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vichka [17]
3 years ago
13

Carissa takes a square piece of cardboard and cuts 5 in. by 5 in. squares out of each corner. She folds the sides up to make a b

ox without a top.
What equation can Carissa use to determine the volume of the box, where x is the side length of the original piece of cardboard?

Express the equation in standard form.

V = ________
Mathematics
2 answers:
seropon [69]3 years ago
7 0

Answer:

V = 5x² - 100x + 500

Step-by-step explanation:

kow [346]3 years ago
3 0
The answer is v=5x^2-100x+500. First, since we are finding the volume of a square you already know that the equation for a square is volume= length*width*height. Because 5 inches was cut off from each side, that means that each side is now 10 inches shorter than it originally was. So, then you substitute the values into the formula.  So the length is x-10 and the width is also x-10 and the height is 5in. Then you write the formula like this (x-10)(x-10)5. Second, you substitute the values into the formula. Since there are 2 x's that would make x^2 and add that to 5 that would make 5x^2. Then you multiply -10*10=-100. Finally, you multiply -10*-10-5=500. Then you add them all together to get 5x^2-100x+500
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Line f has a slope of 2/7. Line g is perpendicular to f. what is the slope of line g?​
forsale [732]

Answer:5/7

Step-by-step explanation:

4 0
3 years ago
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Of the 145 students who took a mathematics exam, 80 correctly answered the first question, 81 correctly answered the second ques
jasenka [17]

Answer: 64

Step-by-step explanation:

the Kids that answered correct in any of questions 1 and 2 got at least one right so subtract the highest number which is 81 students by all the general amount of them, 145 that’s 64.

3 0
3 years ago
A total of 200 10-year-old children of similar intellectual abilities participated in a noise experiment in their classrooms. Th
Vladimir79 [104]

Answer:

The dependent variable for this experiment is the ability of students with similar intellectual abilities to recall the meaning of a symbol in a textbook one week after the start of the experiment which depends on the presence or absence of noise outside the classroom.

Step-by-step explanation:

In an experiment, the independent variable is the one whose value, form or outcome is not determined by any other variable in the experiment.

The dependent variable is the one whose value, form or outcome is determined by one or more other variable(s) in the experiment.

This experiment tests the abilities of students with similar intellectual abilities to recall the meaning of a symbol in a textbook one week after the start of the experiment.

This ability was made to depend on whether there was noise or no noise outside their classrooms.

Since, this variable to be measured is determined by another variable in the experiment, it is evident that this is the dependent variable for this experiment.

Hope this Helps!!!

6 0
3 years ago
Simplify the expression below. 3c - 2cd - 8c + 7d
jolli1 [7]
<span>3c - 2cd - 8c + 7d
= -5c </span> - 2cd + 7d

hope it helps
3 0
3 years ago
Altitudes AA1 and BB1 are drawn in acute △ABC. Prove that A1C·BC=B1C·AC
Sophie [7]

Answer:

See the attached figure which represents the problem.

As shown, AA₁ and BB₁ are the altitudes in acute △ABC.

△AA₁C is a right triangle at A₁

So, Cos x = adjacent/hypotenuse = A₁C/AC ⇒(1)

△BB₁C is a right triangle at B₁

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From (1) and  (2)

∴  A₁C/AC = B₁C/BC

using scissors method

∴ A₁C · BC = B₁C · AC

7 0
3 years ago
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