Be sure to SHOW YOUR WORK!!! Tests submitted with no work will be given a ZERO!!! 1.) You are one of five people who have been hired to mow the lawn at the local college. Each week, the dimensions of the plot you are responsible to mow changes. The college conducts a lottery, and whichever number is drawn, represents the x value. Your plot has a length which is three more than seven times x and the width is four times x minus 2.

a.) What are the dimensions of your mowing plot? Length: ______________________________________ Width: ______________________________________

b.) What is the area of your plot (remember area = length x width)? Area: _________________________________________

c.) If x = 10 meters, how many square meters is your plot? (show steps)Area: _________________________________________

2.) Factor by grouping: xy− 4y + 7x − 28

Answer:

yessirrr

Step-by-step explanation:

1. They are all 100 degrees

2. They are once again all 150 degrees

Answer:

I got 41000 cell phones.

Step-by-step explanation:

Step 1: I figured out the amount of each workers from 90

US Sock Production: 18 workers

Thailand Sock Production: 15 workers

US Cell Production: 27 workers

Thailand Cell Production: 30 workers

Step 2: I adjusted the workers amounts to the question's changes

US Sock Production: 18 - 10 = 8 workers

Thailand Sock Productions: 18 + 15 = 33 workers

US Cell Production: 27 + 10 = 37 workers

Thailand Cell Production: 30 - 18 = 12 workers

Step 3: Find the total amount of cell phones produced

4(1000) + 37(1000) = 41000 cell phones

*12/3 = 4 because 3 workers are needed to make 1000 cell phones

The area of the resulting slick is 1. 5 μm²

The formula for area of a cube is expressed as;

Area = 6 a²

Where,

a = length of its side

From the information given, we have that;

a = 0.50 μm

Substitute into the formula

Area = 6 × (0.50)²

Area = 6 × 0. 25

Area = 1. 5 μm²

Thus, the area of the resulting slick is 1. 5 μm²

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The distance that she runs from one corner of the field to another is given as follows:

147.1 yards.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

The distance in this problem is the diagonal of a rectangle, which is the hypotenuse of a right triangle in which the length and the width are the sides, hence:

d² = 85² + 120²

d = sqrt(85² + 120²)

d = 147.1 yards.

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Answer:

A

Step-by-step explanation:

Millers car gets 45 miles to the gallon, as 1x45=45. The answer can be solved by dividing the number of miles traveled by the number of gallons used, and the first option is the only one that has a value of over 45.

Answer:

35.3 ft (nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

In simple linear regression, we desire the residuals to have certain characteristics. Specifically, we want the residuals to be:

Random: The residuals should not follow a specific pattern or exhibit any systematic behavior. Random residuals indicate that the model captures the underlying relationship between the variables adequately.

1. Normally distributed: The residuals should follow a normal distribution. This assumption allows for the use of statistical inference and hypothesis testing techniques based on normality.

2. Zero mean: The average of the residuals should be close to zero. A zero mean indicates that, on average, the model is not biased and accurately represents the data.

3. Homoscedastic: The residuals should have constant variance across all levels of the independent variable. Homoscedasticity ensures that the model's performance is consistent throughout the range of values.

By satisfying these criteria, we can ensure that the model is valid, reliable, and provides accurate predictions.

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Answer:

252 square

Step-by-step explanation:

The number  of text messages that  will have to be sent for the cost of a phone plan from the first company to equal the cost of a phone plan from the second company is 175.

We have to formulate and equation and then use the formulated equation to find the number of text messages.

Let c represent charges

Let t represent test messages

c = 13 + 0.12t

c = 20  = 0.08t

Hence,

13 +0.12t = 20 +0.08t

Collect like terms

7 =0.04t

Divide both side by 0.04t

t = 7 / 0.04

t= 175

Therefore 175 is the number of text messages needed.

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The missing angles are

A. = 130 degrees

B. = 55 degrees

C. = 145 degrees

D. = 73 degrees

E. = 43 degrees

F. = 23 degrees

G. = 61 degrees

H. = 90 degrees

I. = 50 degrees

J. = 27 degrees

K. = 25 degrees

Assuming the missing angle in each case is x

A. Angle on a straight line = 180 degree

x + 50 = 180

x = 130 degrees

B. Angle at a point = 360 degrees

209 + 96 + x = 360

x = 360 - 96 - 209

= 55 degrees

C. Angle on a straight line = 180 degree

= 145 degrees

D. Vertical angles are equal, using vertical angle theorem

= 73 degrees

E.  vertical angle theorem

= 43 degrees

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Answer:

C is the answer

Step-by-step explanation:

The correct statement regarding the quadratic function f(x) = (x - 4)(x + 1) is given by:

It is increasing for x < -1 and x > 4.

Considering a concave up quadratic function, with positive leading coefficient, we have that:

In this problem, the function is given by:

f(x) = (x - 4)(x + 1).

The roots are:

Hence the correct statement is:

It is increasing for x < -1 and x > 4.

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Hence, the age of his brother when brain is \(11\) is \(19.\)

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

Brian is \(8\) and his brother is twice his age.

As age of brain is \(8\).

His brother is twices than his age is \(8(2)=16\)

When the age of brain is \(11\) then \(3\) added to his present age.

Then the age of his brother is \(16+3=19\)

Hence, the age of his brother when brain is \(11\) is \(19.\)

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Answer:

0 or 2

Step-by-step explanation:

The number of distinct imaginary roots possible are 2.

The zeros of polynomial refer to the values of the variables present in the polynomial equation for which the polynomial equals 0.

If f(x) is a third degree polynomial then by corollary to the fundamental theorem of algebra , it must have 3 roots.

It as complex roots occurs in pairs, thus there must be even number of complex roots.

So, there is 2 complex distinct complex roots are possible in third degree polynomial.

Corollary to the fundamental theorem states that every polynomial of  degree n>0 has exactly n zeroes.

Therefore, the number of distinct imaginary roots possible are 2.

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Answer: Where is the table?

Step-by-step explanation: i wish i could help but im afraid there isnt a table

Answer:

x=-5

Step-by-step explanation:

x+2=-3

x+2-2=-3-2

x=-5

im in algebra two so you can trust my answer. happy holidays and stay safe!

Answer:

C. $883.91

Step-by-step explanation:

The market price of one such bond is $883.91 if Osceola County bonds worth $1,000 are selling at 88.391.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Osceola County bonds worth $1,000 are selling at 88.391

Market price = 1000 × 88.391/100

= $883.91

Thus, the market price of one such bond is $883.91 if Osceola County bonds worth $1,000 are selling at 88.391.

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If the perimeter of the train ticket is 60 centimeters and it's length is 17 centimeter long it's height is 13 centimeter

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

To find the perimeter of a rectangle we add all this sides together. This means that the perimeter of a rectangle is given as ;

P = l+l+w+w

P= 2(l+w)

60 = 2( 17+w)

60 = 2( 17+w)

17+w= 60/2

17+ w = 30

w = 30-17

w = 13cm

Therefore the height of the train ticket is 13cm

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the arc length indicated by the bolded arc with a radius of 13 inches and a central angle of 30 degrees is (13π/6) inches.

To find the arc length indicated by the bolded arc with a radius of 13 inches and a central angle of 30 degrees, follow these steps:

Convert the central angle to radians: Since there are 360 degrees in a full circle and 2π radians in a full circle, you can use the conversion factor (π/180) to convert the central angle from degrees to radians. So, 30 degrees * (π/180) = (30π/180) = (π/6) radians.

Calculate the arc length using the formula: Arc length (L) = radius (r) * central angle (θ), where r is the radius and θ is the central angle in radians. In this case, r = 13 inches and θ = π/6 radians.

Substitute the values into the formula: L = 13 * (π/6)

Solve for L: L = (13π/6)

Simplify the fraction: L = (13π/6) inches

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Answer:

\(5^{y+1}=5k\)

Step-by-step explanation:

Apply the exponent rule  \(a^{b+c}=a^b \cdot a^c\):

\(\implies 5^{y+1}=5^y \cdot 5^1=5 \cdot 5^y\)

If \(5^y = k\), then

\(\implies 5 \cdot 5^y=5k\)

Answer:

4

Step-by-step explanation:

oim pretty sure because when you mutiply, u are supposed to add the exponents and 3 + 4 = 7; hope this is correct

Answer:

sure I don't know how someone could help you if there's no question asked about what you need help with.

The inequality and the maximum possible width are 12w  ≥ 132 and 11 feet respectively

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g 2x > 4

If the room is 12 feet long and  Tom had enough paint to cover an area of 132 square feet. This implies Tom had paint that can cover greater or equal to 132 square feet of area. Thus:

L x w ≥ A

where l = 12 feet, A = 132 square feet

12w  ≥ 132    (This is the inequality)

To solve for width:

12w  ≥ 132

w ≥ 132 /12

w ≥ 11 feet

Therefore, the inequality is 12w  ≥ 132 and the maximum possible width is  11 feet

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Answer:

Im not entirely sure but I think its C. 7 to 9

Answer:

Step-by-step explanation:

Multiply by x^2 on both sides

9x^2+27x+8=0

Factor.

The answers are -1/3, -8/3

Answer:

Mean is 87.5.

Mode is 90.

Step-by-step explanation:

Part A:

Mean means the average.

So let's start adding up

70+70+80+80+80+80+90+90+90+90+90+90+100+100+100+100=1400

There are 16 test scores.

So divide 1400 by 16 to get the average.

1400/16 = 87.5

The mean is 87.5.

Part B:

Mode means the number that repeats the most. That's 90. 90 is the mode.

Using sampling concepts, it is found that a sample that involves an equal proportion of boys and girls is representative of the population.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

The students of the seventh grade can be divided into boys and girls, hence, a sample that involves an equal proportion of boys and girls is representative of the population.

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The total number of fish in the entire sampling area is 600

Sampling:

The process of selecting the group that you will actually collect data from in your research is called sampling.

Given,

Consider a case where 400 fish are tagged and released during a first outing. During a second outing in the same area, 400 fish are again caught and released, of which half are already tagged.

Here we need to find the total number of fish in the entire sampling area.

Let us consider N be the number of fish in the entire sampling area.

While looking through the given question,

We have identified the following,

Number of fish tagged = 400

Next time number of fish caught = 400

We know the half of them are tagged, so the untagged fishes are

=> 400/2

=> 200

Therefore, the total number of fishes is

=> 400 + 200

=> 600

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How do I subtract a fraction from a whole number? Take the LCM of denominator of both the fractions (the denominator of whole number is one). Then, in both the numbers divide the LCM by the denominator and multiply the result by the numerator. Subtract the numbers in numerators and you will get your answer.