a^m × a^n = a^(m+n)
means that when you take a number, a, multiplied by itself m times, and multiply that by the same number a multiplied by itself n times, it's the same as taking that number a and raising it to a power equal to the sum of m and n.
To prove this, we can verify it numerically:
Let us take,
a = 10
m = 2
n = 5
Now,
10² × 10⁵ = 10²+⁵
100 × 100000 = 10⁷
10000000 = 10000000
Another example,
Let us take,
a = 2
m = 0
n = 3
Now,
2⁰ × 2³ = 2⁰+³
1 × 8 = 2³
8 = 8
find the difference 41 - 275
Answer:
-234
Step-by-step explanation:
Subtracting 275 from 41 would equal -234.
The difference between 41 and 275 is -234.
To find the difference between 41 and 275, we perform subtraction.
Subtraction is the process of finding the difference between two numbers. In this case, we are subtracting 275 from 41, which means we want to find how much smaller 275 is compared to 41.
Let's set up the subtraction:
41
- 275
Starting from the rightmost column, we subtract 5 from 1. Since 5 is greater than 1, we borrow 1 from the tens column, making the ones column 11 - 5 = 6. Then, we move to the tens column and subtract 7 from 4, which is not possible without borrowing from the hundreds column. So, we borrow 1 from the hundreds column, making it 3 - 1 = 2. Now, we can subtract 7 from 12 in the tens column, which gives us 5. Finally, we subtract the 2 in the hundreds column from 2, resulting in 0.
The final result is 234, indicating that 275 is 234 units larger than 41. In other words, the difference between 41 and 275 is 234.
Subtraction is an essential arithmetic operation used in various real-life situations, such as calculating changes in quantities, measuring distances, determining differences between values, and more. Understanding subtraction helps us comprehend the relationships between numbers and enables us to solve a wide range of mathematical and practical problems.
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please I need the answer to this
The equation is y=1x-2
Step-by-step explanation:
Is this the answer u needed?
What is the percent of change if 18 is increased to 45?
45 - 18 = 27, and 27/18 = 1.5.
So 45 is a 150% increase from 18.
If P = {1, 3, 6, 7, 9} and Q = {1, 2, 4, 5, 6, 7, 8}, find P ∪ Q.
Solve for p.
P=?
12 = p
11 12
Answer:
p = 144/11
Step-by-step explanation:
12/11 = p/12
~Simplify
12/11 = 1/12p
~Multiply 12 to both sides
144/11 = p
Best of Luck!
A copy machine can print 480 copies every 4 minutes. For each question, explain or
show your reasoning.
A teacher printed 720 copies. How long did it take to print?
6 min
8 min
12 min
Help!!
Steve leaves his cabin and walks 32 km due south. He then turns and walks 24
km due east. How far does Steve have to walk to return directly to the cabin?
Nidhi is facing the garden. She makes a 3/4 turn anticlockwise. She is facing _________ now
Answer:
to the right side of where she was facing
Step-by-step explanation:
Find the discriminant.
4y? – 3y + 3 = 0
A nut-raisin mix costs $5.26 per pound. Rashid buys 15.5 pounds of the mix for a party. Rashid’s estimated cost of the nut-raisin mix is
$16.
$22.
$61.
$80
Answer: $80
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
i took the test
A magazine subscription costs $29.88 for 12 issues or $15.24 for 6 issues. Which subscription costs more per issue? How much more? *
Answer:
The magazine that cost $15.24 for 6 issues cost more by $0.60/60 cents.
Step-by-step explanation:
Since $15.24 is 6 issues each and you need to even out the issues add $15.24+$15.24 then you would get $30.48, because its 15.24 each 6 add them both and it would be 12 issues. And the first issue $29.88 for 12 issues is only $29.88 while the other is $30.48 so the one with 6 issues/the second cost more than the first.
60 cents more because 29.88+60=30.48.
PLEASEEE HELP PICTURE ABOVEEE ASIWNS ASAP
Answer:
B
Step-by-step explanation:
Jane made $288 for 18 hours of work. At the same rate, how much would she make for 11 hours of work?
Answer:
176$
Step-by-step explanation:
the area of square base of a water tank is 4m² and the height of the tank is 2.5m. find the capacity of the tank.in litre
Answer:
10000L
Step-by-step explanation:
Given parameters:
Area of square base = 4m²
Height of tank = 2.5m
Unknown:
Capacity of tank = ?
Solution:
The capacity of the tank is the volume of tank;
Volume of the tank = base area x height
Insert the parameters and solve;
Volume of the tank = 4 x 2.5 = 10m³
Now convert m³ to Litre;
1m³ = 1000L
10m³ will be 10 x 1000 = 10000L
PLEASE HELP ILL MARK BRAINLIEST
Answer:
y=x-3
Step-by-step explanation:
Heeeeelllpppp
-6xy^5 - 15x^4 + 9x
Answer:
-3x(2y^5+5x^3-3)
Step-by-step explanation:
-6xy^5 - 15x^4 + 9x
-6xy^5-15xx^3+9x
2*3xy^5+5+3xx^3z+3*3x
Factor:
-3x(2y^5+5x^3-3)
A rectangular painting's width is 6 less than twice its length.
Given that the perimeter of the painting is 84 inches, select all statements that are true.
Answer: Paintings length is 16, width is 26, area is 416 square inches.
A worker on a scaffolding 75 ft above the ground needs to lift a 500 lb bucket of cement from the ground to a point 30 ft above the ground by pulling on a rope weighing 0.5 lb/ft. Choose the integral needed to calculate how much work is required?
Answer:
W = 15900 ft.lb
Step-by-step explanation:
From the given information.
Consider y to be the distance from the ground towards the bucket of the cement.
At height y, suppose the bucket is lifted by Δy.
Then, the workdone can be = 500Δy + 0.5(75 - y) Δy
where;
The bucket of the cement = 500Δy
The remaining of the rope = 0.5(75 - y) Δy
However; the workdone (W) can be calculated as:
[tex]W = \int^{30}_{0} \ 500 \ dy + \int^{30}_{0} \ 0.5 (75-y ) \ dy[/tex]
[tex]W = 500 \times 30 + 0.5 \bigg(75 \times 30 - \dfrac{1}{2} \times 30^2 \bigg )[/tex]
W = 15000 + 0.5 ( 2250 - 450)
W = 15000 + 900
W = 15900 ft.lb
The required work is [tex]15,900 \ ft-lb[/tex].
Integral Calculus:Integral Calculus is the branch of calculus where we study integrals and their properties. Integration is an essential concept which is the inverse process of differentiation. Both the integral and differential calculus are related to each other by the fundamental theorem of calculus.
Let [tex]x[/tex] be the distance from the ground to the bucket of cement.
At the height [tex]x[/tex], if the bucket is lifted by [tex]\Delta x[/tex], the work done is,
[tex]500\Delta x+0.5\left ( 75-x \right )\Delta x[/tex].
(See the attached figure below).
The [tex]500\Delta x[/tex] term is due to the bucket of cement; the [tex]0.5\left ( 75-x \right )\Delta x[/tex] term is due to the remaining cable.
So, the total work, [tex]W[/tex], required to lift the bucket is,
[tex]W=\int_{0}^{30}500dx+\int_{0}^{30}0.5\left ( 75-x \right )dx \\ =500.30+0.5\left ( 75.30-\frac{1}{2}30^{2} \right ) \\ =15,900 \ ft-lb.[/tex]
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What is 18/25 simplified and can it be simplified?
Answer:
That is a simplified as it can get.
Step-by-step explanation:
Answer:
it is already simplified so no it cant be simplified
Step-by-step explanation:
18 is an even number 25 is an odd number
A supermarket is having a sale on canned foods. The sale includes 10 cans of beans for $12.50. What is the unit price per can of beans? A $0.80 C $1.75 B $1.25 D $2.25
(please show steps if you can)
thanks
Answer:
B. $1.25
Step-by-step explanation:
Sorry I didn't show the steps, but I hope this helps!
Answer:
10 cans of beans=12.50
Price per can of beans=12.50÷10
=1.25
Answer is B. 1.25
16 points I need help !!!!!!!!!!!!!!!!!!!!!!!!!!!Which points are plotted correctly on their accompanying number line? Check all that apply.
Point: Negative StartFraction 7 Over 8 EndFractionA number line going from negative 2 to positive 2 in increments of 1. There are 8 equal spaces between each number. A point is 1 mark to the right of negative 1.
Point: Negative one-halfA number line going from negative 2 to positive 2 in increments of 1. There are 8 equal spaces between each number. A point is half-way between 0 and 1.
Point : Negative one-fourthA number line going from negative 2 to positive 2 in increments of 1. There are 8 equal spaces between each number. A point is 2 spaces to the right of negative 1.
Point: Negative one-eighthA number line going from negative 2 to positive 2 in increments of 1. There are 8 equal spaces between each number. A point is 2 spaces to the right of negative 1.
Point: Negative 1 and three-fourths A number line going from negative 2 to positive 2 in increments of 1. There are 8 equal spaces between each number. A point is 2 spaces to the right of negative 1.
Point: Negative 1 and one-fourth A number line going from negative 2 to positive 2 in increments of 1. There are 8 equal spaces between each number. A mark is 2 spaces to the left of negative 1.
Answer:
d f i think
Step-by-step explanation:
Answer:
The correct answer is A, D, and F.
Step-by-step explanation:
-7/8, -1/8, and -1 1/4
If Oscar the ostrich travels 74 miles in 2 hours on land, how fast does he travel?
A.
38 mph
B.
148 mph
C.
35 mph
D.
37 mph
Answer:
the answer is d
Step-by-step explanation:
bc 74÷2= 37
therefore it is 37 mph
HELPPP!!!!! I WILL GIVE BRAINLIEST
Answer:
reflexive property
Step-by-step explanation:
Answer:
reflexive
Step-by-step explanation:
pls help and tell me what goes where!
Determine two coterminal angles (one positive and one negative) for the given angle.
-36
Jill worked five hours less than three times the number of hours that Karen worked. Which of the following equations represents the relationship between j, the number of hours that Jill worked and k, the number of hours that Karen worked?
Answer:
k x j5=x
Step-by-step explanation:
7th grade math help me pleasee
Answer:
Step-by-step explanation:
a. (-6/2)*(1/3)*(36/2)=-18; b. (125/100)*(-2/2)
Help please...............
PLZ HURRY!!!
What is the equation of the line in slope-intercept form?
Line on a coordinate plane. The line runs through points begin ordered pair negative 5 comma 0 end ordered pair and begin ordered pair 0 comma 3 end ordered pair.
Enter your answer in the boxes.
y =
x +
Answer:
y = [tex]-\frac{3}{5}[/tex] x + 3
Step-by-step explanation:
To find slope you need to take y2-y1 divided by x2-x1. First to the subtraction. Y2 is 3 in this problem and y1 is 0. X2 is 0 and x1 is 5. 3-0 = 3 and 0-5 = -5. Now we have the equation [tex]-\frac{3}{5}[/tex] as the slope.
Slope-intercept form is y= mx+b so plug in [tex]-\frac{3}{5}[/tex] to get y = [tex]-\frac{3}{5}[/tex] x + b
The y-intercept is the coordinate where the x is equal to zero. (0,3) is the coordinate that meets this requirement. The y coordinate is 3 so that is the y-intercept. Plug that in to y = [tex]-\frac{3}{5}[/tex] x + b to get = [tex]-\frac{3}{5}[/tex] x + 3.
The other person was parcially correct, but here is the right answer:
Hey, we are doing a review but I forgot how to set up proportions. Please help me!!
