Round your answer to the nearest hundredth if necessary. Estimate the diameter of a circle with a circumference of 80 feet.
=
Divide.
O EXPONENTS AND POLYNOMIALS
Dividing a polynomial by a monomial: Multivariate
(12y'u²-32ysu+15y¹uº) ÷ (-4y²u³)
Simplify your answer as much as possible.
0
X
010
Ś
The simplified expression when a polynomial is divided by a monomial is \(y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).\)
What is factoring?A polynomial expression can be represented as a product of other, smaller polynomial expressions through the algebraic process of factoring. The process of factoring can be used to simplify expressions and solve problems. A polynomial equation's roots can be found by factoring, as can the common factors in an expression that can be eliminated. Factoring occasionally enables us to spot trends and connections between several expressions.
Depending on the kind of polynomial and the degree of the terms involved, there are several ways to factor. S
For the given expression \((12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)\) factor the common term.
\((12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)\\-4y^5u^2(3y^2 - 8u^4 - 3y^2u^4) / (-4y^2u^5)\)
Cancelling the -4:
\(= y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2)\)
Hence, the simplified expression is \(y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).\)
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Pls I need answer in questions
Answer:
Top Right: 26
Bottom Right: 16
Top Left: 36
Bottom Left: 20
Center: 26
Step-by-step explanation:
TR: 5 + 3 + 12 + 6 = 26
BR: 2 + 2 + 4 + 5 + 3 = 16
TL: 14 + 10 + 8 + 3 + 1 = 36
BL: 6 + 6 + 2 + 2 + 2 + 2 = 20
Center: 2 + 2 + 8 + 8 + 6 = 26
PLEASE HELP!!! Mates spent $15.00 on protein bars and sports drinks. each bar cost $3.00 and each sports drink cost $1.50. which equation represents the number of protein bars, p, and the number of sports drinks, s, Matea could have bought
Answer:
15=3s+1.5p
Step-by-step explanation:
can i please get brainliest?
Answer:
15=3s+1.5p
Step-by-step explanation:
15(total money spent)
3s s=amount of bars
1.5p p= amount of sports drinks
simplify 4 x 18/6 x 5/5
Answer:
12
Step-by-step explanation:
4.18/6 * 5 over 5
72/6 *5 over 5
72/6 * 5 divided by 5
12.5 divided by 5
12 times 5 over 5
60/5
60 divided by 5
The perimeter of the triangle below is 54 units. Find the value of y.
Answer:
y = 7
Step-by-step explanation:
3y + (y+1) + (4y-3) = 54
3y + y + 4y + 1 - 3 = 54
8y - 2 = 54
8y = 54 + 2
8y = 56
y = 56/8
y = 7
Check:
3*7 + (7+1) + ((4*7)-3) = 54
21 + 8 + 28-3 = 54
29 + 25 = 54
here is a gauge for the fuel tank of a car the fuel tank hols 52 litres of fuel when the tank is full the tank is 1/4 full of fuel
work out how many more litres of fuel are needed to fill the tank
Determine the values of x in the equation x2 = 64.
classify the following differential equation s given in both standard and differential form. Q5 only
The table shows the costs of playing several carnival games. You have $20 and play each game twice. How much money do you have left?
Ring Toss $1
Balloon Pop $2.00
Basketball $2.25
The population of a town increased from 3800 in 2007 to 6100 in 2010 find the absolute and relative (percent) increase.
The requried population increased by approximately 60.53%.
To find the absolute increase, we subtract the initial population from the final population:
Absolute increase = Final population - Initial population
Absolute increase = 6100 - 3800
Absolute increase = 2300
Therefore, the population increased by 2300 people.
To find the relative increase, we first calculate the percent change:
Percent change = (New value - Old value) / Old value x 100%
Percent change = (6100 - 3800) / 3800 x 100%
Percent change = 2300 / 3800 x 100%
Percent change = 60.53%
Therefore, the population increased by approximately 60.53%.
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If 57 is added to a number, it will be 4 times as large as it was originally. Find the number.
Answer:
19
Step-by-step explanation:
X will refer to the number.
X+57( the number added to the original.)=4x. (x time 4)
X+57=4x.
Subtract x from both sides to get the variable on one side.
(X+57)-x =(4x)-x
57=3x. You would then divide by 3 on both sides to again get integer isolated.
57/3=3/3x.
57/3=19. 3/3=1.
19=x.
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
7. N.CN.7 Determine the zeroes for the equation below. Select all that apply.
x² - 6x +13=0
A. 1
B. 5
C. 13
D. -3 + 2i
E. 3+2i
F. 3+4i
G. 6 + 4i
H. 3-21
I .6-41
Answer:
D. -3 + 2i and E. 3+2i are the zeroes for the equation.
Step-by-step explanation:
Please help with that answer someone please before 12:00an
Answer:
150 cause subtract 150 from 270 you get 150
Is f(x)=x^3-7 a one to one function
i’m not sure if this is right??
Answer:
I think its right
Step-by-step explanation:
thats what I got too
A bag of marbles has 12 green marbles, 5 red marbles, 8 blue marbles and 7 yellow marbles. What is the probability of randomly selecting a blue marble?
Probability = # of desired options / # of total options
Our desired option is blue and there are 9 blue marbles in the bag.
There are 32 total marbles (options) in the bag.
P(blue) = 9 / 32 = 0.28125 = 28.125%
Hope this helps!
If 11% of x is equal to 66, what is the value of x ?
Answer: The value of x is 6
Step-by-step explanation:
Given:
11x = 66
To Find:
The value of x.
Solution:
11x = 66
x = 66/11
11 multiplied by 6 gives 66 therefore,
x = 6/1
The value of x is 600.
Explanation:To find the value of x, we need to solve the equation: 11% of x = 66. To do this, we can set up the equation as: 0.11x = 66. We can solve for x by dividing both sides of the equation by 0.11: x = 66 / 0.11 = 600.
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For what values of theta do maximum r-values occur on the graph the polar equation r = 2 cos4 theta? Note that the maximum r-value occurs at a point that is the maximum distance from the pole
Answer:r=2 cos^4(theta)
Step-by-step explanation:To find the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta), we need to find where the derivative of r with respect to theta is equal to zero, since the maximum r-values occur at these points.
First, we can simplify the equation by using the identity cos(2theta) = 2cos^2(theta) - 1 and substituting cos^2(theta) = (1 + cos(2theta))/2. This gives:
r = 2 cos^4(theta) = 2(1/2 + 1/2 cos(2theta))^2 = 1 + cos(2theta) + cos^2(2theta)/2.
Next, we can take the derivative of r with respect to theta, using the chain rule:
dr/dtheta = -sin(2theta) - 2cos(2theta)sin(2theta).
Setting this equal to zero and factoring out sin(2theta), we get:
sin(2theta)(-1 - 2cos(2theta)) = 0.
This equation is satisfied when sin(2theta) = 0 or cos(2theta) = -1/2.
When sin(2theta) = 0, we have 2theta = k*pi for some integer k. Therefore, theta = k*pi/2.
When cos(2theta) = -1/2, we have 2theta = 2*pi/3 + 2*k*pi or 2theta = 4*pi/3 + 2*k*pi for some integer k. Therefore, theta = pi/3 + k*pi or theta = 2*pi/3 + k*pi.
These are the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta).
Every day, Cassie's orange juice stand uses 3/4 of a bag of oranges. How many days will6 3/4 bags of oranges last?
To answer this question, we need to use the unit rate. We need to divide the total number of bags of oranges by the amount that Cassie uses by day. Then, we have:
\(\frac{6\frac{3}{4}}{\frac{3}{4}}=\frac{6+\frac{3}{4}}{\frac{3}{4}}=\frac{\frac{24+3}{4}}{\frac{3}{4}}=\frac{27}{4}\cdot\frac{4}{3}=\frac{27}{3}=9\)Therefore, the bags of oranges will last 9 days.
A puzzle has 1080 pieces. How many pieces are 80% of the puzzle?
Answer:
864
Step-by-step explanation:
80/100 simplified is 4/5
so you do 4/5 of 1080
which is 1080 divided by 5 that is 216
and then 216 x 4 which is 864
A system of equations is shown below:
y = 3x − 7
y = 2x + 1
What is the solution to the system of equations?
(8, 17)
(−8, 17)
(−8, −17)
(8, −17)
Answer:
(8, 17)
Step-by-step explanation:
y= 3x -7 -----(1)
y= 2x +1 -----(2)
Substitute (1) into (2):
3x -7= 2x +1
Being x terms to one side, constant to the other:
3x -2x= 7 +1
x= 8
Substitute x= 8 into (2):
y= 2(8) +1
y= 16 +1
y= 17
∴ The solution is (8, 17).
5. A conical shaped pile of sand at the beach has a base circumference of 16.5 feet
and stands 10.4 feet high. The Department of Public Works is going to remove
75% of the sand. How much sand will be left in the pile after they remove 75% of
the sand?
Answer: 18.78 cubic feet
Step-by-step explanation:
The detailed analysis is attached below.
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.18. The probability that it will not rain and the flight will leave on time is 0.8. What is the probability that it is raining if the flight has been delayed? Round your answer to the nearest thousandth.
The probability that it is raining if the flight has been delayed is 0.07, or 7%.
How to calculate the probabilityWe can use the following formula to calculate the probability that it is raining if the flight has been delayed:
P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)
We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):
= 0.07 * 0.18
= 0.0126.
Substituting these values into the formula, we get:
P(Rain|Delayed) = 0.0126 / 0.18 = 0.07
Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.
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Help plz!
Three cubic feet of seawater weigh 192 pounds.
Make a chart that shows the weight of 6 ft3 of seawater, 10 ft3 of seawater, and 14 ft3 of seawater.
Answer:
Look at the screen shot
Step-by-step explanation:
Here is the formula
3/192=6/k
here is example
If two quantities change so that their ratio remains the same, the quantities are called directly proportional. Or, one can say that the quantities vary directly.
The ratio is called the constant of variation, and is usually recorded as k.
What is true about the graphs of y = x2 – 2 and y = x2 + 2?
a) One of the graphs is 4 units to the left of the other.
b) One of the graphs is positioned 4 units lower than the other.
c) One of the graphs is 4 units narrower than the other.
d) The graphs are in the same position.
Answer:
B
Step-by-step explanation:
because yea
Answer:
Step-by-step explanation: I just did it on imagine math.
Look at the graph shown below:
which equation best represents the line?
A: y=3x+3
B: y=1/2x-3
C: y= 1/2x+3
D: y=3x+ 1/2
Answer:
the answer is C
the y intercept is +3
if you do rise over run, the slope will be 1/2
At the local Theatre of the Arts, tickets cost $4 for children and $5 for adults. In the opening Saturday night of a play, the theater made $540. The second day was a matinee and the prices were lower for children at $3 and the same price as Saturday for adults. They made $440 at the matinee.
A) Write a system of equations in standard form that represents the prices at the Theatre on Saturday and the second day.
B) Rewrite the system of equations in slope-intercept form. What are the y-intercepts of both equations?
A. The system of equations in standard form is: 4x + 5y = 540 and 3x + 5y = 440.
B. The y-intercept of the equation representing the prices on Saturday night is 108, and the y-intercept of the equation representing the prices at the matinee on the second day is 88.
A) Let's define the variables:
Let x represent the number of children attending.
Let y represent the number of adults attending.
On Saturday night:
The equation for the revenue generated on Saturday night is:
4x + 5y = 540 (since children's tickets cost $4 and adults' tickets cost $5, and the total revenue is $540).
Matinee on the second day:
The equation for the revenue generated at the matinee is:
3x + 5y = 440 (since children's tickets cost $3 and adults' tickets still cost $5, and the total revenue is $440).
Therefore, the system of equations in standard form is:
4x + 5y = 540
3x + 5y = 440
B) Let's rewrite the system of equations in slope-intercept form:
On Saturday night:
4x + 5y = 540
Rearranging the equation, we get:
5y = -4x + 540
Dividing both sides by 5, we get:
y = (-4/5)x + 108
The y-intercept of this equation is 108.
Matinee on the second day:
3x + 5y = 440
Rearranging the equation, we get:
5y = -3x + 440
Dividing both sides by 5, we get:
y = (-3/5)x + 88
The y-intercept of this equation is 88.
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Help
w(n)=-2n-1. Find f(3)
Answer:
-7/3
Step-by-step explanation:
substitute 3
w(3)=-2(3)-1
3w=-6-1
3w=-7
divide by 3
w=-7/3
Find each missing measurement of the angle, and determine the name of the angle
Answer:
the first one is 101 degrees
the second one is 106 degrees
the third one is 106 degrees
Step-by-step explanation:
Answer:
1. x = 101, x is an opposite interior angle
2. x = 106, x is an opposite interior angle
3. x = 106, x is a same-side interior angle