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2 years ago

Please help with the steps to get the answer. Thank you. 15^(4x-8 )= 1

1 answer:

8 0

$15^{4x-8} =1\\\\\implies 15^{4x-8} = 15^0\\\\\implies 4x -8 = 0\\\\\implies 4x = 8\\\\\implies x = \dfrac 84\\\\\implies x =2$

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At the end of 2006, the population of Riverside was 400 people. The population for this small town can be modeled by the equatio

andriy [413]

The correct format of the question is

At the end of 2006, the population of Riverside was 400 people. The population for this small town can be modeled by the equation below, where t represents the number of years since the end of 2006 and P represents the number of people. $P = 400 ( 1.2 )^ t$ Based on this model, approximately what was the increase in the population of Riverside at the end of 2009 compared to the end of 2006?

(A) 291

(B) 691

(D) 1440

Answer:

The increase in the population at the end of 2009 is 291 people

Step-by-step explanation:

We are given the equation as $P = 400 ( 1.2 )^ t$

where

P = No of People

t= No of Years

it is given that in the year 2006 the population is 400

this will only happen when we take t= 0

so for

Year value of t

2006- t = 0

2007- t = 1

2008- t = 2

2009 t = 3

No of people in 2009 will be

$P = 400(1.2)^3$

= 400*1.728

P = 691.2

Since the equation represents no of people so it can't be in decimals, Therefore the population will be 691

Increase = P(2009) - P(2006)

= 691 - 400

= 291

The increase in the population at the end of 2009 is 291 people.

4 0

3 years ago

A pair of reading glasses shows you an image of an object that is 3.1 times the object's actual size. So the scale factor of the

KiRa [710]

When given the scale factor and the factored size of the object, to find the original size, divide the factored size by the scale factor:

0.8 / 3.1 = 0.258 inches

3 0

3 years ago

A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated fro

Veronika [31]

Answer:

There is no sufficient evidence to reject the company's claim at the significance level of 0.05

Step-by-step explanation:

Let $\mu$ be the true mean weight per apple the company ship. We want to test the next hypothesis

$H_{0}:\mu=120$ vs $H_{1}:\mu\neq 120$ (two-tailed test).

Because we have a large sample of size n = 49 apples randomly selected from a shipment, the test statistic is given by

$Z=\frac{\bar{X}-120}{\sigma/\sqrt{n}}$ which is normally distributed. The observed value is

$z_{0}=\frac{122.5-120}{12/\sqrt{49}}=1.4583$ . The rejection region for $\alpha = 0.05$ is given by RR = {z| z < -1.96 or z > 1.96} where the area below -1.96 and under the standard normal density is 0.025; and the area above 1.96 and under the standard normal density is 0.025 as well. Because the observed value 1.4583 does not fall inside the rejection region RR, we fail to reject the null hypothesis.

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3 years ago

A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an ineq

alukav5142 [94]

Answer:

13, 14

Step-by-step explanation:

The parameters of the numbers are;

A whole number value = 2 × Another number + 6

The sum of the two numbers is less than 50

Given that the first number is equal to more than twice the second number, we have that the first number is the larger number, while the second number is the smaller number

Where 'x' represents the second number, we get;

x + 2·x + 6 < 50

Simplifying gives;

3·x + 6 < 50

x < (50 - 6)/3 = 14. $\overline 6$

x < 14. $\overline 6$

Therefore, the numbers for which the inequality holds true are numbers less than 14. $\overline 6$ . From the given option, the numbers are 13, and 14.

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3 years ago

11/12 - 3/4 in simplest form.

zlopas [31]

Answer: 1/6

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers