Answers
9514 1404 393
Answer:
see below
Step-by-step explanation:
The applicable properties of exponents are ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
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[tex](-2^2)^{-6}\div(2^{-5})^{-4}=2^{-12}\div2^{20}=2^{-12-20}=\boxed{2^{-32}}\\\\2^4\cdot(2^2)^{-2}=2^{4+2(-2)}=2^0=\boxed{1}\\\\(2^2)^2\cdot (2^3)^{-3}=2^{2(2)+3(-3)}=2^{4-9}= \boxed{2^{-5}}\\\\(-2^{-4})^{-2}\cdot(2^2)^0=2^{(-4)(-2)}\cdot 1= \boxed{2^8}[/tex]
__
Please note that ...
[tex](-2^2)^{-6}=\dfrac{1}{(-4)^6}=\dfrac{1}{4096}=2^{-12}[/tex]
That is, since the outside exponent is even, the sign is immaterial. This is also true for the other expression containing -2. The result is positive.
Related Questions
How much more paper is used for the label of the large can of tomato paste than for the label of the small can?
Answers
Answer:
23.57
Step-by-step explanation:
small can surface area - 25.13
big can surface area - 56.55
small can paper - (25.13-6.28) = 18.85
big can paper - (56.55-14.14) = 42.41
diffrence - 42.42 - 18.85 = 23.57
When Kenji drove to work, the temperature in town
was 40°F. When he came home, the temperature was
58°F. Which equation can be used to find t, the change
in temperature?
Answers
Answer: 40 + t =58
I just did the problem and the other ones don’t make sense
please help i am timed
Answers
Answer:
I think it might be C. I am not sure.
3. Write the equation of the line passing through the point (-2, 0) that is
PARALLEL to y = -3/2x - 2 in slope-intercept form.
Answers
Answer:
y=-3/2x-3
Step-by-step explanation:
I just know so...
Hope this helps :)
find the surface area
Answers
Answer: 24
Step-by-step explanation:
to find the surface area of a cube use its formula
A = 6 * a^2
A = 6 * 2^2
A = 6 * 4
A = 24
2x + 3 = 5, then, x=
Answers
Answer:
x= 1
Step-by-step explanation:
2x1=2+3=5
Answer:
x is equals to 1..........
Rashid owned n sheep. Eifion had exactly 4 times as many sheep as Rashid. Rashid buys 17 extra sheep. Eifion sells 8 of his sheep. Eifion still has more sheep than Rashid. Form an inequality, in terms of . Solve the inequality to find the least value of
Answers
4n - 8 > n + 17
n > 8.33
This means n is greater than 8.33.
We can have 9, 10, 11, 12, 13, ,,, and so on.
The least value is 9.
The least value of the number of sheep is 9.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
Rashid:
Number of sheep owned = n
Bought 17 sheep = n + 17
Eifion:
Number of sheep owned = 4n
Sells 8 sheep = 4n - 8
Eifion still has more sheep than Rashid.
This means,
4n - 8 > n + 17 ______(1)
Solving for n in (1).
4n - 8 > n + 17
Subtract n on both sides.
4n - 8 - n > n + 17 - n
3n - 8 > 17
Add 8 on both sides.
3n - 8 + 8 > 17 + 8
3n > 25
Divide 3 on both sides,
n > 25/3
n > 8.33
This means n is greater than 8.33.
We can have 9, 10, 11, 12, 13, ,,, and so on.
The least value is 9.
Thus,
The least value of the number of sheep is 9.
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The sum of the first n consecutive even numbers can be found using S=n2+n, where n≥2. What is the value of n when the sum is 42?
Question 8 options:
7
14
6
3
Answers
Answer:
C. 6Step-by-step explanation:
Given
S = n² + nS = 42, n = ?Substitute and solve for n:
42 = n² + nn² + 2*1/2n + 1/4 = 42.25(n + 0.5)² = 42.25n + 0.5 = √42.25n + 0.5 = 6.5n = 6Correct option is C
Answer:
C. 6
Step-by-step explanation:
What is the percent of decrease from 600 to 90 ??
Answers
Answer:
85%
Step-by-step explanation:
((600-90)/600) x 100 = 85%
The sum of two numbers is 52. The difference between the same two numbers is 6. Find the two numbers, and then find the PRODUCT of the two numbers.
Intitled Granh
Answers
Answer:
its 10
Step-by-step explanation:
Answer:
Let Two Numbers be=x and y
Sum of two Numbers=52
X+Y=52
X=52-Y. (Equation 1)
Difference=2
X-Y=2
.Putting Value of X=52-Y
52-Y-Y=2
52-2y=2
52-2=2y
50=2y
y=50÷2
y=25
We Get Y=25
X=52-Y
X=52-25
X=27
Prove
X+Y=52
27+25=52
X-Y=2
27-25=2
X=27
Y=25
Numbers=27,25
Step-by-step explanation:
:)
Which of the division expressions below has a quotient that is greater than 15? Select all
that apply.
A) 345 : 15
B) 196 : 14
C) 212 : 16
D) 455 = 25
E) 221 : 13
Answers
Answer:
The answer is D
Step-by-step explanation:
because if you do the methoes method you know that it rules out 1 and 2 and 3 after you do that its just between C and D, for the caunususicon it has to be D, that is why i think its D. hope this helps
What expressions are equivalent to 2 to the power of 6
A. 6x6x6x6x6x6
B.2x2x2x2x2x2
C.2x6
D.4x16
E.12x12
F.8x8
Answers
The expression are equivalent to 2 to the power of 6 is,
B. 2x2x2x2x2x2.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
We also know that a multiplied by a 'n' number of times can be written
as aⁿ.
Now, 2 to the power of 6 in exponent form is 2⁶ which states 2 is multiplied by 2, 6 times.
Therefore, From the given options the expression that is equivalent to
2⁶ is 2x2x2x2x2x2.
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If it takes 5 1/4 minutes to make one cut through a log, how long will it take to cut a 5 ft log into 5 equal pieces?
Answers
Answer:
try 30 1/4
Step-by-step explanation:
need help please on this question
Answers
Answer:
a c
Step-by-step explanation:
Create two expressions equivalent to 48j + 36 using the expresion below:
6(_ j + _ )
Answers
Answer:
Two expressions equivalent to 48j + 36.
Use distributive property of multiplication.
Since 6 is the factor, divide each term by 6 to get the other factor;
48j + 36 = 6*8j + 6*6 = 6*(8j + 6) =6*2(4j + 3)suppose that 23 inches of wire cost 69 cents at the same rate, how much in cents will 45 inches of wire cost
Answers
Answer:
pppop
Step-by-step explanation:
graph each equation and tell whether it is linear. explain why or why not. graph y=3x+2
Answers
Answer:
This graph is linear, the degree of x does not exceed 1 and the graph forms a line.
Step-by-step explanation:
I have 108$
If a pc costs 1,481$
And I earn 15$ a week
How long will it take until I get pc? (Please help!)
Answers
Step-by-step explanation:
$1481 - $108 = $1,373 still to needed to purchase PC
$1,373/ $15 = 91.533...
It will take 92 weeks.
HELLLLP MEH, WILL MARK BRAINLIEST, NEED ALL Q'S ANSWERED
Answers
Answer:
1. is 4
2. is 3
3. is 10
4. is 13
Step-by-step explanation:
Hope this helpss!!
2. Juan Pablo makes an hourly salary of $15 and time-and-a-half for any hours over 40. Last week he worked 45 hours. Explain how you would calculate his weekly gross pay, his Social Security Tax (6.2%), and his Medicare tax (145N). You don't need to actually calculate the values, just explain what mathematical processes you would use and why
Answers
Answer:
Gross = $712.5
Social security = $44.175
Medicare = $10.33125
Step-by-step explanation:
Given that :
Hourly pay = $15
Hours over 40 = 1.5 * $15 = $22.5
Total hours worked last week = 45
Total pay :
(40 * $15) + (45 - 5)*$22.5
$600 + $112.5
= $712.5
Hence, weekly gross pay = $712.5
Social security tax percent =(6.2%)
0.062 * gross = 0.062 * $712.5 = $44.175
Medicare tax percent = (1.45%)
0.0145 * $712.5 = $10.33125
Laura's spent $5.00 of the $20.00 in her wallet. Write a decimal and percent that represents the fraction of the $20.00 Laurel spent.
Answers
Answer:
1/4 or 0.25 or 25%
Step-by-step explanation:
Answer:
0.25, or 25%
Step-by-step explanation:
1/4=0.25, and that equals 25% also 4*5=20, so 5 is 1/4 of 20.
hopes this helps
Work out m and c for the line:
y = 2x
Answers
C = 0
Evaluate sin(36°), round your answer to four decimal places.
Answers
Answer:
[tex]sin(36^{\circ})=\approx 0.5878[/tex]
Step-by-step explanation:
We are given that
[tex]sin(36^{\circ)[/tex]
We have to find the value of [tex]sin(36^{\circ)[/tex]
To find the value of [tex]sin(36^{\circ)[/tex] we will use table of sin
From sin table
We get
[tex]sin(36^{\circ})[/tex]
=0.587785
We have to round off the answer to four decimal places
Therefore,
[tex]sin(36^{\circ})=\approx 0.5878[/tex]
Help!!!!!!!!!!!!!!!!!!!!!
Answers
I need 954x66.76 plz 5min til due
Answers
954 * 66.76 = 63689.04
Carol opened a savings account and deposited 2,650. The account earned 4% interest compounded annually how much money will carol have in her account after 3 years
Answers
Answer:
$2968
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
I = 2650 × 0.04 × 3 = 318
I = $ 318.00
The simple interest accumulated
on a principal of $ 2,650.00
at a rate of 4% per year
for 3 years is $ 318.00.
A circle has a radius 5cm. Using area = πr² calculate the area of the circle. Give your answer to 2 decimal places
Answers
Answer:
[tex]Solution,\\Radius(r) = 5cm\\Area of circle = \pi r^2 = \pi (5)^2 = 25\pi =78.54cm^2[/tex]
HELP NEEDED ASASP
Write a story to represent this equation 15 divided by 1/9
Next what multiplication shows that your division is correct? PLS ANSWER
Answers
Answer:
Jamie has a foot plank that he needs to cut into 1/9 pieces.
15 ÷ 1/9 = 135
135 x 1/9 = 15
Step-by-step explanation:
Jude divided 15 pizzas bought into 1/9 pieces each. what is the total number of pizzas are we having?
Word problemsThis is a way of representing equations using real-world applications.
Given the expression 15 divided by 1/9, we can create a story to represent the expression. For instance;
Jude divided 15 pizzas bought into 1/9 pieces each. what is the total number of pizzas are we having?Let the number of pizzas we have to be x
x = 15/(1/9)
x = 15 * 9/1
x = 135
Hence there are 135 pieces of pizzas
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Please help!!! What type of transformation is shown from Triangle P to Triangle Q?
A. Reflection across the y axis
B. Rotation
C. Translation
D. Reflection across the x axis
Answers
Answer:
D
Step-by-step explanation:
Reflection across the x axis
This is your answer because it is reflection on the x axis
Hope this helps u :)
Pls mark brainlist
The transformation shown from Triangle P to Triangle Q is Translation.
What is a transformation?
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
Given that, Triangle P is transformed to Triangle Q.
The transformation shown is a translation transformation, because in a translation transformation, all the points in the object are moved in a straight line in the same direction.
Hence, The transformation shown from Triangle P to Triangle Q is Translation.
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g(1)=0
g(n)=g(n-1)+n
g(2)=????
Answers
If g(1) = 0 and g(n) = g(n-1) + n, then g(2) = 2
The given relationship is:
g(1) = 0
g(n) = g(n-1) + n
g(2) = ?
Since g(1) is already known
g(2) = g(1) + 2
Note that g(1) = 0
Substitute g(1) = 0 into g(2) = g(1) + 2
g(2) = 0 + 2
g(2) = 2
Therefore, if g(1) = 0 and g(n) = g(n-1) + n, then g(2) = 2
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