Answers
Answer:
Part A: A) [tex]\frac{4y^{10}}{3w}[/tex]
Part B:
C) Quotient Rule of Powers (explained in Part A of this post).
D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).
Step-by-step explanation:
[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]
Part A:Use the Quotient Rule of Exponents:
[tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex]
The 28 and 21 can be reduced by dividing both of them by 7. For the exponential expressions with the same base, you could subtract their exponents. I'll do each base separately so it doesn't get confusing.
[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]
Base y:[tex]y^{15-5}[/tex] = [tex]y^{10}[/tex] (in the numerator).
Base w:[tex]w^{4-3}[/tex] = w (in the denominator. The "w" in the numerator cancels out).
Base z:[tex]z^{7-7}[/tex] = [tex]z^{0} = 1[/tex] We used the Zero Exponent Rule here, were it states: [tex]a^{0} = 1[/tex]. (unnecessary to include in the final answer).
Altogether, you'll have:
Option A: [tex]\frac{4y^{10}}{3w}[/tex]
Part B:
C) Quotient Rule of Powers (explained in Part A of this post).
D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).
Related Questions
jun has two less more than three times as many books as harriet. if jun has 13 book how many books does harriet have plsss helpp
Answers
PLEASE HELP ME. HAVE TO BE DONE IN FRACTION
3/4 - 7/9 + 2/3 =
Answers
Answer:
23/36
Step-by-step explanation:
use BODMAS
fist add 3/4+2/3
to get 17/12
then subtract 17/12-7/9
to get 23/36
Mae receives $79.00 for working one 10-hour day. One day she had to stop after working 7 hours because of a doctor’s appointment. How much did she make that day? I need help
Answers
79.00 divided by 10 = $7.90/hr
2. Multiply $7.9 by 7 hours = $55.30
Answer:
Mae got payed $55.30 for working a 7 hour day
hey can u please help i will give brainliy if u get it right :)
Answers
9514 1404 393
Answer:
400 minutes
Step-by-step explanation:
The cost of the first plan is ...
A = 14 + 0.15m . . . . . . . . where m is the number of minutes used
The cost of the second plan is ...
B = 30 + 0.11m
The costs will be equal when ...
14 +0.15m = 30 +0.11m
0.04m = 16 . . . . . . . . . . . . . subtract 14+0.11m from both sides
m = 400 . . . . . . . . . . . . . . . divide by 0.04
The plans will have the same cost for 400 minutes of calls.
What is 12/9 in simplest form
Answers
Explanation)
You’d have to find the common factor of 12 and 9
(7x)(2xy) how do I rewrite that as a sum
Answers
A rectangle is drawn so that the width is 1 feet shorter than the length. The area of the rectangle is 72 square feet. Find the length of the rectangle.
Answers
Answer:
9 ft
Step-by-step explanation:
Atea = length* width
what two numbers multiply to 72 but are one number apart
9 * 8
9 is the length since the width is given as being shorter.
other numbers can multiply to 72 but they are not one number apart.
Answer:
9ft
Step-by-step explanation:
2/3 divided by 3/4 simplified
Answers
Simplify (−4.5)(−6)(5.4).
i need the answer pls
Answers
Answer:
145.8
Step-by-step explanation:
−4.5 x −6 x 5.4
Answer:
the answer is 145.8
Step-by-step explanation:
sorry if I did it wrong
2/3 : 2/6 as a unit rate
Answers
Answer:
3/1
Step-by-step explanation:
Complete each ordered pair so that it is a solution of the given linear equation. x - 3y=4;(.-3), (-11, ) The first ordered pair is 0-3).
Answers
Answer:
Step-by-step explanation:
x - 3y = 4
x - 3(-3) = 4
x + 9 = 4
x = -5
(-5, -3)
-11 - 3y = 4
- 3y = 15
y = -5
(-11, -5)
I don't see how (0, -3) could be a solution to the equation.
Solve: 4x − 9 = 39
help
Answers
Answer:
Group into like terms. divide both sides by the coefficient of xa.
Which of the following equations correctly describes how to calculate net income?
net income = (cost of goods sold) - (net sales) - (operating expenses)
b. net income = (operating expenses) - (cost of goods sold) - (net sales)
net income = (operating expenses) + (cost of goods sold) - (net sales)
d. net income = (net sales) - (cost of goods sold) - (operating expenses)
C.
Please select the best answer from the choices provided
Ο Α
B
OD
Answers
Answer:
net income = (cost of goods sold) - (net sales) - (operating expenses)
Step-by-step explanation:
because income is based on sales, thus the cost of how much you got minus all the expenses must be the net income.
What is the square root of -1?
Answers
Answer:
it's not possible i any ways
square root of negetive numbers is not possible
Step-by-step explanation:
hope it helps you
Answer:
Like all non-zero numbers, −1 has two square roots, which we call i and −i
so its i
Do the fractions 6/7 and 16/25convert to repeating or terminating decumals numbers
Answers
Answer:
terminating decimals
Step-by-step explanation:
they don't seem to repeat numbers
Answer:
repeating
Step-by-step explanation:
6÷7= 1.111111111111
solve pls brainliest
Answers
Answer:
162
Step-by-step explanation:
don't you have calculator app on your phone??
Answer:
bru its it 32 a
Step-by-step explanation:
The system shown has
solution(s).
y= 2x+1
X
2y-x = 6
No
one
Infinite
Answers
9514 1404 393
Answer:
one solution; (x, y) = (4/3, 11/3)
Step-by-step explanation:
The two lines described by the equations have different slopes, so there will be exactly one solution to the system of equations.
__
The slope of the line will be the coefficient of x when you solve for y. In the first equation, the slope is 2. In the second equation, you can solve for y by adding x, and dividing by 2. Then the slope of that line is found to be 1/2.
Lines with different slopes must intersect somewhere. That point of intersection is the (one) solution to the system of equations.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Triangle ABC is defined by the points A(3,8), B(7,5), and C(2,3).
Create an equation for a line passing through point A and perpendicular to BC.
y=
X +
Reset
Next
Answers
Answer:
y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex]
Step-by-step explanation:
Calculate the slope m of BC using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = B (7, 5 ) and (x₂, y₂ ) = C (2, 3 )
[tex]m_{BC}[/tex] = [tex]\frac{3-5}{2-7}[/tex] = [tex]\frac{-2}{-5}[/tex] = [tex]\frac{2}{5}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{5} }[/tex] = - [tex]\frac{5}{2}[/tex] , then
y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
To find c substitute A (3, 8 ) into the partial equation
8 = - [tex]\frac{15}{2}[/tex] + c ⇒ c = 8 + [tex]\frac{15}{2}[/tex] = [tex]\frac{16}{2}[/tex] +[tex]\frac{15}{2}[/tex] = [tex]\frac{31}{2}[/tex]
y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex] ← equation of perpendicular line
The equation for a line passing through point A and perpendicular to BC is 2y = -5x +31 or y = -2.5x +15.5.
What is the equation of a Straight Line ?The equation of the straight line is represented by
y = mx+c
where m is the slope , and c is the intercept on y axis.
The equation of the line BC for points B(7,5), and C(2,3) is
y- y' = m(x-x')
m = 2/5
and c =
y-5 = (2/5)x - (14/5)
y = (2/5)x+(11/5)
The slope of the line perpendicular rot this line is given by
as the product of two perpendicular lines should be -1
m = -5/2
y = (-5/2)x +c
8 = (-15/2) + c
8 +(15/2) = 0
31/2 = c
Therefore the equation for a line passing through point A and perpendicular to BC is
2y = -5x +31
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What are the terms in the expression 2d + 7 + 5f?
ASAP
2 and 5
d and f
2d, 7, and 5f
2, 7, and 5
Answers
2d, 7, and 5f i hope this helps
Answer:2d,7,and 5f
Step-by-step explanation:
Sorry its blurry but please hurry!!!!!!! Answer 9 and 10 please!!!!
Answers
Answer:
9. 31/2 or 15.5( I think that's the answer)
10. B
Step-by-step explanation:
A sales person at a car dealership earns a monthly salary of $2400 and $250 for each vehicle sold
3. The car dealership sets a goal for each salesperson to sell at least 12 cars per month. The salesperson
achieves this goal every month for the entire year. What is the minimum amount of money the
salesperson earns for the entire year? Show your work.
I
Answers
Answer:
8 vehicles
Step-by-step explanation:
Given: Monthly salary of salesperson is $2400
Incentive of salesperson is $250 per vehicle sold.
First, lets compute income to earned apart from salary.
∴ Deduct salary from the target amount
$2000 need to be earned only through incentive, which is $250 per vehicle sold.
Now, solving to get number vehicles to be sold to earn $2000 as incentive.
Number of vehicle=
8 vehicles need to be sold by salesperson to get total earning as $4400.
What ratio is equivalent to 9:6 ?
12:8
7:4
3:1
15:10
Answers
Answer:
15:10
Step-by-step explanation:
15:10 can be reduced into 3:2 by dividing with 5
and 9:6 can be reduced to 3:2 by dividing with 3
keep smiling.
Answer:
D
Step-by-step explanation:
just got in edg 2021
Estimate the product 2.1 x 0.9
Answers
Answer:
2.0 estimated product
1.89 Actual product
Step-by-step explanation:
2.0*1.0=2.0
2.1*1.0=1.89
The product of 2.1 x 0.9 = 1.89
What is Product?A product is something that has been multiplied one or more times. For instance, the mathematical formula "times equals" would be written with the terms "times," "multiplicand," and "product," respectively.
Given:
2.1 x 0.9
Now, Multiplying
2 . 1
x 0 . 9
_________
1 8 9
0 0 x
__________
1 . 8 9
Hence, the product of 2.1 x 0.9 = 1.89
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QUICK!!
fill in the blanks below in order to justify whether or not the mapping shown represents a function.
Answers
Step-by-step explanation:
I don't know what the specific options are to be selected, but I can tell you what the situation is, and you can then pick the fitting options on your screen :
it is not a function, because 5 in set A (the domain) leads to 2 associated (functional result) values in B (the range).
but in order to be a function, every input value must have exactly one resulting output value. which is violated here.
Cassie has a box that is a cube with a side length of
4 inches. She needs a second box that has 3 times the
volume of the first box.
Answers
Answer: 192
Step-by-step explanation:
To find the volume of a shape, we multiply the length by the width by the height. Since this is a cube, we know that they are all 4, so we do 4 times 4 times 4. We get 64. SInce we know that Cassie needs a cube with a volume that is 3 times of the previous volume, 64, we multiply 64 by 3. The answer is 192.
Answer:
192 in³
Step-by-step explanation:
The volume of a cube is represented by raising one side length to the 3rd power.
4 x 4 x 4 = 64
64 is the volume of the first box.
The second box is 3 times the value of the third box, so the equation for the third box is:
64 x 3 = 192
Select the situation that have a unit rate equivalent to 3 units to 1 unit
Answers
Answer:
A gardener harvested 15 tomatoes from 5 plants
Translate into an algebraic equation, then solve the equation.
Peter paid $9.75 to go to the movies, which was $46.25 less than he paid to go to a concert. How much did he pay to go to the concert?
Answers
Answer:
$56
Step-by-step explanation:
Simply add the two values together, the algebraic equation would be:
9.75 + 46.25 = 56
So he paid $56 to go to the concert.
Hope this helps!
STATE THE MODULES THAT ARE INCLUDED WHEN LEARNING CALCULUS I.
Answers
Answer:
Calculus is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area, and volume of objects. The chain rule is a formula for the derivative of the composition of two functions in terms of their derivatives.
C: infinitely many solutions, help solve fast pls
Answers
because you end up with the same teem on both sides so it is infinitely many
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Given : Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’s bill is 7%.
To Find : How much is Isaac’s total bill?
b) 25% discount off before tax
Solution:
one pair for $37.00
second pair for $42.00
Total Bill before taxes = 37 + 42 = 79 $
7 % Sale Tax = (7/100)79 = 5.53 $
Isaac’s total bill = 79 + 5.53 = 84.53 $
Total Bill before taxes = 37 + 42 = 79 $
Discount 25 % = (25/100)79 = 19.75$
Total Bill before taxes = 79 - 19.75 = 59.25 $
7 % Sale Tax = (7/100)59.25 =4.1475 $
Isaac’s total bill = 59.25 + 4.1475 = 63.3975 $
Please post Question one by one
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