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Anvisha [2.4K]
3 years ago
14

Write and solve a proportion to answer the question.

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
8 0
Let x be the percentage required
25x=12
x=0.48
x=48%
Thus the ans is 48%
hope this helps
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H(x)=-x^2+10x-16 What is the height of the ball at the time it is thrown
elena-s [515]

Answer:

<em>0m</em>

Step-by-step explanation:

Before the ball is thrown, it is at the ground level. At the ground level, the height is zero. Substitute h = 0 into the equation;

h(x)=-x^2+10x-16

0=-x^2+10x-16

x^2-10x+16 = 0

Factorize

x^2-8x-2x+16 = 0

x(x-8) - 2 (x-8) = 0

x-2 = 0 and x - 8 = 0

x = 2 and 8

At x = 2

h(2) = -2^2 + 10(2) - 16

h(2) = -4 + 4

h(2) = 0

<em>Hence the height of the ball at the time it is thrown is 0m</em>

7 0
3 years ago
The percentage change of a ratio of two variables is approximately the percentage change in the numerator _____ the percentage c
olchik [2.2K]

Answer:

"The percentage change of a ratio of two variables is approximately the percentage change in the numerator <u>minus</u> the percentage change in the denominator."

Step-by-step explanation:

The percent change in a number is determined by dividing the difference between the new number and original number by the original number and multiplying the result by 100.

Suppose the original ratio of two numbers is: \frac{25}{100}.

And the new ratio is: \frac{75}{100}

The percent change is:

Change\%=\frac{75-25}{100}\times100=\frac{50}{100}\times100=50\%

Thus, the complete statement is:

"The percentage change of a ratio of two variables is approximately the percentage change in the numerator <u>minus</u> the percentage change in the denominator."

8 0
3 years ago
Read 2 more answers
Whole numbers are _____ integers. always sometimes never
Yuliya22 [10]
The answer is always




8 0
3 years ago
Read 2 more answers
Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that
V125BC [204]

Answer:

-1.39

Step-by-step explanation:

Revenue and cost as a function of units sold are u(x) = 9x-2x^{2}andc(x)=x^{3}-3x^{2}+4x+1  respectively.

we are have to know for which value or input units are these functions at maximum which translates to for how many units is the revenue maximum and for how many same units is our cost minimum.

5 0
3 years ago
PLEASE HELP!!!! i REALLY NEED TO GET THIS DONE AND AM HAVING TROUBLE WITH THIS ONE!!!!
zubka84 [21]

Answer:

a[n] = a[n-1]×(4/3)

a[1] = 1/2

Step-by-step explanation:

The terms of a geometric sequence have an initial term and a common ratio. The common ratio multiplies the previous term to get the next one. That sentence describes the recursive relation.

The general explicit term of a geometric sequence is ...

  a[n] = a[1]×r^(n-1) . . . . . where a[1] is the first term and r is the common ratio

Comparing this to the expression you are given, you see that ...

  a[1] = 1/2

  r = 4/3

(You also see that parenthses are missing around the exponent expression, n-1.)

A recursive rule is defined by two things:

  1. the starting value(s) for the recursive relation
  2. the recursive relation relating the next term to previous terms

The definition of a geometric sequence tells you the recursive relation is:

  <em>the next term is the previous one multiplied by the common ratio</em>.

In math terms, this looks like

  a[n] = a[n-1]×r

Using the value of r from above, this becomes ...

  a[n] = a[n-1]×(4/3)

Of course, the starting values are the same for the explicit rule and the recursive rule:

  a[1] = 1/2

7 0
3 years ago
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