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3 years ago

W(x) = 5^2x + 1; Find w(0)

Mathematics

1 answer:

hammer [34]3 years ago

5 0

Answer:

w(0) = 1

Step-by-step explanation:

If w(0) is true, replace all x in the equation with 0 and then solve

w(0) = 5^2(0) + 1

w(0) = 25(0) + 1

w(0) = 0+1

w(0) = 1

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svlad2 [7]

Answer:

A is the midpoint

Step-by-step explanation:

Given

A(5.2) B(6,-3) and C(4.7)

Required

Which is the midpoint

Midpoint is calculated using:

$(x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)$

Testing A as the midpoint, we have:

$(5,2) = \frac{1}{2}(6+4,-3+7)$

$(5,2) = \frac{1}{2}(10,4)$

$(5,2) = (\frac{1}{2}*10,\frac{1}{2}*4)$

$(5,2) = (5,2)$

The above equation is true. Hence, A is the midpoint of B and C

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2 years ago

determine the base, b, of the exponential model. Is the base a growth or decay factor? a. b is 0.6394; It is a growth factor. b.

Kazeer [188]

An exponential model can be described by the function
$f(x) = a(b)^x$
where: a is the initial population or the starting number, b is the base and x is the number of periods elapsed.

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Given the exponential model
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n is the final output of the exponential model, 20.5 is the starting number, 0.6394 is the base and t is the number of periods/time elapsed.

Here, the base is 0.6394 which is less than 1, hence a decay factor.

Therefore, the base, b, of the exponential model is 0.6394; It is a decay factor.

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3 years ago

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3 years ago

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babymother [125]

Answer:

Following are the responses to the given question:

Step-by-step explanation:

Level of Significance, $\alpha = 0.05$

Sample Size, $n = 120$

Sample Proportion, $\hat{P} = 0.600$

$z -value = Z_{\frac{\alpha}{2}} = 1.960 \ \ [excel formula =NORMSINV(\frac{\alpha}{2})]$

Standard Error $SE = \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} = 0.0447$

margin of error $E = Z\times SE = 1.960 \times 0.0447 = 0.0877$

When $95\%$ Confidence Interval

Interval Lower Limit $= \hat{p} - E = 0.600 - 0.0877 = 0.5123$

Interval Upper Limit $=\hat{p}+ E = 0.600 + 0.0877 = 0.6877$

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3 years ago

6. A square field has an area of 479 ft². What is the approximate length of a side of the field?

anastassius [24]

Answer:

22 Feet

Step-by-step explanation:

All the lengths of a square are the same length.

The area of a square is the length times the width. The length and the width are the same measurement. So, we are looking for the square root of 479.

$\sqrt{479}$

21.88606863 is as far as my calculator goes. This is an irrational number. That means that it never repeats or terminates as a decimal. They tell us to answer to the nearest foot. That would be 22 feet.

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1 year ago