in operations how to solve 3x−33+5

Answer:

\((s-1)(s+\frac{2{(s-1)}^{3}}{3})\)

Step-by-step explanation:

1) Use Rule of One: \({x}^{1}=x\).

\(3s\times \frac{s-1}{3}+2\times \frac{{(s-1)}^{4}}{3}\)

2) Cancel 3.

\(s(s-1)+2\times \frac{{(s-1)}^{4}}{3}\)

3)  Simplify  \(2\times \frac{{(s-1)}^{4}}{3}\)  to  \(\frac{2{(s-1)}^{4}}{3}\).

\(s(s-1)+\frac{2{(s-1)}^{4}}{3}\)

4)  Factor out the common term s-1.

\((s-1)(s+\frac{2{(s-1)}^{3}}{3})\)

Answer:

5s^(4/3) + 3s - 2

Step-by-step explanation:

The y-intercept is approximately 191.15, which is closest to option B) 191.1.

To compute the y-intercept, we need to use the formula of the regression line:

y = a + bx

where a is the y-intercept, b is the slope, x is the independent variable (in this case, x-bar), and y is the predicted value of the dependent variable (in this case, y-bar).

The slope can be computed as:

b = r(sy/sx)

where r is the correlation coefficient, sy is the standard deviation of y, and sx is the standard deviation of x.

Substituting the given values, we get:

b = 0.341(37/12) = 1.05025

Now, we can use the formula of the regression line to find the y-intercept:

y = a + bx

251 = a + 1.05025(57)

a = 191.08875

Therefore, the y-intercept is approximately 191.1, which is answer choice B).
To compute the y-intercept, we will first need to find the slope (b) of the regression line using the given correlation coefficient (r), standard deviations (sx and sy), and means (x-bar and y-bar). Then, we will use the point-slope form of a linear equation to find the y-intercept.

Step 1: Calculate the slope (b)
b = r * (sy/sx)
b = 0.341 * (37/12)
b ≈ 1.05

Step 2: Use the point-slope form to find the y-intercept
y - y-bar = b * (x - x-bar)

Plug in the values for x-bar, y-bar, and b:
y - 251 = 1.05 * (x - 57)

Since we want the y-intercept, we will set x to 0:
y - 251 = 1.05 * (0 - 57)

Solve for y:
y - 251 = 1.05 * (-57)
y - 251 ≈ -59.85
y ≈ 251 - 59.85
y ≈ 191.15

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Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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Answer:

4 IS THE ANSWER MATE

Step-by-step explanation:

Absolutely, I can do that!

Let's take a look at each statement:

1) f(x) has a y-intercept at (0,2)

To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:

f(0) = -log(0+4) + 2

f(0) = -log(4) + 2

f(0) = -0.602 + 2

f(0) = 1.398

Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.

2) The function -f(x) has a y-intercept at (0,2)

Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.

3) As x approaches positive infinity, the function f(x) approaches negative infinity.

The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.

4) As x approaches -4 from the right, the function f(x) approaches negative infinity.

As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.

In summary, statements (1) and (2) are false, while statements (3) and (4) are true.

Answer:

The corner store.

Step-by-step explanation:

11.56/4 =2.89$

17.94/6=2.99$

corner store sells it for cheaper by 10 cents

The volume of a rectangular prism with a base length of 4 cm, a base width of 2 cm, and a height of 6 cm is 48 cubic cm. If we triple the size of the prism, then the new base length would be 12 cm, the new base width would be 6 cm, and the new height would be 18 cm. Therefore, the volume of the new prism would be:

Volume = (12 cm) x (6 cm) x (18 cm) = 1296 cubic cm

So the volume of the prism would be increased to 1296 cubic cm by tripling the size of the original prism.

To find the volume of a rectangular prism, we simply need to multiply the length, width, and height of the prism together. In this case, we were given the dimensions of the original rectangular prism and asked to find the volume of the new prism if we tripled its size. To do this, we simply multiplied each dimension by 3 to get the new dimensions and then calculated the new volume by multiplying those dimensions together.

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Answer:

the second one

Step-by-step explanation:

Let's denote the base of the triangular face as "b" and the height as "h." According to the given information, the height is one-half of the base, so we have:

h = (1/2) * b

The length of the tent is 1 ft more than the base, so the length can be represented as:

l = b + 1

The volume of a triangular prism is given by the formula:

Volume = (1/2) * base * height * length

Substituting the given values into the volume formula, we have:

20 = (1/2) * b * ((1/2) * b) * (b + 1)

Simplifying the equation:

20 = (1/4) * b^2 * (b + 1)

Multiplying both sides by 4 to eliminate the fraction:

80 = b^2 * (b + 1)

Rearranging the equation:

b^3 + b^2 - 80 = 0

To find the dimensions of the tent, we need to solve this cubic equation. However, finding the exact solution for a cubic equation can be quite involved. Instead, we can approximate the solution using numerical methods or use a calculator or software to find the approximate value of "b."

Let's assume a rounded value of "b" and calculate the corresponding values of "h" and "l" to verify if they satisfy the conditions:

Assuming b ≈ 4, we can calculate:

h = (1/2) * 4 = 2 ft

l = 4 + 1 = 5 ft

Now, let's calculate the volume using these values:

Volume = (1/2) * 4 * 2 * 5 = 20 ft^3

Since the volume matches the given volume of 20 ft^3, we can conclude that the tent dimensions are approximately:

Base (b) ≈ 4 ft

Height (h) ≈ 2 ft

Length (l) ≈ 5 ft

Please note that these values are approximations based on the assumption of b ≈ 4. For an exact solution, it would be necessary to solve the cubic equation.

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Answer:

I'm pretty sure it's 3.

Step-by-step explanation:

If you count below 7, along with the line marks (7, 6, 5, 4, 3), you'll reach the number 3. Sorry if it's wrong!

Answer: 3

Step-by-step explanation:

You see that every two lines you go up by two so every line you go up by two, so you count backward from seven, until you reach the dot. The dot is 3

Answer:

B

Step-by-step explanation:

z^2 - 6z - 27 = 0

(z - 9)(z+3) = 0

z - 9 = 0 z + 3 = 0

z = -3, 9

Answer:

Height of lamppost = 23.835 ft (Approx)

Step-by-step explanation:

Given:

Man's distance from lamppost = 15 ft

Shadow length = 5 ft

Angle of elevation = 50°

Find:

Height of lamppost

Computation:

Using trigonometry application.

Total base length = 15 ft + 5 ft

Total base length = 20 ft

Tan 50° = Height of lamppost / Total base length

1.19175359 =  Height of lamppost / 20

Height of lamppost = 23.835 ft (Approx)

Answer:

To the nearest foot it is about 24 feet

Answer:

3, pi, sqrt(16)

Step-by-step explanation:

pi is about 3.14

sqrt(16)=4

this way, it's easy to see that 3<pi<sqrt(16)

A probability distribution that indicates the probability of r successes in n trials is known as a) binomial distribution.

The correct answer is a) binomial. A binomial probability distribution is used to calculate the probability of a certain number of successes (r) in a given number of independent trials (n), where the probability of success in each trial is constant. The distribution is often used in statistics and probability theory to model real-world situations such as coin flips, product defects, or election results. The other terms mentioned in the question (subjective, joint, and marginal) are unrelated to binomial probability distributions. A probability distribution that indicates the probability of r successes in n trials is known as a) binomial distribution.

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Answer:

4

Step-by-step explanation:

3/.75=4

Answer:

4

Step-by-step explanation:

48/16 equals to 3. 18/24 equals to 3/4 or 0.75. 3 divided by 0.75 equals to 4

Answer:

She could arrange the books based on their number. She could start from the smallest number and then move onto the biggest number .  

Step-by-step explanation:

A final score of more than 92 earns an E, that means

E>92

A final score of 60 or less earns a U:

The inequality to represent Satisfactory grade, could be:

Answer:

Is this a t or f?

Step-by-step explanation:

The p-value is 0.063, which indicates that there is not strong evidence to reject the null hypothesis that the percentage has stayed the same.

The p-value can be calculated by using a one-proportion z-test. The null hypothesis would be that the percentage has stayed the same from last year, and the alternative hypothesis is that the percentage has decreased.

The formula for the z-score is (x-p)/√(p(1-p)/n), where x is the observed proportion (39/260), p is the expected proportion (0.20), and n is the sample size (260). The p-value is then calculated using the z-score and the cumulative distribution function.

Therefore p-value, in this case, is 0.063, which indicates that there is not strong evidence to reject the null hypothesis that the percentage has stayed the same.

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Answer:

b gang

Step-by-step explanation:

ANSWER

25

EXPLANATION

We are given that p and q intersect to form <1 and <2 that are adjacent.

Let us represent that with a diagram:

We have that <1 and <2 are supplementary.

This means that they add up to 180 degrees.

So:

<1 + <2 = 180

4x - 3 + 3x + 8 = 180

Collect like terms:

4x + 3x + 5 = 180

7x = 180 - 5

7x = 175

x = 175 / 7

x = 25

That s the value of x for which <1 and <2 are supplementary.

The assumptions of a single sample t-test are the DV was measured on an interval or ratio scale and normally distributed in the population, also the participants were randomly selected from the population.

A single sample t-test is a statistical method used to compare a sample's mean with a known or hypothesized population mean.

There are three key assumptions for this test:

1. The dependent variable (DV) was measured on an interval or ratio scale:

This means the data should be continuous, and the differences between data points are meaningful, allowing for meaningful comparisons.

2. The DV was normally distributed in the population:

The single sample t-test assumes that the population from which the sample was drawn has a normal distribution. This ensures the test's validity and allows for accurate generalizations about the population.

3. The participants were randomly selected from the population:

Random sampling ensures that each individual in the population has an equal chance of being included in the sample.

This reduces selection bias and increases the likelihood that the sample is representative of the population, allowing for more accurate inferences.

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Answer:

17/3

Step-by-step explanation:

or 5 2/3

Answer:

16/3 or 5 1/3

Step-by-step explanation:

keep switch flip the fractions

The expression 2^7 times 19 can be simplified by first evaluating the exponential term, 2^7, which is equal to 128. Therefore:2^7 times 19 = 128 * 19We can then evaluate the product of 128 and 19 using multiplication. When we do that, we get:2^7 times 19 = 2432Therefore, the choice that is equivalent to the expression 2^7 times 19 is 2432

The expected value of the random variable is 7

The probability distribution is given as:

x=2,3,4,5,6,7,8,9,10,11,12

Probability =1/36,1/18,1/12,1/9,5/36,1/6,5/36,1/9,1/12,1/18,1/36

The expected value of the random variable is calculated using

E(X) = ∑xP(x)

Using the above formula, we have

E(x) = 2 * 1/36 + 3 * 1/18 + 4 * 1/12 + 5 * 1/9+ 6 * 5/36 + 7 * 1/6 + 8 * 5/36 + 9 * 1/9 + 10 * 1/12 + 11 * 1/18+ 12 * 1/36

Evaluate the sum of products

E(x) = 7

Hence, the expected value of the random variable is 7

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Answer:

 A=   18.49π m²

Step-by-step explanation:

Given the diameter of 8.6  (which means the radius is half of that number; 4.3

Area = π × r²

Area = π × (4.3)²

Area = 18.49π m²

Answer:

12 hours

Step-by-step explanation:

Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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Here are the base five numerals from 1 to 100

1, 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44, 100.

With the base five, every number can only take on the values of 0, 1, 2, 3, or 4.

After the number 4, we carry over to the following place value and start again with 0. So, for instance, the number after 4 in base five is 10, because we've carried over to the next place value and started with 0 again.

In this way, we can count all the way up to 100 in base five, using these 25 unique numerals.

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The equation that can be used to prove 1 + tan2(x) = sec2(x) is StartFraction cosine squared (x) Over tangent squared (x) EndFraction + StartFraction sine squared (x) Over tangent squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction. the correct option is d.

In order to prove this, we can use the following identities:

tan(x) = sin(x) / cos(x)

sec(x) = 1 / cos(x)

tan2(x) = sin2(x) / cos2(x)

sec2(x) = 1 / cos2(x)

Substituting these identities into the given equation, we get:

StartFraction cosine squared (x) Over tangent squared (x) EndFraction + StartFraction sine squared (x) Over tangent squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction

Therefore, 1 + tan2(x) = sec2(x).

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