If 11x+4=7+9x

what does x=???/

Answer:

huh???

Step-by-step explanation:

how does that make sence

2 is the numerical expression when  2 to the power of five sixths.

What are power and exponent?

 \(2^{5/6} * 2^{1/6}\)

 \(2^{6/6}\)

  2¹

 = 2

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Answer:

3/4

Step-by-step explanation:

1/4 x 3/1 = 3/4

Every whole number has a /1 under it! So when multiplying you do 1/4 x 3/1.

If you are confused, basically all you do is multiply 1 and 3 (numerators) then 4 and 1 (denominators)

The multiplication of 1/4 and 3 comes to be 3/4.

We know that every number has 1 in its denominator.

So, \(\frac{1}{4} *3\) can be written as \(\frac{1}{4} *\frac{3}{1}\)

To multiply two fractions, multiply the numerator of the first fraction to the numerator of the second fraction followed by multiplication of the denominator of the first fraction to the denominator of the second fraction.

So, \(\frac{1}{4} *\frac{3}{1} = \frac{1*3}{4*1}\)

\(\frac{1}{4} *\frac{3}{1} = \frac{3}{4}\)

So, multiplication of 1/4 and 3 = 3/4

Therefore, the multiplication of 1/4 and 3 comes to be 3/4.

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Answer:

27 is 30% of what number?

D. 90

Step-by-step explanation:

You're welcome.

Answer:

The answer is D.

TRUST ME :)

Step-by-step explanation:

Answer:

D.) The fourth graph

Step-by-step explanation:

Answer:

16 and 5

Step-by-step explanation:

Hope that helps! :)

Answer:

Hey there. I will just tell u how to do it. First find the altitude of all the right angles triangles. Then find the area of the triangles and then add them. That will be the area of the quadrilateral.

Hope u can solve it!

Check the picture below.

Answer:

$37.92+$10=$27.92

so a money will each person get back is $27.92

The number 8*1000+4*10*2*1/10+3*1/100+5*1/1000+6*1/10000 has its standard form give mathematically as

8 × 10^0, 1 × 10^3,  4× 10^0, 1*10^1, 9 × 10^0,  2 × 10^0,  1*10^{-1}, 3 × 10^0, 1*10^{-2}, 5 × 10^0, 1*10^{-3}, 6 × 10^0, 1*10^{-5} respectively.

What is the standard form of each number?

Generally, the standard form  of each number is

8=8 × 10^0

1000=1 × 10^3

4= 4× 10^0

10=1*10^1

9=9 × 10^0

2= 2 × 10^0

1/10= 1*10^{-1}

3=3 × 10^0

1/100=1*10^{-2}

5=5 × 10^0

1/1000=1*10^{-3}

6=6 × 10^0

1/10000=1*10^{-5}

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The general solution to the given differential equation is

y = ± √(1 / (2ln|t| + 4/t - C2))

To solve the given differential equation, we can use the method of separable variables. Let's go through the steps:

Rearrange the equation to separate the variables:

t^2y' + 2ty - y^3 = 0

Divide both sides of the equation by t^2:

y' + (2y/t) - (y^3/t^2) = 0

Now, we can rewrite the equation as:

y' + (2y/t) = (y^3/t^2)

Separate the variables by moving the y-related terms to one side and the t-related terms to the other side:

(1/y^3)dy = (1/t - 2/t^2)dt

Integrate both sides of the equation:

∫(1/y^3)dy = ∫(1/t - 2/t^2)dt

To integrate the left side, let's use a substitution. Let u = y^(-2), then du = -2y^(-3)dy.

-1/2 ∫du = ∫(1/t - 2/t^2)dt

-1/2 u = ln|t| + 2/t + C1

-1/2 (y^(-2)) = ln|t| + 2/t + C1

Multiply through by -2:

y^(-2) = -2ln|t| - 4/t + C2

Now, take the reciprocal of both sides to solve for y:

y^2 = (-1) / (-2ln|t| - 4/t + C2)

y^2 = 1 / (2ln|t| + 4/t - C2)

Finally, taking the square root:

y = ± √(1 / (2ln|t| + 4/t - C2))

Therefore, the general solution to the given differential equation is:

y = ± √(1 / (2ln|t| + 4/t - C2))

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An invertible matrix PP and a diagonal matrix is\(A^6 = \begin{bmatrix} 5 & -1 \ -3 & 6 \end{bmatrix} \begin{bmatrix} 1000000 & 0 \ 0 & 531441 \end{bmatrix} \frac{1}{33} \begin{bmatrix} 6 & 1 \ 3 & 5 \end{bmatrix}\)

Step 1: Find the eigenvalues of matrix A:

The first step is to find the eigenvalues of matrix A. The eigenvalues are the values λ for which the equation Av = λv holds true, where v is a non-zero vector. We solve this equation by finding the values of λ that satisfy the equation (A - λI)v = 0, where I is the identity matrix.

Let's find the eigenvalues:

\(A - λI = \begin{bmatrix} 13 - λ & 5 \ -30 & -12 - λ \end{bmatrix}\)

Setting the determinant of (A - λI) to zero will give us the characteristic equation, which we can solve to find the eigenvalues.

det(A - λI) = (13 - λ)(-12 - λ) - (5)(-30)

= λ² - λ - 90

Setting the determinant equal to zero and solving the quadratic equation, we find the eigenvalues:

λ² - λ - 90 = 0

Factoring the quadratic equation, we have:

(λ - 10)(λ + 9) = 0

So the eigenvalues are λ = 10 and λ = -9.

Step 2: Find the eigenvectors corresponding to the eigenvalues:

For each eigenvalue, we need to find the corresponding eigenvector. We do this by solving the equation (A - λI)v = 0.

For λ = 10:

\((A - 10I)v = \begin{bmatrix} 3 & 5 \ -30 & -22 \end{bmatrix}v = 0\)

Solving this system of equations, we find that \(v = \begin{bmatrix} 5 \ -3 \end{bmatrix}\) is an eigenvector corresponding to the eigenvalue λ = 10.

For λ = -9:

\((A + 9I)v = \begin{bmatrix} 22 & 5 \ -30 & -3 \end{bmatrix}v = 0\)

Solving this system of equations, we find that \(v = \begin{bmatrix} -1 \ 6 \end{bmatrix}\) is an eigenvector corresponding to the eigenvalue λ = -9.

Step 3: Assemble the invertible matrix P:

To assemble the invertible matrix P, we use the eigenvectors as column vectors. In this case, we have:

\(P = \begin{bmatrix} 5 & -1 \ -3 & 6 \end{bmatrix}\)

Step 4: Form the diagonal matrix D:

The diagonal matrix D is formed by placing the eigenvalues on the diagonal. In this case, we have:

\(D = \begin{bmatrix} 10 & 0 \ 0 & -9 \end{bmatrix}\)

Step 5: Find the inverse of matrix P:

To find the inverse of matrix P, we can use the formula for a 2x2 matrix:

\(P^{-1} = \frac{1}{ad - bc} \begin{bmatrix} d & -b \ -c & a \end{bmatrix}\)

Where a, b, c, and d are the elements of matrix P:

\(P^{-1} = \frac{1}{(5)(6) - (-1)(-3)} \begin{bmatrix} 6 & 1 \ 3 & 5 \end{bmatrix}\)

Simplifying, we get:

\(P^{-1} = \frac{1}{33} \begin{bmatrix} 6 & 1 \ 3 & 5 \end{bmatrix}\)

Step 6: Express A⁶ in terms of P, D, and P⁻¹:

Now that we have P, D, and P⁻¹, we can express A⁶ using the formula A⁶ = PD⁶P⁻¹.

Substituting the values we found earlier:

\(A^6 = \begin{bmatrix} 5 & -1 \ -3 & 6 \end{bmatrix} \begin{bmatrix} 10 & 0 \ 0 & -9 \end{bmatrix}^6 \frac{1}{33} \begin{bmatrix} 6 & 1 \ 3 & 5 \end{bmatrix}\)

Since D is a diagonal matrix, raising it to the power of 6 is simply a matter of raising each diagonal element to the power of 6:

\(D^6 = \begin{bmatrix} (10)^6 & 0 \ 0 & (-9)^6 \end{bmatrix}\)

Calculating the powers, we have:

\(D^6 = \begin{bmatrix} 1000000 & 0 \ 0 & 531441 \end{bmatrix}\)

Finally, substituting D⁶ into the expression for A⁶, we get:

\(A^6 = \begin{bmatrix} 5 & -1 \ -3 & 6 \end{bmatrix} \begin{bmatrix} 1000000 & 0 \ 0 & 531441 \end{bmatrix} \frac{1}{33} \begin{bmatrix} 6 & 1 \ 3 & 5 \end{bmatrix}\)

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Answer: 3 cups

Step-by-step explanation:

3/4 x 4/1  = 12/4 simplified to make the denominato to be a 1 so you divide both the numerator, which is 12, and the denominator, which is 4, by 4 so you end up with 3/1 which is 3 cups.

The probability of drawing two black balls, given the first one is black, is 1/3, and the probability of drawing two white balls, given that at least one of the balls is white, is 7/12.


The probability of drawing two black balls, given the first one is black, is 4/12, or 1/3. This is because when the first ball is replaced, there are still five black balls and seven white balls in the jar. As such, the probability of drawing the second black ball is 4/12.

2. The probability of drawing two white balls, given that at least one of the balls is white, is 7/12. This is because when the first ball is replaced, there are still seven white balls in the jar. As such, the probability of drawing the second white ball is 7/12.

In conclusion, the probability of drawing two black balls, given the first one is black, is 1/3, and the probability of drawing two white balls, given that at least one of the balls is white, is 7/12.

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Using exponential function it will take approximately 2.6 years for the population to reach 26676

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). An exponential function can be in one of the following forms.

The formula given in this question is

P(t) = 988(3.5)ˣ

The time it will take to reach a population of 26676 is

26676 = 988(3.5)ˣ

x = 2.6 years

It will take approximately 2.6 years

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The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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D- Most babysit because it pays more per-hour.

The reason this is the correct answer is because the question said which is NOT a valid response. This one is not because it didnt tell you how much they get paid per-hour so its incorrect.

Hope this helps!

Have a great day!

- Hailey

Answer:

Candy canes are a classic Christmas treat, traditionally white with red stripes and flavored with peppermint. They have been popular since the 1600s and are thought to have originated in Germany. Today, 90 percent of all candy canes are sold between Thanksgiving and Christmas.

In a bag of Christmas treats, there are 3 red candy canes for every 5 gingerbread men. If there total is 40 treats, then the number of candy canes will be 24. This can be calculated by taking 40 divided by 8 (5+3) which equals 5, and then multiplying this by 3 which equals 15. Therefore, 24 candy canes are included in the bag of 40 Christmas treats.

Step-by-step explanation:

Answer:

(1). \(h(t)=-4(t-1)^2+36\)

(2). 1 minute

Step-by-step explanation:

Answer:

A = s^2

Step-by-step explanation:

The area of a square can be found by multiplying the side by its side.

A = side x side = s^2

So if the side of a square is 3, to find the are you would multiply 3 times 3. Giving you an area of 9.

Mix 8 pounds of candy corn with 12 pounds of peanuts to create a 20-pound mixture costing $0.73 per pound.

To determine the amount of candy corn and peanuts that must be mixed to create a 20-pound mixture costing $0.73 per pound, follow these steps:

Step 1: Assign Variables

Let's assign variables to the unknown quantities:

- Let x be the amount of candy corn (in pounds).

- Let y be the amount of peanuts (in pounds).

Step 2: Set up Equations

We can set up two equations based on the given information:

- Equation 1: x + y = 20 (total weight of the mixture is 20 pounds)

- Equation 2: (0.49x + 0.89y) / 20 = 0.73 (cost per pound of the mixture is $0.73)

Step 3: Simplify Equation 2

Multiply both sides of Equation 2 by 20 to eliminate the fraction:

0.49x + 0.89y = 0.73 * 20

0.49x + 0.89y = 14.6

Step 4: Solve the System of Equations

We can solve the system of equations consisting of Equation 1 and the simplified Equation 2.

Method 1: Substitution

Solve Equation 1 for x:

x = 20 - y

Substitute this value of x into Equation 2:

0.49(20 - y) + 0.89y = 14.6

Simplify and solve for y:

9.8 - 0.49y + 0.89y = 14.6

0.4y = 4.8

y = 12

Substitute the value of y back into Equation 1 to solve for x:

x + 12 = 20

x = 8

Method 2: Elimination

Multiply Equation 1 by 0.49 and Equation 2 by 100 to eliminate decimals:

0.49x + 0.49y = 9.8

49x + 89y = 1460

Multiply Equation 1 by -89 and Equation 2 by 49 to eliminate x:

-89x - 89y = -1780

49x + 89y = 1460

Add the two equations:

-40x = -320

x = 8

Substitute the value of x back into Equation 1 to solve for y:

8 + y = 20

y = 12

Step 5: Check the Solution

Ensure that the solution satisfies Equation 2:

(0.49x + 0.89y) / 20 = 0.73

(0.49 * 8 + 0.89 * 12) / 20 = 0.73

14.6 / 20 = 0.73

0.73 = 0.73

Step 6: Interpret the Solution

The mixture should contain 8 pounds of candy corn and 12 pounds of peanuts to create a 20-pound mixture costing $0.73 per pound.

Therefore, to achieve the desired mixture, 8 pounds of candy corn and 12 pounds of peanuts should be mixed.

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Answer:

21.5 feet

Step-by-step explanation:

d = Distance of the bottom of the tower to the point of observation

x = Height of the top section of the tower

a = Height of bottom section

b = Total height of tower

\(\tan28^{\circ}=\dfrac{a}{d}\\\Rightarrow a=d\tan28^{\circ}\\\Rightarrow a=70\tan28^{\circ}\)

\(\tan40^{\circ}=\dfrac{b}{d}\\\Rightarrow b=d\tan40^{\circ}\\\Rightarrow b=70\tan40^{\circ}\)

\(x=b-a\\\Rightarrow x=70\tan40^{\circ}-70\tan28^{\circ}\\\Rightarrow x=70(\tan40^{\circ}-\tan28^{\circ})\\\Rightarrow x=21.5\ \text{feet}\)

The height of the top section of the tower is 21.5 feet.

Kathy's average daily balance over the month can be calculated by taking the sum of all daily balances and dividing by the number of days in the month. Using the provided model, we can find the total daily balances as follows:

332 + 285 + 0 + 30 + 160 + 204 = 1011

Dividing this by the number of days in the month (30), we get an average daily balance of $33.70. Since this is less than the required $300, Kathy will have to pay the $10 monthly fee.

It's worth noting that if Kathy had maintained an average daily balance of $300 or more, she would have earned a monthly interest payment of 1.4% of her average balance, which would have been a nice bonus on top of avoiding the monthly fee.

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Answer:

b) second place is your anser

Answer:

B) 2nd place

Step-by-step explanation:

The polynomial that satisfies the conditions is: p(t) = (1/4)(t - 1)² (t - 2)³

This polynomial has a root of multiplicity 2 at t = 1 and a root of multiplicity 3 at t = 2, and also satisfies p(0) = 2 and p'(0) = 1.

The other root of p(t) can be found by factoring the polynomial further, but since the degree of the polynomial is 6, it will have 3 additional roots, which can be found using various mathematical methods such as the Rational Root Theorem or numerical methods.

Polynomials are mathematical expressions that involve variables raised to a power and are combined using addition and subtraction operations. The degree of a polynomial is the highest power of the variable in the expression.

A zero of a polynomial is a value of the variable for which the polynomial evaluates to zero. The multiplicity of a zero is the number of times the factor (t - zero) appears in the polynomial's factorization.

Given the conditions that the polynomial p(t) has a zero of multiplicity 2 at t = 1 and a zero of multiplicity 3 at t = 2, we can write p(t) as the product of factors (t - 1)² and (t - 2)³:

p(t) = a(t - 1)² (t - 2)³

where a is some constant. To find the value of a, we use the fact that p(0) = 2 and p'(0) = 1. We evaluate p(0) and p'(0) using the polynomial expression above, then solve for a.

First, we find p(0):

p(0) = a(0 - 1)² (0 - 2)³ = a(-1)² (-2)³ = a * 8

Next, we find p'(0):

p'(t) = 2a(t - 1)(t - 2)³ + a(t - 1)² * 3(t - 2)²

p'(0) = 2a(-1)(-2)³ + a(-1)² * 3(-2)² = 16a + 12a = 28a

Now that we have expressions for p(0) and p'(0), we can solve for a:

p(0) = a * 8 = 2 => a = 1/4

p'(0) = 28a = 1 => 28 * 1/4 = 1

So the polynomial that satisfies the conditions is:

p(t) = (1/4)(t - 1)² (t - 2)³

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Answer:0.18%

Step-by-step explanation: It is simply but how you know that it is a percentage and you then have to add it as a decimal.

Answer: Choice C

The angle opposite N is going to involve endpoints other than N. So it will involve point I and point M to form segment IM.