Answers
Equivalent expressions are expressions that have equal values
The equivalent expressions of [tex]y^{-8}y^3x^0x^{-2}[/tex] are [tex]x^{-2}y^{-5}[/tex] and [tex]\frac{1}{x^2y^5}[/tex]
The expression is given as:
[tex]y^{-8}y^3x^0x^{-2}[/tex]
Express x^0 as 1
[tex]y^{-8}y^3x^0x^{-2} = y^{-8}y^3 \times 1 \times x^{-2}[/tex]
Apply law of indices
[tex]y^{-8}y^3x^0x^{-2} = y^{-8 + 3}\times x^{-2}[/tex]
[tex]y^{-8}y^3x^0x^{-2} = y^{-5}\times x^{-2}[/tex]
Remove the product sign (x)
[tex]y^{-8}y^3x^0x^{-2} = y^{-5}x^{-2}[/tex]
Rewrite as:
[tex]y^{-8}y^3x^0x^{-2} = x^{-2}y^{-5}[/tex]
Rewrite as positive exponents
[tex]y^{-8}y^3x^0x^{-2} = \frac{1}{x^2y^5}[/tex]
Hence, the equivalent expressions of [tex]y^{-8}y^3x^0x^{-2}[/tex] are [tex]x^{-2}y^{-5}[/tex] and [tex]\frac{1}{x^2y^5}[/tex]
Read more about equivalent expressions at:
https://brainly.com/question/2972832
Related Questions
Determine the equation of the circle graphed below
Answers
Answer:
(x + 3)² + (y - 4)² = 32
Step-by-step explanation:
Since we are given the coordinates of the centre and a point on the circle, we can use distance formula to find the radius.
r = √((1 - (-3))² + (8 - 4)²)
r = √(16 + 16)
r = √32
Now, formula for equation of a circle with centre (h, k) is;
(x - h)² + (y - k)² = r²
Our centre is (-3, 4) with r = √32
Thus;
(x - (-3))² + (y - 4)² = (√32)²
(x + 3)² + (y - 4)² = 32
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answers
Answer:
c = 6.4
Step-by-step explanation:
Clarence saved 19% of the money he earned. If Clarence earned $90, how much did he save?
Answers
Yes yes yes yes yes
Lee Ran 100 meteres in 28.45 seconds. Jackie ran 100 meters in 30.29 seconds. How Much Longer did it take jackie than lee to run 100 meters?
Will Mark Brainliest if someone answer’s ,No Link’s
Answers
Answer:
1.84 meters
Step-by-step explanation:
Jackie: 30.29 meters - Lee: 28.45 meters = 1.84 meters
Who cares about your credit history?
A:Credit card companies
B: Insurance companies
C: Banks
D: All of the above
Answers
Use the graph to help you answer this question
4
6
Point A(2, 1) partitions OR in the ratio of 3 to 2. The coordinates of point Q are (-4,-5). What are the coordinates of point R?
(-2,-3)
0 (4,3)
(6,5)
(0-2)
Answers
Answer:
Coordinates of point R = (6,5)
Step-by-step explanation:
Given;
Point A(2 , 1)
Q(-4 , -5)
m1:m2 = 3 : 2
Find:
Coordinates of point R
Computation:
X = [(m1)(x2) + (m2)(x1)] / (m1 + m2)
2 = [(3)(x2) + (2)(-4)] / (3 + 2)
2 = [3x2 - 8] / (5)
10 = [3x2 - 8]
3x2 = 18
x2 = 6
Y = [(m1)(y2) + (m2)(y1)] / (m1 + m2)
1 = [(3)(y2) + (2)(-5)] / (3 + 2)
1 = [3x2 - 10] / (5)
5 = [3x2 - 10]
3y2 = 15
y2 = 5
Coordinates of point R = (6,5)
9). Four friends earned $4.20 for washing a car. They decided to split the money equally. How much money did each friend get?
Answers
Answer:
1.05
Step-by-step explanation:
Answer: $1.05
Step-by-step explanation:
I think this answer is correct because, all we have to do here is divide 4.20 by 4 (because there is 4 friends and they each get an equal amount.) So 4.20 divided by 4 equals 1.05.
Hope This Helps!
The management of a supermarket wants to find if there is a relationship between the number of times a specific product is promoted on the intercom system in the store and the number of units of that product sold. To experiment the management selected a product and promoted it on the intercom system for seven days. The following table gives the number of times this product was promoted each day and the number of units sold.
Number of Promotions per Day Number of Units Sold per Day (hundreds)
15 11
22 22
42 30
30 26
18 17
12 15
38 23
a) With the number of promotions as an independent variable and the number of units sold as the dependent variable determine the least squares regression line. Give the equation of the line.
b) Compute r and r2. Explain their meaning.
c) Predict the number of units of this product sold on a day with 35 promotions.
d) Construct a 98% confidence interval for \beta .
e) Test at the 1% significant level that \beta is \beta \neq 0.
Answers
Answer:
15 11
Step-by-step explanation:
Can someone answer this please I don’t understand
Answers
Answer:
3x+2x+a=180 degree(being linear pair)
5x+25=180
5x=180-25
x=155/5
x=31
Step-by-step explanation:
the sum of 2 numbers is 65 and the difference is 7
Answers
Answer:
Hello There!!
Step-by-step explanation:
The answer is=>The sum is x + y = 65
The difference is x - y = 7 .....x = 7 + y
7 + y + y = 65
7 + 2y = 65
2y = 58
y = 29
x + y = 65
x + 29 = 65
X = 36
The Sum: 36 + 29 = 65
The Difference: 36 - 29 = 7
hope this helps,have a great day!!
~Pinky~
Answer:
36 and 29
Step-by-step explanation:
The sum of the two numbers is 65 and their difference is 7. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is 7. In other words, x minus y equals 7 and can be written as equation B:
x - y = 7
Now solve equation B for x to get the revised equation B:
x - y = 7
x = 7 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
7 + y + y = 65
7 + 2y = 65
2y = 58
y = 29
Now we know y is 29. This means that we can substitute y for 29 in equation A and solve for x:
x + y = 65
x + 29 = 65
X = 36
Summary: The sum of two numbers is 65 and their difference is 7. What are the two numbers? Answer: 36 and 29 as proven here:
Sum: 36 + 29 = 65
Difference: 36 - 29 = 7
HELP please!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Round 46.27 to the nearest tenth
Answers
Answer:
46.3
Step-by-step explanation:
Answer:
46.3
Step-by-step explanation:
46.27 the tenths place is the 7 and the 2 is the ones and you round the 7 to make the 2 to a 3 and get rid of the 7
How many solutions does the equation 2x -1 = x + x -1 have ?
Answers
Answer:
Infinite solutions
Step-by-step explanation:
2x -1 = x + x -1
2x=x+x
2x=2x
Bob and Lashonda want to find the mean weight of cats at their local pet adoption center. So they each randomly select cats at the shelter and measure the weights.
The results are shown below (in pounds). Use the data to answer the questions.
Bob's sample:
15, 8, 20, 9, 12, 19
Lashonda's sample:
8, 6, 10, 11
(a) What is the sample size for Bob's sample?
(b) What is the sample size for Lashonda's sample?
(c) Suppose you had to choose one sample to estimate the mean.
Which sample is more likely to give a good estimate of the mean?
A: Bob's sample
B: Lashonda's sample
Why?
A: It has the smaller mean.
B: It has the larger mean.
C It has the smaller sample size.
D It has the larger sample size.
Answers
Answer:
(a): 6. (b): 4. (c). Bob's sample, as it has a larger sample size.
help me!!!!!!!!!plzzz
Answers
Answer:
B. 1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
add all the values 10+14+6=30 since red is 10 divide 10 by 30 so 10/30 simplifying to 1/3.
I NEED HELP it's due today! Giving out BRAINLIEST & 30 POINTS!
~Rules~
a. SHOW WORK/CHECK ANSWER
b. NO FILES/LINKS
c. NO SILLY ANSWER
~Hocus Pocus
Answers
Answer:
see below
Step-by-step explanation: 5 20 21 02
There are 5 areas to calculate
Top = LW = (20)(17)
Bottom = LW = (20)(15)
Back = LW = (20)(8)
2 Triangular Ends = One square = LW = (8)(15)
Total Surface Area = (20)(17) + (20)(15) + (20)(8) + (8)(15)
= (20)(17 + 15 + 8) + (8)(15)
= (20)(40) + (8)(15)
= 800 + 120
= 920 ft²
A scalar pipeline has 4 pipeline stages A, B, C, D. An operand entering this pipeline must be processed by the four units A-> B -> C -> D. Suppose that units A, B , D takes 2 ns to process an operand, and unit C takes 3 ns to process an operand. How many ns does it take for this scalar pipeline to process 1000 independent operations?
Answers
Answer:
The answer is "3006 ns"
Step-by-step explanation:
The time is taken by [tex]a,b, D = 2\ ns[/tex]
taking time [tex]= 3 \ ns[/tex]
first taking time [tex]= 2\times 3+3= 6+3=9[/tex]
Calculating the Rest taking 3 ns to process
For 1000:
[tex]= 9+ 3\times 999\\\\= 9+2997\\\\=3006\ ns[/tex]
Please answer it. I will give brainliest if its correct..
Answers
First find the circumference of the circle:
Circumference = 2 x radius x pi
Circumference = 2 x 4 x 3.14 = 25.12 cm
Now arc ML is 100 degrees.
Multiply the circumference by the arc degree/360 ( 360 is a full circle)
25.12 x 100/360 = 6.98 cm
The answer is 6.98 cm
3 Select the correct answer. Which measure of center is the most appropriate for this data set? 20, 6, 42, 13, 15, 10, 9, 12, 12
A mean
B median
C mode
D mean absolutely median
Answers
Answer:
B median
Step-by-step explanation:
The median is the center of any data set
Explain what circumference and area have in common
and how they are different.
Answers
Answer:
They both have pie in the formula
Step-by-step explanation:
Answer:
Circumference is the distance around a circle, or the perimeter. Area is the space inside the circle. Area has square units, circumference does not. They both have π in the formula.
9. When the sun makes an angle of o above the horizon, a building casts a shadow 17 feet long
What function models the height of the building?
How high is the building if 0 = 38°
(pic included) pls help me
Answers
Answer:
A. tan 38° = opposite/adjacent
opposite = (tan 38°)(adjacent)
opposite = (0.31)(17 ft)
opposite = 5.27 ft
B. height is = 5.27 ft
The models the height of the building is y = 17 tanθ and if θ=38° then the height is 13.28 feet
ModelA mathematical model is a linguistic and mathematical concepts-based description of a system. Mathematic modeling is the process of creating a mathematical model.
How to find the model?(A) Give the building and is shadow is 17 feet and make θ.
then the relation is tanθ =y/17
So y = 17 tanθ
(B) If the is angle is 38°
then
tan38° =y/17
0.7813 = y/17
y = 13.28 feet
Hence the model is tanθ and when the angle is 38° the value of y is 13.28 feet.
Learn more about the model here- brainly.com/question/24448358
#SPJ2.
At which value in the domain does f(x) = 0?
2
2
4
Answers
Answer:
4
Step-by-step explanation:
y=x+5
please help me with this problem I'm really struggling to answer the question.
Answers
Answer:12
Step-by-step explanation:just know i did it and got it right
My usual workout consists of running 10 laps around a 400 meter track. If I go to a track that is only 250 meters long, how many laps will I need to run to get the same workout?
100 POINT QUESTION!!!
Answers
Answer:
16 laps
Step-by-step explanation:
400x10=4000
4000÷250=16
Randy took a standardized test that is normally distributed. He scored a 105 on the test. The nationwide mean score on the test was 94 and the standard deviation was 6.2. What percent of the tested population scored higher than Randy on the test? Round to the nearest whole percent.
Answers
Answer:
4% of the tested population scored higher than Randy on the test
Step-by-step explanation:
P(X>105) = normalcdf(105,1e99,94,6.2) = 0.0380155219 ≈ 0.038 ≈ 3.8% ≈ 4%
Therefore, about 4% of the tested population scored higher than Randy on the test.
Please help me I need to pass this
Answers
Answer:
5
-7
36
Step-by-step explanation:
if the center is (5,-7) the first part must look like
(x-5)²+(y+7)²
to find the raidus plug in 5 for x and -1 for y
(5-5)²+(-1+7)²
0²+6²=36
36
55 Find the missing angle
Answers
Answer:
what
Step-by-step explanation:
the area of the parallelogram is 105 cm2. what is the base of the parallelogram?
Answers
Answer:
15 cm
Step-by-step explanation:
Since the area of a parallelogram is b * h = a,
105 = 7b
b = 105/7 = 15 cm
Solve for x: 4x-8+34+76-x = 180
NO LINKS PLSSS
Answers
Answer:
x=26
Step-by-step explanation:
first add the numbers
4x-8+34+76-x=180
4x+102-x=108
Then combine like terms
4x+102-x=180
3x+102=180
Subtract 102 from both sides of the equation
3x+102=108
3x+102-102=108-102
Simplify
3x=78
Divide both sides of the equation by the same term
3x=78
3x/3=78/3
simplify
cancel terms that are in both the numerator and denominator, divide the numbers
Solution
X=26
PLS HELP WILL ONLY GIVE BRAINLY IF STEPS ARE INCLUDED
(2x-2)(2x-2)(2x-2)
Answers
Answer:
8^3−24^2+24−8
Step-by-step explanation:
If you search the equation up it tells you the answer is 8^3−24^2+24−8 and shows you the steps. (I’m sorry. I just didn’t have the patience to write out all the steps.)