Answer:
[tex](\frac{32}{243})^{-\frac{4}{5}}=39.0625[/tex]
Step-by-step explanation:
Given
[tex](\frac{32}{243})^{-\frac{4}{5}}[/tex]
Required
Solve
[tex](\frac{32}{243})^{-\frac{4}{5}}[/tex]
Express 32 as 2^5 and 243 as 3^5
[tex](\frac{2^5}{3^5})^{-\frac{4}{5}}[/tex]
The exponent can be expressed as 1\5 * -4
So we have:
[tex](\frac{2^5}{3^5})^{\frac{1}{5} * -4}[/tex]
Apply law of indices:
[tex](\frac{2^{5*1/5}}{5^{5*1/5}})^{-4}[/tex]
[tex](\frac{2}{5})^{-4}[/tex]
In indices:
[tex](\frac{a}{b})^{-c} = (\frac{b}{a})^{c}[/tex]
So, the expression becomes
[tex](\frac{5}{2})^{4}[/tex]
[tex](\frac{5^{4}}{2^{4}})[/tex]
[tex]\frac{625}{16}[/tex]
[tex]39.0625[/tex]
Hence:
[tex](\frac{32}{243})^{-\frac{4}{5}}=39.0625[/tex]
fully explain:
x(x+2)+1(x+2)
How does it become:
(x+1)(x+2)
????
Help! brainliest for best :)
➨ Let (x+2) = a ➩ [tex]xa+1a[/tex]
Then we factor a-term out of the expression ➩ Common Factor ➩ [tex]a(x+1)[/tex]
Then convert from a back to x+2
Thus, our answer would be ➩ [tex](x+2)(x+1)[/tex]
Need help on this one please and thank you
Answer:
64x64x64=262,144
Step-by-step explanation: mark as brainest plsssssssssssssss
Suppose you have 20 coins that total $4.00. Some coins are nickels and some are quarters. Which of the following pairs of equations would you use to find out how many of each coin you have?
Answer:
The answer is below,
Step-by-step explanation:
n+q=205n+25q=400
I hope this helps! :)
These points are linear. Find the Slope.
Answer:
the slope is 1
Step-by-step explanation:
if your x goes up by one as your y goes up by one, the slope will always be one.
Help me find the radius please
Answer:
The radius is 2.46686837338 or simplified: 2.5.
Step-by-step explanation:
A = 60 so it would be √60/3.14 =2.46686837338
I hope this helps and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Which shows the use of the associative and commutative properties to make simplifying 3.2 + 20 – 3+ 4.8 + 19 easier?
Answer:
B
Step-by-step explanation:
(3.2+4.8)+[20+19+(-4)]
8. +. 47. -4
=43
what is 5 divided by 5
Answer:
1
Step-by-step explanation:
You have 5 jelly beans and 4 imaginary friends
You have to split the jellybeans between yourself and your pretend friends.
Each of you gets 1 jellybean
(Except you get all the jellybeans because your friends don't exist)
Hope this helps :)
The heights of dogs, in inches, in a city are normally distributed with a population standard deviation of 7 inches and an unknown population mean. If a random sample of 20 dogs is taken and results in a sample mean of 21 inches, find a 95% confidence interval for the population mean. z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Round the final answer to two decimal places.
Answer:
The 95% confidence interval is [tex] 17.932 < \mu < 20 + 22.068[/tex]
Step-by-step explanation:
From the question we are told that
The population standard deviation is [tex]\sigma =7 \ inches[/tex]
The sample size is n = 20
The sample mean is [tex]\= x = 20[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{7 }{\sqrt{20} }[/tex]
=> [tex]E = 2.068[/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex] 20 - 2.068 < \mu < 20 + 2.068[/tex]
=> [tex] 17.932 < \mu < 20 + 22.068[/tex]
what is 67 sec and 76 minuts equal to
Answer:
1 hour and 17 minutes and 7 sec
Step-by-step explanation:
.
Nolan is a songwriter who collects royalties on his songs whenever they are played in
a commercial or a movie. Nolan will earn $50 every time one of his songs is played in
a commercial and he will earn $100 every time one of his songs is played in a movie.
How much would Nolan earn if his songs were played in 10 commercials and 5
movies? How much would Nolan earn if his songs were played in x commercials and
y movies?
Answer:
500$+500$=1000$
Step-by-step explanation:
for songs=50×10=500$
for movie=5×100=500$
total=500$+500$=1000$
50x+100y
hope it helps:)
Suppose you deposit $2,500 in a savings account that pays you 5% interest per year.
a. How many years will it take for you to double your money?
b. How many years will it take for your account to reach $8,000?
Answer:A=4 Years B=6 years
Step-by-step explanation:
The mean running time of a certain variety of nickel-cadmium rechargeable flashlight battery is known to be normally distributed with a mean of 8.5. A change in production method for this battery has been proposed, and a simple random sample of 64 batteries produced by the new method has mean running time of 8.72 hours. Assume the population is normally distributed with a standard deviation of 0.55 hour as known and remains unchanged, test a claim that the new production method improving the battery mean running time using 0.05 significance level.
Answer:
answer is a
Step-by-step explanation:
Peter and Judy together earn $5060 per month. Their mortgage payment is $1265
pr month. What percentage of their household income goes toward paying the
mortgage?
Answer:
25 percent
Step-by-step explanation:
24 is what percent of 12?
need help? anyone know this?
Answer:
200
Step-by-step explanation:
i need help with 4th grade math please.thank you so much.
Answer:
1. 42 Legs altogether
2. 7 Cats
3. There is many answers, one of them is their could be 15 people, their is many possible outcomes and that is one of them. :)
Step-by-step explanation:
Hope this helped!!
Answer:
1. 42 legs
2. 7 cats
Step-by-step explanation:
1. 3 x 8 = 24
2 x 4 = 8
5 x 2 = 10
add those and you get 42.
2.
28
4
backpacks originally cost $24 but if 40% back to school sale is going on determine the sale price of the backpack.
I need help right now
Really Important!!!!!!!
Answer: The price is now 14.40
Step-by-step explanation: The difference is 9.60
Drag the missing word into place
My parents put
panels on our roof to harvest the
sun's energy
solar
geothermal
chemical
Answer:
Solar
Step-by-step explanation:
It would be Solar because the energy from the sun is called solar energy. Also, solar panels pick up the sun's energy, and harvests it.
A certain radioactive isotope has a half-life of 50 years. A scientist determines that there are 200 grams of the radioactive material present today. How
Much of the isotope was present 200 years ago?
im guessing 800 50X4 = 200 and 200X4 = 800
i never learned this but i hope its correct.
6a-2z
Please help me
Answer:
2(3a-z)
cannot be further simplified
Step-by-step explanation:
!!! time sensitive please answer !!!
consider the sequence below. 3, 1, 1/3, 1/9
select the explicit function which defines the sequence
A. f(n) = 1/3 • 2^(n-1)
B. f(n) = 2 • (1/3)^(n-1)
C. f(n) = 3 • (1/3)^(n-1)
D. f(n) = 1/3 • 3^(n-1)
A ps4 uses uses 8.8 watts when on stand by mode. If electricty in your area costs 0.10$ kwh, how much would this cost?
Answer0.88:
Step-by-step explanation: because for every watt 10 cents or .10 is being used so since there is 8.8 watts it would be a total of 0.88 in your area
Bo big cookies for two hours and 30 minutes he finished baking at 8:30 PM when did bo start baking
Answer:
6:00 pm
Step-by-step explanation:
Which graph is the most appropriate to describe the height of a candle burning at a constant rate?
Answer:
A
explanation:
When something has a constant rate of change, one quantity changes in relation to the other by a constant factor. One concrete example of this is the relation of distance rate and time
Answer:
c is the correct answer i think not sure
What equation is parallel to
y= - 1\4x + 5 and passes through (2,-3)
QUICK
Given:
The equation of parallel line is [tex]y=-\dfrac{1}{4}x+5[/tex].
Required line passes through (2,-3).
To find:
The equation of line.
Solution:
We have,
[tex]y=-\dfrac{1}{4}x+5[/tex]
On comparing this equation with [tex]y=mx+b[/tex], where m is slope, we get
[tex]m=-\dfrac{1}{4}[/tex]
Slope of two parallel lines are always same. So, slope of required line is [tex]m=-\dfrac{1}{4}[/tex].
The required line passes through the point (2,-3) having slope [tex]m=-\dfrac{1}{4}[/tex], so the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-3)=-\dfrac{1}{4}(x-2)[/tex]
[tex]y+3=-\dfrac{1}{4}(x)-\dfrac{1}{4}(-2)[/tex]
[tex]y+3=-\dfrac{1}{4}(x)+\dfrac{1}{2}[/tex]
Subtracting 3 from both sides, we get
[tex]y=-\dfrac{1}{4}(x)+\dfrac{1}{2}-3[/tex]
[tex]y=-\dfrac{1}{4}(x)+\dfrac{1-6}{2}[/tex]
[tex]y=-\dfrac{1}{4}(x)-\dfrac{5}{2}[/tex]
Therefore, the equation of required line is [tex]y=-\dfrac{1}{4}(x)-\dfrac{5}{2}[/tex].
Dan was at the beach for five days and found 28 seashells. He plans to give all of his seashells equally to his four friends. How many seashells will each friend get?
Sam is 27 years old. His age is 6 years greater than 3 time's brandon's age. Which methond can be used to determine Brandon's age?
I NEED HELP
Answer:
Brandon is 7 years old. You just substitute. It's an age word problem.
Step-by-step explanation: Substitute it. 7 times 3 (times Brandon's age) is 21 then add the 6 (years greater).
Answer:
Brandon is 7 years old. You just substitute. It's an age word problem.
Step-by-step explanation: Substitute it. 7 times 3 (times Brandon's age) is 21 then add the 6 (years greater).
Step-by-step explanation:
n old building has been demolished, and there are tons of debris to haul away. Each pickup load can hold a ton of debris. As many full loads as possible are hauled away. How much of a full pickup load is in the last load of debris?
Pick an answer!
1/6
8/27
2/3
7/9
Answer:
The question is incomplete...
Step-by-step explanation:
In 1992, Jason bought a gallon of gas for $1.15. Yesterday, he bought a gallon of gas for $2.12. What is the percentage increase of the price of a gallon of gas from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.
A.
84.3%
B.
45.8%
C.
54.2%
D.
15.7%
The graphs below have the same shape. What is the equation of the red
graph?
Answer:
C. F(x) = x^2 + 4
Step-by-step explanation:
Took the test
what is the range of f (x)=3 ^ x?
Answer:
it is 0 so that is x
Step-by-step explanation: