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]
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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
Find the measure of the exterior angle.
Answers
Answer: 108 degrees
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the two remote interior angles. (Remote referring to the farthest angles from the exterior angle) 2a = (a+10) + 44. Combine like terms.
2a = a+ 54. Subtract “a” from both sides.
a= 54
You can check for correctness by plugging in 54 for a. 2(54) = (54+ 10) + 44. 108= 108.
(Remember, the exterior angle should equal the sum of the two remote interior angles)
Due in 10 Mins please help!
Answers
Answer:
-4
Step-by-step explanation:
-*- =+
2(3x+4) - 2x = 24
I need help rq on this problem I need to solve it
Answers
6x + 8 - 2x = 24
Combine like terms.
6x - 2x = 4x
4x + 8 = 24
Subtract 8 on both sides.
4x = 16
Divide by 4.
x = 4
Answer: x=4
Step-by-step explanation:
Given
2(3x+4)-2x=24
Expand parenthesis
6x+8-2x=24
Combine like terms
4x+8=24
Subtract 8 on both sides
4x+8-8=24-8
4x=16
Divide 4 on both sides
4x/4=16/4
x=4
Hope this helps!! :)
Please let me know if you have any questions
In right triangle ABC, angle C is a right angle, AB = 17 and BC = 15.
What is the length of AC?
Answers
Answer:
AC=8
Step-by-step explanation:
c^2=a^2+b^2
replace for the known values c and a to find b
The required length of AC is 8 unit.
What is a right angle triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees.
Given that,
In triangle ABC, angle C is a right angle,
Also side AB = 17, BC = 15 and AC =?
To find side AC, use Pythagoreans theorem,
AB² = BC² + AC²
Substitute the values of AB and BC,
17² = 15² + AC²
289 = 225 + AC²
⇒AC² = 289 - 225
⇒AC² = 64
⇒AC = 8
The required length of AC is 8 unit.
To know more about Triangle on :
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If there are 3 hearts and 2 stars what is the value of ONE star?
Answers
Explanation: 3 is total. You have two stars. 1.5+1.5=3
(7x-8)(-1) PLEASE HURRY ITS A TIMED QUESTION !!!
Answers
Answer:
Is x a vairable? If x is a vairable, then your answer will be 56x. If x is not a vairable, and means a multiplication sign, then your answer will be 56.
HELP ASAP ASAP ASAP!!! I WILL MARK BRAINLIST!!!!!!
What is the measure of an angle that turns through 3/4 of a complete circle?
34º
270º
43º
75º
Answers
270º
Step-by-step explanation:
A full circle is 360 degrees. So, 3/4 of a circle is 270.
Can you help me pls and thank you
Answers
Answer:
80%
Step-by-step explanation:
If you do 4 divided by 5 it equals 0.8, which is 80%
Answer:
The answer is 80%
Step-by-step explanation:
The area of a regular hexagon inscribed in a circle with radius 2 is . Round your answer to the nearest tenth.
Answers
Answer:
10.4 to nearest tenth.
Step-by-step explanation:
If we draw lines from the centre of the circle to each vertex of the hexagon we get 6 equilateral triangles of side length 2.
Altitude of each triangle = sqrt(2^2 - 1^2)
= sqrt3.
So the area of 1 triangle = 1/2 * 2 * sqrt3
= sqrt3
Therefore the area of the hexagon = 6 * sqrt3
= 6sqrt3
= 10.3923
Nayeli wants to earn some extra money so she sells lemonade for $2 per cup and orange juice for $3 per cup. She sells a total of 100 cups and earns $240. Later she wants to find the number of cups of lemonade and the number of cups of orange juice she sold. Which system of equations below represents this situation?
1. 2x + 3y = 240 AND x + y = 100
2. 2x + 3y = 100 AND x + y = 240
3. x + 2y = 100 AND 3x + y = 240
4. 2x + 100 = 240.AND x = 3y
Answers
Answer:
1
Step-by-step explanation:
let x represent lemonade and y represent orange juice
the total earning is $240. 2x+3y=240 allows you to find the number of each cup you need to sell to get $240.
the total number of cups sold is 100. x+y=100 gives you the other equation necessary to find the number of cups of each sold if you told a total of 100
on a scale of one to 100, your teacher crankiness is directly proportional to the number of students talking while she is talking, the teachers crankiness index is 5. What is her crankiness index when 6 students are talking?
Answers
Answer:
30 (random guess)
Step-by-step explanation:
A circular railroad-crossing sign has a diameter of 30 inches.
R XR
Which measurement is closest to the area of the sign in square inches?
Answers
Answer:
706.9 cm2
Step-by-step explanation:
it is right
Mr. Hoskins uses an automatic bill pay
to pay his bills each month. The cable
bill deducts $66.45 every month.
How much will the cable bill deductions
total for the year
Answers
Mr. Hoskins uses an automatic bill pay
to pay his bills each month. The cable
bill deducts $66.45 every month.
How much will the cable bill deductions
total for the year
Answer:Your answer will be nothing but 797.4.
Step-by-step explanation:
The cable bill ldeducts$ 66.45.
And he will pay ever month.
Either enter an exact answer in terms of . or use 3.14 for .
Answers
Answer: 75π units³ or 235.5 units³
Step-by-step explanation: Notice that the figure shown here is a cylinder.
To find the volume of a cylinder, start with the
formula for the volume of a cylinder, which is V = πr²h.
Here, notice that our cylinder has a
radius of 5 units and a height of 3 units.
So we have (π)(5 units)²(3 units).
Start by simplifying the exponent.
(5 units)² is (5 units)(5 units) or 25 units².
So we have (π)(25 units²)(3 units).
Now, (25 units²)(3 units) is 75 units³.
So we have 75π units³.
So the volume of the cylinder shown here is 75π units³.
Remember that π is approximately equal to 22/7 or 3.14 so we
can estimate the value of the volume by plugging in 3.14 for π.
So we have (75)(3.14) which is equal to 235.5.
So the value of the volume is approximately 235.5 units³.
Jenny is running in a charity event. One donor is paying an initial amount of $20.00 plus an extra $5.00 for every mile that jenny runs.
A. Write a function D9x) for the total donation for x miles run.
B. Find the inverse function.
C. What do x and D-1(x) represent in the context of the inverse function.
Answers
Answer: Here are all the answers for the previous question you asked with the worksheet it said you deleted the question so I put it all on this one.
1. (1,-2), (0,-5), (-1,-8), (2,-11)
2.(5,3), (8,4), (11,5), (14,6)
3.(11,5), (6,1), (1,-3), (-4,-7)
4.(3,0), (3,2), (3,4), (3,6)
5-6. I can't see the number on the graph to well so maybe try making another question and send a better picture of the graphs
8. [tex]f^{-1}[/tex](x)=[tex]\frac{5x}{6}[/tex]+[tex]\frac{5}{2}[/tex]
9.[tex]f^{-1}[/tex](x)=[tex]\frac{3x}{4}[/tex]-[tex]\frac{1}{2}[/tex]
10. [tex]f^{-1}[/tex](x)=2x+[tex]\frac{1}{3}[/tex]
11. [tex]f^{-1}[/tex](x)=[tex]\frac{x}{9}[/tex]-[tex]\frac{4}{3}[/tex]
12. [tex]f^{-1}[/tex](x)=[tex]\frac{x}{5}[/tex]-6
13. [tex]f^{-1}[/tex](x)=[tex]\frac{7x}{2}[/tex]+[tex]\frac{3}{2}[/tex]
14. [tex]f^{-1}[/tex](x)=[tex]\frac{3x}{2}[/tex]+6
15. [tex]f^{-1}[/tex](x)=[tex]\frac{3x}{5}[/tex]+[tex]\frac{18}{5}[/tex]
16. [tex]f^{-1}[/tex](x)=-5x+12
17. [tex]f^{-1}[/tex](x)=[tex]\frac{-8x}{5}[/tex]+8
18. [tex]f^{-1}[/tex](x)=-2x-5
19. [tex]f^{-1}[/tex](x)=[tex]\frac{-5x}{2}[/tex]-[tex]\frac{3}{2}[/tex]
20.
a. D(x)=5x+20
b.[tex]D^{-1}[/tex](x)=[tex]\frac{x}{5}[/tex]-4
c. Every mile that Jenny runs
Which of the following is a polynomial?
Answers
Answer:
A. 3x^2+6x is a polynomial
The speed of a car in mph varies directly with the speed of a car in kph. The speed of 75
mph is equivalent to 120 kph. How many kph is 45 mph?
PLEASE HELP ME
Answers
Answer:
no se amigos jajajajjajaaa no se
pls help, ( ANSWER ALL) if you lie then il the report you. (brainlist + thanks)
Answers
B.) 9/20
C.) 5/12
D.) 14/45
To draw a model just draw a rectangle with whatever the amount of the denominator is boxes inside of it then fill in the amount of the numerator I’ll put an example in the comments
what is the base if the height is 6ft and the area is 14 ft on a triangle
Answers
Answer:
b = 4.66666667
Step-by-step explanation:
The equation for finding the area of a triangle is
0.5b x h = a
b = base
h = height
a = area
So I calculated 14 divided by 6
And got 2.3333333
And since that number is half of the base, I multiplied it by 2
2.333 x 2 ≈ 4.66666667
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
can someone help me with my homework please
Answers
Answer:
i think its A (sorry if i got this wrong
Step-by-step explanation:
please help 13 points and will give brainelist
Answers
Answer:
B
Step-by-step explanation:
B's numbers are all doubled of what they are on the original.
Answer:
B
Step-by-step explanation:
First of all the angle is same
and then we check if ratios of all sides are equal so
5/10=6/12=12/24=7/14
1/2=1/2=1/2=1/2
the ratios are equal so the shapes are similar
Two functions are graphed on the coordinate plane.
On a coordinate plane, a curved line with an upward arc, labeled g of x, crosses the x-axis at (negative 2, 0), and the y-axis at (0, 4). A straight horizontal line, labeled f of x, crosses the y-axis at (0, 4).
Which represents where f(x) = g(x)?
f(4) = g(4) and f(0) = g(0)
f(–4) = g(–4) and f(0) = g(0)
f(–4) = g(–2) and f(4) = g(4)
f(0) = g(–4) and f(4) = g(–2)
Answers
Answer:
Answer:
(B) f(-4)=g(-4) and f(0)=g(0)
Step-by-step explanation:
From the given graph, the lines f(x) and g(x) intersects at two different points.
When x=-4, f(-4)=4 and g(-4)=4
When x=0, f(0)=4 and g(0)=4
Therefore, the points which represent where f(x)=g(x) are:
f(-4)=g(-4); and
f(0)=g(0)
The correct option is B.
Can someone help me very quickly!!!Everything you got on the picture aboveYou don't need to do everything just this what you know
Answers
2 to the Power of 4
A, L, C
3 to the power of 3
D, J, K
4 to the power of 2
B, G, E
5 to the power of 2
F, I, H
Which of the following are solutions to the equation below?
Check all that apply.
(3x- 5)2 = 19
Answers
8) Name the relationship
Answers
Vertical
Explanation:
They are vertically opposite
AXY Z with vertices X(1,1),Y (3,5), and Z(5, 1) will be rotated 180°about the origin. What will be the coordinates of
Y'?
Answers
Answer:
(-3,-5)
Step-by-step explanation:
When rotating 180˚ degrees about the origin just switch the value of the number from positive to negative or negative to positive
(2+9)+3=_+8 fill the blank and choose the property of addition
Answers
Answer:
6
Step-by-step explanation:
(2+9)+3 you will get 14
14-8 is 6
Like please help-and show work!
Answers
Arun's family took a road trip to Niagara Falls. Arun fell asleep 69% of the way through the trip. If Arun fell asleep after they had travelled 690 miles, what was the total length of the trip?