If m< EBC = 3y+10 and m< ABE = 2y-20, find m< EBF.

Answer:

\(2\sqrt[4]{3}\)

Step-by-step explanation:

\(48^\frac{1}{4} = \sqrt[4]{48} = \sqrt[4]{2*2*2*2*3} = 2\sqrt[4]{3}\)

The given expression can be written in simplest radical form as 2\(\sqrt[4]{3}\).

In order to write an exponent in radical form, first take the prime factors of the given number and then put the remaining numbers that are left out in the radical form.

The given expression is \(48^{1/4}\).

The prime factorization of 48 gives 48 = 2 × 2 × 2 × 2 × 3

It can be written in simplest radical form as follows,

\(48^{1/4}\) = \((2 \times 2 \times 2 \times 2 \times 3)^{1/4}\)

        = 2 × \(3^{1/4}\)

        = 2\(\sqrt[4]{3}\)

Hence, the radical form of given expression is 2\(\sqrt[4]{3}\).

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Answer:

C

Step-by-step explanation:

When the steps are followed. They both pay the same amount

Answer:

C

Step-by-step explanation:

A: Helen paid $60 at store A for 4 Dress Shirts

B:Henry bought 4 dress shirts at Store B for $63

D: (1 shirt)Store A with discount is $15 and at Store B (with $9 coupon) $9 , though it is true with one shirt, it is not certain this will happen with a greater amount of shirts.

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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The derivative of f(x) is -3/4.

To find the derivative, use the definition of a derivative:

f'(x) = lim h→0 [f(x + h) - f(x)] / h

Substitute f(x) = √(4x + 3) into this definition:

f'(x) = lim h→0 [√(4(x + h) + 3) - √(4x + 3)] / h

Multiplying by the conjugate of the numerator:

f'(x) = lim h→0 [(√(4(x + h) + 3) - √(4x + 3)) * (√(4(x + h) + 3) + √(4x + 3))] / [h * (√(4(x + h) + 3) + √(4x + 3))]

Expanding the numerator, we get:

f'(x) = lim h→0 [(4(x + h) + 3) - (4x + 3)] / [h * (√(4(x + h) + 3) + √(4x + 3)) * (√(4(x + h) + 3) + √(4x + 3)))]

f'(x) = lim h→0 [4h] / [h * (√(4(x + h) + 3) + √(4x + 3)))]

Canceling out the h terms, we get:

f'(x) = lim h→0 4 / (√(4(x + h) + 3) + √(4x + 3)))

Now, we can evaluate the limit as h approaches 0:

f'(x) = 4 / (√(4x + 3) + √(4x + 3))

f'(x) = 4 / (2√(4x + 3))

f'(x) = 2 / √(4x + 3)

Therefore, the derivative of f(x) is -3/4.

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Answer:

8/14

Just need to add the top

:)

Answer:

1. A

2. D

3. D

Step-by-step explanation:

For one & two: Basically, what you do is you replace the Xs from the answers with all the set of numbers given from the question. You then see after you  test the numbers  w/ the answers it'll help you find the correct answer.

For three: Using all the numbers starting from zero to the left you use it to solve the problem by utilizing those numbers and replacing it w/ the Xs as explained above to find your answer.

Answer:

X=25

Step-by-step explanation:

All angles of a triangle add up for 180

We know that there is a 90 degree right angle.

So (x+25)+(2x-10)=180-90

Remove parenthesis since they don't matter in this problem.

x+25+2x-10=90

Combine similar terms

3x+15=90

Subtract 15 from both sides

3x=75

Divide both sides by 3

x=25

Answer:

She is 90 feet above ground before she begins to descend.

She descends by a rate of 5 feet per second.

Step-by-step explanation:

She is 90 feet above ground before she begins to descend. You can see that by looking at the y value of the highest point of the line, which is just between 80 and 100, which is 90.

We can find the rate of her descending by finding the slope. Remember that the slope formula is (y1-y2)/(x1-x2)

We can find two points on the line and plug the x and y values in. Let's use the points (0, 90) and (16, 10).

We plug the values in:

(90-10)/(0-16)

(80)/-16

-5

The slope is negative, which makes sense, because Aretha is descending and not ascending.

So, she is descending by a rate of 5 feet per second.

I hope this helps you!

a) The order of execution for the expression is: parentheses, multiplication, addition, division.

b) The order of execution for the conditional statement is: exponentiation, multiplication, comparison.

a) For the expression −X∗(Y+2)/Z:

The parentheses (Y+2) are evaluated first.

Then, the negation -X is applied.

Next, the multiplication -X*(Y+2) is performed.

Finally, the division (-X*(Y+2))/Z is executed.

b) For the conditional statement If Sum ∧ 2<= Sum* ∗ 6 then:

The exponentiation Sum ∧ 2 is computed first.

Then, the multiplication Sum* ∗ 6 is performed.

Finally, the comparison 2<= Sum* ∗ 6 is evaluated to determine the truth value of the condition.

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To assess the likelihood of the sample results given the population proportion, we can use statistical inference and conduct a hypothesis test.

In this case, we compare the observed sample proportion to the assumed population proportion.

Define the null hypothesis (H0) and alternative hypothesis (Ha). In this case, the null hypothesis is that the population proportion is equal to 0.49, and the alternative hypothesis is that the population proportion is not equal to 0.49.

Calculate the test statistic using the formula: test statistic = (sample proportion - assumed population proportion) / standard error of the sample proportion.

Compute the standard error of the sample proportion using the formula: standard error = sqrt[(assumed population proportion * (1 - assumed population proportion)) / sample size].

Determine the p-value associated with the test statistic. This represents the probability of observing a sample proportion as extreme or more extreme than the observed proportion, assuming the null hypothesis is true.

Compare the p-value to a predetermined significance level (e.g., 0.05) to make a decision. If the p-value is less than the significance level, we reject the null hypothesis and conclude that the observed sample proportion is significantly different from the assumed population proportion.

Based on the result, select the appropriate answer choice that describes the likelihood of a wrong call in the election if exit polling alone is considered.

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The null hypothesis would be that there is no significant difference in productivity between the four programs. The alternative hypothesis would be that there is a significant difference in productivity between at least two of the programs.

In this scenario, Excel is trying to increase the productivity of its line workers and is testing four different programs. A sample of twenty employees has been randomly assigned to one of the programs, and their daily output has been recorded in the file named "ahmadi." We will use these data to determine if any of the programs are effective in increasing productivity. The null and alternative hypotheses can be stated as follows:
Null Hypothesis (H0): There is no significant difference in productivity between the four programs. In other words, none of the programs have a meaningful impact on the productivity of the line workers.
Alternative Hypothesis (H1): At least one of the four programs has a significant impact on the productivity of the line workers, leading to increased output compared to the other programs.
To test these hypotheses, you would typically perform an analysis of variance (ANOVA) on the data provided in the "ahmadi" file. If the ANOVA result is significant, you would reject the null hypothesis and accept the alternative hypothesis, indicating that at least one program effectively increases productivity.

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Answer:

Correlation doesn't prove causation because just because two things correlate does not necessarily mean that one causes the other.It's easy to think that just because two things seem related, that one must be the cause of the other. But that can be a foolish and sometimes dangerous assumption

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

The risks that may occur in the various listed cases above include the following:

a.) There may be hidden preclose tax issues

b.) There may be poor financial statements

c.) There may be increased exposure to cyber threats.

The various strategies to attends to the risks of the above listed cases is as follows:

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Answer:

x = 23

Step-by-step explanation:

If the sum of angles is equal to 180 then we can write and equation to find the value of x

5x + 10 + 55 = 180 add like terms

5x + 65 = 180 subtract 65 from both sides

5x = 115 divide both sides by 5

x = 23

The graph of the function is added as an attachment

From the question, we have the following parameters that can be used in our computation:

f(x) = x² + 2     if -5 ≤ x < 3

     = x - 4       if 3 ≤ x < 7

The above function shows that there are two functions and two different domains for each function

Next, we plot the graph of each function in its domain

See attachment for the graph of the function

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The fraction of the whole garden is planted with carrots is 2/3

A fraction can be defined as the part of a whole number or variable.

The different types of fractions are listed as;

From the information given, we have that;

1)/(3) of those vegetables are carrots.

Let us assume that the entire garden is 1

Then, we have that;

The fraction of the whole garden is planted with carrots is given as;

1 - 1/3

Find the lowest common multiple

3 - 1/3

2/3

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Answer:

The distance covered by a train in 1 minute = 1.25 kilometers

The distance covered by a train in 100 minutes = 125 kilometers

Step-by-step explanation:

The distance covered = 7.5 kilometers

Time taken = 6 minutes

Calculating unit rate

unit rate = 7.5 kilometers / 6 minutes

              = 1.25 kilometers per minute

Thus,

The distance covered by a train in 1 minute = 1.25 kilometers

and

The distance covered by a train in 100 minutes = 1.25 × 100

                                                                                = 125 kilometers

Answer:

9.

p ≤ -3

The graph is a closed dot (filled in dot) on -3, and an thick line with an arrowhead pointing to the left coming out of the -3.

Step-by-step explanation:

8.

Your answer to 8. is correct, but you need to be careful solving it.

6x = -48

You have 6x on the left side. You want x alone. You need to divide both sides by 6, not by 6x.

\( \dfrac{6x}{6} = \dfrac{-48}{6} \)

x = -8

9.

-2 ≥ 4p + 6 + 4

Add like terms on the right side.

-2 ≥ 4p + 10

You want variables on the left side and numbers on the right side.

Subtract 4p from both sides.

-2 - 4p ≥ 4p - 4p + 10

-2 - 4p ≥ 10

Add 2 to both sides.

-2 + 2 - 4p ≥ 10 + 2

-4p ≥ 12

Now we need to divide both sides by -4. In an inequality, when you multiply both sides or divide both sides by a negative number, the inequality sign changes direction.

\( \dfrac{-4p}{-4} \le \dfrac{12}{-4} \)

p ≤ -3

The graph is a closed dot (filled in dot) on -3, and an thick line with an arrowhead pointing to the left coming out of the -3.

Given:

Rahul and Swapnil brought an equal amount of money for shopping.

Rahul spend rupees 95 and Swapnil spend rupees 350.

After that Swapnil had \(\dfrac{4}{7}\) of what Rahul had left.

To find:

How much money did Rahul have left after shopping.

Solution:

Let x be the amount brought by both Rahul and Swapnil.

Rahul spend rupees 95 and Swapnil spend rupees 350. So, the remaining amounts are:

Rahul's remaining amount = \(x-95\)

Swapnil's remaining amount = \(x-350\)

After that Swapnil had \(\dfrac{4}{7}\) of what Rahul had left.

\((x-350)=\dfrac{4}{7}\times (x-95)\)

\(7(x-350)=4(x-95)\)

\(7x-2450=4x-380\)

Isolate the variable terms.

\(7x-4x=2450-380\)

\(3x=2070\)

\(x=\dfrac{2070}{3}\)

\(x=690\)

Now, the remaining amount of Rahul is:

\(x-95=690-95\)

\(x-95=595\)

Therefore, the correct option is B.

Answer:

Step-by-step explanation:

Step1

Definition permutation (order is important):

P(n,r)= n!/(n−r)!

Definition combination (order is not important):

C(n,r) =( n/r )= n!/r!(n−r)!

Step2

a) The order of the students does not matter, because a different order results in the same students being selected, and thus we should use the definition of combination.

We are selecting 3 of the 17 students in the class (of which 3 are math majors and 14 are not math majors).

# of possible outcomes=(17,3)=17!/3!(17−3)!=17!/3!14!=680

There areC(14,3) ways to select 3 of the 14 no math majors.

# of favorable outcomes=C(14,3)= 14!/3!(14−3)! = 14!/3!11! =364

The probability is the number of favorable outcomes divided by the number of possible outcome.

P(no math majors)= # of favorable outcomes/# of possible outcomes

                             = 364/680= 91/170

                             ≈0.5353=53.53%

Step 3

(b) By part (a):

P(no math majors)=91/170≈0.5353=53.53%

Use the Complement rule

Complement rule:

P(E’)=1−P(E)

P(at least one math major)=1−P(no math majors)=1−91/170

=79/170≈0.4647=46.47%

Step 4

(c) The order of the students does not matter, because a different order results in the same students being selected, and thus we should use the definition of combination.

We are selecting 3 of the 17 students in the class (of which 3 are math majors and 14 are not math majors).

# of possible outcomes=C(17,3)= 17!/3!(17−3)!=17! /3!14!=680

There areC(14,1) ways to select 1 of the 14 no math majors and there are

C(3,2) ways to select 2 of the 3 major majors.

# of favorable outcomes=C(14,1)⋅C(3,2)=14⋅3=42

P(2 math majors)= # of favorable outcomes/# of possible outcomes

                           = 42/680= 21/340=approx0.0618=6.18%

​

Answer:

(3+2i)(9-7i)

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

I calculated it straight forward. lol

Answer:

the first option

The critical value that is used to construct a confidence interval for a proportion depends upon C. the confidence level and the sample size.

The critical value used to construct the confidence interval for proportion depends on:

1) The sample size:

The probability changes as the sample size changes as the distribution of the test statistics is dependent on sample size, thus the critical value will depend on sample size.

2) The confidence level:

The critical value is always calculated by using the confidence level, so it is dependent on it.

The sample proportion is the observed value which is used to perform the test, but not to construct the critical value.

Thus the correct option is:

Option C: The confidence level and sample size.

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Answer:

1x + 46 or x + 46

Step-by-step explanation:

4(-8x + 5) – (-33x – 26)

-32x + 20 + 33x + 26

1x + 46

or x + 46

Answer:

just put out + from the question.

Answer:

B) t can be any whole number where 0 ≤ t < 75.

Step-by-step explanation:

Edge

Answer:

-14

Step-by-step explanation:

isolate x's on one side so subtract 8.5x and add 1 on both sides

\(-14 = 1x\)

simplifies to

x = -14

Answer:

x>=9

Step-by-step explanation:

so, we can plot this on a number line

the point at 9 is a solid dot, since brackets (not parenthasis) indicates that we including the number. the shaded part of the line extends all the way to positive infinity. the shaded part means that it is a solution, while the un-shaded parts aren't solutions to [9,infinity) it is x>=9 and not x>9 because 9 is included.

x>=9 is the answer