Simplify the expression in the radical symbol to
determine a in
y= a√x-h+k
The graph is a vertical
X stretch by a factor of 8.
stretch by a factor of 2.
compression by a factor of 8.
compression by a factor of 2.

Answer: the answer is 21

Step-by-step explanation:

If one angle measures 170°, and another angle measures (6k + 44)° and both are vertical angles that means the second angle should be the same as the first angle.

Vertical angles are congruent meaning they have an equal measure.

Now we have to find k

(6k + 44) = 170

subtract 44 - 44 and 170 - 44

(6k) = 126

divide 6 by 6, that leaves with just k on the left.

126 divided by 6  equals to 21

k = 21

Hope this helps!

The money Trevor's family spend, in total, on shower water in the past month is $14.4

Two or more expressions with an Equal sign is called as Equation.

Given that the Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms.

In the past month, each person showered for an average of 480 minutes

an average 72 liters of shower water (over the entire month)

The cost of water per litre is 0.20 dollars.

We need to find the money Trevor's family spend, in total, on shower water in the past month

Cost of water used per minute = Water used by each person per month / Time each person spent bathing × Cost of water per liter

= 72 / 480 × 0.20

= 0.15 × 0.20

= $0.03.

Now 0.03×480=14.4.

Hence, 14.4 is the money Trevor's family spend, in total, on shower water in the past month.

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The answer is that a risk matrix/heat map has two factors namely, likelihood and Potential Impact on its x-axis and y-axis respectively.

What is a Risk map ?

A risk heat map is a tool used to present the results of a risk assessment process visually and in a meaningful way. Risk assessment is a critical step in risk management. It involves evaluating the likelihood and potential impact of identified risks.

Risk maps are a way of representing the resulting qualitative and quantitative evaluations of the probability of risk occurrence and the impact on the organisation in the event that a particular risk is experienced.

Organisations generally map risks on a heat map using a ‘residual risk’ basis that considers the extent to which risks are reduced by risk response strategies.

So, a risk matrix/heat map plots threats on a two-dimensional grid to assess qualitative risk. it has two factors as its x and y axes , Likelihood and Potential Impact respectively.

Please find the attached image.

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The carbinet has rectangular floor plan where the length is equal to 5 feet more than twice the width.  The the expression that represents the area in square feet is Option B 2w²+5. ∧where w is the width

The area of the rectangle is the floor space the rectangle can occupy at a given time.

The given parameters are

L= 2w+5

The width = w

Then area is given by the formula

A=L*W

A=2w*w+5

Simplify the expression you have

A=2w²+5 where w is the width

Therefore the area is b. 2w²+5, where w is the width

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Using percentages we can conclude that by 1.02%, the population increase per year.

A relative number called a percentage is used to represent hundredths of any quantity.

Since one percent is denoted by the sign 1%, 100 percent means the full amount, while 200 percent means double the amount.

By multiplying by 100 and adding the "percentage sign"%, a ratio or fraction can be converted to a percentage.

So, we know that to calculate the population of the next year, we multiply by 1.046.

The formula that needs to be used:

% r = x₁-x₂/x₂

Assume that x1 represents the population in year 1. Due to the stated circumstance, a city's population will be x2 next year.

x₂= 1.046 x₁

Now, calculate as follows:

% r = x₁-1.046/1.046

% r = x₁-1.046x₁/1.046x₁

% r = 1.02%

Therefore, using percentages we can conclude that by 1.02%, the population increase per year.

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a. Using the graph, the estimated solution is: (-2, -0.6).

b. Solving algebraically, the exact solution is: (-2, -4/6).

The solution 0f a system of equations is that point of intersection where the lines of the two equations meet when they are plotted on a graph.

a. Given the graph of the equations, 2x - 3y = -2 and x + 1.5y = -3, the estimated solution, which is the point of the intersection of both lines can be, (-2, -0.5)

b. To get the exact solution, we would solve algebraically as shown below:

2x - 3y = -2 --> eqn. 1

x + 1.5y = -3 --> eqn. 2

Rewrite eqn. 2:

x = -3 - 1.5y --> eqn. 3

Substitute the value of x into eqn. 1:

2(-3 - 1.5y) - 3y = -2

-6 - 3y - 3y = -2

-6 - 6y = -2

-6y = -2 + 6

-6y = 4

y = 4/-6

y = -4/6

Substitute the value of y into eqn. 3:

x = -3 - 1.5(-4/6)

x = -3 + 1

x = -2.

The exact solution is (-2, -4/6).

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Answer:

10%

Step-by-step explanation:

percent error: p

44 - 40 = 4

4/40 × 100 = p

p = 0.1 × 100

p = 10%

Percent error is 10%

The Required Area of Shaded Region is 42 sq. ft.

Whhat is Area?

The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.

We are given that the length of side of square is 14 ft

so, we can determine thta the radius of the circle is 7 ft

To Calculate the Required Area we need to substract the area of circle from the area of square

Area of Square = Side*Side = 14*14 = 196 sq. ft.

Area of Circle = πr² = 22/7 * 7*7 = 154 sq. ft

Required Area of Shaded Region is 196 - 154 = 42 sq. ft.

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Answer:

22

Step-by-step explanation:

Y is midpoint of WR.

Hence,

YR = 1÷2 of WR ( Half of WR )

So,

WR = 2YR

= 2×11

= 22

Answer: 13/15

Step-by-step explanation:

26/30

Simple by 2

13/15

Answer:

26/30 = 13/15

Answer:

1: B

2: A

3: D

4: A

5: A, B

Step-by-step explanation:

1: 6/5 is 1.2 2/10 is 1/5

2: 6/14= 3/7 or 6/14

3: 3/12 is 1/4 or 3/12

4: 28/13 is 2 2/13

5: 35/6 which is also 2 3/16

#/# means divide so 35/6 is 35 divided by 6

The Yolanda's taxable income is $62,500.

What is income tax?

An income tax is a charge levied against people or organizations in relation to the income or profits they make. In most cases, income tax is calculated as the sum of the tax rate and the amount of taxable income. The type of taxpayer and the type of income are two factors that can affect the tax rate.

Given:

In 2008, Yolanda paid $3,875 in Social Security tax.

The Social Security tax rate was 6.2% to the maximum income of $94,200 that year.

Lets assume Yolanda´s income be `x`.

Now, calculating the taxable income of Yolanda

6.2% x (x) = 3875

[tex]\frac{6.2}{100} (x) = 3875\\x = 3875(\frac{100}{6.2}) \\x = 62500[/tex]

Hence, the Yolanda's taxable income is $62,500.

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Answer: 392

Step-by-step explanation:

7000 x 5.6%

The system of inequalities that describes this scenario is presented as follows:

One possible solution is given as follows:

(2,15).

Meaning that she has 2 dimes and 15 nickels.

The variables for the system of inequalities are given as follows:

The amounts cannot be negative, hence:

She has at least 15 coins, hence the first constraint is given as follows:

x + y ≥ 15.

A dime is worth $0.1, while a nickel is worth $0.05. The coins are worth a maximum of $1, hence:

0.1x + 0.05y ≤ 1.

The solution set of the inequality is composed by the shaded region on the graph given at the end of the answer.

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The favourable outcomes are there between 1 and 25 and of multiples of 3 are 3, 9, 15 and 21.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application. Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query. There is a chance that it will rain or not. Here, probability can be used.

The number of favorable outcomes that are an odd multiple of 3 is 4.

It should be noted that from the numbers between 1 and 25, the multiples of 3 will be 3, 6, 9, 12, 15, 18, and 121.

Then, from the multiples of 3, we'll choose the odd multiples which are 3, 9, 15, 21.

Therefore, the odd multiples will be 4.

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As AB is the perpendicular bisector of IK so we conclude that the right option is AJ=BJ.

A precise drawing in which a line is split in half by another line that is at a 90-degree angle to the original line is known as a perpendicular bisector. To divide into two equal portions is to bisect. When two lines intersect at a straight angle, they are perpendicular.

A line that precisely divides a line segment connecting two locations in half at a 90 degree angle is known as a perpendicular bisector. Finding the midpoint and negative reciprocal of two points, then entering these solutions into the equation for a line in slope-intercept form, will get the perpendicular bisector of the two points.

Option J can not be true as A can not be the midpoint of IK as A is not on IK.  Because J is on the IK as AB is the perpendicular bisector of IK, dividing or cutting it i,e IK into two equal segment parts. Hence, J is assumed as the midpoint of IK.

Option H i.e IJ = JK can not be true because AJ does not necessarily equal to BJ.

Option G i.e m∠IAJ  also does not true necessarily true. The reason is simple i.e AJ is arbitrary.

So, Option f i.e AJ = BJ is the correct Answer as AB is the perpendicular bisector of IK, dividing or cutting it i,e IK into two equal segment parts. So it can be assumed that that J is the midpoint as but it doesn't necessarily mean that IJ = JK, also it is true that perpendicular lines meet at 90 degree. Hence, statement F i.e AJ = BJ  is true.

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As AB is the perpendicular bisector of IK so we conclude that the right option is AJ=BJ.

What is perpendicular bisector?

A precise drawing in which a line is split in half by another line that is at a 90-degree angle to the original line is known as a perpendicular bisector. To divide into two equal portions is to bisect. When two lines intersect at a straight angle, they are perpendicular.

What is the perpendicular of two points?

A line that precisely divides a line segment connecting two locations in half at a 90 degree angle is known as a perpendicular bisector. Finding the midpoint and negative reciprocal of two points, then entering these solutions into the equation for a line in slope-intercept form, will get the perpendicular bisector of the two points.

Option J can not be true as A can not be the midpoint of IK as A is not on IK.  Because J is on the IK as AB is the perpendicular bisector of IK, dividing or cutting it i,e IK into two equal segment parts. Hence, J is assumed as the midpoint of IK.

Option H) i.e IJ = JK can not be true because AJ does not necessarily equal to BJ.

Option G)  i.e  m∠IAJ  also does not true necessarily true. The reason is simple i.e AJ is arbitrary.

So, Option f)  i.e AJ = BJ is the correct Answer as AB is the perpendicular bisector of IK, dividing or cutting it i,e IK into two equal segment parts. So it can be assumed that that J is the midpoint as but it doesn't necessarily mean that IJ = JK, also it is true that perpendicular lines meet at 90 degree. Hence, statement F i.e AJ = BJ  is true.

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The function g(x) = (x - 5)² has a translation of 5 units to the right.

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over x-axis, (-x, y).

-f(x) = Reflection over y-axis, (x, -y).

The parent function is a quadratic f(x) = x².

Now, The transformed function g(x) = (x - 5)² is a horizontal transformation of 5 units to the right.

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A z-score tell us about an individual observation in a data set is, the number of standard deviations an observation is away from the mean.

The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean.

A z-score is the value of an observation expressed in standard deviation units. The sign of the score indicates whether it is above (positive) or below (negative) the mean, and the value quantifies how many standard deviations the score is from the mean.

The purpose of z-scores is to identify and describe the exact location of each score in a distribution & to standardize an entire distribution to understand & compare scores from different tests.

Z-scores or Z-statistics represent a statistical technique of measuring the deviation of data from the mean. There are different formula used for Z-score or Z-statistics depending upon what is measured. Z-statistics is generally used with Z-test which is a hypothesis testing statistical technique.

Therefore,

A z-score tell us about an individual observation in a data set is, the number of standard deviations an observation is away from the mean.

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The points where the inequality x+ 5y <-30 intercepts is ( 30, 0 ) and (0,6).

Here given the inequality.

x + 5y ≤ 30

To find the x-intercepts.

We have to substitute 0 for y and solve x to determine the x-intercepts.

x + 5 × 0 = 30

By solving the equation.

x = 30

( 30, 0 ) is the x-intercepts.

To find the y-intercepts.

By substituting 0 for x and solving y will get the y-intercept(s).

0 + 5y = 30

5y =30

y = 30/5

y = 6

In the point form, y-intercept.

Y-intercept(s): ( 0, 6 )

(30, 0) is the x-intercept.

Y-intercepts at : ( 0, 6 ).

The points in which the inequality x+ 5y <-30 intercepts is (30, 0) and (0,6).

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The value of the 2.6 pounds of steak cost $27.06 in the neighborhood grocery.

For the given question;

44 pounds of steak cost $45.80.

Let 'x' be the amount for the 2.6 pounds of steak.

Then, ratio of the quantity becomes,

44/45.80 = 26/x

On simplification,

x = (26 x 45.80)/44

x  = $27.06

Thus, the value of the 2.6 pounds of steak cost $27.06 in the  neighborhood grocery.

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The correct question is-

At the neighborhood grocery, 44 pounds of steak cost $45.80. How much would it cost to buy 2.6 pounds of steak?

The smallest number of bags to cover the circular field is 3.0 pounds.

Area of a circle.

A circle is a shape that has a curved sides referred to as a  circumference. Its area can be determined by;

Area of a circle = [tex]\pi r^{2}[/tex]

where r is the radius of the circle

So that,

the radius of the circular field = 290/ 2

                                                 = 145 feet

The area of the circular field =  [tex]\pi r^{2}[/tex]

                                              = 22/7 x (145)(145)

The area of the circular field = 66078.57 square feet.

Given a bag has a capacity of 50 pounds, and that one pound of grass seed covers about 400 square feet.

Then,

total pounds in a bag = 50 x 400

                                    = 20000 pounds

the number of bags of grass seed needed = 66078.57 / 20000

                                                        = 3.304

The number of bags of grass seed needed = 3.30

Thus, the smallest number of bags the groundskeeper must buy to cover the circular field is 3.0 bags.

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Money market accounts allow for the creation of savings for current or upcoming requirements.

Savings for immediate or future needs can be made in money market accounts. To maintain your emergency savings in a convenient and secure location, for instance, you can think about opening a money market account. You desire to earn an APY similar to CDs without locking up your money for months.

You can get instant access to your money using money market accounts almost whenever you need it. A common feature of MMAs is the availability of check writing and debit card cash access. Also, be aware that you can often withdraw funds without being charged a fee, just like you could with a certificate of deposit (CD).

Therefore, the correct answer is option A. want to make numerous transactions and earn interest.

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Answer:

[tex]x < -7[/tex]

Step-by-step explanation:

First subtract 2 from both sides.

[tex]-5x+2-2 > 37-2[/tex]

[tex]-5x > 35[/tex]

Then divide both sides by -5.

[tex]\frac{-5x}{-5} > \frac{35}{-5}[/tex]

For x < - 7, the inequality {- 5x + 2 > 37} is satisfied.

Given is the inequality as follows -

- 5x + 2 > 37

The given inequality is -

- 5x + 2 > 37

- 5x + 2 > 37

- 5x + 2 - 2 > 37 - 2

- 5x > 35

x < - 7

Therefore, for x < - 7, the inequality {- 5x + 2 > 37} is satisfied.

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Answer:

5,940

Step-by-step explanation:

The sum of the interior angles of a polygon is (n-2)*180 where n is the number of sides. In this case n=35. (35-2)*180 = 33*180 = 5940.

Answer: To simplify the expression (3k + 4 1/5) + 8 3/5, we need to add the two mixed numbers and then combine the whole numbers and the fractions.

The first step is to convert the mixed numbers to improper fractions. We do this by multiplying the whole number part of each mixed number by the denominator of the fraction and then adding the numerator of the fraction. This gives us the following:

(3k + 4 1/5) + 8 3/5 = (3k + 21/5) + 51/5

The next step is to add the fractions by finding a common denominator and then adding the numerators. In this case, the least common multiple of 5 and 5 is 5, so we can use that as the common denominator. We then add the numerators to get the following:

(3k + 21/5) + 51/5 = (3k + 42/5)

Finally, we need to combine the whole numbers and the fraction. We do this by adding the whole number part of the expression (3k) to the whole number part of the fraction (42/5), which gives us the following:

(3k + 42/5) = (3k + 8 2/5)

Thus, the simplified form of the expression is (3k + 8 2/5).

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Area = pi r^2

r = sqrt ( area/pi) = sqrt( 676 ) = 26

Circumference = pi d  = 2 pi r  = 2 pi (26) = 163.4 mm

Answer:

57.5 milkshakes

Step-by-step explanation:

To find the number of milkshakes the ice cream shoppe sold in one hour, you can use the given information to set up the following equation: 15/4 = 71.25/X. Solving for X, we get X = 71.25 * 4/15 = 57.5. Therefore, the ice cream shoppe sold 57.5 milkshakes in one hour.

19

Step-by-step explanation:

15/4= 3.75

71.25 / 3.75=19

Answer:

16f^2

Step-by-step explanation:

multiply f and f to get f^2

f^2(-4)(-4) multiply -4 and -4 to get 16

f^2 * 16 = 16f^2

Our point A(x, y) becomes Something' when a point is rotated 270 degrees counterclockwise around the origin (y,-x). This implies that we reverse x and y and turn x negative.

A pair of numbers that provide the position of a point on such a coordinate plane using the horizontal as well as separations first from two reference axes. usually represented by a pair of x-values and y-values (x,y).

To find a point's coordinates in some kind of a co - ordinate system, you perform the opposite. Starting at the point, travel vertically up or down until your reach the x-axis. There seems to be your x-coordinate shown. Continue the previous procedure while staying on a horizontal line to obtain the y-coordinate.

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Answer: X= -2.1667 Y= 13