Answers
(-3x^4-9x^3-4x^2-4)-(5x^3-7x^2+6)
= -3x^4-9x^3-4x^2-4-(5x^3-7x^2+6)
= -3x^4-9x^3-4x^2-4-5x^3+7x^2-6
=-3x^4-14x^3+3x^2-10
hence, option D is the answer.
HOPE IT HELPED :D ☺☺
Related Questions
Given the sequence: {2, 8, 32, 128, 512…}, S12 = ???
Answers
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
(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* 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.
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c. When the center of Earth is 2 × 1011 meters from the center of Mars, the force of gravity between the two planets is about 64.32 × 1014 newtons. The mass of Earth is about 6 × 1024 kilograms, and the mass of Mars is about 6.4 × 1023 kilograms. Using these values, estimate the gravitational constant.
Answers
To estimate the gravitational constant (G), we apply Newton's law of universal gravitation, using the provided values of the force of gravity between Earth and Mars, the masses of both planets and their distance apart. The calculation yields an estimated G value of approximately 6.67 × 10⁻¹¹ N·m²/kg², which aligns with the known gravitational constant.
Explanation:To estimate the gravitational constant (G), we can use Newton's law of universal gravitation, which states that the force of gravity (F) between two masses (m₁ and m₂) is directly proportional to the product of their masses and inversely proportional to the square of the distance (r) between their centers:
F = G * (m₁*m₂) / r²
Given that:
The force of gravity (F) between Earth and Mars is approximately 64.32 × 10¹⁴ newtons.The mass of Earth (m₁) is about 6 × 10²⁴ kilograms.The mass of Mars (m₂) is about 6.4 × 10²³ kilograms.The distance between the centers of Earth and Mars (r) is 2 × 10¹¹ meters.We can rearrange the formula to solve for G:
G = F * r² / (m₁ * m₂)
Plugging in the values:
G = (64.32 × 10¹⁴ N) * (2 × 1011 m)² / (6 × 10²⁴ kg * 6.4 × 10²³ kg)
G ≈ 6.67 × 10⁻¹¹ N·m²/kg²
This value is approximately equal to the known gravitational constant, solidifying our understanding of gravitational forces and confirming the validity of our calculations.
The isometric dot paper shoes 2 vertices 1 edge of the cube structure . Complete the isometric drawing
Answers
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
=> 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!!!!!
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
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.
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.
a man divided $9000 among his wife , son and daughter. the wife received twice as much as the daughter and the son received $1000 more than the daughter how much did each receive
with working please
thank you
Answers
2D. D+1000. D
9000= 2d + D+1000 + D
9000= 4d + 1000
-1000
8000=4d
D=2000
So the daughter got 2000$
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.
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.
How would you write 0.00568 in scientific notation?
Answers
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
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
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
Answer:
A,B,D
Step-by-step explanation:
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
Answer
THE AVERAGE OF THE 30 STOCKS IN THE DOW JONES INCREASED
Step-by-step explanation:
The fraction 10/19 is in lowest terms
Answers
Answer:
True
Step-by-step explanation:
,[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
what is the value of m in the equation 4m + 2(m + 1) = 9m + 5
Answers
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
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.
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
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 volume of this oblique pyramid.
Answers
Are theses right ? Or are some wrong please let me know wrong and right ones
Answers
Find the value of x in the figure below. Round to the nearest tenth.
6.7
20
4
15
Answers
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
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.
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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:
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
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.
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.
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.
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
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)(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
%) 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
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
nutrient level required to maintain energy and growth what is it called