Joe solved the equation 3+ x/2 = 10 and justified each step as shown. Identify Joe's error and fix his mistake. ( Only answer if you truly know how. No Plagiarism and please don't reposted another students answer on brianly. Will Mark Brainliest).​

Given that C(w) represents the cost in dollars, of a sundae weighing 'w' ounces.

Here the cost is a function of the weight of yogurt sundaes.

The variable 'w' acts as the independent variable and 'C' acts as the dependent variable.

The domain of the function is defined as the smallest set of all possible values that the independent variable can take.

Since the weight cannot be negative, it follows that,

And note that the weights can be fractional as well. It means 'w' is not restricted to integral values and can also take rational values.

Therefore, the domain of the function will be the set of non-negative rational numbers.

So, the 4th option is the correct choice.

The percent decrease in the number of ponds that support brook trout would be approximately 47.37%.

To calculate the percent decrease in the number of ponds that support brook trout, we need to determine the difference between the initial number of ponds and the final number of ponds, and then express that difference as a percentage of the initial number of ponds.

Initial number of ponds: 19

Final number of ponds: 10

To calculate the percent decrease, we can use the following formula:

Percent Decrease = (Difference / Initial Value) * 100

Let's apply this formula to the given data:

Difference = Initial number of ponds - Final number of ponds

Difference = 19 - 10

Difference = 9

Percent Decrease = (9 / 19) * 100

Now, let's calculate the percent decrease:

Percent Decrease = (9 / 19) * 100

Percent Decrease ≈ 47.37%

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Answer:

3 my answer

Step-by-step explanation:

24 divide 8-3

Answer:

The sides of the pigpen are 3 by 17

Step-by-step explanation:

Perimeter of pigpen => 2x + 2y = 40

Area of pigpen => xy = 51 (this is assuming x = length, and y = width)

Let's isolate "y" for the first equation;

2x + 2y = 40

2(x + y) = 40

x + y = 20

y = 20 - x

xy = x(20 - x) = 51 = 51

20x - x^2 = 51

x^2 - 20x + 51 = 0

According to the quadratic equation =>

x = ( - (- 20) + √(- 20)^2 - 4 * 1 * 50 ) / 2 * 1 = 17

x = ( - (- 20) - √(- 20)^2 - 4 * 1 * 50 ) / 2 * 1 = 3

The dimensions of the pigpen are actually 17 by 3

Proof: 17(3)= 51, 2(17) + 2(3) = 40

Answer:9.4

Step-by-step explanation:

comment section

Answer: 1 & 4 4&5 6&7

Step-by-step explanation:

The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.

To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.

The loan amount can be calculated by subtracting the down payment from the property value:

Loan amount = Property value - Down payment

           = $170,000 - $20,000

           = $150,000

Now we can calculate the LTV ratio:

LTV ratio = Loan amount / Property value * 100

         = $150,000 / $170,000 * 100

         = 88.24%

Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.

To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:

PMI payment = (Loan amount * PMI rate) / 12

           = ($150,000 * 0.30%) / 12

           = $450 / 12

           = $37.50

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The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.

Use the table to find her monthly PMI payment

Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.

30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%

15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.

A. $51.25

B. $37.50

C. $23.75

D. $42.50

Answer:

C

Step-by-step explanation:

4(3 - x) =2(6 - 2x)

(4x3) + (4x(-x))=(2x6) + (2x(-2x))

12 + (-4x) = 12 + (-4x)

12 - 4x = 12 - 4x

collect like terms

12 - 12 = -4x + 4x

0 = 0

Answer:

Step-by-step explanation:

The distance covered by the Passenger train is 528 miles.

We have situation in which a passenger train left a station traveling East at 88 mph and at the same time, a freight train left the same station traveling West at 70 mph.

We have to determine when the freight train is at 420 miles from the station, how far, in miles, is the passenger train from the station.

What is the formula to calculate the time for which body was moving if it covered distance = 'd' miles at a speed = 'v' mph?

The time taken can be calculated using the formula -

t = d/v

According to question, we have ;

For freight train,

Speed = 70  mph

Distance = 420 miles

Therefore, the time taken will be;

t = 420/ 70 = 6 hours

For passenger train,

The freight train moved for 6 hours. Since, both of them started at the same time, therefore,

d = speed of passenger train x time taken by freight train to move 6 hours.

d = 88 x 6 = 528 miles

Hence, the distance covered by the Passenger train is 528 miles

The answer is (c) 52 cubic feet in the given case

To find the total volume of soil needed, we need to find the volume of each flower pot holder and then add them up.

The first flower pot holder has a volume of 3 x 2 x 2 = 12 cubic feet.

The second flower pot holder has a volume of 2 x 4 x 5 = 40 cubic feet.

Adding the volumes of the two flower pot holders gives us:

12 + 40 = 52 cubic feet

Therefore, the answer is (c) 52 cubic feet.

In can also be solved as-

The total volume of the flower pots can be found by adding up the volumes of each individual pot.

The first pot has dimensions 3 ft x 2 ft x 2 ft, so its volume is:

3 ft x 2 ft x 2 ft = 12 cubic feet

The second pot has dimensions 2 ft x 4 ft x 5 ft, so its volume is:

2 ft x 4 ft x 5 ft = 40 cubic feet

The total volume of the two pots is:

12 cubic feet + 40 cubic feet = 52 cubic feet

Therefore, the answer is (c) 52 cubic feet.

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A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The coefficient of the highest degree term (x^5) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and \(x^{2}\) + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

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A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The coefficient of the highest degree term (\(x^{5}\)) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and  + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

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Answer:

The formula for finding the area of a circle using its radius is:

The formula for finding the area of a circle using its radius is:A = πr²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14

Step-by-step explanation:

Hope it Helps

The formula for finding the area of a circle using its radius is π * r².

The formula for finding the area of a circle using its diameter is (π/4) * d².

The formula for finding the area of a circle using its radius is:

A = π * r²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

r represents the radius of the circle.

If you have the diameter of the circle instead of the radius, you can use the following formula:

A = (π/4) * d²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

d is the diameter of the circle.

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Answer:

x = 101°

Step-by-step explanation:

180-147 = 32

180-47-33 = 101

also this is not college math what

Answer:

Area: \(27y^{3} -24y^{2}\)

Perimeter: \(6y^{2} +7y+5\)

Step-by-step explanation:

Area:

\(\frac{1}{2}\) x base x height

\(6y^{2} (\frac{1}{2} )(9y-8)\\3y^{2} (9y-8)\\27y^{3} -24y^{2}\)

Perimeter:

\(6y^{2} +4y+(3y+5)\\6y^{2} +7y+5\)

The possible whole numbers dimensions are (1, 15), (2, 14), (3, 13), (4, 12), (5, 11), (6, 10), (7, 9) and (8, 8)

Let's assume that the length of the rectangular frame is L inches and the width is W inches.

We know that the perimeter of a rectangle is given by the formula:

P = 2(L + W)

And we also know that the perimeter of the wooden frame should be equal to the length of the wood that Lonnie has, which is 32 inches.

So, we have

2(L + W) = 32

Divide

L + W = 16

The integers that add up to 16 are (1, 15), (2, 14), (3, 13), (4, 12), (5, 11), (6, 10), (7, 9) and (8, 8)

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Answer:

80%

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Because its a circle and 360-240 =120

Answer:

d) 1/12

Step-by-step explanation:

Answer:

56 minutes

Step-by-step explanation:

We can use proportions to solve.

6 miles            8 miles

------------     = ------------------

42 minutes        x minutes

Using cross products.

6x = 42 *8

Divide each side by 6

x = 42/6 * 8

x = 7*8

x = 56

Answer:

-3

Step-by-step explanation:

There is a point at (0,8) and there is also a point at (4,-4). Slope is calculated as rise/run. Meaning up or down over left or right. when we go up or right we get a positive number and when we go down or left we get a positive number. so you would find the distance between the two x vertices and the two y vertices. you would get 12/-4 or -12/4. Both come out to -3. Hope this helped.

The X variables have an overall correlation of 0. VIF, or Variance Inflationary Factor, measures the

Regression analysis's level of multicollinearity is gauged by a variance inflation factor, or VIF. When several independent variables in some kind of a model with multiple regression correlate with one another, this is known as multicollinearity. The regression findings may be significantly impacted by this.

Greater correlation between the variable and other variables is indicated by a higher value. With values of Ten or more being considered very high, values greater than 4 or 5 are occasionally considered to be moderate to high.

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The probability of getting a black card and a numbered card is 9/26.

To calculate the probability of getting a black card (E1), we need to determine the number of black cards in a standard deck of 52 cards.

There are 26 black cards in total, which consist of 13 spades (black) and 13 clubs (black).

Therefore, the probability of drawing a black card (P(E1)) is:

P(E1) = Number of favorable outcomes / Total number of possible outcomes

P(E1) = 26 / 52

Simplifying this fraction, we get:

P(E1) = 1/2

So the probability of drawing a black card is 1/2.

To calculate the probability of drawing a numbered card (E2), we need to determine the number of numbered cards (2 through 10) in a standard deck.

Each suit (spades, hearts, diamonds, clubs) contains one card for each numbered value from 2 to 10, totaling 9 numbered cards per suit.

Therefore, the probability of drawing a numbered card (P(E2)) is:

P(E2) = Number of favorable outcomes / Total number of possible outcomes

P(E2) = 36 / 52

Simplifying this fraction, we get:

P(E2) = 9/13

So the probability of drawing a numbered card is 9/13.

To calculate the probability of both events occurring together (getting a black card and a numbered card), we multiply the individual probabilities:

P(E1 ∩ E2) = P(E1) × P(E2)

P(E1 ∩ E2) = (1/2) × (9/13)

Simplifying this fraction, we get:

P(E1 ∩ E2) = 9/26

Therefore, the probability of getting a black card and a numbered card is 9/26.

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Answer:

\(3\sqrt{3}\)

Step-by-step explanation:

The given is a special right triangle with angle measures 30-60-90

The measure of side lengths for this special right triangle are represented with

a-a\(\sqrt{3}\)-2a respectively

Now, since the side length that sees angle measure 30 is given as 3 (represented with a) then the measure of the side length that sees angle measure 60 would be \(3\sqrt{3}\)

Answer:

$223,787

Step-by-step explanation:

r = 0.02

C = 191,000

t = 8

S = 191,000 (1 + 0.02)⁸

Follow order of operations (PEMDAS).

S = 191,000 (1.02)⁸

S = 191,000 (1.171659381)

S = 223,786.9

(We want to round to the nearest dollar, which is the ones place, so ignore all digits after the tenths place.)

Rounding, S = 223,787

Answer: at 5

Step-by-step explanation: the 3 is the slope and the 5 is the y intercept. The y-intercept corresponds to the value of 5 when the x value is equal to 0

Based on what we know about the formula of a straight line, the line above would cross the y-axis at 5.

The formula for a straight line takes the form:

y = mx + c

m = Gradient

c = y-intercept

The line described takes the form of y = 3x + 5.

5 is therefore c in the formula of a straight line so we can infer that it is the point where the y-axis is crossed.

In conclusion, the y-axis is crossed at 5.

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