Answers
Answer:
a^7/8^2
Step-by-step explanation:
Here, we want to write the expression using only positive exponents
An important rule for indices to use here is that;
a^-b = 1/a^b
thus;
8^-2 = 1/8^2
So we have;
1/8^2 * a^7
= a^7/8^2
Related Questions
You're planning on making 7 meatloafs for a party. You go to the store to buy breadcrumbs, and see they are sold by the canister. How many canisters do you need to buy? First, determine what information you need to answer this question, then click here to display that info (along with other info). How much breadcrumbs does the recipe call for? It calls for 1 1/4 cups of breadcrumbs. How many meatloafs does the recipe make? It makes 1 meatloaf. How many people can 1 meatloaf feed? It says it serves 8. How big is the canister? It is cylindrical, 3.5 inches across and 7 inches tall. What is the net weight of the contents of 1 canister? 15 ounces. How much does a canister cost? $2.19 How much does a cup of breadcrumbs weigh? I'm not sure, but maybe something from the nutritional label will help. Nutritional label showing the serving size is 1/3 cup (30g), and there are about 14 servings per container.
Answers
1 3/4 cups → 7/4 cups per meatloaf
7 cups/4 * 1 meatloaf * 7 meatloafs = 49/4 cups of breadcrumbs needed in total.
Now let's find out how many cups are in a canister:
1/3 * 14 = 14/3 cups (we're given 1/3 a cup is a single serving size, and each canister holds about 14 servings)
Here's the algebraic way of solving:
14/3 n ≥ 49/4, where n is the number of canisters needed. I'm using ≥ because we cannot buy only part of a canister. Multiply both sides by 3/14:
14/3 n * 3/14 ≥ 49/4 * 3/14
We can factor out a 7:
n ≥ 7/4 * 3/2
n ≥ 21/8 → 2 5/8
Rounding up, you're going to need three canisters:
28/3 (2 canisters) < 49/4 (needed) < 42/3 (3 canisters)
9 1/3 < 12 1/4 < 14
A city received 2 inches of rain each day for three days The meterorologist said that is the rain had been snow each inch of rain would have been 10 inches of snow How much snow would that city have received in the three days
Answers
9514 1404 393
Answer:
60 inches
Step-by-step explanation:
The total amount of rain received was ...
(2 in/day)(3 day) = 6 in
The conversion factor for snow is (10 in snow)/(1 in rain), so the equivalent is ...
(6 in rain) × (10 in snow)/(1 in rain) = 60 in snow
The city would have received 60 inches of snow.
On a shelf there are 60 novels and 20 poetry books. What is the probability that person A chooses a novel and walks away with it and then person B walks up shortly after and picks another novel?
Answers
What is the slope of the line in the graph?
-4/3
-3/4
3/4
4/3
Answers
Which three statements are true about the correlation shown by this scatter plot?
A. The correlation coefficient is approximately 0.96
B. The line of best fit can be used to make accurate predictions from the data.
C. The correlation coefficient is approximately 0.33.
D. The correlation coefficient indicates a strong positive correlation.
E. The line of best fit cannot be used to make accurate predictions from the data
F. The correlation coefficient indicates a weak positive correlation.
Answers
Answer:
A,C nd E
Step-by-step explanation:
The three statements are true about the correlation shown by this scatter plot are;
A. The correlation coefficient is approximately 0.96
C. The correlation coefficient is approximately 0.33.
E. The line of best fit cannot be used to make accurate predictions from the data
What is correlation?Correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when other data value is increased or decreased respectively.
The correlation coefficient is the degree of association between two quantities in terms of linear relation.
The range of correlation coefficient is -1 to 1
The correlation is -1, then that means as the one quantity increases, the other quantity decreases (linearly)
We can conclude that the correlation coefficient is approximately 0.96
The correlation coefficient is approximately 0.33.
The line of best fit can't be used to make accurate predictions from the data
Learn more about correlation coefficient here:
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Draw an area model to solve 774 divided by 3
Answers
Which relation is a function?
o {(-4,5), (0, 2), (2,5)}
o {(2,5), (2, 6), (2, 7)}
O {(3, 2), (5, 7), (3,-2)}
O {(4,3), (4,4),(4,5)}
Answers
Answer:
Hi! The correct answer is o {(-4,5), (0, 2), (2,5)}!
Step-by-step explanation:
~To find a function look at the x values, if the x values don't repeat then it is a function~
tell me ur white with out saying ur white
Answers
Typing this as an actual answer this time smh:
My house is still decorated for christmas
Answer:
im not black, im the opposite
GRAPH MATH PROBLEM PLEASE HELP!!
Answers
Answer: vertex:(3,5)
y intercept: (0,-4)
Step-by-step explanation:
Please, Need Help ASAP!!
Answers
Answer:
I think it's A I'm not sure
2 + yx; use x = 6, and y = 5
Answers
Answer:
answer: 32
Step-by-step explanation:
2+5*6
=32
please solve the logarithmic equation and show your work. log3(2x-5)=2
Answers
1- determine the defined rang=> log3(2x-5)=2,x>5/2
2-convert it into exponential form using (log'a'(x)=b is equal to x=a exponent b)=
2x-5=3 with exponet 2
3-evaluate = 2x-5=9
-> 2x=9+5
2x=14
X=7
Hope this helps!!
Which of the following represents a function?
Answers
Answer:
A.
Step-by-step explanation:
in order for a function to be a function, one input must only have one output.
We see that in option B, -1 has two outputs (10, 18)
In option c, we see that -4 has two outputs (2, -2)
In option D, we see that -3 has two outputs (5, 0)
This means A is the correct option because each input has only one output.
The answer has to be a proper fraction a integer or a mixed number.
Answers
Step-by-step explanation:
Number of bushels after 5 days
= 120 - 5(16.75)
= 36.25 = 36 1/4 bushels.
help a brother out ya boy is lazy and don't wanna work.
Answers
Answer:
10
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
What are the next three terms of the geometric sequence 32, -16, 8, …?
Answers
Answer:
-4, 2, -1
Step-by-step explanation:
everything is being multiplied by -1/2
32 × -1/2 = -16
-16 × -1/2 = 8
So 8 × -1/2 = -4
PLZ HELP ASAP!!!!
expand the polynomials and simplify:
(1/4m-2n)^2
Answers
Answer:
1/16m^2 -2*1/4m*2n+4n^2
If you want to write it in more simple picture :
1/16m^2 -mn +4n^2
Answer:
[tex]\left(\frac{1}{4}m-2n\right)^2=\frac{m^2}{16}-mn+4n^2[/tex]
Step-by-step explanation:
Given the polynomial
[tex]\left(\frac{1}{4}m-2n\right)^2[/tex]
Expanding and simplifying
[tex]\left(\frac{1}{4}m-2n\right)^2[/tex]
as 1/4 = 4/m, so
[tex]=\left(\frac{m}{4}-2n\right)^2[/tex]
Apply perfect square formula: [tex]\left(a-b\right)^2=a^2-2ab+b^2[/tex]
[tex]=\left(\frac{m}{4}\right)^2-2\cdot \frac{m}{4}\cdot \:2n+\left(2n\right)^2[/tex]
simplifying
[tex]=\frac{m^2}{4^2}-mn+2^2n^2[/tex]
[tex]=\frac{m^2}{16}-mn+4n^2[/tex]
Therefore,
[tex]\left(\frac{1}{4}m-2n\right)^2=\frac{m^2}{16}-mn+4n^2[/tex]
Aubree invested $16,000 in an account paying an interest rate of 5.6% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $45,600?
Answers
Answer:
t=18.7
Step-by-step explanation:
After 19.2 year the account reach $45,600.
What is Interest?The cost of borrowing money is called interest, and it is typically stated as a percentage, such as an annual percentage rate (APR). Lenders may charge interest to borrowers for using their funds, or borrowers may charge interest to lenders for using their funds.
We have,
P =$16, 000
R= 5.6%
Future value = $45, 600.
Now, using
16,000 (1 + 5.6%[tex])^x[/tex] = 45,600
(1 + 5.6%[tex])^x[/tex] = 2.85
Taking log on both side we get
x log (1.056) = log (2.85)
x= 19.2
Thus, the time taken is 19.2 years.
Learn more about Interest here:
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The owner of the theater where the ticket price for an adult is $10 and the ticket price for a child is $7 wants to make at least $300 when a movie is shown. Choose the inequality that shows the numbers of tickets that must be sold.
A. 10x + 7y > 300
B. 10x + 7y < 300
C. 10x + 7y ≥ 300
D. 10x + 7y ≤ 300
Answers
Answer:
A
Step-by-step explanation:
Can someone please answer quick there’s a math test and I only have one minute to answer this question please it’s my last question.
Answers
Answer:
The equation of the line in slope-intercept form is:
y = 3/5x + 5
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptTaking two points
(-5, 2)(5, 8)Taking two points (-5, 2) and (5, 8) to determine the slope
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-5,\:2\right),\:\left(x_2,\:y_2\right)=\left(5,\:8\right)[/tex]
[tex]m=\frac{8-2}{5-\left(-5\right)}[/tex]
Refine
[tex]m=\frac{3}{5}[/tex]
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 5
Thus, the y-intercept b = 5
now, substituting b = 5 and m = 3/5 in the slope-intercept form of the line equation
y = mx+b
y = 3/5x + 5
Therefore, the equation of the line in slope-intercept form is:
y = 3/5x + 5
what's 5x+y=3 written in y=mx+b form
Answers
Answer:
y=-5x+3
Step-by-step explanation:
5x+y=3
sub 5x from each side
y=-5x+3
All the students in the 6th grade purchased
their lunch or brought their lunch from
home on Friday. 24% of the students
purchased their lunch and 190 students
bought their lunch from home. How many
total students are in 6th grade?
Answers
Answer:
236
Step-by-step explanation:
24%=.24
.24x190=46
46+190=236
GUYS I NEED THIS ANSWERED PLEASE ASAP
What is the y intercept of the following equation 3y-5x=-15
It has to look like this
(0,0)
Answers
Answer:
(0,-5)
Step-by-step explanation:
This is the y intercept I graphed it
Answer:
(0,-5)
Step-by-step explanation:
3y-5x=-15
Add 5x on both sides
3y=5x-15
Divide each side by 3
y=5/3x-5
y=mx+b
b is the y-intercept
b=-5
Therefore (0,-5) is the answer
What is the distance between the points? Round to the nearest tenth if necessary
Answers
Answer:
5
Step-by-step explanation:
Pythagorean Theorem States: [tex]x^{2} +b^{2} = c^{2}[/tex]
[tex]3^{2} + 4^{2} = c^{2}[/tex]
9+16=25
[tex]\sqrt{25}[/tex]=5
Jose rides his bike to school every day. It takes him 11.7 minutes to ride from home to school. When he rides from school to home, it takes him 2.2 more minutes. How many minutes does Jose ride his bike every day?
Answers
Answer:
25.6 minutes
Step-by-step explanation: add 11.7 and 2.2 then add 11.7 again
Melissa has six sets of card matches. She drops the cards and must find their match again. Record your results below.
Answers
Answer:
there is no work?
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please help me this is due today
Answers
Answer:
1. 15 (A)
2. 12 (G)
Step-by-step explanation:
1. We can make an equation out of this...
3x+3=48
x is the age of Geoff which is what we are trying to find out
We have to add 3 to both sides of the equation
3x+3=48
-3 -3
________
we end up with 3x=45
we then have to divide 3 by both sides because its the opposite of
multipling
3x=45
_____
3
we get x=15
2. We can write a problem statement
(2 x 9)-6=?
multiply 2 and 9 FIRST
18-6=?
your answer is 12
Your Welcome! Have a great rest of your day! :)
Can somebody answer this?
Answers
Answer:
c. m
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
It is wise to remember Slope-Intercept Form as it tell us how to graph a linear equation and tells us specific things about the line itself.
Answer:
the slope of the line is m
Step-by-step explanation:
why m?
because as you see in the equation
y=mx+b this means y-b/x = m
as you know slope is ∆y/∆x =m
it is the same as the first one .
multiply choice question! which one?
Answers
Step-by-step explanation:
the option that you've chose.
it's the correct answer!
have a good day :)
Answer:
The answer is D. number 4.
What is the equation of a line that is parallel to 2x +3y = 3 and passes through the point (3, -4) ?
Answers
Answer:
2x + 3y = -6
Step-by-step explanation:
The equation of the new line will be identical to that of the given line except that the constant term will differ.
Start with the given 2x + 3y = 3 and replace x with 3 and y with -4. We get:
2(3) + 3(-4) = C, and C = 6 - 12 = -6
The equation of the new line is therefore 2x + 3y = -6