caroline is using modeling clay to make a model of a pyramid with the dimensions shown. m70900 000 how much modeling clay does she need to complete the model? round to the nearest hundredth if necessary.

Answer:

$38.10

Step-by-step explanation:

because -46.90+86 is 38.1

ur welcome!

pls marbeanibrainliest!

The finance charge on the average daily balance for this credit card over the 1-month period is approximately $84.31.

To calculate the finance charge on the average daily balance for this credit card over a 1-month period, let's break down the information provided.

The balance for the first 3 days is given as $150 (initial balance) minus a $50 purchase, which equals $100.

Next, we need to calculate the balance for the remaining days:

Days 4-20: The balance remains constant at $200 for 17 days, so the total balance for these days is 17 [tex]\times[/tex] $200 = $3,400.

Days 21-30: The balance is $50 due to a $150 payment made.

To calculate the finance charge on the average daily balance, we need to determine the total balance for the entire 30-day period.

Summing up the balances for each period:

Balance for the first 3 days: $100

Balance for days 4-20: $3,400

Balance for days 21-30: $50

Total balance for the 30-day period: $100 + $3,400 + $50 = $3,550

Now, to calculate the finance charge, we multiply the total balance by the monthly interest rate.

The monthly interest rate can be found by dividing the annual percentage rate (APR) by 12.

Monthly interest rate = 28.5% / 12 = 0.02375

Finance charge = Total balance [tex]\times[/tex] Monthly interest rate = $3,550 [tex]\times[/tex]0.02375 ≈ $84.3125

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Answer:

= 3

Step-by-step explanation

I am sorry if I am wrong

Answer:

Step-by-step explanation:

Answer:

X=4 hope I help

Step-by-step explanation:

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The estimated area under the graph of the given function between x = -4 and x = 2 for each of the given cases is as follows:

a) Using a lower sum with two rectangles of equal width = 60

b) Using a lower sum with four rectangles of equal width = 60

c) Using an upper sum with two rectangles of equal width = 40

d) Using an upper sum with four rectangles of equal width = 40

The given function is f(x) = 8 - x² - 2x. We are required to use finite approximations to estimate the area under the graph of the given function between x = -4 and x = 2 for each of the following cases:

Solution a) Using a lower sum with two rectangles of equal width:

Let us use two rectangles of equal width. Hence, the width of each rectangle is given by:$$\Delta x = \frac{b-a}{n} = \frac{2-(-4)}{2} = 3$$

The x-values for each rectangle can be determined as:$$x_1 = -4, x_2 = -4+3 = -1, x_3 = -1+3 = 2$$

Therefore, the area under the curve is given by:$$A = f(x_1)Δx + f(x_2)Δx = [8-(-4²)-2(-4)](3) + [8-(-1²)-2(-1)](3)$$$$= 60$$

Solution b)Using a lower sum with four rectangles of equal width :Let us use four rectangles of equal width. Hence, the width of each rectangle is given by:$$\Delta x = \frac{b-a}{n} = \frac{2-(-4)}{4} = 1.5$$

The x-values for each rectangle can be determined as:$$x_1 = -4, x_2 = -4+1.5 = -2.5, x_3 = -2.5+1.5 = -1, x_4 = -1+1.5 = 0.5, x_5 = 0.5+1.5 = 2$$

Therefore, the area under the curve is given by:$$A = f(x_1)Δx + f(x_2)Δx + f(x_3)Δx + f(x_4)Δx$$$$= [8-(-4²)-2(-4)](1.5) + [8-(-2.5²)-2(-2.5)](1.5) + [8-(-1²)-2(-1)](1.5) + [8-(0.5²)-2(0.5)](1.5)$$$$= 60$$

Solution c) Using an upper sum with two rectangles of equal width:

Let us use two rectangles of equal width. Hence, the width of each rectangle is given by:$$\Delta x = \frac{b-a}{n} = \frac{2-(-4)}{2} = 3$$

The x-values for each rectangle can be determined as:$$x_1 = -4+3 = -1, x_2 = 2$$

Therefore, the area under the curve is given by:$$A = f(x_1)Δx + f(x_2)Δx = [8-(-1²)-2(-1)](3) + [8-(2²)-2(2)](3)$$$$= 40$$

Solution d) Using an upper sum with four rectangles of equal width :Let us use four rectangles of equal width.

Hence, the width of each rectangle is given by:$$\Delta x = \frac{b-a}{n} = \frac{2-(-4)}{4} = 1.5$$

The x-values for each rectangle can be determined as:$$x_1 = -2.5, x_2 = -1, x_3 = 0.5, x_4 = 2$$

Therefore, the area under the curve is given by:$$A = f(x_1)Δx + f(x_2)Δx + f(x_3)Δx + f(x_4)Δx$$$$= [8-(-2.5²)-2(-2.5)](1.5) + [8-(-1²)-2(-1)](1.5) + [8-(0.5²)-2(0.5)](1.5) + [8-(2²)-2(2)](1.5)$$$$= 40$$

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a) In the least-squares line y = 5 - 2x, the slope is -2 and the y-intercept is 5.  b) Since the slope of the line is -2, a change of 1 unit in x would cause a change of 2 units in y. c) When two variables have a negative linear correlation, the slope of the least-squares line is negative.

The least-squares line, also known as the linear regression line, is a straight line that shows the connection between two variables that are linearly related.

A straight line is used to connect two points, and the least-squares line is the line that connects the points with the smallest amount of error or the smallest amount of distance between the points and the line.

The formula for the least-squares line is given by y = mx + b,

where m is the slope of the line and b is the y-intercept.

In the least-squares line

y = 5 - 2x,

the slope is -2, and the y-intercept is 5.

The slope of the line tells us how much y changes when x changes by one unit. In this case, since the slope is -2, a change of 1 unit in x would cause a change of 2 units in y.

When two variables have a negative linear correlation, the slope of the least-squares line is negative.

A negative correlation means that when one variable increases, the other variable decreases.

For example, if we look at the correlation between temperature and snowfall, we would expect a negative correlation. As temperature increases, we would expect snowfall to decrease.

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The merger profitable is c ≤ 2.5. The value of c that makes the price decrease is c > 0.

1) Value for c such that the merger becomes profitable:

To calculate the value of c that makes the merger profitable, we must follow the following steps:

First, let's calculate the total output of the industry, which is:

Q = q1 + q2 + q3 + q4

Second, we must determine the total cost of production (TC) of each firm, which is:

TC = C*q,

where C is the marginal cost of each firm.

Third, we must determine the total cost of production of the industry, which is:

TC = C*(q1 + q2 + q3 + q4)

Fourth, we must determine the total revenue of the industry, which is:

TR = P*Q, where P = 10 - Q

Then, we can calculate the profit (Π) of each firm, which is given by:

Π = TR - TC

And, finally, we can calculate the total profit (Π) of the industry, which is given by:

Π = TR - TC * 4, where 4 is the number of firms in the industry.

Now, let's substitute the expressions we found for TR and TC into the equation for Π:

Π = (10 - Q)*Q - C*(q1 + q2 + q3 + q4) * 4

Π = (10 - (q1 + q2 + q3 + q4))*(q1 + q2 + q3 + q4) - C*(q1 + q2 + q3 + q4) * 4

Π = (10 - Q)*(Q) - C*Q * 4

Π = 10Q - Q² - 4CQ

Now, we must differentiate Π with respect to Q and equate it to zero to find the value of Q that maximizes profit:

Π' = 10 - 2Q - 4C = 0

Π' = 10 - 2(Q) - 4(C)

= 0Q

= 5 - 2C

The value of c that makes the merger profitable is c ≤ 2.5.

To verify that this is true, we can substitute this value of Q into the equation for Π and check if it is positive:

Π = 10Q - Q² - 4CQ

Π = 10(5 - 2C) - (5 - 2C)² - 4C(5 - 2C)

Π = 50 - 20C - (25 - 20C + 4C²) - 20C + 8C²

Π = 3C² - 30C + 25

Π = 3(C - 2.5)² - 3.75

Since Π is positive for c ≤ 2.5, the merger is profitable for c ≤ 2.5.2) Value for c such that the price decreases post-merger:

To calculate the value of c that makes the price decrease after the merger, we must follow the following steps:

First, let's calculate the output of each firm before the merger, which is given by:

q = (10 - C - q)/3, where q is the output of each firm.

Second, let's calculate the total output of the industry before the merger, which is given by:

Q = 4q

Third, let's calculate the price before the merger, which is given by:

P = 10 - Q

Substituting Q and q into this equation, we get:

P = 10 - 4q

Since the firms have the same marginal cost, their output levels are the same.

Thus, after the merger, the new output level of the merged firm is Q' = 4Q/2 = 2Q, and the price is given by:

P' = 10 - Q'

To find the value of c that makes the price decrease, we must compare P and P':

P = 10 - 4c/3

P' = 10 - 8c/3

To find the value of c that makes P' < P, we must solve the inequality:

P' < P

P' - P < 0-8c/3 + 4c/3 < 0-4c/3 < 0c > 0

Thus, the value of c that makes the price decrease is c > 0.

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Answer:The domain of the function A(x) = -220x + 4180 represents the valid inputs or values of x in the context of the problem. In this case, the context is the monthly spending on advertisements for a realtor with a budget of $4,180.

Since the realtor's budget is fixed at $4,180, the domain of the function would be the range of valid values for x that represent the number of months the realtor can spend on advertisements.

In this situation, it would be reasonable to assume that the realtor cannot spend a negative number of months on advertisements. Additionally, the realtor cannot spend more months on advertisements than the total duration of their budget, which is determined by dividing the budget by the monthly spending.

To find the domain, we need to consider the restrictions mentioned above. Therefore, the domain would be:

x ≥ 0 and x ≤ 4180 / 220

Simplifying the inequality:

x ≥ 0 and x ≤ 19

So, the domain of the function A(x) would be the set of non-negative integers less than or equal to 19.

a. The cost of the Fallon Energy stock was $40,200.

b. The commission was $96.34.

c. The total value of the stocks, including the commission, was $96,826.34.

a. To find the cost of the Fallon Energy stock, we multiply the number of shares (2,000) by the price per share ($20.10):

Cost of Fallon Energy stock = 2,000 shares * $20.10/share = $40,200.

Therefore, the cost of the Fallon Energy stock was $40,200.

b. The commission is calculated as 0.1% of the cost of the stock. To find the commission for the Fallon Energy stock, we multiply the cost of the stock ($40,200) by 0.1% (0.001):

Commission for Fallon Energy stock = $40,200 * 0.001 = $40.20.

Similarly, for the MacWord Scientific stock, we calculate the commission by multiplying the cost of the stock ($56.24/share) by 0.1% (0.001) and the number of shares (1,500):

Commission for MacWord Scientific stock = 1,500 shares * $56.24/share * 0.001 = $84.36.

Therefore, the total commission for both stocks is $40.20 + $84.36 = $124.56.

c. To calculate the total value of the stocks including the commission, we add the cost of the stocks and the commission:

Total value of the stocks including commission = Cost of Fallon Energy stock + Cost of MacWord Scientific stock + Commission for both stocks

= $40,200 + (1,500 shares * $56.24/share) + $124.56

= $40,200 + $84,360 + $124.56

= $124,684.56.

Therefore, the total value of the stocks, including the commission, is $124,684.56.

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Answer:

444/5

Step-by-step explanation:

Answer:

88.8

Step-by-step explanation:

10^2 is 100, so dividing 8880 by 100 is equal to 88.8

Let the first of the two consecutive integers be n. Then the next consecutive integer is n+1.

From the given information, we can form an inequality, which is:2n + (n+1) ≥ 25

The above inequality is formed from the statement "Twice the smaller of two consecutive integers increased by the larger integer is at least 25". Now, let's solve this inequality and find the values of n that satisfy it.2n + (n+1) ≥ 25Simplifying the above inequality, we get:3n + 1 ≥ 25

Subtracting 1 from both sides, we get:3n ≥ 24

Dividing both sides by 3, we get:n ≥ 8

Hence, the first of the two consecutive integers is greater than or equal to 8.

Therefore, the two consecutive integers that satisfy the given information are 8 and 9.

Now, we need to check which of the given values, 7, 8, or 9, satisfy the above inequality. Let's check for

n=7.2n + (n+1) = 2(7) + (7+1) = 15 < 25

Therefore, n=7 is not a solution.

Let's check for n=8.2n + (n+1) = 2(8) + (8+1) = 25 ≥ 25

Therefore, n=8 is a solution. Let's check for n=9.2n + (n+1) = 2(9) + (9+1) = 28 ≥ 25

Therefore, n=9 is also a solution.

Thus, we have found that the solutions to the given problem are n=8 and n=9.

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To find out the amount of olive oil needed for 4 tablespoons of lemon juice, we have to express the amount of olive oil in terms of j, where j is the number of tablespoons of lemon juice used in the recipe.The recipe states that for every 4 tablespoons of lemon juice, we need 3/4 cups of olive oil.

That can be written as:3/4 cups of olive oil :

4 tablespoons of lemon juice To express the amount of olive oil in terms of j,

we can use ratios:3/4 cups of olive oil : 4 tablespoons of lemon juice = x cups of olive oil : j tablespoons of lemon juice

Cross-multiplying, we get:3/4 cups of olive oil * j tablespoons of lemon juice = 4 tablespoons of lemon juice * x cups of olive oil12 tablespoons of olive oil = 4x cups of olive oilx = 12/4x = 3

Therefore, the expression to show the amount of olive oil needed in the recipe is:

3/4 cups of olive oil : 4 tablespoons of lemon juice = 3 cups of olive oil : j tablespoons of lemon juice

Answer: The expression to show the amount of olive oil needed in the recipe is 3 cups of olive oil : j tablespoons of lemon juice.

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Answer:

6

Step-by-step explanation:

Answer:

[tex]x = \frac{1}{5}[/tex] or [tex]0.2[/tex] (they're the same)

I hope this helps!

Answer:

Step-by-step explanation:

The mean and standard deviation of a binomial distribution with n = 900 and p = 1/3 can be determined as follows:

Mean = n * p = 900 * (1/3) = 300

Standard Deviation = √(n * p * (1 - p)) = √(900 * (1/3) * (2/3)) ≈ 14.14

In a binomial distribution, the mean (μ) represents the average number of successes that can be expected in a given number of trials. It is calculated by multiplying the number of trials (n) by the probability of success (p). In this case, with n = 900 and p = 1/3, the mean is obtained by multiplying 900 by 1/3, resulting in 300.

The standard deviation (σ) of a binomial distribution measures the amount of dispersion or variability in the distribution. It is calculated using the formula √(n * p * (1 - p)). By substituting the given values into the formula, we can compute the standard deviation as approximately 14.14.

Therefore, the mean and standard deviation of the binomial distribution with n = 900 and p = 1/3 are 300 and 14.14, respectively.

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Answer: -7,466 I would think.

Step-by-step explanation:

Answer: Id go with the first answer if its multiple choice

Step-by-step explanation:

they had 3 more plays where they scored 5 points (3x5)

but they lost 3 in the beggining (-12)

Answer:

Yes

Step-by-step explanation:

Whenever you have an absolute value function it will always be a one-to-one function unless the slop of the line is altered.

We need to determine whether the given function is one-to-one.

The given function is not one-to-one as explained below.

The given function is [tex]y=|x-7|[/tex]

In a one-to-one function each value of [tex]y[/tex] has only one value in [tex]x[/tex] and vice versa.

Let us use an example with the given equation.

[tex]x=4[/tex]

[tex]y=|4-7|=3[/tex]

[tex]x=10[/tex]

[tex]y=|10-7|=3[/tex]

So, for the same value of [tex]y[/tex] there are two values of [tex]x[/tex].

Hence, the given function is not one-to-one.

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Answer:

y=45+5

=50

Step-by-step explanation:

Answer:

Transpose -5 to the other side so it becomes 45 + 5 which is equal to 50. Therefore, the value of y is 50.

The coordinates of point N are approximately (7.06, 10.74).

To find the coordinates of point N, we need to determine the position of N relative to points L and M. Since LMN is a straight line and the ratio of LM to MN is given as 3:4, we can use this information to find the coordinates of N.

Let's start by calculating the differences in the x-coordinates and y-coordinates between points L and M:

Δx = x-coordinate of M - x-coordinate of L = 5 - (-4) = 9

Δy = y-coordinate of M - y-coordinate of L = 8 - 3 = 5

Since the ratio of LM to MN is 3:4, we can express the differences in x-coordinates and y-coordinates as fractions:

Δx/LM = 3/7

Δy/LM = 4/7

To find the differences in x-coordinates and y-coordinates between points L and N, we can multiply the fractions by the length of MN:

Δx = (Δx/LM) * MN = (3/7) * MN

Δy = (Δy/LM) * MN = (4/7) * MN

Substituting the given values for Δx and Δy, we have:

9 = (3/7) * MN

5 = (4/7) * MN

To solve for MN, we can set up an equation using the two equations above:

9/(3/7) = 5/(4/7)

Simplifying, we have:

(9 * 7) / 3 = (5 * 7) / 4

21 = 35/4 * MN

Multiplying both sides by 4/35, we get:

MN = (21 * 4) / 35 = 84 / 35 = 24/5

Now that we know the length of MN, we can find its coordinates by adding the differences to the coordinates of point M:

x-coordinate of N = x-coordinate of M + Δx = 5 + (3/7) * (24/5) = 5 + 72/35 = 5 + 2.06 (rounded) ≈ 7.06

y-coordinate of N = y-coordinate of M + Δy = 8 + (4/7) * (24/5) = 8 + 96/35 = 8 + 2.74 (rounded) ≈ 10.74.

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x=  

44

------                          <-------- fraction

201                  

​  =4.568

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

i have a friesian horse named butters he is a male!

Answer:  A

Step-by-step explanation: I think it's point A.

Answer:

see below

Step-by-step explanation:

The first had 2 dots

The second has 4 dots

The third has 8 dots

The number of dots is doubling each time

D(n) =  2^n

This is a geometric sequence, we are multiplying the number of dots by 2 each time we  go to the next stage

The geometric formula is

xn = a r^(n-1)  where n is the stage and a is the number in the first stage and r is the common ratio

Answer: a) 7        b) -4         c) 15         d) -1        e) -8

Step-by-step explanation:

7x + 9 = 58

     -9   -9

7x       =  49

÷7         ÷7  

  x      =   7

x/2 - 12 =  -14

      +12   +12

x/2       =   -2

×2          ×2  

  x      =    -4

-3x + 33 =  -12

       -33   -33

-3x         =  -45

÷-3         ÷-3  

  x         =   15

8x + 16 =    8

      -16   -16

8x        =   -8

÷8          ÷8  

  x      =    -1

2x - 2 = -18

     +2   +2

2x       = -16

÷2         ÷2  

  x      =  -8

Answer:

Evelyn has 11 rocks.

Step-by-step explanation:

I first made an equation for the father's rocks.

5 + 4x = 49

X is Evelyn's rocks. We subtract the 5 from each side to get,

4x = 44, dividing each side by 4, we get X = 11.

We can double-check our answer by multiplying 11 by 4 and adding 5 to it. We get 49 doing this, proving our answer.

Answer:

-12288, 98304, -786532

Step-by-step explanation:

each number in the sequence is multiplied by -8