Find the volume of the prism. 5/2 ft. 3/2 ft. 4/3 ft.

Answers:

RS = 13

ST = 8

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Explanation:

S is between R and T. I'm assuming also that S is on line RT.

If that's the case, then by the segment addition postulate, we can say  RS+ST = RT.

In other words, the longest segment RT is broken into two smaller pieces RS and ST (not necessarily equal but they may be). Gluing the pieces back together should get us the original longest segment.

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Apply substitution and solve for x.

RS+ST = RT

(2x+5)+(3x-4) = 21

(2x+3x)+(5-4) = 21

5x+1 = 21

5x = 21-1

5x = 20

x = 20/5

x = 4

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If x = 4, then,

Then notice how RS+ST = 13+8 = 21, which is is the length of RT

This confirms that RS+ST = RT is true and it confirms our answers.

Answer:

C

Step-by-step explanation:

convert option a to the lowest term

10 : 35 = 2: 7 (divide both ratios by 5)

8 : 28 = 2 : 7 (divide both ratios by 7)

convert option b to the lowest term

4 : 10 = 2 : 5  (divide both ratios by 2)

10 : 25 = 2 : 5  (divide both ratios by 5)

option c

divide 40km/h by 60 to convert to km / min

40/60 = 0.7 not equivalent

option d

determine cost of 1 litre

2.3/1.5 = 1.53

determine cost of 7.5 litres

1.53 x 7.5 = 11.5

Answer:

I think its C but I'm not sure

Step-by-step explanation:

I'm so sorry if it is wrong!!

Option D is correct, the equation represented by the function g(x) is  ∛x - 1.5.

The graph of g(x) is a translation of y =∛x

We have to find the equation which represents the g(x).

if x=9 then the value of y is 3 in the f(x).

For the translation of the graph y = ∛x would be in the form g(x) = ∛(x - h) + k, where (h, k) represents the horizontal and vertical shifts of the graph, respectively.

There is a vertical shifts in the translation.

As we observe the function when x is 9 the y value is decreased by 1.5.

So the function g(x) would be ∛x - 1.5.

Hence, the equation represented by the function g(x) is  ∛x - 1.5.

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How much turkey is in the pie?

The mass of the turkey in the pie is 1/4 of the weight of the chicken

200/4 = 50 grams

Answer:

x= 20

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

x+5  + 7x-5   + x  =180

Combine like terms

9x = 180

Divide by 9

9x/9 = 180/9

x = 20

Answer:

you did not add a picture so i cannot help you i am very deeply sorry so sorry i apologize baahhahahahahahahahahahahahah

Step-by-step explanation:

Answer:

Combine like terms

Step-by-step explanation:

Answer: 16

Step-by-step explanation: 27-11=16

Answer:

16

Step-by-step explanation:

b-c

=27-11

=16

I hope this is helpful :)

Answer:

x=2/3

Step-by-step explanation:

Most of that information is unnecessary. Just plug in the values of f(x) and g(x) into the equation where they are equal to each other and solve.

-3x+4=2

-3x=-2

3x=2

x=2/3

Answer:

D

Step-by-step explanation:

The equation is going to by

y = (x - 2)(x - 3)         Multiply to remove the brackets.

y = x^2 - 2x - 3x + 6

y = x^2 - 5x + 6       Now what you are going to do is complete the square.

y = (x^2 - 5x  +  __ ) +6

Take - 5

Divide it by 2 = -5 / 2

and square it = (-5 / 2)^2 = 25/4

Put this result inside the brackets.

y = (x^2 - 5x + 25/4 ) + 6               Now subtract 25/4 after the 6

y = (x^2 - 5x + 25/4) + 6 - 25/4

y = (x - 5/2)^2 - 1/4

The x coordinate of the vertex  is 5/2

You could also do this by using x = -b/2a = - -5/2*1 = 5/2

Answer:

6.8 x 10*6

Step-by-step explanation:

Answer:

hey im sorry for using this, but there's nothing else. which one was right???/ im stuck

Step-by-step explanation:

Answer:

22 feet

Step-by-step explanation:

9x² - 225 = 0

(3x - 15)² = 0

or

(3x + 15) (3x - 15) = 0

Answer:

[tex] {5}^{10 + 5} = {5}^{15} [/tex]

Answer:

5^15

Step-by-step explanation:

when multiplying expressions with the same base you keep the base (the base is 5 ) and add the exponents (10 and 5) then you would get your awnser

Answer:

Step-by-step explanation:

Average rate of change of a function between interval x = a and x = b is given by,

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

Average rate of change of the function in the interval [-4, -2]

= [tex]\frac{f(-2)-f(-4)}{-2-(-4)}[/tex]

= [tex]\frac{0-(-12)}{-2+4}[/tex]

= 6

Average rate of change in the interval [-2, 1]                                                                            

= [tex]\frac{f(1)-f(-2)}{1-(-2)}[/tex]

= [tex]\frac{3-0}{1-(-2)}[/tex]

= 1

Average rate of change in the interval [-3, 1]

= [tex]\frac{f(1)-f(-3)}{1-(-3)}[/tex]

= [tex]\frac{3-(-5)}{1+3}[/tex]

= 2

Average rate of change in the interval [-4, 0]

= [tex]\frac{f(0)-f(-4)}{0-(-4)}[/tex]

= [tex]\frac{4-(-12)}{0-(-4)}[/tex]

= 4

Answer:

there u go sweetie

Step-by-step explanation:

hope it helps

Answer:

This sign ≤ means greater than or equal to

but, this sign < means the number which is in the side is only greater

That why the sign ≤ is used

My this answer might be wrong , because in b ≤ 45 , I am confused from where the letter " b " came from .

Answer:

16

Step-by-step explanation:

4 option: Pork, chicken, beef, or veggie burritos.

and for each of the 4 options: rice, beans, hot or mild salsa.

4x4=16

Example:

Pork with rice

Pork with beans

pork with hot salsa

pork with mild salsa

etc.

Pork: 4 possibility

Chicken: 4 possibility

Beef: 4 possibility

Veggie burritos: 4 possibility

4+4+4+4=16

Hope this answer help you.

Answer:

[tex][-3](x + [\ 6 \ ])(x+ [ \ 2 \ ])[/tex]

(-3, 6 , 2) or (-3 , 2 , 6)

Step-by-step explanation:

[tex]-3x^2 -24x - 36\\\\-3(x^2 + 8x + 12)\\\\-3(x^2 + 6x + 2 x + 12 )\\\\-3(x(x+6) + 2(x+6))\\\\-3(x+6)(x+2)[/tex]

Answer:

c may bbethe most accurate one l m 55% sure

Answer:

Its c fs :)

Step-by-step explanation:

Its c because x should be the exponent gl and hope this helps :)

Answer:

The water molecule has the greater mass because 2.99 is greater than 2.66. After comparing the exponents, which are the same, the coefficients are compared to determine the molecule with the greater mass.

Step-by-step explanation:

Answer:

The water molecule has the greater mass because 2.99 is greater than 2.66. After comparing the exponents, which are the same, the coefficients are compared to determine the molecule with the greater mass.

Step-by-step explanation:

its right just trust

Instead of using the quotient rule, you can first expand y :

y = (4x - 1)^2 / x ^2 = (16x ^2 - 8x + 1) / x ^2 = 16 - 8/x + 1/x ^2

Then the derivative is

dy/dx = -8/x ^2 - 2/x ^3

The tangent to the curve at (-1, 25) then has a slope or gradient of

dy/dx = -8/(-1)^2 - 2/(-1)^3 = -6

Answer:

Below.

Step-by-step explanation:

A. 75, 250 and 50.

B.  75+250+50 = 375.

C. -50 and -150.

D.  -50 + -150 = -200.

E.  375 - 200 = 175.

Answer:

-16

Step-by-step explanation:

When adding a negative and a positive number, you need to keep in mind that your are essentially adding.

so if I have a number line

-24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14,,,,

you will start at -24 and will go up the number line (to the right) 8 times and that should get you your answer.

Answer:

c

Step-by-step explanation:

Answer: A would be the answer

Step-by-step explanation:

Answer:

A and E

Step-by-step explanation:

The ratio of the hypotenuse to the shorter leg to the longer leg is 2:1: root 3

Answer:

A. and E.

Step-by-step explanation:

The length of the hypotenuse is always double the length of the shortest leg and you can find the long leg by multiplying the short by the square of 3.

Class mark : 37-41

Independant variable is the classes

Answer:

6/14 and 15/35

Step-by-step explanation:

Hope this helps :) mark me brainliest plz :)