Write the equation in standard form for the circle x^2 + y^2 + 16x + 28 = 0.

Answer:

( x + 8 ) ^2+ y^2= 36

Step-by-step explanation:

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find the missing lengths of the sides

Which object has the greatest inertia?
1 lb of butter


2 lb bag of sugar


5 lb bag of apples


10 lb bag of potatoes

Matt started his own company where he rents used textbooks to struggling college students at multiple Universities for a low rate. Over the last few years Matt has been able to collect a total of 250 textbooks for his business at Temple University. Unfortunately, students can be irresponsible and lose their textbook rental causing a loss for Matt. Based on past information Matt has collected the data below for Temple University based on losses per semester. #
of losses per semester Probability
0 0.08
5 0.16
10 0.28
15 0.32
20 0.14
25 0.02
a. Calculate the expected frequency of losses per semester. (2 points)
b. Calculated the variance. (2 points)
Now assume that when losses do occur, they are non-random and losses equal $60.
c. Calculate the expected losses per semester? (2 points)
d. Calculate the expected losses for ALL textbooks per semester. (1 point)
e. Calculate the expected losses for ALL textbooks for the next 2 school years (4 semesters). (1 point)

Find the like terms in the following.​

Calculate the current in an Inductor if the energy stored is 240J and the Inductance is 24H.​

6
Triangle MNP and triangle JKL are similar right triangles.
K к
L
р
Which proportion can be used to show that the slope of IL is equal to the slope of MP?
A 0 - (-7)
4- (-4)
-4 - (-10)
8- (-1)
C 0 - (-4)
4- (-7)
-4-(-1)
8- (-10)
B
0 - 4
4-(-7)
--4-8
- 1 - (-10)
D4=(27) = -1-(-10)
4 - 8

A triangle has side lengths of 4cm, 6cm, and 11cm. Is the triangle acute, obtuse, or right?

The factors of a polynomial are (x + 3x - 2)(x+ 7) The polynomial has been graphed. How do the zeros relate to the factors?

A. The zero is the sum of the numbers inside the parenthesis

B. There is no relationship between the factors and the zeros.

C. The number inside each parenthesis are the zeros of the equation.

D. If you set each factor equal to 0 and solved you would get the zeros.​

Henry bought a pair of shoes that were on sale for 25% off. The sale price of the shoes was $42. What was the original price?

You may not know this, but you are home to a colony of bacteria. You may also not know it, but the health and happiness of that colony of bacteria have a direct effect on your own health and happiness. In short, if we are what we eat, then we may need to make bacteria part of our balanced breakfast.

Microbes are single-celled organisms. They are literally everywhere. Microbes are in the air we breathe, on the surfaces of everything we touch, and inside our bodies. Microbes can be bacteria, fungi, protozoa, or viruses.

A few years ago, scientists began studying the microbial life of our stomachs. Called The American Gut project, this study aims to understand the life of the bacteria that live in our digestive system. According to an article in the New York Times by Michael Pollan, the goal is to gather information on the types and amounts of bacteria in the human gut. Scientists want to describe what a normal healthy microbe and human relationship should look like inside our digestive system. While the research is still in the very early stages, scientists have learned the following:

The strongest and healthiest microbe systems are those with a lot of variety.
The guts of Americans have much less variety than the guts of other populations.
Diets that include a lot of processed foods support less variation in bacteria.
Studying the makeup of our individual bacteria communities will help scientists get a better idea of which bacteria help human bodies. We used to think that bacteria in our bodies were invaders. This new research suggests that bacteria are part of the protective army that keeps us healthy. In fact, our bodies have a hard time recovering from medicines like antibiotics because they disrupt the balance of helpful bacteria. It seems clear from the early evidence that living with bacteria helps us resist invasion from things that make us sick.

Scientists have also learned that microbes might help our guts do things like process vitamins and important nutrients. Some microbes may help us deal with stress, or adapt to changes. Furthermore, there may come a time—in your lifetime—when illness is treated not with antibiotics, but with extra-special microbes that help us defend our bodies from illness.









Based on "A Brief Study of Guts," which best summarizes the goal of new research into bacteria and microbes?
A. To collect a wide variety of microbes in all mammals including humans
B. To find ways to increase our intake of helpful microbes
C. To find evidence to decrease the use of antibacterial soap
D. To understand how microbes populate the human body and what benefit they provide

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Solve the simultaneous equations y=x-2 and y=3x+5

For males to enter the United States Air Force Academy, located in Colorado
Springs, CO, they must be at least 17 but less than 23 years of age. Their standing height
must be not less than 60 inches and not greater than 80 inches. Graph all possible
heights and ages for eligible male candidates. Give three possible combinations.

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Choose the correct answer.

find the value of v in rectangle

An employee's salary,
S
(
n
)
, in dollars, at a company is a function of the number of years,
n
, that the employee has worked at the company.

The relationship between
n
and
S
(
n
)
is shown in the table below.

har says that ¼ of a cereal bar is larger than ⅓ of the cereal bar. Is he correct? Explain your thinking/reasoning.

Question: Write a word problem that involves terms and coefficients. Discuss how you would go about solving this problem.

9.85xs;s=4
help me. please

I need some help with this

Supplementary angles, please help! 1,2, and 3

(9x10^10) - (4x10^10)

Which of the lines below has a negative slope?
A
B
6
-5
15
6
10
5
D
5
5

Eber bought a new pair of baseball cleats for $64.95. The sales
tax is 5.5%. What is the total cost that Eber will pay?

I need help with this

Diana is training for a marathon. The total miles she runs varies from week to week but follows the pattern described in the table. At the beginning of her training, Diana limited her distance so that she did not run more than 10 miles during the first three days of the week. Write an inequality you can use to find the possible distances Diana may have run on Monday during the first week of training. Solve the inequality Describe the reasonable solutions