[tex] \frac{(7 {x}^{2} {y}^{4} ) ^{2} }{49 {x}^{6} {y}^{5} } \\ = \frac{ {7}^{2} {x}^{2 \times 2} {y}^{4 \times 2} }{49 {x}^{6} {y}^{5} } \\ = \frac{49{x}^{4} {y}^{8} } {49 {x}^{6} {y}^{5}} \\ = {x}^{4 - 6} {y}^{8 - 5} \\ = {x}^{ - 2} {y}^{3} \\ = \frac{y ^{3} }{ {x}^{2} } [/tex]
Answer:
[tex] \frac{y ^{3} }{ {x}^{2} } [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
The 20th term from the end of the AP, 3, 8 , 13,. ..... ,253 is
Given A.P = 3,8,13,...,253
Common difference = 8-3 = 5
The AP from the end = 253, 248,245,...,13,8,3
First term from the end = 253
Common difference = 248-253 = -5
We know that
an = a+(n-1)d
t20 = 253+(20-1)(-5)
→ t 20 = 253 +(19)(-5)
→ t 20 = 253-95
→ t 20 = 158
20th term from the end of the AP = 158
A ladder is 65 inches tall. How tall is it in feet and inches?
1 foot = 12 inches
65 inches / 12 = 5.41 feet
5 x 12 = 60
65-60 = 5
Answer: 5 feet 5 inches
Brent checks the sales records for a random sample of 16 days and finds the mean number of gallons sold is 150 gallons per day; the sample standard deviation is 12 gallons. With 95% confidence, estimate the what is mean number of gallons that Brent should stock daily.
Answer:
[143.61, 156.39]
Step-by-step explanation:
Because the population standard deviation is not available AND the sample size is less than 31, we can use a t procedure here.
Plug these values into your calculator:
Sample mean = 150
Sample size = 16
Standard deviation = 12
Confidence level = 95% = 0.95
and get [143.61, 156.39] as your confidence interval
If a < b then ka < kb
Henry goes to the carnival with 3
friends. They each ride 5 rides at
$5.50 per ride. Two of them buy an
ice cream cone for $2.00 each. Henry
buys a hot dog for $4.00 and his
friend has a hamburger for $3.00.
Each of the 4 friends buys a drink for
$1,75. What is the total amount they
spend at the fair?
Answer:
$5.50 x 5 = $27.5
$27.5 x 4 = 110$
$2.00 x 2 = $4.00
$4.00
$3.00
$1.75 x 4 = 7$
27.5 + 110 + 4.00 + 4.00 + 3.00 + 7 = 155.5
Step-by-step explanation:
can you me as brainliest if its right?\
my first answer was wrong
What is 1 + 1 I need to know.
Answer:
2
Step-by-step explanation:
please mark my answer in brainlist
Answer:
2
Step-by-step explanation:
1+1=2
Solve for x
x/6=10
1) x=10
2) x=60
3) x=4
4) x=16
Answer:
2) x=60
Step-by-step explanation:
x/6=10
multiply both sides by 6
x = 10*6
x=60
hope this helps! :D
have a miraculous day!! <3
Answer:
2) x = 60
Step-by-step explanation:
x/6=10
multiply both side by 6
x = 10*6
x = 60
✌️❤️✌️
Find the percent increase. Round to the nearest percent. From 95 books to 153 books
Answer:
62%
Step-by-step explanation:
(The part/ the whole)× 100
(95/153) = 0.62
0.62×100 = 62%
What is the slope of the line?
1/2 2 1 -2
Answer:
the slope of the line is 2
Step-by-step explanation:
Answer:
The slope of the line is 2.
Step-by-step explanation:
The point where the line crosses the y-axis, also known as the y-intercept, is (0,1). The next clear point is (1,3).
We can use the formula for finding slope here.
[tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]
If we plug in the points, with (0,1) being the first and (1,3) being the second, we'll get this:
[tex]\frac{3-1}{1-0} --> \frac{2}{1} --> 2[/tex]
Therefore, the slope is 2.
Student council raised $670 earlier this year. Then they held a raffle. In total they raised $1,350. Write an equation an solve for the amount raised at the raffle.
Answer:
1,350-670=R
Step-by-step explanation:
R means Raffle
What is the product of 3.4 × 10−14 and 1.8 × 1028? (5 points)
Answer:
1874.4
Step-by-step explanation:
First multiply 3.4 and 10
34
Then subtract 14 from 34
24
Then multiply 1.8 by 1028
1850.4
Lastly add 1850.4 and 24
1874.4
Answer:
7.987
Step-by-step explanation:
Just use your head man
if fifteen families are coming to the picnic and they all split the cost evenly between them how much will each family contribute towards the cost of the shelter
What is the value of X
The answer would be 6 I belive make sure to double check it
Okie help please math math math
Answer:
x = 15
Step-by-step explanation:
The angles shown are supplementary angles. Supplementary angles add up to equal 180°
This means that 2x + 8 + 8x + 22 must equal 180
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
2x + 8 + 8x + 22 = 180
combine like terms : 2x + 8x = 10x and 8 + 22 = 30
10x + 30 = 180
subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150
10x = 150
divide both sides by 10: 10x / 10 = x and 150 / 10 = 15
we're left with x = 15
Answer:
x = 15
Step-by-step explanation:
The angles shown are supplementary angles. Supplementary angles add up to equal 180°
This means that 2x + 8 + 8x + 22 must equal 180
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
2x + 8 + 8x + 22 = 180
combine like terms : 2x + 8x = 10x and 8 + 22 = 30
10x + 30 = 180
subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150
10x = 150
divide both sides by 10: 10x / 10 = x and 150 / 10 = 15
we're left with x = 15
can I have some help?
Answer:
[tex]x = \sqrt{58} [/tex]
Step-by-step explanation:
first, you should draw a line to separate the triangle from the rectangle
You can get the height if the triangle by saying 16-9
This will give you 7
The base of the triangle is 3 because the opposite side is given and the opposite sides of a rectangle are equal
Now that we have the measurements of the triangle we can use the Pythagorean theorem
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
[tex] {x}^{2} = {7}^{2} + {3}^{2} [/tex]
[tex] {x}^{2} = 49+ 9[/tex]
[tex] {x}^{2} = 58[/tex]
[tex]x = \sqrt{58} [/tex]
A yoga studio charges a $180 yearly fee for membership plus $18 for each class. What is the average total cost per class if a studio member takes 75 classes per year? Do not include the dollar sign ($) in your answer.
Answer:
Average total cost per class is 13.5
Step-by-step explanation:
A yoga studio charges a 150 yearly fee for membership plus150yearlyfeeformembershipplus12 for each class.
Yearly charge = 150 $
Charge per class = 12 $
A studio member takes 100 classes per year
Number of class attended by studio member = 100
We need to find average total cost per class for this member for a year.
Total charge = Yearly charge + Number of class attended x Charge per class
Total charge = 150 + 100 x 12
Total charge = 150 + 1200
Total charge = 1350 $
\begin{gathered}\texttt{Average total cost per class = }\frac{\texttt{Total charge}}{\texttt{Number of class attended by studio member}}\\\\\texttt{Average total cost per class = }\frac{1350}{100}=13.5\$\end{gathered}
Average total cost per class =
Number of class attended by studio member
Total charge
Average total cost per class =
100
1350
=13.5$
Average total cost per class = 13.5 $
Study hard
Brainliest please thank you!
Answer:
1,530
Step-by-step explanation:
Total charge = 180 + 75 x 18
Total charge = 150 + 1,350
Total charge = 1,530 $
Is (–3, –2) a solution to the equation y = x + –1?
Answer:
No.
Step-by-step explanation:
We plug in the coordinates and that gives us -2=-3+-1, that is not true, therefore your answer is no.
Brainliest would be appreciated! :-)
Find the distance between (-10.-15) and (12, 18).
Answer:
11[tex]\sqrt3[/tex] or 39.66 units.
Step-by-step explanation:
Use the distance formula!
Answer:
The distance between two points with coordinates (-10,-15) and (12,18) is:
39.66 units (results are rounded to the nearest 100th)Step-by-step explanation:
Hoped this helped.
I apologize if this is incorrect.
PLEASE HELP IM REALLY NEED HELP
Answer:
x=7
Step-by-step explanation:
3.5/3= 1.1666666666
6*1.16666666= 7
x=7
Graph the line with slope -2/3
passing through the point (-4,5).
Answer:
graph this equation
y = -2/3x 7/3
Step-by-step explanation:
y-5=-2/3(x--4)
y-5 = -2/3x - 8/3
y = -2/3x 7/3
need help 5 stars and good rating for math problem
Answer: the 20 ounce box cost less per ounce
Step-by-step explanation:
7. (6 points) For the following geometric sequence, 3 ,- 1, 1/3,-1/9, …
Find the formula for the nth term
Answer:
The formula of the nth term is a₇=48(1/2)⁷⁻¹=48×1/64=3/4
Step-by-step explanation:
Part C
What is the elevation of the deck where Winston ate dinner?
Answer: 10 feet
Step-by-step explanation:
Hailey wacthed 30% of the 120 shows in her favrite seires. How many more epsiodes will she need to wacth to finnish the series? (ik this easy)
Answer:
84
Step-by-step explanation:
Total episodes to watch = (100 - 30)% = 70%
Finding 70% of 120
70/100 × 120
7 × 12
84
Express as a single power.
a) 1
b) -5
c) [tex]\frac{6^3.6^5}{6^2.6^4} = \frac{6^{3+5} }{6^{2+4} } = \frac{6^8}{6^6} = 6^{8-6}=6^2[/tex]
Which of the lines listed below is parallel to the line with the equation y = 3/2x + 5?
use desmos graphing calculator
Lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist estimates there are 8,000 lionfish in a certain bay after the first year.
Part A: Write the explicit equation for f (n) that represents the number of lionfish in the bay after n years. Show all necessary math work. (4 points)
Part B: How many lionfish will be in the bay after 6 years? Round to the nearest whole number and show all necessary math work. (3 points)
Part C: If scientists remove 1,200 fish per year from the bay after the first year, what is the recursive equation for f (n)? Show all necessary math work. (3 points)
There would be 173,535 lionfish after 6 years.
Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:
A) 8000 x 1.67 ^ n = f B) 8000 x 1.67 ^ 6 = X 8000 x 21.691961596369 = X 173,535.692770952 = X C) (8000 - 1200 x 1 ^ n) x 1.67 ^ n = f
Therefore, there would be 173,535 lionfish after 6 years.
Learn more about maths in https://brainly.com/question/25851847
Which of the following statements explains the correct method to solve the equation 7x - 8 = 48?
Answer:
Follow the explanation below.
Step-by-step explanation:
7x = 48 - 8
7x = 40
x = 40/7
x = 5.714
Two pieces of equipment were purchased for a total of $5000. If one piece cost $410 more than the other, find the price of the less expensive piece of equipment
Answer: i have never did a math problem like this before because i'm only in the 2nd semester of 7th grade but i will try, i think it is 2090
Step-by-step explanation: 5000 divided by 2 = 2500. then you do 2500-410. 2500-410= 2090. (i hope this will help you and sorry if i did it wrong) :)
convert 24580 m into km with process
Answer:
24.58 km
Step-by-step explanation:
1 km = 1000 m
1 m = 1 / 1000 km
24580 m
= 24580 / 1000
= 24.58 km