Answer:
4
Step-by-step explanation:
2*2=4
what is the volume of the shape
Answer:
Step-by-step explanation:
Hope it helps!
The Population of New York State can be modeled by
Answer: 19.71 Million.
how is (-7.5)-21.04 and (-7.5)+21.04 the same value?
The values (-7.5)-21.04 and (-7.5)+21.04 are not the same
What is a decimal?A decimal can be defined as a number consisting of a whole number and also a fractional part.
These numbers are separated by a dot known as the decimal point
The decimal numeral system is seen as a standard system that denotes integer and non-integer numbers.
It is important to note the following operations;
+ × + = ++ × - = -- × + = -- × - = +From the information given, we have;
(-7.5)-21.04
Multiply the operation
+ 157. 8
Then,
(-7.5)+21.04
Multiply the operation
- 157. 8
Hence, the values are either negative or positive.
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d) if 36 reindeer are randomly selected, what is the probability their mean weight is less than 100kg
When 36 reindeer are chosen at random, the probability that the mean weight is less than 100 kg is 0.1492.
A standard error is the standard deviation of its sampling distribution or an interpretation of that standard deviation.
Given,
Mean of the weights = 102.4 kg
Standard deviation = 13.9 kg
To determine the probability that the mean weight of 36 reindeer will be less than 100 kg, first compute the standard error using the formula,standard error, [tex]\sigma_x=\frac{\sigma}{\sqrt{n}}[/tex]
Where, [tex]\sigma[/tex]=standard deviation
n= number of reindeer
substitute the values in the formula,
[tex]\sigma_x=\frac{13.9}{\sqrt{36}}\\\\\sigma_x=2.31667[/tex]
Now,
[tex]P(x < 100)=P(x < \frac{100-102.4}{2.316})\\\\=P(z < -1.04)[/tex]
from z-score table,
=0.1492
Thus, the probability the their mean weight is less than 100 kg is 0.1492.
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Your question is incomplete, here is the complete question.
The weight of male reindeer of the R. Santa Claus subspecies is normally distributed with mean 102.4 kg and standard deviation 13.9 kg
if 36 reindeer are randomly selected, what is the probability their mean weight is less than 100kg?
** h(x) = 2f(x).g(x)
Find the value of h’(1), if f(1) = 3, g(1) = 2, f’(1) = 4, g’(1) = 1.
The value of h’(1) is = 22
How may the chain rule example be used?
Solution: Since f′(x)=ex, the exponential function with base e's derivative is simply the function itself. G′(x)=4 is the derivative of g. The chain rule states that h′(x)=f′(g(x))g′(x)=f′(4x)4=4e4x. It was crucial that we assessed f's derivative at 4x in this example.
Given that :
h(x) = 2f(x).g(x)
f(1) = 3, g(1) = 2, f’(1) = 4, g’(1) = 1
h’(x) = 2 f'(x)g(x) + g'(x)f(x) by chain rule
h’(1) = 2 f'(1)g(1) + g'(1)f(1)
= 2 * (4 * 2 + 1 * 3)
= 2* (11)
= 22
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Sadie is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Sadie will earn $40 every time one of her songs is played in a commercial and she will earn $120 every time one of her songs is played in a movie. Sadie's songs were played on 3 more commercials than movies, and her total earnings on the royalties from all commercials and movies was $440. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Sadie's songs were played. Define the variables that you use to write the system.
The number of commercials and movies on which the songs were played are 5 and 2.respectively
How to determine the number of commercials and movies on which the songs were played.From the question, we have the following parameters that can be used in our computation:
Earnings from songs played in commercial = $40Earnings from songs played in movie = $120Total earnings = $440The number of commercials is x, and the number of movies is y
The above parameters when represented as an equation is as follows
40x + 120y = 440
x = y + 3
Substitute x = y + 3 in 40x + 120y = 440
40(y + 3) + 120y = 440
Expand
40y + 120 + 120y = 440
Evaluate the like terms
160y = 320
Divide by 160
y = 2
Recall that
x = y + 3
So, we have
x = 2 + 3
x = 5
Hence, the number of commercials is 5 times
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can you please help me
The equivalent exponential expression for the radical expression [tex]\sqrt{2 + 3}[/tex]
is [tex](2 +3)^{\frac{1}{2} }[/tex].
How to find equivalent expression ?Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
Equivalent expression may not look the same but substituting the variables will result to the same values.
Therefore, let's find the equivalent exponential expression for the radical expression can be found as follows:
[tex]\sqrt{2 + 3}[/tex]
Using exponential law,
[tex]\sqrt{x} = x^{\frac{1}{2} }[/tex]
Therefore,
[tex]\sqrt{2+3} = (2 +3)^{\frac{1}{2} }[/tex]
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In the Venn diagram, the universal set, S, represents all positive integers less than 10.
What is the complement of set A?
O (1,3,5,7,9)
O (3,5,7)
O {1,2, 3, 4, 5, 6, 7, 8, 9)
O {1,3,5,7)
We can solve this question using the concept Sets and Relations . The complement of set A is (1,3,5,7,9).
What do you meant by Sets and Relations?A collection of ordered pairs having one item from each set makes up a relation between two sets. If the ordered pair (x,y) is present in the relation and the objects x and y come from different sets, then the objects are said to be connected. Sets are collections of clearly defined objects, relations show connections between individuals in two sets A and B, and functions are a special kind of relation where each element in A has exactly one relationship (or no more than one) with each element in B.
CalculationSo the given universal set S contains all positive integers less than 10.
So S={1,2,3,4,5,6,7,8,9}
Set A={2,4,6,8}
Complement of Set A is nothing but the elements missing in the Set A.
so complement of Set A= {1,3,5,7,9}
We can solve this question using the concept Sets and Relations . The complement of set A is (1,3,5,7,9).
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The first five terms of an arithmetic sequence are shown below: 20, 17, 14, 11, 8, …
Let n represent the term number and f(n) the term in the sequence. The function ____ represents the sequence
A: f(n)=-3n+23
B: f(n)=-3n +61
C: f(n)= 20-3n
D: f(n) =20n-3
Click or tap the graph to plot a point.
Function representing the sequence will be f(n) = (23 - 3n
The first five terms of an arithmetic sequence are as 20, 17, 14, 11, 8....
Let n represents the number of term and f(n) the the term in the sequence.
Then we have to find the function that represents the sequence.
As we know explicit formula of an arithmetic sequence is given by
Or the function representing the sequence will be
f(n) = a + (n-1)d
where a represents first term of the sequence a = 20
and common difference d = 17-20 = (-3).
Now the function which represents this sequence will be
f(n) = 20 + (n-1)(-3) = 20 - 3n + 3 = 23 - 3n
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32. What is the area of the rhombus in simplest radical form? The figure is not drawn to scale.
(1 point)
The area of the rhombus is 49√6. Option B
How to determine the area of the rhombusThe formula for calculating the area of a rhombus is expressed as;
Area = pq/2
Where;
p and q are the diagonals of the rhombus
From the diagram shown, let's determine the value of p
Using the trigonometric identity;
Tan θ = opposite/adjacent
Opposite side = pAdjacent side = 7Substitute the values into the formula, we have;
tan 60 = p/7
Find the value of tan 60 and then substitute
√3 = p/7
cross multiply
p = 7√3
But;
Area = 7√3 × 7√3/2
Area = 49√6
Hence, the value is 49√6
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Rick is a plumber, and he is ordering a part to make a repair. He refers to this table to determine the part number. The part he must order needs to have a float diameter of less than 8 inches, weigh more than 1 pound, and fit a 5/16-SAE spud connection. Which part number should he order?
pls help
Rick should order part number G371-7 So the option A is the correct Answer
What is a part number ?
Part designs or materials are identified by part numbers, which are sometimes abbreviated as PN, P/N, part no., or part #. Its goal is to make referencing to that thing simpler. A part number clearly identifies a part design both inside and occasionally outside of a single organization. For instance, it is simpler to identify a screw as "HSC0424PP" rather than "Hardware, screw, machine, 4-40, 3/4" long, pan head, Phillips." The part number in this illustration is "HSC0424PP," which may be prefixed in database fields as "PN HSC0424PP" or "P/N HSC0424PP."
A serial number is a specific identifier of a specific instantiation of a part design, much as a part number identifies a component design (regardless of its instantiations). To put it another way, a part number designates each specific (physical) item as having been manufactured to a specific, original design;
As part number G371-7 fits perfectly to the desired requirement of float diameter of less than 8 inches, weigh more than 1 pound, and fit a 5/16-SAE spud connection that's why it is the correct answer
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joe loses 6 pounds during basketball practice. how many cups of water must he consume to replenish this loss
In order to regain the amount of water Joe losed during practice he should drink 10 cups of water.
A pound is equivalent to 453.59 mg, whereas a cup is equivalent to 236.59 ml.
You may roughly calculate that 2 cups equal 1 pound of water. The density should be 1 mg/ml if the fluid is mostly water.
The number of cups will be,
6 pounds * 453.59 (mg/pounds) * (1mg/ml) / (236.59 ml/cups)
= 10 cups .
Water is a crucial component for all living things, including people and other animals. Naturally, the water must go somewhere when it ascends the plant. Water loss will result from water evaporation (transpiration in plants)
Our breath, skin, urine, and sweat all cause water loss. A person's body will typically consume 2.5 L of water every day and expend the same amount. Your body will "inform you" you are thirsty and need to drink water if you get dehydrated (Figure 5). You have undoubtedly also noticed that when you drink less water, your pee is more concentrated.
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a company makes wax candles in the shape of a cylinder. each candle has a diameter of 4 inches and a height 8 of inches. if the company used of wax, how many candles did it make? use for , and do not round your answer.
If the company has made 6732.16 in³ wax , Total number of candles made is 67
According to the question,
It is given that a wax candle is in cylindrical shape
Diameter of candle = 4 in
Radius will be = 4 / 2
=> 2 in
Height of each candles = 8 in
Company has used 6732.16 in³ of wax
We have to calculate number of candles company has made
Volume of cylinder = πr²h
Where r is radius and h is height
Substituting all the values,
Volume of candle = π (2)² (8)
=> V = 3.14 × 4 × 8 (putting π = 3.14)
=> V = 100.48
Therefore , Number of candles made = Total volume /volume of one candles
=> 6732.16 / 100.48
=> 67 candles are made by company
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Over which interval does h(x) have a negative average rate of change?
A) (-6,-4)
B) (-1 ,6)
C) (4 , 6)
D) (-4, 6)
the f-distribution's curve is positively skewed. group startstrue or falsetrue, unselectedfalse, unselected
The f-distribution's curve is positively skewed. Hence, the statement is true.
We have to check whether the statement is true and false.
The given statement is "The f-distribution's curve is positively skewed."
We can compare two populations using a F statistic thanks to the F distribution. The F distribution can be used to detect whether there is a significant difference in the variance between the means of two populations for ANOVA testing. Regression analysis can also make use of the F distribution to assess how well various models fit together.
The F distribution's graph is always positive and slanted to the right, while the form might vary based on the numerator and denominator degrees of freedom.
The f-distribution's curve is positively skewed. Hence, the statement is true.
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write the equation of the line in slope intercept form
(-5, -11) and (-2, 1)
Answer:
Step-by-step explanation
The slope intercept form is M=y2-y1 over x2-x1.
The answer for the equation is 12/3. 3 goes into 12 four times, so the answer is 4.
2x+2y=2
x-y=3
solve the using system of elimination
HELP ASAP!!!!!!!!
Answer: 12=2
x y =3 so 2x3+2x3=12 (2x3 = 6) so 6+6=2 6+6=12 so therefore 12=2
Can someone please help me with this? I’ll be superrr duper thankful! :D
plsss help i’ll give brainlist to right answer
Answer:All I know is that it’s not < or > but It might be ≤
Step-by-step explanation: Bye the way, you can only give brainliest when there is two questions.
[tex]\leq[/tex]
Step-by-step explanation:
Evaluate each function
The function is given as g(n) = -n + 5 then the value of g(1) is 4. the correct option is B.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output. . Simplification usually involves making the expression simple and easy to use later.
The procedure in mathematics to utilize and analyze the function or expression to make the function or expression uncomplicated or more coherent is called simplifying and the process is called simplification.
From the given function, g(n) = -n + 5
By plugging in the value of 'x' in the bracket, we have;
g(n) = -n + 5
g(1) = -1 + 5
g(1) = 4
Therefore, the value of function is 4.
Hence, the correct option is B.
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Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then
find the area of the region. 2y =4√x ; y = 5 ; and 2y+4x = 8
the area of the region. 2y =4√x ; y = 5 ; and 2y+4x = 8 is 9, using the concept of area under the curve.
What is the area under the curve?The region between a curve and the -axis is referred to as the "area under a curve." This region may be wholly above the -axis, entirely below the -axis, or somewhere in between. The area under a curve in calculus is a picture of an integral.
The region enclosed by the curve, the axis, and the boundary points is referred to as the "area under the curve." Using the coordinate axes and the integration formula, the area under the curve has been determined as a two-dimensional area. The area of the asymmetric plane form in a two-dimensional array is provided by the region beneath the curve.
The region bounded by the lines y = 5 and 2y + 4x = 8 and the curve
2y = 4√x
Now, finding the intersecting point between 2y + 4x = 8 and 2y = 4√x
so, 4√x + 4x = 8
or, √x + x = 2
or, √x = (2 - x)
or, x = (2 - x)²
or, x = x² - 4x + 4
or, x² - 5x + 4 = 0
or, ( x - 4) ( x - 1) = 0
or, x = 4, 1
when x = 4 then y = 2√4 = 4
when x = 1 then y = 2 √1 = 2
when y = 4 and x = 4 then equation 2y + 4x = 8 is not satisfied.
Thus, only intersection point is: (1,2)
This is the type (II) region.
So, integrate the region with respect to y.
Now, area =
= [tex]\int\limits^5_2 {(y/2)^2 - ((8-2y) / 4)} \, dy[/tex]
= [tex]\int\limits^5_2 {[(y^2/4) -2 + (y/2)]} \, dy[/tex]
= [tex]\frac{1}{4} [y^3/3]^5_2 - 2 [y]^5_2 + \frac{1}{2} [y^2/2]^5_2[/tex]
= [tex]\frac{117}{12} - 6 + \frac{21}{4}[/tex]
= [tex]\frac{108}{12}[/tex]
= 9
Thus, area = 9 of the region. 2y =4√x ; y = 5 ; and 2y+4x = 8.
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Dave constructed two angles that are congruent to each other. After constructing the angles, he found that together they form a linear pair. What is true about each of these individual angles?
What is true about the individual angles that are linear pairs is that; They are right angles
How to Interpret Linear Pairs of Angles?
Linear pairs is also called supplementary angles and it means that both angles sum up to 180 degrees.
Now, we are told that Dave constructed two angles that are congruent to each other. Now, if both angles are congruent to each other, then it means that they are equal and since they are linear pairs, they still sum up to 180 degrees.
If we denote these congruent angles as x, then it means that;
x + x = 180
2x = 180
x = 180/2
x = 90°
Thus, we can say that both of the angles are right angles.
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Rachel van Dressler earns 3% commission on all sales. What was her total sales amount if she earns a commission of $3652
Answer:
Van Dressler's total sales amount is $12,166.6666667
Step-by-step explanation:
3% = $365
365/3*100 =$12,166.6666667
Mitchell's family is slow cooking 2 and 3-fourths pounds of meat. The recipe says to cook the meat 1 and 1-half hours per pound.
How long should Mitchell's family cook the meat?
Mitchell's family will take 4 1/8 hours of time to cook the meat.
Multiplication:Maltiplication is reffered as adding multiple times. It is a one of the fundamental Mathematical operation. The symbol '×' used to denote the Maltiplication.
We use Multiplication to simplify the addition of the same number multiple times.
Here in this problem we use multiplication to solve the problem.
Here we have
Mitchell's family is slow cooking 2 and 3-fourths pounds of meat.
=> 2 and 3-fourth = 2 3/4 = 11/4 pounds of meat
The recipe says to cook the meat for 1 and a half hours per pound
For 1 pound of meat = 1 and 1/2 hours = 3/2 hours
The time required to cook 11/4 pounds = (11/4)(3/2) hours
= [tex]\frac{11}{4} (\frac{3}{2})[/tex] = [tex]\frac{33}{8}[/tex] = 4 (1/8) hours
Therefore,
Mitchell's family will take 4 1/8 hours of time to cook the meat.
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Help fast I can’t figure this out
Answer:
100
Step-by-step explanation:
x^3 = 1,000,000 Find the cube root of 1,000,000
x^3 = 1.0x10^6 Using scientific notation, we can split the 1,000,000 into a 1.0 and a factor of 10*10*10*10*10*10 or 10^6
x = 1.0x10^2 The cube root of 1.0 is 1.0. The cube root of 10^6 is found by dividing the exponent by 3: 10^2
The cube root of 1,000,000 is 1.0X10^2, or 100.
x = 100
8. The quadratic function below models the flight of a model rocket, where
the height, h(t) is in metres, and the time, t is in seconds. When does the
rocket hit the ground?
h(t) = -5t² +42t + 54
The rocket hit the ground is 6.3 sec.
The quadratic equation y = -x2 - 12x, where y is the height of the rocket in metres at time x seconds after launch, may be used to describe the trajectory of a model rocket. The rocket's highest point should be noted, along with the time it was at that height.
A rocket's height is a function of time, h(t), where h is measured in metres and t is measured in seconds. 9.8 m/s2 is the rate of change of velocity (d2h dt2 - t). The rocket is catapulted into the air, reaching a speed of 50 m/s at time t0.
To find the rocket's height at t = 2 sec, we just have to substitute 2 into the equation for t and then solve for h:
h = -5*t2 + 30*t + 10
h = -5(2)2 + 30(2) + 10
h = -5(4) + 30(2) + 10
h = -20 + 60 +10
h = 50 m
The height of the rocket 2 seconds after launching it is 50 meters.
To find the x-coordinate of the vertex of a parabola, we use the formula:
t - 3 = ± √(11)
t = 3 ± √(11)
t = 3 ± 3.3
Solving for t, we get two solutions:
t = 3 - 3.3
t = -0.3 sec
and
t = 3 + 3.3
t = 6.3 sec
Remember that the rocket takes off from an elevated platform (the roof of a building), not from the ground, in order to comprehend the two alternatives we came up with. Even though we have two x-intercepts, only one of them, tground = 6.3 seconds, is related to when the rocket touches down. The other x-intercept, t = -0.3 sec, only has theoretical significance and is therefore irrelevant in our actual situation.
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Rugged cabin co. provides pre-made materials to build cabins. to ensure materials are in supply and ready for quick delivery, the company offers cabins in only three sizes. each cabin has rectangular floor plan where the length is equal to 5 feet more than twice the width. which expression represents the area, in square feet, for each cabin size?
A. 2w^2 + 5w, where w is the width
B. 2w^2 + 5, where w is the width
C. 2w^2, where w is the width
D. 10w^2 + 5 w, where w is the width
The expression 5w + 2w² represents the area, in square feet, for each cabin size
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
Area of a rectangle = length * width = l*w
length is equal to 5 feet more than twice the width.
=> l= 5+2w
So, area = ( 5+2w ) *w
= 5w + 2w²
Thus, the expression 5w + 2w² represents the area, in square feet, for each cabin size
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what is the point estimate of the proportion of the population of adults who do think that today's children will be better off than their parents? if required, round your answer to two decimal places.
The point estimate of the proportion of the population adults who think that today's children will be better off than their parents is 0.24.
The point estimate of P, is defined as the proportion of successes in the sample.
P' = X/N ; where X = number of successes; N = total trials.
Here, N = 1000
According to the Child outlook file, number of "yes" = 240.
Hence, P' = 240/1000
P' = 0.24
Therefore, the point estimate of the proportion of the population adults who think that today's children will be better off than their parents is 0.24.
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Johnny bought 4 adult tickets and 8 children tickets for $81. Leslie bought 2 adult
tickets and 2 children tickets for $28.50. How much was each type of ticket.
Adult tickets cost $8.25 and children ticket is $6.
How to illustrate the equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions written on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
Let adult tickets = a
Let children tickets = c
Since Johnny bought 4 adult tickets and 8 children tickets for $81. Leslie bought 2 adult
tickets and 2 children tickets for $28.50.
This will be:
4a + 8c = 81 ....i
2a + 2c = 28.50... ii
From equation ii a + c = 14.25
a = 14.25 - c
Put this into equation I
4a + 8c = 81 .
4(14.25 - c) + 8c = 81
57 - 4c + 8c = 81
4c = 81 - 57.
c = 6
Since a = 14.25 - c
a = 14.25 - 6.
a = 8.25
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Solve the following inequality
Answer:
m < 1 OR m > 7
Step-by-step explanation:
3m + 2 < 5
3m < 3
m < 1
(m + 1) / 2 > 4
m + 1 > 8
m > 7