Answers
Related Questions
(x+8)(x+2) = 10x+x^2
Answers
Answer:
.
Step-by-step explanation:
x^2 + 2x + 8x + 16 = 10x + x^2 (FOIL)
x^2 + 10x + 16 = 10x + x^2 (add like terms)
16 = 0 (10x and x^2 cancel out on both sides)
(x+8)(x+2) is NOT equal to 10x+x^2
3. A certain sum of money at simple interest amounts to $560 in 3 years and to
$600 in 5 years. Find the principal and the rate of interest. [Ans. $ 500; 4%]
Answers
Answer: principal value = $500 and rate of interest = 4%.
Step-by-step explanation:
Let P = Principal value, r= rate of interest, t= time.
Formula for simple interest:
Interest = P x r x t
Final amount = P+ interest
= P+Prt
= P(1+rt)
Simple interest amounts to $560 in 3 years.
⇒ 560= P(1+3r)
[tex]\Rightarrow\ P=\dfrac{560}{1+3r}[/tex] (i)
Simple interest amounts to $600 in 5 years.
⇒ 600= P(1+5r)
[tex]\Rightarrow\ P=\dfrac{600}{1+5r}[/tex] (ii)
From (i) and (ii) , we get
[tex]\dfrac{560}{1+3r}=\dfrac{600}{1+5r}\\\\\Rightarrow\ 560(1+5r)=600(1+3)\\\\\Rightarrow\ 560+2800r=600+1800r\\\\\Rightarrow\ 2800r-1800r=600-560\\\\\Rightarrow\ 1000r=40\\\\\Rightarrow\ r=\dfrac{40}{1000}\\\\\Rightarrow\ r= 0.04= 4\%[/tex]
Put r= 0.04 in (ii), we get
[tex]P=\dfrac{600}{1+5(0.04)}\\\\=\dfrac{600}{1+0.2}\\\\=\dfrac{600}{1.2}\\\\=500[/tex]
Hence, principal value = $500 and rate of interest = 4%.
Defects in computer hard-drives will usually render the entire computer worthless. For a particular model, the percent defective in the past has been 1%. If a sample size of 400 is taken, what would the 95.5% lower control chart limit be?
Answers
Answer:
0.00005
Step-by-step explanation:
We have the average fraction defective as p = 1%
= 0.01
N = 100
Then 95.5% deviation = 2σ
From there we have,
σ = √p*(1-p)/n
When we input these values, into the formula, we will have
σ = √0.01(1-0.01)/100
= √0.01(0.99)/100
= √0.000099
= 0.00995
The LCL = p - 2σ
= 0.01 - 0.00995
= 0.00005
lower control chart limit be is 0.00005
The 95.5% lower control chart limit be is 0.0005.
Given,
The average fraction percent in the past defective as p = 1% = 0.01
Sample size N = 400
Then ,
According to the question ,
95.5% deviation = 2x
We have,
x = [tex]\frac{\sqrt{p (1-p)} }{n}[/tex]
We put these values, into the formula,
x = [tex]\frac{\sqrt{0.01 ( 1 - 0.01) } }{400}[/tex]
= [tex]= \frac{\sqrt{(0.01) (0.99)} }{400}[/tex]
= [tex]\frac{0.99}{400}[/tex]
= 0.0000245
The LCL = p - 2x
= 0.01 - 0.0000245
= 0.00005
The Lower control chart limit be is 0.00005
For the more information about Standard deviation click the link given below.
https://brainly.com/question/23907081
WILL GIVE BRAINLEST PLZZZ HELPP MEEEE
Answers
Answer: its C
Step-by-step explanation:
Hunter earns $16 per hour tutoring students after school. If Hunter tutored for 12 hours this month, how much money did he earn this month?
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Answer:
Step-by-step 4explanation:
If system of linear equations has no solution,then
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Answer:A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.
Step-by-step explanation:
HURRY PLEASE DON'T HAVE MUCH TIME TO FINISH!
Another plan to secure the roller coaster involves using a cable and strut. Using the center of the half-circle as the origin, the concrete strut can be modeled by the equation and the mathematical model for the cable is . The cable and the strut will intersect.
6. Graph the cable and the strut on the model of the roller coaster using the graphing calculator. Take a screenshot of your graph and paste the image below, or sketch a graph by hand. (5 points)
7. Algebraically find the point where the cable and the strut intersect. Interpret your answer. (10 points)
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Answer:
Hello there this is number 6 the graph and number 7. I am also doing this assignment and I was wondering if you had a graph for number 8? If so I have a question posted on my account and I would greatly appreciate you adding the graph, but if not have a nice day
Step-by-step explanation:
7.
root 2x+8=x-8
2x+8=x^2-16x+64
-x^2+18x-56=0
x^2-18x+56=0
x(x-4)-14(x-4)=0
(X-4)(x-14)=0
x=4 ,x=14
x=14
Hope that this helps, Peace and love. And if you are feeling kind will you please mark me the brainliest?
Steve started with $250 and spent $25 per week. Which slope intercept form equation would match this situation ?
Answers
Answer: After 10 weeks he will run out of money. The ratio is 25:1
Step-by-step explanation:
If the empire state building stands at around 1,454 feet and something is born every 0.00000000000000000000005 second how long is the average toenail length for a standard bridge troll? (I'm asking for a friend of mine..)
Answers
Answer:
Length = 0
Step-by-step explanation:
The bridge troll is tearing his toe nails up climbing the Empire State Building.
Tickets at the basketball game are 2:50 each: complete table based on cost of basketball game tickets
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Answer:
0)2.50 2)5.00 4)10.00 6)15.00
Step-by-step explanation:
A movie theater has 287 crates of popcorn. Each crate holds 6 pounds of popcorn. There are 15 people who work at the theater. How many pounds of popcorn are there altogether?
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Work: 287x6=1,722
I need help again please
Answers
A variety of different religions
hope this helps
Which of the following does not state a principle related to why ground wires are an effective safety device? O A. Electronic devices are protected from power surges by having insulated wires. B. Electricity will travel more easily through metal than through insulators. C. When enough electricity builds up, it could pass through highly resistant materials to get to the Earth. D. Electricity always wants to travel "downhill" toward the Earth.
Answers
A; electronic devices are protected from power surges by having insulated wires.
The option that does not state a principle related to why ground wires are an effective safety device is:
A. Electronic devices are protected from power surges by having insulated wires.
Insulated wires protect electronic equipment against power surges, however, this has nothing to do with the usefulness of ground wires as a safety precaution.
The idea of earth wires is to provide a safe conduit for electrical currents to go into the Earth, avoiding harmful electrical potential from building up.
Thus, options B, C, and D all state principles that are directly related to the effectveness of ground wires as a safety device.
Hence, the correct answer is A.
Learn more about the insulated wires here:
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Cane buys candy in bulk and sells it at a 25% markup. If c represents the original cost of the candy, which expression represents the markup price?
Answers
Answer:
D
Step-by-step explanation:
For the function f(x)=-3(x-1) find f(0)
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f(0)=-3(-1)
f(0)=3
Best answer gets brainliest!!!
Choose 3 plz!
Answers
I believe that the answer B,D,and E
Answer:
A, D, and E (I think)
Step-by-step explanation:
I'm pretty sure those would be the right answers, sorry that this isn't much of an explanation lol
A gym membership costs $50 to join a club and then $15 per month. Which equation below represents the equation for the total cost of the gym membership and the number of months ?
Answers
Answer:
d. y = 15x + 50
Step-by-step explanation:
Look for the keywords here :
A gym membership costs $50 to join a club and then $15 per month. Which equation below represents the equation for the total cost of the gym membership and the number of months?
Start with $50, this is the entry free, along with the question being the "total cost of the gym membership." Therefore any equation that puts a negative in front of 50 is incorrect.
a) y = 15x - 50 is crossed out
Now look at $15 per month, this is the amount that is paid per time and can be increased through a variable. Therefore any equation that does not put 15x is incorrect.
c) y = 50x + 15 and b) y = 65mx is crossed out
Leaving us with d) y = 15x + 50
What is the measure of DA? 15 90 105 165
Answers
Answer:
D. 165
Step-by-step explanation:
if A+n=180
75+90+n=180
165+n=180
n=180-165
n=15
A+n=180
A+15=180
A=180-15
A=165 (D)
PLEASE HELP!!
• Which of these are equivalent to -11/4 ? Choose ALL that apply.
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The options equivalent to the given fraction are: -11 ÷ 4, -11 ÷(- 4), [tex]\frac{-11}{4}[/tex] , [tex]\frac{11}{-4}[/tex]
[tex]-\frac{11}{4}[/tex] is an improper fraction. An improper fraction is a fraction in which the numerator is larger than the denominator. [tex]\frac{-11}{4}[/tex] can also be written as -11 ÷ 4.
In order to determine the answers, take note of the following rules:
When a negative number is divided by a positive number, the result is a negative number. -8 ÷ 2 = -4When a positive number is divided by a negative number, the result is a negative number. 8 ÷ -2 = -4When a negative number is divided by a negative number, the result is a positive number. -8 ÷ -2 = 4Using the above rules, the equivalent options are: -11 ÷ 4, -11 ÷(- 4), [tex]\frac{-11}{4}[/tex] , [tex]\frac{11}{-4}[/tex]
A similar question was answered here: https://brainly.com/question/15382096?referrer=searchResults
The first, second, fourth, and fifth options among all are equivalent to [tex]\frac{-11}{4}[/tex].
These all are forms of division.
The division is an arithmetic operation that involves splitting a quantity or number into equal parts or groups. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to obtain the quotient.
The dividend is the total quantity or number being divided, while the divisor is the number by which the dividend is divided. The result of the division is called the quotient, which represents the number of times the divisor can be subtracted from the dividend to achieve equal parts.
Hence, the first, second, fourth, and fifth options are correct.
Learn more about division here:
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What is the circumstance of the circle
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Explanation:
Circumference = pi x d
C = 3.14 x 8
C = 25.12
Answer:
c=pie r squared is the equations and the answer is 50.27
Step-by-step explanation:
A Six packs of undershirt cost $13.98. This is $3.96 less the cost of buying six individual shirts if each undershirt cost the same amount how much does each undershirt cost when purchased individually?
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whats -4 times (-9)
please help
Answers
Being that both numbers are negative, they will cancel each other out, and become positive.
Find the value for x.
5x - 12
3x + 30
48
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The value of x will be;
⇒ x = 3.75
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 5x - 12 + 3x + 30 = 48
Now,
Solve the expression for x as;
The expression is,
⇒ 5x - 12 + 3x + 30 = 48
⇒ 8x - 12 + 30 = 48
⇒ 8x + 18 = 48
Subtract 18 both side as,
⇒ 8x - 18 = 48 - 18
⇒ 8x = 30
Divide by 8 as;
⇒ x = 30/8
⇒ x = 3.75
Thus, The value of x will be;
⇒ x = 3.75
Learn more about the mathematical expression visit:
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In December, the average number of daily shoppers at North Point Mall in 2007 was 1600. This number shrank to 1000 daily shoppers by December 2014. What is the exact percent decrease in the average number of daily shoppers? Show your work.
Answers
Answer:
you trying to cheat
Step-by-step explanation:
the answer is 62.5% percent.
van someone help me with this
Answers
Answer:
107
Step-by-step explanation:
Blake was listening to his favorite radio station. He noticed that 15 songs were played and 3 of them were by Justin Bieber in the hour he was listening.
13. What is the ratio of songs by Justin Bieber to the number of songs played?
14. Write this as a unit rate.
15. Suppose the station continues to play this ratio of songs. How many times will Blake hear songs by Justin Bieber in the next three hours?
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Answer:
15 is 9 because the ratio is 3:15 in 1 hour, so you multiply by 3(hours) and you get 9
Step-by-step explanation:
I apologise but I'm too rusty at the other questions to be able to answer them anywhere close to accurate D:
9514 1404 393
Answer:
13. 3/15 = 1/5
14. 1/5 (or 3 Bieber songs per hour)
15. 9
Step-by-step explanation:
13. The requested ratio is ...
(3 Bieber songs)/(15 total songs) = 3/15 = 1/5
__
14. 1/5 is the "unit rate" for the ratio in problem 13. Its units are "Bieber songs per song played."
(IMO, this "unit rate" is pointless. For the purpose of problem 15, the applicable "unit rate" is Bieber songs per hour. That is 3 songs per hour.)
__
15. At a rate of 3 Bieber songs per hour, in 3 hours one might expect ...
(3 songs/hour)(3 hours) = 9 songs . . . . by Bieber
whats 0.22 as a percentage
Answers
Answer:
22%
Step-by-step explanation:
convert the decimal to a percentage
Answer: 22%
Step-by-step explanation: Ok so we know there are 100 1s in the number 100. So if the decimal is .22 all you have to do is multiply that number times 100 using a calculator, or just by moving the decimal over two spaces to the right. This would give you the answer of 22% in this problem. Also, this trick works for all decimals when turning them into percents. Merry Christmas
00:00
Select all the expressions that are equivalent to 312.79.
A. 33. 34.49
B. (33) • (736
C. 73. (3-4)-3.76
D. (33 + 39) • (76 + 73)
E. 320. (73)3 • (34)-2
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Answer:
i think D
Step-by-step explanation:
Jada raised 60% of $20 goal. How much did she raise?
Answers
Answer:
$12
Step-by-step explanation:
setting up a proportion and putting 20 of 100 and 60 over x, we multiply 60 and 20 then divide one hundred from both sides leabing. We should have 100/x = 1200/100. Doing this gives us x = 12.
Answer:
Jada raised $8
Step-by-step explanation:
$20 with 60% discount, you will pay 20 - 12 = 8 dollars.
Alex mows lawns. He earns $15 per lawn. How much does he earn in 4 days if he mows 5 lawns per day?
Answers
Answer:
He would make 300 dollars.
Step-by-step explanation:
15 x 5 = 75
75 x 4 = 300.
Answer:
answer is 300
Step-by-step explanation:
Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..
Hopes this help.
