Answers
Answer:
4^5/4^2
Step-by-step explanation:
4^5/4^2 = 4^3
All the others are equal to 1 / 4^3.
Answer:
All the following expressions are equal expect
[tex]\dfrac{4^{5}}{4^2}[/tex]
Step-by-step explanation:
[tex]\sf \dfrac{1}{4^3}\\\\\dfrac{4^2}{4^5}=\dfrac{1}{4^{5-2}}}=\dfrac{1}{4^3}\\\\4^{-3}=\dfrac{1}{4^{3}}[/tex]
But,
[tex]\sf \dfrac{4^5}{4^2}=4^{5-2}=4^{3} \ which \ differs \ from \ other \ three \expressions[/tex]
Exponnet law:
[tex]\sf a^{-m} =\dfrac{1}{a^m}\\\\ \dfrac{a^{m}}{a^{n}}=a^{m-n} , \ if \ m > n\\\\\dfrac{a^{m}}{a^n}=\dfrac{1}{a^{n-m}}, \ if \ m < n[/tex]
Related Questions
Find the surface area of this prism.
Answers
Answer:
252
Step-by-step explanation:
3*9 = 27
3*9 = 27
3*9 = 27
3*9 = 27
9*6 = 54
9*6 = 54
3*6 = 18
3*6 = 18
Add them all up
What was the median temperature of the pond?
Answers
Answer:
70°f is the median temperature of the pond
Describe the pattern in the sequence. Find the next two terms of the difference. Show work
-2, -5, -8, -11, ...
Answers
Answer:
-2, -5, -8, -11, ... -14, -17
Step-by-step explanation:
-3 each time.
Multiply the complex numbers: (3 + 2i)(5 – 2i)
Answers
Answer:
19+4i
Step-by-step explanation:
Multiply using the FOIL method, then combine the real and imaginary parts of the expression.
FOIL
A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.
Result of multiplication of complex numbers will be 19 + 4i
Given,
(3 + 2i)(5 – 2i)
Here,
Complex numbers standard form : x ± iy
Here,
x = real part
y = complex part.
i = iota = [tex]\sqrt{-1}[/tex]
So,
Multiplication : (3 + 2i)(5 – 2i)
⇒15 -6i + 10i -4i²
Here,
i = √-1
i² = -1
So,
15 -6i + 10i -4i²
15 -6i + 10i - 4(-1)
⇒19 + 4i
Know more about complex numbers,
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I need 2, 4, 7, and 3's angles pls!
Answers
Answer:
2: 125
4: 55
7: 125
3: 125
Step-by-step explanation:
Since the top and bottom lines are parallel, 2 is equal to 6.
since angles 4+2 sums up to a straight line, its 180 degrees
125+55 is 180
same with 3, 3+4 is 180
7 is same as 3
help brainiest if right
Answers
Answer:
h = 15 ft
Step-by-step explanation:
the line from the vertex to the base is a perpendicular bisector.
then the radius r = 16 ÷ 2 = 8
using Pythagoras' identity in the right triangle formed
with hypotenuse = 17 and legs h and 8 , then
h² + 8² = 17²
h² + 64 = 289 ( subtract 64 from both sides )
h² = 225 ( take square root of both sides )
h = [tex]\sqrt{225}[/tex] = 15
An electric guitar costs $830, with a $225 full-replacement warranty. if the manufacturer sells 532,475 warranties and has to honor 12% of them, how much profit did the manufacturer gain from the warranties? a. $105,430,050 b. $66,772,365 c. $53,034,510 d. $508,726,615
Answers
The profit which the manufacturer gained from the warranties is a. $105,430,050
Calculations and Parameters:Given that count 12% of 532,475:
532,475 - 100%
x - 12%
x= 63, 897.
This means that 63, 897 guitars were sold with a full-replacement warranty and 532,475-63,897=468,578 electric guitars were sold without a full-replacement warranty.
Hence, to find the gain of the manufacturer, $225·468,578
=$105,430,050 from the warranties.
Option A is correct: $105,430,050
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Answer:
b.
$66,772,365
Step-by-step explanation:
100% on EDGE
Louis bought a giant sub sandwich for the party. He wants to cut into 6-inch sections. If the sandwich is 18.25 feet, how many sections can he cut? Solve with steps pls<3
Answers
in your calculator, type in 18.25/6.
please help me find the slope!!
Answers
Answer:
-2/3
Step-by-step explanation:
To find the slope, you can pick two points on the graph and plug them into the slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]\frac{0-2}{6-3}[/tex]
[tex]\frac{-2}{3}[/tex] is the same as [tex]-\frac{2}{3}[/tex]
hope this helps!
If the answer is correct I will give brainliest
Answers
Answer:
1,044cm
Step-by-step explanation:
46-21=25cm (the length of the top line)
30-14=16cm (the length of the other line on the left of the 21)
Split it into three rectangles, 25×16, 21×14 and 25×14
25×16 = 400cm
21×14 = 294cm
25×14 = 350cm
Add to together: 400+350+294= 1044cm
the other commenter is right
Eddie O'Neil found a sports car advertised at a local used-car dealership for
$34,000. The car is clean and in good condition. Its average retail value is
$33,400. It has air-conditioning valued at $840 and leather seats valued at $200,
but it does not include a CD player, which is valued at $100. The used-vehicle
guide indicates that $1,690 should be deducted for excessive mileage on the car.
O'Neil plans to visit the dealership this evening. What is the average retail price
for this vehicle?
Answers
Answer:
Eddie O'Neil found a car advertised at a local used-car dealership for $34,000. The car is clean and in good condition. Its average retail value is $33,400.
Step-by-step explanation:
A Ferris wheel has a radius of 80 feet. Two particular cars are located such that the central angle between them is 165º. To the nearest tenth, what is the length of the intercepted arc between those two cars on the Ferris wheel?
Answers
Answer: 230.4 feet
Step-by-step explanation:
arc length = circumfrance x fraction of a circle
= [tex]2\pi r[/tex] x [tex]\frac{165}{360}[/tex]
= [tex]\frac{2*\pi *80*165 }{360}[/tex]
= 230.4 feet to nearest tenth
The length of the intercepted arc between those two cars on the Ferris wheel is 230.4 feet. This is obtained by using the arc length formula in degrees.
Arc length:The distance across the curved length is said to be arc length.
The arc length is calculated by using the formula:
arc length = circumference × fraction of circle
⇒ arc length = 2πr × θ/360° when θ is given in degrees
where r is the radius.
Given data:Given that,
A Ferris wheel has a radius of r=80 feet
Two particular cars are located such that the central angle between them is 165° i.e., θ = 165°
Calculating the length of the arc:arc length = 2πr × θ/360°
⇒ 2π×80×[tex]\frac{165}{360}[/tex]
⇒ 230.38 feet
Rounding off to the nearest tenth, we get arc length = 230.4 feet.
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Expand and simplify:
a) -1/3{6(p+q)-3[p-2(p-3q)]}
A=-3p+4q
b) y-2/3(9x-3y)
A=-6x+3y
(The answer is written at the back of our books but I am struggling with the working I mean how to achieve the answer?)
Answers
Answer:
a) -3p +4q
b) -6x +3y
Step-by-step explanation:
Use the distributive property to eliminate parentheses. Use the properties of arithmetic to combine the numbers.
__
a)The order of operations tells you to start with the inner parentheses and work outward.
[tex]-\dfrac{1}{3}(6(p+q)-3(p-2(p-3q)))=-\dfrac{1}{3}(6(p+q)-3(p+(-2)(p) +(-2)(-3q)))\\\\=-\dfrac{1}{3}(6(p+q)-3(p-2p+6q))=-\dfrac{1}{3}(6(p+q)-3(-p+6q))\\\\=-\dfrac{1}{3}((6)(p)+(6)(q)+(-3)(-p)+(-3)(6q))=-\dfrac{1}{3}(6p+6q+3p-18q)\\\\=-\dfrac{1}{3}(9p -12q)=(-\dfrac{9p}{3})+(-\dfrac{-12q}{3})=\boxed{-3p+4q}[/tex]
__
b)Same deal for the second expression: use the distributive property and combine like terms.
[tex]y-\dfrac{2}{3}(9x-3y)=y+(-\dfrac{2\cdot9x}{3})+(-\dfrac{2(-3y)}{3})\\\\=y-6x+2y=\boxed{-6x+3y}[/tex]
Select each number that is between 535% and 6.01 x 10⁰.
10 poin
Answers
Answer:
5.9, 47/8, and [tex]\sqrt{35}[/tex]
Step-by-step explanation:
I did this before, Please Mark brainliest
Mandy drove 206 miles from Newcastle to Birmingham and stayed overnight at a
hotel costing £45. She then travelled 117 miles to London and stopped in another
hotel costing £68. From London, she drove 282 miles back to Newcastle. How many
miles in total did she drive, and what was the total cost of her accommodation?
Answers
Answer:
£113 and 603 miles.
Step-by-step explanation:
206 + 117 + 282 = 605 miles
45 + 68 = £113
£113 and 605 miles.
Instructions: Find the measure of the indicated angle.
Answers
Answer:
x = 66
Step-by-step explanation:
the triangle has 2 congruent sides and is therefore isosceles with the 2 base angles being congruent, then
x = 66
The measure of the indicated angle is 66 degree.
What is Isosceles Triangle ?An isosceles triangle has two equal sides regardless of the direction the apex (or peak) of the triangle points. Some useful information regarding isosceles triangles is as follows:
It has two parallel sides.It has two equal angles, which are known as the basis angles.A right isosceles triangle is one in which the third angle is 90 degrees.We have a Triangle.
Then, using Isosceles Triangle Theorem
Angles opposite an isosceles triangle's equal sides are also equal.
According to the isosceles triangle theorem, if two sides of a triangle are congruent, then the angles opposite the congruent sides are likewise congruent.
So, x= 66 degree.
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Simplify the expression.
2x³y +7x³y-xy³
Answers
Answer:
xy*(2x^2 + 7x^2 - y^2)
Step-by-step explanation:
You can get xy out of the expression since all have xy
solve the equation using square root method, show work
Answers
Answer:
Step-by-step explanation:
2(x+7)^2 =98
(x+7)^2 = 49 (divide both sides by 2)
(x +7) = [tex]\sqrt{49}[/tex] (square root both sides)
x + 7 = 7 ( we are not sure if this is -7 or +7, because either would work )
so we have two solutions now
x +7 = -7 or x +7 = 7
x = -7 -7 or x =7 -7 (subtract 7 from both sides)
x = - 14 or x = 0
5b+ 11 = 26
Can you help me solve this equation
Answers
Answer:
b=3
Step-by-step explanation:
i subtracted 11 with the 26 and got 15 and then I divided the 5b with the 15 and got 3
Hope i helps<33
Answer:
b=3
Step-by-step explanation:
move the constant to the right-hand side and change its sign 5b = 26 - 11
subtract the numbers 5b = 15
divide both sides of the equation by 5 b = 3
x/(x ^ 2 + 2xy + y ^ 2) + y/(x ^ 2 - y ^ 2)
Answers
Answer:
x2 + y2
_____________
(x + y)2 • (x - y)
1) Find the length of AC in the shape pictured below
Answers
Answer:
[tex]\sqrt{117}[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem by cutting rectangle ABCD diagonally.
6^2+9^2=(AC)^2
117=(AC)^2
So the length of AC is [tex]\sqrt{117}[/tex]
Please Help
A triangle has a base of 13 inches and an area of 82.5 inches. What is the height of the triangle?
Answers
Answer:
Height - 12.692 in
Step-by-step explanation:
Answer:
A = 1/2 bh
Step-by-step explanation:
Replace are and base to get:
82.5 = 1/2 x 15 x height
Multiply both sides by 2:
165 = 15 x height
Divide both sides by 15:
Height = 165 / 15
Height = 11 inches.
on the high attempts the picture was cut off and the last one is 98 in the picture
Answers
Answer:
Below in bold.
Step-by-step explanation:
Mean = (98+92+90+78+83+88+95)/7
= 89.1 to nearest tenth.
Deviations:
98 - 89.1 = 8.9
92 - 89.1 = 2.9
90 - 89.1 = 0.9
78 - 89.1 = -11.1 = 11.1 (absolute value)
83 - 89.1 = 6.1
88-89.1 = 1.1
95 - 89.1 = 5.9
So the MAD
= (8.9+2.9+0.9+11.1+6.1+1.1+5.9)/7
= 36.9/7
= 5.27
= 5.3 to nearest tenth.
The circumference of a globe is 16pi inches. what is the volume of the globe? show your work. use 3.14 for pi
Answers
Answer:
v=2144.66
Step-by-step explanation:
formula: 4/2 (pi) (r)³
................
Answer:
V = 2143.573333333333.... in³
Step-by-step explanation:
Formula for volume -> V = 4/3 πr³
We know the circumverence now we need to et the radius.
Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.
Divide the diameter by 2.
There you go, you found the circle's radius.
16pi/pi = 16/2 = 8
V=4/3πr³
V=4/3π8³ = 2143.5733333333333333333333333333333333333333333333333333333333333...
Describe a real-life situation that you can represent with an inequality.
Answers
Answer:
Think about the following situations: speed limits on the highway, minimum payments on credit card bills, number of text messages you can send each month from your cell phone, and the amount of time it will take to get from home to school. All of these can be represented as mathematical inequalities.
Step-by-step explanation: Got this online hope it helps
What is the slope of the line shown above?
Answers
Answer:
1/4
Step-by-step explanation:
we can take two points on the line: (0,2) and (4,3)
to find slope:(2-3)/(0-4)
1/4
A town has a population of 72,700 and grows at a rate of 3.5% every year. Which equation represents the town’s population after 4 years?
Answers
Answer:
for 4 years: [tex]72,700 + 1.035^4(72,700)[/tex]
For n years: [tex]72,700 + 1.035^n(72,700)[/tex]
Step-by-step explanation:
Since each year the growth rate is 3.5 of the last year, n will represent the number of years.
[tex]72,700 + 1.035^n(72,700)[/tex]
Therefore since n is 4, the equation will be:
[tex]72,700 + 1.035^4(72,700) =72,700 + 1.15(72,700)[/tex]
Therefore this equation represents the town after four years.
Answer:
P=72,700(1+0.035)(1+0.035)(1+0.035)(1+0.035)
Step-by-step explanation:
Liam sells artwork for $135.00 per piece. Determine how many pieces of art Liam needs to sell to break even if the variable cost per piece of art is $21.45 and the fixed expenses are $35,654.70 per year.
a.113
b.215
c.301
d.314
Answers
Answer:
D. 314
Step-by-step explanation:
135.00 - 21.45 = 113.55
35,654.70 / 113.55 = 314
50 POINTS EACH!
On a 23 question test, I got 6 wrong. What is percent did I get right? (On 100 percent scale)
Answers
Answer:
26%
Step-by-step explanation:
To calculate the percentage score which you got right in your test,
Number of questions wrong/TOTAL number of questions * 100
6/23 * 100
= 26%.
Answer:
26%
Step-by-step explanation:
Hope I was able to help. Have an amazing day.
BTW- your profile pic is super adorable! :)
Please Help fast! (not rushing ya'll and, this is not high school math)
Answers
Answer:
this
Step-by-step explanation:
doesn't need any explanation
Answer:
It should be that since the -1 3/4 is negative and 4 1/2 is positive.