Answer:
[tex]= 2x^{-6}y ^{21}\\\\[/tex]
Step-by-step explanation:
Given the indicinal expression (2x^2 y^-2 / y^5)^-3
In indices
[tex](x^m)^n = x^{mn[/tex]
Applying to solve the question
[tex](2x^2 y^{-2} / y^5)^{-3}\\\\= \frac{2x^{-6}y^6}{y^{-15}}\\= 2x^{-6} * \frac{y^6}{y^{-15}} \\= 2x^{-6} * y ^{6-(-15)}\\= 2x^{-6} * y ^{6+15}\\= 2x^{-6} * y ^{21}\\= 2x^{-6}y ^{21}\\\\[/tex]
Shawn eams $20 for working 2
hours. If the amount of money
he earns varies directly with
the number of hours he works,
how much will he earn for
working 20 hours?
Answer:
200 bucks
Step-by-step explanation:
20/2=10 per hour
10x20=200
Which expressions are equivalent to the one below? Check all that apply.
Answer:
B
Step-by-step explanation:
Jorges car wash offers a weekend special on sand washes on cars, trucks , and SUVs. you can also chooses between wax, vacuum, and interior cleanings. how many different car washes can you make for the weekend?
Answer:
9 different car washes
Step-by-step explanation:
From the services that Jorge offers we can see that there are 3 options (wax, vacuum, and interior cleanings) on 3 different categories of vehicles (cars, trucks, and SUV). Therefore, in order to calculate the number of possible combinations or car washes that you can make, we need to multiply the number of options by the number of categories of vehicles. Like so...
3 * 3 = 9
Therefore, we can see that there are a total of 9 different car washes that you can make for the weekend.
(b +11) (b - 11)
Please show work
Answer:
b² - 121
Step-by-step explanation:
(b +11)(b - 11)
b² - 11b + 11b - 121
b² - 121
12
36
27
Write
proportion for
the set of simular polygons.
Answer:
The ratio is 27/36
Step-by-step explanation:
Mathematically, when two shapes are similar, the ratio of their corresponding sides are equal
What we have in the question are same side values on each of the polygons
So therefore, we have it that;
w/12 = 27/36
See image below for reference
Answer:
arithmetic sequence
Step-by-step explanation:
Angela and Juan went to the ice cream store where ice cream cones cost $0.90 each and ice cream bars cost $0.75 each. They spend $13.50 and bought 4 more ice cream cones than ice cream bars. How many ice cream cones did they buy? Show your work
Please Help,!
What is variability?
(Put it in your own words please)
Answer:
Variability describes how far apart data points lie from each other and from the center of a distribution. Along with measures of central tendency, measures of variability give you descriptive statistics that summarize your data. Variability is also referred to as spread, scatter or dispersion.
Step-by-step explanation:
I HOPE IT MAY HELP !!..
5 consecutive numbers that add up to 555
Answer:
The numbers are 109, 110, 111, 112 and 113.
Step-by-step explanation:
have a good day and may i have brainleast plz
A line has a slope of m = 3/4 and goes through the point (16, -2). Which of these is the equation of the line?
Answer:
y = (3/4)*x - 14
Step-by-step explanation:
The slope-point general equation of the straight line is:
y = m*x + b
In that equation, m is the slope and b is the intercept with y-axis
The equation has two parameters to determine m and b. for a different pair of values we get just one unique straight line equation. To do that we need two conditions.
Here we have m = 3/4 and the point P ( 16 , -2), by substitution
y = (3/4)*x + b and
- 2 = (3/4)*16 + b - 2 = 3*4 +b -2 = 12 +b b = -14
Then the final equation is:
y = (3/4)*x - 14
The graph of quadratic function p is shown on the grid. (-3, 3) (3, 3) If (x) = x and p(x) = 5(x) + n, what is the value of n?
Answer:
-6
Step-by-step explanation:
Sorry, no explaination, but it's correct (trust me)
The value of n for which the considered quadratic equation p(x) and k(x) are such that p(x) = k(x) + n is n = -6
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
[tex]y=a(x-h)^2 + k[/tex]
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
This graph goes through three points, (-3,3), (3,3), and (0,-6) (the last point is the vertex of the quadratic equation).
Let the function p(x) be:
[tex]p(x) = a(x-h)^2 + k[/tex]
Since the vertex lies on the point (h,k) = (0,-6), putting h = 0, and k = -6, we get:
[tex]p(x) = ax^2 -6[/tex]
Now, as this graph passes through (x,y) = (-3,3), putting x= -3, and y (output, or say p(x)) = 3, we get:
[tex]3 = a(-3)^2 - 6\\3 = 9a-6\\9a = 9\\a =1[/tex]
Thus, the function p(x) is:
[tex]p(x) = x^2 - 6[/tex]
But since [tex]k(x) = x^2[/tex], therefore,
[tex]p(x) = x^2 - 6 = k(x) - 6[/tex]
On comparison with p(x) = k(x) + n, we deduce that n = -6
Thus, the value of n for which the considered quadratic equation p(x) and k(x) are such that p(x) = k(x) + n is n = -6
Learn more about vertex form of a quadratic equation here:
https://brainly.com/question/9912128
Given the figure below, find the values of x and z
Answer:
x = 2
z = 111°
Step-by-step explanation:
Angles having measures (7x + 55)° and (14x + 41)° are the vertically opposite angles.
Therefore, both the angles will measure the same.
(7x + 55) = (14x + 41)
7x - 14x = 41 - 55
-7x = -14
x = 2
Measure of angle (7x + 55)° = 7(2) + 55
= 14 + 55
= 69°
Since, angles measuring 69° and z° are the linear pair of angles,
69° + z° = 180°
z = 180 - 69
z = 111°
PLEASE ANSWER
each angle of a regular pentagon measures 108 degrees is it possible to fit copies of a regular pentagon snugly around a point if yes how many copies does it take if not why not ?
Answer:
mark brainliest please.
Step-by-step explanation:
Three copies of a regular hexagon snugly around a point because 360 ÷ 120 = 3. Each interior angle of a regular pentagon measures 108°. 360 ÷ 108 = 3 1/3, which is not a whole number. This means that it would not be possible to fit the copies of a regular pentagon snugly around a point.
Helen recorded the number of tomatoes on each of her tomato plants and then arranged the numbers from smallest to largest. The number of tomatoes on each plant were 5, 5, 5, 6, 9, 10, 10,10, 10, and 10. The mean number of tomatoes was 8. What is the mean absolute deviation?
Answer:
2.2
Step-by-step explanation:
Given the data :
X = 5, 5, 5, 6, 9, 10, 10,10, 10, and 10
Mean of the data, xbar = 8
The mean absolute deviation, MAD is obtained thus :
Σ|x - xbar| / n
n = sample size
Σ|x - xbar| = (3 + 3 + 3 + 2 + 1 + 2 + 2 + 2 + 2 + 2)
Σ|x - xbar| / n = 22 / 10
MAD = 2.2
Which could be the description of a cross section of a right cylinder that is neither parallel nor perpendicular to the base?
Answer:
The description of a cross section of a right cylinder that is neither parallel nor perpendicular to the base is (an);
Ellipse
Step-by-step explanation:
The given question is presented as follows;
Which could be the description of a cross section of a right cylinder that is neither parallel nor perpendicular to the base;
The options obtained from an online source (PSD) are;
Circle
Ellipse
Rectangle
Triangle
The cross section of a right cylinder that is parallel to the base is in the shape of a circle
The cross section of a right cylinder that is perpendicular to the base of the cylinder is in the shape of a rectangle
The cross section of a right cylinder that is neither parallel nor perpendicular to the base of the cylinder is in the shape of an ellipse which is a form of an oval shape.
You deposit $7,900 in an account that pays 1.29% annual interest. Find the balance after 5 years when theinterest is compounded quarterly.
•$10,293.78
•$8,132.89
•$9,378.23
•$8,425.47
Answer:
8,425.47
Step-by-step explanation:
Total Principal: $7,900.00
Total Interest: $525.47
interest rate of 1.29% compound quarterly is equivalent to annual rate of 1.296%
Write an equation that represents the set of all points (x, y) on the coordinate plane that are 4 units away from the point (-1,2).
Part B:
Explain how you determined your answer.
Answer:
Dont press the link that the other guy put thats
not the answer
Step-by-step explanation:
3. A 42 ft tall tree casts a 15 ft shadow, what is the
angle of elevation to the sun?
Answer:
19.64°
Step-by-step explanation:
The angle of elevation can be calculated as follows
Tan ©= 15/42
= 0.357
= tan-1 0.357
= 19.64°
Hence the angle of elevation is 19.64°
solve for x:
4=1/4(x-5)²
Answer:
x=9,1
Step-by-step explanation:
Take the root of both sides and solve.
x = 9 , 1
Answer:
X=9 or 1
Step-by-step explanation:
It's really complicated to explain, sorry!
(P.S, if that's you in your pfp, you are so freaking stunning, period. As you should)
Hope this helped, and please mark as brainliest :)
Create an expression without using parentheses that is equivalent to7(3x+x)
Answer:
28x
Step-by-step explanation:
7×3x=21x+x×7=7x
21x+7x×28x
please help me this is confusing.
44/15 converted into a mixed number (convert a fraction into a decimal before converting it into a mixed number)
Answer:
44/15 converted into a mixed number = 2(14/15)
Step-by-step explanation:
44/15 = 2.9333333...... = 2( 14/15)
so it is the number 2 and (0.93333)
Lets see how is the decimal is in fraction
0.93333 is a mixed recurrent number and in fraction is 14/15
14/15 = 0.93333.....
With recurring mixed decimal :
For the top part:
Take the non-repeating and the repeating(93) and subtract the non repeating(9)
93-9= 84
For the bottom part: for every repeating decimal,you put a 9 And for every non repeating decimal,you put a zero
so one 9 and one zero (90)
84/90 = 14/15 = 0.93333....
Help !Use multiplication to decide if the quotient is correct or incorrect.
26 divided by 8 = 2 r2
A. Correct
B. Incorrect
Answer:
incorrect
Step-by-step explanation:
2x8=16
16+2=18
You draw three cards from a deck of cards. Explain the difference in the probability of drawing three kings from the deck if you pull and replace the card versus you pull and don't replace the card.
If you replace cards it would be deferent then if you didnt beacuse there would be difrent cards therefore it would change the probability
5 is 5% of what number $w$ ?"
equation
Answer:
If 5 is 5%, then we can say that 1 is 1%, so we can multiply by 100 to get 100% which is 100, your answer. I hope this helps!
Step-by-step explanation:
Ricky answered 90% of the questions on his science test correctly. There were 50 questions on the test. How many questions did Ricky answer correctly?
Answer:
45 questions
Step-by-step explanation:
A graph of a quadratic function is shown on the grid. Which coordinates best represent the vertex of the graph.
Please answer this question, thanks in advance.
Answer:
[tex]5 - \frac{1300}{100} = 5 - 13 = - 8[/tex]
20% of the student body of Tyson Middle School is in the band. If the student population of Tyson Middle School is 680. how many students are in the band?
A. 68
B. 136
C. 78
D. 120
help please i got 3,800 but it says he walked home again help please :D
Answer:
I think you just add another 3 kilos
Step-by-step explanation:
3 kilos = 3000 meters