Ramon has 7/8 of a cup of cottage chesse. How many 1/4 cup servings can he make?

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Let's distribute those factors, and expand this:

There's no further way beyond that. Either we pick the factored form or the expanded version of that polynomial. As this is not an equation we stop it here.

SOLUTION

Equation of a line is give as

y - y1 = m(x - x1)

Where x1 and y1 are the coordinates and m is the slope.

So x1 = 2, y1 = 7 and m = 3

The equation of the line becomes

Hi 

let call "a number" X.

then we have: 4-13X = X + 8 ..

To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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Answer:

The warehouse has 31,250 cubic feet of space.

The air conditioner has to be at least 55 tons.

Answer:

687,500 for first blank

60 tons for second blank

Step-by-step explanation:

It is correct on edmentum

Answer:

Every investment carries some degree of risk, All investments carry some degree of risk. Stocks, bonds, mutual funds, and exchange-traded funds can lose value, even all their value, if market conditions sour. Even conservative, insured investments, such as certificates of deposit (CDs) issued by a bank or credit union, come with inflation risk. They may not earn enough over time to keep pace with the increasing cost of living.

Step-by-step explanation:

The anwser would be 33 because 33=33 as an absolute value

The absolute value of a number is how far away the number is from zero. The absolute value is ALWAYS positive.

What is the absolute value of -33?

The negative version of the number is also | 33 |

The amount of radioactive kind of nitrogen will be left after 30 minutes

is 240 grams.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A radioactive kind of nitrogen has an initial mass of 1930 grams and it has a half-life of 10 minutes.

Therefore, The amount of radioactive kind of nitrogen that will be there after 30 minutes is,

= 1920/2³.    (As 30 = 10×3)

= 1920/8.

= 240 grams.

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Answer:

sin A = 3/5

cos A = 4/5

Step-by-step explanation:

For angle A, the opposite leg is BC with length 3.

For angle A, the adjacent leg is AC with length 4.

The hypotenuse is AB with length 5.

sin A = opp/hyp

sin A = 3/5

cos A = adj/hyp

cos A = 4/5

Answer:

80 + 60x

Step-by-step explanation:

Answer:

x - 4 yards.

Step-by-step explanation:

Given:

Area of rectangle = 3x^2 - 12x square yards

Width = 3x yards

To find:

Length of rectangle

Solution:

The area of a rectangle is equal to the product of its length and width.

Area of rectangle = Length * Width

Substituting the given values, we get:

3x^2 - 12x = Length * 3x

Length =( 3x^2 - 12x )3x

Length = x-4

Therefore, the length of the rectangle is x - 4 yards.

Answer: The length of the rectangle is x - 4 yards.

Step-by-step explanation:

We can create an equation to solve this word problem, where the variable L = length.

3x  ×  L  = \(3x^2 - 12x\)

We need to solve for the variable L, to find the length of the rectangle.

First lets factor the right side of the equation to make it easier to divide with.

3x  ×  L  = \(3x^2 - 12x\)

We can factor out 3x from the right side of the equation.

3x  ×  L  = 3x(x - 4)

Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.

3x ×  L  = 3x(x - 4)

/3x           /3x

L = x - 4

The length of the rectangle is x - 4 yards.

The value of "s" as a function of other  variables is s =  (w - rh)/c

If you earn both hourly wages and a commission at your job, your gross wages, w, can be calculated with the following equation:

cs + rh = w

We will make "s" the subject of the formula:

Subtract rh from both sides

cs + rh - rh = w - rh

cs = w - rh

Divide both sides by c

cs/c = (w - rh)/c

s =  (w - rh)/c

Hence the value of "s" as a function of other  variables is s =  (w - rh)/c

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Answer:

questions 2 answe is x+3less than equal to 13

Note that the roots of the equation Unequal and rational (Option D)

The roots of the equation   (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.

x - 3 = ±√4

⇒ x - 3 = ±2

Solve for x

For the positive square root.

x - 3 = 2

x = 2 + 3

x = 5

For the negative square root.

x - 3 = -2

x = -2 + 3

x = 1

Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)

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Full Question:

Although part of your question is missing, you might be referring to this full question:

The roots of the equation (x - 3)² = 4 are

A.Unequal and irrational.

B.Equal and rational.

C.  Equal and irrational.

D.  Unequal and rational.

Answer:

2, -2

Step-by-step explanation:

what i answered probs not right lol

The 6-digit number A is 419065.

To find the least 6-digit number A that is divisible by 495, we need to follow these steps:
Step 1: Find the prime factors of 495.
495 = 3 × 3 × 5 × 11 = 3^2 × 5 × 11
Step 2: Determine the lowest 6-digit number divisible by the prime factors.
The lowest 6-digit number is 100000, so we find the next multiple of 495 above 100000.
100000 ÷ 495 ≈ 202.02
The next integer value is 203, so:
203 × 495 = 100485
Step 3: Substitute the given digits (4, 9, and 6) into the 6-digit number.
The least 6-digit number divisible by 495 is 100485. To make A the smallest possible number, we will place the given digits in the following order: 4, 9, and 6. The missing digits in A are 1, 0, and 5.
So, the 6-digit number A is 419065.

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Answer:

first term (a)=-2

common difference (d)=8

Now,

87th term=a+(n-1)d

=-2+(87-1)×8

=-2+86×8

=-2+688

=686

The value of a 10% stake is given as $88.

The formula for the Gordon growth model is:

Stock Price = Dividend / (Required Yield - Growth Rate)

Substituting the given values gives:

Stock price = 1.76 / (0.10 - 0.08) = 1.76 / 0.02 = $88 

Stocks are documents that prove that someone owns a share of the capital of a company. A person who owns shares has the right to some of the company's assets. For example, if a company issues 1000 shares of stock and a person owns 200 shares in that company, that person actually owns 20% of the assets in that company. Majority shareholders will have control rights over a company.

Shareholders also have the right to receive dividends according to the number of shares they own. The acquisition of these dividends usually depends on the profits of the company and has been regulated in accordance with the company's articles of association.

Issuing shares is one way for companies to get fresh funds or capital for long-term business development. Shares themselves can be traded through the Stock Exchange at prices that change according to company conditions and economic conditions.

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The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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The probability that exactly 20 out of 30 randomly selected adult smartphone users use their smartphones in meetings or classes is approximately 0.0802.

To find the probability that exactly 20 out of 30 randomly selected adult smartphone users use their smartphones in meetings or classes, we can use the binomial probability formula.

The binomial probability formula is given by:

P(X = k) = C(n, k) * p^k * (1-p)^(n-k)

Where:

P(X = k) is the probability of getting exactly k successes

n is the total number of trials (sample size)

k is the number of desired successes

p is the probability of success on a single trial

In this case:

n = 30 (number of adult smartphone users randomly selected)

k = 20 (number of users who use smartphones in meetings or classes)

p = 0.42 (probability of using smartphones in meetings or classes)

Plugging in the values into the formula:

P(X = 20) = C(30, 20) * (0.42)^20 * (1-0.42)^(30-20)

Calculating the values:

C(30, 20) = 30! / (20! * (30-20)!) = 30! / (20! * 10!) = 30,045

P(X = 20) = 30,045 * (0.42)^20 * (0.58)^10

Calculating the final result:

P(X = 20) ≈ 0.0802

Therefore, the probability is approximately 0.0802.

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Answer:

12.5

Step-by-step explanation:

\(400km = 10hr \\ 500km = x \\ \\ 400kmx = 5000kmhr \\ x = 12.5hr\)

Answer: The answer is 12.5

Step-by-step explanation:

I did the math on my paper.

Given:

Radius, r = 2 ft

Height, h = 6 ft

Let's find the volume of the cone.

To find the voume of the cone, apply the formula:

Substitute values into the formula:

Solving further:

Therefore, the volume of the cone is 8π ft³

ANSWER:

8π ft³

Step-by-step explanation:

It's just asking you to rewrite it in vertex form. Which would be

\((x + 10) ^{2} - 4\)

Answer:

280

Step-by-step explanation:

Not entirely sure what 3 in means, but if we were to multiply the lenght*witdth*height we would get 56 since 8 x 3.5 x 2 =56, if we then multiplied one block by 5 we would get 280. this tower would have a height of 10 inches, a length of 8 inches, and a width of 3.5

Answer:

$34,400

Step-by-step explanation:

35,500- 1,100= 34,400

A) $34,400 will the homeowner's insurance company pays for the damages

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

The homeowner's insurance company will pay for the damages after the deductible is subtracted from the claim amount.

In this case, the claim amount is $35,500 and the deductible is $1,100.

So, the insurance company will pay $35,500 - $1,100 = $34,400 for the damages.

Therefore, the answer is option A) $34,400.

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So, the most precise classification of quadrilateral LMNP is a kite.

In mathematics, an equation is a statement that two mathematical expressions are equal. It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the values of the variables that make the equation true. Equations are used in many areas of mathematics, science, and engineering to model relationships between quantities and to solve problems.

Here,

To classify the quadrilateral LMNP, we need to calculate the length of all four sides using the distance formula and then use those values to determine the shape of the quadrilateral.

The distance formula is given by:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using this formula, we can calculate the length of each side of the quadrilateral as follows:

LM = √[(4 - (-1))² + (9 - 7)²] = √[5² + 2²] = √29

MN = √[(8 - 4)² + (-1 - 9)²] = √[4² + (-10)²] = √116

NP = √[(3 - 8)² + (-3 - (-1))²] = √[(-5)² + (-2)²] = √29

PL = √[(-1 - 3)² + (7 - (-3))²] = √[(-4)² + 10²] = √116

Now, we can use the values we have calculated to determine the shape of the quadrilateral. We can see that LM = NP and MN = PL, which means that opposite sides are congruent. Also, LM and MN are not equal to PL and NP, which means that opposite sides are not parallel. Therefore, LMNP is a kite.

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