Think about how you can use the diagram to figure out the statement of the Pythagorean Theorem

Answer:

3 busses and 5 vans

Step-by-step explanation:

3 x 51 = 153

193 - 153 = 40

40 / 8 = 5

Answer:

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

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

Answer:

35/(7/8)=

35*8/7=40 store B

40-35=$5 Saved

Step-by-step explanation:

Hope this helps :D

Answer:

C = dπ

37.68 = d(3.14)

d = 12 inches

2r = d

2r = 12

radius = 6 inches

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:

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:

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:

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:

a=64

b=112

c=78

d=88

Step-by-step explanation:

hope this helps have a nice day !!!

Answer:

the measure of what?????

Answer:

Answer: -14 gallons. Given : Seven days ago, the gas tank on Roses car was filled with 20 gallons of gasoline. Today there are 6 gallons of gasoline. ∵ 20> 6 , it means there is decrease in the amount gasoline.

Step-by-step explanation:

Your welcome :)

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:

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

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Answer:

Step-by-step explanation:

Answer:

50°

Step-by-step explanation:

Given that a triangle measures 180°.

∠U =40°

∠W=90°

Sum:130°

180°-130°=50°

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:

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.

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Answer:

1غىخةضهاثضخ

Step-by-step explanation:

ى7غ-3ص0ض49ة=

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:

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:

I think the answer is 672 please be right

Answer:

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

Step-by-step explanation:

I graphed it on Desmos

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:

angle bisectors and opposite side perpendiculars

Step-by-step explanation:

Answer:

we need a picture to answer the question correctly

Step-by-step explanation:

Answer:

your answer will be C. The function has an inverse because it passes the horizontal line test.

bye have a nice day ^_^

C. The function has an inverse because it passes the horizontal line test.

A function is a rule or a relation that associates each element of a non-empty set A, to at least a single element of another non-empty set B.

The relation f from a domain set to co-domain set is called function.

Example : f = {(x, y) | for all x∈X & y∈Y}

A relation becomes function when every element of domain has one and only one image in co-domain.

If f is a function which is one-one as well as on-to, i.e, if the function is bijective, then the inverse of this function exists and the inverse is then denoted by [tex]f^{-1\\}[/tex]

Inverse function of a function always undoes the operations of the function f.

f(a) = b if and only if f⁻¹ (b) = a , where a is from domain & b is from co-domain set.

From the above descriptions, we can see that, since the function passes through the horizontal line, so it has an inverse.

Hence the option C is the correct one.

C. The function has an inverse because it passes the horizontal line test.

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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:

f(x)=9sin(6πx)+3