Answers:
a) [tex]7^{1/5}[/tex]b) [tex]7^{-1/7}[/tex]Each answer has 7 as the base and a fraction as an exponent.
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Explanation:
One useful rule here is that [tex]\sqrt[n]{x^m} = x^{m/n}[/tex]. The fraction m/n is the exponent for the base x. Note how the index of the root (n) becomes the denominator of the fraction m/n. So for example if we had n = 3, then we'd be dealing with a cube root.
For part a), we have x = 7, m = 1 and n = 5 to get
[tex]\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[5]{7^1}=7^{1/5}\\\\\sqrt[5]{7}=7^{1/5}\\\\[/tex]
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Part b) is the same idea
We would find that
[tex]\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[7]{7^1}=7^{1/7}\\\\\sqrt[7]{7}=7^{1/7}\\\\[/tex]
Then apply the reciprocal to both sides. This is the same as raising both sides to the exponent -1
[tex]\sqrt[7]{7}=7^{1/7}\\\\\left(\sqrt[7]{7}\right)^{-1}=\left(7^{1/7}\right)^{-1}\\\\\frac{1}{\sqrt[7]{7}}=7^{1/7*(-1)}\\\\\frac{1}{\sqrt[7]{7}}=7^{-1/7}\\\\[/tex]
You could also use the rule that x^(-y) = 1/(x^y) when dealing with negative exponents.
In the second to last step shown above, I used the rule (x^y)^z = x^(y*z) on the right hand side.
I dont know how to do this
Answer:
Step-by-step explanation:
You need to use trigonometry. tana=opposite side divided by adjacent side so
tan32=11/x
x=11/(tan32)
x=17.6
fill in the table below by finding the value of the function y = -2x + 3 at each of the inputs x = -1, x = 0, and x = 1.
Answer:
y=-2(-1)+3 y=5
y= -2(0)+3 y=3
y= -2(1)+3 y=1
Jack is investing $3,000 into an account
with an annual compound interest rate of
3% for 30 years. Jack will not make any
| additional deposits or withdrawals. How
X much interest will he have earned at the end X
of the 30 years?
Round your answer to the closest dollar
amount.
Answer:
Step-by-step explanation:
I think this is the equation for annual compunt interest
FV = PV(1 + int)^time PV is present value FV is the future value
PV + Interest = FV
FV - PV = Interest
FV - PV
Interest = [3000(1 + 0.03)^30] - 3000
= 3000(1.03)^30 - 3000
= 3000(2.4272) - 3000
= 7281.79 - 3000
= $4282 to the nearest dollar <------------ Fianl Answer
Guess what it says for brainliest
Answer:
Let's get this show on the road!
Step-by-step explanation:
I'm not sure how to explain it, i was just thinking of phrases that fit the spaces.
3/7 x 2/5 will be greater than or less than or equal to 3/7
Answer:
less than because of 2/5 being so small
Please help me and please explain the answer:))
Answer:
3rd one
Step-by-step explanation:
QUICK !!! FAST 15 POINTS
I NEED HELP!!!!!
Answer:
ECB
Step-by-step explanation:
I noticed they looked exactly the same.
Answer:
It should be ΔABD, ΔECD, and ΔECD
Step-by-step explanation:
Since ΔABE is a right triangle, one angle must be 90° with a square to signify it.
The functions f(x) and g(x) are shown on the graph.
F(x) =x^2
What is G(x)?
Please help on a timer lol
Which quadrilateral has the following property? "Diagonals are congruent to each other"
Answer:
Square
Rectangle
Step-by-step explanation:
In rectangle and square "Diagonals are congruent to each other"
um HELP PLEASE ASAP I HAVE 6 MINS JSNDKJNKDN
Answer:
a
Step-by-step explanation:
There are 30 m&ms in a bowl. Exactly 2/3 of the m&ms in a bowl are blue. How many m&ms are blue?
Answer:
sorry i need points but i hope you find what your looking for!
Step-by-step explanation:
Answer:
20 of the M&M's are blue.
Step-by-step explanation:
[tex] \frac{2}{3} \times 30 \\ = 20[/tex]
Segments AB,DC, and EC intersect at point C. Angle DCE measures 148. Find the value
Answer:
x = 16°
Step-by-step explanation:
We can see that AB is a straight line. The sum of angles on a straight line adds up to 180°
∠ACD + ∠DCE + ∠ECD = 180° (sum of angles on a straight line)
∠ACD = x, ∠DCE = 148, ∠ECD = x
substituting the respected values for the angles gives:
x + 148 + x = 180
2x + 148 = 180
subtracting 148 from both sides:
2x + 148 - 148 = 180 - 148
2x = 32
Dividing both sides by 2, to get x:
2x/2 = 32/2
x = 16°
John took a taxi from his house to the airport. The taxi company charged a pick-up fee of $4.70 plus $2.50 per mile. The total fare was $24.70, not including the tip. How many miles was the taxi ride?
Answer:
8
Step-by-step explanation:
You can solve this by creating a linear equation.
Slope: 2.50
Y-intercept: 4.70
y=2.50x+4.70
Since we know that the total fare was 24.70 we can plug it into the y.
24.70=2.50x+4.70
Now solve for the equation.
20=2.50x
8=x
So he went 8 miles with the taxi.
Total number or mile taxi run is 8 miles.
Given that;
Pick up charge = $4.7
Charges per mile = $2.5 per mile
Total fare = $24.7
Find:
Number of mile taxi ride
Computation:
Total fare = Pick up charge + [Total number or mile taxi run][Charges per mile]
24.7 = 4.7 + [Total number or mile taxi run][2.5]
[Total number or mile taxi run][2.5] = 24.7 - 4.7
[Total number or mile taxi run][2.5] = 20
Total number or mile taxi run = 20 / 2.5
Total number or mile taxi run = 8 miles
Learn more:
https://brainly.com/question/3530056?referrer=searchResults
The ratio of girls to boys in a swimming club was 2 : 4. There were 14 girls. How many total members were there in the club?
Answer:
42
Step-by-step explanation:
the ratio 2:4 can be reduced to 1:2,
where the number of girls corresponds to the 1 and the number of boys corresponds to the 2.
If there are 14 girls, then there must be 28 boys (14 x 2 = 28).
Now to get the total number we need to add the total number of boys and girls together.
So 14 + 28 = 42
Hope it helps :)
Answer:
32
Step-by-step explanation:
14 + 28 = 32
2 x 7 = 14
4 x 7 = 28
What is 972 divided by 5? PLEASE HELP!! AND IF THERE IS A REMAINDER PLS TELL ME. Ty!
Answer:
194.4
Step-by-step explanation:
The remainder is 4
Mr. Powell rents a storage space that is 7 feet high, 5 feet long, and 4 feet wide.
How many containers, each one cubic foot in volume, can Mr. Powell fit into the storage space?
Answer:
To find how many 1 by 1 containers can fit in his storage space we must find the volume of the storage space in cubic feet. The formula for the volume of a rectangular prism aka the room is length x width x height. With this formula, all we need to do is plug in all the values given to the variables.
volume = length x width x height = 5 x 4 x 7 = 20 x 7 = 140
Final Answer: 140 one foot by one foot containers can fit in Mr. Powell's storage space
Which sentence means Jack ate 2 ⁄ 4 of a pizza?
what are the sentences? but 2/4, could also be 1/2 or a half
IIIIII neeeeeed help plzzzzzzzzzzz, um.... its algebra fyi
1/2 n =18
n=______
What is 89% of 602 I really need the help someone help me
Answer:
535.78
Step-by-step explanation:
Dont how to explain
Make u the subject of the relation.
1.wx+yz=uv-2wx
Answer:
Step-by-step explanation:
wx+yz=uv-2wx
uv = wx + yz + 2wx
u = ( wx + yz + 2wx ) / v
hope it helps :)
Gail needs 9 yards of fabric for a quilt. How many different patterns of fabric does she need if she buys 1/4 of a yard of each pattern? patterns
Answer:
36
Step-by-step explanation:
just divided 9 by 1/4 I think I may be wrong.
Simplify.
multiple choice
SORRY I'M TO "SMART"!!! PLZ HELP!!!!
Answer:
The area is 81.27
Step-by-step explanation:
Sorry for the late response, but I hope I helped and I always appreciate brainliest!!! :)
If you ever need me to answer a question, feel free to ask!
Answer:
area = 130.5 in²
Step-by-step explanation:
area = 1/2(6)(8.7)(5) = 130.5 in²
4.) Show that sec 0 sin 0 cot 0= 1 is an identity
Answer:
1/sin(0)+sin(0)+cos0/sin0= 1
4 Write an inequality for the word phrase
-5 is fewer than 6 less than a numberk
Answer:
6 - 5 < X
Is your expression
What is the center of the circle x2 + y2 - 13x – 22 =0
[tex] \frac{13}{2} 0[/tex]
[tex] \frac{ \sqrt{257} }{2} [/tex]
Answer:
mark me as brainiest and follow up
genuinely don’t know how to do geometry.
Answer:
Im sorry for you this is too complex
Explain WHY the function y = tan x is graphed like
this such that it does not for a continuous function
Answer:
Those asymptotes give you some structure from which you can fill in the missing points. Find the vertical asymptotes so you can find the domain.
A class was conducting a series of probability experiments.
Which set of events would have an equally like chance of occurring?
A
spinning a spinner with 3 sections and tossing a coin.
B
rolling a six-sided cube and drawing 6 marbles out of a bag.
С
tossing a coin and choosing an odd number between 1 and 7
D
drawing 1 card out of 25 cards and choosing a letter out of the alphabet.
Set of events " rolling a six-sided cube and drawing 6 marbles out of a bag " have an equally like chance of occurring.
Option B is correct.
Probability:Probability of series of experiments shown below;
A. When spinning a spinner with 3 sections then probability of one section is [tex]\frac{1}{3}[/tex] .
When tossing a coin, then probability of getting head or tail is [tex]\frac{1}{2}[/tex]
So that, set A has not equally like chance of occurring.
B. When rolling six-sided cube, probability of getting one number is [tex]\frac{1}{6}[/tex]
When one marble is drawn out of 6 marble in a bag, then probability is [tex]\frac{1}{6}[/tex]
Therefore, set B has equally like chance of occurring.
Learn more about the probability here:
https://brainly.com/question/24756209
Can someone help me with these ?