5. Find the value of x.
48
8x

Answer:

3!*7+12-2=

(3*2*1)*7+12-2=

6*7+12-2=

42+12-2=

54-2=

52

Hello!

Answer:

22-3= 19

Step-by-step explanation:

Hope this helps!

When computing the elasticity of demand for the given demand equation, we get ε = [dp/dx * x/p]

Given the equation for the demand p = 148 - x² and given the price p = 296/3

We know that demand is elastic when the absolute value of ε > 1, inelastic when the absolute value of ε < 1, and unitary when the absolute value of ε = 1.

Thus, let us first compute the derivative of p with respect to x as follows dp/dx = -2x

Next, let us substitute the given price p, and then solve for x in the equation p = 148 - x²:296/3 = 148 - x²

x² = 148 - 296/3x² = 296/3

Thus, x = ± sqrt(296/3)

Now, we will substitute this value of x into the expression for the elasticity of demand to determine the elasticity of demand.

ε = [dp/dx * x/p]

For x = sqrt(296/3), ε = [-2(sqrt(296/3)) / (148 - (296/3))]

ε = -1.030

Since the absolute value of ε > 1, the demand is elastic. Therefore, the given demand is elastic at a price of 296/3.

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Answer:

volume = 31.5w  

Step-by-step explanation:

A rectangular prism is a 3 dimensional figure that have 6 faces that are rectangular in shape. To ascertain the volume of a rectangular prism you need to know the length, width and height. The formula for the volume of a rectangular prism is represented below .

volume of a rectangular prism = LHW

where

L= length

H = height

W = width

volume = LHW

L = 7.5 ft

W = w ft

H = 4.2 ft

The expression for the volume of a rectangular prism with the following value above can be represented below.

volume = 4.2 × 7.5 × w

volume = 31.5w  

Members of a soccer team raised $1719 to go to a tournament. They rented a bus for $1051. 50 and budgeted $44. 50 per player for meals. The equation that can be used to determine x, the number of players the team can bring to the tournament is;

Let the number of players the team can bring to the tournament be x The amount of money spent on renting a bus is $1051.50 The amount of money budgeted for meals per player is $44.50 Therefore, the total cost for renting the bus and budgeted meal is; $1051.50 + $44.50x The amount of money raised by the team is $1719 Therefore, the equation to determine x is; 1051.50 + 44.50x = 1719 To find the value of x, we will isolate x to one side of the equation. 1051.50 + 44.50x = 1719 Subtract 1051.50 from both sides 44.50x = 1719 - 1051.50

Simplify 44.50x = 667.50

Divide both sides by 44.50x = 15.

The equation that can be used to determine x, the number of players the team can bring to the tournament is; 1051.50 + 44.50x = 1719 To find the value of x, we will isolate x to one side of the equation. 1051.50 + 44.50x = 1719

Subtract 1051.50 from both sides 44.50x = 1719 - 1051.50

Simplify 44.50x = 667.50

Divide both sides by 44.50x = 15 Thus, the number of players the team can bring to the tournament is 15 players.

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the adems vibrate to make angles shift in an illusiun in a problem so its simpley cordaography

The volume of the box as a polynomial is x³-48x²+560.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Given that, a box is created from a rectangular piece of cardboard 20 centimetres by 28 centimetres by cutting a square from each corner and folding up the sides,

Volume of a cuboid = L*B*H

Volume = x(x-20)(x-28)

= x(x²-28x-20x+560)

= x(x²-48x+560)

= x³-48x²+560x

Hence, The volume of the box as a polynomial is x³-48x²+560.

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Answer:

43

Step-by-step explanation:

250-35(from Monday)=215

215/5=43

Hope this helps!

Answer:

Step-by-step explanation:

The probability of rolling a number greater than 6 is 1/4, or 0.25 as a decimal, or 25% as a percentage.

The die has 8 equally likely possible outcomes, which are the numbers 1 through 8. The probability of rolling a number greater than 6 is the same as the probability of rolling a 7 or 8.

Since each of these two outcomes is equally likely, the probability of rolling a number greater than 6 is:

P(rolling a number greater than 6) = P(rolling a 7) + P(rolling an 8)

The probability of rolling a 7 is 1/8, and the probability of rolling an 8 is also 1/8. Therefore:

P(rolling a number greater than 6) = 1/8 + 1/8 = 2/8 = 1/4

So the probability of rolling a number greater than 6 is 1/4, or 0.25 as a decimal, or 25% as a percentage.

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7.065 sq ft

Step-by-step explanation:

A = pi*r^2

= 3.14*3^2

= 28.26

Next multiple by 1/4

28.26*0.25= 7.065sq ft

Answer: D is incorrect

Step-by-step explanation:

Answer:

( 14 , 0 )

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 3*x+6*y-(42)= Pull out like factors :

  3x + 6y - 42  =   3 • (x + 2y - 14)

Equations which are never true:   Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

the cofactor C21 is (bh - 9a) and the cofactor C32 is (ai - hb). The determinant of matrix A, | A |, cannot be determined with the given information.

To find the cofactor C21, we need to calculate the determinant of the submatrix obtained by removing the second row and first column from matrix A.

The submatrix is:

| b a |

| 9 h |

The determinant of this submatrix is given by: (bh - 9a)

Therefore, C21 = (bh - 9a)

To find the cofactor C32, we need to calculate the determinant of the submatrix obtained by removing the third row and second column from matrix A.

The submatrix is:

| a b |

| h i |

The determinant of this submatrix is given by: (ai - hb)

Therefore, C32 = (ai - hb)

Finally, to find the determinant of matrix A, we use the cofactor expansion along the first row:

| A | = a * C11 - b * C21 + c * C31

Since C11 is not given, we cannot determine the determinant of matrix A without additional information.

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Answer:

22

Step-by-step explanation:

just divide lukes votes by bianca's

The trigonometric identity, (sec(x) ÷ cos(x)) - (tan(x) ÷ cot(x)) is equivalent to the Pythagorean identity sec²(x) - tan²(x) = 1, therefore;

(sec(x) ÷ cos(x)) - (tan(x) ÷ cot(x)) = sec²(x) - tan²(x) = 1

A trigonometric identity is an equation involving trigonometric ratio which is correct for possible values of the input variables.

The specified trigonometric identities can be presented as follows;

sec(x) ÷ cos(x) - tan(x) ÷ cot(x) = 1

cos(x) = 1/sec(x)

tan(x) = 1/cot(x)

cot(x) = 1/tan(x)

Therefore; sec(x) ÷ cos(x) - tan(x) ÷ cot(x) = sec(x) ÷ (1/sec(x)) - tan(x) ÷ (1/tan(x)) = 1

Therefore;

sec(x) ÷ cos(x) - tan(x) ÷ cot(x) = sec²(x) - tan²(x)

The Pythagorean identities, indicates that we get;

sec²(x) - tan²(x) = 1

Therefore; sec(x) ÷ cos(x) - tan(x) ÷ cot(x) = sec²(x) - tan²(x) = 1

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Answer:

a. \(\frac{x+2}{x+6}\)

Step-by-step explanation:

\(\frac{x^2 + 5x+6}{x^2 +9x+18}=\frac{(x+2)(x+3)}{(x+3)(x+6)}=\frac{x+2}{x+6}\)

Answer:

They're proportional

Step-by-step explanation:

y/x always equals 5

Answer:

4 dollars to 7 dollars

Answer:

4 : 7

Step-by-step explanation:

You can just divide by the GCF.

Which is 5.

20/5 = 4

35/5 = 7

Answer:

x = 9

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

I assume the * sign is multiplication so 5x9=45

45/5=9 to find the answer also.

Hope this helps!

Answer:

n = -8, 7

Step-by-step explanation:

Your equation is:

\(\displaystyle{n^2+n=56}\)

Arrange the terms in the quadratic expression, ax² + bx + c:

\(\displaystyle{n^2+n-56=0}\)

Factor the expression, thus:

\(\displaystyle{\left(n+8\right)\left(n-7\right)=0}\)

This is because 8n-7n = n (middle term) and 8(-7) = -56 (last term). Then solve like a linear which results in:

\(\displaystyle{n=-8,7}\)

Hello!

\(\sf n^2 + n = 56\\\\n^2 + n - 56 = 0\\\\\\n = \dfrac{-b\±\sqrt{b^2-4ac} }{2a} \\\\\\n = \dfrac{-1\±\sqrt{1^2-4*1*(-56)} }{2*1}\\\\\\n = \dfrac{1\±15}{2} \\\\\\\boxed{\sf n = 7 ~or ~-8 }\)

Solution:

The number of footballs given is

The equation for basketball will be

The equation for baseball will be

The equation for softball will be

Part 2:

The table will be used to solve part 2

Answer:

9

Step-by-step explanation

First you multiply 3 five times, then you multiply 3 seven times and you divide the results of each multiplication

Answer:

0.111111111111111

Step-by-step explanation:

=> 3⁵÷3⁷

Note 3⁵ means multiplying 3 five times

And 3⁷ means multiplying 3 7 times

=> 3×3×3×3×3÷3×3×3×3×3×3×3

multiply the values and then divide

=> 243÷2,187

divide 243 by 2187

=> 0.111111111111111

Answer:

5.28000x10^5

Step-by-step explanation:

To pay off a loan of $49,000 at an annual interest rate of 9% compounded monthly, with monthly payments of $400, it will take approximately 12.9 years.

To determine the time it takes to pay off the loan, we can use the formula for the number of periods (n) in the compound interest formula. In this case, the loan amount is $49,000, the monthly payment is $400, and the monthly interest rate is 9% divided by 12 (0.09/12 = 0.0075). We can use the following formula:

\(n = -log(1 - (r * P) / A) / log(1 + r)\)

where r is the monthly interest rate, P is the monthly payment, and A is the loan amount.

Plugging in the values, we have:

\(n = -log(1 - (0.0075 * 49000) / 400) / log(1 + 0.0075)\)

Calculating this expression, we find that n is approximately 12.9 years. Therefore, it will take approximately 12.9 years to pay off the loan with monthly payments of $400, rounded to one decimal place.

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Answer:

108525975,11111111111111111111111

Answer: 108525975.111

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

divide 72 by .75 (75% as a decimal)

you can also set up a ratio and cross multiply

It sounds like you may be experiencing a bug with your Alexa device. This is likely due to a software update or miscommunication between the device and the server.

To resolve this issue, you may need to restart your device by unplugging it from the power source and plugging it back in. You can also try clearing the cache of your device. Additionally, you may need to update the software of your device by visiting the Amazon website and downloading the most recent version of the software. If the issue persists, you may need to contact Amazon customer service for further assistance.

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The effective interest on £2000 at a 3% interest rate compounded quarterly over a period of 4 years is approximately £245.15.

To calculate the effective interest, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment (including interest)

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of compounding periods per year

t = the number of years

In this case, the principal amount (P) is £2000, the annual interest rate (r) is 3% (or 0.03 as a decimal), the compounding is done quarterly (n = 4), and the investment period (t) is 4 years.

Plugging the values into the formula:

A = £2000(1 + 0.03/4)^(4*4)

= £2000(1 + 0.0075)^16

= £2000(1.0075)^16

≈ £2000(1.126825)

Calculating the future value:

A ≈ £2253.65

To find the effective interest, we subtract the principal amount from the future value:

Effective Interest = £2253.65 - £2000

≈ £253.65

Therefore, the effective interest on £2000 at a 3% interest rate compounded quarterly after 4 years is approximately £253.65.

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In order to find the sum to the indicated accuracy we need to add

5 terms  as the series is said to be convergent.

Given Series is Σ(-1/3)^n / n where error is less than 0.0005

      = Σ (-1)^n / n3^n

For this series, we will use ratio test

if \(\lim_{n \to \infty} |an + 1 / an |\) = L < 1 then series in convergent,

Let an = (-1)^n / n3^n ,  an+1 = (-1)^n+1 / (n+1)3^n+1

\(\lim_{n \to \infty} |an + 1 / an |\)   =  \(\lim_{n \to \infty} | ((-1)^n+1 / (n+1)3^n+1)(n3^n/(-1)^n) |\)

By solving we get,

\(\lim_{n \to \infty} |an + 1 / an |\) = 1/3 < 1

Then given series is convergent.

By alternating series estimation theorem we have,

|Rn|=|S-Sn| <= an+1

an+1 <= 0.0005

1 / (n+1)3^n+1 <= 0.0005

(n+1)3^n+1 >= 2000

2 * \(3^{2}\) >\(\neq\) 2000 (n=1)

4 * \(3^{4}\) >\(\neq\) 2000 (n=3)

6 *  \(3^{6}\) >= 200 (n=5)

So required terms is n=5

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