easy 8th grade math please help

Answer:

C

Step-by-step explanation:

14 : 16

7 : 8

boys : girls

Answer:

C

Step-by-step explanation:

If a class has 14 out of 30 students are boys, it has 30 - 14 = 16 girls

ratio of the number of boys to the number of girls means = \(\frac{Boys}{girls}\)

Because, firstly it's saying ''boys'' , after ''girls''

Boys = 14 girls = 16

14/16 = 7/8

Hope this helps ^-^

Answer:

\((x + 7)(x - 4) \\ = { \tt{ {x}^{2} + 7x - 4x - 28 }} \\ = { \tt{ {x}^{2} + 3x - 28 }} \\ { \boxed{ \bf{g \: is \: 3}}}\)

Answer:

g=3

Step-by-step explanation:

Hi there!

To find the value of g, we can expand the two binomials using the distributive property:

\((x+7)(x-4)\\= x(x-4)+7(x-4)\\= x^2-4x+7x-28\\= x^2+3x-28\)

Therefore, the value of g that makes the equation true is 3.

I hope this helps!

The formula for Permutation is,

The expression given is,

Given:

Plug in n = 9, r = 4

Simplify

Hence, the answer is 3,024.

32. Solving integral equation using the convolution theoremThe convolution theorem states that the convolution of two signals in the time domain is equivalent to multiplication in the frequency domain.

Therefore, to solve the given integral equation using the convolution theorem, we need to take the Fourier transform of both sides of the equation.

y(t) = ∫_{-∞}^{∞} sinh(−)g() + ∫_{-∞}^{∞} sinh(−−)g()Taking the Fourier transform of both sides, we haveY() = 2π[G()sinh() + G()sinh(−)]where Y() and G() are the Fourier transforms of y(t) and g(t), respectively.Rearranging for y(t), we gety(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]e^(j) d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)](cos()+j sin())d= (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d+ j(1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()dTherefore, the solution to the integral equation is given by:y(t) = (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]cos()d + (1/2π) ∫_{-∞}^{∞} [G()sinh()+G()sinh(−)]sin()d

It is always important to understand the principles that govern an integral equation before attempting to solve them. In this case, we used the convolution theorem to solve the equation by taking the Fourier transform of both sides of the equation and rearranging for the unknown signal. The steps outlined above provide a comprehensive solution to the equation.  33. Fourier series representation of f(x)

The Fourier series representation of a periodic signal is an expansion of the signal into an infinite sum of sines and cosines. To find the Fourier series representation of the given signal, we need to first compute the Fourier coefficients, which are given by:an = (1/T) ∫_{-T/2}^{T/2} f(x)cos(nx/T) dxbn = (1/T) ∫_{-T/2}^{T/2} f(x)sin(nx/T) dxFurthermore, the Fourier series representation is given by:f(x) = a_0/2 + Σ_{n=1}^{∞} a_n cos(nx/T) + b_n sin(nx/T)where a_0, a_n, and b_n are the DC and Fourier coefficients, respectively. In this case, the signal is given as:f(x) = -1, -π

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Answer:  \(_{4}^{8}\textrm{C} \cdot _{3}^{5}\textrm{C}\) ways we can form a subcommittee.

How does combination is helpful in selection?

Explanation:

The selection of 4 men out of 8 men is given as: \(_{4}^{8}\textrm{C}\)

The selection of 3 women out of 5 women is given as: \(_{3}^{5}\textrm{C}\)

The number of ways by which subcommittee of 4 men and 3 women can be formed from a committee off 8 men and 5 women is given as:

\(_{4}^{8}\textrm{C} \cdot _{3}^{5}\textrm{C}\)

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Step-by-step explanation:

step 1. let Mason = m and Tatum = t

step 2. m = 3x + 4 ($3/month and one time $4)

step 3. t = 1x + 20 ($1/month and one time $20)

step 4. 3x + 4 = x + 20 (set equations equal)

step 5. 2x = 16 (collect like terms)

step 6. x= 8 (answer: 8 months)

Answer:

-25

Step-by-step explanation:

\(-5^2=-25\)

The principal stresses are those that act on the principal planes. There are three principal stresses on a point under force.  

The principal stresses are those that act on the principal planes. The plane bearing the greatest normal stress is referred to as the principal plane, and the stress acting on it is referred to as the principal stress.

When a force is applied on an inclined plane, the force can be divided into two subparts, the first component of the force is perpendicular to the plane and is known as the normal force, while the second component of the force is parallel to the plane and is known as the shear stress.

The principal stresses at a point can be found using the following formulas, therefore, the principal stresses will be,

\({\sigma}'_{xx}=\sigma_{xx}cos(2\theta)+\sigma_{yy}sin(2\theta)+2\tau_{xy}sin(\theta)cos(\theta)\)

\({\sigma}'_{yy}=\sigma_{xx}sin(2\theta)+\sigma_{yy}cos(2\theta)-2\tau_{xy}sin(\theta)cos(\theta)\)

\({\tau}'_{xy}=(\sigma_{yy}-\sigma_{xx})sin\theta cos\theta+\tau_{xy}(cos2\theta-sin2\theta)\)

Hence, there are three principal stresses on a point under force.

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Answer:

Step-by-step explanation:

\(\frac{\sqrt{x}+1 }{x-\sqrt{x}+1 }=\frac{\sqrt{x}+1}{(x+1)-\sqrt{x}}\\\\=\frac{(\sqrt{x}+1)([x+1]+\sqrt{x})}{([x+1]-\sqrt{x})+([x+1)+\sqrt{x}])}\\\\=\frac{\sqrt{x}*x+\sqrt{x}*1+\sqrt{x}*\sqrt{x}+1*x+1*1+1*\sqrt{x}}{(x+1)^{2}-(\sqrt{x})^{2}}\\\\\\=\frac{x\sqrt{x}+\sqrt{x}+x+1+x+\sqrt{x}}{x^{2}+2x+1-x}\\\\=\frac{x\sqrt{x}+2\sqrt{x}+2x+1}{x^{2}+x+1}\\\\\)

Answer:

Phone number

Step-by-step explanation:

Answer:

your name people lol...........

Answer

7893=84

Step-by-step explanation:2=12d

Answer: x=12

Step-by-step explanation:

5x-15=2x+21(AIA)

3x-15=21

3x=36

x=12

A confusion interval of 99 percent between  -0.020 and 0.120 for the difference in the true percentage of the population that say "Yes".

What does confidence interval mean?

If you repeat your experiment or resample the population in the same manner, the confidence interval is the range of values you expect your estimate to fall within a specific proportion of the time.

In point a:

The confidence interval will not provide convincing proof that only the two population prolongations differentiate because a 99 percent confidence interval for both the difference throughout the true promotion around -0.020 and 0.120 is included 0.

In point b:

This confidence interval gives strong evidence also that two population proportions were identical because there is a confusion interval of 99 percent between  -0.020 and 0.120 for the difference in the true percentage of the population that say "Yes".

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The complete question is -

A CBS News poll asked 606 randomly selected women and 442 randomly selected men, "Do you think putting a special tax on junk food would encourage more people to lose weight?" 170 of the women and 102 of the men said "Yes." A 99% confidence interval for the difference (Women – Men) in the true proportion of people in each population who would say "Yes" is –0.020 to 0.120.

a. Does the confidence interval provide convincing evidence that the two population proportions are different? Explain your answer.

b. Does the confidence interval provide convincing evidence that the two population proportions are equal? Explain your answer.

We need to know the value of dd/dt. However, this information is not given in the problem statement. Without the value of dd/dt, we cannot determine the exact rate at which the height of the pile is increasing.

To find the rate at which the height of the pile is increasing, we need to use related rates and the formula for the volume of a cone.

Let's denote the height of the cone as h and the base diameter as d. We know that the height is twice the base diameter, so h = 2d.

The formula for the volume of a cone is given by V = (1/3)πr²h,

where r is the radius of the base. Since the base diameter is twice the radius, we can substitute r = d/2.

The rate at which gravel is being dumped into the cone is given as 30 cubic feet per minute. This means that dV/dt = 30.

We are asked to find dh/dt when the height of the pile is 10 feet, so we need to find dh/dt when h = 10.

First, we need to express the volume V in terms of h and d:

V = (1/3)π(d/2)²h

 = (1/3)π(d²/4)h

 = (1/12)πd²h

Now, we differentiate both sides of the equation with respect to time t:

dV/dt = (1/12)π(2d)(dd/dt)h + (1/12)πd²(dh/dt)

Since h = 2d, we can substitute 2d for h in the equation:

dV/dt = (1/12)π(2d)(dd/dt)(2d) + (1/12)πd²(dh/dt)

      = (1/6)πd²(dd/dt) + (1/12)πd²(dh/dt)

Now we can substitute dV/dt = 30 and h = 10 into the equation to solve for dh/dt:

30 = (1/6)πd²(dd/dt) + (1/12)πd²(dh/dt)

To find dh/dt, we need to know the value of dd/dt. However, this information is not given in the problem statement. Without the value of dd/dt, we cannot determine the exact rate at which the height of the pile is increasing.

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Answer:

5.5 minutes

Step-by-step explanation:

55/10=5.5

5.5 of 55 is 20%

Or 5 minutes and 30 seconds

The marketing section of a business plan is completed once the market has been analyzed, and goals and objectives have been established.

The marketing section of a business plan is a crucial component that outlines the strategies and tactics to reach the target market effectively. It encompasses various aspects, including market research, target audience identification, competitive analysis, marketing goals, positioning, and promotional strategies. Before completing this section, thorough market analysis is conducted to understand the industry landscape, customer needs, market trends, and competitive dynamics. Once this analysis is complete, the business can establish clear goals and objectives based on their understanding of the market and their desired positioning. These goals can include market share targets, revenue projections, customer acquisition goals, or brand awareness objectives. The marketing section also outlines the marketing mix, including product or service offerings, pricing strategies, distribution channels, and promotional activities. By completing the marketing section, the business can articulate its marketing strategies and plans, which will guide its efforts to attract and retain customers, differentiate itself from competitors, and achieve its overall business objectives.

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The value of the item after 4 years is $607.75.

The formula to calculate the value of the item after a certain number of years can be expressed as V = P(1 + r)^n, where V is the value, P is the initial purchase price, r is the annual growth rate (in decimal form), and n is the number of years.

The value of a collector's item is expected to increase exponentially each year. It is purchased for $500 and its value increases at a rate of 5% per year. To find the value of the item after 4 years, follow these steps:

Step 1: Identify the initial value, which is $500.
Step 2: Identify the annual growth rate, which is 5%, or 0.05 as a decimal.
Step 3: Identify the number of years, which is 4.
Step 4: Use the exponential growth formula, V = P(1 + r)^t, where V is the final value, P is the initial value, r is the growth rate, and t is the number of years.

Applying the formula, we get:
V = $500(1 + 0.05)^4
V = $500(1.05)^4
V = $500(1.21550625)
V = $607.75

Therefore, the value of the item after 4 years is $607.75.

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Answer:

I believe that the answer is x=24

Answer:

the solpe is 1x or just x

Step-by-step explanation:

rise over run both are 1

Answer:

\(\boxed {\tt m=1}\)

Step-by-step explanation:

The slope formula is:

\(m= \frac{y_2-y_1}{x_2-x_1}\)

where (x₁, y₁) and (x₂, y₂) are points on the line.

Let's pick two points from the graph : (1,2) and (4,5). Match the variables and numbers, so:

\(x_1=1\\y_1=2\\x_2=4 \\y_2=5\)

Substitute the values into the formula.

\(m=\frac{5-2}{4-1}\)

Solve the numerator. Subtract 2 from 5.

\(m=\frac{3}{4-1}\)

Solve the denominator. Subtract 1 from 4.

\(m=\frac{3}{3}\)

Divide 3 by 3.

\(m=1\)

The slope of the line is 1.

Answer: \(f(x)=x^{2} -9x+14\)

Step-by-step explanation:

\(x=2,7\)

\(f(x)=(x-2)(x-7)\)

\(f(x)=x^{2} -9x+14\)

Answer: -3

Step-by-step explanation:

-3 - (-6) = 3

hope this helps

plz mark brainlesit

The completely expanded expression equivalent to log5(3x 6y) is log5(3x) + log5(6y). This representation separates the logarithm into two parts, with each part corresponding to one of the factors in the original expression.

1. To expand the expression log5(3x 6y) using the product rule of logarithms, we can split it into two separate logarithms using parentheses. The product rule states that log base b of (xy) is equal to the sum of the individual logarithms: log base b of x plus log base b of y. 2. Applying the product rule to log5(3x 6y), we can write it as log5(3x) + log5(6y). The logarithm with base 5 is split into two logarithms: one for 3x and another for 6y. Therefore, the completely expanded expression equivalent to log5(3x 6y) is log5(3x) + log5(6y). This representation separates the logarithm into two parts, with each part corresponding to one of the factors in the original expression.

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Answer:

Step-by-step explanation:

Image result for Identify the vertex of the following parabola. y = x2 - 4x +1

To find the vertex of a parabola, you first need to find x (or y, if your parabola is sideways) through the formula for the axis of symmetry. Then, you'll use that value to solve for y (or x if your parabola opens to the side) by using the quadratic equation. Those two coordinates are your parabola's vertex.

Answer:

y=1

Step-by-step explanation:

Answer:

3 1/2 =x

Step-by-step explanation:

(1/2) / 4 = x/28

Using cross products

1/2 * 28 = 4*x

14 = 4x

Divide each side by 4

14/4 = 4x/4

7/2 = x

3 1/2 =x

Answer:

\(\boxed{Option1}\)

Step-by-step explanation:

\(\frac{1/2}{4} = \frac{x}{28}\)

Cross Multiplying

=> 1/2 * 28 = 4x

=> 14 = 4x

=> 4x = 14

Dividing both sides by 4

=> x = 14/4

=> x = 7/2

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

The hypergeometric probability function is based on the counting rule for combinations.

This rule states that if you have two sets of items, with one set containing n1 items and the other containing n2 items, the number of possible combination of r items that can be taken from the two sets is equal to n1+n2 choose n1. This means that you have to select n1 items from the first set, then n2 items from the second set. This function is used in probability calculations to determine the probability of selecting a certain number of items from one set, given a certain number of items from the other set. It is also used to calculate the probability of a certain event occurring when items are randomly selected from two sets.

The hypergeometric probability function can be used to calculate the probability of drawing a certain number of items from a given set. It can also be used to calculate the probability of a certain event occurring. For example, if you are playing a game where you draw 5 balls out of a bag of 20, you can use the hypergeometric probability function to calculate the probability of drawing a certain number of balls from the bag.

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rational

Step-by-step explanation:

p.72 repetition g is rational

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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To arrive 30 minutes before the ball game starts, what time should one leave home, assuming it takes 30 minutes to get there .This is a fairly simple question that requires basic math to solve.

To begin, let's assume the ball game begins at 2:00 p.  m .To arrive at the ball game 30 minutes before it begins, we must leave home 30 minutes prior to the start time. This means that we must calculate the difference between the start time and the amount of time it takes to get to the location, and then subtract 30 minutes from that difference. This will give us the departure time .So, let's get started.2:00 p.m. - 0:30 = 1:30 p.m. we must leave our home at 1:30 p.m. if we want to arrive 30 minutes before the ball game begins. It's that simple!

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