Standing by a pole, a boy 3 2 feet tall
casts a 6-foot shadow. The pole casts a
24-foot shadow. How tall is the pole?

Answer:

First we need to see how many times 65% will make the price go up by 100%. We can see this by dividing 100 by 65. 100 divided by 65 is 1.53846153846. Now we can multiply 40 by 1.53846153846 and see what we get. 40x1.53846153846=$61.5384615384.

This is a lot of decibal numbers so if you seek more help then contact me on discord at Mousycritter#2842 for free advice!

Step-by-step explanation:

Answer:

H) 7x² + 8x - 2

Step-by-step explanation:

Answer: Hewo, there! your answer is Below

There are 60 mins In 11 a.m And every hour

Step-by-step explanation:

You can easily convert 1 hour into minutes using each unit definition:

Hour

hour = 60 min = 3600 s

Minutes

minute = 60 s = 60 s

Hope this helps you!!

Have a great day!!

Answer:

their are 60 minutes in 11 am

Answer:

Solve each inequality and combine solutions:

Combination of the two is:

or

Answer: <0<x<10/3

Step-by-step explanation:

Answer:

Do you see the lines and how they are named? I am going to try and explain this in less words than I can. Where it says XS you have to match it up with the lines. But if it says that you have to find XSU (which it does not) you would have to go up all the way but you stop where it says the S so you wont go all  the way up to the U. I hope this helps!

Answer:

Consider matrix A.

What is the inverse of A? Fill in the missing elements in the matrixs.

Step-by-step explanation:

Consider matrix A.

What is the inverse of A? Fill in the missing elements in the matrixs.

Answer:

Hello! Your answer would be, 600

Step-by-step explanation:

if we start backwards, the value of 6 in 6000 is equal to 1/1000. If you want to find what is 10 times that, multiply 1/1000 with ten and you get 1/100. That is equal to 6/600. The value of 6 is 600.

Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Abby

Answer:

1/6, 3/7, 2/3, 4/5

Step-by-step explanation:

Answer:

[tex]r=\dfrac{2}{3}\ yards[/tex]

Step-by-step explanation:

Given that,

The volume of a sphere is, [tex]V=\dfrac{32}{81}\pi[/tex] cubic yards

We need to find the radius of the sphere. The formula for the volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^2[/tex]

Put all the values,

[tex]\dfrac{32}{81}\pi=\dfrac{4}{3}\pi r^3\\\\r^3=\dfrac{8}{27}\\\\r=\dfrac{2}{3}\ yards[/tex]

So, the radius of the sphere is equal to [tex]\dfrac{2}{3}\ yards[/tex].

Answer:

2 x 2 x 11 or 2^2 x 11

Prime factorization: 44 = 2 x 2 x 11, which can also be written 2² x 11.26

Answer:

x=5

Step-by-step explanation:

2(x-1)=x+3

x=5

(5-1)=4

4*2=8

5+3=8

ANSWER 5

Have a great day!

Answer:

21 students ride the bus

Answer:

The area would be 15.75 feet squared!

(4+5/2)(3.5) = 15.75

Answer:

[tex]x^{3} - x^{2} - 7x -2[/tex]

Step-by-step explanation:

Give me brainllest

Answer:

[tex] {x}^{3} - {x}^{2} - 7x - 2[/tex]

Step-by-step explanation:

[tex](x + 2)( {x}^{2} - 3x - 1)[/tex]

Multiply the first term.

[tex]x \times {x}^{2} = {x}^{3} [/tex]

Multiply x by everything on the right, dont do x squared we already done that.

[tex]x \times - 3x = - 3 {x}^{2} [/tex]

[tex]x \times - 1 = - x[/tex]

Multiply 2 by everything on the left expect -1. ( that our next step).

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

[tex]2 \times - 3x = - 6x[/tex]

Multiply the last term, 2 and -1.

[tex]2 \times - 1 = - 2[/tex]

Add like with like.

[tex] {x}^{3} - {x}^{2} - 7x - 2[/tex]

Answer:

[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex] --- Demand

[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex] --- Supply

Step-by-step explanation:

Given

[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex]

[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex]

Required

Identify the demand and the supply equation.

To identify which is the demand equation and which is the supply equation, we simply look through the constraints of the equation.

For (1):

[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex]

We have: Price and Income

For (2):

[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex]

We have: Price and Rainfall

In (1), price and income determines the demand of a product.

Hence, (1) represents the demand equation

In (2), price and weather condition (rainfall) determines the supply of a product.

Hence, (2) represents the supply equation.

Answer:

Entras a una tienda ropa y hay un pantalón que valia 150 y ahora vale 90 y una camiseta que valia 40 ahora vale 24 ¿ tienen el mismo porcentaje de rebaja ? Justifica tu respuesta

Answer:

13/52

Step-by-step explanation:

Step-by-step explanation:

If we think over it, we could recognise that this question is like

How many 3's are in 6?

Probably the answer is

2

, as

6

÷

3

=

2

So, we divide

1

by

5

6

→

1

÷

5

6

→

1

⋅

6

5

→

6

5

⇒

1

1

5

=

1.2

So, there are

1

1

5

number of

5

6

's in

1

Answer:

3/(5/6)

Step-by-step explanation:

multiply the numerator and denominator by 6

18/5

Answer:

a) The total engine volume is 30.3265 in³

b) the mass of air contained in the engine is 0.00129 lbm

c) The efficiency of the engine is 55.6%

Step-by-step explanation:

Given the data in the question;

The configuration is in line with four-stroke, four-cylinder engine.

Bore ( d ) = 3.17 in

Stroke ( L ) = 3.48 in

compression ratio ( r ) = 10.6 : 1

First, we calculate the swept Volume V₁ = π/4 × d²L

we substitute

V₁ = π/4 × (3.17 )² × (3.48) = 27.4655 in³

Now, Compression Ration; r = Vs + Vc / Vc

r = (V₁ + V₂) / V₂

we substitute

10.6 = (27.4655 + V₂) / V₂

10.6V₂ = 27.4655 + V₂

10.6V₂ - V₂ = 27.4655

9.6V₂ = 27.4655

V₂ = 2.861 in³

So

a) total engine volume

[tex]V_{BDC[/tex] = V₁ + V₂

we substitute

[tex]V_{BDC[/tex] = 27.4655 in³ + 2.861 in³

[tex]V_{BDC[/tex] = 27.4655 in³ + 2.861 in³

[tex]V_{BDC[/tex] = 30.3265 in³

Therefore, The total engine volume is 30.3265 in³

b) The mass of air

given that; T = 540°R, P = 14.7 psia

we know that; PV = mRT   { R is constant }

we solve for m

m = PV / RT

we substitute

m = (14.7 × 30.3265)  / ( 0.3704 × 1728 )540

m = 445.79955 / 345627.648

m = 0.00129 lbm

Therefore, the mass of air contained in the engine is 0.00129 lbm

c) The efficiency

from table { properties of air}

At 540°R; u₁ = 92.04 BTu/lbm, u[tex]_r[/tex]₁ = 144.32

Now process 1 - 2 ( Isentropic )   u[tex]_r[/tex]₁ / u[tex]_r[/tex]₂  = V₁/V₁ = r

so,  u[tex]_r[/tex]₁ / u[tex]_r[/tex]₂ = r

144.32  / u[tex]_r[/tex]₂ = 10.6

u[tex]_r[/tex]₂ = 144.32/10.6

u[tex]_r[/tex]₂ = 13.61

Thus, at u[tex]_r[/tex]₂ = 13.61, u₂ = 235 BTU/lbm, T₂ = 1340°R

Now, we know that;

P₁V₁/T₁ = P₂V₂/T₂  ⇒ (P₁/V₁)r = P₂/T₂

⇒ ( 14.7 / 540 )10.6 = P₂/1340

P₂ = 386.664 psia  

process 2 - 3; constant volume heat addition;

Now, At T₃ = 3600°R, u₃ = 721.44 BTU/lbm, u[tex]_r[/tex]₃ = 0.6449

so, [tex]q_{in[/tex] =  u₃ -  u₂

we substitute

so, [tex]q_{in[/tex] =  721.44  -  235  = 486.44 BTU/lbm

Next, process 3 - 4; Isentropic  

u[tex]_r[/tex]₄/u[tex]_r[/tex]₃ = V₄/V₃ = r

u[tex]_r[/tex]₄ / 0.6449  = 10.6

u[tex]_r[/tex]₄ = 6.8359

At u[tex]_r[/tex]₄ = 6.8359; u₄ = 308 BTU/lbm

∴

Heat Rejection [tex]q_{out[/tex] = u₄ - u₁ = 308 - 92.04 = 215.96 BTU/lbm

so, [tex]W_{net[/tex] = [tex]q_{in[/tex] - [tex]q_{out[/tex]

[tex]W_{net[/tex] = 486.44 - 215.96

[tex]W_{net[/tex] = 270.48 BTU/lbm

so the efficiency; η[tex]_{thermal[/tex] = ([tex]W_{net[/tex] / [tex]q_{in[/tex] ) × 100%

η[tex]_{thermal[/tex] = ( 270.48 / 486.44  ) × 100%

η[tex]_{thermal[/tex] = ( 0.55604  ) × 100%    

η[tex]_{thermal[/tex] = 55.6%

Therefore, The efficiency of the engine is 55.6%

According to the given data,

By adding the probabilities, we get

→ [tex]P (D \leq = 2) = 0.301+0.176[/tex]

                     [tex]= 0.477[/tex]

Thus the response above is appropriate.

Learn more about probability here:

https://brainly.com/question/16790640

Answer:

0.097

Step-by-step explanation:

1) "First digit greater than 7" means that the first digit is 8 or 9.

2) P(first digit greater than 7)=0.051+0.046=0.097

3) 0.097

Answer:

there are 35 bananas in B

Step-by-step explanation:

There are 16 bana

answer:

$14

step-by-step explanation:

the formula for simple interest is-

i=prt

meaning interest=principal (the starting amount of money) * rate * time

=200*0.01*7

(we have to turn 1% into a decimal so 1/100=0.01)

=14

i=14

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

After 7 years and a 1% interest rate, Brendan will have a total of 214$.

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

Given, Brendan has $200 in a saving account with a 1% interest rate.

The simple interest is given as

Interest = (PRT/100)

where

P = Amount deposited = 2,00

R = Rate = 1%

T= Time = 7 years

Interest = (PRT/100)

Interest = (200 × 7 × 1/100)

Interest = 14

Total amount = SI + principal amount

Total amount = 14 + 200 = 214

Therefore, Brendan will have 214 $ after 7 years and a 1% interest rate.

Learn more about simple interests here:

https://brainly.com/question/29210957

#SPJ6

Given:

CDEF is dilated by a scale factor of [tex]\dfrac{3}{4}[/tex] to form the quadrilateral C'D'E'F'.

To find:

The measure of side E'F'.

Solution:

If a figure is dilated by a scale factor of k, then the side of dilated figure is k times of corresponding side of original figure.

CDEF is dilated by a scale factor of [tex]\dfrac{3}{4}[/tex] to form the quadrilateral C'D'E'F'. So,

[tex]E'F'=\dfrac{3}{4}\times EF[/tex]

From the given figure it is clear that [tex]EF=12[/tex]. So,

[tex]E'F'=\dfrac{3}{4}\times 12[/tex]

[tex]E'F'=9[/tex]

Therefore, the measure of side E'F' is 9 units.

Answer:

Theatre A has the greatest percent