Answer:
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{-m}=\frac{1}{a^{m}}\\\\\\\frac{x^{2}y^{-3}}{x^{5}y^{2}}=x^{(2-5)}*y^{(-3-2)}\\\\ = x^{-3}*y^{-5}\\\\=\frac{1}{x^{3}y^{5}}[/tex]
Remember that exponents (or powers) of the same basis can be divided by subtracting the exponents. For example [tex]\frac{x^n}{x^m} =x^{n-m}[/tex]
Using this information, we can easily rearrange our equation to look like this:
[tex]\frac{x^2}{x^5} \frac{y^{-3}}{y^2}[/tex]
Now that the basis are the same, we can conveniently subtract the exponents to get the following result:
[tex]x^{-3}y^{-5}[/tex] or [tex]\frac{1}{x^3y^5}[/tex]. And that's the final answer.
A small radio station can broadcast in a circular range with a radius of 20 miles. About how many square miles is the area covered by this range? Use 3.14 for π.
The requried range of the radio station is given as 1256 square miles.
What is an area circle?The area of the circle is given by the pie times square of the radius.
A = πr², where r is the radius of the circle.
Here,
A small radio station can broadcast in a circular range with a radius of 20 miles.
The range is given by the area of the circle with given radius,
Area of the circle = πr²
Area of the circle = 3.14 × 20²
area of the circle = 1256 square miles
Thus, the requried range of the radio station is given as 1256 square miles.
Learn more about circle here:
brainly.com/question/11833983
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A ball is thrown into the air with a speed of 32 feet per second. The function h=32t - 16t^2 models the height of the ball after t seconds. How many seconds does it take for the ball to reach its maximum height?
Answer:
t = 1 s
Step-by-step explanation:
The function models the height of the ball after t seconds is given by :
[tex]h=32t - 16t^2[/tex]
We need to find how many seconds does it take for the ball to reach its maximum height.
For maximum height put dh/dt = 0
[tex]\dfrac{dh}{dt}=\dfrac{d}{dt}(32t - 16t^2)\\=32-32t[/tex]
So,
32-32t = 0
t = 1
So, it will take 1 second to reach its maximum height.
A cylinder and Its dimentions are shown below.
6.5A
45 ft
Which expression can be used to find V, the volume of the cylinder in cubic feet?
O (6.5)2(4.5)
O $6.5-4.5) 2
O 66.5)(4.5) 2
O $6.5)(4.5)
Answer:
45
Step-by-step explanation:
What is the solution given the expression 7x^-2 when x=3 and y=9 ?
Answer:
252
Step-by-step explanation:
Help me solve this please
Mavis is interested in whether military dependency is related to gender in American Samoa. Here is data she collected about the population of American Samoa in 2010.
Find the marginal distribution of gender in counts.
Complete question :
Mavis is interested in whether military dependency is related to gender in American Samoa. Here is data she collected about the population of American Samoa in 2010.
Millitary status _________ female ____ Male
In armed forces _________ 28 _______ 59
Millitary dependent ______ 928 ______ 781
Civilian _______________ 26393 ___27330
Answer:
Male = 0.4193
Female = 0.5087
Step-by-step explanation:
To obtain the marginal distribution of gender :
Total number of civilians (male + female)
(26393 + 27330) = 53,723
Male :
P(male) = number of male / total
P(male) = 26393 / 53,723 = 0.4912793
P(Female) = number of Female / total
P(Female) = 27330 / 53,723 = 0.5087206
Find the measures of the numbered angles in each rhombus
Answer:
2=41 1=49 3=49
Step-by-step explanation:
Angle 2 = 41 because it is directly across the given angle.
Angles 1 and 3 are equal, and the total number of degrees in the rombus are 180.
41+41=82
180-82=98
98 / 2 = 49
Angles and 3 both equal 49
Answer:
2=41°(Alternate Interior angles)
1=41°(diagonal of rhombus bisects the interior angles)
3=49°(180-82/2)
Step-by-step explanation:
what are some ratios equivalent to 7:6
Answer:
14 : 12 , 21 : 18 and 28 : 24
Step-by-step explanation:
Y/-3=1/6 HELP PLEASE
Answer:
y = -0.5
Step-by-step explanation:
Since 6 can be multiplied to -3, we can make an equation to make 6 turn into -3
6 ÷ -2 = -3
So since we did that with 6, the denominator, we do the same with 1, the numerator
1 ÷ -2 = -0.5
So the new numerator is -0.5, and the new denominator is -3
And the two fractions are the same
Chris makes a smoothie for breakfast every day. When he makes smoothies with bananas, the distribution of calories is skewed right with a mean of 248.6 and a standard deviation of 39.1. His berry smoothies have a distribution of calories that is approximately Normal with a mean of 279.1 calories and a standard deviation of 60.8. Random samples of 35 of each type of smoothie are selected. What is the probability of the banana smoothies having fewer mean calories than the berry smoothies?
Answer:
0.9937
Step-by-step explanation:
solve for x x + 18.8 = 27.9
A x=9.1
B x=46.7
C x=524.52
D x=45
Answer:
9.1 (A)
Step-by-step explanation:
27.9 - 18.8 = 9.1
hope this helps u
Write an equation to find the area of each figure.Then determine the area.Use 3 for pi.
48 calculated on my calculator and i worked it out irl your welcome
Put the following equation of a line into slope-intercept form, simplifying all fractions.
Answer:
3x - y = -3
Step-by-step explanation:
divide everything by 4, the greatest common factor. That's all you need to do.
Answer: y=3x+3
Step-by-step explanation:
12x -4y= -12
subtract 12x from both sides
-4y= -12x-12
Divide everything by -4 to make y positive and alone
y=3x+3
-1/4 ÷ (-7/9) = in simplest form?
Could anyone help! 'DON'T PUT ANY ANSWER JUST TO GET POINTS'
Answer:
9/28
Step-by-step explanation:
-1/4 ÷ (-7/9)
= -1/4 x -9/7
- x - = +
So, 9/28 #
Staci has 7 more cats than Taylor. Write an expression using x to represent how many cats Taylor has
Find the missing ANGLE
Someone plsss helpppp!!! I’ll give brainliest!!! :(((
A bicycle has a listed price of $848.99 before tax. If the sales tax rate is 8.75%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
$848.99×8.75/100
=$74.29
$848.99+$74.29
=$923.3
Simplify:
4z+3/15+8q+2/15+6z-4q
ALGEBRA 2 HELP!!!!!!
Answer:
42.667 mm to 42,673 mm
Step-by-step explanation:
42.67-0.003=42.667
42.67+0.003=42.673
Add and subtract the discreprency from the standard size.
what is the Radical of 125?
Answer:
5√5
Step-by-step explanation:
:))))))))))))))))))
Enter the value for X that makes the equation 1/2 (4x-8) + 3x = 36 true
Answer:
x = 8Step-by-step explanation:
Solve for x:
1/2 (4x - 8) + 3x = 362x - 4 + 3x = 365x - 4 = 365x = 40x = 40/5x = 8Answer:
1/2 (4x-8) + 3x =36
(4x-8+3x×2)/2=36
(4x+6x-8)=36×2
10x-8=72
10x=72+8
x=80/10=8is your answer
show all your work?
and please help me out ASAP!!
Answer:
EF = 36
Step-by-step explanation:
On a rhombus, all sides are equal because its a parallelogram so,
EF = FG
we first have to find what x equals so . . .
let's plug in the numbers
4x - 20 = 2x + 8
Now we combine like terms
we add 20 to both sides
so now it would be
4x = 2x +28
Now we subtract 2x from both sides because we want x by itself
this would equal
2x = 28
now we divide two from both sides this equals
x = 14
now we insert the numbers in the equation
4 x 14 - 20 = 36
if you have any questions feel free to ask - Mark
What are three transition words that go against an argument?
A) But
B) Conversely
C) On the other hand
D) Finally
E) Additionally
Answer:
A) But
B) Conversely
C) On the other hand
(4x+2)(x-2) can someone help me with this question?
Answer:
Use distributive property and multiply
Step-by-step explanation:
then you will get your polynomial
Answer:
if you needed it simplify its 4x^2-6x-4
helpp i am really bad with math
Answer:
1. 4y-12
2. c
For #1 you distribute the 4 to the y and the 3. 4 times 3 equals 12.
For #2 you factor out the 3 and you get 3(5x+1)
Answer:
4y-12
Step-by-step explanation:
Multiply the outside number by the numbers in the bracket.
Example:4×y=4y Because y=1
4×3=12
2.Answer C
3(5x+1)
3×5x=15x
3×1=1
Which is equivalent to 3(5x+3)
Hope this helps.
Determine the y intercept
Answer:
-9
Step-by-step explanation:
HELP MATH ._. rbiufb3fuib3fu4
Answer:
Step-by-step explanation:
9/2 is the slope. Slope defines how steep is the straight line.
Slope = change in y ÷ change in x
In this model, 9 refers to the vertical distance between two points
and 2 refers to the horizontal distance between two points.
9/2 is a positive slope. It indicates that if 'x' increases, y also increase.
simplify:
2⁴ x 10³
(-5)³ x (-2)
Answer:
hope this helps
Step-by-step explanation:
z > 0. If x < y, and z > 0 then x × z < y × z. ..
Answer:
free points thanks
Step-by-step explanation:
Imao
Find the area of the polygon A) 96 m2 B) 192 m2 C) 208 m2 D) 224 m2