Answers
Answer:
1/3
Step-by-step explanation:
Your choice of answer must be consistent with the instructions.
The only answer with no exponent is the correct one:
1/3
__
The rules of exponents tell you ...
(a^b)(a^c) = a^(b+c)
3^(-4) × 3^3 = 3^(-4+3) = 3^-1
and
a^-b = 1/a^b
so
3^-1 = 1/3^1 = 1/3 . . . . written without an exponent
Related Questions
HURRY I GOT ONLY 1 MIN!!!!
How are a cylinder and a prism similar?
They both have lateral faces.
They both have vertices.
They both have two bases.
They both have polygon bases.
Answers
Answer:
They both have polygon bases
Step-by-step explanation:
Hope this helps :)
Given the function f(x)=3-2x^2, find k such that f(k)=-3
Answers
Answer:
k = ±√3
Step-by-step explanation:
Given :
f(x) = 3 - 2x²f(k) = -3To find the value of k, we need to equate both the functions to find the value of x such that it is equal to the value of k.
⇒ 3 - 2x² = -3⇒-2x² = -6⇒ x² = 3⇒ x = ±√3We already set a relation before, which is :
x = kTherefore, k = ±√3A mortgage has an initial balance of $150,000 and is charged 5% yearly interest applied monthly. If a person makes a payment of $1000 each month, which of the following is closest to the mortgage balance after 3 months of payments?
(1) $145,165
(2)$147,520
(3)$148,160
(4)$148,870
Answers
To the nearest whole percent, what is the value of a in the relative frequency table for the survey results? a = 27% a = 42% a = 81% a = 88%
Answers
Answer:
a=27%
Step-by-step explanation:
-lukelaws
tell me if it helped
Answer:
A
Step-by-step explanation:
Equals 27 percent
I took the test and go it right
Explain how you know 3⁴=9² without calculating the values.
Answers
Answer:
See below
Step-by-step explanation:
[tex] {3}^{4} = ( {3}^{2} )^{2} = {9}^{2} \\ \\ \implies \: {3}^{4} = {9}^{2}[/tex]
Answer:
think of it like this
Step-by-step explanation:
whenyou have 9 squared you do 9*9 but since we are not able to calculate the values we will just say thereare 2 9's
Now we got 3^4 how many three's multiplied together make 9.. answer is 2 So If you simplify3^4 to 9^2 they are both the same
basically you are multtiplying the left side to get the same number on the right because it tells you they are even
Factor out the greatest common factor from the following polynomial.
Answers
Answer:
i pretty sure its 6
8x
Step-by-step explanation:
i did the research
Here
Common part is 8 and x⁶
Now
Factor out
8x⁶(x²-3x+8)GCF=8x⁶
Verify the following statements and name the property.
A- -6+(+2)
B- 19+(-2)=(-2)+19
C- -7+(-2)
Answers
-4=-4
communicative
B-communicative
19-2=2-19
17=17
communicative
C- -7+-2=-9
closure
[tex] - 6 - 2[/tex]
[tex] = - 4[/tex]
commutative property.
B- 19+(-2)=(-2)+19[tex] 19 - 2[/tex]
[tex] = 17[/tex]
commutative property.
C- -7+(-2)[tex] - 7 - 2[/tex]
[tex] = - 9[/tex]
closure property.
Emma has a round trampoline with a diameter of 2 yards. What is the trampoline's radius?
yards
Answers
Answer:
You know the radius is 1/2 of the diameter.
You can simply do 2/2 which is ONE.
The radius of the trampoline with a diameter of 2 yards will be 1 yard.
What is the radius?The radius of the circle is the distance from the centre of the circle to the outer curve of the circle. The diameter of the circle is the length of the two points between the curve of the circle passing through the centre of the circle.
The radius of the circle is half of the diameter of the circle. The trampoline's radius will be calculated as,
Radius = Diameter / 2
Radius = ( 2 ) / 2
Radius = 1 yard
Therefore, the radius of the circle will be 1 yard.
To know more about radius follow
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Which inequality statement describes the two numbers: -22 and a number 47 units to the right of -22?
Answers
Answer:
D) -22 < 25
Step-by-step explanation:
If the number is 47 units to the right, then the number will be larger than -22, because negative values get larger the closer they are to zero.
47 units right from -22 is the same as: -22 + 47, which equals 25.
So, we can conclude that -22 < 25 is the inequality.
hope this helps!
what is the length of the diagonal from P to Q?
Answers
Jennie was collecting bugs for a school science project. She measured
each one in inches and wrote their lengths below.
1 1 8 3 14
12 3 2 36
18 30
5
Which list shows the lengths in order from least to greatest?
5
A.
1
3
3
18
8
36
14
30
2.
B.
3
18
8
36
1
3
듬
12
30
2
C,
14
30
3
18
8
36
1
3
2
12
D.
8
36
14
30
2
18
12
Please help! W/ work pls due at 8 am! It’s 6:14
Answers
Answer:
c. b. a.
Step-by-step explanation:
yan po sagot sana po makatulong ito lang po alam ko ehh
Solve the following linear inequalities given in the first column and choose the appropriate results
Answers
Answer:
[tex]g\geq 17[/tex]
[tex]g > -10[/tex]
[tex]g > -1[/tex]
Step-by-step explanation:
[tex]7(g-19)\geq -14[/tex]
Divide both sides by 7:
[tex]g-19\geq -2[/tex]
Add 19 to both sides:
[tex]g\geq 17[/tex]
[tex]3(7g+17) > -19+14g[/tex]
Expand brackets:
[tex]21g+51 > -19+14g[/tex]
Subtract 14g from both sides:
[tex]7g+51 > -19[/tex]
Subtract 51 from both sides:
[tex]7g > -70[/tex]
Divide both sides by 7:
[tex]g > -10[/tex]
[tex]6(-6g+6) > -2(19g-17)[/tex]
Expand brackets:
[tex]-36g+36 > -38g+34[/tex]
Add 38g to both sides:
[tex]2g+36 > 34[/tex]
Subtract 36 from both sides:
[tex]2g > -2[/tex]
Divide both sides by 2:
[tex]g > -1[/tex]
What is a solution to 3x-26/7=-5/x if x/= 0
Answers
Answer:
Step-by-step explanation:
In a class of 10 students, what is the mean and standard deviation of the number with 20-20 vision in the class
Answers
define the volume of 30 cm 24 cm 52 cm
Answers
Answer:
37,440
Step-by-step explanation:
To find volume the formula is : Length x Width x Height... So 30 x 24 x 52 = 37, 440
:D
what value of x makes the equation true?
Answers
Answer:
[B] - 1/3
Step-by-step explanation:
Given:
-8x-5(1-x)=6x-2
Solve:
Expand : -8x - 5(1-x) : -3x -5
-3x - 5 = 6x -2
Add 5 to both sides (Balance)
-3x-5+5=6x-2+5
Simplify
-3x = 6x + 3
subtract 6x to both sides (Balance)
-3x - 6x = 6x +3 -6x
Simplify
-9x = 3
Divide both sides by -9 (Balance)
-9x/-9=3/-9
Simplify
x = -1/3
[RevyBreeze]
Find the length of a path that runs diagonally across a 20-yard by 50-yard field
Answers
Answer:
c = 53.85 or 54
Step-by-step explanation:
An African bush elephant weighs 5½ tons. How many pounds does this elephant weigh?
HELP GUYS!
Answers
Answer:
11000 pounds
Step-by-step explanation:
1 US ton=2000 pounds
multiply the mass value by 2000
5.5ton x 2000pound
=11000pounds
answer this and i will never forget about you. ever.
Answers
Answer:
(B) 70.5
Step-by-step explanation:
During the first second the acceleration is 2, and the distance is 2
During the second second the acceleration is 5, and the distance is 4.5
During the third second the acceleration is 4, and the distance is 9
During the last 5 seconds the acceleration is 0, velocity is 11 and the distance is 55 m
2 + 4.5 + 9 + 55 = 70.5 (B)
Six right triangles are shown. Each side of each triangle is also the side of a square.
Answers
The area of the small triangle in six right triangles are shown is 1/25 units² and the area of the small square is 1 units².
What is the area of square?Area of square is the square of its sides length. It can be given as,
A=a^2
Here, (a) is the length of the side of the square
The legs of the smallest triangle is 1-1 units long. Thus, the area of this triangle is,
[tex]A=\dfrac{1\times1}{2}\\A=\dfrac{1}{2}\rm\; unit^2[/tex]
The area of small squares with side 1 is,
[tex]A=1^2\\A=1 \rm \;unit^2[/tex]
Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of other two legs of the right angle triangle.
The hypotenuse side length of this triangle is,
[tex]h=\sqrt{1^2+1^2}\\h=\sqrt{2}[/tex]
Thus, the area of the square with √2 side is,
[tex]A=\sqrt{2}^2\\A=2\rm\; unit^2[/tex]
Similarly, the area of all the squares and triangle with the different sides can be found out.
Thus, the area of the small triangle in six right triangles are shown is 1/25 units² and the area of the small square is 1 units².
Learn more about the area of square here;
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hi, i am struggling to find this algebra 2 answer can anyone help? ill give you whatever u want
Answers
Answer:
Step-by-step explanation:[tex]-\frac{9}{x-9}[/tex]
Answer:
-9(1+x)
-------------
(x-7)(x+7)=0
Step-by-step explanation:
We use factorisation of quadrats
y^3+2y^2+12y+16=28
I really need a step by step explanation because I want to understand. Thank youuuuu! Branliest for explanation :)
Answers
Answer:
[tex]y = 0.835193[/tex] (use the '≈' )
Step-by-step explanation:
[tex]y^3+2y^2+12y+16=28[/tex] (original equation)
[tex]y^3+2y^2+12y+16 - 28 =28 -28[/tex] (subtract 28 from both sides)
[tex]y^3+2y^2+12y-12=0[/tex] (new equation)
then use the cubic formula (i don't really know how to explain the process through a screen. I'm sorry! Hopefully, this helps enough though)
Find the unknown angle measurement
Answers
Answer:
65
Step-by-step explanation:
115 + x = 180
x = 180 - 115
x = 65
Answer:
65°
Step-by-step explanation:
A right-angle equals 90°. Two right angles would be a line like shown in the picture.
So, 90 + 90 = 180.
Since we know the whole amount of the 2 angles combined is 180, all we have to do is subtract 115 from 180 to find the missing value.
180 - 115 = 65
Therefore, 65° equals x.
-kiniwih426
Please help, I don't understand. I wish you all good luck :)
Answers
Answer:
83.6
Step-by-step explanation:
just use your calculator
Answer:
83.6
Step-by-step explanation:
It's simple, just type it in the calculator and you'll get the answer
Mr. Alexander was traveling home from a business
trip. A taxi driver took him from his hotel room to a
bus station that was 18 miles away. The taxi traveled at an average rate of 60 miles an hour.
Mr. Alexander waited 15 minutes at the bus station
before leaving on a 178-mile bus ride.
Mr. Alexander's trip took a total of 5 hours from the time he left the hotel to the time the bus arrived at its destination. At
what average rate did the bus travel? Explain or show calculations to support the answer.
Answers
Using the relation between velocity, distance and time, it is found that the bus traveled at a rate of 40 miles per hour.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
The taxi took 18 minutes(60 miles per hour = 1 mile per minute), while he waited for 15 minutes at the station. Thus, the 178-mile bus trip took 4 hours and 27 minutes, so t is given by:
[tex]t = 4 + \frac{27}{60} = 4.45[/tex]
Hence, the velocity is given by:
[tex]v = \frac{d}{t} = \frac{178}{4.45} = 40[/tex]
The bus traveled at a rate of 40 miles per hour.
More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
The cost of pool service includes labor and supplies. labor is 80% of the total cost. the cost of labor for a certain pool service is $220.
what is the total cost of the pool service?
enter your answer in the box
Answers
Answer:
I know im late but the answer is 275 I just took the test on k-12
Step-by-step explanation:
Please help,how to do this
Answers
Whats the answer ? I need help as soon as possible!
Answers
Answer:
the answer is
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
1. 91/5 + 112/5 + 201/5
2. denominators are the same
3. 404/5
Rewrite x^2 − 2x − 3 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.
a = 4 and b = 3
a = 3 and b = 2
a = 2 and b = 1
a = 1 and b = 4
Answers
hope this makes sense :)
The table below shows a proportional relationship between qq and rr.
qq rr
4848 66
128128 1616
160160 2020
Find the constant of proportionality from qq to rr. Express your answer as a fraction in reduced terms.
Answers
The table that shows the distribution of q to r illustrates a direct variation
The proportionality constant from q to r is 1/8
How to determine the proportionality constant?From the table, we have the following points
When q = 48, r = 6
The proportionality constant is then calculated as:
k = r/q
Substitute known values
k = 6/48
Divide
k = 1/8
Hence, the proportionality constant from q to r is 1/8
Read more about proportionality constant at:
https://brainly.com/question/12242745