i am a number that is between 25 and 55. i am a multiple of the number 4 and the number 6. one of my factors is 9. what number am i?

Answers

Answer 1
4x9=36
36\6=6

The answer is 36

Related Questions

how many 10-digit integers are there which are palindromes? be sure to describe the process you are using.

Answers

There are 90000 palindromes 10-digit numbers.

In this question we need to find the number of 10-digit integers are there which are palindromes.

We know that a palindrome is a number that reads the same forward and backward.

The numbers that remain same even if they are reversed.

For exa., 131, 5225

We can observe that for even digit palindromes first half should be equal second half in reversed order.

we can generalize it as variables:

abcdeedcba, for a not equal to 0

So if we know how many 5-digit numbers are there, all we have to do is reverse it and we will have our 10-digit palindrome number.

There are 10 digits in total (0 - 9)

Since the first digit cannot be zero we excluded it from our choice hence we have 1–9 i.e 9 choices for first place(hundred's place)

The second, third, fourth and fifth digit has all 10 choices.

So, in total there are 9 x 10 x 10 x 10 x 10= 90000 five digit numbers.

Therefore, the total 10-digit numbers which are palindromes =  90000

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find the slope of the line thst passes through (10,2) and (1,3)

Answers

Answer: -7/1

Step-by-step explanation: When graphing both points and drawing a line through it, count how many times it goes up or down and then count how many times it goes left or right.

Eva bought seven and one-half pounds of chocolate chips. She used three and three-fourths pounds in some cookies and two and five-sixths pounds in some muffins. How many pounds of chocolate chips were left?

A three-twelfths pounds
B eleven-twelfths pounds
C one and two-twelfths pounds
D one and seven-twelfths pounds

Answers

Answer:

B

Step-by-step explanation:

[tex]7\frac{1}{2} - 3\frac{3}{4} - 2\frac{5}{6} \\= \frac{15}{2} - \frac{15}{4} - \frac{17}{6} \\(common denominate is 12)\\=\frac{90}{12} -\frac{45}{12} -\frac{34}{12} \\\\=\frac{11}{12}[/tex]

Your answer is B eleven twelfths pounds

Please help me with my geometry work

Answers

In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. ,m∠2 = 40°.

What is a straight line?

An unending, one-dimensional figure with no breadth is a straight line. It consists of an infinite number of points connected on either side of a point. A straight line has a 180° measurement.

Definition of angle bisector.

In geometry, the ray, line, or segment that splits a given angle into two equal pieces is known as the angle bisector. For instance, a 60-degree angle will be split into two angles of 30 degrees each by an angle bisector. Alternatively said, it divides two smaller congruent angles. Given below is an image of an angle bisector of ∠AOB.

The graphic XYQ is the straight line, m∠3 = 40°, and m∠4 = 25°. YZ is the angle bisector of ∠s.

m∠2 =  40°  the reason is YZ is the angle bisector of ∠s

∠s = m∠2  + m∠3  

m∠2  = m∠3

therefore m∠2 =  40°

m∠1  + m∠2 +  m∠3  + m∠4 = 180° the reason is XYQ is the straight line.

substitution of all values

m∠1  + 40° +  25° + 40° = 180°

m∠1  + 105° = 180°

m∠1 =  75°  (straight line, substitution of all values )

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at 2 p.m., two cars leave eagle river, wi, one headed east and one headed west. if the car traveling east averages 55 mph and the car traveling west averages 40 mph, when will the cars be 237.5 miles apart?

Answers

After 2.5 hours cars be 237.5 miles apart.

What is distance?

The measurement of distance between two objects or points can be quantitative or occasionally qualitative. Distance in physics or common usage can refer to a physical length or an estimation based on other factors.

First to write equation for each car

[tex]d_1=r_1t_1 (east bound)\\d_2 = r_2t_2 (west bound)[/tex]

They both start at the same time, and I will stop them both when they are 165 mi apart.

So, [tex]t_1=t_2[/tex] call just t.

[tex]d_1 = r_1t\\d_2=r_2t[/tex]

[tex]t = \frac{d_1}{r_1} \\t= \frac{d_2}{r_2}[/tex]

[tex]\frac{d_1}{r_1} = \frac{d_2}{r_2} \\d_1r_2 = d_2r_1[/tex]            ..(1)

We also know that

[tex]d_1 + d_2 = 237.5[/tex]

[tex]d_2 = 237.5 - d_1[/tex]

[tex]r_1 = 55, r_2 = 40[/tex]

So, equation (1) becomes,

[tex]40d_1 = 55d_2[/tex]

Plug the value of [tex]d_2[/tex].

[tex]40d_1 = 55(237.5 - d_1)\\40d_1 = 13,062.5 - 55d_1\\40d_1 + 55d_1 = 13062.5\\95d_1 = 13062.5\\d_1 = 137.5[/tex]

[tex]d_1 = 137.5 mi[/tex]

Now,

[tex]t = \frac{d_1}{r_1} = \frac{137.5}{55} = 2.5[/tex]

Hence, after 2.5 hours cars be 237.5 miles apart.

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What is the process of the federal congress to making a law

Answers

Answer:

The Bill Begins. Laws begin as ideas.

The Bill Is Proposed. When a Representative has written a bill, the bill needs a sponsor.

The Bill Is Introduced.

The Bill Goes to Committee.

The Bill Is Reported.

The Bill Is Debated.

The Bill Is Voted On.

The Bill Is Referred to the Senate

Step-by-step explanation:

ACSA Governmental Relations staff tracks hundreds of education related bills through the legislative process from introduction through to the Governor’s signature or veto of the bill. We bring most of these bills to ACSA’s Legislative Policy Committee to take positions on behalf of ACSA. Once these positions are set by the Committee, ACSA Governmental Relations staff begins advocating for or against the bill in accordance with the position taken.

When necessary and at key points in the legislative process, we will take our advocacy efforts back to you and ACSA’s membership by sending “Action Alerts” asking you to either send a letter or make a phone call to your legislative representatives and/or policy or fiscal committee members advocating ACSA’s position on the legislation in question. It is important that you respond to “Action Alerts” as quickly as possible as legislation is quickly moving through the process, making most of these alerts time sensitive.

PLEASE HELLPPPP
The White Chuck Glacier is in the Cascade Range of western North America. In 1958 it covered 3.1 km?.
By 2002 it had lost about 70% of its area. What was the area of the glacier in 2002? Show your thinking.

Answers

Answer:

0.93 km

Step-by-step explanation:

The White Chuck Glacier lost 70% of its area between 1958 and 2002, which means that its area was reduced by 70/100 = <<70/100=0.7>>0.7.

Since the glacier-covered 3.1 km. in 1958, its area was reduced by 0.7 * 3.1 km? = <<0.7*3.1=2.17>>2.17 km.

Therefore, the area of the White Chuck Glacier in 2002 was 3.1 km. - 2.17 km? = <<3.1-2.17=0.93>>0.93 km.

In triangle xyz, m∠y = 38.25° and m∠z = 74.3°. determine the measure of the exterior angle to ∠x. 152.05° 112.55° 98.60° 62.05°

Answers

Applying the exterior angle theorem, the measure of the exterior angle to angle X is: B 112.55°.

How to Apply the Exterior Angle Theorem?

In other to find the measure of the exterior angle to angle X, we have to recall the theorem known as the exterior angle theorem, which states that the measure of an exterior angle is equal to the two interior remote angles that are opposite to it.

In triangle XYZ, angle Y and Z are the remote interior angles. We are given the following:

Measure of angle Y = 38.25°

Measure of angle Z = 74.3°

Therefore:

The measure of the exterior angle to angle X = measure of angle Y + measure of angle Z

Substitute

The measure of the exterior angle to angle X = 38.25° + 74.3°

The measure of the exterior angle to angle X = 112.55°

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The answers are

A. Statement: FDC≈FAB Reason: SAS

B. Statement FDC~FBA Reason: AA

C. Statement FDC≈FBA Reason: SAS

D. Statement FDC~FAB Reason: AA

Can I get an answer as well as how it makes sense?​

Answers

Answer:

Step-by-step explanatihelpson:

is c hope it

pls help
write the equation that gives the proportional relationship of the graph
a. y=7x
b.y=35x
c.y=5x
d.y=1/7x​

Answers

Answer:

y=7x

Step-by-step explanation:

Jacob is practicing the 100 meter dash. the data shows his time in seconds. 14, 13, 13.5, 16, 14 15.5, 14.5 Which box plot shows the data?

Answers

Just for your information, 13 is lowest, 16 is highest, therefore starting and ending points of the graph. To best identify the plot, make iqr interquartile range consisting of minimum value, q1, q2, q3 and maximum value.

The box plot for given minimum, maximum, median, Q1 and Q3  is plotted below.

What is a box and whisker plot?

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.

The given data set is 14, 13, 13.5, 16, 14, 15.5, 14.5.

Order of data is 13, 13.5, 14, 14, 14.5, 15.5, 16.

Here, minimum is 13

Maximum is 16

Median is 14

Lower quartile range(Q1) is 13.5

Upper quartile range(Q3) is 15.5

Therefore, the box plot for given minimum, maximum, median, Q1 and Q3  is plotted below.

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an outlier will have an effect on:
1) quartile III
2) the mean
3) the mode
4) the interquartile range

Answers

the mean

the mean is the average, having an outlier will make the average significantly higher or lower than accurate.

Can someone help me out with this questions please?!?!

Answers

The simplified form of inequality -3x - 1 ≥ 20 is x ≤ -7.

The correct option is option (A).

What is number line?

A number line is a line on which numbers are pointed at some intervals, it is used to show numerical operations.

The given inequality is,

-3x - 1 ≥ 20.

To find the right number line from the options

Solve the inequality,

Add 1 to both the sides,

-3x -1 + 1 ≥ 20 + 1

-3x ≥ 21

-x ≥ 21 / 3

-x ≥ 7

x ≤ -7

The value of x are less than or equal to -7. Implies that, in number line graph close circle.

The number line in option (A), is correct option.

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What is the percent of change of 3.25 centimeters to 2.95 centimeters

Answers

The percentage of change is 10.17%.

What is percentage?

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.

Given are the two measures 3.25 centimetres and 2.95 centimetres

The percentage change, of a quantity, is the ratio of the difference in the quantity to its initial value multiplied by 100.

Therefore, The percentage of change = [(3.25-2.95)/3.25]x100

= 0.3/3.25x100

= 10.17%

Hence, the percentage change = 10.17%

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answer for ten points!

Answers

Answer:

try 1239128981441231241

Step-by-step explanation:

myra

3/4 of 8 = 6
Good luck and have a good day

URGENT
pls answer soon

Answers

The measures of the angles are m ∠ 1 = 68°, m ∠ 2 = 126° and m ∠ 3 = 54°

What are parallel lines?

Parallel lines are those straight lines that are always the same distance apart from each other. Parallel lines never meet, no matter how much they are extended.

Given is a figure, in which, lines d, e and lines f, g are parallel and h is a transversal.

In figure, (refer to figure attached)

ABC is a triangle,

Therefore, according to angle sum property of a triangle,

m ∠ 1 + 58° + 54° = 180°

m ∠ 1 = 180° - 112°

m ∠ 1 = 68°

Since, f║g

m ∠ 2 + 54° = 180° (consecutive angles between parallel line are supplementary)

m ∠ 2 = 126°

Similarly, d║e

m ∠ 2 + m ∠ 3 = 180°

m ∠ 3 = 180° - 126°

m ∠ 3 = 54°

Hence, The measures of the angles are m ∠ 1 = 68°, m ∠ 2 = 126° and m ∠ 3 = 54°

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a friend of yours who works in the it department of a bank tells you that tellers are allowed to log in to their terminals only from 9 a.m. to 5 p.m., monday through saturday. what is this restriction an example of?

Answers

Given restriction is an example of Time-of-day restrictions

The correct answer is an option (C)

In this question we have been given a friend tells you that tellers

are allowed to log in to their terminals only from 9 a.m. to 5 p.m., Monday through Saturday.

We need to identify the type of restriction in this example.

We know that time-of-day restrictions are the restrictions that often used to limit the hours during which a user is allowed to log into or access a system.

This type of restrictions helps prevent unauthorized access outside that user's normal working hours .

Therefore, given restriction present in this example: Time-of-day restrictions

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The complete question is:

A friend of yours who works in the IT department of a bank tells you that tellers are allowed to log in to their terminals only from 9 a.m. to 5 p.m., Monday

through Saturday. What is this restriction an example of?

A. User auditing

B. Least privilege

C. Time-of-day restrictions

D. Account verification

the correlation between cost and distance is 0.791. describe the relationship between cost of damage and distance from the nearest fire station.

Answers

According to the question,

Given data,

The correlation between cost and distance is 0.791.

The farther the house is from a first station, the higher cost of damage tends to be.

the correlation between cost and distance

The largest single cost of liver transplantation is the cost of organ acquisition, with the variable portion of that amount being associated travel costs. We assessed the proportion of donors using ground, air, and jet transport and compared the transport costs of these three types of transport and their impact on organ procurement costs for transplant centers.

How is correlation measured?

The sample correlation coefficient r quantifies the strength of the relationship. Correlations are also tested for statistical significance.

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Ben has a barrel in his garden to collect rainwater. The barrel can hold less than 42 gallons of water. Which inequality represents this situation? Ow> 42 Ow< 42 w² 42 Ow≤ 42​

Answers

Answer: The barrel can only hold less than 42 gallons of water, which means w<42.

if anyone can help me solve this i will give you 20 points!!

Answers

Answer:137

Step-by-step explanation:

The answer is 137 because you divide 548 by 4.

Which method could you use to eliminate one
of the variables from the following system of
equations?

4x - 6y = 18
3x + 4y = 5
A. Multiply the first equation by 2 and the second
equation by 3. Then add the equations.
B. Multiply the first equation by 3 and the second
equation by 4. Then add the equations.
C. Multiply the first equation by 4 and the second
equation by -6. Then add the equations.
D. Multiply the first equation by 5 and the second
equation by 18. Then add the equations.

Answers

Answer:

B

Step-by-step explanation:

To eliminate one of the variables from a system of equations, we can multiply one or both equations by constants and then add the equations together. In this case, the correct method to use is to multiply the first equation by 3 and the second equation by 4, and then add the equations together. This will eliminate the y-variable from the system of equations. Thus, the correct answer is option B: multiply the first equation by 3 and the second equation by 4, and then add the equations together.

The correct is option B (i.e.Multiply the first equation by 3 and the second

the equation by 4. Then add the equations.)

multiplying the first equation by 3 and the second equation by 4:

12x - 18y = 54

12x + 16y = 20

subtracting the first equation from the second equation:

     ( 12x - 18y = 54) - (12x + 16y = 20)

                     -2y = -34

                         y = 17

substituting y = 17 in the first equation:

4x - 6(17) = 18

4x = 106

x = 26.5

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The radius of a circle is 5 feet. What is the length of an arc that subtends an angle of
radians?
3л/2
5 ft
Give the exact answer in simplest form.
feet

Answers

The radius of a circle is 5 feet, 23.55 feet is the length of an arc.

What is arc length?

The arc length is, to put it simply, the distance that passes across the curved line of the circle that forms the arc.

The arc length formula may be used to get a circle's arc length from its radius and central angle.

The distance between two places in a curve's section is known as the arc length of a circle. Any portion of a circle's circumference is an arc. An arc's angle at any given location is the angle created by the two line segments connecting that point to the arc's endpoints.

Given that,

radius (r) = 5 feet

angle (θ) = 3π/2

Now as we know,

Arc length = radius x subtended angle in radians

or, Arc length = 5 feet x (3π/2 radians)

or, Arc length = 15π/2

or, Arc length = 23.55 feet

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NEED THIS ANSWERED ASAP!! NEED ALL ANSWERS! FIRST GETS BRAINLIEST!!

Answers

Answer:

AGDB

Step-by-step explanation:

1: 1 is alternate interior because the angles are on opposite sides of the interior of the transversal. (A)

2: 2 is alternate exterior because the angles are on opposite sides of the exterior of the transversal. (G)

3: 3 is same-side interior because the angles are on the same side of the interior of the transversal. (D)

4: 4 is same-side exterior because the angles are on the same side of the exterior of the transversal. (B)

can someone solve: Layla wants to build a wooden box with a volume of 454545 cubic centimeters.

She started with a width of 3\text{ cm}3 cm3, start text, space, c, m, end text and a height of 3\text{ cm}3 cm3, start text, space, c, m, end text.

How long should Layla make the box? if someone could kindly do so, please put an answer AND comment by copying and pasting the answer! omg tysm

Answers

Layla can make the box up to 5centimeter long.

How to calculate volume of a box?Rectangles have a volume that is equal to their length, breadth, and height. If your box is a cube or a rectangular prism, all you need to know is its size in terms of length, width, and height. Then, to calculate volume, multiply them all together.

       V = l x w x h

Measure the box's length. If you look up at your box from the bottom, the top appears to be a flat rectangle with the longest side being the height. This number should be noted as "length." If you measure one side in inches, you must measure them all in inches. Be sure to use the same measurement for each side.Next to the length, gauge the box's breadth. The box's other edge, adjacent to the length, is its breadth. The breadth is the side that forms a "L" with the length when you look at one side of the box. This measurement should be noted as "width." The side that is shorter is always the width.The box's height should be measured. The distance from the top of the box to the ground is the last side you haven't measured. This measurement should be noted as "height." Add the three sides together and multiply. Remember that the formula for volume is V = length x width x height, therefore to calculate volume, simply multiply the three sides by one another. Include the measurement units you used as well, so you don't misinterpret your results.Units should be added to your volume. Volume is a measurement, but if you don't know the system used to measure it, your result won't signify anything. Your form of measurement cubed is the proper way to write out volume.

Here it is given that,

volume= 45cm³

width= 3cm

height=3cm

volume = width × height × length

45cm³=3cm×3cm×length

45cm³=9cm²×length

length=45cm³÷9cm²

          =5cm.

Hence, Layla can make the box up to 5centimeter long.

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This graph shows all the key characteristics of a particular polynomial function. Drag tiles to complete the function rule that could be represented by the graph

Answers

The function that can be represented by this graph is defined as follows:

f(x) = 2x³ + x - 3.

How to define the function?


The function is defined looking at the features of the graph.

The first feature which we look at is the y-intercept, as the graph of the function crosses the y-axis at y = -3, hence the function can be defined as follows:

f(x) = ax^n + x - 3.

The function has an inflection point, as it has a change in it's concavity, thus the function has a second derivative of the first degree, meaning that the function is of the third degree, that is:

n = 3.

The x-intercept is when the function crosses the x-axis, meaning that when x = 1, y = 0, then the leading coefficient a is obtained as follows:

0 = a + 1 - 3

a = 2.

Which means that the function rule can be given by:

f(x) = 2x³ + x - 3.

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10.
Manny took AABC and translated it according to (x,y)→(x+2,y-3).
What are the points of AA'B'C'?

Answers

the points of AA'B'C' is A'(4,0)  B'(5,-1)  C'(7,-2)

What are the points of AA'B'C'?

Solution:

x, y = 0

(x + 2, y - 3) = 0

x + 2 = 0

x = -2

y - 3 = 0

y = 3

AABC

A(2,3)  B(3,2)  C(5,1)

A: (2,3) → (2+2,3-3) = (4,0)

B: (3,2) → (3+2,2-3) = (5,-1)

C: (5,1) → (5+2,1-3) = (7,-2)

AABC and A'B'C are equivalent. A student attempts to identify which of these straightforward transformations converted AABC into AA'B'C'. Points A and Bare are situated on sides CE and ED, respectively, in the CED as shown below. Given that AE = 3.75, AC = 5, EB = 4.5, and BD = 6, line segment AB is drawn. A"B"C" is a triangle congruent to ABC if T is the identity or a translation. A"B"C" is a triangle if T is a rotation by angle x but not a halfturn.

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Is this statement true or false?

Answers

TRUE: The given condition is correct that m ≤ 10 and m > 4.

Explain the term inequality of the numbers?An inequality in mathematics depicts the relationship between these two values in an unbalanced algebraic expression. A sign of inequality can be used to show that one of the two variables is larger than, greater than or comparable to, less than, or equal to some other value.Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two parameters are not equal. But several inequalities are utilized to compare the numbers, either it is less than or higher than.

For the given statement;

m ≤ 10 and m > 4, the number for the value of m be;

m = 5, 6, 7, 8, 9, 10.

Thus, the given condition is correct that m ≤ 10 and m > 4.

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If anyone can help me on the #14 please

4(4÷2+4)

Answers

Answer:24

Step-by-step explanation: 4(4÷2 + 4) = 24/1 = 24

Spelled result in words is twenty-four.

Divide: 4 / 2 = 2

Add: the result of step No. 1 + 4 = 2 + 4 = 6

Multiple: 4 * the result of step No. 2 = 4 * 6 = 24

This calculator adds two fractions. When fractions have the same denominators calculator simply adds the numerators and place the result over the common denominator. Then simplify the result to the lowest terms or a mixed number.

Answer:

24

Step-by-step explanation:

We have to solve this according to BODMAS Theorem.

That is,

B ⇒ Brackets

O ⇒ Of

D ⇒ Division

M ⇒ Multiplication

A ⇒ Addition

S ⇒ Subtraction

Let us solve it now.

4 ( 4 ÷ 2 + 4 )

4 ( 2 + 4 )

4 × 6

24

watch your cholesterol: the mean serum cholesterol level for u.s. adults was 196 , with a standard deviation of 36 (the units are milligrams per deciliter). a simple random sample of 104 adults is chosen. use the ti-84 calculator. round the answers to four decimal places. what is the probability that the sample mean cholesterol level is greater than 205 ? the probability that the sample mean cholesterol level is greater than 205 is

Answers

The probability that the sample mean cholesterol level is greater than 205 is 0.62%.

To find the probability that the sample mean cholesterol level is greater than 205, we need to use the standard normal distribution and the formula for a normal distribution.

The sample mean cholesterol level, μ, is the population mean cholesterol level, 196, and the standard deviation of the sample mean, σ, is the standard deviation of the population divided by the square root of the sample size:

μ = 196

σ = 36 / √104 = 3.17

We want to find the probability that the sample mean cholesterol level is greater than 205, so we need to find the area under the curve of the standard normal distribution to the right of z = (205 - 196) / 3.17 = 2.5.

We can use the TI-84 calculator to find this probability by using the normal cdf function. In the function, we enter 2.5 as the lower bound and infinity as the upper bound to find the area under the curve to the right of z = 2.5.

The probability that the sample mean cholesterol level is greater than 205 is about 0.0062, or 0.62%.

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To find the mass in grams, ______ the number of kilograms by the unit rate, _____ grams per kilogram.


PLEASE HELP

Answers

Answer:

To find the mass in grams, multiply the number of kilograms by the unit rate, 1000 grams per kilogram.

Explanation:

For every kilogram, there are 1000 grams. So, if you have 12 kilograms, you have 12,000 grams.

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g common law is: group of answer choices law derived from actual cases decided by courts in the judicial branch. another name for the federal constitution and state constitutions. derived from laws that are passed by legislative bodies such as congress. law created by the executive branch. news and views 29 november 2022 a viral cocktail calms gut inflammation abnormalities in gut bacteria can contribute to hard-to-treat illnesses, such as inflammatory bowel diseases. efforts to harness bacterium-targeting viruses reveal a promising way to tackle these conditions. alice bertocchi A dealer that holds a large long inventory position should: O a. Raise the ask price. eb. Lower the ask price. C. None of the above. What is the gathering of a product for marketing? the unlicensed assistive personnel (uap) records a capillary blood glucose of 253 mg/dl (14.04 mmol/l) and the nurse administered insulin for coverage to the client. the uap reports to the nurse that the blood glucose was incorrect. what actions should the nurse take? select all that apply. john and jenny have been saving for 2 years to take their six children on a vacation to disneyworld. they are surprised to find out that airline tickets are far more expensive than they had anticipated. they decide to try to find cheaper tickets on priceline, where they are allowed to set the price they are willing to pay for the airline tickets. what form of e-business model are john and jenny using? group of answer choices Pls answer the questions properly I will mark you brainiest.pls1. What is Assistive Technology?2. Find out and list some of the initiatives taken by the UAE government to useAssistive Technology to help people of determination.3. What are the services provided by RTA for the People of Determination? Hydroelectric systems generate electricity using the energy of falling water. A pumped storage hydroelectric system can also be used as a way of storing energy for future use. Explain how * an int data field named value that stores the int value represented by this object. * a constructor that creates a myinteger object for the specified int value. a getter method that returns the int value. * the methods iseven(), isodd(), and isprime() that return true if the value in this object is even, odd, or prime, respectively. * the static methods iseven(int), isodd(int), and isprime(int) that return true if the specified value is even, odd, or prime, respectively. * the static methods iseven(myinteger), isodd(myinteger), and isprime(myinteger) that return true if the specified value is even, odd,or prime, respectively. * the methods equals(int) and equals(myinteger) that return true if the value in this object is equal to the specified value. * a static method parseint(char[]) that converts an array of numeric characters to an int value. * a static method parseint(string) that converts a string into an int value. draw the uml diagram for the class and then implement the class. write a client program that tests all methods in the class. given that the definition of a prime number is a positive integer be sure to instruct the use to only enter positive integers. Say that we have three voters deciding among seven candidates, a, b, c, d, e, f, g. Their preference orderings are as follows.1 2 3(Best) c f ga b be c cg g db a ed d f(W orst) f e aa. Find the top cycle.b. For each candidate in the top cycle, write down an agenda (a sequence of majority rulevotes) that makes that candidate win (you can write the agenda as a tree).c. Say that the voters use the Borda count system (each voter gives 6 points to their firstchoice, 5 points to their second choice, and so on) to decide among the candidates. Whichcandidate wins?d. Is the Borda count winner also the Condorcet winner?e. Which candidate does the worst in the Borda count?f. Say that the person who does worst in the Borda count (your answer in part e. above) isembarrassed about their poor performance, and tries to convince another candidate to dropout so that they are no longer the worst person. If a candidate drops out, there would besix candidates, and hence in the Borda count system, each voter gives 5 points to their firstchoice, 4 to their second choice, and so forth. If a candidate drops out, is it possible for theperson who was originally the worst to no longer be the worst? If so, which candidate shoulddrop out? If not, please explain why not. At your college, there is a school-sponsored website that matches people looking for roommates. The school claims that 36% of students will find a match their first time using the site. You are a writer for the school newspaper and are suspicious of the claim. To test it, you decide to perform a hypothesis test. To do so, you choose a random sample of 160 students who visited the site looking for a roommate. Of the students surveyed, 48 said they found a match their first time using the site. You confirm that it is appropriate to perform a Z-test. Why is a Z-test appropriate? Find z, the value of the test statistic for your Z-test. Round your answer to three or more decimal places. ZE = 0 5 ? LAB: Circle with a Promise (please help)The given web page displays a growing orange circle when the Show Circle button is clicked. Your goal is to show a text message inside the circle as show below, by creating callbacks for a Promise object.The circle.js file contains a click event handler showCircleClick() for the Show Circle button that calls showCircle() to display the orange circle.The showCircle() function returns a Promise object that may be fulfilled or rejected.The promise is fulfilled in one second if showCircle() is not called a second time before the second elapses.The promise is rejected if showCircle() is called a second time before the second elapses.Modify the showCircleClick() to call showCircle() and handle the fulfilled or rejected callbacks using the returned Promise's then() method.If the promise is fulfilled, the containing the circle is passed to the callback function. The message "Ta da!" should be added to the 's inner HTML.If the promise is rejected, an error message is passed to the callback function. The error message should be displayed using alert().If your modifications are written correctly, you should see the "Ta da!" message appear one second after the Show Circle button is clicked. If you click Show Circle twice quickly, you should see the error message appear in the alert dialog box, as shown below.---------------------------------------------given code---------------------------------------------------window.addEventListener("DOMContentLoaded", function () {document.querySelector("#showCircleBtn").addEventListener("click", showCircleClick);});function showCircleClick() {// TODO: Add modifications hereshowCircle(160, 180, 120);}// Do not modify the code belowlet timerId = null;function showCircle(cx, cy, radius) {// Only allow one div to exist at a timelet div = document.querySelector("div");if (div !== null) {div.parentNode.removeChild(div);}// Create new div and add to DOMdiv = document.createElement("div");div.style.width = 0;div.style.height = 0;div.style.left = cx + "px";div.style.top = cy + "px";div.className = "circle";document.body.append(div);// Set width and height after showCircle() completes so transition kicks insetTimeout(() => {div.style.width = radius * 2 + 'px';div.style.height = radius * 2 + 'px';}, 10);let promise = new Promise(function(resolve, reject) {// Reject if showCircle() is called before timer finishesif (timerId !== null) {clearTimeout(timerId);timerId = null;div.parentNode.removeChild(div);reject("showCircle called too soon");}else {timerId = setTimeout(() => {resolve(div);timerId = null;}, 1000);}});return promise;} Solve for x, show all work.[tex]2^3^x^+^1=1/4[/tex]The value of x in the given equation, 2^(3x+1)=1/4, is x = -1 Conrad Savings Bank has a $50 overdraft fee. On Friday, Mr. McQuire deposited his paycheck of $332 for a totalaccount balance of $750. The next morning, his wife wrote a check for $1,183.15 for a new refrigerator and stove.The check cleared the bank by the end of the day. What is the current balance in the McQuire's account? describe an earlier occasion when salvius, through his inaction, could have caused harm to cogidubnus. Bag A contains 2 black marbles and 3 white marbles. Bag B contains 5 black marbles and 8 white marbles. Sarah adds some marbles to bag B, the probability of picking a black marble at random from either bag is now the same. Work out the smallest number of black marbles and white marbles he adds to bag B FILL IN THE BLANK. according to the text, economists are starting to understand that matter(s) just as much as to occupational success according to the text, economists are starting to understand that matter(s) just as much as to occupational success extroversion; conscientiousness social dynamics; personality dynamics personality traits; cognitive ability iq; cognitive ability any area that has been treated with talcum powder or skin lotion must be rubbed with ________ to remove the residue and facilitate the adherence of the leads. hat is the term used when the president and his advisors formulate a plan primarily designed to protect the independence and political integrity of the united states by strategizing defense against actual or potential enemies? Calculate the power of an electric bulb which consumes 2400 J in a minute