HELP WILL GIVE BRAINLIEST PLEASE

Answer:

See below.

Step-by-step explanation:

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

12x-6=6x+12

Yes, it seems so.

-hope it helps

Answer: For a linear function, the rate of change is represented by the parameter in the slope-intercept form for a line: y = m x + b , and is visible in a table or on a graph.

Step-by-step explanation:

Step-by-step explanation:

I believe you wanted to type y=3x-2

If so then m=3 and c=-2

If you indeed wanted to type y=3-2

then it simplifies to y=1

In this case the line has no slope(m) but c=1

Answer:

Step-by-step explanation:

We can write the area of the rug as:

Area = 49x^2 - 25y^2

To find possible dimensions of the rug, we need to factor the expression on the right side. We can factor out 49 and 25 to get:

Area = 49 * x^2 - 25 * y^2

Area = 7 * 7 * x^2 - 5 * 5 * y^2

So, the area of the rug can be written as the product of two binomials, each of which represents one of the side lengths.

Therefore, one possible set of dimensions for the rug is 7x and 5y, and another possible set is -7x and -5y. Note that the dimensions are related in that the width of the rug is proportional to 7x, and the length is proportional to 5y.

To make the rug a square, the sides must be equal in length. To find the value that would need to be subtracted from the longer side and added to the shorter side, we take the difference between the two possible side lengths:

7x - 5y = (7x + 5y) - 2 * 5y = (7x + 5y) - 10y

So, to make the rug a square, you would need to subtract 10y from the longer side (7x) and add 10y to the shorter side (5y). This would result in both sides being equal to (7x + 5y)/2, making the rug a square.

a. The minimum value of the average cost over the interval 1 ≤ x ≤ 10 is approximately 1966.7 (rounded to the nearest tenth).

b. The minimum value of the average cost over the interval 10 ≤ x ≤ 20 is 708,400.

a. 1 ≤ x ≤ 10For the given cost function C(x) = x³ + 32x + 250, we are to determine the minimum value of the average cost over the interval 1 ≤ x ≤ 10.

To find the minimum value of the average cost over the interval 1 ≤ x ≤ 10, we first calculate the total cost for the given interval:

Total cost = C(1) + C(2) + ... + C(10) = (1³ + 32(1) + 250) + (2³ + 32(2) + 250) + ... + (10³ + 32(10) + 250) = 17,700

Next, we calculate the average cost:Average cost = Total cost / (10 - 1) = 17,700 / 9 ≈ 1966.67

b. 10 ≤ x ≤ 20For the given cost function C(x) = x³ + 32x + 250, we are to determine the minimum value of the average cost over the interval 10 ≤ x ≤ 20.

To find the minimum value of the average cost over the interval 10 ≤ x ≤ 20, we first calculate the total cost for the given interval:

Total cost = C(10) + C(11) + ... + C(20) = (10³ + 32(10) + 250) + (11³ + 32(11) + 250) + ... + (20³ + 32(20) + 250) = 7,084,000

Next, we calculate the average cost:Average cost = Total cost / (20 - 10) = 7,084,000 / 10 = 708,400

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Answer:

i think its $0.20

Step-by-step explanation:

 12                 1

------      =   ---------

 2.49          0.20

1 egg = $0.20

Hello!

45% of x = 7.2

45x/100 = 7.2

45x = 7.2 * 100

45x = 720

x = 720/45

x = 16

the number = 16

Answer:

Below

Step-by-step explanation:

Similar triangles due to A - A - A

Set up ratios

QR is to RS   as  QP is to TS

(x+2) / (2x-5) = 3/5       Cross multiply to get

5x+10 = 6x-15               subtract 5x from both sides of the equation

10 = x - 15                     add 15 to both sides

25 = x

Answer:y=8

Step-by-step explanation:

To determine the fraction of automotive batteries that would be expected to survive beyond 1000 days, we need to calculate the probability that a battery's life exceeds 1000 days, given that it follows a normal distribution with a mean of 900 days and a standard deviation of 35 days.

We can use the standard normal distribution (Z-distribution) to calculate this probability. We need to convert the value of 1000 days into a standardized Z-score using the formula:

Z = (X - μ) / σ

where X is the value we want to convert (1000 days in this case), μ is the mean (900 days), and σ is the standard deviation (35 days).

Z = (1000 - 900) / 35 = 2.857

Using a Z-table or a statistical calculator, we can find the area/probability to the right of Z = 2.857. This area represents the fraction of batteries expected to survive beyond 1000 days.

Looking up the Z-score of 2.857 in a standard normal distribution table, we find that the area to the right is approximately 0.00215.

Therefore, the fraction of automotive batteries expected to survive beyond 1000 days is approximately 0.00215 or 0.215%.

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The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.

Answer:

one page-2 minute 4 second

Step-by-step explanation:

i'm just use calculator

The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

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Answer:

5.8 × 10^(6) is greater.

Step-by-step explanation:

The 2 numbers she wants to compare are;

5.8 × 10^(6) and 2.32 x 10^(7)

Now,for her to compare easily both numbers will need to have the same powers of 10.

To this effect, let's convert the power of ten of the second number to the power of 6.

We will divide by 10 to get it.

Thus; 2.32 x 10^(7) ÷ 10 = 0.232 × 10^(6)

Comparing 0.232 × 10^(6) to 5.8 × 10^(6), we can see that they have same power of 10 but the greater number that precedes the power of 10 is 5.8.

Thus, 5.8 × 10^(6) is greater.

Hence, the shape is rectangular prism with the dimensions 10mm, 8mm, and 8mm has a surface area of 448mm2.

We must first calculate the surface area of each face of a rectangular prism with 10mm, 8mm, and 8mm measurements before adding them all up.

The top and bottom faces, which are both rectangles with measurements of 10 mm by 8 mm, are first measured for area:

Area of the top and bottom faces is equal to 2 (10 x 8 mm) or 160 mm2.

The area of the front and back faces, which are both rectangles measuring 10 mm by 8 mm, is then determined: Area of the front and back faces is equal to 128mm2 (8mm x 8mm).

The area of the two side faces, which are both rectangles with dimensions of 10 mm by 8 mm, is then determined: Area of the side sides is equal to 2 (10mm x 8mm) = 160mm2.

We add up the areas of all the faces to determine the overall surface area:

Whole surface area equals the sum of the areas of the top and bottom faces, the front and back faces, and the side faces.

Surface area total = 160 mm2 + 128 mm2 + 160 mm2

448 mm2 is the total surface area.

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The Area of the irregular figure = 180.5 ft²

The irregular shape is made up of a semi-circle and a triangle

Area of a triangle = 0.5 x base x height

The base = 16 feet

The height = 10 feet

Substituting these values into the formula for calculating the area of the triangle, we have:

Area of the triangle = 0.5 x 16 x 10

Area of the triangle = 80 ft²

Area of the semicircle = 0.5πr²

π = 3.14

The radius, r = 16 ÷ 2

r = 8 feet

Area of the semicircle = 0.5 x 3.14 x 8²

Area of the semicircle = 100.48  ft²

Area of the irregular figure = Area of the semicircle + Area of the triangle

Area of the irregular figure = 100.48 ft² + 80 ft²

Area of the irregular figure = 180.48ft²

Area of the irregular figure = 180.5 ft² (to the nearest tenth)

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Answer:

17 cm

Step-by-step explanation:

PM is 15 cm and LM is 8 cm. you do 15 to the power of 2 and get 225 and 8 becomes 64. when you add 64 + 225 you get 289. you do \(\sqrt{ 289\\\\\\\) and get 17.

Answer:

-3

Step-by-step explanation:

I reduced it

Answer:

The answer would be -3 because a negative number multiplied by a positive number would make it a negative number for the answer.

The maximum profit is achieved when approximately 312.5 units of lab equipment are sold.

The revenue function R(x) represents the amount of money the company earns from selling x units of lab equipment. It is given by the equation:

R(x) = -0.32x^2 + 270x

The costs function C(x) represents the expenses incurred by the company for producing and selling x units of lab equipment. It is given by the equation:

C(x) = 70x + 52

To determine the company's profit, we subtract the costs from the revenue:

Profit = Revenue - Costs

P(x) = R(x) - C(x)

Substituting the given revenue and costs functions:

P(x) = (\(-0.32x^2 + 270x)\) - (70x + 52)

Simplifying the equation:

P(x) = -0.32x^2 + 270x - 70x - 52

P(x) = -\(0.32x^2\)+ 200x - 52

The profit function P(x) represents the amount of money the company makes from selling x units of lab equipment after deducting the costs. It is a quadratic function with a negative coefficient for the x^2 term, indicating a downward-opening parabola. The vertex of the parabola represents the maximum profit the company can achieve.

To find the maximum profit and the corresponding number of units sold, we can use the vertex formula:

x = -b / (2a)

For the profit function P(x) = -\(0.32x^2 + 200x\)- 52, a = -0.32 and b = 200.

x = -200 / (2 * -0.32)

x = 312.5

Therefore, the maximum profit is achieved when approximately 312.5 units of lab equipment are sold.

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Answer:

Step-by-step explanation:

The rule says that when the bases are the same (both are the same -- s) and they are divided with different powers then you subtract the power on the denominator from the power on the numerator.

s^9 ÷ s^4

s^9 is the numerator

s^4 is the denominator

s^(9 - 4)

s^5

Answer:

Step-by-step explanation:

rational number equivalent to 3/8 is 6/16

3*2/8*2=6/16

Multiplying both numerator and denominator with same number

Answer:1 1/14

Step-by-step explanation:

The probability of at least one pet owner out of 18 having their pet bathed professionally is:
P(X ≥ 1) = 1 - P(X = 0) = 1 - 0.0052 = 0.9948

Given that 25% of pet owners have their pets bathed professionally, the probability of a single pet owner having their pet bathed professionally is 0.25. Conversely, the probability of a pet owner not having their pet bathed professionally is 1 - 0.25 = 0.75.

To find the probability that at least one pet owner out of 18 randomly selected has their pet bathed professionally, we can first find the probability that none of the 18 pet owners have their pets bathed professionally and then subtract it from 1.

Step 1: Find the probability that none of the 18 pet owners have their pets bathed professionally.
The probability of one pet owner not having their pet bathed professionally is 0.75. Since we're considering 18 independent pet owners, we need to multiply this probability 18 times.

Probability (none have pets bathed professionally) = (0.75)^18

Step 2: Subtract the probability found in step 1 from 1.
The probability that at least one pet owner has their pet bathed professionally is the complement of the probability found in step 1.
The probability of a pet owner having their pet bathed professionally is 25%, which can be written as 0.25. The probability of a pet owner not having their pet bathed professionally is 1 - 0.25 = 0.75.

Using the binomial probability formula, we can calculate the probability of no pet owners out of 18 having their pet bathed professionally:

P(X = 0) = (0.75)^18 = 0.0052

Therefore, the probability of at least one pet owner out of 18 having their pet bathed professionally is:

P(X ≥ 1) = 1 - P(X = 0) = 1 - 0.0052 = 0.9948
Probability (at least one has pet bathed professionally) = 1 - (0.75)^18

Now, you can calculate the probability using a calculator. The result will be the probability that at least one of the 18 randomly selected pet owners has their pet bathed professionally.

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Complete Question:

Aisha reduced the size of her square driveway. she made one side 10 feet shorter and the other side 15 feet shorter. the smaller rectangular driveway will have an area of no more than 800 square feet. write an inequality to represent the area of the smaller driveway.

Answer:

The inequality that represents the area of the smaller drive way is \(x(x-25) \leq 650\)

Step-by-step explanation:

Let the original length of the sides of Aisha's square driveway be = x

She made one side 10 ft short, i.e. (x - 10) ft

She made the other side 15 ft short, i.e. (x - 15) ft

Since the sides are no longer equal, the driveway is now a rectangle

The question states that the smaller rectangular driveway will have an area of no more than 800 square feet

Area of a rectangle = length * Breadth

Area = (x - 10)*(x - 15)

\(Area = x^{2} - 15x - 10x + 150\\Area = x^{2} - 25x + 150\)

Area ≤ 800

\(x^{2} - 25x + 150 \leq 800\\ x^{2} - 25x - 650\leq 0\\x(x-25) \leq 650\)

Solving the above, x = 40.9 or -15.9

Since the length of a square cannot be negative, x = 40.9 ft

Answer:

(x-10)·(x-15)≤800

Step-by-step explanation:

imagine math

Alison needs 84 inches of ribbon to decorate the frame by wrapping it around the photo three times.

To find the length of ribbon needed to wrap around the frame three times, we need to calculate the perimeter of the frame. The frame's area is given as 48 square inches, and its width is 8 inches.

Let's assume the length of the frame is L inches. Since the area of a rectangle is given by length multiplied by width, we have:

L * 8 = 48

Dividing both sides of the equation by 8, we find:

L = 48 / 8

L = 6

So, the length of the frame is 6 inches. The perimeter of the frame can be calculated by adding the lengths of all four sides:

Perimeter = 2 * (length + width)

Perimeter = 2 * (6 + 8)

Perimeter = 2 * 14

Perimeter = 28 inches

Since the ribbon needs to be wrapped around the frame three times, the total length of ribbon needed is:

Total length of ribbon = 3 * Perimeter

Total length of ribbon = 3 * 28

Total length of ribbon = 84 inches

Therefore, Alison needs 84 inches of ribbon to decorate the frame by wrapping it around the photo three times.

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Answer:

ok

Step-by-step explanation:

1) \(\frac{3}{2} \\\) = 1.5 because the numerator goes int the denominator 1 time and then you ahve left over \(\frac{1}{2}\) which is .5 .

2) \(\frac{5}{2}\) = 2.5 because the 5 goes into the denominator 2 times and then you have left over .5 .

3) \(\frac{1}{4}\) = .25 because a 1 is divided by 4.

4) \(\frac{1}{2}\) = .5 ; a 1 is divided by 2

5) \(\frac{3}{4}\) = .75 because you have .25 x 3 .

6) \(\frac{1}{5}\) = .2 because it is 1 divided by 5

7) 0.04 + 4.1 = 4.14

8) 6.93 - 1.2 = 5.73

Answer: j(x) = 1/3(10)^x+1 -2

Step-by-step explanation:

Plato

Answer:

the slope is one

Step-by-step explanation:

trust me bro .

The total number of miles Ahmad drove the truck is given by the equation A = 238.988 miles ≈ 240 miles

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The base fee of the truck = $ 20.95

The cost for each mile driven = $ 0.84

The total amount Ahmad paid = $ 221.7

Let the total number of miles be A

Now , the equation will be

The total amount Ahmad paid = base fee of the truck + cost for each mile driven x total number of miles

Substituting the values in the equation , we get

221.7 = 20.95 + ( 0.84 )A

Subtracting 20.95 on both sides of the equation , we get

0.84A = 200.75

Divide by 0.84 on both sides of the equation , we get

A = 238.988 miles

Hence , the equation is A = 238.988 miles

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