Answers
9514 1404 393
Answer:
b⁶
Step-by-step explanation:
The question tells you how to work it: use the relations you studied.
Here, you have the power of an expression with an exponent. The exponents multiply.
[tex]\text{Rule: }(a^b)^c=a^{bc}\\\\\text{Appication: }(b^3)^2=b^{3\cdot2}=\boxed{b^6}[/tex]
_____
Additional comment
A coefficient is used to indicate repeated addition: 3x = x + x + x.
An exponent is used to indicate repeated multiplication: x³ = x·x·x.
This is still true when the exponent is applied to an expression with an exponent:
(b³)² = (b³)(b³) . . . . the factor b³ is repeated 2 times as indicated by the exponent 2
Of course, each of these indicates repeated multiplication, so we really have ...
(b³)(b³) = (b·b·b)·(b·b·b) = b·b·b·b·b·b
And this can be simplified using an exponent to show the repeated multiplication:
= b⁶
Then, by going the long way around, we arrive at ...
(b³)² = b⁶
Related Questions
HELP THIS IS DUE SOON
Answers
Answer:
the book has 40 pages
Step-by-step explanation:
so he has read 90 percent and has 4 pages left. So 10 percent is 4 pages.
10 times 10 is 100. 4 times 10 is 40. The entire book is 40 pages.
10 percent equals 4 pages
20 percent percent 8 pages
30 percent is 12 pages
40 percent is 16 pages
50 percent is 20 pages
60 percent is 24 pages
70 percent is 28 pages
80 percent is 32 pages
90 percent is 36 pages
100 percent is 40 pages
What is 3r-2 ?? Algebra is not my strong suit
Answers
3r-2=0
3r=2 (added to both sides)
3r= 2/3
r=2/3 which is 0.6667 as a decimal
Susan works at the local Department store. She makes a 2% commission on all sales. She sells jewelry worth $20,000. What is her commission
Answers
Answer:
I think it's 2000
Step-by-step explanation:
express as a difference.
a.) 7+3
b.) a+5
c.) a+b
First correct answer is Brainliest.
Answers
b: 5+5
c: 5+5
thats thw andeer
Answer:
Step-by-step explanation:
15-5
a-(-5)
a-(-b)
Activity 1
Fill in the missing number:
1. 34 533; 35 533 ; 36 533; 37 533; 38 533
2. 6475; 6 490;
3 6 520; 6 235; 6 250.
3. 55 455; 55 470;
Answers
Answer:
3 6 520; 6 235; 6 250.
Pls somebody that knows this answer it please
Answers
Answer:
Im pretty sure it is 48 but it could be 96
Step-by-step explanation:
I just found the area and halved that.
I need help asap please someone help
Answers
Answer:
yes,yes,no,yes
Step-by-step explanation:
Angle measures 82.6° less than the measure of its supplementary angle. What is the measure of each angle
Answers
Answer:
131.3°, 48.7°
Step-by-step explanation:
Let x represent the larger angle. Then x-82.6 is the smaller one. Their sum is ...
x +(x -82.6) = 180
2x = 262.6
x = 131.3
x -82.6 = 48.7
The two angle measures are 48.7° and 131.3°.
Mr. Gow needs to build a wheelchair access ramp for the school's auditorium. The ramp must rise a total of 3 feet to get from the ground to the entrance of the building. In order to follow the state building code, the angle formed by the ramp and the ground cannot exceed 4.75°.
Mr. Gow plans from the planning department that call for the ramp to start 25 feet away from the building code?
a. Draw an appropiate diagram. Add all the measurements you can. What does Mr. Gow need to find?
b. According to the plan in part (a), what angle will the ramp make with the ground? Will the ramp be to code?
c. If Mr. Gow builds the ramp exactly to code, how long will the ramp be? In other words, at least how far from the building must the ramp start in order to∞ meet the building code? Show all work.
(NOT A MULTIPLE CHOICE)
Answers
9514 1404 393
Answer:
a. see below for diagram. Angle for the length; length for the angle
b. 6.84°; not to code
c. 36.1 ft
Step-by-step explanation:
a. The diagram is shown below. Mr. Gow needs to find the angle it makes in order to determine if it is up to code. Alternatively, Mr. Gow needs to find the required length for a ramp that meets code.
__
b. The angle the ramp makes can be found using the tangent relation.
Tan = Opposite/Adjacent
tan(angle) = 3/25
angle = arctan(3/25) ≈ 6.84°
The ramp will make a 6.84° angle with the ground. It will not meet code.
__
c. We can find the distance from the building where the ramp must start using the same trig relation.
tan(4.75°) = (3 ft)/(distance)
distance = (3 ft)/tan(4.75°) ≈ 36.1 ft
The ramp must start 36.1 feet from the building to exactly meet code.
ABOVE answer is absolutely correct
Write a quadratic function that reflects the x axis, stretches by a factor of 5, and shifts left 6 and up 3
Answers
Answer:
y=(x+6)^5+3
Step-by-step explanation:
What is the slope of a line of best fit if its equation is y = −2x + 3?
−2
Negative 1 over 2
1 over 3
3
Answers
Answer:
-2
Step-by-step explanation:
y=m(slope)x+b(y axis)
26.) Using x as the unknown number, write the statement below as an equation.
The sum of twice a number and 7 is equal to the sum of the number and 6
Answers
Answer:
true
Step-by-step explanation:
The frog jumped 7/8 of a foot on the first jump and 2/3 of a foot on the second
jump. How many feet did the frog jump in total?
feet
Pls show mercy!!!!!
Answers
7/8 + 2/3
Look at the graph of the functions. Given the original function, what is a possible equation for the translated function, g(x)?
Answers
Answer: c
Step-by-step explanation:
Find the measure of <2.
62 = [?]
Answers
Answer:
63°
Step-by-step explanation:
They are corresponding angles.
identify the coefficeient following expression
6a+7
Answers
Answer:
6
Step-by-step explanation:
The coeffecient is the number next to the variable. Boom. Done.
Answer:
6
Step-by-step explanation:
a coefficient is a number in front (behind) the variable (ex. the coefficient in 2x is 2, and the variable is x)
i hope this helps :)
Solve |3x – 2| = |x + 1| Question 12 options: A) x = 3∕2 or x = 1∕4 B) No solutions C) x = 3 or x = –4 D) x = 1∕4
Answers
Answer:
x = 3/2
Step-by-step explanation:
Step (1) :
We should put like term togther:
3x - x = 2 +1
2x = 3
Step (2) :
Divide bothe side by 2:
2x/2 = 3/2
x = 3/2
Write the fraction 28 in its simplest form.
70
Answers
Answer: 2/5
Step-by-step explanation: 28/70 ÷ 12/12 = 2/5
The simplest form of the given fraction is 2 / 5
What is a fraction?A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.
Given is a fraction, 28 / 70, we have to convert it into its simplest form,
28 / 70
= 2(14) / 5(14)
= 2 / 5
Hence, the simplest form of the given fraction is 2 / 5
For more references on fractions, click;
https://brainly.com/question/10354322
#SPJ2
What is the distance, in a radical form, between the points (5,-6) and (2,5).
Answers
Answer:
L²=(x1-x2)²+(y1-y2)²
L2=(5-2)²+(-6-5)²
L²=3²+(-11)²
L²=9+121
L²=130
L=✔130
I need help plzzzzzzzzz
Answers
Answer is:
a= 90-70
=20
Answer:
The missing angle is 20°
Step-by-step explanation:
The square by the vertex indicates that this is a right angle. A right angle measures 90°. So what you can do is subtract the 70° from the 90°, to get 20°.
Hope this helps! Have a great day! :)
How can you find f(4) if f(x)=7x^(2)-5
Answers
Answer:
107
Step-by-step explanation:
f(x)=7x^(2)-5
f(4) means that x=4
f(4)=7*4^(2)-5
= 7 * 16 -5
= 112 -5
= 107
Find the perimeter and area of the triangle. Show all work.
31 yd
14 yd
28 yd
Answers
Need answer to this urgently
Answers
Answer:
x=3
Step-by-step explanation:
25+134+4x+9+180
4x+168+180
4x+12
x=3
Marissa launches a toy rocket in her backyard. The path of the rocket is
modeled by the equation h = 18t - 3t, where h is the height in feet, and t is the
time in seconds since the rocket was launched.
Answers
Answer:
maybe u should have paid attention in class buddy
Step-by-step explanation:
L
1 1/5 + 3 2/5
fractions
Answers
Answer:
4 7/15
Step-by-step explanation:
Hope this helps :)
5x-y=-6
y=-7x+6
find y and x and show work
Answers
Answer:
5x-y=-6.............1
y=-7x+6...........2
substituting value of y in equation 1
5x-(-7x+6)=-6
5x+7x-6=-6
12x=0
x=0/12=0
substituting value of x in equation 1
5×0-y=-6
y=6
The bar graph shows the number of each kind of pet owned in Critter City. How many more cats are pets in Critter City than fish?
A)
5
B)
10
15
D)
30
Answers
Answer:
i need the photo to answer
Step-by-step explanation:
Use Euler’s formula to write -12 sqrt3 +12i in exponential form
Answers
Should be D on edge. 24e i 5pi/6, Or
649-14-07-00-00_files/i0150005,jpg(image name)
determine the intercepts of the line
x-intercept _,_
y- intercept _,_
HELP ASAP
Answers
y-intercept: (0,2)
7
Carly has a bank account with a balance of $3,575. The account pays simple interest at a rate of
4.15%. How long will it take for the account to grow to $7000? Round to the nearest year.
Answers
Answer:
It will take 23 years for the account to grow to $7000.
Step-by-step explanation:
Simple Interest
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
Carly has a bank account with a balance of $3,575.
This means that [tex]P = 3575[/tex]
The account pays simple interest at a rate of 4.15%.
This means that [tex]I = 0.0415[/tex]
How long will it take for the account to grow to $7000?
[tex]T = 7000[/tex]
The interest is:
[tex]T = E + P[/tex]
[tex]E = T - P = 7000 - 3575 = 3425[/tex]
Now we have to find t.
[tex]E = P*I*t[/tex]
[tex]3425 = 3575*0.0415*t[/tex]
[tex]t = \frac{3425}{3575*0.0415}[/tex]
[tex]t = 23.1[/tex]
Rounding to the nearest year, it will take 23 years for the account to grow to $7000.