Which ones are complementary angles?
Which ones are also supplementary angles? MPN and what? Choices: MPR, NPQ, RPO, RPQ
Which ones are vertical angles? QPN and what? Choices: RPQ, MPN, MPO, RPO

a) there are no critical points where the derivative is equal to zero.

b) the absolute maximum value of f(x) on the interval [-8,27] is approximately 143.79.

c) the absolute minimum value of f(x) on the interval [-8,27] is approximately 15.08.

(a) To find the critical points, we need to find where the derivative of f(x) is equal to zero or undefined.

The derivative of f(x) is:

f'(x) = 2x⁽⁻¹/³⁾

Setting f'(x) equal to zero, we get: 2x⁽⁻¹/³⁾ = 0

This has no solution, so there are no critical points where the derivative is equal to zero.

To find where the derivative is undefined, we need to look for values of x where the denominator of the derivative (x⁽¹/³⁾) is equal to zero.

However, x⁽¹/³⁾ is always defined, so there are no critical points where the derivative is undefined. Therefore, there are no critical points for f(x).

(b) To find the absolute maximum value of f(x) on the interval [-8,27], we need to evaluate f(x) at the endpoints and any critical points.

Since there are no critical points, we only need to evaluate f(x) at the endpoints:

f(-8) = 3(-8)⁽²/³⁾ ≈ 15.08 f(27) = 3(27)⁽²/³⁾ ≈ 143.79

Therefore, the absolute maximum value of f(x) on the interval [-8,27] is approximately 143.79.

(c) To find the absolute minimum value of f(x) on the interval [-8,27], we again need to evaluate f(x) at the endpoints and any critical points.

Since there are no critical points, we only need to evaluate f(x) at the endpoints: f(-8) = 3(-8)⁽²/³⁾ ≈ 15.08 f(27) = 3(27)⁽²/³⁾ ≈ 143.79

Therefore, the absolute minimum value of f(x) on the interval [-8,27] is approximately 15.08.

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Answer:

a.3/17

b.14/17

Step-by-step explanation:

a. formula =Number of favourable outcome/Total number of outcome =3/17

b.14/17

Answer:

3m = 3m

Step-by-step explanation:

Divide both sides by 3, and you get m = m

disappointing but this was all i could think of sorry

Answer:

(2x-5)(3x+1)

Step-by-step explanation:

make brackets:

(    )(    )

(    )(    )

we no that since there is two minuses in the trinomial there will be one - and one +

there are two beacause 6 is 6*1 and 2*3

(2x-   )(3x+  )

(6x+  )(1x-    )

now use some ingenuity to find where 5 and 1 should go to complete

(2x-5)(3x+1)

(2x+5)(3x-1)

(2x-1)(3x+5)

(2x+1)(3x-5)

the first binomial is the answer

2x*3x = 6x^2

-5*+1 = -5

2x*1 = 2x

3x*-5 = -15x

6x^2 +2x - 15x - 5

6x^2 - 13x - 5

Answer: 15

Step-by-step explanation:

40- 24 = 16

16 dollars worth of candy

1.25 dollars per candy x 12 candy bars = $15 dollars of candy worth

15 is the closest answer because if u multiply 13 with 1.25 it will be 16.25 which is over the price

Answer:

Step-by-step explanation:

You know he has $40, and you know the game is $24.

Subtract $24 from 40, and you end up with $16.

Find out how many times 1.25 goes into 16, (12) and you know that he can buy 12 candy bars.

The annual investment amount required to accumulate a reserve fund of $50,000 in 10 years, assuming an annual return of 5%, is approximately $3,720.

To calculate this, we can use the formula for the future value of an ordinary annuity: \[FV = P \times \left( \frac{{(1 + r)^n - 1}}{r} \right),\] where \(FV\) is the future value (desired reserve fund amount), \(P\) is the annual investment amount, \(r\) is the annual interest rate (in decimal form), and \(n\) is the number of years. Rearranging the formula to solve for \(P\), we have: \[P = \frac{{FV \times r}}{{(1 + r)^n - 1}}.\]Substituting the given values into the formula, we get: \[P = \frac{{50000 \times 0.05}}{{(1 + 0.05)^{10} - 1}} \approx 3720.\]Therefore, the business owner would need to invest approximately $3,720 annually to accumulate a reserve fund of $50,000 at the end of 10 years, assuming a 5% annual return.

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Gregory has 10 ways to choose 3 boxes of cereal.

What do you mean by purchase?

A corporation or organization uses the purchasing process to buy products or services in order to achieve its objectives. Although many organizations make an effort to establish standards for the purchasing process, procedures can differ significantly between organizations.

According to data in the given question,

We have :

The purchase of 3 boxes and the store has 5 different varieties of munchie brand cereal.

The order in which the boxes of cereal are chosen is not important as Gregory can randomly choose any 3 different varieties. So, this is a combination problem.

Use the combination formula:

\(_nC_r=\dfrac{n!}{r!(n-r)!}\)

Putting n=5 (5 different varieties) and r=3 (3 different varieties). So, the number of ways Gregory choose 3 boxes of cereal is:

\(_{5}C_3=\dfrac{5!}{3!(5-3)!}=\dfrac{5!}{3!2!}= \frac{5.4.3.2.1}{3.2.1.2.1} _{5}C_3=\dfrac{5\cdot 4}{2\cdot 1}=10\)

Therefore, the required answer is 10 ways.

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Explanation

Step 1

to find the total area divide the figure

now, we need to find the area of the triangle

so, we need to find the hypotenuse of the triangle

so, the height of the triangle is 5 cm

Step 2

let

side of the square=6

heigth of the triangle=5

base of the triangle=6

I hope this helps you

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

35a_11a+4

24a+4

hope it helps

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Let's simplify step-by-step.

\(9a * (3) + 8a + 4 -11a\)

\(= 27a + 8a + 4 + -11a\)

Combine Like Terms:

\(= 27a + 8a + 4 + -11a \\= ( 27a + 8a + -11a ) + (4) \\= 24a + 4\)

Answer : \(\boxed {24a + 4}\)

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

If 15% of 500 is equal to 7.5% of the number, the number is equals to 1000.

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100.

Therefore, let's find the number if 15% of 500 is equal to 7.5% of the number.

Let

x = the number

Hence,

15% of 500 = 7.5% of x

15 / 100 × 500 = 7.5 / 100 × x

75 = 7.5x / 100

cross multiply

7500 = 7.5x

divide both sides by 7.5

x = 7500 / 7.5

x = 1000

Therefore, the number is 100.

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The limit is not zero, we conclude that \(f(x) = x^4 + 9x^3 + 4x + 7\) is not\(o(x^4)\) as x approaches infinity.

To prove that \(f(x) = x^4 + 9x^3 + 4x + 7\)is o(\(x^4\)) as x approaches infinity,

we need to show that the ratio \(\frac{f(x)}{x^4}\) tends to zero as x becomes large.

Let's calculate the limit of \(\frac{f(x)}{x^4}\) as x approaches infinity:

lim(x->∞)\([\frac{f(x)}{x^4}]\)

= lim(x->∞)\(\frac{ (x^4 + 9x^3 + 4x + 7)}{x^4}\)

= lim(x->∞)\([1 + \frac{9}{x} + \frac{4}{x^3} + \frac{7}{x^4}]\)

As x approaches infinity, all the terms with\(\frac{1}{x},\frac {1}{x^3},\) and \(\frac{1}{x^4}\)tend to zero.

The only term that remains is 1.

Therefore, the limit is:

lim(x->∞) \([\frac{f(x)}{x^4}] = 1\)

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The four benefits of persevering when you study the most difficult aspects of the school subjects are:

1 Improved understanding

2 Increased confidence

3 Better grades

4 Greater satisfaction

There are many benefits to persevering when studying the most difficult aspects of your school subject. Here are four benefits:

1. Improved understanding: By persevering and putting in the effort to understand the difficult aspects of your subject, you will have a better overall understanding of the subject as a whole. This will help you to succeed in exams and assignments, and will also make it easier to learn new material in the future.

2. Increased confidence: By pushing through the challenging parts of your subject, you will gain confidence in your ability to tackle difficult tasks. This confidence can help you in other areas of your life, including other school subjects and extracurricular activities.

3. Better grades: By putting in the effort to understand the most difficult aspects of your subject, you are likely to see an improvement in your grades. This can have a positive impact on your academic record and can help you to achieve your long-term goals.

4. Greater satisfaction: Finally, persevering through difficult material can lead to a greater sense of satisfaction and accomplishment. Knowing that you worked hard and overcame a challenge can be very rewarding and can help to motivate you to continue studying and working hard in the future.

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Write an example from daily life that uses rational numbers .

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Answer: (-1,7)

Step-by-step explanation:

If the function f(g(x)) = x passes through (7, -1). then the function g(f(x)) = x passes through (-1, 7).

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The graph of function f passes through (7,-1). Function g satisfies f(g(x)) = x and g(f(x)) = x for all real numbers.

At x = -1, we have the function f

\(f(7) = -1\)

The function g is an inverse of function f.

\(g(-1) = 7\)

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Answer:

3h+4.50=15

We know that she skates for 3 hours, but we don't know the cost per hour so is the "h". He pays a start up $4.50 for the ice skates. And he spend $15 in total for ice skating.

Hopefully that helps. Have a great night! Or day!

Answer:

I think the answer is A=49

A total of 15 steps are required to sort the array using the selection sort algorithm.

The selection sort algorithm works by repeatedly finding the minimum element from the unsorted part of the array and placing it at the beginning. Here are the steps required to sort the given array:

In the first iteration, the minimum element 4 is found at index 0 and swapped with the element at index 0. The array becomes [4, 8, 20, 12, 19, 70].

In the second iteration, the minimum element 8 is found at index 1 and swapped with the element at index 1. The array remains the same.

In the third iteration, the minimum element 12 is found at index 3 and swapped with the element at index 2. The array becomes [4, 8, 12, 20, 19, 70].

In the fourth iteration, the minimum element 19 is found at index 4 and swapped with the element at index 3. The array becomes [4, 8, 12, 19, 20, 70].

In the fifth iteration, the minimum element 20 is found at index 4 and swapped with the element at index 4. The array remains the same.

In the sixth and final iteration, the minimum element 70 is found at index 5 and swapped with the element at index 5. The array remains the same.

Thus, a total of 15 steps (6 iterations with 9 swaps) are required to sort the array using the selection sort algorithm.

To sort the given array using the selection sort algorithm, a total of 15 steps are required.

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The most effective way to use her 4 hours of study time to get the highest possibility or probability of test scores would be to spend 4 hours working on multiple-choice problems and 0 hours reviewing lecture notes.

From the information given, it is clear that working on multiple-choice problems is the most effective way to improve her test score. Therefore, the highest possibility or probability of test scores would be achieved by spending the most time working on multiple-choice problems.

The available time for studying is 4 hours, so the maximum time that can be spent working on multiple-choice problems is 4 hours. If she spends 4 hours working on multiple-choice problems, she will not have any time left to review lecture notes.

So, the most effective way to use her 4 hours of study time to get the highest possible test score would be to spend 4 hours working on multiple-choice problems and 0 hours reviewing lecture notes.

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Answer:

the answer of this question is 1/2

PLEASE GIVE BRAINLIEST
thank you and have a good day :)

I hope this helps

Answer:

x = 5

Step-by-step explanation:

-15 = -5(3x-12)

The first step is to extract the 3x and multiply it by the -5 and do the same with the -12.

-15 = -15x + 60

-15 - 60 = -15x

-75 = -15x

x = 5

Therefore the polynomial (x – 2)(x^2 + 1) – x(x – 3) can be written in the form: ax^3 + bx^2 + cx + d = x^3 - 2x^2 + 4x - 6 where a = 1, b = -2, c = 4, and d = -2

The polynomial (x – 2)(x^2 + 1) – x(x – 3) can be written as:

ax^3 + bx^2 + cx + d = (x - 2)(x^2 + 1) - x(x - 3)

To find the values of a, b, c, and d, we need to multiply out the binomials and combine like terms. Using the distributive property, we get:

ax^3 + bx^2 + cx + d = x^3 - 2x^2 + x^2 + x - x^2 + 3x - 2

Now we can combine like terms:

ax^3 + bx^2 + cx + d = x^3 - 2x^2 + 4x - 2

So we can see that:

a = 1, b = -2, c = 4, and d = -2

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Answer:

E

Step-by-step explanation:

the square root of 64÷49 =a rational number

Answer:

37.5 cm^2

Step-by-step explanation:

2.5 * 3.5 = 6.25

6.25 x 6 is 37.5

The range of elevations is 166 meters.

Find the biggest observed value of a variable (the maximum) and subtract the smallest observed value to determine the range (the minimum). The data points between the distribution's two extremes are not taken into account by the range; just these two values are.

So as mentioned above, given to us are the lowest and highest values

So as the lowest value is 7 meters and the highest value is 173 .

Thus range is equal to 173-7

which is equal to 166.

Thus range is 166 meters.

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The probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

To find the probability of selecting an anglerfish on the next card, we need to calculate the ratio of the number of anglerfish cards to the total number of cards in the deck.

From the given information, Scarlett selected 2 anglerfish cards during her previous selections.

The total number of cards she selected is 2 + 3 + 1 + 4 + 5 = 15.

Therefore, the probability of selecting an anglerfish card on the next draw is 2/15.

Calculate the total number of cards Scarlett selected.

2 + 3 + 1 + 4 + 5 = 1

Calculate the number of anglerfish cards Scarlett selected.

Scarlett selected 2 anglerfish cards.

Calculate the probability of selecting an anglerfish card on the next draw.

Probability = Number of anglerfish cards / Total number of cards

Probability = 2 / 15

Probability ≈ 0.1333

Thus, the probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

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The equivalent expression is 5b-0.9b.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.

As per the given information in the question,

Discount on the price of bread = 18%

Total loaves of bread by Shanaya = 5

Let the price of bread is b.

Then, the expression for the statement will be,

=>5 (b - 0.18b)

The equivalent expression for the statement will be,

=>5b - 0.9b

Hence the equivalent expression is 5b-0.9b.

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It is recommended that a ramp have at least 8 feet of horizontal distance for every 1 foot of horizontal rise along an incline. The ramp in the illustration has a 3-foot vertical rise. The ramp shown in the question matches the recommended specifications.

To check whether the ramp shown in the question matches the recommended specifications, we need to calculate the horizontal distance covered by the ramp for a vertical rise of 3 feet.

According to the recommended specifications, the horizontal distance should be at least 8 times the vertical rise. Therefore, for a vertical rise of 3 feet, the minimum horizontal distance required would be:

Horizontal distance = 8 x 3 = 24 feet

However, the ramp shown in the question has a length of 44 feet. This means that the horizontal distance covered by the ramp is:

Horizontal distance = \(\sqrt{(44^2-3^2)}\)= \(\sqrt{(1936-9)}\)= \(\sqrt{1927}\) ≈ 44.0 feet

As we can see, the actual horizontal distance covered by the ramp (44 feet) is more than the recommended minimum distance of 24 feet. Therefore, the ramp shown in the question matches the recommended specifications, and it can be considered safe for use.

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Stephen suggests using at least 20 questions in a baseline survey.

Stephen suggests using at least 20 questions in a baseline survey. Baseline survey refers to the gathering of data from a sample or population to obtain a set of measures that can be used to assess the current status of the population or sample of interest. The goal of a baseline survey is to generate an understanding of the status of a particular variable(s) at the outset of an intervention.Stephen recommends using at least 20 questions in a baseline survey as a general rule of thumb. In addition to using at least 20 questions in a baseline survey, it is important to pay close attention to the type of questions asked, the format of the questions, and the phrasing of the questions to ensure that the responses obtained are reliable and valid

Stephen suggests using at least 20 questions in a baseline survey. The goal of a baseline survey is to generate an understanding of the status of a particular variable(s) at the outset of an intervention. In addition to using at least 20 questions in a baseline survey, it is important to pay close attention to the type of questions asked, the format of the questions, and the phrasing of the questions to ensure that the responses obtained are reliable and valid.

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