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
A carpenter has already shingled 10 garage roofs and is shingling roots at a constant rate of 9 per day
Write an eguation that models the number of garage roofs, 1, after t days,
an
ok
The equation that models the given situation is?
Answers
The equation that models the situation is f(t) = 10 + 9t.
The carpenter has already shingled 10 garage roofs . The initial amount he has already shingled is like a constant in the equation.
He shingles at a constant rate of 9 per day. This means each day the carpenter shingles 9 roofs.
let
f(t) = number of garage roofs the carpenter shingles
t = time in days.
If the carpenter shingles 9 roofs per day , he will shingle 9 × t roof for t days.
To model the equation where he had already shingled 10 roofs and his shingling rate, can be represented as follows:
f(t) = 10 + 9tread more: https://brainly.com/question/22965839?referrer=searchResults
Robert is making a scale model of his boat. The boat is 25 feet long. The scale he is uisng us 1 inch = 5 feet. How long is the scale?
Answers
Answer:
5 inches
Step-by-step explanation:
evaluate: 16^1/2 x 2^-3
Answers
Answer:
64
Step-by-step explanation:
16^1
---------------------- = 64
2 x 2 - ^3
Apply exponent rule
16^1 = 16
= 16
------------------
2x2 - ^3
16 = 2x 8
2 x 8
-----------
2 x 2 - ^3
Cancel the common factor <2>
8
---------
2-^3
Factor the number 8 = 2^3
2^3
----------
2-^3
Apply exponent rule.
= 2^3 - (-3) = 6
3- (-3) = 6
= 2^6
2^6 = 64
64 is the answer
Answer:
0.5
Step-by-step explanation:
[tex] {16}^{ \frac{1}{2} } \times 2 {}^{ - 3} [/tex]
[tex] \sqrt{16} \times \frac{1}{{2}^{3} } [/tex]
[tex]4 \times \frac{1}{2 \times 2 \times 2} [/tex]
[tex] \frac{1}{ 2} [/tex]
What’s the LCM of 9 and 6
Answers
Answer:18
Step-by-step explanation:
6 : 6,12,18
9: 9,18
Hi there!
»»————- ★ ————-««
I believe your answer is:
LCM (9,6): 18
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\text{Multiples of 6: }6,12,\textbf{18},24\\\\\text{Multiples of 9: } 9,\textbf{18}, 27, 36\\\\\\\text{Since 18 is the first common multiple that appears, it is the LCM.}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
HELLPP!! Find the value of x that makes line m parallel to line n:
Answers
Answer:
x = 6
Step-by-step explanation:
3. Emma said that when you multiply three negative decimals , the product will be positive . Use these numbers to answer the questions: -2.5,-3.8,-2.; .7, - 4.5
Part A: Is Emma's statement always true, sometimes true, or always false? Write two equations to support your answer.
Part B: Write a rule for multiplying three negative decimals .
Part C Emma changed her statement to say that when you multiply two negative decimals and a positive decimal the product will be positive Emma's new statement always true , sometimes true or always false ? Write two equations to support your answer
Answers
Using multiplication signal rules, it is found that:
A: Emma's statement is always false.
B: The result is always negative.
C: Emma's statement is always true.
The rule used for this exercise is as follows:
When two numbers of different signals are multiplied, the result is negative.When two numbers have the same signal, the result is positive.Part A:
Three numbers are multiplied, all negative.The multiplication of the first two result in a positive number.Then, this positive number is multiplied by a negative number, and the result will be negative, which mean that Emma's statement is always false.Two examples are:
[tex]-2.5(-3.8)(-2) = 9.5(-2) = -19[/tex]
[tex]-2.5(-2)(-0.7) = 5(-0.7) = -3.5[/tex]
Part B:
The rule is that the result is always negative.
Part C:
The multiplication of the first two negative numbers result in a positive number.Then, this positive number is multiplied by another positive number, and the result will be positive, which mean that Emma's statement is always true.Two examples are:
[tex]-2.5(-3.8)(2) = 9.5(2) = 19[/tex]
[tex]-2.5(-2)(0.7) = 5(0.7) = 3.5[/tex]
A similar problem is given at https://brainly.com/question/24764960
simplify the expression
90 + 4B - 2B - 7B
Answers
Simplify the expression
90 + 4B - 2B - 7B
Already in like terms, therefore
90+2B-7B
90-5B
Please Mark BRAINLIEST.
Divide. 3/5 divided by 4 =. 12/5 5/20 3/20 6/30
Answers
Answer:
3/20
Step-by-step explanation:
3/5 ÷ 4
Copy dot flip
3/5 * 1/4
Multiply
3/20
Purchased goods on credit from Mimi and Ana, RM300 and RM400 respectively. Btw this is account subject and can I know what is the debit and credit for this questions.
Answers
To Mimi’s a/c. 300
To Ana’s a/c. 400
Ms. Reynold's sprinkler system has 4 stations that water all parts of her front and back lawn. Each station
runs for an equal amount of time. If it takes 36 minutes for the first 3 stations to water, how long does it
take to water all parts of her lawn?
It will take 46
minutes for Ms. Reynold to water her lawn.
Answers
Answer:
It will take 48 minutes to water all parts of her lawn.
Step-by-step explanation:
Each section runs for an equal amount of time
3 sections have run for 36 minutes
36 divided by 3 is 12, meaning each section runs for 12 minutes
12 times 4 is 48
a stock market fell 25 points the following day it dropped another 12 points what was the total change in the stock market after two days
Answers
Answer: its either c or b
Step-by-step explanation:
"The sum of a number and 7 divided by -3, is 2."
Answers
Multiply by -3
(x+7) = -6
Subtract 7
x = -13
The number is -13
Solve each absolute value inequality. Graph the solution. 2 ≤ |x| − 8
Answers
Answer:
Step-by-step explanation:
please answer this question above
Answers
Answer:
2
Step-by-step explanation:
whatever number to the zero power equals 1
for example
192 to the zero power equals 1
7,000332 to the zero power equals 1
x to the zero power equals 1
so 1+1+1+1=4
(4)^1/2
2
i dk who made that rule its a little confusing but whatever
Brainliest?Ed bought cupcakes for his sister's birthday party.42 cupcakes had sprinkles on top. The other 33 cupcakes did not have sprinkles. What percentage of the cupcakes had sprinkles?
Answers
Answer:50000000000000000000000000000000000000000000000000000
The nurses of a local hospital pledged of the following donations, in pesos, to the
Philippine Red Cross.
50 100 75 80 40 60 50 20 25 30 42
Find the:
(b) Mean
(c) MAD (in one decimal place only)
Answers
Answer:
Mean = 52 MAD = 47.3
Step-by-step explanation:
mean = 50 + 100+ 75 + 80 + 40 + 60+ 50+ 20 +25 +30 +42 / amount of data = 572 / 11 = 52 MAD = rearrange numbers = 100+ 80+75+ 60 + 50 + 50+ 42 + 40+30+ 25+20 = 25 + 5 +15+10+8+2+10+5+5 = 85 / amount of data = 85/9= 9.44 then distance on number line each way = 9.44/2 = 4.72 = MAD =52-4.72 = 47.28
The mean and the MAD (mean absolute deviation) of the given data are 52 and 19.4.
What is mean and MAD?Mean is the average number of the given terms and can be calculated as the ratio of the sum of the terms to the total number of terms.
mean = sum of the terms / total number of terms
MAD refers to the Mean absolute deviation which is the average distance between each data and the mean.
MAD = [tex]\frac{1}{n} \rm |X_{i} - X|[/tex]
mean = sum of the terms / total number of terms
[tex]= \frac{50 + 100 + 75 + 80 + 40 + 60 + 50+ 20+ 25+ 30+ 42 }{11}[/tex]
[tex]=\frac{572}{11}[/tex]
= 52
Mean = 52
MAD = [tex]\frac{1}{n} \rm |X_{i} - X|[/tex]
= 2+ 48 + 23 +28+ 12+8+2+32+27+22+10 / 11
= 214 / 11
Mean absolute deviation = 19.45
Therefore, the mean and the MAD (mean absolute deviation) of the given data are 52 and 19.4.
Learn more about Mean absolute deviation here:
https://brainly.com/question/10528201
x - 2/2 = 3x + 8/4
A. 12
B. -24
C. 16
Answers
x-2/2=3x+8/4
x-1=3x+2
-x. -x
-1=2x+2
-2. -2
-3=2x
÷2. ÷2
-3/2=x
Plz hurry I really need the answer… like now
Answers
Answer:
2700 square feet
Step-by-step explanation:
5+4=9x300=2700
HELPP I HAVE 12 MINUTES LEFTT
Answers
Answer:
6
Step-by-step explanation:
When you need to estimate, if the number is .4 or below, bring it down (1.4 will now be 1.)
This goes for both 1.4
so, 1 + 1.
Next, you have 4.1 (which is also below .5, so .4 or below.)
It is 1 + 1 + 4.
That is 6. Hope this helps a bit ^^ :>
Answer:
(see explanation)
Step-by-step explanation:
Rounding to whole numbers,
1.4 rounds to 1
4.1 rounds to 4.
1+1+4 = 6
However, if you're rounding to the nearest 0.5,
1.4 rounds to 1.5
4.1 rounds to 4.0
1.5 + 1.5 + 4.0 = 7
Noah bought 15 baseball cards for $9.00 assuming each baseball card cost the same amount answer the following questions
Answers
Answer:
Well, each baseball card $1.60.
Step-by-step explanation:
Since, you may just divide the amount of cards to the amount of money required.
The hypotenuse of a right triangle is 7 feet long. One leg is 4 feet longer than the other. Find the lengths of the legs, Round to the nearest tenth of a foot
The length of the shorter leg is ft, and the length of the longer leg is ft.
(Do not round until the final answer. Then round to the nearest tenth as needed)
Help Me Solve This
View any
Answers
Answer:
Shorter leg = 2.5 ft.
Longer leg = 6.5 ft.
Step-by-step explanation:
a^2 + b^2 = c^2
Because the hypotenuse = 7 ft, a^2 + b^2 = 49
To represent the two legs, we can use x and x+4.
x^2 + (x+4)^2 = 49
Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.
Then, using the quadratic formula, we find that x = 2.5.
Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.
3/8(1/2f-4g) help please
Answers
The answer is 3/16f-12/8g
530÷34= ? Write answer as a whole number and remainder.
Answers
Answer:
15 with a remainder of 20
Step-by-step explanation:
hope it helps :)
Answer:
168 and the remainder is 7
Step-by-step explanation:
if is wrong i'm sorry
the 4.1 m of concrete is made into the shape of a cylinder. The base has radios 0.5 metres. work out the height of the cylinder ( photo attached)
Answers
Answer:
5.22m
Step-by-step explanation:
Rearrange the formula - volume = π × r² × h:
h = volume ÷ (π × r²)
volume = 4.1m³r = 0.5Plug in the numbers:
h = 4.1 ÷ (π × 0.5²)
h = 5.22028... ≈ 5.22m
Hope this helps!
Help help help help
Answers
Answer:
Step-by-step explanation:
A(0,4)
B(6,-4)
C(-2,-8)
just multiply every point by 2
Maths Question - Topic Pythagoras
Please answer the question. Awarding 20 points
Answers
Answer:
h= 17.67 cm
Step-by-step explanation:
We have,
h=x
b=16 cm
p=7.5cm
Using Pythagoras Theorem,
h^2=p^2+b^2
h=√(7.5^2+16^2)
h=√(56.25+256)
h=√312.25
h=17.6705970471 cm
The lengths of the sides of a square are multiplied by 3.5. How is the ratio of the areas related to the ratio of the side lengths?
A. The ratio of the areas is the square of the ratio of the side lengths.
B. The ratio of the areas is the same as the ratio of the side lengths.
c. The ratio of the areas is the cube of the ratio of the side lengths.
d. The ratio of the areas is the square root of the ratio of the side lengths.
Answers
Answer:
A The ratio of the areas is the square of the ratio of the side lengths.
Step-by-step explanation:
10 x 3.5 = 35 and would be the same size each
35 x 35 = 1225
Ratio of areas = 10x10 and 10x3.5 x 10 x 3.5 = 100 : 1225 = 4: 49
Therefore just from doing this we can find easily by referring back to ratio above shown.
D IS NOT TRUE This means the ratio of the areas (1225) is the square root of the ratio (sqrt1225=35) of the side lengths (35:35) is not true
sqrt 1225 is 35 and becomes a square root of the area
Where matching this to ratio of sides is not true as 35:35= 1:1 and the ratio to the sides are not the same as ratio of two areas. But when we square we get the answer right.
when we cross multiply (division) we find find the ratio of areas 100:1225 is NOT TRUE AND NOT SAME AS ratio 10:35
We therefore left with DIVIDING THE ratio SIDES AS SIMPLIFIED into the Areas ABOVE to show-
1225/49 = 25 same here we have the area same ratio as
100/4 = 25 same
10:35 = 3.5^2 + 3.5^2 =12.50 + 12.50 = 25
A IS TRUE. as when we square the ratio 1=3.5 and add them together 1=3.5^2 +3.5^2 we get answer = 25
Answer:
A. The ratio of the areas is the square of the ratio of the side lengths. Is correct.
Hope this helps!
Multiply 0.006 by 3.08. Express in standard form
Answers
Answer:
1.848 × 10^-2
Step-by-step explanation:
0.006 = 6 × 10^-3
3.08 = 3.08 × 10^0 (10^0 is equal to 1)
(6 × 10^-3) × (3.08 × 10^0) = 18.48 × 10^-3 = 1.848 × 10^-2
Write an equation in slope intercept form for a
line that passes through (8,-3) and has a slope
of
2/3
Answers
9514 1404 393
Answer:
y = 2/3x -25/3
Step-by-step explanation:
The slope-intercept form of the equation for a line is ...
y = mx +b . . . . . . for slope m and y-intercept b
Solving for b gives ...
b = y -mx
Using the given values for x, y, and m, we find the intercept to be ...
b = -3 -2/3(8) = (-9 -16)/3 = -25/3
Then the equation of the line is ...
y = 2/3x -25/3
In the number 6855 is the 800 1/10 of 6000
Answers
Answer:
No
Step-by-step explanation: