A dump truck pours sand into a container in the shape of a rectangular prism with a square base of length 2 feet. The height, h, of the sand in the container increases at a rate of approximately 8 inches per minute. Create an equation that models the volume, V, of the sand in the container in terms of h, then use the equation to determine the time at which the volume is 64 cubic feet. Note that the volume of a rectangular prism is V=l×w×h, where l, w, and h are the length, width, and height of the prism.

Answer:

x = [tex]\sqrt{10}[/tex]

Step-by-step explanation:

The 2 right triangles and the outer right triangle are similar, then ratios of corresponding sides are equal, that is

[tex]\frac{x}{5}[/tex] = [tex]\frac{2}{x}[/tex] ( cross- multiply )

x² = 10 ( take the square root of both sides )

x = [tex]\sqrt{10}[/tex]

Answer:

√10

Step-by-step explanation:

taking the smallest triangle;

y as the hypotenuse, x as the adjacent side, 2 as the opposite side

then: y²=x²+2²

x²=y²-2²= y²-4

taking the other triangle;

z as the hypotenuse, x as the adjacent side, 5 as the opposite side

then: z²=x²+5²

x²=z²-5² = z²-25

take both equations,

x²= y²-4

x²= z²-25

y²-4= z²-25

y²= z²-25+4 = z²-21

taking the biggest triangle (whole triangle);

(5+2)= 7 as the hypotenuse, z as the adjacent side, y as the opposite side

then; 7²=z²+y²

z²+y²=7² =49

but y²= z²-21;

z²+y² =49

z²+ z²-21 =49

2z²-21=49

2z²=49+21= 70

z²= 70/2 = 35

take x²= z²-25

x²= 35-25 = 10

[tex]x = \sqrt{10} [/tex]

Answer:

c.

Step-by-step explanation:

Altitude of Equilateral Triangle h = (1/2) * √3 * a. Angles of Equilateral Triangle: A = B = C = 60° Sides of Equilateral Triangle: a = b = c.

Answer:

The first box plot is correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

Lets analyze the dot plot and work out 5 numbers.

We see the minimum score is 18 and maximum score is 25, these are the two numbers.

The scores

Median of the data:

Lower half

Upper half

We now have 5 number summary:

Looking at the box plots, we see the first one is reflecting the numbers we got.

Step-by-step explanation:

1.The "9-trick".To add 9 to any number, first add 10 and then subtract 1

2.Double +1

3.use adittion facts when adding bigger number.

4.subtract by adding

5.five times a number

6.four and eight times a number

7.multiply in parts

im good in math

Answer: f(2)=1

Step-by-step explanation:

This is a function-related problem. In order to solve f(2), you need to substitute the value into the original function.

-----------------------------------------------------------------------------------------

f(x)=5x⁵-3x⁴- 17x³-4x²+10x+21

f(2)=5(2)⁵-3(2)⁴- 17(2)³-4(2)²+10(2)+21

f(2)=160-48-136-16+20+21

f(2)=1

Hope this helps!!

Please let me know if you have any questions

Answer:

the the answer is

5(2h+d)

Answer:

176 words

Step-by-step explanation:

1) well we want to find the amount of words we'd be able to type in 4 minutes. so, what i did was:

44 words = x

1 minutes = 4 minutes

2) now look at how i set up the proportion, notice how i left a variable of x for the value i didn't know.

3) we also know that 1 times 4 is 4, so it'd also make sense to also multiply the numerator by 4 too!!

4) multiplying 44 by 4 would get us our answer which is 176

im not the best at math but i this explanation helped <33

Answer:

Part A: 18x^2+63x+55, B: second degree trinomial, Part c: (3x+5) (6x+11) =18x^2+63x+55

Answer:

positive 6 is the change in the sequence

Answer:

the first one is c and the second one is b

Answer:

2 hr

Step-by-step explanation:

Answer:

-4n^4-4n^2-8n+3

Step-by-step explanation:

you combine the like terms

Answer:

65 + 25(3)

65 + 75

140

Step-by-step explanation:

Answer:

$140

65+25+25+25=140

Answer:

m∠M = 47°

m∠R =  124°

Step-by-step explanation:

HOME = TRAP

Judging buy the picture there is only one corner that sticks out compared to the rest of the angles. Meaning that A and M are the same because they are the only angles that are easily identical to each other. Then match the letters using this information

m∠A = m∠M

m∠R = m∠O

m∠T = m∠H

m∠P = m∠E

Now all you need to find is m∠R and m∠M

m∠A = m∠M means m∠M = 47° since m∠A is 47°

Same concept goes for m∠R = m∠O.

Answer:

Part a: 2.5

Part b: The rate the oil fills the tank

Part c: The amount of liquid in the tank to begin with.

Hope this helps. :)

As per the graph that shows the volume of oil in tank T sec.

The given graph describes the volume of the oil in L and shows the value in t seconds. The gradient of the graph is about 2.5 and it shows us the amount of liquid in the tank. The value of the graph that intersects at the L 2 is the amount of liquid found in the tank.

Find out more information about the graph.

brainly.com/question/14323743

Answer:

2, 5,6

Step-by-step explanation:

Answer:

2, 5, 6

Step-by-step explanation:

plz give me brainliest, i have no more and i need to level up

Answer:

20

Step-by-step explanation:

Answer:

52 seeds.

Step-by-step explanation:

So, 3/4 of his plants have grown. SO, 3/4 = 39 plants, and if we divide by 3, we get 1/4 of the plants are 13 plants. SO, if we want to find 4/4, we can multiply 13*4=52 seeds.

Quincey planted 52 seeds in total.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

75% grew into mature plants.

If Quincey has 39 tomato plants in his garden.

let x number of seed he planted.

So, 75% of x= 39

75x/100= 39

75x = 3900

x = 52

Hence, He planted 52 seeds.

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ6

Answer:

A

Step-by-step explanation:

I chose C on A P E X but it said the answer was A

The line is reflected it could be a result of the line or the point is congruent to the preimage. Hence the option A is correct.

A reflected line is a figure such as an image that is reflected when the image is congruent to the preimage. It point in the figure to the image across the fixed line. This fixed line is caleld as line of reflectance. It can done by coordinating the using the planes.

Find out more information about the reflected line.

brainly.com/question/22342234

Answer:

The graph is not visible

Step-by-step explanation:

Do something about it

Answer:

0.07142857142

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

5 + (2 * 4)

5 + 8 = 13

Answer: 0.1056

Step-by-step explanation:

Given: Chipotle Burritos are normal distributed with

Mean =  200 mm

Standard deviation = 8 mm

Let x be the length of a random burrito.

The probability that a burrito picked at random is shorter than 190mm will be :

[tex]P(x<190)=P(\dfrac{x-\mu}{\sigma}<\dfrac{190-200}{8})\\\\=P(z<-1.25)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(z<1.25)\\\\=1-0.8944\\\\=0.1056[/tex]

Hence, the probability that a burrito picked at random is shorter than 190mm is 0.1056.

Answer:

A

Step-by-step explanation:

its 5.5 an hour and the cost is 15 at the start

Answer:  I would go with A. f(x) = 4x + 3

Nothing further can be done with this topic. Please check the expression entered or try another topic.

f ( x ) = 4 x + 3 ,     f ( x ) = − 4 x − 3 ,     f (x ) = x + 3 ,     f ( x ) = x + 3

Step-by-step explanation:  Set up the composite function and evaluate.

f ( 4 x + 3 ) = 16 x + 15

Graph.

f ( x ) = 4 x + 3

f ( x ) = − 4 x − 3

f ( x ) = x + 3

f ( x ) = x + 3

Answer: The answer is 3h

Step-by-step explanation:

Answer:

c=  -6

Step-by-step explanation:

I hoped this helped!

Correct me if I'm wrong!