Choose the missing exponent to create a polynomial: 3x^4+4x^2-9x^-?+2
A)2
B)3
C)-9
D)7
E)4

Answers

Answer 1
any given polynomial must have all positive exponents over the placeholder
we see we are given 9x^-?
so (-) times what=positive?
the answer is negative
so we must pick a negative exponent

so the answer is C -9
Answer 2

For a Polynominal 3x^4+4x^2-9x^-?+2 the missing part is mathematically given as

3x^4+4x^2-9x^-(-9)+2

-9, Option C is correct

What is a Polynomial?

Polynomials are summations of elements of the format of kxn, having k as any digit and n is +ve integer

Generally, the expression for the Polynominal  is mathematically given as

3x^4+4x^2-9x^-?+2

In conclusion, the Polynominal must have all positive exponents, hence the value must be negative to give a positive exponent

Hence, -9 is correct

Read more about Polynomial

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Related Questions

A kite with a string 50 meters long makes an angle of elevation of 58o with the ground, assuming the string is straight, how high is the kite? Round your answer to the nearest tenth of a foot.

Answers

An angle of elevation of 58 degrees with the ground means that the angle started at the x-axis and terminates on the first quadrant region through a counter clockwise direction. Imagining a triangle, the string of the kite becomes the hypotenuse, the angle 58 degrees is the angle between the hypotenuse and the ground, and the height of the kite is the side opposite to the angle.

Therefore, we can calculate for the height of the kite using the sin function:

sin θ = opposite side / hypotenuse

sin 58 = opposite side / 50 m

opposite side = 50 m * sin 58

opposite side = 42.4 m

Therefore the kite is about 42.4 m above the ground.

If at least one independent variable is between-groups and at least one is within-groups, the design is referred to as:

Answers

A variable is an object that you are trying to measure. It has two types; independent and dependent variable. An independent variable is a variable that is not affected by other variables. A dependent variable on the other hand is a variable that depends on the other variables. Suppose you want to know the quality of sleep of the students in their academic performance. The quality of sleep is the independent variable and the academic performance is the dependent variable. There are also controlled variables in an experiment. A controlled experiment is an experimental setup designed to test the hypotheses. It has one or more conditions (independent variables) and measures (dependent variables). It is necessary to change more than one variable, but all of the experimental conditions will be controlled so that only the variables being examined change and the amount or way of change is measured.

on a particular day, the Dow Jones had a rate of change of 2.8%. Which of the following statements must also be true?
-The average of the 30 stocks in the Dow Jones increased.
-The NASDAQ decreased.
-The S&P 500 increased.
-Every stock in the Dow Jones increased.

Answers

The answer to the question is, "The average of the 30 stocks in the Dow Jones increased." The Dow Jones is an Industrial Average that tracks the daily performance of 30 large and popular company stocks. If the Dow Jones had a 2.8% change in value, that means the overall global average of those 30 companies increased by 2.8%.

Answer

THE AVERAGE OF THE 30 STOCKS IN THE DOW JONES INCREASED

Step-by-step explanation:

The top of a cliff overlooking the ocean is 250 feet above sea level. The sea floor at the foot of the cliff is 40 feet below sea level. A rock falls off the cliff and drops toe the sea floor. What number represents the change in elevation of the rock.

Answers

Final answer:

The change in elevation of the rock is 290 feet.

Explanation:

The change in elevation of the rock can be calculated by finding the difference in height between the top of the cliff and the sea floor.

Given that the top of the cliff is 250 feet above sea level and the sea floor is 40 feet below sea level, we can calculate the change in elevation by subtracting the elevation of the sea floor from the elevation of the top of the cliff.

The change in elevation is therefore 250 feet - (-40 feet), which simplifies to 250 feet + 40 feet = 290 feet. So, the number that represents the change in elevation of the rock is 290 feet.

Boating across a river, the current moves you downstream. Instead of going directly across the river, the boat moves at a 10 degree angle. If the river is 420 feet across, how far downstream will you end up?

Answers

To solve this problem, we use the tan function. The distance across the river is the adjacent side, the distance drownstream is the opposite side while the direction of the boat is the hypotenuse.

tan θ = opposite side / adjacent side

tan 10 = opposite side / 420 ft

opposite side = 74.06 ft

Therefore the boat will move about 74 ft downstream.

Solve for x: 5 over quantity x squared minus 4 plus 2 over x equals 2 over quantity x minus 2

Answers

5/(x^2-4)+2/x=2/(x-2)  if we factor the leading denominator, it is a "difference of squares" of the form (a^2-b^2) which always factors to (a-b)(a+b) so we have:

5/((x-2)(x+2))+2/x=2/(x-2), to add/subtract fractions we need a common denominator, so in this case we need a common denominator of x(x-2)(x+2) so

5(x)+2(x+2)(x-2)=2(x)(x+2),  perform indicated operations...

5x+2(x^2-4)=2x(x+2)

5x+2x^2-8=2x^2+4x  subtract 2x from both sides

5x-8=4x  subtract 4x from both sides

x-8=0  add 8 to both sides

x=8

check...

5/(x^2-4)+2/x=2/(x-2) when x=8 so

5/(64-4)+2/8=2/(8-2)

5/60+1/4=2/6

5/60+15/60=20/60

20/60=20/60
[tex] \frac{5}{x^2-4}+ \frac{2}{x}= \frac{2}{x-2} \\ \\ \frac{5}{(x-2)(x+2)}+ \frac{2}{x}= \frac{2}{x-2} \\ \\ \boxed{x \neq 0; \ x \neq б 2;} \\ \\ 5(x)+2(x-2)(x+2)=2(x)(x+2) \\ 5x+2x^2-8=2x^2+4x \\ 5x+2x^2-2x^2-4x=8\\ x=8[/tex]

if the interest rate is 3% and a total of $4,370.91 will be paid to you at the end of 3 years, what is the present value of that sum? a. 3,900.00 b. 3,947.00 c. 3,977.40 d. 4,000.00

Answers

The formula is
A=p (1+r)^t
A future value 4370.91
P present value?
R interest rate 0.03
T 3years
We need to solve for p
P=A÷(1+r)^t
P=4,370.91÷(1+0.03)^(3)
P=4,000.00

Find the value of x in the figure below. Round to the nearest tenth.


6.7
20
4
15

Answers

see answer in attached picture

How would you write 0.00568 in scientific notation?

Answers

The answer would be 5.68*10^-3

Factor the GCF from 96x2 + 88x. Use the drop-down menus to complete the statements. The GCF of 96x2 and 88x is . Each term written as a product, where one factor is the GCF, is . The factored form of the expression is

Answers

1) Determine the GCF of the numbers 96 and 88

=> Decompose each number in their prime numbers:

=> 96 = (2^5)(3)

=> 88 = (2^3) (11)

=> GCF of 96 and 88 = 2^3 = 8

2) Determine the GCF of the letters, x^2 and x

=> x

3) Conclude the GCF of the terms is 8x

4) Now you can factor the expression by dividing each term by the GCF, 8x:

96 x^2 / (8x) = 12x

88x / (8x) = 11

So, the factored form is (8x) (12x + 11)


Answer:

1: The GCF of 96x2 and 88x is:    Answer: 8x

2: Each term written as a product, where one factor is the GCF, is:     Answer: 8x(12x)+8x(11)

3: The factored form of the expression is:      Answer: 8x(12x+11)

Step-by-step explanation:

You're explanation is the answers hope I helped !!!! Good luck!!!!!

The isometric dot paper shoes 2 vertices 1 edge of the cube structure . Complete the isometric drawing

Answers

They want you to use the dots to help yourself draw the picture of the cubes. This is not really a question anyone can help you answer as you just have to draw the picture. the dots are just to help make it easier than just drawing by hand.

Match the sets of points representing one-to-one functions with the sets of points representing their inverse functions.
Tiles
h = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}
g = {(1,3), (2,6), (3,9), (4,12), (5,15), (6,18)}
f = {(1,2), (2,3), (3,4), (4,5), (5,6), (6,7)}
i = {(1,1), (2,3), (3,5), (4,7), (5,9), (6,11)}
Pairs
Sets of Points Representing Inverse Functions Sets of Points Representing Functions
h-1 = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}
arrowBoth
i -1 = {(1,1), (3,2), (5,3), (7,4), (9,5), (11,6)}
arrowBoth
g-1 = {(3,1), (6,2), (9,3), (12,4), (15,5), (18,6)}
arrowBoth
f -1 = {(2,1), (3,2), (4,3), (5,4), (6,5), (7,6)}
arrowBoth
NextReset

Answers

The answer is already given in your question. The inverse of a function
f is f-1, g is g-1, h is h-1 and i is i-1.

To explain why the inverse of 
f = {(1,2), (2,3), (3,4), (4,5), (5,6), (6,7)}
is
f-1 = f -1 = {(2,1), (3,2), (4,3), (5,4), (6,5), (7,6)}
and that of the other functions to their corresponding inverses is because of the definition of the inverse of a function which is
f = (x, y)
f-1 = (y, x)

Simply, the x and y coordinates of a function are interchanged to get the inverse of the function.

Each pair has the inverse points corresponding to the points in the original set.

To match the sets of points representing one-to-one functions with the sets of points representing their inverse functions, we need to find the pairs where each point in one set corresponds to the inverse point in the other set.

Here are the matches:

1. Set of Points Representing Function: [tex]\( h = \{(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)\} \)[/tex]

  Set of Points Representing Inverse Function: [tex]\( h^{-1} = \{(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)\} \)[/tex]

2. Set of Points Representing Function: [tex]\( g = \{(1,3), (2,6), (3,9), (4,12), (5,15), (6,18)\} \)[/tex]

  Set of Points Representing Inverse Function: [tex]\( g^{-1} = \{(3,1), (6,2), (9,3), (12,4), (15,5), (18,6)\} \)[/tex]

3. Set of Points Representing Function: [tex]\( f = \{(1,2), (2,3), (3,4), (4,5), (5,6), (6,7)\} \)[/tex]

  Set of Points Representing Inverse Function: [tex]\( f^{-1} = \{(2,1), (3,2), (4,3), (5,4), (6,5), (7,6)\} \)[/tex]

4. Set of Points Representing Function: [tex]\( i = \{(1,1), (2,3), (3,5), (4,7), (5,9), (6,11)\} \)[/tex]

  Set of Points Representing Inverse Function: [tex]\( i^{-1} = \{(1,1), (3,2), (5,3), (7,4), (9,5), (11,6)\} \)[/tex]

Each pair has the inverse points corresponding to the points in the original set.

Select all that apply. Which of the following ratios are equivalent?
A. 3 to 4
B. 3/4
C. 6/7
D. 15/20

Answers

A B and D are all equivalent. A and B are just written differently and D can by simplified by divided the numerator and denominator by 5.

Answer:

A,B,D

Step-by-step explanation:

The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either from Rome, Italy or New York, New York:

           High   Low   Q1     Q3    IQR   Median    Mean        σ
Rome 18         1        3       7       4         6.5       6.4           4.3
NY      14        1       4.5    8.5      4        5.5        6.1            3.2

Which of the choices below best describes how to measure the center of this data?

- Both centers are best described with the mean.

-Both centers are best described with the median.

- The Rome data center is best described by the mean. The New York data center is best described by the median.

-The Rome data center is best described by the median. The New York data center is best described by the mean.

Answers

Final answer:

For Rome, both the mean and the median are almost identical, suggesting a well-balanced data set and either can be used to describe the center. For New York, the median might be a better measure if the data are skewed or contain outliers, but more information would be needed to make a definitive judgment.

Explanation:

When considering the best measure to describe the center of a data set, we should look at the presence of outliers and the distribution of the data. The mean is the numerical average and is sensitive to extreme values, while the median is the middle value that splits the data set in half and is less affected by outliers.

For Rome, the mean is 6.4 and the median is 6.5, which are very close to each other, indicating that the data is likely symmetric without extreme outliers. Thus, in Rome's case, either the mean or the median could serve as a good measure of center. On the other hand, New York's mean is 6.1 and the median is 5.5, suggesting slightly skewed data or the presence of outliers. However, without more data points or visual representation, it's difficult to determine which is more representative solely based on these summary statistics.

Considering the provided values and common statistical practice, the centers can potentially be described as follows:

The Rome data center can be best described by either the mean or the median as they are similar.

The New York data center might be best described by the median if outliers or skewness are present.

The fraction 10/19 is in lowest terms

Answers

Answer:

True

Step-by-step explanation:

A game is biased such that the choices A-J have the following probabilities of winning: A 5% B 10% C 15% D 5% E 5% F 25% G 10% H 10% I 10% J 5% If you chose the letters D and H for 20 turns, how many times are you most likely to win? 1 2 3 4 5

Answers

Since we have chosen 2 letters, then the total probability of winning the game is the sum of the probabilities of each letter. Therefore:

Total probability of winning = Probability of D + Probability of H

Total probability of winning = 5% + 10%

Total probability of winning = 15%

Since we are playing the game for 20 turns, therefore out of those 20 games, we will win 15% of the time. So:   

15% = 0.15

Winning times = 0.15 * 20

Winning times = 3

 

Therefore we have a chance or probability to win at least 3 games out of 20 turns.

Answer:

C: 3

Step-by-step explanation:

Are theses right ? Or are some wrong please let me know wrong and right ones

Answers

I can't find any mistakes (wolframmed them). Make sure you do use parenthesis (you missed one in 10). Without the parenthesis, officially they would be incorrect.

HELP PLEASE!!! (I will give brainliest to the first one to answer)
Your friend lives exactly 3 miles south of your house. That means the distance between your houses is negative three (-3) miles. Answer yes or no and explain your answer.

Answers

I think It would be no because theres not reason for the 3 miles to your friends house to be negative

The statement that "the distance between your houses is negative three (-3) miles" is correct.

What is a cartesian coordinate?

A Cartesian coordinate system on a plane is a coordinate system in which each point is uniquely specified by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicularly oriented lines measured in the same unit of length.

If we assume that your house is the origin of a graph, and each unit square on the graph is equal to 1 square mile. Therefore, if your friend's house is exactly south of your house then it will be on the y-axis that too in the negative direction.

Therefore, the statement that "the distance between your houses is negative three (-3) miles" is correct.

Learn more about Cartesian Coordinate here:

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The howler monkeys at a zoo are fed a diet that contains 3.35 kcal/gram. Write a function g(x) that gives the mass of food in grams that a howler monkey must eat to obtain x kilocalories of energy.

Answers

The amount of energy that the given amount of food contains is the product of the given content per grams and the amount of food in grams. 

For this item, we assume that g(x) is the total energy that the howler monkey needs to obtain and x is the amount of food in grams. From the presented concept in the first paragraph,

amount of energy = (3.35 kcal/gram) x (amount of food)
g(x) = 3.35x

Which is equivalent to 5√1,215^x?

A)243x
B)1,215^1/5x
C)1,215^1/5x
D)243^1/x

Answers

Answer:

Option C is correct

The expression [tex](1215)^{\frac{1}{5}x}[/tex]  is equivalent to [tex]\sqrt[5]{1215^x}[/tex]

Step-by-step explanation:

Simplify the radical Expression: [tex]\sqrt[5]{1215^x}[/tex]

A radical expression can be written by using the exponents and also using the following procedure:

[tex]\sqrt[n]{x} = x^{\frac{1}{n}}[/tex]

when x be non-negative then n can be any index

when x is negative, then n can be odd.

The following radical expression can be written as:

[tex]\sqrt[5]{1215^x} = (1215^x)^{\frac{1}{5}}[/tex] = [tex](1215)^{\frac{1}{5}x}[/tex]

Therefore, the expression [tex](1215)^{\frac{1}{5}x}[/tex]  is equivalent to [tex]\sqrt[5]{1215^x}[/tex]





Given the sequence: {2, 8, 32, 128, 512…}, S12 = ???

Answers

In mathematics, the arrangement of numbers that have a definite pattern is a progression. There are three types of progression: arithmetic, harmonic and geometric. Arithmetic sequence have a common difference, harmonic sequence is the reciprocal of arithmetic sequence, and geometric sequence have a common ratio. For this problem, it is a geometric sequence. 

8/2 = 4
32/8 = 4
128/32 = 4
512/128 = 4

The common ratio is 4. The equation for geometric sequence for the sum of terms is:

[tex]S_{n} = \frac{ A_{1}( r^{n}-1) }{r-1} [/tex]

where n is the last term of the progression
A1 is the first term of the progression
r is the common ratio 

Substituting the values,

[tex]S_{12} = \frac{2( 4^{12}-1) }{4-1} [/tex]
S12 = 11,184,810

What is the slope of the line determined by any two solutions to the equation $\frac{2}{x}+\frac{3}{y} = 0$? Express your answer as a common fraction.

Answers

Final answer:

To determine the slope, solve for y in terms of x, resulting in the equation y = (-3/2)x. Hence, the slope of the line described by the equation 2/x + 3/y = 0 is -3/2.

Explanation:

To find the slope of the line determined by any two solutions to the equation 2/x + 3/y = 0, let's begin by solving for y in terms of x.

First, we isolate the term 3/y:

2/x = -3/y

Then we cross-multiply and get:

2y = -3x

Now we solve for y:

y = (-3/2)x

This is now in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. In this case, there is no y-intercept since the line passes through the origin.

The slope m is -3/2. So any two solutions to the original equation will yield a line with a slope of -3/2.


Find the area of the figure. PLEASE HELP

Answers

find area of larger figure

then subtract area of cut out

 larger figure 40 *36 = 1440 square yards

cut out = 20 *10 = 200 square yards

1440-200 = 1240 square yards total

A = 40*36 - 20*10 = 1440 - 200 = 1240 yd²

what is the value of m in the equation 4m + 2(m + 1) = 9m + 5

Answers

m=-1 

4m+2(m+1)=9m +5
4m+2m+2=9m+5
6m+2=9m+5
6m+2-6m= 9m+5-6m
2-5=3m+5-5
-3/3=3m/3
m=-1

Find the volume of this oblique pyramid.

Answers

Cavalieri's Rule tells us that it doesn't matter if the shape is oblique or not, the volume is still found using the regular volume formula.  For a pyramid, this formula is V = 1/3 Bh, with B being the area of the base which is a rectangle.  The area is 10*12 which is 120, and the height is given as 8. So the volume is V = 1/3 * 120 * 8, which is 320 units cubed.

nutrient level required to maintain energy and growth what is it called

Answers

It is called Dietary Energy :)

(03.05 LC)

What is the volume of a cone (in cubic inches) with a radius of 3 inches and a height of 6 inches?

Use 3.14 for π. Round your answer to the nearest hundredth.
18.84 cubic inches
28.26 cubic inches
56.52 cubic inches
169.56 cubic inches

Answers

V = 1/3 * a_base * height, a_base = pi * r^2

V = 1/3* pi * 3^2*6 = 56.54 cubic inch,

so ... Third one!!

The volume of the cone is 56.52 cubic inches.

What is a cone?

Having a flat base and a smooth tapering tip or vertex, a cone is a three-dimensional geometric object.

Given, the radius of the cone is 3 inches and the height of the cone is 6 inches.

The volume of a cone is given by,

V=(1/3)πr²h

V = (1/3) × 3.14 × 3² ×6

V = 56.52 cubic inches

Hence, the volume of the cone is 56.52 cubic inches.

Learn more about cones:

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%) points. Brainliest.

The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:

C = 5/9 (F − 32)

Which of the following formulas correctly solves for F?

F = 9/5C + 32
F = 9/5C − 32
F = 9C + 32/5
F = 9C − 32/5




Hugh has to earn at least $400 to meet his fundraising goal. He has only 100 books that he plans to sell at $8 each. Which inequality shows the number of books, x, Hugh can sell to meet his goal?
20 ≤ x ≤ 400
40 ≤ x ≤ 100
50 ≤ x ≤ 400
50 ≤ x ≤ 100


Mike observed that 75% of the students of a school liked skating. If 35 students of the school did not like skating, the number of students who liked skating was ______. (only put numeric values, no other symbols)

Answers

Hey!

Let's take the first question, we have to turn the equation [tex]C = 5/9 (F − 32)[/tex] into a formula that correctly solves for F.  First, let's switch the sides of the equation. 
[tex]\frac{5}{9}\left(F-32\right)=C[/tex]
Divide both sides by 5/9. We are doing this to undo the multiplication.
[tex]\frac{\frac{5}{9}\left(F-32\right)}{\frac{5}{9}}=\frac{C}{\frac{5}{9}}[/tex]
[tex]F-32=\frac{9C}{5}[/tex]
Add 32 to both sides.
[tex]F-32+32=\frac{9C}{5}+32[/tex]
[tex]F=\frac{9C}{5}+32[/tex]
We have successfully gotten the formula to get F.

For the second question, we could use a graph for this. Since we want to reach the 400, then the inequality should reach that too. We should be careful though, since the profit will depend on the number of books you will sell, then the profit should be on the y-axis, and the number of books should be on the x-axis. The answer would be 50 ≤ x ≤ 100

For the third question, we can also infer that the 35 students that did not like skating should represent the 25% of the students. So, we could set up a proportion.

[tex] \frac{35}{25} = \frac{x}{75} [/tex]
We would then multiply, and then divide.
[tex](35*75)/25=105[/tex]
Now we know that the number of students who liked skating was 105 students.

-TetraFish

9c + 32/5=f this is the answer

i think

,[PICTURE INCLUDED] Kite CDEF is rotated 180° about the origin and translated 3 units up to form kite WXYZ. If CD is x units long, what is the length of WX?

Answers

he 2 kites are identical

CD is the same as WX

 so it would be x +0

 answer is A

a man divided $9000 among his wife , son and daughter. the wife received twice as much as the daughter and the son received $1000 more than the daughter how much did each receive
with working please
thank you

Answers

Wife. Son. Daughter
2D. D+1000. D
9000= 2d + D+1000 + D
9000= 4d + 1000
-1000
8000=4d
D=2000

So the daughter got 2000$
The son got 3000$ because it's 1000 more than the daughter which is 2000
And the mom got 4000 which is twice the daughters.

You can check by adding them together. 2000+3000+4000 is 9000.
Other Questions
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