The powers is 5 - 1/2³.
What is Exponents and Powers?Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.
The number of times a number has been multiplied by itself is referred to as an exponent.
Given:
(5 - [tex]2^{-3}[/tex])
As, we know that
[tex]a^{-m[/tex] = 1/ [tex]a^m[/tex]
Then, (5 - [tex]2^{-3}[/tex])
= 5 - 1/2³
= 5-1/8
= 40-1/8
= 39/8
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The Translation of attached question is
Make the following powers
In ADEF, the measure of ZF=90°, the measure of ZD=69°, and FD = 64 feet. Find
the length of DE to the nearest tenth of a foot.
9514 1404 393
Answer:
178.6 ft
Step-by-step explanation:
The definitions of the trig functions tell you ...
Cos = Adjacent/Hypotenuse
cos(69°) = FD/DE
DE = FD/cos(69°) ≈ (64 ft)/0.3584
DE ≈ 178.6 ft
Translate the phrase into an algebraic expression. The difference of c and 6
Answer:
c - 6
Step-by-step explanation:
differnce is subtraction
so subtract.
What is the answer for (a^2+12c)÷7b-1
7 1/2 divided by 3/4
Answer:
2 2/3
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
First convert to mixed fractions 7 1/2-> 15/2
Then multiply by the reciprocal---> 15/2 x 4/3
The answer is 60/6
Then simplify---> 10/1 or 10
Austin’s bus arrives at 7:55am if he starts his chores at 7:30 am will he be done in time to meet his bus explain your reasoning answer key
Answer:
it depends on his chores, how many he has, and how he does them
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
I had the same question his chores only last for 15 minutes so yes he would be done in time
Help! Will Give Brainliest!!!!
Answer:
The answer is C or B i dont really know
Step-by-step explanation:
Which is the function g(x) for a restricted domain?
O g(x) = 3x-4; 2-4
O g(x) = 3x + 4; x > 0
O g(x) = 3/x+4; x 24
O g(x) = 35-4;> 0
The answer choice which correctly describe s the function g (x) for a restricted domain as required to be determined in the task content is; g (x) = ³√(x + 4) , x ≥ -4.
Which function correctly represents the function g (x) for a restricted domain?As evident in the task content, the function which correctly represents the function g (x) for a restricted domain is to be identified.
By observation of the function;
g (x) = ³√(x + 4) , x ≥ -4.
As evident in the task content; the lowest value of g(x) is; 0.
By checking; when x = -4; the corresponding value of g (x) is;
g (-4) = ³√(-4 + 4)
g (-4) = 0.
On this note, the required function is; g (x) = ³√(x + 4) , x ≥ -4.
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A plane traveling 480 miles in 1 hour travels how far in 15 minutes
Answer:
120 Miles
Step-by-step explanation:
Use the Trig Ratios to find the Missing Side Length
Answer:
[tex] \tan(55) = \frac{x}{8} \\ x = \tan(55) \times 8[/tex]
Find the volume of the prism.
6 m
20 m
26 m
The volume of the prism is
m?
Step-by-step explanation:
To find the volume, you need to do length x width x height.
In this case, we are going to do 6 x 20 x 26.
You get 3,120 m^3.
Hope you found this helpful!
A company that produces white bread is concerned about the distribution of the amount of sodium in its bread. The company takes a simple random sample of 100 slices of bread and computes the sample mean to be 103 milligrams of sodium per slice. Construct a 99% confidence interval for the unknown mean sodium level assuming that the population standard deviation is 10 milligrams.
Answer:
The 99% confidence interval for the unknown mean sodium level is between 100.42 milligrams of sodium per slice and 105.58 milligrams of sodium per slice.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.58.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.58\frac{10}{\sqrt{10}} = 2.58[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 103 - 2.58 = 100.42 milligrams of sodium per slice.
The upper end of the interval is the sample mean added to M. So it is 103 + 2.58 = 105.58 milligrams of sodium per slice.
The 99% confidence interval for the unknown mean sodium level is between 100.42 milligrams of sodium per slice and 105.58 milligrams of sodium per slice.
For the function f(x) = 4x2 - 3x - 7, find f(-2).
O 15
O -17
O 3
O -7
Answer:
15
Step-by-step explanation:
please the answer is 15
28÷x=168
What is the value of "x"
Do think it is A, B, C, D?
Answer:
D
Step-by-step explanation:
the 80*10=800
8 in 183= 80
8 in 4879 = 800
8ftx4ftx5ft what is the diameter
Answer:
nothing
Step-by-step explanation:
5/6 x 2 2/5 solve using distributive property to find the problem
Answer:
2
Step-by-step explanation:
Answer:
5/6 x 2 2/5 = 2
Step-by-step explanation:
https://www.fractioncalc.com/
This calculator link will help you with fraction equations
:))
30 POINTS!! PLEASE HELP
Mai created a scale model of a shoe store her company plans to build. The ratio of the model's dimensions to the dimensions of the actual shoe store to
be built is 1:20. If the volume of the model was 35 ft, what is the volume of the actual shoe store that Mai's company plans to build?
Answer:
it's 700 so last one
Step-by-step explanation:
since it's 1 to 20 you multiply 35×20 and you get 700
A bacteria culture is started with 300 bacteria. After 4 hours, the population has grown to 500 bacteria. If the population grows exponentially. How long does it take for the culture to triple in size?
Answer:
12 hours
Step-by-step explanation:
the culture was first 300
the it grew to 500 in 4 hours
so that means it grew by 200 in 4 hours
and the triple it size is 900
you say;
if 200 =4 hours what about 600
=12 hours
What would be the first step you would take in solving the equation 3 - 2x = 4(x + 15) ?
Answer:
Distribute the 4
Step-by-step explanation:
You should always distribute first then you should add the 2x. Then combine like terms. Then subtract 15 then divide by six. Then you get the answer x = -2.
Emily and her twin sister Erica were each given $500 for their birthday. Emily deposits her money in an account that pays 4.75% interest compounded annually. Erica deposits her money in a 5% simple annual interest account. After 10 years how much more money will Emily have in her account?
A $22.41
B $45.26
C $250.00
D $295.26
Answer:
B $45.26
Step-by-step explanation:
After 10 years
Emily will have 500 * 1.045^10 = $795.26
Erica will have 500 + 10*0.05*500 = 500 * 1.5 = 750$
Emily will have $45.26 more.
g(r) = (r + 14)? – 49
1) What are the zeros of the function?
Write the smaller r first, and the larger T second.
Answer:
smaller r =-21
larger r =-7
The vertex of the parabola is at
(-14,-49)
Which of the following could be the areas of the three squares below?
Answer:
A. 12 ft², 16 ft², and 20 ft²
Step-by-step explanation:
There are 17 girls and 23 boys in P.E class.Of these students,10 girls and 14 boys will try out for basketball.What percentage of the stidents will try out for basketball?
Answer:
[tex]60%[/tex]%
Step-by-step explanation:
[tex]17+23=40[/tex][tex], 40[/tex] in total.
[tex]10+14=24[/tex], 24 students trying out.
24 of 40 as a percent[tex]=60[/tex]
Answer:
60%
Step-by-step explanation:
According to formula if finding percent, given number(10+14)divide by total number(17+23) multiply 100% which is 24/40*100= 60%
Given vector v=<-2,-1>, find 5v.
Answer:
5v=(-10;-5)
Step-by-step explanation:
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I need help with this
please answer asap! no scam links or scam comments or reported.
Answer:
(-10,0)
Step-by-step explanation:
y = 3/2 x + 15
To find the x intercept let y =0 and solve for x
0 = 3/2x +15
Subtract 15 from each side
-15 = 3/2x -15+15
-15 = 3/2x
Multiply each side by 2/3
2/3 *-15 = 2/3 * 3/2x
-10 =x
The x intercept is
(-10,0)
Answer: (-10,0)
Step-by-step explanation:
what is 3 1/3x1 1/7
Answer:
3 17/21
Step-by-step explanation:
Please help ASAP!!!!
Answer:
Students from the list of all students.
Step-by-step explanation:
The list includes ALL students attending the school, not just the ones from a particular group.
Which graph shows a dilation?
Answer:
Step-by-step explanation:
Sorry but im struggling with this too :(
Two consecutive even Integers have a sum of 34. Find the Integars
Answer:
18 and 16
Step-by-step explanation: