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Luden [163]
3 years ago
15

400816×47365462957-475966

Mathematics
1 answer:
katrin2010 [14]3 years ago
8 0
1.899999999999 hope this helps buddy
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Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inc
Natasha_Volkova [10]

Answer:

2400 in^3

Step-by-step explanation:

Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall. How much water will the fish tank hold?

the capacity of the tank can be determined by calculating the volume of the tank

volume of a prism = length x width x height

20 x 10 x 12 = 2400 in^3

8 0
3 years ago
Selena was comparing the flying speeds of different birds in science class. Which of the three birds flies fastest? Why?
Mashcka [7]

Answer:

Option C. The robin flies fastest because its rate is 15 m/s

Step-by-step explanation:

Let

x -----> the time in seconds

y ----> the distance in meters

The speed is equal to divide the distance by the time

In this problem, the slope or unit rate of the linear equation is the same that the speed

<em>Robin's Flight</em>

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

take two points from the table

(2,30) and (3,45)

substitute in the formula

m=\frac{45-30}{3-2}

m=\frac{15}{1}

m=15\frac{m}{sec}

<em>Cardinal's Flight</em>

y=10x

m=10\frac{m}{sec}

<em>Blue Jay's Flight</em>

take two points from the graph

(0,0) and (2,20)

substitute in the formula

m=\frac{20-0}{2-0}

m=\frac{20}{2}

m=10\frac{m}{sec}

Compare

The robin flies fastest because its rate is 15 m/s

4 0
4 years ago
You are planning to make an open rectangular box from aa 4141​-in.-by-8181​-in. piece of cardboard by cutting congruent squares
marissa [1.9K]

Answer:

13058.83 cubic inches

Step-by-step explanation:

Given that a rectangular box is having dimensions as 41x81 inches.

Let x be the side of square cut from all the four corners.

The open box made would have height as x and length 41-2x with width 81-2x

Volume =

V(x) = x(41-2x)(81-2x)\\V(x) =x(3321-244x+4x^2)\\V(x) = 3321x-244x^2+4x^3\\V'(x) = 3321-488x+12x^2\\V"(x) = -488+24x\\

Equate first derivative to 0

We get applicable root as x = 8.642

Max volume = 13058.83 cubic inches

3 0
3 years ago
I need a word problem that has a negative - positive
AleksandrR [38]

Answer:

Here it is

Step-by-step explanation:

You are 58 dollars in debt, and your friend pays you 73 dollars.  How much money do you have?  Does that work for you?

8 0
3 years ago
A soccer team made 76 penalty shots out of 100.Which ratio represents successful penalty shots to missed penalty shots?
almond37 [142]
Sense we are wanting to find <u>how many were miss</u>, then, we are practically going to subtract the following:

\boxed{76-100}= \     \left[\begin{array}{ccc}\bf{24\end{array}\right]

So, from this begin understood, we would then combine both the penalties that were shotted, to the onces that weren't.

So, b subtracting these both, we would grab the result, and then smash that with the number of the penalties that were made in.

Your answer: \boxed{\bf{76:24}}
5 0
3 years ago
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