Answers
Step-by-step explanation:
Simplify: [(8)^2/3]^4
(a) 8^8/3
(b) 8^6/3
(c) 8^6/12
Solution:
[(8)^2/3]^4
use the rules of exponents to simplify the expression.
=> [(8)^2/3]^4
To raise a power to another power multiply the exponents.
=> (8)^2/3 × 4
Multiply 2/3 times 4.
=> (8)^8/3
Option (c) (8)^8/3 is your correct answer.
Another method:Given,
[(8)^2/3]^4
=> [(8^3)^2/3]^4
=> [(2)^3×2/3]^4
=> [(2)^2]^4
=> (2)^2×4
=> (2)^8
=> 2^8
=> 2×2×2×2×2×2×2×2
=> 256 Ans.
Hope this helps!!
Related Questions
.4x=.5x-30 solve for x
Answers
Answer:
x=300
Step-by-step explanation:
Multiply both sides by 10
0.4x·10=0.5x·10-30·10
Refine
4x=5x-300
Subtract 5x from both sides
4x-5x=5x-300-5x
Simplify
-x=-300
Divided both sides by -1
-x/-1=--300/-1
Simplify this and you will get x=300
Hope this Helps
Asher built two bookends and wants to paint them. How much paint will he need to cover the surface of both bookends? 468 cm2 576 cm2 936 cm2 1,044 cm2
Answers
Asher will need c. 936 cm² of paint to cover both the bookends.
Step-by-step explanation:
Step 1:
To determine the amount of paint needed, we determine the surface area of the triangular prisms.
To calculate the triangular prism's surface area, we calculate the areas of all the 5 sides. We divide the prism into 2 triangles and 3 rectangles, find the areas individually and then sum them all up in order to determine the area of the entire triangular prism.
Step 2:
There are two triangles with base lengths of 9 cm and heights of 12 cm. A triangle's area is half the product of the base length and its height.
Area of 1 triangle = [tex]\frac{1}{2} (9)(12) = 54[/tex] cm².
Area of both triangles = 2× Area of 1 triangle [tex]= 2(54)[/tex] = 108 cm².
Step 3:
There are three rectangles with a common length of 10 cm but there are three different widths. Any rectangle's area is calculated by multiplying the rectangle's length with its width.
Area of a rectangle with width 15 cm [tex]= (10)(15) = 150[/tex] cm².
Area of a rectangle with width 9 cm [tex]= (10)(9) = 90[/tex] cm².
Area of a rectangle with width 12 cm [tex]= (10)(12) = 120[/tex] cm².
Step 4:
The area of the entire triangular prism = Area of 2 triangles + Area of all the 3 rectangles = [tex]108+150+90+120 = 468[/tex] cm².
This is the surface area of 1 bookend. As both the bookends are similar.
The surface area of 2 bookends [tex]= 2(468) = 936[/tex] cm².
Asher will need 936 cm² of paint to cover both the bookends.
Answer:
c
Step-by-step explanation:
determine the probability of each compound event described. show work.
1. spinning a 3 and rolling a 3
2. spinning an odd number and rolling a 5 or 6
3. spinning an even number and rolling an odd number
4. spinning an even number and rolling an odd number
5. spinning a 3 or 7 and rolling an odd number
Answers
Answer:
Spinning a 3 and rolling a 3
Step-by-step explanation:
The length of a rectangle is 1 m more than twice the width, and the area of the rectangle is 45 m . Find the dimensions of the rectangle.
Answers
The length and width of the rectangle is 10 m and 4.5 m respectively.
Step-by-step explanation:
Given,
The length of a rectangle is 1 m more than twice the width.
Area of the rectangle = 45 sq m
To find the length and width of the rectangle.
Formula
If the length and width of a rectangle be l and b respectively, the area will be lb.
Let, the width (b) be = x and
Length (l) = 2x+1
According to the problem,
(2x+1)x = 45
or, [tex]2x^{2} +x = 45[/tex]
or, [tex]2x^{2}+x-45 = 0[/tex]
or, [tex]2x^{2}+(10-9)x-45 = 0[/tex]
or, [tex]2x^{2}+10x-9x-45 = 0[/tex]
or, 2x(x+5)-9(x+5) = 0
or, (2x-9)(x+5) =
Hence,
2x-9 = 0 and x+5 = 0
or, x = [tex]\frac{9}{2}[/tex] and x= -5
We will take x = [tex]\frac{9}{2}[/tex] as the value of length cannot be negative.
So,
Width = 4.5 m and Length = 2×4.5+1 = 10 m
The area of a rectangle is determined by the product of its length and width. In this rectangle, the width (W) is found to be 5 meters by solving the given equation. The length, being 1 meter more than twice the width, is 11 meters.
Explanation:To solve this problem, you can use the formula for the area of a rectangle, which is Area = length × width. You know from the problem that the area of the rectangle is 45 square meters, and the length (L) is 1 meter more than twice the width (W).
You can thus express the length in terms of the width: L = 2W + 1. Substituting this into the formula for the area gives you: 45 = W × (2W + 1).
Solving this equation involves expanding the right side: 45 = 2W² + W, arranging the equation to set the right side to zero: 2W² + W - 45 = 0
By factoring or using the quadratic equation, you find that the roots of the equation (the possible values for W) are 5 and -4.5. Since a negative width doesn't make sense in this context, you discard -4.5, and your width is thus 5 meters.
The length is then 2W + 1 = 2(5) + 1 = 11 meters. So, the dimensions of the rectangle are 5 meters by 11 meters.
Learn more about Rectangle Dimensions here:https://brainly.com/question/35474401
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Use the net to find the surface area of the prism.
Answers
Answer:
Step-by-step explanation:
THE ANSWER IS 286 FT
JUST TOOK QUIZ ON GRADPOINT
the area of a parallelogram can be found by multiplying the distance between two parallel sides by the length of either of those sides. explain why this formula works.
Answers
A map has a scale 1 inches : 10 miles. Use the given map distance to find the actual distance
A.3 in
B.7.5 in
C.1ft
Answers
Answer:
A - 30 miles
B- 75 miles
C- 120 miles
Glad I could Help :)
Step-by-step explanation:
What equation is the inverse of y=x^2-36
Answers
Answer: B .. Y = +- square root X+36
Step-by-step explanation:
Find the volume of a prism. The area of the pentagonal base is (124/tan36°)m² . It’s height is 13 m. If necessary, round your answer to the nearest hundredth.
The volume of the prism is about ____ m ³
Answers
The volume of the prism with a pentagonal base area of ([tex]\frac{124}{\tan36^\circ}[/tex])m² and height of 13 m is approximately 2218.73 m³ when rounded to the nearest hundredth.
The volume of a prism is calculated by multiplying the area of the base by the height of the prism. For a prism with a pentagonal base, if the area of the base is ([tex]\frac{124}{\tan36^\circ}[/tex])m² and the prism's height is 13 m, then the volume V is found by the following calculation:
V = area of base × height
V = ([tex]\frac{124}{\tan36^\circ}[/tex]) × 13
First, calculate the numerical value for tan36°:
tan36° ≈ 0.7265
Then plug this value into the formula:
V = (124÷0.7265) × 13
V ≈ 2218.73 m³
The volume of the prism is therefore approximately 2218.73 m³, rounded to the nearest hundredth.
Find the value of c that makes the expression a perfect square trinomial.
x2 – 15x + c
A) 225/4
B) 225/2
C) 30
D) 225
Answers
The value of c that makes the expression x² − 15x + c a perfect square trinomial is obtained by squaring half the coefficient of x, which in this case is 225/4. Therefore option A is the correct answer.
To find the value of c that makes the expression x² − 15x + c a perfect square trinomial, we need to find a value for c such that the trinomial can be expressed as the square of a binomial.
This binomial will have the form (x - h)², where h is half the coefficient of the x term in the original trinomial.
In this case, the coefficient of x is -15.
Half of -15 is -15/2.
Squaring this value will give us c. Thus, (-15/2)² equals 225/4.
The value of c that makes the expression a perfect square trinomial is 225/4.
PLS HELP IF YOU WANT A BRAINLIEST
Jamal performed an experiment flipping a coin. He did 10 trials and then his arm got tired. He recorded his results in the table. Based on the experimental probability, Jamal predicted that the number of times the coin lands heads up will always be greater than the number of times it lands tails up. What is the error in his prediction?
He should have performed fewer trials before comparing them to the theoretical probability.
He did not need to perform the experiment to compare theoretical and experimental probabilities.
He should have subtracted the theoretical probability from the experimental probability.
He did not perform enough trials to compare the theoretical and experimental probabilities.
Answers
Answer: um im not really sure what you want here but im pretty sure thats the answer right there, dont know what else to say.
Answer:
He did not perform enough trials to compare the theoretical and experimental probabilities
ILL GIVE YOU BRAINLIEST? Which number line has a point at -4 1/2?
Answers
Answer:
A
Step-by-step explanation:
the number line has a -4 and adds the 1/2
hope this helps!!!
brainliest plz :)
Every person has blood type O, A, B, or AB. A random group of people are blood-typed, and the results are shown in the table. A 2-column table with 4 rows is shown. The first column is labeled Blood Type with entries O, A, B, AB. The second column is labeled Number of People with entries 22, 20, 6, 2. Use the table to determine the following probabilities. The probability that a randomly chosen person from this group has type B is . The probability that a randomly chosen person from this group has type AB is . The probability that a randomly chosen person from this group has type B or type AB blood is .
Answers
Answer:
1 -- 3/25
2 -- 1/25
3 -- 4/24
Step-by-step explanation:
To find the probability of a randomly selected person being in any category, divide the amount of people in that category by the total amount of people.
We can find the total amount of people by adding the amount of people with each blood type.
Total = O + A + B + AB = 22 + 20 + 6 + 2 = 50
There are 50 total people in this group. Now we can find the probability of randomly selecting a person from each category.
Probability of type B
There are 6 people with type B blood. The probability of randomly selecting a person from this group is 6/50, or 3/25.
Probability of type AB
There are 2 people with type AB blood. The probability of randomly selecting a person from this group is 2/50, or 1/25.
Probability of type B or AB
We need to find the amount of people who are in either group. There are 6 people with type B blood and 2 people with type AB blood, so 8 people satisfy this criteria. The probability of randomly selecting a person with type B or AB blood is 8/50, or 4/25.
What is the definition of the word "mean?"
A
The average of a set of numbers.
B
The number that occurs most often in a set.
C
The difference between the greatest and the least values in a set.
D
The middle number of a set when arranged in value order.
Answers
Explanation:
How you find the mean is the same way you average a set of numbers.
Answer:
the average number of a set
Step-by-step explanation:
What is the slope of the line through (3, 2) and (-3, 4)?
Answers
Answer:
Slope =-1/3
Step-by-step explanation:
(3,2)..... x1 =3, y1=2
(-3,4).... x2=-3, y2 =4
Slope=(y2-y1) /(x2-x1)
Slope=(4-2) /(-3-3)
Slope =2/(-6)
Slope=-1/3
Convert the angle \theta=\dfrac{257\pi}{360}θ= 360 257π theta, equals, start fraction, 257, pi, divided by, 360, end fraction radians to degrees. Express your answer exactly. \theta=θ=theta, equals ^\circ ∘
Answers
Answer:
[tex]\theta=128.5^{\circ}[/tex]
Step-by-step explanation:
The given angle measure is
[tex]\theta=\dfrac{257\pi}{360}[/tex]
We need to convert the radian measure to degree.
To convert radian to degree, multiply the given measure by [tex]\frac{180^{\circ}}{\pi}[/tex].
[tex]\theta=\dfrac{257\pi}{360}\times \dfrac{180^{\circ}}{\pi}[/tex]
On simplification, we get
[tex]\theta=128.5^{\circ}[/tex]
Hence, the required measure is [tex]\theta=128.5^{\circ}[/tex].
[04/04, 13:08] Apostle ELIJAH Ben: *PROBLEM OF THE DAY*
Some birds were flying and met a bird on their way. The bird greeted them; hello hundred! They said we are not hundred, we need half of us plus you to make us hundred.
Question: How many birds were flying?
Possible answers
*A. 198*
*B. 49*
*C. 66*
*D. 51*
*E. 101*
what is the correct answer?
Answers
Answer:
66
Step-by-step explanation:
The statement can be translated to
x + x/2 + 1 = 100
Where x is the number of birds flying. Simplify this and get:
3/2 x = 99
x = 99 * 2/3 = 66
Which expression is equivalent to 9 p minus 3 p + 2?
A. 8p
B. 14p
C. 6 p + 2
D. 9 p minus 1
Answers
Answer:
c. 6p+2
Step-by-step explanation:
Answer:
C. 6p+ 2
Step-by-step explanation:
9p-3p+2+
=6p+2
You would subtract the 9p and 3p as normal and woud add the 2 at the end.
Hope this helps
PLEASE MARK AS BRAINLIEST!!!!!
Find the midpoint given the endpoints (7,-9)
and (-10,8).
Answers
Answer:
(-1.5, -0.5)
Step-by-step explanation:
The formula for the midpoint given the endpoints is the following:
[tex](\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})[/tex]
Thus, the x coordinate of the midpoint is -3/2
The y coordinate would be -1/2
CVCICLE JUU
Today at snacktime, Kaylee ate 30% of the cookies in the cookie jar. If Kaylee ate 6 cookies, how
many cookies were in the jar before snacktime?
There were cookies in the jar before snacktime.
Answers
Answer:
32?I think don't quote me
20 cookies.
100/30 is 3.33(Repeating)
So 3.33(Repeating) x 6 is 20.
help help
please please
Answers
-1/4 x 12 4/9 = 28/9
[tex]6x^2 = 726[/tex]
Answers
Answer:
[tex]x=11\\[/tex]
Step-by-step explanation:
[tex]6x^2=726[/tex] First, you need to divide everything by 6.
[tex]x^2=121[/tex]Then you put everything in a radical to get this:
[tex]x=11[/tex]
Answer:
[tex]6 {x}^{2} = 726 \\ \frac{6 {x}^{2} }{6} = \frac{726}{6} \\ {x}^{2} = 121 \\ x = \sqrt{121} \\ x = 11[/tex]
Geometry question, someone please help me, it's important
Answers
Answer: the answer is 42 degress
Step-by-step explanation: A strait line would equal 180 degress so subtract the angle you know witch is 138 degress to get 42 degress
Solve the equations 7 = 4(c - 6)
Answers
Answer:
c=7.75
Step-by-step explanation:
First distribute the 4 on the right side
7=4(c-6)
7=4c-24
Add 24 on both sides
31=4c
Divide by 4 on both sides
c=7.75
Hope this helps!
Answer:
7.75 -= c
Step-by-step explanation:
Alright let's do this step by step!
7 = 4c - 24
add 24 to both sides :)
31 = 4c
divide by 4 (both sides)
c = 7.75
Thank me later :)
12. On Saturday, Mrs. Armour bought 7 pairs of socks for $3 each, and a
sweater for her dog for $12. Then she found a $5 bill on the sidewalk.
Over the course of Saturday, what was the change in the amount of
money Mrs. Armour had?
Answers
Answer:
This answer is -28
I have this problem on my school work this is what the correct answer is ;3
Susan is going to build a large wooden storage box. The box will be in the shape of a rectangular prism, as shown below. She wants to cover all the sides of the box with special wallpaper that costs 3$ per square foot. How much will the wallpaper cost in total?
Answers
Answer:
Where is the rectangular prism.
Step-by-step explanation:
Cannot help to answer this question.
Answer:
We need the prism
Step-by-step explanation:
Where is the prism
2. y=-3x-6
Slope m=
y-intercept br
Answers
y intercept is -6
Y-intercept is, -6
Sydney completed 60% of the math problems assigned for homework. She
has 4 more problems to finish. How many math problems were assigned for
homework?*
Answers
Answer:
6
Step-by-step explanation
Total assignment =x
100%-60%=40%
Therefore
40%=4
40/4=10
60/10=6
6+4=10
Total assignment x=10.
The total number of math problems assigned for homework will be 10.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Sydney completed 60% of the math problems assigned for homework. She has 4 more problems to finish.
Then the number of total problems assigned is calculated as,
⇒ 4 / (1 - 0.60)
⇒ 4 / 0.40
⇒ 10
The total number of math problems assigned for homework will be 10.
More about the percentage link is given below.
https://brainly.com/question/8011401
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1 meter = 10 decimeters = 100 centimeters 1 gallon = 4 quarts = 8 pints Question: Solve the following conversion problems: a) Convert 5 meters to centimeters. b) Convert 10 quarts to pints. c) Henry has 26 pints of , can he fill completely fill all four gallon milk jugs that he has? If not, how much does he still need?
Answers
Answer:
A) 5 meters to cm= 500cm
B) 10 quarts to pints= 20 pints
C) No, cause 26 pints is just 3.25 gallons so he would need 6 more pints to fill up four gallons of milk that is 36 pints makes four gallons
Step-by-step explanation:
identify the range of the function
Answers
Answer:
-2≥y≥4
Step-by-step explanation:
Since the y values go down to -2 and come up to 4 that is the answer