Answers
Answer:
See image
Step-by-step explanation:
This is to help you practice exponent rules. The rules are short cuts, which are good bc they're faster but bad bc they take away the meaning of the work. If you're trying to remember a rule, think through the meaning. See image.
So, "multiply exponents" and "product of powers" are basic two equivalent phrases! I think the answers on the image should work, but jic if not switch those two.
The Add exponents rule and Subtract are 100% correct.
The expressions are matched to the method needed to evaluate as shown below.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
The first expression is 5³ × 5³.
Multiplication rule of exponents states that,
xᵃ × xᵇ = xᵃ⁺ᵇ
That is we add the exponents.
So, 5³ × 5³ = 5³⁺³ = 5⁶
The next expression is (7²)³.
We have the rule, (xᵃ)ᵇ = xᵃᵇ
So, here, multiply the exponents.
(7²)³ = 7⁶
(4x³)⁵
We can write it as,
(4x³)⁵ = 4⁵ . (x³)⁵
That is write is as product of the powers.
Division rule of exponents states that,
xᵃ / xᵇ = xᵃ⁻ᵇ
6⁹ / 6⁵ = 6⁹⁻⁵ = 6⁴
So, subtract the exponents.
Hence the expressions are matched.
Learn more about Exponents here :
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Related Questions
GUYS PLS HELP IF I DONT PASS MY PARENTS ARE GONNA BEAT ME PLS HELP!!!
Which inequality includes q = 24 in the solution set?
1/2q>12
3/4q<18
6≥1/4q
9≤1/3q
Answers
Answer:
Im 99% sure its B
Step-by-step explanation:
Fill in the blanks to solve 900 x 6
Answers
Answer:
The answer is 900 ×6= 5,400 u can use a calculator
Find the slope of the line through (1, 2) and (- 9,7).
Answers
Step-by-step explanation:
formula y2-y1 / x2-x1
m = 5 / -10 = 1 / -2 = -0.5
What is the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) with a straightedge and a compass?
Answers
The next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.
To construct angle MNO congruent to the given angle ABC, the following conditions must be satisfied:
The two angles must be equal (∠ABC = ∠MNO).The radius of the two triangles must be equal.The radius from center N must be equal to radius BA and BC.The radius of angle MNO is NO and it must equal BA and BCThus, we can conclude that, the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.
Learn more about construction of congruent angles here: https://brainly.com/question/20097419
Omar deposited $4000 into an account with 4.4% interest, compounded quarterly. Assuming that no withdrawals are made, how much will he have in the account after 10 years?
Do not round any intermediate computations, and round your answer to the nearest cent.
Answers
future value
principal
int
compound
years
How to find the area of a missing square
Answers
Check the picture below.
btw, when Pythagoras said the square of this equals that and so on, he really meant the square or square area.
if you help me with this i’ll mark you brainlest if you are the first to answer.
Answers
Answer:
m∠1 = 97
m∠2 = 83
m∠3 = 97
m∠4 = 83
Answer:
m∠1 = 97°
m∠2 = 83°
m∠3 = 97°
m∠4 = 83°
Step-by-step explanation:
180 - 97 = 83°
180 - 83 = 97°
Find the probability of rolling a die twice, first getting a 3 and then an odd number.
(This sounds simple but every answer I get isn’t the correct one)
PLEASE I DON’T UNDERSTAND
Answers
Answer: 1/3 or 0.333333333
Step-by-step explanation:
Probability of getting a 3 is 1/6.
1/6
Probability of getting an odd number is 3/6.
3/6
Multiply them.
1/6*3/6 = 4/12
Simplify.
4/12 = 1/3
Correct me if I am incorrect.
A square plywood platform has a perimeter which is 11 times the length of a side,
decreased by 42. Find the length of a side. (P = 4L
Answers
Answer:
Step-by-step explanation:
11L - 42 = 4L
7L = 42
L = 6
Find the length of the hypotenuse.Round to the nearest 10th if necessary.(40pts)
Answers
Answer:
5 is our hypotenuse
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
c is our hypotenuse
[tex]3^{2} + 4^{2} = c^2[/tex]
[tex]9 + 16 = 25[/tex]
[tex]25 = c^{2}[/tex]
c = 5
5 is our hypotenuse
Answer:
x = 5
Step-by-step explanation:
[tex]c=\sqrt{a^2+b^2} \\a= \sqrt{3^2+4^2} \\c=\sqrt{9+16} \\c= \sqrt{25} \\c= 5[/tex]
A bag of 8 apples costs $1.50 at Sam’s Orchard. a. At this same rate, how much would 18 apples cost? b. How many apples could you buy for $5.00
Answers
Answer:
cost for 18 apples: $3.38
$5 will buy 26 apples
Step-by-step explanation:
let 'a' = apples
1.50/8 = cost per apple
$0.1875 for one apple
cost for 18 apples: 0.1875 x 18 = $3.38
5.00 / 0.1875 = number of apples for $5 → 26
A recipe calls for 3/4 of a cup of flour to make 5/8 of a pound of bread
dough. How many cups of flour are needed to make 1 pound of dough?
Show your work and write your answer in simplest form.
Answers
Answer:
[tex]\huge\boxed{\sf 1 \ pound \ of \ dough = 1\frac{1}{5} \ cup \ of \ flour}[/tex]
Step-by-step explanation:
[tex]\displaystyle \underline{Given \ that:}\\\\\frac{5}{8} \ pound \ of \ dough = \frac{3}{4} \ cup\ of \ flour\\\\Multiply \ 8 \ to \ both \ sides\\\\5 \ pounds \ of \ dough = \frac{3}{4} \times 8 \ cup \ of \ flour\\\\5 \ pounds \ of \ dough = 3 \times 2 \ cup \ of \ flour\\\\5 \ pounds \ of \ dough = 6 \ cups \ of \ flour\\\\Divide \ both \ sides \ by \ 5\\\\1 \ pound \ of \ dough = \frac{6}{5} \ cup \ of \ flour\\\\\boxed{1 \ pound \ of \ dough = 1\frac{1}{5} \ cup \ of \ flour}\\\\[/tex]
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807please help me with this!
•
•
•
Answers
Answer:
y=-2 is y intercept, graph opens upward like a smiley face
a=3 ,b=1, c=-2
Step-by-step explanation:
1.the graph opens upward since 3x^2 is positive
2.the graph corsses the Y axis when x is zero, so setting x equal to zero we find...
3(0)^2 + (0) -2 =y so y=-2 is y intercept
y=ax+bx+c
y=3x^2+x-2
a is represented by 3
b is 1 since x is positive
c is -2
How Much Percentage is 7 out of 45.99?
Answers
Answer: 0.152207 %
Step-by-step explanation: divide the amount by the total to get the percentage.
Tara scored 6times as many soccer goals as Leah Leah scored 3 goals.How many more goals did Tara score
Answers
she will score 18 goals
Step-by-step explanation:
6×3=18
Luke portrays this time in Jesus’ ministry as very successful, but he starts giving hints of things to come. For instance, after the healing of the boy, Jesus seems to randomly say that he is going to be betrayed. Why would Jesus have picked that time to say such a thing? I think Jesus picked this time to warn the disciples about what was going to happen.
Answers
Maria is riding her bike through the Red Rock Loop. Maria recorded her distance traveled at five different
points during her bike ride. The table of values below shows the results of her bike ride.
Answers
Answer:
MOoo
Step-by-step explanation:
MOoo
What is the area of triangle ABC? pls help i need to pass this test!!
Answers
Answer:
Step-by-step explanation:
Maya solved 1/4 of a crossword puzzle before dinner and a part of it after dinner. If Maya solved 3/4 of the crossword in all, what fraction of the puzzle did she solve after dinner?
Choose the equation that matches the word problem.
Answers
Answer:2/4
Step-by-step explanation: you would just subtract 3/4 by 1/4 to get 2/4
a A rocket is launched from a tower The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground , the nearest 100th of second y=-16x^2+148x+128
Answers
Answer:t=10.05s
Step-by-step explanation:
2x2 is what its due in 1 minute
Answers
Answer: 4
Step-by-step explanation: You multiplied 2 and 2 which equals to 4
Answer:
9
Step-by-step explanation:
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
13. What is the equation of the line through the two points (5,2) and (5.-3)
Answers
Answer:
yes i love this app , this app so good
Write an expression that is the product of two factors and is equivalent to -2x - 10
PLEASE HELP
Answers
Answer:
-2(x + 5)
Step-by-step explanation:
what is 2 equivalent fractions of this 2/5=_=_
Answers
Answer:
4/10, 6/15, 120/300, etc.
Equivalent fractions can be anything, as long as they divide to .4 (2/5).
Basically any equivalent fraction
[tex]\frac{2*n}{5*n}[/tex]
with n as any integer, is an equivalent fraction to 2/5 since
[tex]\frac{2*n}{5*n}=\frac{2}{5}*\frac{n}{n}=\frac{2}{5}*1=\frac{2}{5}[/tex]
heleppppppppppppp
plssssssssssssssss
Answers
Answer:
21
Step-by-step explanation:
Answer:
(3,3)
Step-by-step explanation:
Point B is the only point that inside the rectangle alone. Point A is not found in any shape and points C and D are inside the oval. coordinates are labeled (x,y). The coordinates of point B are (3,3)
I understand if this a little difficult to understand and i sincerely apologize for that..
It’s number 5 what is the domain and range plz help urgent
Answers
Answer:
Domain: -2,-1,0,3 Range: -2,-1,0,3
Step-by-step explanation:
The x values (horizontal) is the domain and the dots on the x values are -2,-1,0,3. The y values is the range and the dots on the y values are -2,-1,0,3. Hope this helps :)
I need help with this question
Answers
Answer:
Go download CameraMath on playstore that how
I is get my answer
A pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%. It is known that from a particular production run impurity concentrations follow a normal distribution with a standard deviation of 0.4%. A random sample of 64 pills from a production run was checked, and the sample mean impurity concentration was found to be 3.07%. Testing at the 5% level the null hypothesis that the population mean impurity concentration is 3% against the alternative that it is more than 3%.
a. Calculate the p-value for this test.
b. Find the p-value for this test and draw your conclusion.
c. Suppose that the alternative hypothesis in part b had been two-sided rather than one-sided. Conduct your test using either the critical value or the p-value approach.
Answers
Answer:
c
Step-by-step explanation:
Marl me as brainliest answer c
The p-value for the given test is 0.0901.
Given that, a pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%.
What is a standard deviation?Standard deviation is the degree of dispersion or the scatter of the data points relative to its mean, in descriptive statistics.
Given, Mean = 3.07, μ=3%, σ =0.4% and n=64.
Hypothesis test [tex]H_{0}[/tex];μ=3 and [tex]H_{1}[/tex];μ>3
We need to test the null hypothesis against the alternative hypothesis, we reject the null hypothesis and accept the alternative hypothesis.
When x>x critical
x critical = μ+Z+σ
Z = (x-μ)/(σ/√n)
= (3.07-3)/(0.4/√64)
= (0.07)/0.05
= 1.4
α = 5 and [tex]z_{0.05[/tex]= 1.645
If Z>[tex]Z_{0.05[/tex]
1.4 > 1.645
Therefore, we do not reject null hypothesis at 5% significant level.
There is sufficient evidence that the mean impurity in concentration pills is 3% or less than 3%.
p-value
p−value=P(Z>1.4)
=1−P(Z<1.4)
=1−0.90988
=0.0901
Therefore, the p-value for the given test is 0.0901.
To learn more about the standard deviation visit:
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A cube has a surface area of 54cm^2 Find the side length, x, of the cube
Answers
we know that the area of a cube is its side cubed
So, x^3 = 54(i think it should be 64)
x = 4 (if it is 64)
if it is 54 then we will take the cube root of 54
Answer:
3
Step-by-step explanation:
6a^2=54
a^2=54/6
a=root 9
a=3
Robin currently has 50 subscribers on her You.Tube channel, and Dimitri currently has 17 subscribers. Robin gains 4 subscribers every week, while Dimitri gains 7 subscribers each week.
Part A: Set up a system of equations to shows each person's subscribers.
Part B: After how many weeks will Robin and Dimitri have the same number of subscribers?
Part C: How many subscribers will Robin and Dimitri have when their subscriber count is equal?
Answers
Answer:
Part A :
Robin : 50 divided by 4 = 12.5, Robin took 12.5 Weeks to get to 50 subscribers.
Dimitri : 17 divded by 7 = 2.4, Dimitri took 2.4 weeks to get to 7 subscribers.
Part B : In 7 weeks, Dimitri will have 66 subscribers, And in 4 weeks, Robin will have 66 subscribers. So after 7 weeks for Robin and 4 for Dimitri
Part C , They will have 66 subscribers. After 7 weeks Dimitri will have 66 subcribers, and after 4 weeks Robin will have 66 subscribers.
Explanation :
I have calculated out Robins and Dimitris subscribers counts with math.
Part A: The attached image is for Robin but I didn't have time for Dimitri.
Dimitri: Currently has 17 subscribers, 7x11=77. 17+77 = 94 and the same goes for Robin.
Robin: Currently he has 50 subscribers, 4x11=44. 50+44 = 94.
Part B: After 11 weeks Robin and Dimitri will have the same number of subscribers.
Part C: Robin and Dimitri will have 94 Subscribers when their subscriber count is equal.
