Answers
Hello there!
Law of Exponent
[tex] \displaystyle \large{ {a}^{ \frac{m}{n}} = \sqrt[n]{ {a}^{m} } }[/tex]
The first problem asks us to write the cube root of 17 in exponential form. Refer the exponent's law above.
[tex] \displaystyle \large{ \sqrt[3]{17} = \sqrt[n]{ {a}^{m} } }[/tex]
Compare the terms.
a = 17m = 1n = 3Hence,
[tex] \displaystyle \large{ \sqrt[3]{17} = {17}^{ \frac{1}{3} } }[/tex]
The second problem asks us to write 13^{1/2} in radical form. Refer the law above.
[tex] \displaystyle \large{ {13}^{ \frac{1}{2} } = {a}^{ \frac{m}{n} } }[/tex]
Compare the terms.
a = 13m = 1n = 2Hence,
[tex] \displaystyle \large{ {13}^{ \frac{1}{2} } = \sqrt{13} }[/tex]
Conclusion
First answer is 17^{1/3}Second answer is √13Let me know if you have any questions!
Topic: Exponent / Fractional Exponent and n-th root /
Related Questions
calculate the mean of the set of boys and girls below:
boys 21, 18, 20, 16, 16, 22, 28, 24, 26
girls 13, 16, 15, 14, 15, 19, 22, 26, 12
A-boys: 21.22 girls: 16.89
b-boys, 21 girls, 15
c-boys 18.5 girls 17
d-boys 18.5 girls 15
Answers
Answer:
Boys: 21.22 Girls: 16.89
Answer: A
Step-by-step explanation:
Add all the data points and divide it by the number of the data points.
Which of the following sets contains multiples of six?
{1, 6}
{2, 3}
{4, 9}
{12, 18}
Answers
If you have any doubts plz let me know.
Suppose y varies directly with x. If y = –4 when x = 8, what is the equation of direct variation?
Complete the steps to write the equation of direct variation.
Start with the equation of direct variation y = kx.
Substitute in the given values for x and y to get
.
Solve for k to get
.
Write the direct variation equation with the value found for k. The equation is
.
Answers
Answer:
1.✔ -4 = k(8)8 = k(-4).
2.✔ -1/2.
3.✔ y = (-1/2)x.
Step-by-step explanation:
This is 100% right
Need help ASAP pls thx
Answers
Answer:
the correct answer is 60 :)
[tex]\\ \sf\longmapsto RElative\:Frequency(Green)[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{14+18+28}[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{60}[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{7}{15}=0.46[/tex]
What is the length of the line?
Please explain in depth and I will give Brainliest
Answers
Answer:
Step-by-step explanation:
picture will show you all the explaination
help i hate maths its just HARD FOR MEEE
Answers
Answer:
Step-by-step explanation:
[tex]U=\{1,2,3,4,5,6,7,8,9,10\}\\\\P=\{2,4,6,8,10\}\\\overline{P}=\{1,3,5,7,9\}\\\\Q=\{2,3,5,7\}\\\overline{Q}=\{1,4,6,8,9,10\}\\\\P\ \cap\ Q=\{2\}\\P\ \cup\ Q=\{2,3,4,5,6,7,8,10\}\\\\\overline{P\ \cup\ Q}=\{1,9\}\\\\\overline{P}\ \cap\ \overline{Q}=\{1,3,5,7,9\}\ \cap\ \{1,4,6,8,9,10\}=\{1,9\}[/tex]
Karl drove for 4 hours. For part of the trip he drove at 50 miles per hour. For the rest of the trip he drove at 100 miles per hour.
All together he drove 250 miles.
Solve this equation for h to find out how many hours he drove at 50 miles per hour.
250 = 50h + 100(4 - h)
Answers
Answer:
3 hours
Step-by-step explanation:
250 = 50h + 100(4 - h)
250 = 50h + 400 - 100h
250 = -50h + 400
-150 = -50h
h = 3
What is the width of a rectangle with an area of 300 square feet and a length of L feet?
Answers
can someone please help me with this?
Answers
Answer:
These are the missing numbers
Sec1
A. 12, 29/2, 17 (arithmetic)
C. 3/16, 3/32, 3/64 (geometric)
D. 17, 33, 65 (neither)
Sec2
A. 8, 48 (growth)
B. 16, 32 (growth)
C. 1, 2 (rate)
Step-by-step explanation:
Section 1
A. add by 2.5 or 5/2
C. multiply by 1/2
D. double the value-added
Section2
A & B. multiply by 2
C. add 1/2
which of the following functions is graphed below?
Answers
Same as before, the functions are the same.
The first function is used for x ≤ 1, because of the closed circle.
The second function is used for x > 1, because of the open circle.
The correct answer is option (D).
To find from graph below which functions.
What is co-ordinate geometry?Coordinate geometry is defined as the study of geometry using the coordinate points.
First at the left side of the graph. The shape that it is an [tex]x^{3}[/tex] function. also the filled in circle means inclusive. so that when x <= (whatever number). It is impossible to tell for sure with this graph if it is on 1. for the first part. the only answer that has less than or equal to is the last one, D. To look at the right side that it is open circle. It is >.
So, the answer is Option (D).
Learn more about co-ordinate geometry here:
https://brainly.com/question/24428694
#SPJ6
Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point?
Answers
Answer:
height is 4ft.
Step-by-step explanation:
I used pathagorus theorem .All explaination is in the pic below.
Plessse help, thanks
The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 9t3 + 24t2 – 20t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?
5 months
3 months
2 months
1 month
Answers
Replace t with the months given as choices to see which one gives a positive value as an answer.
P(1) = 1^4-9(1)^3 + 24(1)^2-20(1) = -4
P(2) = 2^4-9(2)^3+24(2)^2-20(2) = 0
P(3) = 3^4 -9(3)^3+24(3)^2-20(3) = -6
P(5) = 5^4-9(5)^3+24(5)^2-20(5) = 0
P(6) = 6^4-9(6)^3+24(6)^2-20(6) = 96
It shows a profit in month 6 so it would start showing a profit in month 5.
The answer is 5 months
Simplify each expression
Answers
Solve for x: 4 - (x + 2) < -3 ( x + 4)
(9th grade algebra 1)
Answers
Answer:
[tex]x < -7[/tex]
Step-by-step explanation:
[tex]4 - (x+2) <-3(x+4)\\\\4 - x -2 < -3x -12\\2 -x < -3x-12\\-x < -3x-14\\2x < -14\\x < -7[/tex]
A scale drawing of a school bus has a scale of 1/2 inch to 5feet. If the length of the school bus is 4 1/2 inches on the scale drawing. What is the actual length of the bus? Explain or show your reasoning.
Answers
Explanation:
Scale drawn:
1/2 inch = 5ft
Meaning that if the drawing scale is 0.5 inch then the actual bus would be 5ft.
If the length of the drawn school bus is 4 1/2 inches. We can write:
1/2 = 5
4 1/2 = x
=> x = (5 x 4 1/2)/1/2
Or x = (5 x 4.5)/0.5
x = 22.5/0.5
x = 45
Therefore the actual length of the bus is 45 ft
What is the answer to this? Please send help
Answers
Step-by-step explanation:
steps are in the picture.
Note:if you need to ask any question please let me know.and solve the two equations for x and y.)
midpoint (-4,-7), endpoint (5,- 10)
The other endpoint is
(Cype an ordered pair.
Answers
Answer:
the formula is x2+x1/2 , y2+y1/2 so plug it in and you will get (1,-17/12)
Step-by-step explanation:
Solve for y.
–5(y − 3) − 10 = –6y
y =
Answers
Answer:
[tex]y = - 5[/tex]
Step-by-step explanation:
[tex] - 5(y - 3) - 10 = - 6y[/tex]
➡️ [tex] - 5y + 15 - 10 = - 6y[/tex]
➡️ [tex] - 5y + 5 = - 6y[/tex]
➡️ [tex] - 5y + 6y = - 5[/tex]
➡️ [tex]y = - 5[/tex]
34x = 850
just a simple equation. I posted it for no reason in particular.
Answers
X= 25 if that’s what you wanted to know.
Answer:
x=25
Step-by-step explanation:
because i divided
What is the greatest
common factor (GCF)
of 40 and 42?
Answers
i need help ;^; please im no big brain
Answers
Answer:
[tex]18\sqrt{3} + 55\sqrt{3} = 73\sqrt{3}[/tex]
Step-by-step explanation:
27= 3 * 3 * 3
75 = 3 * 5*5
18 sqr 3 + 55 sqr 3 = 73 sqr 3
Transformation is when a shape has been copied, which means that the shape has the same size, area, angles and side lengths. What does it mean when the shape has rotated
Answers
Answer:
I think it is called a rotation or reflection.
Step-by-step explanation:
Write the slope-intercept form of the equation of the line through the given point with the given slope.
through: (1, 1), slope = 6)
through: (-4, -4), slope = 1/4)
through: (4, 5), slope = 7/4)
through: (-4, -5), slope = 0)
through: (5, 1), slope = -2/5
Answers
Answer:
through: (-4, -5), slope = 0)
Step-by-step explanation:
gd afternoon
have a lovely day
Evaluate the expression x^2 - y^2, if x = -3, and y= 2
Answers
[tex]\\ \rm\longmapsto x^2-y^2[/tex]
[tex]\\ \rm\longmapsto (-3)^2-(2)^2[/tex]
[tex]\\ \rm\longmapsto 9-4[/tex]
[tex]\\ \rm\longmapsto 5[/tex]
integers: 11×11÷[-11÷{12-(13-12)}]
Answers
Answer:
121+11 divided 37
hope this helped:)
Answer:
-121
Step-by-step explanation:
You can plug it in to a calculator, or use pemdas: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
y-3 = 2(x+1)
fiind the missing value ?
Answers
Step by step process:
Let's solve for x.
y−3=2(x+1)
Step 1: Flip the equation.
2x+2=y−3
Step 2: Add -2 to both sides.
2x+2+−2=y−3+−2
2x=y−5
Step 3: Divide both sides by 2.
2x/2=y−5/2
x=1/2y+(−5/2)
Answer: x=1/2y+(−5/2)
Let's solve for y.
y−3=2(x+1)
Step 1: Add 3 to both sides.
y−3+3=2x+2+3
y=2x+5
Answer:
y=2x+5
Elsa needs to drive a total of 205.6 miles. So far she has driven 67 miles. How many miles muse she drive?
Answers
Answer:
138.6 miles
Step-by-step explanation:
205.6 - 67 = 138.6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
i need helpppp Blake and josh are both saving money for a new bike, the ratio of blake saving 3:1 if they have saved 400$ how much has each boy saved
Answers
Answer:
Blake = $300
Josh = $100
Step-by-step explanation:
3:1
3(00) / 1(00)
300 / 100
Chow,...!
PLEASE HELP! it's due today
Answers
Answer:
[tex]thank \: you[/tex]
Estimate the sales tax and final cost of a book that costs $12.95 with a sales tax
of 6%.
Answers
Step-by-step explanation:
1.06 × 12.95
13.727
which is 13.73 to find the sales tax subtract it from the original
12.95 - 13.73
which is about 28 cents or 0.28
