Answer:

**Answer:**

**-4(2t+1)(2t-7)**

**Step-by-step explanation:**

First factor out the common term -4

Then factor out -4^2

Answer:

**Answer:**

the answer is( -42t+1)(2t-7)

What is the relationship between these two values? 8 and 400

Manufactured bolts can’t be too long or too short or they might not fit where they need to. Help determine which bolts will work and which won’t. Show your work for all steps.A machine makes bolts that are 12 mm long. The bolts are considered acceptable if they are within 0.2 mm of 12 mm. What is the longest the bolt can be and still be acceptable?What is the shortest the bolt can be and still be acceptable?

Which value of x is in the solution set of the inequality -2(x-5)<4

Find the distance between the points.(1, 6, 3), (-5, 3, 7)

Find the midpoint of the segment with these endpoint (4,6),(9,3)

Manufactured bolts can’t be too long or too short or they might not fit where they need to. Help determine which bolts will work and which won’t. Show your work for all steps.A machine makes bolts that are 12 mm long. The bolts are considered acceptable if they are within 0.2 mm of 12 mm. What is the longest the bolt can be and still be acceptable?What is the shortest the bolt can be and still be acceptable?

Which value of x is in the solution set of the inequality -2(x-5)<4

Find the distance between the points.(1, 6, 3), (-5, 3, 7)

Find the midpoint of the segment with these endpoint (4,6),(9,3)

$

**Answer: 1902.36**

**Step-by-step explanation:**

When interest is compounded monthly , the formula to find the accumulated amount is

, where P = principal value , r = rate of interest , t = time.

As per given,

r= 24% = 0.24

P= $1500

t= 1 year

Put all value in formula , we get

**Hence, he need to pay $1902.36.**

**Answer:**

In order to find the p value we can use the following code in excel:

"=1-CHISQ.DIST(51.2,40,TRUE)"

If we compare the p value and the significance level provided 0.05 we see that so on this case we have enough evidence in order to FAIL reject the null hypothesis at the significance level provided. And that means that the population variance is not significantly higher than 0.02, so there is no a violation of the specifications.

**Step-by-step explanation:**

**Notation and previous concepts**

A** chi-square test** is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

represent the sample size

represent the confidence level

represent the sample variance obtained

represent the value that we want to test

**Null and alternative hypothesis**

On this case we want to check if the population variance specification is higher than the standard of 0.02, so the system of hypothesis would be:

Null Hypothesis:

Alternative hypothesis:

**Calculate the statistic **

For this test we can use the following statistic:

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

**Calculate the p value**

In order to calculate the p value we need to have in count the degrees of freedom , on this case . And since is a right tailed test the p value would be given by:

In order to find the p value we can use the following code in excel:

"=1-CHISQ.DIST(51.2,40,TRUE)"

**Conclusion**

If we compare the p value and the significance level provided 0.05 we see that so on this case we have enough evidence in order to FAIL reject the null hypothesis at the significance level provided. And that means that the population variance is not significantly higher than 0.02, so there is no a violation of the specifications.

$0.30 per pound

$0.50 per pound

$100.00 per pound

The owner of the construction company paid A)** $0.05 per pound** for the cement.

To figure out how much the owner of the construction company paid per pound, we need to convert tons to pounds. We know that 1 ton is equal to 2,000 pounds, so 6 tons is equal to **6 * 2,000 = 12,000 pounds.** Now we can calculate the price per pound by dividing the total cost of $600 by the number of pounds, which is $600 / 12,000 = $0.05 per pound.

#SPJ2

**Answer: $100.00 per pound**

**Answer:**

**Step-by-step explanation:**

We can form a right triangle where the distance between the ranger's current position and fire is the hypotenuse of the triangle. In a right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse.

Therefore, we have:

, where is the distance between the base of the tower and the fire.

Solving, we get:

**Answer:**

**Step-by-step explanation:**

The **point slope form** of the equation of a line is given as:

The **slope-intercept form** of the equation of a line is given as:

where: m=slope, b=y-intercept.

To convert from the point slope form to slope intercept form, follow these steps:

Step 1: Distribute the right hand side

Step 2: Isolate the y variable

This is the slope-intercept form. We can evaluate

**Answer:**

The slope is -1/2

**Step-by-step explanation:**

-1/2 is a negative slope. Down 1 to the right 2