twi hundred billion,one hundred million,six hundred twenty thousand,two hundred sixty-one​

a. The given equation is \(x^2+12x+11\).

We will add and subtract 36 with the equation to get the desired form.

\(x^2+12x+11\\=(x^2+12x+36)+11-36\\=(x+6)^2-25\)

b. So the vertex is (-6, -25). This is the turning point.

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Firstly, we will need to write a general equation for the absolute value function

Answer:

a/c/z

Step-by-step explanation:

Answer:

Let men = m

let women = w

Seven times number of men = 7m

5 more than 7 times the number of men = 7m + 5

w = 7m + 5

w - 5 = 7m + 5 - 5

w - 5 = 7m

\(m = (\frac{w - 5}{7} )\)

Answer:

C

Step-by-step explanation:

Answer:

10

54

Step-by-step explanation:

negative and a negative gives you positive.

look at -(-10) there are two negatives which gives you a positive

Answer:

the negative of a negative equals a positive like +*+=+ or -*-=+

Answer: 14.3%

Step-by-step explanation:

3 blue

7 red

4 green

14 total

pick a red: 7/14

replace it

pick a green: 4/14

7/14*4/14 = 1/7 or 14.285714%

rounded that is 14.3%

The weighted average cost of capital (WACC) for company C is 6.63%.

The weighted average cost of capital (WACC) is a financial metric that represents the average rate of return a company must earn on its investments to satisfy its shareholders and creditors. It takes into account the proportion of debt and equity in a company's capital structure and the respective costs associated with each.

To calculate WACC, we need to consider the cost of debt and the cost of equity. The cost of debt is the interest rate a company pays on its debt, adjusted for taxes. In this case, the pre-tax cost of debt is 2% and the tax rate is 24%. Therefore, the after-tax cost of debt is calculated as (1 - Tax Rate) multiplied by the pre-tax cost of debt, resulting in 1.52%.

The cost of equity represents the return required by equity investors to compensate for the risk associated with owning the company's stock. Here, the cost of equity for company C is 6%.

The debt represents 10% of the total capital, while the equity represents the remaining 90%. To calculate the weighted average cost of capital (WACC), we multiply the cost of debt by the proportion of debt in the capital structure and add it to the cost of equity multiplied by the proportion of equity.

WACC = (Proportion of Debt * Cost of Debt) + (Proportion of Equity * Cost of Equity)

In this case, the calculation is as follows:

WACC = (0.10 * 1.52%) + (0.90 * 6%) = 0.152% + 5.4% = 6.552%

Therefore, the weighted average cost of capital (WACC) for company C is approximately 6.63%.

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At first, we have to find how many mg needed for 24 hours

Since she needs 5 mg every 4 hours, then

Let us find how many 4 hours in 24 hours?

Divide 24 by 4 to find that

That means we need 5 mg for 6 groups of 4 hours

The total of mg for 24 hours = 5 x 6 = 30 mg

Now, the medication F is 10 mg/ml

That means 10 mg given with 1 ml

We need to find how many ml for 30 mg, we will use the equal ratios

By using cross multiplication

Divide both sides by 10

The total for the 24 hours should be 3 ml

Answer:

y+x=36

Step-by-step explanation:

Answer:

30=k6

Step-by-step explanation:

because it is directly proportional, it has to be written as y=kx

i hope i helped

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Answer:

.417

Step-by-step explanation:

Answer:

y = -3x + 2

Step-by-step explanation:

To find the slope of an equation you can do (y2-y1)/(x2-x1). Plug the values in from the equation and you get (-1+7)/(1-3), or 6/-2. This means the slope is -3. Then you plug the values of y and x into an equation y = -3x + b, and you get -1 = (-3)1 + b. Solve for b. -1 = -3 + b, (add 3 to each side) 2 = b. Then plug b back into your equation and you get y = -3x + 2

Answer:

-3x+2=y

Step-by-step explanation:

u need to find the slope intercept formula which mx+b=y

m=slope

b=y-intercept

first u should find the slope which is y2-y1/x2-x1

point 1:(1,-1)

point 2:(3,-7)

-7+1/3-1=-6/2=-3

m=-3

now replace the variables

-3(1)+b=-1

-3 times 1=-3

-3+b=-1

add 3 to both sides

b=2

now the equation is -3x+2=y

Hello,

That is (+8) and not (+8x) at the end

Correct the error :

\( - 2x + 7x + 8\)

\( = x( - 2 + 7) + 8\)

\( = 5 \times x + 8\)

\( = 5x + 8\)

Answer:

5x + 8

Step-by-step explanation:

- 2x + 7x + 8

the student has added the numerical values of the 3 terms even though they are not all like terms

correction

- 2x + 7x + 8 ← collect like terms

(- 2x + 7x) + 8

= 5x + 8

Answer:

Step-by-step explanation:

Let's call one leg of the triangle "x" and the other leg "2x-4". We can use the Pythagorean theorem to solve for the lengths of the legs:

x^2 + (2x-4)^2 = 10^2

x^2 + 4x^2 - 16x + 16 = 100

5x^2 - 16x - 84 = 0

We can solve this quadratic equation by factoring or using the quadratic formula. Factoring gives us:

(5x + 14)(x - 6) = 0

So x = -14/5 or x = 6. We can discard the negative solution since we're dealing with lengths. Therefore:

x = 6

2x - 4 = 8

The lengths of the legs are 6 feet and 8 feet.

Answer/Step-by-step explanation:

Given, m<2 = 63°; m<9 = 105°, and line a is parallel to b:

a. m<1 + m<2 = m<9 (alternate exterior angles are congruent)

m<1 + 63° = 105° (substitution)

Subtract 63 from each side

m<1 = 105° - 63°

m<1 = 42°

b. m<3 + m<2 + m<1 = 180° (angles in a straight line)

m<3 + 63° + 42° = 180° (substitution)

m<3 + 105° = 180°

m<3 = 180° - 105°

m<3 = 75°

c. m<4 = m<1 (vertical angles are congruent)

m<4 = 42°

d. m<5 = m<2 (vertical angles are congruent)

m<5 = 63°

e. m<6 = m<3 (vertical angles are congruent)

m<6 = 75°

f. m<7 = m<9 (vertical angles are congruent)

m<7 = 105°

g. m<8 = m<6 (alternate interior angles are congruent)

m<8 = 75°

h. m<10 = m<8 (vertical angles are congruent)

m<8 = 75°

i. m<11 = m<4 (alternate interior angles)

m<11 = 42°

j. m<12 = 180° - m<11 (linear pair theorem)

m<12 = 180° - 42° (substitution)

m<12 = 138°

k. m<13 = m<11 (vertical angles are congruent)

m<13 = 42° (substitution)

l. m<14 = m<12 (vertical angles are congruent)

m<14 = 138°

The relation between mode, mean and median is:

mode=3median-2mean

Now, to find mean:

2mean=3median-mode

mean=7/2 = 3.5

Let we wish to evaluate the mean  μ of a population. In real practice we would typically take just one sample. Imagine still that we take sample after sample, all of the same size n, and compute the sample mean x¯ every time.

The sample mean x is a random variable: it differs from sample to sample in a way that cannot be predicted with sureness. We will write X¯ when the sample mean is idea of as a random variable and write x for the values that it takes.

The random variable X¯ has a mean, denoted  μX¯, and a standard deviation, denoted  σX¯. Here is an example with such a small population and small sample size that we can indeed write down every single sample.

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The value of partial derivative at (u, v) = (1, pi/4), by using chain rule is ∂(f ∘ r)/∂u = 0.586 and ∂(f ∘ r)/∂v = 1.414.

To compute ∂(f ∘ r)/∂u and ∂(f ∘ r)/∂v using the chain rule, we need to first calculate the partial derivatives of f with respect to its three variables: x, y, and z.

∂f/∂x = 2xy + z^2

∂f/∂y = x^2 + 2yz

∂f/∂z = y^2 + 2xz

Next, we need to find the partial derivatives of r with respect to u and v:

∂r/∂u = ⟨cos(u), sin(u), 0⟩

∂r/∂v = ⟨0, 1, 1⟩

Using these partial derivatives, we can now apply the chain rule:

∂(f ∘ r)/∂u = (∂f/∂x)(∂x/∂u) + (∂f/∂y)(∂y/∂u) + (∂f/∂z)(∂z/∂u)

= (2xy + z^2)(-sin(u)) + (x^2 + 2yz)(cos(u)) + (y^2 + 2xz)(0)

= -2√2 + 2

= 0.586

∂(f ∘ r)/∂v = (∂f/∂x)(∂x/∂v) + (∂f/∂y)(∂y/∂v) + (∂f/∂z)(∂z/∂v)

= (2xy + z^2)(0) + (x^2 + 2yz)(0) + (y^2 + 2xz)(1)

= 2√2

= 1.414

Therefore, at (u, v) = (1, pi/4), ∂(f ∘ r)/∂u = 0.586 and ∂(f ∘ r)/∂v = 1.414.

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Answer:

x = 12

Step-by-step explanation:

Angle QPR + Angle PQR = Angle HRQ

\(30 + 4x + 2 = 8 + 6x \\ (6 - 4)x = 30 + 2 - 8 \\ 2x = 24 \\ x = 12\)

Answer:

17°

Step-by-step explanation:

30°+8+6x=180 ...angles on a str. line

180-30=150

150÷6=25

25-8=17°

therefore 8+6(17°)

4(17°)+2=70°

Without the standard deviation, we cannot calculate the standard error or the 95 percent confidence interval for the mean time required to stabilize emergency condition 4 using display panel B.

To calculate a 95 percent confidence interval for the mean time required to stabilize emergency condition 4 using display panel B, we can use the least squares means estimates provided in the JMP output.

According to the JMP output, the estimate for the mean time required to stabilize emergency condition 4 using display panel B is 10.375000.

To calculate the confidence interval, we need to find the margin of error. The margin of error can be calculated using the formula:

Margin of Error = Critical Value * Standard Error

In this case, we need to find the critical value for a 95 percent confidence interval. Since we have a sample size of 24 (as mentioned in the question), we can use the t-distribution with (24-1) degrees of freedom to find the critical value.

Looking up the critical value in the t-distribution table, with (24-1) degrees of freedom and a confidence level of 95 percent, we find that the critical value is approximately 2.064.

The standard error can be calculated using the formula:

Standard Error = Standard Deviation / √(sample size)

The standard deviation is not provided in the given information. Therefore, we cannot calculate the standard error or the confidence interval without this information.

In summary, without the standard deviation, we cannot calculate the standard error or the 95 percent confidence interval for the mean time required to stabilize emergency condition 4 using display panel B.

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The probability of rolling a sum of 7 or 11 when rolling both dice is approximately 0.111 or 11.1%.

The probability of rolling a sum of 7 or 11 with two 6-sided dice, we can first calculate the total number of possible outcomes when rolling both dice.

Each die has six possible outcomes, so the total number of possible outcomes when rolling both dice is 6 x 6 = 36.

To count the number of outcomes where the sum is 7 or 11.

There are two ways to roll a sum of 7:

(1, 6) and (6, 1).

There are also two ways to roll a sum of 11:

(5, 6) and (6, 5).

There are four possible outcomes that result in a sum of 7 or 11.

Thus, the probability of rolling a sum of 7 or 11 is:

4/36

= 1/9

≈ 0.111

The total number of outcomes while rolling both dice in order to determine the likelihood of rolling a sum of 7 or 11 using two 6-sided dice.

Rolling both dice, there are a total of six possible results for each die, for a total of 36 options in all.

to determine how many possibilities there are where the total is 7 or 11. Rolling a 7, there are two possible outcomes: (1, 6) and (6, 1).

Additionally, there are two methods to roll an 11: (5, 6) and (6, 5).

There are four events that can lead to a total of either 7 or 11.

As a result, the likelihood of rolling a 7 or 11 is 4/36 = 1/9 0.111.

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here: 4.2727757e+15. Please mark brainliest. Thanks.

The height of the image can be found by multiplying the magnification by the height of the object.

We have,

To determine the height of the image produced by the concave mirror, we can use the mirror equation and the magnification formula.

The mirror equation is given by:

1/f = 1/do + 1/di,

where:

f is the focal length of the mirror,

do is the object distance (distance of the object from the mirror), and

di is the image distance (distance of the image from the mirror).

We are given:

f = 10.0 cm (focal length of the concave mirror),

do = 40.0 cm (distance of the object from the mirror), and

di = -16.0 cm (distance of the image from the mirror, negative because it's in front of the mirror).

Substituting these values into the mirror equation:

1/10.0 = 1/40.0 + 1/-16.0,

Simplifying the equation:

1/10.0 = (1/40.0) - (1/16.0),

1/10.0 = (16 - 40) / (40 * 16),

1/10.0 = -24 / 640,

1/10.0 = -0.0375.

The magnification formula is given by:

magnification = -di / do.

Substituting the values:

magnification = -(-16.0 cm) / 40.0 cm,

magnification = 0.4.

Thus,

The height of the image can be found by multiplying the magnification by the height of the object.

Since the height of the object is not given, we cannot determine the exact height of the image.

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Answer:

Option i) At least 64 of the numbers are greater than or equal to 35 must be true

Since the median is 35, we know that there are 63 numbers greater than 35 and 63 numbers smaller than 35. However, since there is an odd number of total numbers (127), the median itself must be included in one of these groups. Therefore, there are at least 64 numbers that are greater than or equal to 35.

Answer:

\( {5}^{3} \times {5}^{x} = {5}^{7} \\ 3 + x = 7 \\ x = 4\)

\(( {q}^{2} )^{y} = {q}^{6} \\ 2y = 6 \\ y = 3\)

\( {1000}^{m} \div {100}^{n} = {10}^{z} \\ \frac{1000 ^{m} }{ {100}^{n} } = {10}^{z} \\ \\ {10}^{m - n} = {10}^{z} \)

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Using the ideal gas law, pv=nrt we can find the number of moles (n), pressure (P), volume (V), Kelvin (T).

The relationship between pressure (P), volume (V), amount of gas (n), and temperature (T) is represented by the ideal gas equation, PV=nRT (T). Because it assumes that gas is functioning in an ideal or theoretical way and can therefore be written as a universal gas constant, it is known as "the ideal gas law" (represented by R in the equation).

It is believed that the gas is perfect.

In many cases, pressure (P) is measured in atmospheres (atm). Liters are commonly used to measure volume (V) (L). Mole amounts (n) are frequently used as units of measurement (mol). The unit of temperature is Kelvin (T) (K).

R is the universal constant. The SI value is 8.31 J/mol∗K

The ideal gas law is helpful for comprehending and computing the characteristics and actions of gas, such as when developing cars or airplanes. It is also crucial for understanding thermodynamics. For instance, the pressure can be determined when the temperature, volume, and quantity of gas are known. When the variables are unknown, the ideal gas law equation can be changed to provide a solution for each one.

Hence by using the ideal gas law, pv=nrt compute the characteristics and actions of gas.

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Answer:

A)

Step-by-step explanation:

|3.7| = 3.7

Answer:

x=5/2

Step-by-step explanation:

4x-1/2=x+7

4x-x=7+1/2

3x=14/2+1/2

3x=15/2

x=15/2×1/3

so

x=5/2

Answer:

-4 0 4

Step-by-step explanation:

Answer:there all in the domain

Step-by-step explanation:

Answer d

Step-by-step explanation:d

Answer:

c. 51

Step-by-step explanation: