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SCORPION-xisa [38]
3 years ago
13

If t>0 and t2−25=0, what is the value of t?

Mathematics
1 answer:
Tomtit [17]3 years ago
3 0

Answer:

Final answer is t=5.

Step-by-step explanation:

Given equation is t^2-25=0.

Now we need to solve that equation for t when t>0.

t^2-25=0

t^2-5^2=0

(t+5)(t-5)=0

or (t+5)=0, (t-5)=0

or t+5=0, t-5=0

or t=-5, t=5

Given that t>0

so that means t=-5 is not possible.

Hence final answer is t=5.

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What is 5(4x-5y)-2=453
Tamiku [17]

5(4x-5y)-2=453

5(4x-5y)=455

4x-5y=91

When solving for x

4x=5y+91

x= 5y+91/4

When solving for y

-5y=-4x+91

y=-4x+91/-5

<em>i hope im right...</em>

3 0
3 years ago
1 (06.06 LC
Anika [276]

The question is incomplete. Here is the complete question.

A cell phone company is interested in the relationship between the number of texts per minute for their customers (y) and customer age. Based on the data collected, the least-squares regression line is y=3.27+2.14x, where x is the number of years by which age exceeds 12. Which of the following statements best describes the meaning of the slope of the least-squares regression line?

a. For each increase in age of 1 year, the estimated number of texts per minute increases by 3.27.

b. For each increase in age of 1 year, the estimated number of texts per minute increases by 2.14.

c. For each increase of one text per minute, there is an estimated increase in age of 3.27 years.

d. For each increase of one text per minute, there is an estimated increase in age of 2.14 years.

e. The slope has no meaning because the units of measure for x and y are not the same.

Answer: b. For each increase in age of 1 year, the estimated number of texts per minute increases by 2.14.

Step-by-step explanation: The <u>least-squares</u> <u>regression</u> is a method of fitness, i.e., it fits a data set of number into an equation.

In this case, the relationship between number of texts per minute and customer age is given by a line equation:

y=3.27+2.14x

in which, y represents the number of texts per minute and x is the age.

In a line equation, slope is the measure of steepness, i.e., how inclined the line is.

In the least squares regression line, slope is 2.14 and it means, in each additional year, the number of texts increase by a factor of 2.14, which is the correct alternative.

5 0
3 years ago
Two events, A and B, are disjoint. What is the probability that both A and B will occur at the same time?
solniwko [45]
ANSWER

P(A\cap B)=0

EXPLANATION

If the two events are disjoint, then they are mutually exclusive.

This means that their intersection is zero.

Therefore

n(A\cap B)=0

This implies that,

P(A\cap B)= \frac{n(A\cap B)}{n(U)}

P(A\cap B)= \frac{0}{n(U)} = 0

The probability that the two events will occur together is 0, which means an impossibility.
6 0
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Solve the problem as directed. The volume (v) of a sphere varies directly as the cube of its diameter (d). Write this statement
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Read 2 more answers
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VashaNatasha [74]
X = sonias dvds

37 = 4x - 3
+3        +3

40 = 4x

10 = x

<span>sonia has 10 dvds</span>
4 0
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