If $x$ is the average of $13$, $-16$, and $6$ and if $y$ is the cube root of $8$, find $x^2 + y^3$. Please Help

Answers

Answer 1

Answer:

If we have a set of N elements:

{x₁, x₂, ..., xₙ}

The mean value (also called the average value) Is calculated as:

Average = (x₁ + x₂ + ... + xₙ)/n

So if x is the average of 13, -16 and 6 ( a total of 3 values)

x will be equal to:

x = (13 + (-16) + 6)/3 = (19 - 16)/3 = 3/3 = 1

x = 1

And we know that:

y = ∛8

Remember that:

2*2 = 4

and

4*2 = 8

then

2*2*2 = 2^3 = 8

then ∛8 = 2.

So we have:

y = ∛8 = 2

Now we can replace these values in the equation:

x^2 + y^3

replacing:

x = 1

y = 2

we get:

1^2 + 2^3 = 1 + 8 = 9


Related Questions

What times it’s self 3 times gets 125

Answers

5 because 5 times 5 is 25 then 25 times 5 equals 125

Answer: 125

Step-by-step explanation: In other words, a cube root calculator finds the value that, when multiplied by itself 3 times, gives the number you started with. For example, the cube root of 125 is 5, because 5 times 5 times 5 equals 125.

PLZ HELP!!! WAHHH >n

Answers

What is your question?
Certain games are creative you can learn how to work with a team and accept failure.
step by step explanation:
.vcddce cv.

Hey I'm Chloe Can you Help me, Thanks :)
If you were to graph the following system of equations, how many solutions would there be?
y = 5/2 x + 5
y = 5/2 x + 5
A. Infinity, many solutions
B. No solution
C. One solution
D. Two solutions

Answers

Answer:

2 solutions

Step-by-step explanation:

use desmos graphing calculator next time, it will help u so much.

The figure shows a triangle with an angle bisector. If angle SUT= 34°, find the measurement of angle 1?

The figure shows a triangle with an angle bisector. If angle SUT= 34, find the measurement of angle 1?

Answers

The ANGLE BISECTOR mentioned in the problem is simply just a line that separates an angle in half.

Meaning if it bisects ∠SUT which is 34. It just means that it divides the angle 34 into 2 equal parts.

Therefore ∠1 is just one-half of the ∠SUT.

\(\begin{gathered} m\angle1=\frac{\angle SUT}{2} \\ m\angle1=\frac{34}{2} \\ m\angle1=17 \end{gathered}\)

Therefore the measurement of ∠1 is 17°.

by convention, when the p-value for the difference between the observed experimental outcomes and the expected outcome is less than 5 percent (< 0.05), the experimental results are considered to be

Answers

When the p-value for the difference between the observed experimental outcomes and the expected outcome is less than 5 percent (< 0.05), the experimental results a  to be statistically significant and different from the expected outcome.

The P value is defined as the probability of obtaining a result equal to or more extreme than what was observed. The P stands for probability. The p-value represents the probability of the occurrence of a given event. To put it more simply the p-value refers to the percentage of experiments in which the sample differences are larger or smaller than an observed value.

Know more about p-value

//brainly.com/question/28197808

#SPJ4

What are all the values that a correlation r can possibly take?
A. 0 ≤ r ≤ 1
B. r ≥0
C. -1 ≤ r ≤ 1
D. None of the above.

Answers

The possible values that a correlation coefficient, r, can take are bounded between -1 and +1, where the correlation coefficient (r) is a statistical measure that quantifies the degree and direction of the linear relationship between two variables.

It ranges from -1 to +1, where a value of -1 represents a perfect negative correlation, a value of 0 represents no linear correlation, and a value of +1 represents a perfect positive correlation.

The magnitude of the correlation coefficient indicates the strength of the relationship between the two variables. It is a numerical value that ranges from -1 to +1. The value of r indicates the degree of association between two variables.

A positive value of r indicates a positive correlation, meaning that as one variable increases, the other variable tends to increase as well. A negative value of r indicates a negative correlation, meaning that as one variable increases, the other variable tends to decrease.

To know more about Correlation coefficient:

https://brainly.com/question/15577278

#SPJ4

what is the average rate of change for f(x)+2^x+2 over interval −1 ≤ x ≤ 1

Answers

Answer:

adsefrthgfdsfgd

Step-by-step explanation:

Find what r equals -8 - 6(r + 4) = -8r - 38
(Explanation please)

Answers

Answer:

r = -3

Step-by-step explanation:

-8-6(r+4)=-8r-38 distribute -6 into the parentheses

-8-6r-24=-8r-38 simplify

-6r-32=-8r-38 add 8r to both sides

2r-32=-38 add 32 to both sides

2r=-6 divide both sides by 2

r = -3

Answer:

\(r=-3\)

Step-by-step explanation:

Alright.

\(-8-6(r+4)=-8r-38\)

First, we'll distribute that \(-6\).

\(-8-6r-24=-8r-38\)

Next, I'm going to move the \(-8r\) to the other side.

\(-8-6r-24+8r=-38\)

That means the sign changes. Now, I'll combine like terms on the left.

\(2r-32=-38\)

Now, I'll move the \(-32\) over to the right.

\(2r=-6\)

Divide both sides by 2.

\(r=-3\)

And we're done!

The park was muddy and the dogs’ paws got muddy while playing. Jen has wipes to clean the dogs’ paws. It takes one wipe to clean each paw. How many wipes will they need?

pls give me the correct answer

Answers

Answer:

A regular dog has 4 legs so it has 4 paws. If each paw needs one wipe Jen will need 4 wipes.

Jen will need 4 wipes for each paw

PLEASE GIVE ME RIGHT ANSWERS HELP ME FAST I BEG YOU

PLEASE GIVE ME RIGHT ANSWERS HELP ME FAST I BEG YOU
PLEASE GIVE ME RIGHT ANSWERS HELP ME FAST I BEG YOU
PLEASE GIVE ME RIGHT ANSWERS HELP ME FAST I BEG YOU
PLEASE GIVE ME RIGHT ANSWERS HELP ME FAST I BEG YOU

Answers

On the first proof:

Reason 1: Given

Reason 4: Reflexive Property

Reason 5: ASA

Proof 2:

Reason 2: Alternate Interior Angles Theorem

Reason 3: Given

Reason 4: Reflexive Property

Reason 5: AAS

Proof 3:

Reason 2: Given

Reason 3: Symmetric Property

Reason 4: Hypotenuse-Leg Theorem

Reason 5: CPCTC

Proof 4:

Reason 2: Definition of bisector

Reason 3: Given

Reason 4: Reflexive Property

Reason 5: SAS

The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $6.50 and each adult ticket sells for $11.50. The drama club must make a minimum of $1300 from ticket sales to cover the show's costs. Write an inequality that could represent the possible values for the number of student tickets sold, ss, and the number of adult tickets sold, aa, that would satisfy the constraint.

Answers

The inequality that could represent the possible values for the number of tickets sold will be 6.5s + 11.5a ≥ 1300.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The dramatization club is offering passes to their play to fund-raise for the show's costs. Every understudy ticket sells for $6.50 and every grown-up ticket sells for $11.50. The dramatization club should make at least $1300 from ticket deals to take care of the show's expenses.

Let 's' and 'a' be the number of tickets sold to students and adults, respectively. Then the inequality is given as,

6.5s + 11.5a ≥ 1300

The inequality that could represent the possible values for the number of tickets sold will be 6.5s + 11.5a ≥ 1300.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ1

It takes 3 egg to make two dozen cookies about what fracion of an aegg are in two cookiies

Answers

Answer:1/4

Step-by-step explanation:3*2/(2*12)=1/4 so our answer is 1/4.

The table shows the amount of snow, in cm, that fell each day for 30 days. Amount of snow (s cm) Frequency 0  s < 10 8 10  s < 20 10 20  s < 30 7 30  s < 40 2 40  s < 50 3 Work out an estimate for the mean amount of snow per day

Answers

The mean amount of snow per day is equal to 19 cm snow per day.

How to calculate the mean for the set of data?

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

For the total amount of snow based on the frequency, we have;

Total amount of snow (s cm), F(x) = 5(8) + 15(10) + 25(7) + 35(2) + 45(3)

Total amount of snow (s cm), F(x) = 40 + 150 + 175 + 70 + 135

Total amount of snow (s cm), F(x) = 570

Now, we can calculate the mean amount of snow as follows;

Mean = 570/30

Mean = 19 cm snow per day.

Read more on mean here: brainly.com/question/9550536

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The table shows the amount of snow, in cm, that fell each day for 30 days. Amount of snow (s cm) Frequency

find the missing factor
(2×3)+(2×9)=. (3+9)​

Answers

Answer: (2*3) = 6

(2*9) = 18       6+ 18 = 24

(3+9) = 12

Step-by-step explanation:

So whats missing is times 2 on the right side next to (3+9) *2

(2×3)+(2×9)=. (3+9)​*2

Evaluation:
Compare the scenarios to determine which one represents
a greater speed. Explain your choice and be sure to
include unit rates in your explanation.
Distance (miles)
Scenario 1:
Traveling Time
400
300
200
100
0
(4,240)
(1.60)
12345678
Time (hours)
Scenario 2:
y = 55x
x is time in hours
y is distance in miles
M
2
A
alt

Answers

The scenario with the greater traveling speed is Scenario 1 with a speed of 60 mph which is more than the speed in Scenario 2 with a speed of 55 mph.

What is the speed of a moving body?

The speed of a body is the ratio of the distance traveled to the time it takes to travel the distance.

The scenario in the question, obtained from a similar question on the website are as follows;

Scenario 1;

A graph of Traveling Time having Distance (miles) as the vertical axis and Time (hours) as the horizontal axis.

The points on the graph are; (1, 60), and (4, 240)

Scenario 2;

Scenario 2 consists of the equation; y = 55·x

Where;

x = The time duration in hours

y = The distance traveled in miles

The data in each scenario suggest a linear relationship, such that we get;

The speed = Distance/Time = The slope of the graph of the data

The slope of a linear relationship is the coefficient of x when the coefficient of y is 1

Therefore;

The speed of Scenario 1 = The slope = (240 - 60)/(4 - 1) = 60

The slope of Scenario 1 and therefore the speed is 60 miles/hour

The coefficient of x in the equation for Scenario 2; y = 55·x is 55, therefore;

The slope of Scenario 2 = 55 = The speed of Scenario 2

The speed of Scenario 2 = 55 miles/hour

The speed in Scenario 1; 60 mph > The speed in Scenario 2; 55 mph

Learn more about the speed of a translating object here: https://brainly.com/question/19462591

#SPJ1

hey can anyone help?

hey can anyone help?

Answers

Answer:

x = 4

Step-by-step explanation:

The interior angles of a triangle sum to 180°.

Therefore:

⇒ (5x + 20)° + (3x + 14)° + 114° = 180°

⇒ 5x + 20 + 3x + 14 + 114 = 180

Collect like terms:

⇒ 5x + 3x + 20 + 14 + 114 = 180

Combine like terms:

⇒ 8x + 148 = 180

Subtract 148 from both sides:

⇒ 8x + 148 - 148 = 180 - 148

⇒ 8x = 32

Divide both sides by 8:

⇒ 8x ÷ 8 = 32 ÷ 8

⇒ x = 4

Solution

x = 4

Answer:

x = 4

Step-by-step explanation:

We know that,

the sum of the interior angles in a triangle is added up to 180°.

Accordingly,

5x + 20 + 114 + 3x + 14 = 180

Combine like terms.

8x + 148 = 180

Subtract 148 by both sides.

8x = 180 - 148

8x = 32

Divide both sides by 6.

x = 4

what us the midpoint of A(-8,2) and B(4,-2)​

Answers

Answer:

(-2 , 2)

Step-by-step explanation:

A(-8 , 2) = (x1 , y1)

B(4 , -2) = (x2 , y2)

midpoint = (x1 + x2/2  ,   y1 + y2/2)

=(-8 + 4/2  ,  2-(-2)/2)

=(-4/2  ,  2+2/2)

(-2  ,  2)

(3 , 7) = (x1 , y1)

(9 , 2) = (x2 , y2)

distance of PQ = \(\sqrt{(x2 - x1)^2 + (y2 - y1)^2}\)

=\(\sqrt{(9 - 3)^2 + (2 - 7)^2}\)

=\(\sqrt{(6)^2 + (-5)^2}\)

=\(\sqrt{36 + 25}\)

=\(\sqrt{61}\)

=7.8 unit

Find angle CAD. Please help!

Find angle CAD. Please help!

Answers

The angle CAD in the triangle is 17 degrees.

How to find angles in a triangle?

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The triangle ABD and ABC are right angle triangle.

Triangle ABC is an isosceles triangle. Therefore, the base angles are equal.

An isosceles triangle is a triangle that has two sides equal to each other and two angles equal to each other.

Therefore,

∠BAC = ∠BCA = 45 degrees

Hence,

∠CAD = 180 - 90 - 28 - 45

∠CAD = 17 degrees

learn more on right triangle here: brainly.com/question/29984805

#SPJ1

What is the solution to the equation?

What is the solution to the equation?

Answers

Answer:

-2

Step-by-step explanation:

6(7b + 4) = -60

First you have to foil and then that would be:

42b + 24 = -60

Subtract 24 from the left side

42b = -84

Divide both sides by 42

b = -2

What is 3a- 32? I was trying to figure out what 2.5+3a-20-9.5 is so I need the answer to both of those questions please.

Answers

Answer:

find the GCF or factors or factors group or what?

What is 6485.91 rounded to the nearest hundred?

Answers

Answer:6500.00

Step-by-step explanation:

If we're talking about the hundreds, that will be the third digit to the left of the decimal. 8 is greater than 5 so we're rounding up, making 485.91 500, so your answer is 6500

Answer: i think it is 7499.01??

Step-by-step explanation:

I actually don't know i am guessing?!

What concept does the mean of a discrete random variable generalize? Select the correct answer below. a. Population mean (mean of a variable) b. Expected value c. Sample mean d. Distribution of a discrete random variable

Answers

The correct answer is b. Expected value. The mean of a discrete random variable generalizes the concept of expected value. The expected value of a discrete random variable is the weighted average of all possible outcomes, where the weights are the probabilities associated with each outcome.

It represents the long-term average value that we would expect to observe if we repeated the random experiment multiple times.

In the context of a discrete random variable, the mean (or expected value) is calculated by multiplying each possible value of the variable by its corresponding probability and summing them up. It provides a measure of central tendency and represents the average value we would expect to obtain from the random variable over a large number of trials.

The population mean (mean of a variable) refers to the average value of a variable in the entire population, not specifically related to a random variable. The sample mean is the average value of a variable calculated from a sample of observations. The distribution of a discrete random variable refers to the pattern of probabilities associated with each possible outcome of the variable.

Learn more about variable here:

https://brainly.com/question/29583350

#SPJ11

How do you know if a curve is positive or negative?

Answers

Positive curve graphs will be upward-sloping.

Negative curve graphs will be downward-sloping.

Both graphs in the first image attached below, show curves sloping upward from left to right. As with upward-sloping straight lines, we can say that generally the slope of the curve is positive. While the slope will differ at each point on the curve, it will always be positive.

In the graphs in the second image attached, both of the curves are downward sloping. Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

To know more about curves visit: brainly.com/question/28793630

#SPJ4

How do you know if a curve is positive or negative?
How do you know if a curve is positive or negative?

Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

on a mathematics test, Mary scored 27 points out of a possible 60 points. what was her percentage mark?

Answers

Answer:

45%

Step-by-step explanation:

\( \frac{27}{60} \times 100 = 45\%\)

Answer:

45%

Step-by-step explanation:

We know that:

Mary = 27 marksTotal marks = 60 marks

Solution:

Percentage mark of Mary = 27/60 x 100=> 9/20 x 100=> 9 x 5=> 45%

Hence, the percentage mark of Mary is 45%.

The distance between the point (- 5 ,-2) and y-axis is
length unit.
(a) - 5
(b) – 2
(c) 2
(d) 5​

Answers

Using our x coordinate to find the distance. It is because D distance is always positive.

Consider a seafloor spreading zone creating 1 centimeter of new crust over its entire 1000 kilometers length every year.
A) How many square kilometers of surface will this create in 100 million years? Express your answer in km squared

Answers

In 100 million years, the seafloor spreading zone will create 10 million square kilometers of new surface area.


The seafloor spreading zone creates 1 centimeter of new crust over its entire 1000 kilometers length every year. To calculate the surface area created, we need to multiply the length of the zone by the amount of new crust created each year.

First, we convert the length from kilometers to centimeters: 1000 kilometers = 100,000,000 centimeters.
Then, we multiply the length by the amount of new crust created each year: 100,000,000 cm * 1 cm = 100,000,000 square centimeters.

Finally, we convert square centimeters to square kilometers: 100,000,000 cm^2 = 10,000 km^2. Therefore, in 100 million years, the seafloor spreading zone will create 10,000 square kilometers of new surface area.

To know more about Seafloor visit.

https://brainly.com/question/12659717

#SPJ11

the linear correlation coefficient is always between

Answers

Correlation coefficient formulas are used to find how strong a relationship is between data.

The formulas return a value between -1 and 1, where:

• 1 indicates a strong positive relationship. A correlation coefficient of 1 means that for every positive increase in one variable, there is a positive increase of a fixed proportion in the other.

• -1 indicates a strong negative relationship. A correlation coefficient of -1 means that for every positive increase in one variable, there is a negative decrease of a fixed proportion in the other.

• A result of zero indicates no relationship at all. Zero means that for every increase, there isn’t a positive or negative increase. The two just aren’t related.

Therefore, the correct answer is: The linear correlation coefficient is always between -1 and 1.

Please mark my answers as the Brainliest if my explanations were helpful :)

how many liters of water must be added to 50 liters of a 25% acid solution in order to produce a 30% acid solution?

Answers

Using equations we know that approximately 8 liters of water must be added in order to produce a 30% acid solution.

What are equations?Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.

So, we know that:

Liters of water: x

25% of solution: 0.25 × 50

30% of solution: 0.30 (50 + x)

Now, form equations and calculate as follows:

0.25 × 50 = 0.30 (50 + x)

12.5 = 15 + 0.30x

15 + 0.30x = 12.5

15 + 0.30x - 15 = 12.5 -15

0.30x = -2.5

.030x/.30 = -2.5/.30

x = - 8.33

Since we can't add water in negative, hence it will be +.

Rounding off: 8 liters


Therefore, using equations we know that approximately 8 liters of water must be added in order to produce a 30% acid solution.

Know more about equations here:

https://brainly.com/question/28937794

#SPJ4

it's all on the picture ​

it's all on the picture

Answers

Answer:

i believe its 24+12

Step-by-step explanation:

It is 24 + 12 because 4 x 6 is 24 and 4 x 3 is 12. Combine the two and you get the equation 24+12 as a final answer

dog water kid o earnings no pr literally free so free

Answers

Answer:

huh??? I'm confused lol

Answer:

what do u mean???

Step-by-step explanation:

Other Questions
help me pls): i dont get this one What is the name of the Queen that reigned in the Asaka Period? Which of the following are accurate description of the distribution below? Calculate the pressure at the bottom of a container in which mercury is filled upto the height of 25 CM taking density 13.6 into 10 power 3 kilogram per metre cube gravity is equals to 10 metre per square What happens with companies in the long run as the addition of capital becomes possible?a. Companies are able to boost productivity. b. Companies are able to minimize their total cost. c. Companies are able to expand their debt. USE THE DOT PLOT GRAPH TO FIGURE THIS OUT!!What is the most appropriate measure of center for the data set about 7th graders?A)meanB)medianC)rangeD)IQR A restaurant bill was $35. If you want to leave a 20% tip, how much would the total bill be? which word best describes the advantage of using an imc program over a single marketing communication element in order to deliver a message to the target audienc the process of photosynthesis and respiration can be thought of as a cycle because ? please help Sophia is renting a home from Roberto. There is no written lease, and the agreement is that Sophia will pay rent on the first of every month. Either party may terminate the agreement with 30 days' notice. Sophia has a Demonstrate on specific emerging technologies & tools which can assist in improving audit report quality in years to come. Using the common denominator, what is an equivalent fraction for ? Which expression is equivalent to (10x)3? StartFraction 10 Over x cubed EndFraction StartFraction 1000 Over x cubed EndFraction StartFraction 1 Over 1000 x cubed EndFraction StartFraction 1 Over 10 x cubed EndFraction. Bill and Nageen have each built an electric motor and they are testing them by having them lift boxes. Bill's motor lifts a box 0.39 metres in 2 seconds. Nageen's motor lifts the same box 0.35 metres in 2 seconds. Whose motor has applied more power to the box? these discs have a capacity of 50 gigabytes on one side. What is the quotient of these fractions in lowest terms 3/10 2 4 ___ *? Which of the following is not a characteristic of both experiments andobservational studies?A. The researcher selects a sample of the population to study.B. Data are collected about a population.C. The data collected might be studied for patterns.D. It can be used to identify cause-and-effect relationships. Trina has a credit card that uses the adjusted balance method. For the first 10days of one of her 30-day billing cycles, her balance was $780. She thenmade a purchase for $170, so her balance jumped to $950, and it remainedthat amount for the next 10 days. Trina then made a payment of $210, so herbalance for the last 10 days of the billing cycle was $740. If her credit card'sAPR is 17%, which of these expressions could be used to calculate theamount Trina was charged in interest for the billing cycle?OA. (30)($780)365B.O C.D.0.173650.173650.173653030(10 $780+10 $950 +10 $210)3010$780+10$950+10 $7403030) ($570) The function D ( p ) D(p) gives the number of items that will be demanded when the price is p. The production cost, C ( x ) C(x) is the cost of producing x items. To determine the cost of production when the price is $5, you would: A. Solve C(D(p)) = 7 for p B. Evaluate D(C(7)) C. Evaluate C(D(7)) D. Solve D(C(x)) = 7 for x your professor is giving a lecture but uses technical jargon throughout the entire lecture confusing the class so no one knows what is going on. this is an example of ______ noise.