I need help on 3, 4, 5, 6, 7

don't cheat its bad that u are asking answers for your test

The 390 ml of pure water will you need to add to obtain the desired solution.

It is required to find how much pure water will you need to add to obtain the desired solution.

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

You know that the current solution is 70% alcohol, so the amount of alcohol present is 70% of 520 = 364

Let x be the amount of water to add.  Then the new total amount would be 520 + x.  To arrive at a solution that is 40% alcohol, you would want the amount of alcohol to be 40% of the new total.

So...

364 = .40 * (520 + x)

By simplify we get,

364=208+0.40x

364-208=0.40x

156=0.40x

x=390 ml

we must add 390 ml of water to get the 40% solution.

Therefore, the 390 ml of pure water will you need to add to obtain the desired solution.

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To the given question probability is 0.6847 to four decimal places.

What is probability?

Here, we'll want to use z scoring to determine the probabilities that x will be either 9 or 5, after which we'll subtract P(x=5) from P(x=9) to determine the likelihood that x will fall between these two numbers.

Find the z score for every value to begin.

x = 9 , z = (x-μ)/σ = (9-6)/2 = 3/2

x = 5 , z = (x-μ)/σ = (5-6)/2 = -1/2

The probability for every individual z score can then be determined using the z score table.

P(x<=5) = .3085

P(x<=9)= .9332

Subtract P(x=9) from P(x=5) to get.9932 -.3085, which equals .6847

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Answer:

9

Step-by-step explanation:

Each box needs to have a minimum space of 576 cubic inches to hold the toy.

What is a cuboid?

A cuboid is a three-dimensional solid shape that has six rectangular faces, where each face meets at right angles with adjacent faces.

To calculate the space required for each box to hold a toy that is 8 inches tall by 12 inches wide and 6 inches deep, we need to calculate the volume of the toy.

The volume of the toy can be calculated as:

Volume = height x width x depth

Volume = 8 inches x 12 inches x 6 inches

Volume = 576 cubic inches

Therefore, each box needs to have a minimum space of 576 cubic inches to hold the toy.

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The Poiseuille's law expresses the relationship between the rate of flow of a fluid through a tube (Q) and the pressure difference (ΔP) across the ends of the tube.

It is given by Q = (π * ΔP * r⁴) / (8 * η * l),

where r is the radius of the tube,

η is the viscosity of the fluid,

l is the length of the tube.

Let us use this equation to calculate the rate of flow in a small human artery.The values given are:

η = 0.028, R = 0.008 cm, l = 2 cm, P = 5000 dynes/cm²

As the radius is given as 0.008 cm, the diameter of the artery is 2 * 0.008 = 0.016 cm.

The radius (r) is 0.008 cm/2 = 0.004 cm.

Substitute the given values in the Poiseuille's law to get

Q = (π * ΔP * r⁴) / (8 * η * l)Q = (π * 5000 dynes/cm² * 0.004⁴ cm⁴) / (8 * 0.028 poise * 2 cm)Q = 0.000014 cm³/s

Therefore, the rate of flow in the small human artery is 0.000014 cm³/s (correct to three significant figures).

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Answer:

x+y=4+8=12

$12 for one of each

or if you mean indivually (the wording confused me)

$4 for child, $8 for adult

Step-by-step explanation:

x=adult

y=child

2x+10y=56

4x+5y=52

iin order to be able to subtract values and find x and y im going to multiply 4x+5y=52 by two and get 8x+10y=104

8x+10y=104

-2x+10y=56

6x=48 divide each side by 6

x=8

plug 8 back into an equation to find cost of y

2(8)+10y=56

-16            -16

10y=40

y=4

Answer:

a)  

Step-by-step explanation:

We have been given a function . We are asked to find the domain of our given function.

We can see that our given function is a rational function and numerator of our given function is a square root.

To find the domain of our given function, we will find the number that will make our denominator 0 and the domain of square root function will be the values of x that will make our numerator non-negative.

Undefined points for our given function:

The domain of denominator is all values of x, where x is not equal to negative 4 and positive 6.

Non negative values for radical:

The domain of numerator is all value of x greater than or equal to negative

Upon combining real regions and undefined points for our given function, the domain of our given function will be all values of x greater than or equal to negative 1, where x is not defined for 6.

Therefore, domain of our given function is .

The first step is to convert angle A = 23°23' to degrees. Recall, the interpretation of angle A is 23 degree 23 minutes. Also,

1 degree = 60 minutes

Let x = 23 minutes. Thus, we have these equations

1 = 60

x = 23

By crossmultiplying,

60x = 23

x = 23/60 = 0.3833

Thus,

angle A = 23 degrees + 0.3833 degrees = 23.3833 degrees

The triangle is shown below

Taking angle A as the reference angle,

hypotenuse = 42.75

opposite side = a

adjacent side = b

To find a, we would apply the sine trigonometric ratio which is expressed as

Sin# = opposite side/hypotenuse

Sin 23.3833 = a/47.25

By crossmultiplying,

a = 47.25Sin 23.3833

a = 18.75

To find b, we would apply the cosine trigonometric ratio which is expressed as

Cos# = adjacent side/hypotenuse

Cos 23.3833 = b/47.25

By crossmultiplying,

b = 47.25Cos 23.3833

b = 43.37

The given triangle is a right triangle. This means that one of its angles is 90 degrees. Thus,

angle C = 90 degrees

The sum of the angles in a traingle is 180 degrees. This means that

angle A + angle B + angle C = 180

23.3833 + angle B + 90 = 180

angle B + 113.3833 = 180

angle B = 180 - 113.3833

angle B = 66.62 degrees

Answer:

x^2+5x-14

Step-by-step explanation:

Using FOIL method, we get (x^2)+(-2x)+(7x)+(-14), which is just x^2+5x-14

FOIL = First, Outer, Inner, Last

The angles made by F with the positive x, y and z axes are 62.13 degrees, 53.93 degrees and 117.87 degrees respectively.

The vector F = [(130) i + (160) j + (-130) k] N.

The angles made by F with the positive x, y and z axes are as follows:i. The angle made by F with the positive x-axis: In this case, we have to determine the angle made by the vector F with the positive x-axis which is represented by i.

The angle between the vector and the positive x-axis can be calculated using the following formula:cos(θ) = i . (F / |F|)Here, the dot product of the unit vector i and the vector F gives the magnitude of F along the positive x-axis and the magnitude of the vector F can be obtained by dividing it with its magnitude (|F|).Then, we obtain the value of θ by taking the inverse cosine of the result calculated in the above step. Thus,cos(θ) = [(130) i + (160) j + (-130) k] . (1, 0, 0) / |[(130) i + (160) j + (-130) k]|cos(θ) = 130 / 270cos(θ) = 0.4815θ = cos⁻¹(0.4815)Therefore, the angle made by F with the positive x-axis is θ = 62.13 degrees.ii. The angle made by F with the positive y-axis: In this case, we have to determine the angle made by the vector F with the positive y-axis which is represented by j. The angle between the vector and the positive y-axis can be calculated using the following formula:cos(θ) = j . (F / |F|)

Here, the dot product of the unit vector j and the vector F gives the magnitude of F along the positive y-axis and the magnitude of the vector F can be obtained by dividing it with its magnitude (|F|).Then, we obtain the value of θ by taking the inverse cosine of the result calculated in the above step. Thus,cos(θ) = [(130) i + (160) j + (-130) k] . (0, 1, 0) / |[(130) i + (160) j + (-130) k]|cos(θ) = 160 / 270cos(θ) = 0.5926θ = cos⁻¹(0.5926)Therefore, the angle made by F with the positive y-axis is θ = 53.93 degrees.iii. The angle made by F with the positive z-axis: In this case, we have to determine the angle made by the vector F with the positive z-axis which is represented by k. The angle between the vector and the positive z-axis can be calculated using the following formula:cos(θ) = k . (F / |F|)

Here, the dot product of the unit vector k and the vector F gives the magnitude of F along the positive z-axis and the magnitude of the vector F can be obtained by dividing it with its magnitude (|F|).Then, we obtain the value of θ by taking the inverse cosine of the result calculated in the above step.

Thus,cos(θ) = [(130) i + (160) j + (-130) k] . (0, 0, 1) / |[(130) i + (160) j + (-130) k]|cos(θ) = -130 / 270cos(θ) = -0.4815θ = cos⁻¹(-0.4815)Therefore, the angle made by F with the positive z-axis is θ = 117.87 degrees.

Answer: The angles made by F with the positive x, y and z axes are 62.13 degrees, 53.93 degrees and 117.87 degrees respectively.

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Part a

we have that

the volume of the box is equal to

V=L*W*H

so

In this problem

the height H is equal to H=x

L=(10-2x) in

W=(8-2x) in

substitute in the formula

V=(10-2x)(8-2x)(x) in3

apply distributive property

V=(80-20x-16x+4x^2)(x)

V=(4x^3-36x^2+80x) in3

Part b

For x=0.7 in

V=4(0.7)^3-36(0.7)^2+80(0.7)

V=39.732 in3

For x=2.3 in

V=4(2.3)^3-36(2.3)^2+80(2.3)

V=42.228 in3

so

the change in the box volume increases (42.228-39.732)=2.5 in3

For x=3.2 in

V=4(3.2)^3-36(3.2)^2+80(3.2)

V=18.432 in3

the change in the box volume decreases (42.228-18.432)=23.8 in3

Explanation:

What are irrational numbers?

Irrational numbers include numbers like: π, 12π, ∛2, √11, √12, 4√2

Note: √4 = ± 2, √16 = ± 4 and others which completely square root are still rational numbers as they can be written as whole number integers.

Here given number: √5 + 7

Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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The solution to the following equations are:

x + 8 = 6

subtract 8 from both sides

x = 6 - 8

x = -2

x - 1 = -4

Add 1 to both sides

x = -4 + 1

x = -3

10 + x = 5

subtract 10 from both sides

x = 5 - 10

x = -5

x + 4 = -14

subtract 4 from both sides

x = -14 - 4

x = -18

x - 3 = -9

Add 3 to both sides

x = -9 + 3

x = -6

-4 + x = -8

Add 4 to both sides

x = -8 + 4

x = -4

-5 = 10x

divide both sides by 10

x = -5/10

x = -0.5

-4x = -60

divide both sides by -4

x = -60/-4

x = 15

3x = -24

divide both sides by 3

x = -24/3

x = -8

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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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Answer:

-8

Step-by-step explanation:

midpoint = (W + X)/2

midpoint = [-11 + (-5)]/2

midpoint = -16/2

hence midpoint = -8

It will take 0.4 seconds to get to the home plate.

Given:

The speed of the pitch thrown by Justin is 100 miles per hour

The distance of home plate from the pitching rubber is 60.5 feet

To find:

The time taken by a pitch to reach the home plate

Solution:

The distance home plate from the pitching rubber = d = 60.5 feet

\(1 mile = 5280 feet\\1 foot=\frac{1}{5280} mile\\60.5 feet=60.5 \times \frac{1}{5280} mile=\frac{60.5}{5280}miles\)

The speed of pitch thrown by Justin = s = 100 miles/hr

The time taken by a pitch to reach the home plate = t =?

The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.

\(Speed=\frac{Distance}{Time}\\s=\frac{d}{t}\\100 miles/hr=\frac{\frac{60.5}{5280}miles}{t}\\t=\frac{60.5}{5280}miles\times \frac{1}{100 miles/hr}\\= 0.000114583 hr\)

In an hour there are 3600 seconds, then in 0.000114583 hours will be:

\(1 hour=3600 seconds\\=0.000114583 \times 3600=0.4124988 s\approx 0.4 s\)

It will take 0.4 seconds to get to the home plate.

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Answer:

$1346.4

Step-by-step explanation:

First find the rectangle portions area with lxwxh, which is 8x6x8. That equalls 384.

Then find the triangles, which is bxh, which is 6x8. That equals 144.

Add those two to get 528.

Then multiply the total area by 2.55 which will get you 1346.4

The equation in a standard form that could represent the polynomial function will be f(x) = (x + 4)(2x + 1)(x - 3).

Let a, b, c, and d are the zeroes of the polynomial.

Then the polynomial is given as,

⇒ (x - a)(x - b)(x - c)(x - d)

The degree of the polynomial will be greater than or equal to the number of zeroes.

The zeros of a polynomial capability are - 4, - 1/2, and 3. Then the factor of the polynomial is given as,

x = -4

x + 4 = 0

x = - 1/2

2x + 1 = 0

x = 3

x - 3 = 0

The factors are (x + 4), (2x + 1), and (x - 3). Then the equation in a standard form that could represent the function will be given as,

f(x) = (x + 4)(2x + 1)(x - 3)

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Answer:

\( - \frac{1}{6} \)

Step-by-step explanation:

\( - \frac{1}{2} + \frac{1}{3} = - \frac{1}{6} \)

The integer numbers for each card describing the motions are given as follows:

Integer number are numbers that can have either positive or negative signal, but are whole numbers, meaning that they have no decimal part.

Regarding the movements, the integers can be classified as positive or negative, as follows:

Considering the movements described for each card in the problem, the equations are built in the answer given at the beginning of the answer.

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a) The smallest zero of f is -7 with multiplicity 2.

   The largest zero of f is 1 with multiplicity 1.  (Choice B.)

(b) The graph touches the x-axis at x = -7 and crosses at x = 1. (Choice C)

(c) The maximum number of turning points on the graph is 2.  

(d) The power function that the graph of f resembles for large values of |x| is y = 2x^3.

(a)  To find each real zero and its multiplicity:

set f(x) equal to zero and solve for x:

2(x - 1)(x + 7)^2 = 0

Setting each factor equal to zero separately:

x - 1 = 0 => x = 1 (with multiplicity 1)

x + 7 = 0 => x = -7 (with multiplicity 2)

Therefore, the real zeros and their multiplicities are:

x = 1 (multiplicity 1)

x = -7 (multiplicity 2)

(b) To determine whether the graph crosses or touches the x-axis at each x-intercept, examine the sign changes around those points.

At x = 1, the multiplicity is 1, indicating that the graph crosses the x-axis.

At x = -7, the multiplicity is 2, indicating that the graph touches the x-axis.

(c) The maximum number of turning points on the graph is 2 because the maximum number of turning points on the graph is equal to the degree of the polynomial minus 1

(d) The power function that the graph of f resembles for large values of |x| is y = 2x³because the leading term of f(x) = 2(x - 1)(x + 7)^2 is 2x^3. As x approaches positive or negative infinity, the dominant term is 2x^3, which is a power function with an odd degree.

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The probability that their coin flips will successfully divide them into two teams on the first try is 3/8.

To calculate this probability, we need to consider the possible outcomes of the four coin flips. Each coin flip has two possible outcomes: heads (H) or tails (T). Since there are four coin flips, there are a total of 2^4 = 16 possible outcomes.

Out of these 16 outcomes, we are interested in the ones where two coins show heads and the other two coins show tails. Let's denote H as heads and T as tails. The possible successful outcomes are HH TT, HT TH, and TT HH. There are three successful outcomes out of the 16 possible outcomes.

Therefore, the probability of successfully dividing into two teams on the first try is 3/16.

It's important to note that the order of the outcomes doesn't matter in this case. For example, HH TT and TT HH are considered the same outcome since both represent a successful division into a heads team and a tails team.

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There are  17/36 pounds of trail mix in each bag.

you need to first add the weight of the peanuts and M&M's together.

1\(\frac{17}{18}\) + 1 \(\frac{5}{6}\) =(\(\frac{35}{18}\)) +(\(\frac{11}{6}\)) =  \(\frac{35+33}{18}\)    =\(\frac{68}{18}\)

which can be simplified to 3 \(\frac{14}{18}\)

So there are 3 \(\frac{14}{18}\)pounds of trail mix altogether.

3 \(\frac{14}{18}\)÷ \(\frac{8}{1}\) =

\(\frac{68}{18}\)  ÷  \(\frac{8}{1}\)=\(\frac{68}{144}\)

which can be simplified to \(\frac{17}{36}\)

So there are \(\frac{17}{36}\)pounds of trail mix in each bag.

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In a bigram model, the probability of a word is computed as the product of the probability of the previous word and the probability of the current word given the previous word. This is also known as a multinomial model.

A bigram model computes the probability of a pair of consecutive words in a document, represented as P(w2|w1), where w1 is the first word and (w1, w2) is the pair of consecutive words. This model is a multinomial model, which means the probability distribution is over multiple outcomes. Given a vocabulary size of V, the number of parameters in a bigram model would be V^2, as each word can be paired with any other word in the vocabulary.

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Answer:

2 square root of 13 i think

Step-by-step explanation:

im not sure if i remember clearly but i think we have to use:

a^2 + b^2 = c^2

sooo

(4)^2 + (6)^2 = c^2

16 + 36 = c^2

52 = c^2

then since theres no exact number for sq rt of 52 we think if it can be divided by other numbers like 4 16 etc.

since it can get 4 out, its not 4 sq rt of 13 its 2 sq rt of 13 because you have to square the 4 to take it out

2 square root of 13 i think

Answer:

2 sq rt 13 so the second choice

Step-by-step explanation:

use quadratic formula

a^2 + b^2 = c^2

4^2 + 6^2 = c^2

16 + 36 = c^2

52 = c^2

sq rt of 52

2 sq rt 13

Answer:

$141.99

Step-by-step explanation:

$161.98 - $19.99 = $141.99 left

(All you needed to do was subtract.)