Joe and Renee are building a fence. Joe can build the fence alone in 4 hours. If Renee stars helping Joe after he has already worked on the fence for 2 hours, they will finish the fence 90 minutes after she joins him. How long would it take Renee to build the fence alone?

Answer:

Step-by-step explanation:

Volume of a cube:

V = a3

Surface area of a cube:

the area of each face (a x a) times 6 faces

S = 6a2

Face diagonal of a cube:

By the pythagorean theorem we know that

f2 = a2 + a2

Then f2 = 2a2

solving for f we get

f = a√2

Diagonal of the solid cube:

Again, by the pythagorean theorem we know that

d2 = a2 + f2

substituting f into this equation we get

d2 = a2 + (a√2)2 = a2 + 2a2 = 3a2

solving for d we get

d = a√3

Answer:

80 is a multiple for all of those

Answer:

The answer is 2.94

Step-by-step explanation:

10.5x28 divided by 100=2.94

The number that has a 4 in the hundred places.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A 4 with a value ten times less than the 4 in the number 123,469.

First, the value of the 4 in the number 123,469 can be found by separating each digit as:

123,469 = 100,000 + 20,000 + 3,000 + 400 + 60 + 9

Then the value of the 4 is 400.

Now we want a number that has a 4 with a value then times less than 400. Then we have

400/10 = 40

Then we want a number that has a 4 in the hundred places.

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Answer:

B

Step-by-step explanation:

y = - |x-4|+8  ... f(x)

==> y= -|x-1|+3   ... y = f(x+3) - 5   .. horizontal translate left 3 units and

                                                      vertical translate down 5 units

The two solutions of the equation:

(6x - 12)/3 + 4 = 18/x

Are x = 3 and x = -3

Here we have the following equation:

(6x - 12)/3 + 4 = 18/x

Notice that in the right side we have x on a denominator, then x can not be zero, so x ≠ 0.

Now, let's start by simplifying the left side:

(6x - 12)/3+  4 = 18/x

2x - 4 + 4 = 18/x

2x = 18/x

Now we can multiply both sides by x so we get:

2x^2 = 18

Now divide both sides by 2:

x^2 = 18/2

x^2 = 9

Finally, apply the square root in both sides:

√x^2 = ±√9

x = ±3

The two solutions are x = 3 and x = -3

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Answer:

Y = (1/2)x - 2

Step-by-step explanation:

To compose a linear equation, always use the form

Y = Mx + C where C is the y-intercept and M is the gradient.

In this case, pick any 2 points on the graph to solve for M

e.g (8,2) and (6,1)

Gradient = (2 - 1) /(8 -6) given by (y1 - y2) / (x1 - x2) = 1 / 2

Substitute into the form, we get

Y = (1/2)x + C

Now, we use any point again on the graph,

e.g (6,1) and substitute as (x, y) into the above function.

We will get 1 = (6)(0.5) + C

C = -2

Piece them up and u get the full function.

Answer:

b

Step-by-step explanation:

\( {x}^{ - \frac{5}{3} } = = = > \\ \frac{1}{x} ^{ \frac{5}{3} } \)

So the root is 3 and the power is 5

finally your answer

\( \frac{1}{ \sqrt[3]{ {x}^{5} } } \)

By first method, he volume of the rectangular prism is (9/32) cubic feet.

By second method, the volume of the rectangular prism is (27/64) cubic feet, which agrees with the volume calculated using the first method.

Volume is a measurement of the amount of space that an object occupies. It is the three-dimensional space occupied by an object. Volume is typically measured in cubic units such as cubic meters, cubic centimeters, cubic feet, and so on.

We can determine the volume of the rectangular prism in two different ways using the formula:

Volume = Length x Width x Height

First Method:

In the first method, we simply substitute the given dimensions of the rectangular prism into the formula and calculate the volume:

Volume = (3/4) ft x (3/8) ft x (3/4) ft

Volume = (9/32) ft³

Second Method:

In the second method, we can use the fact that the rectangular prism can be divided into 4 smaller rectangular prisms, each with dimensions (3/4) ft x (3/8) ft x (3/16) ft. We can calculate the volume of one of these smaller prisms and then multiply by 4 to get the total volume:

Volume of one smaller prism = (3/4) ft x (3/8) ft x (3/16) ft

Volume of one smaller prism = (27/256) ft³

Total volume = 4 x Volume of one smaller prism

Total volume = 4 x (27/256) ft³

Total volume = (27/64) ft³

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Answer:

the hypothesis is 5or 13

Step-by-step explanation:

let the hypotenuse be y so the first side will be y-1 and the other side will be y-8 repectively and using the pythagoras theorem you solved for the hypotenenuse

Answer:

Step-by-step explanation:

answer is 9.66

Answer:

cos4B=1-8sin^2B+8sin^4B

Hey there!

-1/2 (1/4 * - 3/8)

= -1/2(1/4)(-3/8)

= -1/2(-3/32)

= 3 / 64

Therefore, your answer should be:

3/64

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

\( 35m \)

Step-by-step explanation:

Given :-

And we need to find the length of the rectangle . We can use the formula to find the perimeter of rectangle , as ,

Perimeter of rectangle :-

\(\implies Perimeter = 2( l + b)\)

\(\implies 120m = 2 ( x + 25m) \\\\\implies x + 25m =\dfrac{120m}{2}\\\\\implies x + 25m = 60m \\\\\implies x = 60m - 25m \\\\\implies x = 35m \)

Hence the length of the rectangle is 35 m .

Answer:

Diagonal, I'm 90% sure it is at least!!

Answer:

(2/3)^3

8/27 in^3

Step-by-step explanation:

Answer:

3

0.29629629629in³

Step-by-step explanation:

To find the volume of a cube you multiply the length by the width by the height. Since all the sides of the cube are the same, its the same measure multiplied three times, ie. to the power of three.

(2/3)³=0.29629629629in³

Answer:

Divide 7 on both sides.

Step-by-step explanation:

\(57=\cfrac{5}{8}z+7\implies 57=\cfrac{5z}{8}+7\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{8}}{8(57)=8\left( \cfrac{5z}{8}+7 \right)} \\\\\\ 456=5z+56\implies 400=5z\implies \cfrac{400}{5}=z\implies 80=z\)

Answer:

60,120,180

3,6,9

Step-by-step explanation:

Answer:

top 3,6,9

Bottom 60,120 ,180

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

Total 12 flowers

5 are white

12-5=7

red + yellow = 7

x+2x+1 = 7

3x+1=7

3x=6

x=2

white : 5

red : 2

yellow : 5

12 flowers in total, 5 yellow flowers, probability that yellow is picked is 5/12

Answer:

37/60

Step-by-step explanation:

White Flowers = 5

Red Flowers = x

Yellow Flowers = 2x+1

Total No of Flowers = 5+x+2x+1 = 3x+6

Pr(White) = No of White Flowers / Total No of flowers

\( \frac{1}{12} = \frac{5}{3 x + 6} \\ 3x + 6 = 60 \\ 3x = 54 \\ x = 18\)

Therefore, Pr(Yellow Flowers) = 37/60

Answer:

3

Step-by-step explanation:

The answer is three because u need to simply the fractions

Answer:

I would say f(x)=5x+7 because the y-values are going up by 5 each time, so to find the y-intercept you need to subtract 5 from 12 and you get 7. The third answer is the only one that has 7 as a y-intercept.

Step-by-step explanation:

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

triangle diagram

Step 02:

ratio:

we must analyze the diagram to find the solution

The answer is:

3 / 10

We can isolate the x term by subtracting  8 from both sides of the equation, giving us 4x=12. dividing by 4 on each side gives us x=3.

So, our answer is x=3.

Step-by-step explanation:

\(4x + 8 = 20 \\ 4x = 20 - 8 \\ 4x = 12 \\ x = \frac{12}{4 \\ } \\ x = 3ans \)

hope that it helps

Step-by-step explanation:

the mean is always the sum of all data divided by the number of data points.

we have 5 data points.

their sum is

12 + 9 + 4 + 10 + 15 = 50

the mean is

50/5 = 10

Answer: 4

Step-by-step explanation:

1 third of 30 is 10 and 2/5s of 10 is 4