If x+y=11 and xy=15, find the value of x^2 + y^2

Answers

Answer 1

There is actually some tactics to this. I tried to find x and y first but they are very messy numbers but...

We know...

(x+y)²=x²+2xy+y²

In this case, (x+y)² = 11² = 121.

So, x²+2xy+y²=121

We also know that xy=15 and furthermore that 2xy=30.

x²+y² = 121-30 = 91

answer: 91

Answer 2

The value of x^2 + y^2 is 91.

To find the value of x^2 + y^2 given that x+y=11 and xy=15, we can use algebraic identities. We will use the fact that (x+y)^2 = x^2 + 2xy + y^2. We know that x+y=11, so (x+y)^2 = 11^2 = 121. Also given is xy=15, which we'll use in the identity mentioned.

Now, let's substitute the values into the identity:

(x+y)^2 = x^2 + 2xy + y^2

121 = x^2 + 2(15) + y^2

121 = x^2 + 30 + y^2

121 - 30 = x^2 + y^2

91 = x^2 + y^2


Related Questions

Plz help: You have asked your parents if you can have some money to decorate your bedroom for Christmas. You want to put up a little Christmas tree and some ornaments and some lights. They give you $10. You go to the store and find an incredible deal. You buy a tiny fake tree, some lights and a box of ornaments. You pay with the 10$ your parents gave you and the cashier gives you back three bills of the same denomination and two coins in change. (you receive no dollar coins and no half-dollars). How much did you spend? There are 10 possible answers

1. amount spent:____________ Change given (bills/coins):_________

Answers

Answer: ALL THE AMOUNT SPEND ARE 3 1$ bills

1. Amount spent: 6.98

Change:  2- penny

2. Amount Spent: 6.94

Change:   Penny  Nickel

3. Amount Spent: 6.9

Change: 2 Nickels

4. Amount Spent: 6.89

Change: Penny, Dime

5. Amount Spent: 6.85

Change: Nickel Dime

6. Amount Spent: 6.74

Change: Penny Quarter

7. Amount Spent: 6.50

Change: 2 Quarters

8. Amount Spent: 6.80

Change: Nickel Nickel

9. Amount Spent: 6.70

Change: Quarter Dime

10. Amount Spent: 6.65

Change: Quarter Nickel

Step-by-step explanation:

Pweeeese gimme brainliest answer

Final answer:

To find out how much you spent, subtract the change given from the amount your parents gave you.

Explanation:

To find out how much you spent, you need to subtract the change given from the amount your parents gave you. Since the cashier gave you three bills and two coins as change, the total value of the change given is equal to the amount you spent. Since you received no dollar coins and no half-dollars, the change given consists of only bills and coins of smaller denominations. Therefore, the amount you spent is equal to the value of the change given.

What conclusion can you make based on the data/results you collect

Answers

Final answer:

To draw a conclusion from collected data, examine the hypothesis compared with the results observed. A careful analysis should lead to generalizations backed by evidence. Presenting and summarizing information thoroughly is vital for conclusions and future inquiries.

Explanation:

To draw a conclusion based on the data collected, one must first analyze the data carefully. For example, in an experiment assessing the number of deformed frogs in a non-polluted pond, the data should be compared to the initial hypothesis. If the data shows a significant number of deformed frogs in pristine conditions, this could imply other factors contributing to deformities besides pollution.

In language use among students, if the evidence suggests particular trends or patterns, you can make generalizations about these observations. If your findings are different from the initial answer in the 'Collect the Data' section, it might be due to various reasons such as experimental error or an incomplete hypothesis. When presenting your findings, it is critical to incorporate all the collected information which solidifies your conclusion.

Lastly, when summarizing information about a person's experience, it's necessary to incorporate all relevant data before settling on a conclusion. Afterward, forming a question for further research can open new avenues for exploration.

At a zoo, youth tickets cost $5 and adult tickets cost $9. A group that purchased x youth tickets and y adult tickets spent $90 on tickets.

What is the domain of the relationship?

A.
x ≤ 5
B.
0 ≤ x ≤ 5
C.
0 ≤ x ≤ 18
D.
x ≤ 18

Answers

Answer:

Each person buys there own so there are elderly costs.

Step-by-step explanation:

A.

x ≤ 5

B.

0 ≤ x ≤ 5

C.

0 ≤ x ≤ 18

D.

x ≤ 18

Answer:

The answer is option C.

0 <= x <= 18

Step-by-step explanation:

To find the domain of the relationship in respect to x, we need to find the value of x.

Since;

youth tickets = $5 and

Adult tickets = $9.

Purchased x youth tickets and y adult tickets cost $90

Purchased x youth tickets and y adult tickets = 5x + 9y = 90

5x = 90 - 9y

to find x we divide both side by 5

x = (90-9y)/5

x = 90/5 - 9y/5

x = 18 - 9y/5

Note that in this equation x and y can only be positive value because that are representing number of legible item (ticket)

Therefore:

X can only fall between 0 and 18.

0 <= x <= 18

crackers contain 12 calories each and cookies contain 52 calories each. if you eat 5 crackers and 2 cookies how many calories have u consumed in all?

Answers

Answer:

You have consumed 164 calories in total

Step-by-step explanation:

12 calories × 5 crackers = 60 calories

52 calories × 2 cookies = 104 calories

104 + 60 = 164 calories in total

12 x 5 is 60
52 x 2 is 104
Now you just add the two

A drawing is 12 inches long by 9 inches wide. If the new drawing is 8 inches long, how wide will it be?

Answers

If the first drawing is 12 inches long and 9 inches wide then the second one is 8 inches long and 5 inches wide because if you look closely first drawing is 12 inch by 9 inch 9 is three less than 12 so if the problem is 8 inch long 3 less than that is 5 inches so it would have to be 8 inches long by 5 inches wide

If James borrows $4,200 to pay his college tuition. He signs a 5 year simple interest loan. If monthly payments are $78.40, what is the interest rate on the loan?

Answers

Answer:

The rate of interest applied on the loan is 2.4%

Step-by-step explanation:

Given as :

The principal amount borrows as loan = p = $4200

The time period of loan = t = 5 years = 5 × 12 = 60 months

The monthly payment for loan = $78.40

So, The payment for 60 months = $78.40 × 60 = $4704

i.e Amount after 60 months = $4704

Let The rate of interest = r at simple interest

Now, From Simple Interest method

Simple interest = [tex]\dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}[/tex]

Or, s.i = [tex]\dfrac{\textrm p\times \textrm r\times \textrm t}{100}[/tex]

Or, (Amount - principal) = [tex]\dfrac{\textrm p\times \textrm r\times \textrm t}{100}[/tex]

Or, $4704 - $4200 = [tex]\dfrac{\textrm 4200\times \textrm r\times \textrm 5}{100}[/tex]

Or,504 × 100 = 21,000 × r

∴, r = [tex]\dfrac{50400}{21000}[/tex]

i.e r = 2.4

So, The rate of interest = r = 2.4%

Hence, The rate of interest applied on the loan is 2.4% Answer

What is the General form of the parabola of (y-3)^2=6(x+8)

Answers

Answer:

x = 1.5[tex]t^{2}[/tex]  , y = 3 + 2at.

Step-by-step explanation:

For the parabola [tex]Y^{2}[/tex] = 4aX ,

General form will be

(X = a[tex]t^{2}[/tex] , Y = 2at) ,

Thus , for the parabola [tex](y-3)^{2}[/tex] = 6(x +8)

Here , a = 1.5 and Y from the above equation should be substituted by y - 3 and X must be substituted by x + 8. After substitution of the same we can  use the general equation formula for this parabola also.

Thus , general equation comes out to be :-

x + 8 = 1.5[tex]t^{2}[/tex] , y - 3 = 2at

x = 1.5[tex]t^{2}[/tex]  , y = 3 + 2at.


A class is made up of 12 boys and 13 girls. What fraction of the class is boys?

Answers

Answer:

12/25 of the class are boys.

Step-by-step explanation:

12+13=25

12/25

Answer:

12/25, I hope this helped!

Which of the following shows the expression in factored form x2 + 2x - 8

A) (x-2)(x+4)
B) (x+2)(x+4)
C) (x-2)(x+8)
D) (x+1)(x-8)

Answers

Answer:

A) (x-2)(x+4)

Step-by-step explanation:

Amy has $1,000 in a savings account at the beginning of the fall. She wants to have at least $500 in the account by the end of the fall. She withdraws $100 a week for living expenses. Write an inequality for the number of weeks Amy can withdraw money, and solve.
A) 1000 - 100w ≤ 500; w ≥ 6
B) 1000 + 100w ≤ 500; w ≤ 5
C) 1000 + 100w ≥ 500; w ≥ 6
D) 1000 - 100w ≥ 500; w ≤ 5

Answers

Answer:

D. [tex]1000 - 100w \geq 500; w \leq 5[/tex]

Step-by-step explanation:

Given:

Initial amount in the bank = $1000

Money withdrawn each week = $100

Final amount should be at least $500.

Now, let the number of weeks the money is withdrawn be 'w'.

Therefore,

Money withdrawn in 'w' weeks = [tex]\textrm{Money withdrawn each week}\times w[/tex]

Total Money withdrawn in 'w' weeks = [tex]100w[/tex]

Now, final amount after 'w' weeks is equal to the difference between initial amount and total withdrawal amount. Therefore,

Final amount = Initial amount - Total withdrawal amount

Final amount = [tex]1000 - 100w[/tex]

Now, final amount must be greater than or equal to $500. So,

[tex]\textrm{Final amount}\geq500\\\\1000-100w\geq500[/tex]

Therefore, the  inequality that represents the inequality for the number of weeks Amy can withdraw money is:

[tex]1000-100w\geq500[/tex]

Now, let us solve for 'w'.

Adding -500 and 100w both sides, we get:

[tex]1000-500-100w+100w\geq500-500+100w\\\\500\geq100w\\\\\textrm{The above inequality is reversed when taking 100w on the left side}\\\\100w\leq500\\\\w\leq\frac{500}{100}\\\\\therefore w\leq5[/tex]

Therefore, the correct option is (D).

Which statement is correct? The range of the graph is all real numbers less than or equal to 0. The domain of the graph is all real numbers less than or equal to 0. The domain and range of the graph are the same. The range of the graph is all real numbers.

Answers

Answer:

Option B on edge 2020 guys

Step-by-step explanation:

:)




please help 10 point + brainlyiest = one big thank u
which of these is the algebraic expression for "five more than the product of ten and some number?
10 + 5x
5 + 10 + x
10x + 5
5 + 10 ÷ x

Answers

10x+5 is the awnser I think

what is y=-4/3x+2 in point slope form?

Answers

Answer:

[tex]y-2=-\frac{4}{3}(x-0)[/tex]

Step-by-step explanation:

we know that

The equation of the line in point slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]y=-\frac{4}{3}x+2[/tex] ---> equation in slope intercept form

so

Convert to point slope form

subtract 2 both sides

[tex]y-2=-\frac{4}{3}x[/tex]

Rewrite as

[tex]y-2=-\frac{4}{3}(x-0)[/tex]

the slope is [tex]m=-\frac{4}{3}[/tex]

the point is [tex](0,2)[/tex]

15 points!! Please help! please explain how you got you answers

Answers

We observe that a line will pass through 3 points, but to find a slope we only need two.

We see that it passes through points (assuming the scale of graph is 1 : 1) [tex]P_1(x_1,y_1)=P_1(0,1)[/tex] and [tex]P_2(x_2,y_2)=P_2(2,-1)[/tex].

We can use slope formula that applies for any line and produce the same slope for any two different points on the line

[tex]m=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-1}{2-0}=-1[/tex]

So the slope is -1 also it intersects y-axis at [tex]n=1[/tex] so the general form of the linear function is

[tex]f(x)=mx+n[/tex]

That is in your case

[tex]\boxed{f(x)=-x+1}[/tex]

Hope this helps.

Sam saves 76 tickets every time he goes to the arcade. He needs a total of 4712 tickets to receive a stuffed bear for his girlfriend. So far, he has earned 456 tickets. How many more times will Sam have to go to the arcade to earn the additional points he needs?

Answers

Answer:

Sam has to 56 times more to the arcade to earn additional points he need.

Step-by-step explanation:

Given:

Number of tickets already earned = 456

Number of tickets saved each time visit at arcade = 76

Total Number of tickets required to buy Stuffed bear = 4712

We need to find number of times he need to go to arcade to earn the additional points.

Solution:

Let Number of times he need to visit arcade be 'x'.

Now we know;

Number of tickets already earned plus Number of tickets saved each time visit at arcade multiplied by Number of times he need to visit arcade equals to Total Number of tickets required.

Framing in equation form we get;

[tex]456+76x = 4712[/tex]

Now Solving the equation we get;

Subtracting both side by 456 we get;

[tex]456+76x=4712-456\\\\76x= 4256[/tex]

Now Dividing both side by 76 we get;

[tex]\frac{76x}{76} = \frac{4256}{76} \\\\x=56[/tex]

Hence, Sam has to 56 times more to the arcade to earn additional points he need.

3a²b ÷ 2ab what is the result ?​

Answers

Answer:3/2a

Step-by-step explanation:

Answer:

3 a /2

Step-by-step explanation:

3 a² b ÷ 2 a b

3 a / 2

A college bookstore charges $60 for a yearly membership. The first book is free with membership and any book after that costs $7.60 including tax. How much money, m, does a student spend after buying b books and a yearly membership.

Answers

Answer:

The equation representing Total money spend being as a member is [tex]m = 60+7.6(b-1)[/tex]

Step-by-step explanation:

Given:

Memberships charges = $60

Cost of 1 book = $7.60

Let number of books be 'b'.

We need to find Total money 'm' spend yearly on buying books after becoming member.

Now we know that 1 book is free for a member.

Total money spend 'm' will be equal to Sum Memberships charges  and Cost of 1 book multiplied by number of books bought yearly minus 1.

Framing in equation form we get;

[tex]m = 60+7.6(b-1)[/tex]

Hence The equation representing Total money spend being as a member is [tex]m = 60+7.6(b-1)[/tex]

Therefore, the final expression for the total cost [tex]\( m \)[/tex] as a function of the number of booksx [tex]\( m \)[/tex] is:

[tex]\[ \boxed{m = \frac{262 + 38b}{5}} \][/tex]

The total cost \( m \) that a student spends after buying \( b \) books and a yearly membership can be calculated using the following formula:

[tex]\[ m = \text{Cost of membership} + (\text{Number of books} - 1) \times \text{Cost per book} \][/tex]

Given that the yearly membership costs $60 and each book after the first free book costs $7.60, we can substitute these values into the formula:

[tex]\[ m = \$60 + (b - 1) \times \$7.60 \][/tex]

Now, let's simplify the expression by converting $7.60 to a fraction to avoid decimals in our calculation:

[tex]\[ m = \$60 + (b - 1) \times \frac{760}{100} \][/tex]

[tex]\[ m = \$60 + (b - 1) \times \frac{38}{5} \][/tex]

[tex]\[ m = \$60 + \frac{38b - 38}{5} \][/tex]

To combine the terms, we need a common denominator, which is 5:

[tex]\[ m = \frac{\$60 \times 5}{5} + \frac{38b - 38}{5} \][/tex]

[tex]\[ m = \frac{300}{5} + \frac{38b - 38}{5} \][/tex]

[tex]\[ m = \frac{300 + 38b - 38}{5} \][/tex]

[tex]\[ m = \frac{262 + 38b}{5} \][/tex]

Each end of a glass prism is a triangle with a height that is 1 inch shorter than twice the base. If the area of the triangle is 60 square inches, how long are the base and height?

Answers

Answer:

Step-by-step explanation:

Let the base = x inches

So, h = 2x - 1

Area of triangle  = 60 square inches

(1/2) * base *height = 60

(1/2) * x * (2x-1) = 60

x *(2x-1) = 60*2

2x² - x = 120

2x² - x - 120 = 0

2x²  - 16x + 15x - 15*8 = 0

2x ( x - 8) + 15 (x -8) = 0

(x-8) (2x + 15 ) = 0

x- 8 = 0      {ignore 2x +1 as it will give negative value}

x = 8

Base = 8 inches

Height = 2*8 - 1 16 - 1 = 15 inches

what is two hundred and eighteen divided by thurty one​

Answers

Hi there! In this problem, two hundred and eighteen divided by thirty one would be 7.032258064516129‬. Like this:

   281 / 31 = 7.032258064516129‬

Hope this answers your question!

(P.S. I could really use Brainliest.....)

Answer:

200+18÷31=200.58062452

200÷31=6.451612903

18÷31=0.5806451613

Simpliftly(-8.5)(-5)( -2)

how do i simplify it​

Answers

Answer:

-85

Step-by-step explanation:

(-8.5)(-5)(-2)

Multiply

(42.5)(-2)

-85

Hope this helps :)

(i wont ask anymore after this)
How many solutions does each equation have? a) 7(2+5v)=3v+14 b) -3 (3-6b)=6b+5 c) 2 (a-2)=2a-4

Answers

Answer:

a) v = 0

b) b = 7 / 6

c) a = any number

Step-by-step explanation:

a)    7(2+5v)=3v+14

     7 x 2 + 7 x 5v = 3v + 14  .... distributive

     14 + 35v = 3v + 14

     35v - 3v = 14 - 14

      32v = 0

      v = 0 ...... only v value can fit  

b) -3 (3-6b)=6b+5

   -9 + 18b = 6b + 5

   18b - 6b = 5 + 9

   12b = 14

    b = 14 / 12 = 7 / 6

c) 2 (a-2)=2a-4

    2a - 4 = 2a - 4

    2a -4 + 4 = 2a -4 + 4

    2a = 2a

     a = a ........ a cab be any number

I need help !!!!!! Please

Answers

Answer:

See explanation

Step-by-step explanation:

         Statement                Reason

1. [tex]\angle M\cong \angle X[/tex]      - Given

2. [tex]\angle N\cong \angle Y[/tex]      - Given

3. [tex]\overline{YO}\cong \overline{NZ}[/tex]    -  Given

4. [tex]\overline{OZ}\cong \overline{OZ}[/tex]    -  Reflexive property

5. [tex]YO=ZN[/tex]     - Definition of congruent segments

6. [tex]YZ=YO+OZ[/tex]    - Segment addition postulate

7. [tex]ON=ZN+OZ[/tex]    - Segment addition postulate

8. [tex]YZ=ZN+OZ[/tex]     - Substitution property

9. [tex]YZ=ON[/tex]     - Substitution property

10. [tex]\triangle MNO\cong \triangle XYZ[/tex]     - AAS postulate

Answer:

What is your gram?

Step-by-step explanation:

Use the net to find the surface area of the square pyramid.
A) 95 ft2
B) 130 ft2
C) 205 ft2
D) 333 ft2

Answers

Answer: D

Step-by-step explanation:

9x9=81 (base)

(14x9) divided by 2= 63 (one triangular face)

63x4=252 (all triangular faces)

81+252= 333ft2

Answer:

the answer is D, i know i am right.

Step-by-step explanation:

Multiplying (-9)(-6)(2)=

Answers

Answer:

108

Step-by-step explanation:

The function A(b) relates the area of a trapezoid with a given height of 12 and
one base length of 9 with the length of its other base.
It takes as input the other base value, and returns as output the area of the
trapezoid.
A(b) = 12.579
Which equation below represents the inverse function B(a), which takes the
trapezoid's area as input and returns as output the length of the othef base?

Answers

Answer:

[tex]B(a)=\frac{a}{6}-9[/tex]

Step-by-step explanation:

see the attached figure , to better understand the problem

we have

[tex]A(b)=12(\frac{b+9}{2})[/tex]

where

A(b) ---> is the trapezoid's area

b ---> is the other base value

Solve the equation for b

That means ----> isolate the variable b

Divide 12 by 2 right side

[tex]A=6(b+9)[/tex]

Divide by 6 both sides

[tex]\frac{A}{6}=b+9[/tex]

subtract 9 both sides

[tex]\frac{A}{6}-9=b[/tex]

Rewrite

[tex]b=\frac{A}{6}-9[/tex]

Convert to function notation

[tex]B(a)=\frac{a}{6}-9[/tex]

Final answer:

The inverse function for the area of a trapezoid with one base of 9 and height of 12 is B(a) = a/6 - 9, which gives the length of the other base when provided with the area of the trapezoid.

Explanation:

The question revolves around finding the inverse function for the function that represents the area of a trapezoid. Given the area function A(b) = 12.579 for a trapezoid with a height of 12 and one base of length 9, we seek the function B(a) which provides the length of the other base when given the trapezoid's area. To derive this, recall that the area of a trapezoid with bases b and c and height h is given by A = (1/2)(b+c)h. Here, b is 9 and h is 12. Hence, A(b) = (1/2)(9+b)(12) = (9+b)(6).

To find B(a), we express b in terms of A: (9+b)(6) = A → b = A/6 - 9. The inverse function is B(a) = a/6 - 9.

Find the value of x.
30
3. 4. 6. 8

Answers

Answer:

x=8

Step-by-step explanation:

BE=1/2(CD) (it's a theorem that you can find in Google)

So you get:

3x=24

x=8

Final answer:

The question lacks sufficient information to solve for x. An equation or context for x is needed to determine its value.

Explanation:

The question seems to lack sufficient information to provide an accurate solution. When asked to find the value of x, usually an equation or expression involving x is given. This question doesn't provide such an equation or a context for solving for x. It is possible that the information got cut off or may have been miss-transcribed. Please specify the given equation or problem involving x and I will be glad to help.

Learn more about Solving for x here:

https://brainly.com/question/32490578

#SPJ2

Which is the same as 73?


CLEAR CHECK

A 7÷13

B 3÷7

C 17 of 3

D 7 divided by 3

Answers

Answer: Neither of them.

Step-by-step explanation: 7 divided by 3 is 2.3. So that's not right.

3 divided by 7 is 0.42. Also incorrect. 17 of 3? What does that mean? 17 percent of 3? I'm not sure but that's not the answer either be cause 17% or 3 is not 73. None of these choices are correct nor do they make sense.

Answer:

D) 7 divided by 3

Step-by-step explanation:

Quaker Oatmeal is a very popular breakfast cereal. If Susan wrapped the entire container without any overlapping paper, what is the minimum amount of paper she will need to wrap the entire container

11cm tall
with a width of 6cm

Answers

263.76 cm is the minimum amount of paper she will need to wrap the entire container.

Step-by-step explanation:

As we know that the equation for surface area of a cylinder,

Surface area of cylinder =  [tex]2\pi r^{2}+2 \pi r h[/tex]

Where,

r - the radius of the cylinder. Here given diameter (D) as 6. So,

          [tex]r=\frac{D}{2}=\frac{6}{2}=3 \mathrm{cm}[/tex]

h - the height of the cylinder (given as 11 cm). The value for pi = 3.14. Now, calculate the surface area of the cylinder as

                     [tex]A=2(3.14)(3)^{2}+2(3.14)(3)(11)[/tex]

                            A = 56.52+ 207.24 = 263.76 cm

Two angle measures in a triangle are 47° and 43°. What type of triangle is it?

acute
obtuse
right
isosceles

Answers

Answer:

It is a right angled triangle

Step-by-step explanation:

Since we know that the angles in a triangle always add up to 180°, we take 180°-47°-43° = 90°, a right angle is 90°, thus we know it is a right angled triangle.

Answer:

it is a right triangle

Step-by-step explanation:

16. Afla numărul necunoscut:
x + 7 = 36
X-9 = 83
X + (13- 8) = 74
a - (14 - 6) = 67
34 - X= 8
82 - x = 9
114​

Answers

Answer:

9

Step-by-step explanation:

4*7=28

zyz hope that helps

Other Questions
entry that has the address of 192.168.101.0 and the wildcard mask of 0.0.0.255. What is the range of IPv4 addresses that will be affected by this ACL? Subjects with a serious illness may be at risk for exploitation since they may be desperate for a possible cure. This is an example ofA. Deferential vulnerabilityB. Therapeutic misconceptionC. Medical VulnerabilityD. Economic vulnerability It's Friday of the first week of school, and Mr. Ruiz's students just finished a fairly intensive literacy lesson. There are about seven minutes left before the class is supposed to leave for lunch. In what way might you recommend he spend the time? a. Tell the children they have earned a break and give them free choice until it's time to line up; he can use the time to catch up on paperwork. b. Begin going over the instructions for the mathematics activity the children will be starting when they return from lunch. c. Try to stretch out the current task to cover the next seven minutes. d. Lead them in a low-pressure but engaging activity, like reading to them or playing a simple game. Please help me I need the answer before tomorrow and Please explain how you got your answer!!! While playing basketball in PE class, 67 kg Johan lost his balance after making a lay-up at 5.4 m/s and collided with the padded wall behind the basket and came to rest in 0.24 seconds. What force acted on his body?A: -1300B: -1500C: -1700D: -1900 In recent times, the value of "currency" as well as "checkable deposits" was about $___________ billion each. Heart rate, respiration, blood pressure and other functions vital to maintain life are controlled by the _____ Sadie and Emma got into conflict over a singing competition. Emma won the last spot in the school's singing group, and Sadie feels jealous and angry. The anger has been building for almost a week. Sadie got on her cell phone and called friends to spread lies about Emma. Sadie dishonestly claims that Emma cheats on everything, always copies Sadie's homework, lies to teachers, and sneaks out at night to meet boys who are druggies. This is an example of: A) cyber-bullying. B) physical bullying. C) social bullying. D) verbal abuse. Which number belongs in the whole numbers area of the diagram?A) 15 B) 1.5 C) 12 D) 7/8 Analyze how the author uses the rhetorical devices of parallelism and diction toconvey the tone of the grapes of wrath Be sure to include specific details from the texts tosupport your answer. On the first day of a marketing campaign, a team sent a total of 14 emails to potential clients. Their goal is to increase the number of emails sent per day by 15 each day. If the team met but did not exceed this goal, how many emails, in total, did it send during the 30 day marketing campaign? 0.105 g of an unknown diprotic acid is titrated with 0.120 M NaOH. The first equivalence point occurred at a volume of 7.00 mL of NaOH added; the second equivalence point occurred at a volume of 14.07 mL of NaOH added. How many moles of NaOH were used to reach the second equivalence point in this diprotic acid titration? Addai Company has provided the following comparative information: 20Y8 20Y7 20Y6 20Y5 20Y4 Net income $273,406 $367,976 $631,176 $884,000 $800,000 Interest expense 616,047 572,003 528,165 495,000 440,000 Income tax expense 31,749 53,560 106,720 160,000 200,000 Total assets (ending balance) 4,417,178 4,124,350 3,732,443 3,338,500 2,750,000Total stockholders equity (ending balance) 3,706,557 3,433,152 3,065,176 2,434,000 1,550,000 Average total assets 4,270,764 3,928,396 3,535,472 3,044,250 2,475,000 Average total stockholders' equity 3,569,855 3,249,164 2,749,588 1,992,000 1,150,000 You have been asked to evaluate the historical performance of the company over the last five years. Selected industry ratios have remained relatively steady at the following levels for the last five years:20Y420Y8Return on total assets 28% Return on stockholders equity 18% Times interest earned 2.7 Ratio of liabilities to stockholders equity 0.4Required:Determine the folllowing:a. Return on total assets:b. Return on stockholders' equity:c. Times interest earned: Answer 1-7 please.... Skippy has a total of $10,000 to split between two investments. One account offers 4% simple interest, and the other account offers 8% simple interest. For tax reasons, he can only earn $500 in interest the entire year. How much money should Skippy invest in each account to earn $500 in interest for the year Now that you have worked through a lot of material that includes these basic patterns, and you have compared grammatically correct and incorrect sentences, write down what you think is a rule that could explain what makes a sentence grammatically correct or not. For example, you might write something like: "verbs always match nouns in number, and they usually come before the noun." In other words, make your best guess for the grammar rule that makes sense out of the pattern(s) you see in the phrases you have been working with. Review if you need to, and you might briefly check your hunches against the sentences you have been working with in this or previous modules. Keep in mind that what you're after is your hunch, not a grammar rule from a text book. Now check your hunch with the explanation of this principle in the following pattern. The first duty of ICS leadership is the safety of all personnel involved in an incident or a planned event. T/F what is not a chemical contaminant?A. WaterB.PesticideC.Hand SanitizerD.Dish Soap PLEASE HELP1 WILL MAKE BRAINLIEST! Jacob found a computer game that was on sale at 20% off its original price. Which expression below will find the sale price, s, of the computer game, if p represents the original price of the product? You are writing an essay about how to build a fire while camping in the wilderness. Which sentence would make the best transition to start the second paragraph of the essay, following the introductory paragraph? Steam Workshop Downloader