A. 78
B. 87.5
C. 100

please answer will give brainliest!!!!!!!

Answer:

(x - 3)² + (y + 4)² = 49

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + *y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (3, - 4) and r = 7 , then

(x - 3)² + (y - (- 4) )² = 7² , that is

(x - 3)² + (y + 4)² = 49 ← equation of circle

Answer:

y = 15.75x + 25 is the linear equation

$88 would be the total cost

Step-by-step explanation:

First, create the equation using y = mx + b, where x is the number of hours:

y = 15.75x + 25 will be the equation, since the charge is $15.75 per hour and the flat fee is $25

There are 4 hours in between 8:30 AM and 12:30 PM, so to find the cost, plug in 4 as x and simplify:

y = 15.75x + 25

Plug in 4 as x:

y = 15.75(4) + 25

y = 63 + 25

y = 88

So, the total cost would be $88

Answer:

1غىخةضهاثضخ

Step-by-step explanation:

ى7غ-3ص0ض49ة=

Answer:

the measure of what?????

Answer:

P≈28068.32

Step-by-step explanation:

Grace needs to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years is 27705.78944.

We have given that,

Grace is going to invest in an account paying an interest rate of 3.8% compounded continuously.

We have to determine how much would Grace need to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years.

[tex]A=Pe^{rt}[/tex]

A=46000, t=13  ,r=0.038

[tex]Pe^{0.039\left(13\right)}=46000[/tex]

[tex]Pe^{0.039\left(13\right)}=46000[/tex]

[tex]\frac{Pe^{0.039\cdot \:13}}{e^{0.507}}=\frac{46000}{e^{0.507}}[/tex]

[tex]P=\frac{46000}{e^{0.507}}[/tex]

[tex]\quad P=27705.78944[/tex]

Therefore, Grace needs to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years is 27705.78944.

To learn more about the account balance visit:

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Answer:

C = dπ

37.68 = d(3.14)

d = 12 inches

2r = d

2r = 12

radius = 6 inches

Answer:

222 ft

Step-by-step explanation:

add 15 ft to each side of the length and width

L = 28 + 30 = 58

W = 23 + 30 = 53

perimeter = 2(L + W) = 2(58 + 53) = 222 ft

Answer:

222 ft

Step-by-step explanation:

The fence must be 15x2 (30) feet wider and 15x2 (30) feet longer, since the fence must be 15ft away at all points. Take 23+30 to find width, and take 28+30 to find length. You get that the fence is 53 ft. wide and 58 ft long. Feet of fencing is the same as asking for perimeter, so 53+53+58+58=222 feet of fencing

Answer:

B. 12 in.

Step-by-step explanation:

Diameter = 5 in.

Diagonal = 13 in.

Apply Pythagorean theorem to find the height of the cylinder.

Thus:

13² - 5² = height²

144 = height²

√144 = height

12 in. = height

Answer:

B. 12 in.

Step-by-step explanation:

Answer:

B: y= 3(1/3)^x

Step-by-step explanation:

I graphed it on Desmos

Answer:

Step-by-step explanation:

f(x) = 65536(b)^x

Find b by substituting a point. (1, 16384)

16384 = 65536(b)^1

b=0.25

Thus,

f(x) = 65536(1/4)^x

Plug in 6,

f(8) = 1

Answer:

x = 4cos(t) – 1 and y = 4sin(t) + 3

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which:

The centre is is [tex](x_0,y_0)[/tex] and r is the radius. The parametric equations are given by:

[tex]x(t) = r\cos{(t)} + x_0[/tex]

[tex]y(t) = r\sin{(t)} + y_0[/tex]

In this question:

[tex](x + 1)^2 + (y - 3)^2 = 4^2[/tex]

This means that the centre is [tex](-1,3)[/tex] and the radius is 4. So, the answer is:

x = 4cos(t) – 1 and y = 4sin(t) + 3

Answer:

Amount = Initial value × (1 + rate of interest)^years and 374

Step-by-step explanation:

The formula to determine the student population and the estimated student population is given below:

As we know that

Amount = Initial value × (1 + rate of interest)^years

= 284 × (1 + 0.04)^7

= 284 × 1.04^7

= 373.72

= 374

Answer:

the splash down occurs when h(t) = 0

0 = -4,9t2 + 139t + 185

using the quadratic formula,

t = -1.27 or 29.64 seconds

since time can't be negative

t = 29.64 secs

at the peak, h(t) is maximum

applying calculus,

[d{h(t)}}/dt = -9.8t + 139

at h(t) maximum, [d{h(t)}}/dt is 0

0 = -9.8t + 139

9.8t = 139

t = 14.18 secs

substituting,

h(t) = – 4.9t2 + 139t + 185

h(t) = -4.9(14.18^2) + 139(14.18) + 185

= 1170.77 m

Answer:

Step-by-step explanation:

y = ax² + bx + c

D = b² - 4ac

[tex]x_{12}[/tex] = ( - b ± √D ) ÷ 2a

[tex]y_{max}[/tex] = - [tex]\frac{b}{2a}[/tex]

~~~~~~~~~~~~~

h(t) = - 4.9t² + 139t + 185

- 4.9t² + 139t + 185 = 0

D = 139² + 4(- 4.9)(185) = 22947

[tex]t_{12}[/tex] = ( - 139 ± √22947) ÷ 2(- 4.9)

[tex]t_{1}[/tex] ≈ 29.641 ≈ 30 seconds

[tex]t_{2}[/tex] < 0

[tex]h_{max}[/tex] = - 4.9( [tex]-\frac{139}{2(-4.9)}[/tex] )² + 139( [tex]-\frac{139}{2(-4.9)}[/tex] ) + 185 ≈ 1170.7653 ≈ 1171 meters

Answer:

50°

Step-by-step explanation:

Given that a triangle measures 180°.

∠U =40°

∠W=90°

Sum:130°

180°-130°=50°

Answer:

Hope this helps! If I can have brainliest I'm trying to rank up.

Step-by-step explanation:

3.4 is 100 times more than 0.034.

0.034 is 1/100 of 3.4.

We look at the statements about the values of 0.034 and 3.40 are true.

0.034 times 100 = 3.4 , When we multiply by 100 we move the decimal point two units to the right .

So, 3.4 is 100 times more than 0.034.

3.4 times 1/100 = 0.034 , When we divide by 100 we move the decimal point two units to the left .

So, 0.034 is 1/100 of 3.4

Answer:

32.5 feet

Step-by-step explanation:

This situation forms a right triangle. We are given the distance from the base of the tower (long leg of the triangle) and are asked to find the height (short leg of the triangle).

With this information, we can use the tan ratio, opposite over adjacent, to find the height of the tower.

tan 18 = [tex]\frac{x}{100}[/tex]

Multiply each side by 100:

(100) tan 18 = x

Simplify and round to the nearest tenth:

32.49 = x

32.5 = x

So, the height of the tower is approximately 32.5 feet

Answer:

Step-by-step explanation:

L-6=W+3

L=W+9

LW-(L-6)(W+3)=27, using L from above makes this

W(W+9)-(W+9-6)(W+3)=27

W^2+9W-(W+3)(W+3)=27

W^2+9W-W^2-6W-9=27

3W-9=27

3W=36

W=12, since L=W+9

L=12+9=21

A=LW

A=21(12)

A=252 cm^2

The area of the rectangle is 252 cm^2.

Since

If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm.

So it can be like

L-6=W+3

L=W+9

Now

LW-(L-6)(W+3)=27

So,

W(W+9)-(W+9-6)(W+3)=27

W^2+9W-(W+3)(W+3)=27

W^2+9W-W^2-6W-9=27

3W-9=27

3W=36

Also,

W=12, since L=W+9

L=12+9=21

So,

A=LW

A=21(12)

A=252 cm^2

learn more about an area here: https://brainly.com/question/24545771

Answer:

f(x)=9sin(6πx)+3

Answer:

Step-by-step explanation:

h and c are the numbers of hamburgers and cheeseburgers, respectively.

“a combined total of 486 hamburgers and cheeseburgers”

h + c = 486

“64 fewer cheeseburgers sold than hamburgers”

c = h - 64

Substitution:

h + (h-64) = 486

2h = 550

h = 275

275 hamburgers were sold

Answer:

A, C, and D are the exponential functions that have been simplified correctly

Answer:

3 busses and 5 vans

Step-by-step explanation:

3 x 51 = 153

193 - 153 = 40

40 / 8 = 5

Answer:

35/(7/8)=

35*8/7=40 store B

40-35=$5 Saved

Step-by-step explanation:

Hope this helps :D

Answer:

8 miles

Step-by-step explanation:

24 miles/6 hours = 4 miles per hour

4 miles per hour x 2 hours = 8 miles

Answer:

8 miles

Step-by-step explanation:

24/6 is your ratio. He runs 4 miles an hour, but we need 2 hours. 4x2=8 miles in 2 hours.

Step-by-step explanation:

6 customers per hour [tex]=1[tex] customer per 10 minutes

[tex]X \sim \operatorname{Exp}(\beta=10) \quad[/tex] (given mean)

Pdf is given by: [tex]f(x)=\frac{1}{\beta} e^{-x / \beta}, 0<x[/tex]

Pdf: [tex]f(x)=\frac{1}{10} e^{-x / 10}, \quad 0<x,[tex] and zero otherwise.

Cdf: [tex]P(X \leq x)=1-e^{-x / \beta}[/tex]

[tex]P(X \leq x)=1-e^{(-x / 10)} \quad[/tex] for [tex]x>0 \Longrightarrow P(X>x)=e^{-x / 10}[/tex]

a)[tex] \begin{array}{c}

P(X<12)=1-\exp (-12 / \beta)=1-e^{-1.2}=1-0.301194=0.698806 \approx 0.699 \\

P(X<12)=0.699 \end{array}[/tex]

[tex]\begin{aligned}

&\begin{array}{c}

P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\

P(X>20)=0.1353

\end{array}\\[/tex]

&\text { c) }\\

&P(8<X<15)\\

&\begin{array}{l}

=P(X<15)-P(X<8) \\

=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\

=\exp (-8 / \beta)-\exp (-15 / \beta) \\

=e^{-0.8}-e^{-1.5} \\

=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\

\quad P(8<X<15)=0.2262

\end{array}

\end{aligned}

\begin{aligned}

&\text { d) }\\

&\begin{array}{l}

P(14<X<22) \\

=P(X<22)-P(X<14) \\

=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\

=\exp (-14 / \beta)-\exp (-22 / \beta) \\

=e^{-1.4}-e^{-2.2} \\

=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\

P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\

P(X<14 \cup X>22)=0.8642

\end{array}

\end{aligned}

Answer:

Step-by-step explanation:

Answer:

angle bisectors and opposite side perpendiculars

Step-by-step explanation:

Answer:

I think the answer is 672 please be right

Answer:

Volume of cuboid = 2000 m³

Step-by-step explanation:

Given the following data;

Base area = 500 m²

Height = 4m

To find the volume of a cuboid;

The volume of a cuboid is given by the formula;

Volume of cuboid = length * breadth * height

But remember, base area = length * breadth

Therefore, the volume of the cuboid becomes;

Volume of cuboid = base area * height

Substituting into the equation, we have;

Volume of cuboid = 500 * 4

Volume of cuboid = 2000 m³