Factor 125q^6 − r^6s^3.
Answer:
(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)
Step-by-step explanation:
Factor the following:
125 q^6 - r^6 s^3
Hint: | Express 125 q^6 - r^6 s^3 as a difference of cubes.
125 q^6 - r^6 s^3 = (5 q^2)^3 - (r^2 s)^3:
(5 q^2)^3 - (r^2 s)^3
Hint: | Factor the difference of two cubes.
Factor the difference of two cubes. (5 q^2)^3 - (r^2 s)^3 = (5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2):
(5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Distribute exponents over products in (5 q^2)^2.
Multiply each exponent in 5 q^2 by 2:
(5 q^2 - r^2 s) (5^2 q^(2×2) + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Multiply 2 and 2 together.
2×2 = 4:
(5 q^2 - r^2 s) (5^2 q^4 + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Evaluate 5^2.
5^2 = 25:
(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + (r^2 s)^2)
Hint: | Distribute exponents over products in (r^2 s)^2.
Multiply each exponent in r^2 s by 2:
(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^(2×2) s^2)
Hint: | Multiply 2 and 2 together.
2×2 = 4:
Answer: (5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)
Plssssa HELP PROBLEM 1 :
Answer:
2,1 . 4,4 . 5,2
Step-by-step explanation:
Answer:
a' (2,1)
b'(4,4)
c'(5,2)
(x,y)→(x+1,y+4)
Step-by-step explanation:
So the <a'b'c' is <abc translated 1 unit to the right and 4 units up. Whenever it says to move to the right or the left it has to do with the x axis. When you move to the left its subtraction and when you move to the right you addition.
When ever is say to move up or down it has to do with the y-axis. when you move up its addition and when you move down its subtraction. Sooo since the question said to move it to the right and up theyre both going to be addition. Thats why in the translation theyre both addition sign.
Im really bad at explaining things but hope this helps:)
8³ times 8⁷ i need help asap
Answer: 8¹⁰
Explanation: Since these two powers have the same base of 8, you can
multiply them together by simply adding their exponents to get 8¹⁰.
A common mistake in this problem would be to
multiply the bases together and give an answer of 64¹⁰.
It's important to understand however that the 8's can't be
multiplied together because they are not coefficients, they are bases.
When applying your exponent rules, your base will never change.
HI HELP ME PLEASEEE!’
We're given
(0, 144)
(1, 48)
(2, 16)
(3, 16/3)
[tex]f(x) = a*b^x\\144 = a*b^0\\144 = a\\[/tex]
now that we know a, we can find b
[tex]f(x) = 144*b^x\\48 = 144*b\\b = \frac{48}{144}\\b = \frac{1}{3}[/tex]
[tex]f(x) = 144*(\frac{1}{3})^x[/tex]
Cindy deposited $350 into a savings account. As long as the account balance remains at or above $200, she does not have to pay a service fee for the account. For how long can she withdraw $30 a month without having to pay service fees? A) 5 months B) 6 months C) 7 months D) 8 months E) 9 months
Answer:
5 months
Step-by-step explanation:
Cindy deposited $350 into a savings account
The acct balance remains above $200
We are required to find the number of months that it will take to $30 a month
Let y represent the number of months
y × 30 < 350-200
30y < 150
Divide both sides by the coefficient of y which is 30
30y/30 < 150/30
y < 5
Hence the number of months required is 5 months
Determine which postulate or theorem can be used to prove that
AABC= ADCB.
A. SSS
B. ASA
C. SAS
D. AAS
Answer:
[tex]\triangle ABC \cong \triangle DCB[/tex] by AAS
Step-by-step explanation:
According to the following two triangles, [tex]\triangle ABC[/tex] and [tex]\triangle DCB[/tex] are congruent by Angle-Angle-Side (AAS), because there are two angles shown and share a side, which is in the middle between triangles.
Please hurry it is urgent . Make sure to do 5 and 6
Answer:
5) 36
6) 113
Step-by-step explanation:
5)
As a reminder, complementary angles add up to 90; therefore, we can set up an equation:
(5x+4)+(3x+6)=90
8x+10=90
8x=80
x=10
Now that we know x, we can plug x as 10 into the original expression for angle A:
3(10)+6
=30+6
=36
6)
As a reminder, supplementary angles add up to 180; therefore, we can set up an equation:
(5x+8)+(3x+4)=180
8x+12=180
8x=168
x=21
Now that we know x, we can plug x as 21 into the original expression for angle D:
5(21)+8
=105+8
=113
What is the slope of the line that passes through the points (0,0) and (6,0)?
Slope =

Answer:
0
Step-by-step explanation:
it has a zero slope
0,0
6,0
0-0=0
6-0=6
0/6 is 0
HURRY PLEASE!! I’ll mark you as brainliest
Which graph shape would represent the connected
points in Celeste's function table?
A. A straight line that slopes up from left to right
B. A straight line that slips down from left to right
C. A symmetrical V shape that opens down
D. A symmetrical face shape that opens up
Answer:
I believe the answer would be A
Step-by-step explanation:
There is no possible slope being involved so B, C, or D couldn't be the answer.
Answer:
A. A straight line that slopes from left to right.
Step-by-step explanation:
y = mx + b
Find the slope of the table
Answer:
The slope should be -5/8
Step-by-step explanation:
The equation used to find the slope using a table is:
[tex]\frac{y2-y1}{x2-x1}[/tex]
To get the values, take two points from the table. For example:
(8, -5) and (16, -10)
Write and classify them as (x1, y1) and (x2, y2). Knowing that these values equal the numbers, put the numbers in the equation above, and you should find the slope.
Jayden recently learned that the atmosphere is made of gases. Which is NOT a way in whichgases are helpful to life on Earth?A.It provides carbon monoxide to help plants growB.It protects us from the Sun's harmful raysC.It allows us to breatheD.It protects us from meteors
Answer:
A. It provides carbon monoxide to help plants grow.
Step-by-step explanation:
The only incorrect option is that carbon monoxide is required by plant, but the correct statement would be carbon dioxide is required my plants, for its growth, which helps to perform the process of photosynthesis.
The rest of the statements are correct.
As, the atmosphere acts as a blanket, which protects the earth from the harmful rays of the sun.
And, atmosphere constitute of various gases, which enables the living organisms to breath.
And, the atmosphere protects from any meteors entering from space.
What is true about segment R S and T U, if Point T has coordinates four, negative five. and U has coordinates (9, 2)?
Answer:
d
Step-by-step explanation:
There are many cylinders with a volume of cubic inches. The height in inches of one of these cylinders is a function of its radius in inches where . What is the height of one of these cylinders if its radius is 2 inches? What is the height of one of these cylinders if its radius is 3 inches? What is the height of one of these cylinders if its radius is 6 inches?
Answer:
1. If its radius is 2 inches, the height is 36 inches.
2. If its radius is 2 inches, the height is 16 inches.
3. If its radius is 2 inches, the height is 4 inches.
Step-by-step explanation:
Here is the complete question:
There are many cylinders with a volume of 144[tex]\pi[/tex] cubic inches. The height [tex]h(r)[/tex] in inches of one of these cylinders is a function of its radius [tex]r[/tex] in inches where [tex]h(r) =\frac{144}{r^{2} }[/tex] .
1. What is the height of one of these cylinders if its radius is 2 inches?
2. What is the height of one of these cylinders if its radius is 3 inches?
3. What is the height of one of these cylinders if its radius is 6 inches?
Step-by-step explanation:
1. To determine the height of one of the cylinders if its radius is 2 inches,
From the question,
Since height [tex]h(r)[/tex] of one of these cylinders is a function of its radius [tex]r[/tex], and
[tex]h(r) =\frac{144}{r^{2} }[/tex]
Then, when r = 2 inches
[tex]h(r) =\frac{144}{2^{2} }[/tex]
[tex]h(r) =\frac{144}{4 }[/tex]
[tex]h(r) = 36 inches[/tex]
Hence, the height is 36 inches
2. To determine the height of one of the cylinders if its radius is 3 inches,
Again,
[tex]h(r) =\frac{144}{r^{2} }[/tex]
Then, when r = 3 inches
[tex]h(r) =\frac{144}{3^{2} }[/tex]
[tex]h(r) =\frac{144}{9 }[/tex]
[tex]h(r) = 16 inches[/tex]
Hence, the height is 16 inches
3. To determine the height of one of the cylinders if its radius is 6 inches,
Again,
[tex]h(r) =\frac{144}{r^{2} }[/tex]
Then, when r = 6 inches
[tex]h(r) =\frac{144}{6^{2} }[/tex]
[tex]h(r) =\frac{144}{36 }[/tex]
[tex]h(r) = 4 inches[/tex]
Hence, the height is 4 inches.
which of the following is the numerical coefficient of x2y2
Step-by-step explanation:
1) Option II (1)
2) Option III (-5)
3) IV (None of these)
4) III (-4)
Answer:
1. The numerical coefficient of x^2y^2 is 1
2. -5
3. Monomial
4. -4(I know its x squared)
Step-by-step explanation:
1. We know if we multiply any number or variable with 1 it remains same.
here there is no number before (x^2)(y^2) so we assume it as 1.
Hence the answer is 1.
2. numerical coefficient is a constant multiplier of the variables in a term. In the term -5x2y, the numerical coefficient is -5. In the expression ax2 + bx + c, the numerical coefficient of the x2 term is "a" and the numerical coefficient of the x term is "b". "c" is properly referred to as the constant term.
3. in monomial there is only one term and pqr is only one term. binomial requires two terms like abc, pqr. and trinomial requires three terms like abc, pqr, mno.
4. -1^2 - 5 = -1 - 5 = -4 I know in rules of subtracting integer it equals to -4
To subtract integers, change the sign on the integer that is to be subtracted.
If both signs are positive, the answer will be positive.
If both signs are negative, the answer will be negative.
If the signs are different subtract the smaller absolute value from the larger absolute value.
13t+6=12t +21
What value of/ makes the equation true?
Answer:
t=15
Step-by-step explanation:
Two pounds of raw materials are needed to produce one product. The desired ending balance of raw materials is 10% of the of the next month's production needs. (Refer to your answer in Activity Sheet 05). The beginning inventory of raw materials is 4,000 pounds and raw material cost per unit is P 0.50/per pound.
Answer:
Purchases= production + desired ending inventory - beginning inventory
Step-by-step explanation:
Giving the following information:
Two pounds of raw materials are needed to produce one product.
The desired ending balance of raw materials is 10% of the next month's production needs.
The beginning inventory of raw materials is 4,000 pounds.
The raw material cost per unit is $0.50 per pound.
To calculate the direct material purchase required for a given month, we need the production for each month. I will provide the formula and a small example to guide an answer.
To calculate the purchase required, we need to use the following formula:
Purchases= production + desired ending inventory - beginning inventory
For example:
Production:
January= 5,000 units
February= 4,500 units
Direct material purchases January:
Production= 5,000*2= 10,000
Desired ending inventory= (4,500*2)*0.1= 900
Beginning inventory= (4,000)
Total purchase in pounds= 6,900
Total direct material cost= 6,900*0.5= $3,450
4r – 4s+ 4 = - 4
4r + s - 2t=5
- 3r - 3s - 41= -16
Help please
Answer:
r=-2.00000
s=2.00000
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answer: Reflect across the Y and and move it 7 down
Step-by-step explanation: Reflecting across the Y will turn the (X,Y) into (-X,Y) then you just count how many places the image is away from the preimage.
Help!! Show all work
Answer:
I used a math calculator by a math calculator service
Step-by-step explanation:
Forensic specialists can estimate the height of a deceased person from the lengths of the person's bones. These lengths are substituted into mathematical inequalities. For instance, an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur is |h − (2.47f + 54.10)| ≤ 3.72. Use this inequality to estimate the possible range of heights, rounded to the nearest 0.1 centimeter, for an adult female whose femur measures 32.25 centimeters.
Answer:
[tex]130.2845\leq h\leq 137.7245[/tex]
Step-by-step explanation:
Given an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur by the equation
[tex]|h - (2.47f + 54.10)| \leq 3.72[/tex]
If an adult female measures her femur as 32.25 centimeters, we can determine the possible range of her height by plugging f = 32.25cm into the modelled equation as shown:
[tex]|h - (2.47(32.25) + 54.10)| \leq 3.72\\|h - (79.9045 + 54.10)| \leq 3.72\\|h - (134.0045)| \leq 3.72\\[/tex]
If the modulus function is positive then:
[tex]h - 134.0045 \leq 3.72\\h \leq 3.71+134.0045\\h\leq 137.7245[/tex]
If the modulus function is negative then:
[tex]-(h - 134.0045) \leq 3.72\\-h+134.0045 \leq 3.72\\-h\leq 3.72-134.0045\\-h\leq -130.2845\\[/tex]
multiply through by -1
[tex]-(-h)\geq -(-130.2845)\\h\geq 130.2845\\130.2845\leq h[/tex]
combining the resulting inequalities, the estimate of the possible range of heights will be [tex]130.2845\leq h\leq 137.7245[/tex]
An)
is a value that does not change
Answer:
An) is a value that does not change? yes
You know: 13 + 7 = 20. Therefore: 13 + 7 + 2 = 20 + 2. Which Property of Equality was illustrated?
A. Subtraction Property of Equality
B. Multiplication Property of Equality
C. Division Property of Equality
D. Addition Property of Equality
Answer:
d
Step-by-step explanation:
Which expression shows how to convert 60 hours to days? StartFraction 60 hours Over 1 EndFraction times StartFraction 1 hour Over 24 days EndFraction StartFraction 60 hours Over 1 EndFraction times StartFraction 1 day Over 24 hours EndFraction StartFraction 60 hours Over 1 EndFraction times StartFraction 24 hours Over 1 day EndFraction StartFraction 60 hours Over 1 EndFraction times StartFraction 24 days Over 1 hour EndFraction
come one people 5 points
Answer:
60/24
Step-by-step explanation:
Answer:
StartFraction 60 hours Over 1 EndFraction times StartFraction 24 days Over 1 hour EndFraction
Step-by-step explanation:
I'm sorry if this is wrong
Can someone send me the answer to the question in the photo? (with solutions)
Answer:
This is so easy question .
I can do.
Y is 5 less than the product of 4 and x
Answer: y=4x-5
Y=4x-5
A total of $68.75 was spent on pizza and sodas at the party. Let n be the number of pizzas purchased. Set up an equation involving n that models the scenario. Solve it and state both the number of pizzas and the number of sodas that were bought.
Answer:
n + s = $68.75
Step-by-step explanation:
Amount spent on pizza and soda = $68.75
Number of pizza = n
The soda = s
Then the total amount soe t can be modeled thus :
(number of pizzas + number of soda) = total amount spent
n + s = $68.75
If the price of each slice of pizza and unit of soda was given, we could have been able to calculate the amount spent on each of soda and pizza.
Please answer correctly for brainliest
Answer:
x ≥ 15
Step-by-step explanation:
5x + 3 ≥ 48
Group like terms
5x ≥ 48 – 3
5x ≥ 45
divide both sides by 5
5x/5 ≥ 45/5
x ≥ 15
Tatianna withdrew $20 from her bank account 3 times.how much did her account change? write your answer as an integer.
Answer:
$216
Step by step
Explanation:
First we subtract $ 20 from $ 84 giving us a total of $ 64 and when we add that to $ 152 we get $ 216
.
Answer:
-60
Step-by-step explanation:
what is $500,000,000 founded off to the nearest tenth
Answer:
is this a real question???
Step-by-step explanation:
The value of the first term of a G.P if its sum of three numbers is 7 and their
product is 8.* find the gp.
Sum of three terms in a GP = 7
Product of the numbers = 8
Find:G.P
Solution:Let the three numbers be a/r , a , ar where a is the first term and r is the common ratio.
So,
⟹ a/r + a + ar = 7 -- equation (1)
And,
⟹ (a/r) * a * ar = 8
⟹ a³ = 8
⟹ a = ³√8
⟹ a = 2
Substitute the value a in equation (1).
⟹ 2/r + 2 + 2r = 7
⟹ (2 + 2r + 2r²)/r = 7
⟹ 2 + 2r + 2r² = 7r
⟹ 2r² + 2r - 7r + 2 = 0
⟹ 2r² - 5r + 2 = 0
⟹ 2r² - 4r - r + 2 = 0
⟹ 2r(r - 2) - 1 (r - 2) = 0
⟹ (2r - 1)(r - 2) = 0
★ 2r - 1 = 0
⟹ 2r = 1
⟹ r = 1/2
★ r - 2 = 0
⟹ r = 2
If r = 1/2 ;
a/r = 2/(1/2) = 2 * 2 = 4
a = 2
ar = 2 * 1/2 = 1
If r = 2 ;
a/r = 2/2 = 1
a = 2
ar = 2 * 2 = 4
∴ Required GP is 4 , 2 , 1 or 1 , 2 , 4.
I hope it will help you.
Regards.
Step-by-step explanation:
Assume that the 4 terms are a/r, a , ar, ar2.
Product of first 3 terms = a3 =8
=> a=2
Sum of last 3 terms :
a(1 + r + r2) = 14
=> r2 + r - 6 = 0
Solving the above equation r= -3 or 2
So the terms are
-2/3, 2, -6, 18
Or
1, 2, 4, 8