Determina il vertice D del parallelogramma ABCD, sapendo che A(3;-1), B(2;3) e C(-2;0) sono suoi tre vertici consecutivi.

The last cup contains 4 ounces of lemonade. Option (a) is correct.

Pam has 228 ounces of lemonade and she pours it into 8-ounce cups. To determine the amount of lemonade in the last cup, we divide the total amount of lemonade by the size of each cup.

228 ounces ÷ 8 ounces = 28 cups with a remainder of 4 ounces.

Since the last cup is not completely full, the remaining 4 ounces of lemonade are in the last cup. This means option (a), which states that there are 4 ounces in the last cup, is the correct answer.

By dividing the total amount of lemonade by the cup size and considering the remainder, we can determine the quantity of lemonade in the last cup, which in this case is 4 ounces.

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Answer:

-9/ 11 ____-5/11 _____ - 2/11

Step-by-step explanation:

-2/11, -5/11, -9/11

All the numbers are negative ; the fraction which is largest is 9/11 ; then 5 /11 ; then 2 /11 ; however, since they are negative, they largest fraction becomes the least value.

Numbers on a number line are arranged from least to highest. Hence the numbers will be arranged in a number line as follows :

-9/ 11 ____-5/11 _____ - 2/11

The volume of Ganymede is approximately 3.48 times the volume of the Moon, based on the given diameters of the two moons and the formula for the volume of a sphere.

The volume of a sphere is the amount of space occupied by the sphere in three-dimensional space. It can be calculated using the formula V = (4/3)πr³, where V is the volume of the sphere, r is the radius of the sphere, and π (pi) is a mathematical constant approximately equal to 3.14159. This formula states that the volume of a sphere is four-thirds of the product of pi and the cube of the sphere's radius.

In the given question,

The volume of a sphere can be calculated using the formula V = (4/3)πr³, where r is the radius of the sphere. Since we are given the diameters of the two moons, we can calculate their radii by dividing the diameters by 2. Therefore, the radius of Ganymede is 3,388/2 = 1,694 km, and the radius of the Moon is 1,245/2 = 622.5 km.

Now, we can calculate the volumes of the two moons:

V_Ganymede = (4/3)π(1694)³ ≈ 7.66 x 10^10 km³

V_Moon = (4/3)π(622.5)³ ≈ 2.2 x 10^10 km³

To find how many times larger Ganymede's volume is compared to the Moon's volume, we can divide the volume of Ganymede by the volume of the Moon:

V_Ganymede / V_Moon ≈ (7.66 x 10¹⁰) / (2.2 x 10¹⁰) ≈ 3.48

Therefore, the volume of Ganymede is approximately 3.48 times the volume of the Moon.

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Answer:

84 with 0 R (remainders)

Step-by-step explanation:

  0 8 4

1 1 9 2 4

  − 0    

   9 2  

 − 8 8  

     4 4

   − 4 4

                 0  R

Answer:

84

Step-by-step explanation:

Math answers to fraction 924 divided by 11 can be calculated as follows.

924/11 math problems division = 84. Therefore 84 to 2 decimal places= 84

924/11 divided by 2 » (924/11) ÷ 2 » 84 ÷ 2 = 42 .

The amount to which $800 will grow under each of the given conditions increases as the compounding period decreases.

The amount to which $800 will grow under each of these conditions is as follows:a) 8% compounded annually for 9 years

When compounded annually for 9 years at 8%, the formula is: Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years

Compounded annually = n = 1 Amount = $1,447.91 (rounded to the nearest cent)

b) 8% compounded semiannually for 9 years Compounded semiannually for 9 years at 8%, the formula is:

Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years Compounded semiannually = n = 2 Amount = $1,471.16 (rounded to the nearest cent)

c)  8% compounded quarterly for 9 years Compounded quarterly for 9 years at 8%, the formula is:

Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years Compounded quarterly = n = 4 Amount = $1,491.03 (rounded to the nearest cent)

d) 8% compounded monthly for 9 years Compounded monthly for 9 years at 8%, the formula is: Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years Compounded monthly = n = 12 Amount = $1,505.91 (rounded to the nearest cent)

e) 8% compounded daily for 9 years Compounded daily for 9 years at 8%, the formula is:

Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years Compounded daily = n = 365Amount = $1,511.74 (rounded to the nearest cent)

The observed pattern of FVs (future values) occurs due to compounding. Compounding is the process of earning interest not only on the principal amount invested but also on the interest earned from the principal. This results in an increase in the interest earned and the future value of the investment. The more frequent the compounding, the higher the future value of the investment. Hence, the amount to which $800 will grow under each of the given conditions increases as the compounding period decreases.

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Answer: x = 7

Step-by-step explanation: 6x = x^2 - 7

x^2 - 6x -7 =0

(x-7) (x+1) = 0

x = 7  

x = -1 ----> rejected

The positive solution of the required number is 7.

An expression is a grouping of one or more mathematical or logical operators, operands (values, variables, or other expressions), and brackets in mathematics and computer programming that denote a computation that can be evaluated to generate a value.

Let's start by translating the given sentence into an equation. Let "x" be the number we are trying to find. Then we can write:

6x = x² - 7

Now we need to solve for x. Let's rearrange the equation to get all the x terms on one side and all the constant terms on the other side:

x² - 6x - 7 = 0

We can solve this quadratic equation by factoring or using the quadratic formula, but let's use factoring for this problem. We need to find two numbers whose product is -7 and whose sum is -6. The two numbers are -7 and 1, so we can write:

(x - 7)(x + 1) = 0

This means that either x - 7 = 0 or x + 1 = 0. Solving for x, we get:

x = 7 or x = -1

Since we are looking for a positive solution, the answer is x = 7. Therefore, the positive solution is 7.

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Answer: The answer is C, and D.

Answer: The answer is actually C D and E

Step-by-step explanation:

I tried what the person said was “correct” and got it wrong

The algebraic expressions representing the books Jan and Jackie have left are J - 4 and J - 2 - 4, respectively, where J is the initial number of books checked out by both.

Let's use "J" to represent the number of books Jan and Jackie checked out from the library. After 3 weeks, Jan turned in 4 books, so she has J - 4 books left.

Jackie returned 2 books after the first week, so she has J - 2 books left. When she returned 4 more books later, she had J - 2 - 4 = J - 6 books left. Therefore, the algebraic expressions for the number of books Jan and Jackie have left are

Jan: J - 4

Jackie: J - 6

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If the cost of advertising was $100,000 and the reach or circulation was 10,000,000 people, then the CPM is $10.

Cost per thousand (CPM), which is also called cost per mille, is a marketing word used to denote the price of 1,000 advertisement prints on one web page. If a publisher of a website charges $2.00 CPM, that means an advertiser must pay $2.00 for every 1,000 prints of its ad.

The CPM is calculated by dividing the cost of the advertisement by the number of people reached and then multiplying by 1000.

Given that the cost of advertising was $100,000 and the reach was 10,000,000 people, the CPM can be calculated as follows:

CPM = ($100,000 / 10,000,000) × 1000 = $10.

So, the CPM is $10.

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Answer:

975

Step-by-step explanation:

Answer:

975 what kind of question of that

A worksheet has an area of 80 inches and a perimeter of 36 inches.  8 inches by 10 inches or 10 inches by 8 inches are the detentions of this worksheet.

To determine the dimensions of the worksheet, we can set up a system of equations based on the given information.

Let's assume the length of the worksheet is L inches and the width is W inches.

The area of a rectangle is given by the formula

A = L × W

The perimeter is given by the formula

P = 2L + 2W.

The area is 80 inches, we have the equation

L × W = 80.

Similarly, since the perimeter is 36 inches, we have the equation

2L + 2W = 36.

To solve this system of equations, we can rearrange the second equation to get L = 18 - W, and substitute it into the first equation:

(18 - W) × W = 80

Expanding the equation and rearranging, we get:

W² - 18W + 80 = 0

Factoring the quadratic equation, we find that

(W - 8)(W - 10) = 0

W = 8 or W = 10.

If we substitute these values of W back into the equation

L = 18 - W

L = 10 or L = 8

Therefore, the possible dimensions of the worksheet are 8 inches by 10 inches or 10 inches by 8 inches.

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Answer:

26

Step-by-step explanation:

Because these are remote exterior angles, you set (5x-2) equal to (2x+76)

After you set them equal you solve for x

5x-2=2x+76

5x=2x+78

3x=78

x=26

1). The given coordinate is (4,0,3).

To determine the location of the given coordinate move 4 units in positive x-direction, then move 3 units in the positive z-direction.

Thus, the P point gives the requried location of the given point.

Answer: 1182

Step-by-step explanation:

the given expression is'

y = 13x - 5

compare this equation with the standard equation

y = mx + c

here m is slope

so m = 13

thus, the slope of the equation is m = 13

By the end of week 52, Westway Company deducted $8,857.60 for Social Security and $2,426.48 for Medicare from Suzle Chan's earnings.

To calculate the deductions made by Westway Company, we'll need to consider the Social Security and Medicare taxes.

Social Security tax:

The Social Security tax rate is 6.2% on income up to $142,800.

Since Suzle Chan earns $3,220 per week, their annual income is $3,220 * 52 = $167,440.

However, the maximum taxable income for Social Security is $142,800.

Therefore, the Social Security tax deduction is $142,800 * 0.062 = $8,857.60.

Medicare tax:

The Medicare tax rate is 1.45% on all income.

The Medicare tax deduction is $167,440 * 0.0145 = $2,426.48.

By the end of week 52, Westway Company would have deducted a total of $8,857.60 for Social Security and $2,426.48 for Medicare from Suzle Chan's earnings.

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Answer:28.8

Step-by-step explanation:

Answer:

Wow :o

Step-by-step explanation:

The diagram of water cycle is attached below.

The best describes the process occurring at U and X is Water changes from a liquid to a gas.

The process that occurs at the position of U and X is discussed when water transforms from a liquid to a gas. This is called Evaporation.

The following are the situations that should not be arisen at the location U and X:

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The solution of the equation is x=3 or x=-5.

Given that the equation is (x+2)²-2(x-+2)-15=0 and use u substitution method to solve.

Let's assume that the (x+2)=u.

The given equation is rewritten as u²-2u-15=0.

Factorize the quadratic equation by adding or subtracting two number that gives the sum of -2u and product 15u² as

u²-5u+3u-15=0

u(u-5)+3(u-5)=0

Taking out (u-5) as common and get

(u-5)(u+3)=0

Compare each equation with 0 and get

u-5=0 or u+3=0

u=5 or u=-3

Performing back substitution by substituting the values of u in x+2

when u=5 then x is

x+2=5

x=3

And when u=-3 then x is

x+2=-3

x=-5

Hence, the solutions of the (x+2)²-2(x-+2)-15=0 is x=3 and x=-5.

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Answer:X=-5 and X=3

Step-by-step explanation:

Answer:

\(5.0043\)×\(10^{6}\)

Step-by-step explanation:

1) First right it as a digit

2) Now write as standard form

Have a lovely day :)

Answer:

pretty sure it’s 60°

Answer:

A

Step-by-step explanation:

To determine the sample size required to estimate the population mean with a 97% level of confidence and a margin of error of 0.20 lb., we need to use the formula:

n = (Zα/2 * σ / E)²

where:

n = sample sizeZα/2 = the z-score corresponding to the desired level of confidence (97% in this case) and can be found using a standard normal table or calculator.

level of confidence, Zα/2 is approximately 2.17.

σ = the population standard   deviation    (if known) or an estimate of it from a pilot study or a similar population.E = the margin of error, which is given as 0.20 lb. in this case.

Since we do not have any information about the population standard deviation, we can use a conservative estimate of 1 lb. for σ.

Plugging in the values, we get:

n = (2.17 * 1 / 0.20)² = 297.64

Rounding up to the nearest whole number, we need a sample size of n = 298 to be 97% confident that the sample mean is within 0.20 lb. of the true mean weight.

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The angle is:40 and we have 1900 Newton's so

1. 1900/40 = 47.5

2.47.5 × 2.5= 118.25

and so the answer is 118.25N

N stands for Newtons

:D

From: Kenny

The required Sadie's recommended remaining weight gain is 20 pounds to stay within the maximum weight gain of 25 pounds by the end of her pregnancy.

To determine Sadie's recommended remaining weight gain in pounds so that she will not exceed the maximum weight gain of 25 pounds by the end of her pregnancy, we need to consider the general guidelines for pregnancy weight gain.

According to common pregnancy weight gain guidelines, the recommended weight gain varies based on factors such as pre-pregnancy weight, BMI, and individual circumstances. However, a general guideline is to gain weight gradually during pregnancy.

Since Sadie is at the 20th week of her pregnancy, she has approximately 20 weeks remaining until the end of her pregnancy. To calculate her recommended remaining weight gain, we can use a moderate rate of weight gain, which is often advised for most pregnant women. A common guideline is to gain 2 to 4 pounds during the first trimester and then 1 pound per week for the rest of the pregnancy.

Let's calculate Sadie's recommended remaining weight gain:

Recommended remaining weight gain = (1 pound/week) * (number of remaining weeks)

Recommended remaining weight gain = 1 pound/week * 20 weeks

Recommended remaining weight gain = 20 pounds

Therefore, Sadie's recommended remaining weight gain is 20 pounds to stay within the maximum weight gain of 25 pounds by the end of her pregnancy.

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