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antoniya [11.8K]
3 years ago
6

Please help with the following questions

Mathematics
1 answer:
bezimeni [28]3 years ago
6 0
1) Circumference = π*diameter
= 3.14*10 = 31.4 inches

2) 130% of 74 = 1.3 x 74
= 96.2
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What is the range of the equation
a_sh-v [17]

The range of the equation is y>2

Explanation:

The given equation is y=2(4)^{x+3}+2

We need to determine the range of the equation.

<u>Range:</u>

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

y=2 \cdot 4^{x+3}+2

This can be written as y=2^{1+2(x+3)}+2

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

x=2^{1+2(y+3)}+2

Solving for y, we get;

x-2=2^{1+2(y+3)}

Applying the log rule, if f(x) = g(x) then \ln (f(x))=\ln (g(x)), then, we get;

\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)

Simplifying, we get;

(1+2(y+3)) \ln (2)=\ln (x-2)

Dividing both sides by \ln (2), we have;

2 y+7=\frac{\ln (x-2)}{\ln (2)}

Subtracting 7 from both sides of the equation, we have;

2 y=\frac{\ln (x-2)}{\ln (2)}-7

Dividing both sides by 2, we get;

y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}

Let us find the positive values for logs.

Thus, we have,;

x-2>0

     x>2

The function domain is x>2

By combining the intervals, the range becomes y>2

Hence, the range of the equation is y>2

7 0
3 years ago
BRAINLIST IF CORRECT! 10 POINTS!<br> What is the constant of proportionality if x is 3 and y is 9?
velikii [3]

Answer:

constant of proportionality, k is 3

Step-by-step explanation:

constant, k= y/x

k=9/3

 = 3

7 0
3 years ago
Violet earned a score of 662 on Exam A that had a mean of 550 and a standard
jeyben [28]

Answer:

Step-by-step explanation:

662

8 0
3 years ago
Please help picture below
Strike441 [17]
The answer is 5 and 0

(-5) + 5 = 0
4 0
2 years ago
Which statement best describes the expression 3 y ÷ 2?
babymother [125]
The answer is c so i would pick that beacuse its sounds like a correct answer.
4 0
3 years ago
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