Answers
Answer:
a) 4cd²
b) 3a²b³
Step-by-step explanation:
a) 8c⁴d⁵/2c³d³
1: you would divide the 8 by 2
2: subtract the exponents on c so it would be 4-3 = 1
3: subtract the exponents on d so it would br 5-3 = 2
4: put it all together so it would be 4c¹d² but you dont need the 1 above c
b) 1: divide 9 by 3
2: subtract exponents on a so it would be 3-1 = 2
3: subtract exponents on b so it would be 5-2 = 3
4: put it all together so it would be 3a²b³
hope this helped!! :)
Answer:
a. 4cd² b. 3a²b³
Step-by-step explanation:
[tex]\frac{8c^4d^5}{2c^3d^3}[/tex]
= [tex]\frac{8}{2} ( \frac{c^4}{c^3} )(\frac{d^5}{d^3})[/tex]
= [tex]\frac{4}{1} (\frac{c}{1}) (\frac{d^2}{1} )[/tex] Reduce number. Substract exponent largest power
smallest power
= 4cd²
b. [tex]\frac{9a^3b^5}{3ab^2}[/tex]
[tex]\frac{9}{3} (\frac{a^3}{a} ) (\frac{b^5}{b^2} )[/tex]
[tex]\frac{3}{1} (\frac{a^2}{1}) (\frac{b^3}{1} )[/tex] Reduce number. Substract exponent largest power
smallest power
= 3a²b³
Related Questions
good night everyone : )
Answers
Answer:
Good night sagey!!!! sleep well
It is given that 2(3+x)=6+2x this is e so ample of which property
Answers
Answer:
distributive property
Step-by-step explanation:
The distributive property is the one that says a multiplier outside parentheses is equivalent to multiplication of every term inside parentheses.
2(3 +x) = 2(3) +2(x) = 6 +2x
[tex] \sf \: If (3x-1) ^{7} = a _{7} x ^{7} + a _{6} x ^{6} + a _{5} x ^{5}+.... \\ \sf + a₁x + a _{0}, then \: \: a_0 + a₁ + a₂ + a_3 + a_4 + a_5 + a_6 + a7 = [/tex]
a)0
b)1
c)128
d)64
Please solve this for me. Need step-by-step explanation. Spam free answer required. Thank you in anticipation.
Answers
Answer:
hope it helps have a great day
Answer is option C
I added the step by step process in the pic attached, I don't know how to explain it very well but you can use binomial theorem for (3x-1)^7
Then you can add up all the coefficients of the calculated values as the question mentions afterwards a^7 + a^6 +..... which means it only wants you to add up the coefficients of the consecutive x terms, otherwise it would say a^7x^7 + a^6x^6 +..... and so on
Hope this helps :)
The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 7 cm/s. When the length is 13 cm and the width is 10 cm, how fast is the area of the rectangle increasing?
Answers
Answer:
195 square centimeters per second
Step-by-step explanation:
Area growth rate = (9*10) cm^2 per s + (7*15) cm^2 per s = 195 square centimeters per second
14.06 as a mixed number
Answers
Your welcome
14 3/50
Good luck with the rest... I highly reccomend using Math way (spell it together)
What is 1/2 times 3/4 in fraction form?
Answers
Answer:
3/8 is the answer.Step-by-step explanation:
1/2 x 3/4=> 3/8Conclusion:
Therefore, 3/8 is the answer.
Hoped this helped.
Jason likes to play video games. His parents allow him to play
Answers
Answer:
If its for a reasonable time yes, most parents will let their child to play a reasonable time. However, if things get out of control resulting the child being addicted to video games. It is the child's fault and parent's fault
School days: 0 to 60 minutes per day On school days and 2 hours or less on non- school days. There is some advantages in gaming. But in all don't play to much if so, your body will melt. ( not really but melt melt)
14. Janine has job offers at two companies. The Nabisco company offers her a starting salary of $28,000 plus $2,000 for transportation costs with a raise of $3000 each year. The Keebler company offers a starting salary of $36,000 with a $2000 a year raise, After how many years would her salary at Nabisco be greater than Keebler?
Answers
Answer:
eight years
Step-by-step explanation:
at year one: nabisco 30k and keebler: 36k
year two: nabisco: 33k and keebler: 38k
year three: nabisco: 36k and keebler: 40k
year four: nabisco: 39k and keebler: 42k
year five: nabisco: 42k and keeber: 44k
year six: nabisco: 45k and keebler 46k
year seven: nabisco: 48k and keeber 48k
year eight: nabisco: 51k and keebler 50k
5/6 times 2/7 and simplified
Answers
Step-by-step explanation:
⅚ײ/7 = 5/21.
hope this helps you.
Answer: it 5/21
Step-by-step explanation:
this is how i got it
5/6×2/7=
5 × 2/6 × 7= 10/42
= 10 ÷ 2/42 ÷ 2
= 5/21
make t the subject of the formula in the image
Answers
Answer:
t=[tex]\frac{2-3q}{q+4}[/tex]
Step-by-step explanation:
q(t+3)=2-4t
qt+3q=2-4t
qt+4t=2-3q
t(q+4)=2-3q
t=[tex]\frac{2-3q}{q+4}[/tex]
solve pls brainliest
Answers
-scale drawing is a drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount ( called the scale )
-the answer is: scale drawing
On an architect’s drawing of a house, 1 inch represents 7 feet. If the bedroom window is 5 inches long on the drawing, how long will it be in the actual house?
Answers
Work Shown:
1 inch : 7 feet
5*(1 inch) : 5*(7 feet)
5 inches : 35 feet
5 inches on paper correspond to 35 feet in the actual house.
How many feet does each student climb after 10 steps?
Answers
Pilar climb 6.5 feet and Jake climbed 9.5 feet.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
slope of pilar = 3-2/3-1 = 1/2
After 10 steps let the height covered by x.
then, slope= x-2/10-1
1/2 = x-2/ 9
9 = 2x -4
13 = 2x
x= 6.5 feet
now, slope of Jake= 8-5/7-1 = 3/6 = 1/2
After 10 steps let the height covered by y.
then, slope= x-5/10-1
1/2 = y-5/9
2y- 10 = 9
2y= 19
y= 19/2
y= 9.5 feet
Learn more about slope here:
https://brainly.com/question/3605446
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please someone can tell me what is
[tex]a {m \times a {n}^{?} }^{?} ]{?} [/tex]
in an index form?
Answers
theres question marks where the exponent is supposed to go
It takes 1 3/4 cups of cherries to make a cherry pie. Emma wants to make 3 cherry pies. How many cups of cherries will Emma need
Answers
Answer:
5 1/4 please give brainliest
Step-by-step explanation:
1 x 3 = 3 3/4 x 3 = 2 1/4
Answer:
5 1/4 please give brainliest
Step-by-step explanation:
1 x 3 = 3 3/4 x 3 = 2 1/4
Determine the measurement of the missing angle
Answers
Answer:
31
Step-by-step explanation:
Find missing angle of lower triangle first
35+23=58
180-58=122
Because of some geometry rule, the other angle in the upper triangle that is not the ? is also 122
27+122=149
180-149=31
60
60
boys at a summer camp were asked to complete a survey about their favorite outdoor activity.
18
18
boys chose biking and 29
29
boys chose fishing.
The remaining boys did not complete the survey.
Which expression gives the percent of survey participants who chose fishing?
Answers
Answer:
48.3%
Step-by-step explanation:
When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.
So, since our denominator in 29/60 is 60, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:
100 ÷ 60 = 1.6666666666667
Once we have that, we can multiple both the numerator and denominator by this multiple:
29 x 1.6666666666667
60 x 1.6666666666667
=
48.333333333333
100
Now we can see that our fraction is 48.333333333333/100, which means that 29/60 as a percentage is 48.3333%.
An arrow travels north 56 meters in 0.7 seconds. What is its velocity? 39.2 m/s 39.2 m/s north 80 m/s north 80 m/s
Answers
Answer: north 80 m/s
Explanation:
speed = distance/time = 56/0.7 = 80
Recall that velocity is composed of both the speed and the direction. In this case, the arrow is traveling 80 m/s to the north
Which of the following can be a common denominator for the fractions 6/7 and3/4 ? 14, 4, 7, 28
Answers
Evaluate the expression when B=7 c=-7. c-6b
Answers
Answer:
7 - (6 x 7) = -35
Answer:
-7-6(7)= 35
7 - (6 x 7) = 35
A worm wriggled forward
4
5
of an inch in 3 minutes. At that rate, how far would the worm go in 1 minute?
Answers
Answer:
4/15 of an inch
Step-by-step explanation:
=> At that rate, the distance the worm would go in 1 minute is:
D = (4/5)/3 = 4/(5x3) = 4/15 of an inch
Hope this helps
Have a great day
~Zero
Answer:
4/15 of an inch
Step-by-step explanation:
A worm wriggled forward 4/5 of an inch in 3 minutes.
=> At that rate, the distance the worm would go in 1 minute is:
D = (4/5)/3 = 4/(5x3) = 4/15 of an inch
Heather bought 7 cases of water for $38.50. How much did each case cost?
Answers
38.50/7 = $5.50 for each cases of water Heather bought.
Answer:
$5.50 / case
Step-by-step explanation:
Here we're finding the 'unit cost' $38.50 / (7 cases) = $5.50 / case
15% of what is 12? Please
Answers
15*X/100=12
15x=1200
X=1200/15
x=80
See attachment for answer and math work.
1/4 divided by 3 I’m behind and I really just want to get this over with :) plus math is my least favorite subject thanks to my teacher so yeah plz help:)
Answers
Answer:
XD [tex]\frac{1}{12}[/tex] is the answer.
Step-by-step explanation:
So, to divide a fraction with a whole number you'll have to multiply the denominator with the whole number.
Hopes This Helps
Can a shape have the perimeter be the same as the area?
Answers
Answer:
In geometry, area is the 2-dimensional space or region occupied by a closed figure, while perimeter is the distance around a closed figure i.e. the length of the boundary. Two shapes may have the same perimeter, but different areas or may have the same area, but different perimeters.
Step-by-step explanation:
Answer maybe
Step-by-step explanation:
9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint?
Answers
10 minutes ago — 9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint? · 9. 25 students each paid $6.50 to go to the museum ...
I NEED BOTH OF THESE
60 POINTS
asap
Answers
Answer:
107.5
Step-by-step explanation:
20% of 70 = 14
70 - 14 = 66
10% of 45 = 4.5
45 - 4.5 = 41.5
66 + 41.5 = 107.5
Need help due in 1 min!!
Simplify!!
Answers
Answer:
C. 3^9
Step-by-step explanation:
You would simply just add the exponents.
Answer:
3^9
Step-by-step explanation:
5+4=9
Is this a quadratic function? Why or why not?
Answers
Answer:
Not a quadratic function.
Step-by-step explanation:
DefinitionsA function is a relation wherein each input or x-value corresponds exactly to an output or y-value. In other words, a relation is a function if there are no repeating x-values.
Vertical Line Test :A way to determine whether a given graph represents a function is to perform the Vertical Line Test. Using the Vertical Line Test, we must draw vertical lines across the graph. If each of the vertical lines drawn intersects the graph at exactly one point, then the relation is a function.
⇒ The attached screenshot shows that the given graph fails the Vertical Line Test, as each vertical line drawn intersects the graph more than once. This means that those x-values correspond to more than one y-value. Specifically, x = 1 corresponds to the following y-values: y = -1 and y = 1. Hence, the given horizontal parabola is not a quadratic function.
Horizontal Parabola: Not a FunctionThe given graph represents a horizontal (or sideways) parabola.
The vertex form of the horizontal parabola is: x = a(y - k)² + h.
where:
a = Determines the direction of the graph's opening.
a > 0, the graph of the parabola opens to the right.a < 0, the graph of the horizontal parabola opens to the lefty = k is the horizontal axis of symmetry
k = determines the vertical translation of the graph
h = determines the horizontal translation of the graph
Equation of the Horizontal Parabola in Vertex Form:The vertex of the given graph occurs at the point of origin, (0, 0).
Let's use one of the given points on the graph, (1, 1), and substitute these values into the vertex form to solve for a :
x = a(y - k)² + h
1 = a(1 - 0)² + 0
1 = a( 1 )²
1 = a
Equation of the given horizontal parabola in vertex form:
⇒ x = (y - 0)² + 0 or x = y²
It is evident that in the vertex form of a horizontal parabola, the variable, y, is squared.
This implies that each x-values on the graph have more than one corresponding y-values:x = 1 has two y-values: y = -1, and y = 1.
x = 4 has two y-values: y = -2, and y = 2.
Thus, by definition of function, the given horizontal parabola is not a quadratic function, as it fails the vertical line test.
Julio just bought a $267,900 house. He had a 20 year mortgage with a fixed rate of 5. 875%. Julio’s monthly payments are $1,558. 9. What percent of the purchase price was Julio’s down payment? a. 13% b. 15% c. 18% d. 20%.
Answers
Julio's down payment was 22.08% of the purchase price.
Given that Julio just bought a $ 267,900 house, and he had a 20 year mortgage with a fixed rate of 5.875%, and Julio's monthly payments are $ 1,558, to determine what percent of the purchase price was Julio's down payment the following calculation must be performed:
(267,900 x 1.05875) - (1558 x 12 x 20) = X
582,682.50 - 373,920 = X
208,762.50 = X
267,900 = 100
208,762.50 = X
208,762.50 x 100 / 267,900
77.92 = X
100 - 77.92 = 22.08
Therefore, Julio's down payment was 22.08% of the purchase price.
Learn more about maths in https://brainly.com/question/25917920