Change the equation of the parent square root function to represent the equation of the graphed function. Enter the correct answer in the box.

Answer:

The answer to your question is P=56

Step-by-step explanation:

P=7a=7·8=56

I hope this helps and have a good day!

Answer:

25k x 3

Step-by-step explanation:

Answer:

52 units

Step-by-step explanation:

Perimeter = sum of it sides =

15 + 8 + 6 + 17 + 6

= 52

Considering the given function, the table is completed as follows:

x|y

-12|15

-6| 11

3|5

15|-3

The function is defined by:

[tex]y = -\frac{2}{3}x + 7[/tex]

Hence, when x = -12:

[tex]y = -\frac{2}{3}(-12) + 7 = 15[/tex]

When x = -6:

[tex]y = -\frac{2}{3}(-6) + 7 = 11[/tex]

When x = 3:

[tex]y = -\frac{2}{3}(3) + 7 = 5[/tex]

When x = 15:

[tex]y = -\frac{2}{3}(15) + 7 = -3[/tex]

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Answer:

Your simply dividing by 11

Step-by-step explanation:

0.008...

0.0007...

0.00006...

All you have to do is turn these numbers into fractions!

Answer:

1/121, 1/1331, 14641

Step-by-step explanation:

121, 11 ,1 , 1/11

We need to find the next three terms in the pattern

We are taking each term and dividing by 11

121/11 =11

11/11 =1

1/11 = 1/11

1/11 divided by 11

1/(11*11) = 1/121

1/121 * 1/11 = 1/1331

1/1331 * 1/11 = 14641

By applying the transformation rules for horizontal and vertical translation, we find that the resulting function is g(x) = cos (x - 7) + 4.

Transformation rules are rules that makes changes on charateristics and behavior of a function to create a new one. Rigid transformations like horizontal and vertical translations are examples of transformation rules. In this question we must apply the following transformation rules to the parent cosine function f(x) = cos x:

Now we proceed to derive the resulting function by applying the rules defined above:

Horizontal translation

f'(x) = cos (x - 7)      (3)

Vertical translation

g(x) = cos (x - 7) + 4     (4)

By applying the transformation rules for horizontal and vertical translation, we find that the resulting function is g(x) = cos (x - 7) + 4.

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Answer:

D.10

Step-by-step explanation:

Mode is the number that is repeated the most as we can see the number 10 is there 3 times in the data. 13 isn't there, 14 is only there once and 16 is also not there

the answer of this question is 38 and i hope it s  correct

The minimum volume of molten metal which should be added to mold It into a cube exists [tex]$24 cm^3[/tex].

Volume exists as a scalar quantity representing the amount of three-dimensional space encircled by a closed surface.

The minimum volume of a shape with measured dimensions exists provided by the lowest values of the dimensions when accounting for measurement error. Maximum Volume: The maximum volume of a shape with measured dimensions exists provided by the highest values of the measurements when accounting for measurement error.

The volume of the cube [tex]= 8*6*4[/tex]

[tex]= 192 cm^3[/tex]

To create the X as the sides of the cube we should add material.

The nearest cube number to 192 exists at 216

The amount of material to be added exists

= 216 -192

[tex]= 24 cm^3[/tex]

The minimum volume of molten metal which should be added to mold It into a cube exists [tex]$24 cm^3[/tex].

Therefore, the correct answer is an option (4) 24.

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Answer:

OA

Step-by-step explanation:

because it only got a y parameter for each x

Answer:

Option A. (2,4),(3,9),(4,16),(5,25)

The probability of selecting five students from the class, where there will be two freshmen girls and three freshmen boys is 0.23 approximately.

Probability is the game of chance. Probability of an event is the ratio of the required outcome to the total possible outcome.

Given that In a math class of 30 students, 12 out of 15 girls are freshmen and 11 out of 15 boys are freshmen. In Probability, the word "and" means multiplication

The probability that in a randomly selected group of five students from the class, there will be two freshmen girls and three freshmen boys can be expressed as follow

12/15 x 11/14 x 11/15 x 10/14 x 9/13

132/210 x 990/2730

130680/573300

0.2279

Therefore, the probability that in a randomly selected group of five students from the class, there will be two freshmen girls and three freshmen boys is 0.23 approximately.

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Hello,

Pythagorean theorem :

x² = 8² + 8²

x² = 64 + 64

x² = 128

x = √128

x = √(64 × 2)

x = √(8² × 2)

x = 8√2

→ Answer D

Simplification of the expression gives 2a + c = -24

4+4-3-4-2-5-1-8-9-0=a +c + a

First, let's add

[tex]8 -3 -4-2-5-1-8-9-0 = a+ c + a[/tex]

Then, let's substract

[tex]-24 = a + c + a[/tex]

[tex]-24 = 2a + c[/tex]

We then have,

[tex]2a + c = -24[/tex]

Thus, simplification of the expression gives 2a + c = -24

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The next number in the series is 30.

It should be noted that series simply means the operation of adding values together in a data set.

In this case, it can be seen that the numbers are interchangeable between 30 and 31.

In this case, since 31 was the last number, the next number will be 30.

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Answer: 4

Step-by-step explanation:

The points are (-1, 1) and (5, 5).

So, the difference in the y coordinates is [tex]5-1=4[/tex].

The net change between the x-coordinates and y-coordinates on the graph is 6 units and 4 units respectively.

The coordinates from the given graph are (5, 5) and (-1, 1).

Given two points, (a, f(a)) and (b, f(b)) on the graph of f(x), the net change is the difference between the two f(x) values. Thus, net change is given by f(b)−f(a).

Here, the change in x-coordinates is 5-(-1) = 6

The change in y-coordinates is 5-1 = 4

Therefore, the net change between the x-coordinates and y-coordinates on the graph is 6 units and 4 units respectively.

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Answer:

option 2 {(12, 3), (11,2), ...}

Step-by-step explanation:

For functions, multiple x-values can have the same y-value but each y-value must have a unique x-value. The second option matches this criterion.

The explanation about the graph is illustrated below.

The graph shows 0 to 30 on the x-axis at increments of 5 and 0 to 12 on the y-axis at increments of 1. The label on the x-axis is Temperature in degrees C, and the label on the y axis is the Number of Sweaters Sold.

If you will draw lines through, (12.5,6) and (15,4), it will best represent a line of best fit, because most of the points on the same and opposite sides of line are equidistant from each other.

Equation of line passing through (12.5,6) and (15,4) A line of best is the line that passes through all or some points or only through a single point, which describes the relationship between x and y values of data set

4x + 5y = 80

5y = -4x + 80.

y = -4x/5 + 16

Slope = -4/5 and y intercept is 16.

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In a convex pentagon, the measure of angle D is 132°.

If a planar polygon has all the line segments connecting any given pair of its points, it is said to be convex pentagon.

Properties of a Convex Polygon are-

Calculation for the measure of angle D.

The sum of the interior angles  = 540°

Let A, B , C  =   D - 40

And let  E  = D

So we have

A + B + C + D + E  = 540

(D - 40) + (D - 40)  + (D - 40)  + D + D  =  540

5D  - 120  = 540

5D = 660

D = 660 / 5  

D =  132°

Therefore, the measure of angle D is 132°.

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The service area of the cylinder is 42[tex]\pi[/tex] square fts.

Two parallel bases joined by a curving surface make up the three-dimensional solid known as a cylinder.

Typically, the bases are shaped like circles. The height "h" of the cylinder stands for the perpendicular distance between the bases, while "r" stands for the cylinder's radius.

The uses of cylinder are-

Total surface area of the cylinder formula:

It is the sum of the base surface area and the lateral surface area;

Total area = base area + lateral area , or

Total area = 2 π r² + (2 π r) h , or

Total area = 2 π r (r + h)

Calculation for the total area of the cylinder;

Base diameter is 6 ft

Radius is 6/2 = 3 ft

Height is 4 ft

Total area = 2[tex]\pi[/tex]3(3 + 4)

                 = 6[tex]\pi[/tex]×7

                 = 42[tex]\pi[/tex]

Therefore, the total surface area of the cylinder is 42[tex]\pi[/tex] square fts.

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Using a system of equations, it is found that she earns $5.5 for each hat and $7 for each scarf sold.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

One week she earns $114.00 by selling eight hats and 10 scarves, hence:

8x + 10y = 114.

The following week she sold 12 hats and six scarves and earned $108.00, hence:

12x + 6y = 108

Simplifying by 6:

2x + y = 18

y = 18 - 2x.

Replacing in the first equation:

8x + 10y = 114.

8x + 10(18 - 2x) = 114

12x = 66

x = 66/12

x = 5.5

y = 18 - 2x = 18 - 2 x 5.5 = 7.

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You can approximate e by substituting large values for (1 + 1/n)^n into the expression.

It should be noted that an expression can simply be used to illustrate the information given in a data.

In this case, you can approximate e by substituting large values for (1 + 1/n)^n into the expression.

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Answer:

b

Step-by-step explanation:

Bat Graphs represent discrete data. They are spaced and don't touch to represent a discrete value.

Histograms represent continuous data. They are close and connected to represent variation in continuous data.

Answer:

A and B

Step-by-step explanation:

A : (a²+b²=c²) 11²+13²=290 (c²); c=√290

B : 7²+24²=625; c=√625=25

C : 2²+5²=29≠7²

According to the Pythagorean triple, the side lengths that will form a right triangle are:

A. 11, 13, √290

B. 7, 24, 25

The Pythagorean triple are three set of sides that can form a right triangle if the square of the longest side equals the sum of the squares of the other two smaller sides.

11² + 13² = (√290)²

290 = 290 [correct]

7² + 24² = 25²

625 = 625 [correct]

2² + 5² = 7²

29 ≠ 49 [correct]

Therefore, the side lengths that will form a right triangle are:

A. 11, 13, √290

B. 7, 24, 25

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Answer:

218,048. skeins

Step-by-step explanation:

This question is built to throw you off by not telling you about the information in order.

First, the polypay sheep produces 9.9 pounds of wool.

Then, each pound produces 10.95 miles of yarn.

And finally, the yarn is packaged into skeins that are 175 yards each.

Each polypay sheep is 9.9 pounds. And we will use that total weight to find the amount of yarn in miles.
Then we will split up that yarn into equal pieces to make skeins.

BUT, the pieces are measured in yards, so we will have to convert the miles of yarn into an equivalent amount in yards as well. (Unmatched units of measurements don't mix well).

So, our equation will look like this:

(#of sheep) [tex]\times[/tex] (9.9 pounds per sheep) [tex]\times[/tex] (10.95 miles per yarn) [tex]\times[/tex] (1760 yards per mile) [tex]\div[/tex] (175 skeins per yard)

The number of sheep Bill has is 200.

So, we plug that into the number model we made.

[tex]200\times9.9\times10.95\times1760\div175[/tex]

We end up with:

218,048.914

The decimal indicates that there is a remaining amount of yarn that couldn't be properly packaged into a skein.

Since, that remainder is not a complete skein, we must ignore its existence.

So the number of skeins expected is:

218,048

The number of skeins of yarn is Bill's flock expected to produce in one year is 1819.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a polypay sheep produces an average 9.9 pounds of wool annually.

Farmer Bill has a flock of 200 polypay sheeps

So, total weight of wool is 9.9×200

= 1980 pounds

One pound of wool makes 10.95 miles of yarn.

So, the number of yarns = 1980/10.95

= 180.82 miles of yarn

We know that, 1 mile =1760 yards

Then, 180.82 miles

= 318243.2 yards

This wool is cleaned, spun into yarn and then packaged into skeins of 175 yards of yarn each.

Number of skeins = 318243.2/175

= 1819

Therefore, the number of skeins of yarn Bill's flock expected to produce in one year is 1819.

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Answer:

(0,0)

Step-by-step explanation:

The y-intercept (where the graph of the equation crosses the y-axis) occurs where x = 0. If you substitute 0 for x in the equation, y = 0. So the y-intercept is at (0,0).

The values of 'j' are -11,5.

What is a Quadratic Equation?

Here, the given equation is (2x+7)(x-5) = - 43 + jx

On simplifying the equation we get,

[tex]2x^{2} -10x+7x-35=-43+jx\\2x^{2} -3x-35+43-jx=0\\2x^{2} -3x-jx+8=0\\2x^{2} -(3+j)x+8=0.....(1)\\[/tex]

By comparing the given equation with the standard form of the quadratic equation we get,

a = 2

b = - (3 + j)

c = 8

Therefore,

[tex](-(3+j))^{2} -4\times2\times8=0\\(3+j)^{2} -64=0\\(3+j)^{2} =64\\[/tex]

Take the square root of both sides,

[tex]\sqrt{(3+j)^{2} }=\sqrt{64} \\[/tex]

3 + j = ±8

Therefore,

3 + j = 8

j = 8 - 3        

j = 5

or

3 + j = -8

j = -8 - 3

j = -11

Hence, the possible values of 'j' are -11,5.

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The answer is 8300.

Divide 91300 by 11 you will get the answer.

Problem-solving is the act of defining trouble; figuring out the cause of the problem; figuring out, prioritizing, and choosing alternatives for an answer; and enforcing a solution.

Problem-fixing starts with identifying the difficulty. For instance, a teacher might want to discern the way to improve student performance on a writing talent test. To do that, the trainer will assess the writing checks looking for areas of development.

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The angle A of the triangle ABC has a measure of approximately 34°. (Right choice: D)

To determine the missing angle of a triangle by the law of the cosine, we must know the lengths of the three sides of the figure. Please notice that angle A is opposite to the side a in accordance with the law of the cosine. Then:

[tex]\cos \theta = \frac{(10\,cm)^{2}-(17\,cm)^{2}-(11\,cm)^{2}}{-2\cdot (17\,cm)\cdot (11\,cm)}[/tex]

θ ≈ 34.016°

The angle A of the triangle ABC has a measure of approximately 34°. (Right choice: D)

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Answer:

B. 4^15*5^10

Step-by-step explanation:

First you can take the out-out-outside exponent and "pass it out" to both the numerator and the denominator. When you have a power raised to a power, you MULTIPLY the exponents. See image.

Next you can "fix" a negative exponent by pushing it across the fraction bar. As it passes across the fraction bar, the exponent changes sign. So the -10 exponent on the bottom, becomes a positive 10 exponent on top. See image.