Answers
Answer:
1
Step-by-step explanation:
when dividing numbers with exponents with the same base, subtract the exponents.
[tex]\frac{8^{7} }{8^{7} }[/tex]
7 - 7 = 0
[tex]\frac{8^{7} }{8^{7} }[/tex] = [tex]8^{0}[/tex]
anything to the power of 0 is 1
[tex]8^{0}[/tex]= 1
Answer:
1
Step-by-step explanation:
Any number divided by itself equals 1 with the exception of 0 since 0/0 is undefined.
8^7 is not equal to zero, so without doing any calculations or using any other rules, we know that
8^7/8^7 = 1
We can use the rule of exponents for dividing powers.
Rule:
[tex] \dfrac{a^m}{a^n} = a^{m - n} [/tex]
Here we have a = 8, m = 7, and n = 7.
Applying the rule, we get
[tex] \dfrac{8^7}{a^7} = 8^{7 - 7} = 8^0 [/tex]
Another rule of exponents:
[tex] a^0 = 1 [/tex]
We the zero power rule now:
[tex] 8^0 = 1 [/tex]
Therefore,
[tex] \dfrac{8^7}{a^7} = 1 [/tex]
Answer: 1
Related Questions
Help ASAP I’ll mark you as brainlister PLEASE!!’
Answers
Answer:
A = 76.8 yd²
Step-by-step explanation:
The area (A) of a regular polygon is calculated as
A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )
Here p = 8 × 4 = 32 yd and a = 4.8 yd , then
A = [tex]\frac{1}{2}[/tex] × 32 × 4.8 = 16 × 4.8 = 76.8 yd²
The subtotal of your computer purchase was $398.50. If the sales tax rate is 7.25%, how much will you pay in tax for the computer?
I will Mark Brainliest
The answer is NOT 54.97
Don't forget to convert the percent into a decimal.
Answers
Answer:
Amount of tax = 26.93 (Approx.)
Step-by-step explanation:
Given:
Cost of computer = $398.50
Sales tax rate = 7.25% = 0.0725
Find:
Amount of tax
Computation:
Amount of tax = [Cost of computer x Sales tax rate] / [1+Sales tax rate]
Amount of tax = [398.50 x 0.0725] / [1+0.0725]
Amount of tax = 26.93 (Approx.)
348.25x +5.5 ≤ 1,000
Answers
Answer:
X ≤ 2.86
Step-by-step explanation:
The coldest temperature ever recorded in New York City was -15 degress fahrenheit on February 9, 1934. The next day, the temperature rose 42 degrees fahrenheit. Write an expression for the temperature on February 10.
Answers
Answer: (-15+42=) or -15+42=
Explanation:
The population of a town is decreasing at a rate of 3.2% per year. In 2015, there were 14,250 people. What is the first year that the population will be less than 10,000?
А
2026
B
2020
С
2016
D
2025
Answers
you would set up an equation like this
14,250 x .032
this will give you how much the population is decreasing per year. Which is 456 people per year.
You then take 2015 and find the difference between that number and 2025 and do it with all of the other years too.
For example 2025-2015 is 10 years
You then take 10 x 456 to tell you how much the of population you lost in those 10 years. You will then take that number which is 4,560 and do 14,250-4,560 to get 9,650.
one of the acute angles in a right triangle has a measure of 34.6 degrees. What is the measure of the other acute angle
Answers
Answer:
55.4
Step-by-step explanation:
The sum of the angles of a triangle is 180
If we have a right triangle, one angle is 90
The other two angles must add to 90 degrees
Let the unknown angle be x
34.6 + x = 90
Subtract 34.6 from each side
34.6+x-34.6 = 90-34.6
x =55.4
Solve for X! 30 points! Please help!
Answers
X=12
Hope this helps!
A pachyrhinosaurus weighed approximately 4 tons and( traveled in herds but that does not matter)what would the weight of 8 pachyrhinosaurus have been in pounds?
Answers
Answer: [tex]70,547.84\ \text{Pounds}[/tex]
Step-by-step explanation:
Given
The weight of a Pachyrhinosaurus is 4 tons
We know, [tex]1\ \text{ton}=2204.62\ \text{Pounds(lbs)}[/tex]
[tex]\therefore \text{weight of 8 pachyrhinosaurus is} \\\\\Rightarrow 8\times4=32\ tons\\\\\Rightarrow 32\ tons\approx 70,547.84\ \text{pounds}[/tex]
Ursula interviewed 75 people to see if they liked reading comic books. 15 of the people surveyed were males. 32 females liked comic books, and nine males liked comic books. What is the conditional frequency that a person does not like comic books given that the person is a male?
Answers
Answer:
40% or 0.4 (doesn't matter which you put they're the same)
Step-by-step explanation:
60 female
6/15
Find the total surface area of a cylinder. Use 3.14 for pi
1. 201.42 m
2. 405 m
3. 414.19 m
4. 374.1 m
5. 351.68 m
Answers
Answer:
5
Step-by-step explanation:
area of a cylinder;
[tex]2\pi.r ^{2} + 2\pi.rh[/tex]
[tex] = 2\pi.r (r +h)[/tex]
[tex] = 2 \times 3.14 \times 4 \times (10 + 4)[/tex]
[tex] = 351.68[/tex]
PLS HELP!!! TIMED!!!! I need a step by step explanation of how to divide 93726 by 4!!!!
Answers
Answer: the answer is 23434
Step-by-step explanation:first divide 4 by 9 which goes only once, then you would then have 13 which would go only 3 times so 12 minus 13 which is 1 and then goes with 7 to make 17 which means it goes in only 4 times which is 16 meaning the answer is 1 again and then goes with 3 to make 13 and 4 goes in 3 times with 13 to make 12 and then you get 1 which goes into 6 to make 16 and then 4 goes into 16 4 times and then you would get an answer of 23434
3. ALGEBRA Nancy Boone's new automobile had an MSRP of
$27,853.00. The dealer prep charge was $278.50 and the title ſee
was $25.00. Options totaled $2,375,50. Find the sales tax rate,
to nearest hundredth percent iſ the total cost was $32 591.22
and the sales tax applied to everything but the title fee.
Answers
Answer:
The tax rate is approximately 6.75%
Step-by-step explanation:
In the question it is required to find the amount added to the total cost as tax
The given parameters are;
The Manufacturer's Suggested Retail Price, MSRP, of the automobile, MSRP = $27,853.00
The dealer prep charge, PPC = $278.50
The title fee, T = $25.00
The cost of the options added (leather, fridge, etc.), Op = $2,375.50
The total cost, C = $32,591.22
Let 'x' represent the the tax rate,
Therefore, we have;
32,591.22 = x × (27,853 + 278 + 2,375.5) + 27,853 + 278 + 2,375.5 + 25
32,591.22 = 30,506.5·x + 30,531.5
32,591.22 - 30,531.5 = 30,506.5·x
∴ 2,059.72 = 30,506.5·x
x = 2,059.72/30,506.5 = 0.06751741432 ≈ 0.0675
The tax rate, x ≈ 0.0675 = 6.75%
what is the equation of the line that passes through the point (3,-8)and has a slope of 0
Answers
Answer:
y = -8
Step-by-step explanation:
no slope so y is always the same, the y value is -8 so y = -8
❌❌❌WILL GIVE BRAINLIEST
Use three different values of n to demonstrate that 2n + 3n is equivalent to 5n.
Answers
Answer: n=1,2,3
Step-by-step explanation: if we plug in these numbers 2*1+3*1=5*1 this works. If we do this for 2 then we have 2*2+3*2=10 and 5*2= 10 this also works. The same thing with 3. 2*3+3*3=15 5*3=15
Hope this helps!
if 60 ice cream cones are served in one day,how many would you expect to be waffle cones with vanilla ice cream and rainbow sprinkles
Answers
You should be expecting 10 each day and it goes for all of them as well because there are only 6 scenarios so 6 x 10=60
In a recent survey of 700 people, 15% said that red was their favorite color. How many people said that red was their favorite color?
Answers
Answer:
Answer: 105
Step-by-step explanation:
In a recent survey of 700 people, 15% said that red was their favorite colour. 105 people said read was their favorite colour.
Answer:
105
Step-by-step explanation:
Which number best represents a depth of seven hundred and five-tenths meters below the ground?
Answers
Answer:
-700½ meters or -700.5 meters
Step-by-step explanation:
Usually, the depths below the ground are denoted by the minus sign.
Seven hundred and five-tenths meters mean 700+(5/10) which is equal to 700+1/2. So, the answer becomes -700½ meters or -700.5 meters.
A man saves 8% of his salary every mon. If he saves 288
month, what is his salary?
Answers
Answer:
New monthly salary: $264.96
Step-by-step explanation:
you would first change your percent into a decimal.
our given percent is 8% = 0.08
then after that multiple by the original principal
288 x 0.08
this equation will give you 23.04
next you would then have to subtract the given product from by the original principal once again.
288-23.04
this equation will then give you your sum of $264.96
as his new monthly salary.
Identify the expression equivalent to 16x + 24y
1. 2 (8x + 24y)
2. 8 (8x + 3y)
3. 8 (2x + 3y)
4. 4 (2x + 6y)
Answers
I hope it helps you out
(x + 3)(x -4) simplify
Answers
Answer:
your answer is x^2 - x - 12
Answer:
x ^ 2 - x - 12
Step-by-step explanation:
(x + 3)(x -4)
xx + x(-4) + 3x + 3(-4)
xx - 4x + 3x - 3 x 4
Simplify: xx - 4x + 3x - 3 x 4
Answer: x ^ 2 - x - 12
Can someone help me with this problem ??
Answers
A= 120 because B and A are vertical angles
Y= 22° because 120 +38= 158 and 180-158 = 22°
Answer:
a = 120
b = 120
y = 22
a and b and vertical angles
Step-by-step explanation:
angles A and B are vertical angles so they're equal.
you can find angle b because all the angles in a triangle add up to 180
19 + 41 + B = 180
b = 180 - 19 - 41
b = 120
and since theyre equal, that means
a = 120 as well.
since you know a = 120 you can find y.
120 + 38 + y = 180
y = 180 - 120 - 38
y = 22
1. Which is an exponential equation?
(1) y = x2
(3) y = 2x-3
(2) y =5^x
(4) y = 1/x
Answers
Deepak sold his T.V set for ₹ 14100,losing 6%. For how much did he purchase it?
Answers
Answer:
₹14,946
Step-by-step explanation:
Tv s old for ₹14100
Deepak loses 6%
Purchase cost = Selling price + Loss cost
Purchase cost = ₹14100 + ₹14100(6%)
Purchase cost = ₹14100 + ₹846
Purchase cost = ₹14,946
Which set of numbers is NOT in the solution set of the inequality x < 12
A) {-4, -3, 2, 3, 6}
B) { -1, 3, 5, 7, 9}
C) {1, 9, 10, 15, 17}
Answers
Because 17 is greater than 12
steve walks 3 kilometers a day how many meters does he walk in 3 days??
Answers
Answer:
9,000 m
Step-by-step explanation:
1 km = 1,000 m
3 * 3 = 9 km
9 * 1,000 = 9,000 m
Answer:
9000m in 3 days.
hope it helps.
Use log tables to find the value of 0.8176x13.64
Answers
Answer:
x=11.06
Step-by-step explanation:
IF YOU GET IT RIGHT ILL MARK AS BRANLIST!!! which of the following graphs show a proportional relationship?
Answers
Answer:
Its a and b if you can click them both but its not c
Answer: A
Step-by-step explanation: A goes through the origin (0,0) which makes it proportional
Find the tangent of angle U.
A) 48/55
B) 48/73
C) 55/48
D) 55/73
Answers
Answer:
C. 55/48
Step-by-step explanation:
perpendicular (p) = 55
base (b) = 48
Tangent < U = p /b = 55 /48
In triangle TUV, the tangent of angle U would be tan U = 55/58. Hence option C is true.
Used the formula of the tangent of an angle that states,
Tan θ = Opposite / Base
Given that,
A triangle TUV is shown in the image.
Now by definition of the tangent of an angle,
tan U = TV/UV
Substitute TV = 55 , UV = 48;
tan U = 55/58
Therefore, Option C is true.
To learn more about the angle visit:
https://brainly.com/question/25716982
#SPJ6
i need help asap with this question it’s due tonight
Answers
Answer:
The answer is 44 cm^2
I hope it helps
Answer:
44 cm
Step-by-step explanation:
math. ...........
Tyler says the fifth graders have more than twice as many participants as the second graders. Is Tyler correct? Explain
Answers
Answer:
What if 27 more third graders arrive ...
Step-by-step explanation: