Answer:
The answer is 144
The value of x from the given equation is 144. Therefore, option C is the correct answer.
What is the exponent?Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
The given expression is [tex](x^{\frac{1}{8} })(x^{\frac{3}{8} })[/tex].
Using exponent formula aⁿ×aˣ=aⁿ⁺ˣ we get
[tex](x^{\frac{1}{8} })(x^{\frac{3}{8} })[/tex] = [tex]x^{\frac{1}{8} +\frac{3}{8} }[/tex]
= [tex]x^{\frac{4}{8}}[/tex]
= [tex]x^{\frac{1}{2}}[/tex]
The simplified expression is equal to 12.
So, [tex]x^{\frac{1}{2}}[/tex]=12
Squaring on both side, we get
x=12²
x=144
Therefore, option C is the correct answer.
To learn more about an exponents visit:
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Transcribed Image Text:to the Tledrest tentn. A landscaper wants to place a stone walkway from one corner of the rectangular lawn to the opposite corner. The lawn is 23ft by 18ft. a.) What is the length of the walkway to the nearest foot? b.) If the stones cover one foot each how many stone will he have to buy to make sure the path is covered?
The length of the walkway is 24 ft, and you will need 24 stones to cover it.
What is the length of the walkway?
The length of the walkway will be equivalent to the hypotenuse of a right triangle with cathetus of 23ft and 18ft, so we can use the Pythagorean theorem to get it:
L^2 =(23fy)^2 + (18ft)^2
L = √( (23fy)^2 + (18ft)^2 ) = 23.77ft
The walkway is 23.77 ft long.
Rounding to the nearest foot, the length is 24 ft.
b) If each stone covers 1 ft, then you will need 24 stones.
If you want to learn more about right triangles, you can read:
https://brainly.com/question/2217700
2.
D
3
In the diagram above, Z3 = 135º.
Find the measure of Z4.
24 = [?]
Answer:
<4= 45○
Step-by-step explanation:
Step by step explanation is found on pic.
Hope that Helps :)
What is the equation of the function that is graphed as line b ?
y = x - 1
y = 2 x + 1
y = -4 x
y = x + 1
Answer:
Y=-x-1
explanation:
(1,-2)
(2,-3)
And use the slope formula, y2-y1/x2-x1
Where y2=-3
Y1=-2
X1=1
X2=2
So
-3+2/2-1=-1
So the slope is -1 and y intercept is -1
Let’s plug those values in:
Y=-x-1
Hope this helps!
..........................................
Answer:
.................................
4 ( m + 3 ) = 48
Identify M pls!
Answer:
M = 9
Step-by-step explanation:
4 (m + 3) = 484m + 12 = 484m = 48 - 124m = 36m = 36 ÷ 4m = 9the value of M is 9
During a sale,cameras were discounted 30% from their original price of $295.99.how much was each camera during the sale to the nearest cent?
.7 * 295.99 = original price
.7 * 295.99 = 207.193 = $207.19
Evaluate the expression
9^4 x 9^-4
(Problem 8 in photo. Thank you!)
Answer:
1
Step-by-step explanation:
using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , [tex]a^{0}[/tex] = 1 , then
[tex]9^{4}[/tex] × [tex]9^{-4}[/tex]
= [tex]9^{(4+(-4))}[/tex]
= [tex]9^{(4-4)}[/tex]
= [tex]9^{0}[/tex]
= 1
URGENT NEED HELP ON THIS
Answer:
I think option no B
hope it will help you
7686:9=854
(7200+486):9=(800 + 54)
Please help!! my brain is ded today
The scatter plot shows the results of a survey in which 10 people were asked how many e-mail accounts and how many credit cards they have.
How many people had 4 credit cards?
Answer: 3 people had 4 credit cards.
Step-by-step explanation:
The question does not ask about the e-mail accounts, so you can ignore that. Then look for which line is for 4 cards and see how many dots are on the line, and there's your answer.
This is my hw somebody please
Answer:
4 because the edges are like vertices.
How many odd 2-digit positive integers greater than 30 are there?
Answer:
There are 70 two digit numbers that are greater than or equal to 30
Step-by-step explanation:
hope it helps you
Answer:
35
Step-by-step explanation:
There are 100 -30 = 70 2-digit positive integers. Half of them are odd.
There are 35 odd 2-digit positive integers greater than 30.
__
Additional comment
For n = 1 .. 35, those numbers are 2n+29.
help please. I'm stuck on this question
Will mark brainliest
Answer: The number is 2
Step-by-step explanation: Suzie says that [tex]\frac{1}{2}[/tex], which is half of a whole, is equal to only [tex]\frac{1}{4}[/tex] of the unknown number. This means that to find the value of the unknown number, you need to multiply [tex]\frac{1}{2}[/tex] by 4 so that it equals to [tex]\frac{4}{4}[/tex] of the mystery number.
Simply put, multiply [tex]\frac{1}{2}[/tex] by 4. Then reduce for the answer, and this gives us these equations.
[tex]x=4(\frac{1}{2} )[/tex]
[tex]x=\frac{4}{2}[/tex]
[tex]x=2[/tex]
Hope that this helps!
find the nth term formula in the sequence - 1,9,21,47,57
Answer:
I don't know the answer but have a amazing day!<3
Step-by-step explanation:
Be happy.
What is the the decimal equivalent of 1/-4
Answer:
Step-by-step explanation:
1 / -4 = -0.25
(excuse my bad mouse drawing)
What is the measure of ZXYZ?
X
112
y
A. 170
V
O B. 72°
55°
C. 55°
w
D. 36°
Answer: D. 36
Step-by-step explanation: Angle subtended by an arc at the centre is twice of the angle subtended at any point on the circle . And in the given diagram, angle subtended on the circle by arc XZ=60 degree . So arc XZ =2*60=120. Therefore measurement of arc xyz=360-120=240 degree.
The measurement of arc xyz is 240 degrees.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Angle subtended by an arc at the centre is twice of the angle subtended at any point on the circle .
In the given diagram, angle subtended on the circle by arc XZ=60 degree .
So arc XZ =2 times of 60
=2×60
=120.
The measurement of arc xyz=360-120=240 degree.
Hence, the measurement of arc xyz is 240 degrees.
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Please help, this is the 2nd time posting this.
Answer:
HI = EF
Step-by-step explanation:
We are given that the sides GH and DE of the triangles are congruent. GH = DE
Also, we are given that the angles H and E are congruent.
H = E
Given that HI is congruent to EF, then the triangles are congruent, by Side Angle Side SAS
.
Please help me ASAP
How many solutions are there to this system of equations?
tyy!
Answer:
looks like 2
Step-by-step explanation:
Points where two lines cross are solutions they share
please show calculations
Answer:
i can't understand can u show it carefully
a circled circumference is approximately 44cm
Complete each statement using one of these values : 7,11,14,22,88,138,154,196,380,616
Answer:
1. The circle’s radius is approximately 14 cm.
2. The circle’s radius is approximately 7 cm.
3. The circle’s area is approximately 154 cm2
Question:a circled circumference is approximately 44cm
Complete each statement using one of these values : 7,11,14,22,88,138,154,196,380,616, Answers without letters: 1. 14cm 2. 7cm 3. 154 cm2
Can the sides of a triangle have lengths 2.8, 19.1, and 19.4?
Answer:
Step-by-step explanation:
Yes
You almost have an isosceles triangle. The lengths of the longest line segments differ by by 0.3. So the base of the triangle is 2.8 and the long segments are connected to each other and each of them at end of 2.8
write the equation in slope-intercept form. (-7,-2), (2,3)
Answer:
y = -5/9x + 4.1
(try doing this yourself first with different points to make sure this is the right answer, because im to lazy to check myself but ill try checking D:)
Step-by-step explanation:
first you have to find the slope . to do this use the equation y2 - y1/ x2 - x1
so write as -2 - 3/ -7 - 2 is equal to -5/-9
so now write y = -5/9x + b
we must now find the y-intercept so substitute one of the points given. lets substitute 2,3 it looks easier. So it will look like 3 = -5/9(2) + b
3 = -5/9(2) + b
3 = -10/9 + b
b = 3 + 10/9
b = 4.111111
um just round to the tenth place
Geometry: Find the length of the arc
Can someone pls help me with this??
Answer:
3π, 6π
Step-by-step explanation:
12π*1/4=3π
16π*135/360=6π
the length of arc:
[tex]\tt =\dfrac{\alpha }{360}\times 2\pi.r[/tex]
5.
[tex]\tt \dfrac{90}{360}\times 2\pi6= 3\pi~yd[/tex]
7.
[tex]\tt \dfrac{135}{360}\times 2\pi.8=6\pi~km[/tex]
30 POINTS + BRAINLEST TO FIRST CORRECT EXPLAINED ANSWER!
Please make sure to answer all parts of the question. Answer if the equation is right, and how to solve. Thank you!
Adam and Tom share a sum of money in the ratio 18:17
Adam got £5 more than Tom.
How much did Tom receive?
x = total amount split between Adam and Tom.
since we know the total amount split between both in a 18 : 17 ratio is "x", let's divide "x" by (18 + 17) and distribute accordingly to get the amount of each.
[tex]\stackrel{Adam~received}{18\cdot \cfrac{x}{18+17}}\qquad \qquad \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that Adam got "5" more}}{ \stackrel{Adam}{18\cdot \cfrac{x}{18+17}}~~ = ~~\stackrel{Tom}{17\cdot \cfrac{x}{18+17}~~ + ~~5} }\qquad \implies \qquad \cfrac{18x}{35}~~ + ~~\cfrac{17x}{35}+5[/tex]
[tex]\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{35}}{35\left( \cfrac{18x}{35} \right)~~ = ~~35\left( \cfrac{17x}{35}+5 \right)}\implies 18x~~ = ~~17x+175\implies \boxed{x =175} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}}\implies \cfrac{17(175)}{35}\implies \blacktriangleright 85 \blacktriangleleft[/tex]
A raffle sold 2,000 tickets. What is the theoretical probability of NOT having the winning ticket? P(NOT winning ticket) =
Answer:
0
Step-by-step explanation:
you dont own any tickets, so how can you have any probability of winning? 2000 other people, or at least 2000 other tickets are owned by other people than you.
Find three consecutive integers such that the product of the first and the second integer is 42
Please answer!!!!
Answer:
6 & 7.
Step-by-step explanation:
make one of the numbers x. The number succeeding it will be x +1
Their product is 42
x(x+1) = 42
x²-x-42=0
Please help me do #4
Step-by-step explanation:
I solved it by steps...
I hope you understand...
I need help on this question so if u actually can answer it correctly and show how you got it that would be helpful thx
[tex] \rm \looparrowright - \frac{1}{4} (8 - 4 + 20x)[/tex]
Subtract the numbers
[tex] \rm \looparrowright - \frac{1}{4} (4+ 20x)[/tex]
Factor out 4 from the expression
[tex] \rm \looparrowright - \frac{1}{ \cancel4} \times \cancel4(1 + 5x)[/tex]
[tex] \rm \looparrowright - (1 + 5x)[/tex]
When there is a - in front of an expression in parentheses, change the sign of each term in the expression to -
[tex] \rm \looparrowright - 1 - 5x[/tex]
Thus, Options A and F are correct!!~3) Dante bought groceries at Wegmans last weekend. His total was $50.24. The tax rate in Fredericksburg is 5,5%. How much did Dante actually spend at Wegmans?
Estimate. About how many groups of 25 are in 95? How do you know?