I’ve been stuck on this problem for a while & I have an SHSAT practice test tomorrow, can someone please tell me how to solve this

Answer:

C. 60°

Step-by-step explanation:

Answer:

No, Isiah is not correct. The GCF of the coefficients is 1, and there are no common variables among all three terms of the polynomial. 5b4 is a factor of -25a2b5 and -35b4, but not a3. Additionally, a2 is a factor of a3 and -25a2b5, but not -35b4

To find the total cost, we need to integrate the marginal cost function with respect to x over the desired range.

However, since the marginal cost function given is in terms of x^(-1/2), we need to consider the limits of integration carefully.

The integral of C''(x) = 3500x^(-1/2) dx is given by:

C'(x) = ∫(3500x^(-1/2)) dx

Using the power rule of integration, the integral simplifies to:

C'(x) = 2 * 3500 * x^(1/2) + C

To find the constant of integration (C), we need additional information about the initial conditions or a specific value of C'(x). Without this information, we cannot determine the exact total cost. However, we can find the indefinite integral of C''(x) and express it in terms of x:

C(x) = 2 * 3500 * (2x^(3/2)) + C

In this case, since the firm can make infinitely many units of the item, the total cost would also be infinite. However, without specific values or additional information, we cannot determine the exact total cost in dollars.

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45 billion Korean Won is equal to 45 million US Dollars.

The formula for  (USD) is USD = KRW / 1000. To calculate 45 billion won in USD, we must first convert KRW to USD. 45 billion KRW is equal to 45,000,000,000 KRW. Using the formula above, we can calculate the amount of USD:

USD = 45,000,000,000 KRW / 1000

USD = 45,000,000 USD

Therefore, 45 billion won is equal to 45 million US Dollars.

To better understand this conversion, it is important to remember that one US Dollar is equal to 1000 Korean Won. As an example, if you have 10,000 Korean Won, you can convert that to USD by dividing 10,000 by 1000, which equals 10 USD. The same concept applies when converting larger numbers. To convert 45 billion KRW to USD, we must divide 45,000,000,000 by 1000, which equals 45,000,000 USD.

In conclusion, 45 billion Korean Won is equal to 45 million US Dollars.

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3) The function f(x) = x^2 + x - 2 is continuous on the open intervals (-∞, ∞).

4) The function g(x) = 5x - |x + 2| is differentiable on the open intervals (-∞, -2) and (-2, ∞).

3)To determine the open intervals on which f(x) is continuous, we need to consider the differentiability of the function. Since f(x) is a polynomial, it is differentiable for all values of x. Therefore, f(x) is continuous on its entire domain, which is (-∞, ∞).

The function f(x) = x^2 + x - 2 is continuous on the open intervals (-∞, ∞). This means that there are no points of discontinuity or "jumps" in the graph of the function within this interval. The function can be smoothly plotted without any breaks or sharp changes.

4) To find the open intervals on which g(x) is differentiable, we need to consider the differentiability of the function at specific points. The function g(x) consists of two parts: 5x and |x + 2|. The function 5x is a linear function and is differentiable for all values of x. The function |x + 2| has a corner or point of non-differentiability at x = -2.

When x < -2, the function |x + 2| can be written as -(x + 2), so the function g(x) becomes 5x - (-(x + 2)) = 5x + (x + 2) = 6x + 2. This function is differentiable for all values of x, including x < -2.

When x > -2, the function |x + 2| can be written as x + 2, so the function g(x) becomes 5x - (x + 2) = 4x - 2. This function is differentiable for all values of x, including x > -2.

Therefore, the function g(x) = 5x - |x + 2| is differentiable on the open intervals (-∞, -2) and (-2, ∞).

The function g(x) = 5x - |x + 2| is differentiable on the open intervals (-∞, -2) and (-2, ∞). This means that the graph of the function has a smooth tangent line at every point within these intervals, and there are no sharp corners or points of non-differentiability.

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Answer: ( g+G) (x) =12+2x

Step-by-step explanation:

i used an math ap it is  an app you can get on your phone

Answer:

Choices 1 and 5

Step-by-step explanation:

155 + 166 = 25 + 296

Correct choices:

155 - 296 = 25 - 166

166 - 25 = 296 - 155

Answer:

h=A/b

Step-by-step explanation:

Think of putting number in the place of the letter, for example

A is 4

b is 2

h is 2

4=2 x 2        then plug the numbers in the right spot

2=4/2           then see what can be rearranged or what is left to make the              

                     equation true

(a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, (d) boxplot is attached, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

(a) The mean = sum of all values divided by the number of values

μ = (x1 + x2 + ..... + xn)/n

n = 20

μ = (0.0395 + 0.0443+ 0.0450 + ... + 0.0550 + 0.0571)/20

μ = 0.9878/20

μ = 0.0494

(b) Variance = sum of squared deviations from the mean divided by n-1

s² = {(x1-μ)² + (x2-μ)² + .... (xn - μ)²)/(n-1)

s² = {(0.0395-0.0494)² + (0.0443-0.0494)² + .... +(0.0571-0.0494)²}/19

s² = 0.000016

(b) The minimum is 0.0395 and the maximum is 0.0571.

since the number of data is even, the median will be the average of two middle values.

M = Q2 = (0.0496+0.0499)/2 = 0.04975

Now, the first quartile is the median of the data values below the median

so Q1 = (0.0470+0.0485)/2 = 0.04775

And third quartile will be the median of the data values above the median

Q3 = (0.0504+0.0516)/2 = 0.0510

(c) Since we know that the number of data values is even, the median will be the average of the two middle values of the data set

so M = (0.0496+0.0499)/2

or M = 0.04975

(d) The boxplot is at maximum and minimum values. It will start in Q1 and end in Q3 and has a vertical line at the median or Q2.

The boxplot is attached.

(e) The 5th percentile means 0.05(n+1)th data value

or = 0.05(20+1) = 1.05th data value

5th percentile = 0.0550 + 0.05(0.0443-0.0395) = 0.03974

similarly,

95th percentile = 0.0550 + 0.95(0.0571-0.0550) = 0.056995

Therefore, (a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

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Answer:

24 second

36 minutes

60 centimeters

Answer:

A: 24 second

B: 36 minutes

C: 60 centimeters

Step-by-step explanation:

Use calculator:

sin x = 0.4 --> arc

x=23∘‍58

Trig unit circle gives another arc x that has the same sin value:

x=180−23.58

=156∘42

Answers for (0, 360)

23∘58,156∘42

The odds of the employee passing the test are 0.25. Alternatively, we can say that the employee has a 1 in 4 chance of passing the test if the probability is 0.20

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents impossibility (an event that cannot occur) and 1 represents certainty (an event that is certain to occur).

For example, if you toss a fair coin, there are two possible outcomes: heads or tails. The probability of getting heads is 0.5 (or 1/2) because there is one favorable outcome (heads) out of two possible outcomes (heads or tails).

The odds of an event happening are defined as the ratio of the probability of the event occurring to the probability of the event not occurring. Mathematically, odds can be expressed as:

odds = P(event happening) / P(event not happening)

In this case, the probability of the employee passing the test is 0.20, so the probability of the employee not passing the test is 0.80 (since the sum of probabilities of all possible outcomes must be 1).

Therefore, the odds of the employee passing the test can be calculated as:

odds = 0.20 / 0.80 = 0.25

So the odds of the employee passing the test are 0.25. Alternatively, we can say that the employee has a 1 in 4 chance of passing the test (since 0.25 can be written as a fraction of 1/4).

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Answer:

r90° (P) = (4, -5).

Step-by-step explanation:

The point P is (5, 4). To find the image of P after rotating it 90° counterclockwise, we use the transformation matrix for a 90° counterclockwise rotation:

[[0, -1], [1, 0]]

The coordinates of the image of P after rotating 90° counterclockwise are given by:

[[0, -1], [1, 0]] * [5, 4] = [4, -5]

So, r90° (P) = (4, -5).

Answer:

They are all right

Step-by-step explanation:

all of them are right

Everything is correct except the last one. I have attached the solutions, see them.

The volume of the box is 1,026 cubic inches.

The volume of the prism is 36 cubic feet.

We have,

1)

The volume of the box can be found by multiplying the length, width, and height together:

Volume = l × w × h

= 19 in × 18 in × 3 in

= 1,026 in³

2)

To find the volume of the prism, we need to multiply the area of the base (which is a square) by the height:

Volume = base area × height

Since the base of the prism is a square with a side length of 2 ft, the area of the base is:

base area = side² = (2 ft)² = 4 ft²

The volume of the prism is:

Volume = base area × height

= 4 ft² × 9 ft

= 36 ft³

Therefore,

The volume of the box is 1,026 cubic inches.

The volume of the prism is 36 cubic feet.

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Therefore, When ratios have the same units, we call that ratio a unit ratio.

When ratios have the same units, we call that ratio a unit ratio. An explanation of what is meant by the term ratio would be helpful. A ratio compares the relative sizes of two or more quantities. If the numbers being compared have the same units, then it is called a unit ratio. Unit ratios are ratios that relate to each other in terms of the same measurement unit. They are also sometimes known as unit rates or unit fractions. They are frequently used to compare the relative size of one quantity to another when they are measured in the same units. For example, when we say that there are two apples for every five oranges, we are expressing a ratio between apples and oranges. However, when we say that there are two apples per five oranges, we are using a unit ratio.

Therefore, When ratios have the same units, we call that ratio a unit ratio.

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Answer:

perfect

Step-by-step explanation:

Answer:

The inequality is correct.

Step-by-step explanation:

Answer:

The Answer is 37

Step-by-step explanation:

Just do 1850/50 and then do 50*37 to confirm

Answer:

(x-1, y+6)

Step-by-step explanation:

It would change the x by -1 and the y by +6

Example of the range of a function is given as follow:

f(x) = 2x + 1 , x∈N, x < 5 then its range is equal to { 3, 5, 7, 9}.

As given in the question,

Range of any given function is defined as collection of all the output values of the given function.

Let us consider an example to represent the range of the given function:

f(x) = 2x + 1 where x ∈ N , x < 5

Here x belongs to natural numbers less than 5 which implies x is equal to 1, 2, 3, 4.

Substitute the values of x to get the range (output values ).

f(1) = 2(1) + 1

    = 3

f(2) = 2(2) + 1

     = 5

f(3) = 2(3) + 1

     = 7

f(4) = 2(4) + 1

     = 9

Range of f(x) = { 3, 5, 7, 9 }.

Therefore, the range of any function is its output values example

f(x) = 2x + 1 , x ∈ N , x < 5 have range = { 3,5,7,9}.

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B. the proportion of the variation of the dependent variable explained by the independent variable. R^2, also known as the coefficient of determination, measures the goodness of fit of a regression model.

It represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. In other words, R^2 indicates how well the independent variable(s) account for the observed variation in the dependent variable. The correct answer, choice B, states that R^2 represents the proportion of the variation of the dependent variable explained by the independent variable.

It quantifies the strength of the relationship between the independent and dependent variables and provides an assessment of how well the regression model fits the observed data. A higher R^2 value indicates a better fit, as it indicates that a larger proportion of the variation in the dependent variable can be attributed to the independent variable(s).

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SOLUTION

The number of diagonals and number of sides of a polygon are related with the formula

Substituting we have

Solving the quadratic equation for n, we have

So, we will go with n = 8, since the number of sides cannot be a negative number.

Now, sum of interior angles in a regular polygon is given by

So we have

So, the measure of an interior angle becomes

Hence the answer is 135 degrees

Answer:

.05 is the equivalent of 5 percent.

Step-by-step explanation:

The uniformly most powerful critical region of size α = 0.10 for testing H0: θ = 75 against H1: θ > 75 is given by the critical region: Reject H0 if the sample mean exceeds 75 + 1.28(10/√25).

To explain the calculation, we will use the concept of the likelihood ratio test. In this hypothesis test, we want to determine if the true mean (θ) is greater than 75.

The likelihood ratio test statistic is given by:

λ(x) = (suppose symbol) {f(x|θ = 75)}/{f(x|θ)}

Where f(x|θ = 75) is the probability density function (pdf) of the sample mean assuming the null hypothesis is true, and f(x|θ) is the pdf of the sample mean assuming the alternative hypothesis is true.

Since the sample mean follows a normal distribution with mean θ and variance (100/25) = 4, we can calculate the likelihood ratio as:

λ(x) = {f(x|θ = 75)}/{f(x|θ)}

     = \({exp^(-(x - 75)^2 / 2(4))} / {exp^(-(x - θ)^2 / 2(4))}\)

Simplifying the ratio, we get:

λ(x) = exp^((x - θ + 75) / 8)

To find the critical region, we need to determine the value of x for which λ(x) is less than or equal to a certain threshold, which corresponds to the desired significance level α = 0.10.

In this case, the critical value zα is obtained from the standard normal distribution such that P(Z > zα) = α. For α = 0.10, zα ≈ 1.28.

Setting λ(x) ≤ 1.28 and solving for x, we have:

exp^((x - θ + 75) / 8) ≤ 1.28

(x - θ + 75) / 8 ≤ ln(1.28)

(x - θ + 75) ≤ 8ln(1.28)

x ≤ θ - 75 + 8ln(1.28)

Since we want to reject H0 if the sample mean exceeds θ, the critical region is given by:

Reject H0 if x > θ - 75 + 8ln(1.28)

Therefore, the uniformly most powerful critical region is defined as rejecting H0 if the sample mean exceeds 75 + 1.28(10/√25).

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Answer:

The answer is 5,380,000

Step-by-step explanation:

Answer:

5,380,000

Step-by-step explanation:

Answer:  11/18

=======================================================

Explanation:

We need to add the fractions, but first we need to get each fraction to have the LCD (lowest common denominator) of 18

18 is the LCM of the denominators 6 and 9

The fraction 1/6 turns into 3/18 when multiplying top and bottom by 3

The fraction 4/9 turns into 8/18 after multiplying top and bottom by 2

Therefore,

(1/6) + (4/9) = (3/18) + (8/18) = (3+8)/18 = 11/18

So Mike has a total of 11/18 of a gallon of paint when combining the two given amounts 1/6 a gallon of blue paint and 4/9 of a gallon of green paint.

Answer:

The answer is the first option.

Step-by-step explanation:

Remember

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

Plug in for each!

\(m = \frac{ 1 - 2}{4 - 8} = \frac{ - 1}{ - 4} = \frac{1}{4} \)

Answer: Hope this helps!

Step-by-step explanation: To solve this problem you should take into the following steps :

1) Subtract fractions correctly as a cross-product

2) Rewrite the second-degree polynomials correctly.

3) Cancel terms that have the same exponent.

4) Make algebraic sums correctly.

M=3