c. Translate the follom
4.) 51 - (x+5)
5.) 3(7-8)​

15 it was rigth  in khan academy if u got the letter one its A

The circumference of the fountain will be 43.98 square feet. Thus, the correct option is A.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let d be the diameter of the circle. The circumference of the circle will be given as,

C = πd units

The diameter of the circular fountain is 14 feet. Then the circumference is calculated as,

C = π x 14

C = 43.98 square feet

Thus, the correct option is A.

More about the circumference of a circle link is given below.

https://brainly.com/question/27177006

#SPJ2

Answer:

18 minutes

Step-by-step explanation:

Given that:

The arrival time = 3 customers / hour

The avg. service rate (s) = 12 minutes per customer

To hour, we have:

[tex]s = \dfrac{60}{12}[/tex]

s = 5 customers/ hour

Thus, the required average time for a customer needs to wait in line is:

[tex]= \dfrac{3}{5}\times (5-3) hours \\ \\ = \dfrac{3}{5}\times 2 \\ \\ = \dfrac{3}{10} \ hours[/tex]

To minutes;

[tex]= 3 \times \dfrac{60}{10} \ minutes[/tex]

= 18 minutes

Answer:

3.5

Step-by-step explanation:

Write out quadratic

[tex] {x}^{2} - x + 8.75[/tex]

We are given that x+2.5 is a factor.

So our roots look like

[tex](x + 2.5)(x - a)[/tex]

Let apply the foil method to find some missing parts.

[tex]x \times x = {x}^{2} [/tex]

[tex]x \times - a = - ax[/tex]

[tex]2.5 \times x = 2.5[/tex]

[tex]2.5 \times - a = - 2.5a[/tex]

We know that the outer terms must multiply to 8.75. We also know that the middle terms must add up to -1.

[tex] - 2.5a = 8.75[/tex]

[tex] 2.5x - ax = -1[/tex]

The only number that satisfy this equation is

[tex] - 3.5[/tex]

Since it already negative, it is

[tex]3.5[/tex]

9514 1404 393

Answer:

  (x, y) = (6, -2)

Step-by-step explanation:

My favorite fast and easy way to solve pairs of linear equations is to use a graphing calculator. The one below shows the solution to be ...

  (x, y) = (6, -2)

__

There is no simple way to use substitution or elimination on these equations, so we elect to use the "cross multiplication method." First, we write the equations in "general form", then write the coefficients in two rows, repeating the first coefficient.

  7x +8y -26 = 0

  12x +7y -58 = 0

__

  [tex]\left[\begin{array}{cccc}7&8&-26&7\\12&7&-58&12\end{array}\right][/tex]

The method gets its name from this next step: compute the difference of cross products of pairs of adjacent columns.

  d1 = (7)(7) -(12)(8) = -47

  d2 = (8)(-58) -(7)(-26) = -282

  d3 = (-26)(12) -(-58)(7) = 94

The solution to the equations is given by ...

  1/d1 = x/d2 = y/d3   ⇒  

  x = d2/d1 = -282/-47 = 6

  y = d3/d1 = 94/-47 = -2

The solution is (x, y) = (6, -2).

_____

Additional comment

If you watch videos on this solution method you will notice the 2×4 array of coefficients is formulated slightly differently, and the final equation has the 1/( ) term at the right end of the series of equalities. We judge this variation to be less confusing and easier to remember. YMMV

The work involved in using this method is 6 multiplies, 3 adds, and 2 divides. We believe that is less work than either substitution or elimination when there is no simplification possible.

Answer:

We have ,

=> -6m < -24

=> m < -24/-6

=> m < 4

Therefore ,

m € (4,-∞)

Answer:

y = 4x + 8

Step-by-step explanation:

The linear equation can be written in the form y = mx + b. "y" and "x" stay as they are. The "m" is the slope or rate of change. The b is the y-intercept.

Hope it helps!!!

(May I have brainliest if it's correct please?)

Answer:

I think that it would be b 32

Answer:

-12, -3/4, -0.4, 0.4, 3/4, 8

Step-by-step explanation:

Answer:

yes, it is correct i don't know what else to type i need to type atleast 20 characters to answer

Answer: The First Cylinder has more volume

Step-by-step explanation:

1. V = 471.24

2. V = 282.74

Answer:

yes

Step-by-step explanation:

Answer:

n' = (-5,2)  k' = (-1,1)  t' = (-5,0)

Step-by-step explanation:

Answer:

285 ft²

Step-by-step explanation:

Hello There!

The figure shown is a composite figure so in order to find the total area we are going to need to split the irregular figure into two regular figures:

A parallelogram with the following dimensions

base = 15

height = 7

and a trapezoid with the following dimensions

base 1 = 11

base 2 = 13 (found by subtracting the height of the parallelogram ( 7 ) from the total height of the composite figure ( 20 ) 20 - 7 = 13 so the length of base 2 is 13 ft)

height = 15

Now that we have identified each dimensions of the two regular figures we need to find the area of each individual figure

For the parallelogram

The area of a parallelogram can simply be found by multiplying the height and the base

So A = 15 * 7

15 * 7 = 105 so the area of the parallelogram is 105 square feet

For the Trapezoid

The area of a trapezoid can be found by using this formula

[tex]A=\frac{a+b}{2} h[/tex] where a and b = bases and h = height

So using the information that we had found about the trapezoids dimensions we plug in the values

[tex]A=\frac{11+13}{2} 15\\11+13=24\\\frac{24}{2} =12\\12*15=180[/tex]

So the area of the trapezoid is 180 square feet

Finally we add the areas of the two regular figures

180 + 105 = 285

so we can conclude that the area of the composite figure is 285 ft²

Answer:

[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]

Step-by-step explanation:

I'm assuming the question here is asking for f(x)

The first step would be to find the antiderivative of f'(x)

[tex]\int{1+3\sqrt{x}} \, dx = \int{1 + 3x^\frac{1}{2}} dx[/tex]

Apply the reverse power rule

[tex]x + 2x^\frac{3}{2} + C[/tex]

Now solve for C when x = 9

[tex]x + 2x^\frac{3}{2} + C = 68\\9 + 2(9)^\frac{3}{2} + C = 68\\9 + 2(27) + C = 68\\9 + 54 + C = 68\\63 + C = 68\\C = 5[/tex]

Now substitute into the antiderivative

[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]

Answer:

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

Answer:x=π/6,11π/6

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

Answer/Step-by-step explanation:

H = V/lw

H = 984/20.5*6

H = 984/128

H = 8

ANSWER:

H = 8

Answer:

That depends on which operations you want to do first. The order of operations affect to outcome of the equation.

In this case:

15 - (3 x 4) + 9 = 12

Answer:

It varies but this is one example

15 - (3 x 4) + 9 = 12

plz mark as brainliest

Answer:

area is the numbers around the shape and perimeter is inside

Step-by-step explanation:

Answer:

z(s) is in the rejection  region. We reject  H₀. We dont have enought evidence to support that the cream has effect over the recovery time

Step-by-step explanation:

Sample information:

Size     n = 100

mean   x = 28,5

Population information

μ₀  =  30

Standard deviation  σ   = 8

Test Hypothesis

Null Hypothesis          H₀                x =  μ₀

Alternative Hypothesis   Hₐ           x <  μ₀

We assume CI = 95 %   then α = 5 %    α = 0,05

As the alternative hypothesis suggest we should develop a one tail-test on the left ( we need to find out if the cream have any effect on the rash), effects on the rash could be measured as days of recovery

A z(c) for 0,05 from z-table is:  z(c) = - 1,64

z(s) = ( x - μ₀ ) / σ/√n

z(s) = ( 28,5 - 30 ) / 8/√100

z(s) = - 1,5 * 10 / 8

z(s) =  - 1,875

Comparing z(s)  and z(c)

|z(s)| < |z(c)|        1,875  > 1,64

z(s) is in the rejection  region. We reject  H₀. We dont have enought evidence to support that the cream has effect over the recovery time

Answer:

6,656 rabbits

Step-by-step explanation:

Population of rabbits = 26

Population doubles every 30 days

how many rabbits will be on the farm after 240 days?

t = 240 days / 30 days

= 8

Future Amount = 26(2)^t

=26(2)^8

= 26(256)

= 6,656

Therefore, the population of rabbits on the farm after 240 days is 6,656

9514 1404 393

Answer:

  245 cm²

Step-by-step explanation:

The surface area of a cone is given by ...

  SA = πr(r +s) . . . . where r is the radius, and s is the slant height

Filling in the given values, we have ...

  SA = (3.14)(3 cm)(3 cm +23 cm) = (3.14)(3)(26) cm² ≈ 245 cm²

The surface area of the cone is about 245 cm².

Answer:

The p-value for a two-tailed test of hypothesis is 0.0164.

Step-by-step explanation:

The test statistic is 2.4. Find the p-value for a two-tailed test of hypothesis.

This means that we look at the z-table, and we have to find:

[tex]P(|Z| > 2.4)[/tex]

Which is the pvalue of Z = -2.4 multiplied by 2, or 2 multiplied by 1 subtracted by the pvalue of Z = 2.4.

Looking at the z-table, z = 2.4 has a pvalue of 0.9918

1 - 0.9918 = 0.0082

2*0.0082 = 0.0164

The p-value for a two-tailed test of hypothesis is 0.0164.

Answer: B) Distributive property

Step-by-step explanation:

Definition:

- Commutative property: a+b=b+a

- Distributive property: a(b+c)=ab+ac

- Inverse operation property:

- Multiplication property: If a=b, a×c=b×c

Solve:

GIven

3(4c+5)=(3·4c)+(3·5)

This is distributive property because it is distributing 3 to each of the numbers in the parenthesis.

Hope this helps!! :)

Please let me know if you have any quesitons

Answer:

0.75 hours more

Answer:

27/50

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