Simplify the expression
10 +2 (9−4) x 7

A function assigns values of one set to another. The function that will represent g(x) is g(x)=(x-4)²+9.

A function assigns the value of each element of one set to the other specific element of another set.

As it is given to us that we need to move the graph of the function 9 units up and 4 units towards the right. Therefore, the function that will represent the new location of the graph can be written as,

[tex]g(x) = (x-4)^2+9[/tex]

Hence, the function that will represent g(x) is g(x)=(x-4)²+9.

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Answer:

Option C. g(x) = (x - 4)² + 9

Step-by-step explanation:

The given function is f(x) = x². Following transformations have been done to get the new function as followed

for 9 units up

The parent function f(x) will become as g(x) = x² + 9

then 4 units shifted to the right

Then the new function becomes g(x) = (x - 4)² + 9

Answer:

3*5*2=30

He can make 30 outfits.

Step-by-step explanation:

3*5*2=30

Check the picture below.

Answer:

B

Step-by-step explanation:

The size of the angle BAC is 44° whith is B.

42

Step-by-step explanation:

7h+ 3 = 45

3 + 7h = 45

h=6

7×6 = 42

y = 5w +20

its 5$ for every walk.

No matter what, it starts at 20 so that is our Y intercept.

Therefore, we make the eqaution using what we know.

y = 5w + 20

Answer:

Will

Step-by-step explanation:

Katie runs 8 feet per second

Stephanie runs 10.88 feet per second

Liz runs 12.9 feet per second

Will runs 13.45 feet per second

Answer: It would be 12 to the power of 3

Step-by-step explanation: You can see there are three 12 so you add a tiny little three on the top of 12 so it could be 12 to the power of 3.

Answer:

12x^3

Step-by-step explanation:

The power (exponent) is however many times the base (12) is multiplied by itself. Do NOT confuse this by 12 x 3.

Answer:

Area of garden= 238 sq feet.

Answer:

Below in bold.

Step-by-step explanation:

When x = -3, y = -(-3) - 2 = 3-2 = 1.

When x = 0,  y = -0 - 2 = -2.

When x = 4,  y = -4 - 2 = -6.

To draw the graph plot the 3 points and you should be able to draw a straight line through them.

Answer:

The first y value with -3, is 1.

The second y value with 0, is -2.

The third y value with 4, is -6.

A graph is shown below.

Step-by-step explanation:

It states that the rule is y = -x-2. So all we do is plug in the values shown in the table.

y = -(-3)-2

y = 1

The first point of intersection is at (-3,1)

y = -(0)-2

y = -2

The second point of intersection is at (0,-2)

y = -(4)-2

y = -6

The third point of intersection is at (4,-6)

So now, we plot the points, and draw a line connecting them all.

Step-by-step explanation:

Sum interior measure of triangle = 180°

Sum interior measure = (n-2)180

Where n is the no. of sides

Sum interior measure = (n-2)180

=(3-2)180

=180°

61+42+x =180

103+x =180

x = 180-103

x = 77°

Good Luck

Transformation involves changing the position of a shape through translation, dilation, rotation and reflection.Marcus's claim is correct.

A process by which one figure, expression, or function is converted into another one of similar value.

The triangles are given as: ΔTSR and ΔUSV

By comparison, we can see that point S is on both triangles, and this point on both triangles corresponds.

So, to map ΔTSR to ΔUSV, then ΔTSR must be rotated about point S to ΔUSV or rotate ΔUSV about point S to ΔTSR.

Hence, Marcus is correct, and Sam is not.

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Answer:

A. Marcus is correct.

Credits to the guy above! :))

Answer:

20f=c

Step-by-step explanation:

35cm!

4 + 4 = 8

7 + 7 = 14

13 + 8 =  21 (13 + (8 - 1 ) = 20 + 1 = 21)

21 + 14 = 35 (4 + 1 = 5, 20 + 10 = 30, 30 + 5 = 35)

Answer:

Just as the distance between the origin and any point (x,y) on a circle must be the circle's radius, the sum of the squared values for sinθ and cosθ must be 1 for any angle θ .

Step-by-step explanation:

hope this helps:)

By taking the average number of eggs for both barns, we will see that the correct option is A.

For a set of N elements {x₁, x₂, ..., xₙ} the mean is given by:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

For barn 1, the set is {2, 5, 5, 6}

So the mean is:

M1 = (2 + 5 + 5 + 6)/4 = 4.5

For the barn 2, the set is {3, 6, 8, 9}

So the mean is:

M2 = (3 + 6 + 8 + 9)/4 = 6.5

Now, taking the quantity 100%(M2 - M1)/M1 we get:

100%*(6.5 - 4.5)/4.5 = 44%

So the average in barn 2 is around 50% larger than the average in barn 1. Then the correct option is A.

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Answer:

25π-24

Step-by-step explanation:

from the figure,

radius of the circle(r)=diameter of the circle(d)/2

=10/2

=5

Area of the circle(A)=πr^2

=π5^2

=25π

Again,

base of the right angle triangle(b)=6

perpendicular of right angle triangle(p)=8

we also know,

the area of right angle triangle = 1/2*base*height

=1/2*6*8

=1/2*48

=48/2

=24

Now, Area of the shaded region=Area of circle - Area of right angle triangle (given in the figure)

Area of shaded region= 25π -24

The sine of the other acute angle is 15/17 if the cosine of one acute angle of a right triangle is 8/17.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a cosine of one acute angle of a right triangle is 8/17.

Let's suppose the angle is α

[tex]\rm Cos\alpha = \frac{8}{17}[/tex]

As we know the cos is the ratio of adjacent to hypotenuse and Sin is the ratio of the opposite to hypotenuse.

Let's suppose the length of the hypotenuse is x units

From the Pythagoras theorem:

[tex]\rm 17^2=x^2+8^2[/tex]

x = 15 units

Now the Sin ratio:

[tex]\rm Sin\alpha = \frac{15}{17}[/tex]

Thus, the sine of the other acute angle is 15/17 if the cosine of one acute angle of a right triangle is 8/17.

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Answer:

24.8 ft

Step-by-step explanation:

Formula to find the volume of a sphere is :

Volume = [tex]\frac{4}{3}[/tex] π r³

Here,

r ⇒ radius

Given that,

Volume ⇒ 8000 ft³

Let us find the radius of the tank now.

Volume = [tex]\frac{4}{3}[/tex] π r³

8000 =  [tex]\frac{4}{3}[/tex] π r³

8000 =  [tex]\frac{4}{3}[/tex] × 3.14 × r³

8000 × 3 = 4 × 3.14 × r³

24000 = 12.56r³

Divide both sides by 12.56.

1910.822 = r³

∛1910.822 = r

12.40 ft = radius

And now let us find the diameter of the sphere.

d = 2r

d = 2 × 12.40

d = 24.8 ft

The diameter of the tank is 24.80 ft

Step-by-step explanation:

Given-

i.e. The volume of spherical tank = 8,000 ft^3

Now, the formula for finding volume of any spherical figure is-

Therefore, substituting value, we get

[tex]⇢8000 = \frac{4}{3} \pi {r}^{3} [/tex]

[tex]⇢8000 \times \frac{3}{4 } = \frac{22}{7} \pi {r}^{3} [/tex]

Transposing 4/3 to left hand side ,it will become 3/4 . And Here, 8000 will get cancelled by 4 leaving 2000

[tex]⇢2000 \times 3 \times \frac{7}{22} = {r}^{3} [/tex]

Similarly , On performing further calculations, we get. ..

[tex]⇢ \frac{21000}{11} = {r}^{3} [/tex]

[tex]⇢1910.822 = {r}^{3} [/tex]

[tex]⇢ \sqrt[3]{1910.822} = r[/tex]

[tex]⇢ \underline{12.40 = r}[/tex]

Thus, the radius of the tank is 12.40 ft

Now,

The diameter of the tank = 2 × radius

[tex] \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 12.40[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: = 24.80[/tex]

•°• The diameter of the tank comes out 24.80 ft

Answer:

≈22

75 × 2 = 150 important

150 - 165 = 15(9) the 9 comes from dropping the ones place in 1,659

150 - 159 = 9

_______________________________________________________

With that information, the problem is solved! We got our exact estimate, and a remainder of 9 to make up for the missing 9 in 1,650! 22 × 75 = 1,650 so add 9, the remainder.

_______________________________________________________

We learned how to do long division using remainders.

Still have questions? Ask me in the comments box, and I may be able to assist.

Answer:

A. 30°, 70° and 80°

B. 10cm

Step-by-step explanation:

A. the two triangle have same angles so the angles of triangle 2 are 30°, 70° and 80°

B. the perimeter of triangle, is twice as long as the perimeter of triangle 2 so the perimeter of triangle 2 is 20÷2 = 10 cm

The correct statements regarding the function are:

2. The period of the function is [tex]2\pi[/tex].

4. The amplitude of the function is 2.5.

5. The midline of the function is y = 1.5.

The amplitude of a function is half the difference between the largest and the smallest value.

In this problem, these values are of 4 and -1, hence the amplitude is:

A = (4 - (-1))/2 = 2.5.

Thus the midline is:

y = -1 + 2.5 = 4 - 1.5 = 2.5.

The period of a function is the distance between it's repetitions. Hence, for this graph, the period is of [tex]2\pi[/tex].

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Answer:

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

32/8= 4. She rides 4 miles an hour. So 4 x 3= 12

Answer: 12miles

Step-by-step explanation:In 1 mile she will ride 32/8 =4miles per hour

In 3hours She will ride 4×3miles

Answer:

9

Step-by-step explanation:

In order to find what needs to be added, you can subtract the number your already have. In this case, subtract twelve from twenty-one.

21 - 12 = 9

To check, we can add nine to 12 and see if it works.

12 + 9 = 21 is correct.

So 9 is our answer.

Brainliest please?  

The number that makes the sum of 21 when added with 12 is 9. Found solving the linear equation x + 12 = 21. Hence, option B is the right choice.

Linear equations are relations between two expressions having their degree less than or equal to 1.

In the question, we are given that the sum of a number and 12 is 21.

We are asked to find the number.

We assume the number to be x.

∴ The sum of a number and 12 is expressed using the expression: x + 12

This expression is equal to 21, which can be represented by the linear equation: x + 12 = 21.

To find x, we solve this linear equation using the given steps:

Equation: x + 12 = 21

Subtract 12 from both sides of the equation: x + 12 - 12 = 21 - 12

∴ x = 9.

∴ The number that makes the sum of 21 when added with 12 is 9. Found solving the linear equation x + 12 = 21. Hence, option B is the right choice.

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Answer:

Finding the probability of a single die roll requires little effort.

First, remember that by definition, a prime is an integer with precisely two factors: 1 and the number itself (which is why 1 does not qualify: it has only one factor). The numbers from 6 on down that fit the bill are {2,3,5}. Since there are six sides, your answer is:

P(prime) = 3/6 = 1/2 = 50%

An expression is defined as a set of numbers, variables, and mathematical operations. The factored form of the expression 16x²+8x+32 is 8(2x²+x+4).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The completely factored form of the expression can be written as,

[tex]16x^2+8x+32\\\\=8(2x^2+x+4)[/tex]

Thus, the factored form of the expression 16x²+8x+32 is 8(2x²+x+4).

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Considering the situation described, we have that:

At the null hypotheses, it is tested if the proportion at the complex is the same as the rest of the population, that is, of 14%, hence:

[tex]H_0: p = 0.14[/tex].

At the alternative hypotheses, it is tested if it is greater, hence:

[tex]H_1: p > 0.14[/tex].

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