When determining slope, data points do not usually fall within a straight line, so you need to draw a _____ line, with as many points above and below the line as possible.
accurate
precise
best fit
correct

Answer:

2.11 cm

Step-by-step explanation:

As you can see in the picture I put the sides in the trapezoid. Now, let's use the area's formula:

A = [tex]\frac{(B+b)*h}{2}[/tex]

where B is the Largest parallel side, b the smallest parallel side and h is the height.

Now,

20 =  [tex]\frac{(6z-1+2z+3)*z}{2}[/tex]

20 =  [tex]\frac{(8z^{2}+2z}{2}[/tex]

20 = [tex]4z^{2}+z[/tex]

[tex]4z^{2}+z-20=0[/tex]

Then, we use the cuadratic formula z= [tex]\frac{-b+-\sqrt{b^{2}-4ac} }{2a}[/tex] where a=4, b=1 and c=-20.

z= [tex]\frac{-1+-\sqrt{1-4(4)(-20)} }{8}[/tex]

z =  [tex]\frac{-1+-\sqrt{1+320} }{8}[/tex]

z =  [tex]\frac{-1+-\sqrt{1+320} }{8}[/tex]

z =  [tex]\frac{-1+-17.91}{8}[/tex]

As we are searching lenght we choose the positive z value

z =  [tex]\frac{-1+17.91}{8}[/tex]

z=  [tex]\frac{16.91}{8}[/tex]

z =  2.11 cm.

Answer:

285.2 miles per day.

Step-by-step explanation:

We have been given that a trip from New York to Seattle is 2852.1 miles. A family wants to make the drive in ten days.

To find the distance traveled by the family each day, we will divide total distance by 10 as:

[tex]\text{Distance traveled by the family each day}=\frac{2852.1\text{ miles}}{\text{ 10 days}}[/tex]

[tex]\text{Distance traveled by the family each day}=\frac{285.21\text{ miles}}{\text{day}}[/tex]

[tex]\text{Distance traveled by the family each day}\approx \frac{285.2\text{ miles}}{\text{day}}[/tex]

Therefore, the family will drive 285.2 miles per day.

The length of a leg of a right triangle is 6 feet.

Used the concept of Pythagoras's theorem states,

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that,

In a triangle, the other leg is 8 feet long and the hypotenuse is 10 feet long.

Let us assume that,

the length of a leg of a right triangle = x

Hence by using Pythagoras's theorem,

10² = 8² + x²

100 = 64 + x²

100 - 64 = x²

36 = x²

x² =36

x = √36

x = 6

Therefore, the length of the leg is 6 feet.

To learn more about the Pythagoras theorem visit:

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Answer:

d. Legal Responsibility

Step-by-step explanation:

When purchasing auto insurance, "full coverage" insurance will include:

Collision coverage;

Bodily Injury coverage;

Property damage coverage;

and Comprehensive coverage.

Legal Responsibility is not one of these major types.

Legal Responsibility is not considered as the component of auto insurance because auto insurance only consists of collision, bodily injury, medical payment or personal injury protection and property damage liability. Therefore option (d) is correct.

Further Explanation:

Auto Insurance: It is a contract between two parties of which is the insurer, and the other one is insured. An insurer is a person who agrees to pay the insured in any unforeseen circumstances like accidents, thefts, property damage, etc. In case of auto insurance, the insurance company takes the responsibility of all the damages which are done to the holder of the auto or the auto, but it does not take the responsibility of any legal damage to the insured.

Learn more:

1.   Learn more about health care insurance

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2.      Learn more about the insurance rules

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3.      Learn more about the insurance cover

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Answer details:

Grade: Senior School

Subject: Business Studies

Chapter: Insurance

Keywords: Insurance, collision, bodily injury, insurance claims, legal responsibility, property damage, types of auto insurance, auto insurance, the insurance company, responsibility, damages, holder of the auto, legal damage to the insured, basic type of auto insurance, contract, between two parties, insurer, who agrees to pay, the insured.

Final answer:

To find the number of terms in the arithmetic sequence 9, 2, −5, ..., −187, the formula for the nth term of an arithmetic sequence is used with the first term a1, common difference d, and the last term an. By solving an = a1 + (n - 1)*d for n, it is found that there are 29 terms in the sequence.

Explanation:

To determine how many terms are in the arithmetic sequence 9, 2, −5, ..., −187, we use the formula for the nth term of an arithmetic sequence:
an = a1 + (n - 1)*d where,
a1 is the first term,
d is the common difference, and
n is the number of terms.

For the given sequence:

a1 = 9 (the first term)

d = 2 - 9 = -7 (the common difference)

an = −187 (the last term)

We need to find the value of n that satisfies:

−187 = 9 + (n - 1)*(-7)

Solving for n gives us:

−187 - 9 = (n - 1)*(-7)

n - 1 = 28/7

n = 28 + 1

n = 28 + 1

n = 29

Therefore, there are 29 terms in the arithmetic sequence.

Answer:

Step-by-step explanation:

2

Answer:

7

Step-by-step explanation:

This is a math riddle in which you can only discover the answer by cracking the given equations and each answer has the corresponding letters. Nonetheless, the solution to this is the scientist created an exact duplicate of himself because HE WAS JUST CLONING AROUND

Answer:

he was just cloning around!

Step-by-step explanation:

it's a riddle :)

The company's employees volunteer an average of 480 hours per week in total, and each employee volunteers an average of 3.75 hours per week.

To calculate the average number of hours the employees of a company volunteer per week, you would divide the total hours volunteered by the number of weeks. So, the calculation for the average weekly volunteer hours for the entire company is 12,480 hours divided by 26 weeks, which is 480 hours per week.

To find out the average number of hours each employee volunteers per week, divide the weekly volunteer hours by the number of employees. Using the previous calculation of 480 hours per week for the entire company and dividing by 128 employees, you get an average of 3.75 hours per employee per week.

The most amount she could have charged for each bracelet is:

                            $ 7

It is given that:

Lana earned $49 on Friday $42 on Saturday,and $21 on Sunday selling bracelets.

Also, she sold each bracelet for the same price.

This means that if the maximum cost of each bracelet will be the greatest common divisor i.e. G.C.D. of the amount she earned each day.

which is G.C.D(49,42,21)=7

Hence, the answer is: $ 7

To find the number of milliseconds in a year, multiply the number of milliseconds in a day by the number of days in a year: 86,400 seconds/day * 365 days/year * 1,000 milliseconds/second = 31,536,000,000 milliseconds/year.

To find the number of milliseconds in a year, we need to multiply the number of milliseconds in a day by the number of days in a year. There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute. So, there are 24 * 60 * 60 = 86,400 seconds in a day. And since there are 365 days in a year, we can calculate the number of milliseconds in a year as:

86,400 seconds/day * 365 days/year * 1,000 milliseconds/second = 31,536,000,000 milliseconds/year