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)
Which of the following numbers is written
in CORRECT scientific notation?
3.41 · 104
34.1 : 105
3.41 + 104
0.341 · 106
HELPP PLZZ
Heather worked on 4 command cards in 140 minutes. At the same rate, how many cards can she complete in 315 minutes?
Answer:
9 command Cards
Step-by-step explanation:
Please answerrr!!! (don’t answer if you don’t know it) will give brainliest
Answer:
∠H = 122°
Step-by-step explanation:
This is a 5-sided polygon. That means the sum of all the angles must equal 540°.
∠H + 107° + 97° + 130° + 84° = 540°
∠H = 540° - (107° + 97° + 130° + 84°)
∠H = 540° - 418°
∠H = 122°
1)which set of points is a function?
2)which order pears cause this relations not to be a function. why?
Answer:
First Question is B
Second Question is C
Step-by-step explanation:
You can’t have the same x values going to different y values
HELPPPPPPPPPPPPPPPPP
Answer:
D
Step-by-step explanation:
:) hard to explain, and takes a LOT of typing I don't really wanna do
PLEASEEE HELP TOMORROW IS THE LAST DAY TO THEN STUFF IN AND ITS REPORT CARDS
This is ezz homework pay attention in class
I think this is correct
Humans shed about three million particles of skin every five hours. Humans can shed about fifty thousand particles of skin every five minutes. The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is __
Answer: The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .
Step-by-step explanation:
Given: Humans shed about 3million particles of skin every 5 hours.
Since, 1 million = 1,000,000
Then 3 million = 3 x 1 million
[tex]= 3 \times1,000,000[/tex]
[tex]= 3,000,000[/tex]
[tex]=3\times10^6[/tex]
On comparing to [tex]a\times 10^{b}[/tex] , we get a = 3 and b=6
So, the approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .
Answer:
6
Step-by-step explanation:
First, write the approximate number of particles of skin a human can shed in five hours in scientific notation. This number is three million which can be written in the form a × 10b, where a is 3 and b is 6.
1/2a + 1/3a =5 please help :)
Answer:
a=6
Step-by-step explanation:
1/2a+1/3a=5
5/6a=5
a=6
hope this helps
brainliest?
Answer:
a=6
Step-by-step explanation:
1/2a + 1/3a =5
Multiply each side by 6 to clear the fractions
6(1/2a + 1/3a) =5*6
3a +2a = 30
Combine like terms
5a = 30
Divide by 5
5a/5 = 30/5
a = 6
(5x10₃) x (9x10₇)
answered in standard form
Answer:
5x9x10^10
Step-by-step explanation:
your question is incomplete
A diver started at 4 feet above ground. After diving he ended at 58 feet below the surface
of the water. What was the change in elevation of the diver? Solve and write an equation,
then model with a number line.
Answer:
62
Step-by-step explanation:
If the diver started 4 four feet above the ground and ended 58 feet below the surface, the diver went down, so we can solve this by taking the total distance traveled like so:
[tex]|4+58|[/tex] = 62
What is the 6th term of the geometric progression
12.6.3, ... ?
Answer:
a₆ = [tex]\frac{3}{8}[/tex]
Step-by-step explanation:
The n th term of a geometric progression is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 12 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex] , thus
a₆ = 12[tex](\frac{1}{2}) ^{5}[/tex] = 12 × [tex]\frac{1}{32}[/tex] = [tex]\frac{12}{32}[/tex] = [tex]\frac{3}{8}[/tex]
Total bill of four pairs of shoes came to $69.25 what is the average price for each pair of shoes
Answer:
Each pair is $17.31 average
Step-by-step explanation:
All you do is divide $69.25 by 4
Answer:17 or 18....17.31 that's what it gave me but if you rounded to the nearest number that could be your answer
Step-by-step explanation:
a Clydesdale drinks about 120 gallons of water every 4 days. At this rate how many gallons of water does a Clydesdale drink in 28 days?
Answer:
A Clydesdale drinks 840 gallons of water in 28 days.
Step-by-step explanation:
120 gallons/4 days is 30 gallons every day. 30 gallons multiplied by 28 days is 840.
A designer determined the annual profit in dollars from selling t- shirts using p (n) = 10n - 50, where n the number t-shirts sold. What is the annual profit if the designer sells 100 t- shirts
F. $8,050
G. 10,000
H. 1,000
J. $950
Answer:
J. $950
Step-by-step explanation:
p(n)= 10n-50
p(n)=10(100)-50
P(n)=1000-50
950
PLEASE HELP MEE ASAP!
Answer:
Step-by-step explanation:
1/6
Four friends all use $10 off coupons to buy themselves concert tickets.
They spend a total of $216. What is the price of one concert ticket without
the coupon? create an equation and solve
Answer:
$64
Step-by-step explanation:
Since there were 4 of them and the coupons were $10 off, they saved a total of $40
To find how much they would have spent without the coupons, add 40 to 216:
216 + 40
= 256
To find the normal cost of one ticket, divide this by 4:
256/4
= 64
So, the price of one concert ticket without the coupon is $64
Calculate the median of the following set of numbers.
19, 22, 75, 37, 37, 27, 32, 15, 10
Answer:
37
Step-by-step explanation:
10,15,19,22,27,32,37,37,75
Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always turned on at the same time. Both lights blink as they are turned on. One lights blinks after every 8 seconds. The other light blinks every 22 seconds. After how many seconds will they blink together again?
Answer:
After 88 seconds, they will blink together.
Step-by-step explanation:
Time after which the first light blinks = 8 seconds
Time after which the second light blinks = 22 seconds
Initially, both the lights blink together.
To find:
The time at which they will blink together again.
Solution:
Let us have a look at the time after which each light will blink.
First light will blink after:
8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......
Second light will blink after:
22 s, 44 s, 66 s, 88 s, 110 s, .....
It can be seen that common time is 88 second, at which the both will blink together.
So, the answer is 88 s.
This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.
Using the factorization method:
[tex]8=\underline{2}\times 2\times 2[/tex]
[tex]22=\underline{2}\times 11[/tex]
Common is 2.
Therefore the LCM will be:
[tex]2\times 2\times2\times 11 = \bold{88}[/tex]
So, the answer is 88 s.
help me out bro
7 (x-3)+3 (4-x)= -8
Answer:
x = 1/4
Step-by-step explanation:
remove the parenthesis
collec like terms
caculate
move constant to the right
calculate
divide both sides
It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 290 students from that college, whether or not a student was left-handed was recorded for each student. The college wants to know if the data provide enough evidence to show that students at this college have a different percentage of left-handers than the general American population? State the random variable, population parameter, and hypotheses. State the Type I and Type II errors in the context of this problem.
Step-by-step explanation:
The random variable (x) here would be a randomly selected student from the college that is left-handed.The population parameter would be 11% of America's total population. The total population as of 2019 is believed to be 328.2 million, and 11% of that figure is about 36.1 million (thirty-six million one hundred thousand).Hypotheses: Remember, the null hypothesis usually reflects the held view of the researcher, and since we are told the college wants to know if the data provide enough evidence to show that students at this college have a different percentage of left-handers than the general American population. It could read; There is a statistically significant difference in the percentage of left-handers in the college than the American population. While the alternate hypothesis could read; There is no statistically significant difference in the percentage of left-handers in the college than the American population.The Type I error implies rejecting the null hypothesis when it is actually true. That is: Rejecting that the % of all students from that college that are left-handed is 11 % when the % is really 11 %.The Type II error implies accepting the null hypothesis when it is actually false. That is: Failing to reject that the % of all students from that college that are left-handed is 11 % when the % is actually different.If 2KL=KL+MN, then KL=MN
Choose the definition, theorem, or postulate that justifies the statement.
A. Subtraction Property of Equality
B. Definition of Midpoint
C. Segment Addition Postulate
D. Symmetric Property (of= or≅)
E. Reflexive Property (of= or≅)
F. Transitive Property (of= or≅)
G. Definition of Congruence
H. Substitution Property
I. Addition Property of Equality
J. Multiplication Property of Equality
K. Division Property of Equality
Answer:
a. subtraction property of equality
Step-by-step explanation:
Leo reads 10 pages in 1/3 hours What is the unit rate for pages per hour
Answer:
30 pages per hour
Step-by-step explanation:
Leo can read 10 pages in 20 minutes.
60 minutes in a hour
20 x 3 = 60
10 x 3 = 30
Ian purchased cans of soda for a party he was having. For every 12 cans of soda she payed $4.98. What is the cost per can of soda?
The cost of each can of soda is $
i need this quik and now
$.40
Step-by-step explanation:
if you want the full one it's .415
1) If the mean is 15.5 and the standard deviation is 2.5, Label b, c, d, e, and f
Answer:
I accidentally clicked I can’t click out
Step-by-step explanation:
Sorry
Mike and Larry are friends who share the same birthday.They decided to have a birthday party together and their friends. Mike received 21 gifts while Larry received 12 gifts. What is the ratio of gifts for Mike to Larry
Answer:
21:12
Step-by-step explanation:
Answer:
7:4
Step-by-step explanation:
because u simplify 21:12 and u would get 7:4
ExplainHow to find the product 3/8 x 7/9
Answer:
7/8
Step-by-step explanation:
well first when you put them together like 3/8 and 7/9 you have to simplfy first. You have to cross simplify 3 and 3. Since they are the saem both turn into one. Now you mulitpy. 7 times 1 is 7 and 8 times one is 8. 7/8
Answer:
[tex]\frac{7}{24}[/tex]
Step-by-step explanation:
To factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).
The number of times that each prime divides the original integer becomes its exponent in the final result. In our example, Prime number [tex]2^3=8[/tex]
[tex]\frac{3*7}{2^3*3^2}[/tex]
We need to perform a multiplication. The following rule is applied:
[tex]\frac{A}{B}*\frac{C}{D}=\frac{AC}{BD}[/tex]
In our example, the factors in the new numerator are 3,7
The factors in the new denominator are [tex]2^3, 3^2[/tex]
Tina is building a birdhouse. The plans have a scale of
1 cm : 2.5 inches. A rectangular wall of her birdhouse has a drawing length of 2 cm and a width of 4 cm. What will the actual area of the wall be?
Answer: Actual area of wall = 50 sq. inches
Step-by-step explanation:
Given: Scale : 1 cm : 2.5 inches
A rectangular wall of her birdhouse has a drawing length of 2 cm and a width of 4 cm. What will the actual area of the wall be?
So, Actual length = 2 x 2.5 inches = 5 inches
Actual width = 4 x 2.5 inches = 10 inches
Actual area = Actual length x Actual width
= 5 x 10 = 50 sq. inches
Hence, Actual area of wall = 50 sq. inches
Which pair of lines are perpendicular
Answer:
D
Step-by-step explanation:
Round 7.3065 to 2 decimal places
Answer:
im pretty sure its 7.31
Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000 and is getting annual raises of $1,500. How many years, y, will it take for Jaylon and Anita to make the same amount of money?
Answer:
7 years
Step-by-step explanation:
Let W = number of years they both have to work to make the same amount :
Amount made by Jaylon = 57000
Annual raise = 2500
Titak made after W years :
57000 + 2500w - - - (1)
Amount made by Anita = 64000
Annual raise = 1500
Total made after w years :
64000 + 1500w - - - (2)
Equate (1) and (2)
57000 + 2500w = 64000 + 1500w
2500w - 1500w = 64000 - 57000
1000w = 7000
w = 7000/ 1000
w = 7
Hemce, they'll both earn the same amount after 7 years