Answers
Answer:
Step-by-step explanation:
[tex]a^{-m}=(\frac{1}{a})^{m}\\\\\\1)7^{-2}=(\frac{1}{7})^{2}\\\\\\2)(\frac{2}{3})^{-3}=(\frac{1}{\frac{2}{3}})^{3}\\\\=(\frac{3}{2})^{3}[/tex]
Answer:
1) D.
2) A
Step-by-step Explanation:
1) [tex]7^{-2}[/tex]
= [tex](\frac{1}{7})^2[/tex]
2) [tex](\frac{2}{3})^{-3}[/tex]
= [tex](\frac{3}{2})^{3}[/tex]
Related Questions
In right triangle ABC, ∠C is a right angle and sin A = sin B. What is m∠A?
Answers
Answer:
If sinA = sinB, that means that ∠A = ∠B. Because this is a right triangle, ∠A = 45°.
Solve for the value of x that would make line a parallel to line t?
Answers
Answer:
The value of [tex]x[/tex]:
[tex]x = 44[/tex]
Step-by-step explanation:
Find the value of [tex]x[/tex]:
[tex]2(x + 10) = 3(x-8)[/tex]
Use Distributive Property:
[tex]2(x + 10) = 3(x-8)[/tex]
[tex]2x +20 = 3x - 24[/tex]
-Subtract both sides by [tex]3x[/tex] and combine both [tex]2x[/tex] and [tex]-3x[/tex] together:
[tex]2x +20 - 3x = 3x - 3x - 24[/tex]
[tex]-x + 20 = -24[/tex]
-Subtract both sides by [tex]20[/tex]:
[tex]-x + 20 - 20 = - 24 - 20[/tex]
[tex]-x = -44[/tex]
Divide both sides by [tex]-1[/tex]:
[tex]\frac{-x}{-1} = \frac{-44}{-1}[/tex]
[tex]x = 44[/tex]
So, the final answer would be [tex]x = 44[/tex].
Ling likes to listen to different types of music. One afternoon, she listened to 4 rap and 12 country songs. How can you describe the relationship between rap and country songs? Check all that apply.
1. For every 12 rap songs Ling listened to, she listened to 4 country songs.
2. For every rap song Ling listened to, she listened to 3 country songs.
3. Ling listened to 3 times as many country songs as rap songs.
4. Ling listened to a ratio of 4 rap songs to 12 country songs.
Answers
Answer:
For every rap song Ling listened to, she listened to 3 country songs.
Ling listened to 3 times as many country songs as rap songs.
Ling listened to a ratio of 4 rap songs to 12 country songs.
Step-by-step explanation:
Answer:
2,3,4
Step-by-step explanation:
How much water can a rectangular pool hold if it has a length of 30 feet, a width of 25 feet, and is 8 feet deep?
Answers
Answer:
44,886 gallons
Step-by-step explanation:
We need to find the volume
V = l*w*h
V = 30ft*25ft*8ft
V =6000 ft^3
We know that 1 ft^3 = 7.481 gallons
6000 ft^3 * 7.481 gallons/1 ft^3 = 44886 gallons
Answer:
44,883 gallons
Step-by-step explanation:
The amount of water the pool can hold can be found by calculating the volume of the pool.
We know that the pool is rectangular, and it is a three dimensional shape (3 dimensions: length, width and depth). Therefore, we can use the formula for finding the volume of a rectangular prism:
V=l*w*h
We know the length is 30 feet and the width is 25 feet. The height is also the depth, so the height is 8 feet.
l= 30 feet
w=25 feet
h= 8 feet
Substitute these values into the formula.
V= 30 feet * 25 feet * 8 feet
Multiply the numbers together.
V= (30 feet * 25 feet) * 8 feet
V= 750 feet^2 * 8 feet
V=6000 feet^3
Now, let's find how many gallons the pool can hold.
1 ft^3 is equal to 7.4805 gallons. Therefore, we can multiply 6000 ft^3 and 7.4805
6000 ft^3 * 7.4805 gallons/1 ft^3
6000* 7.4805 gallons
44,883 gallons
The pool can hold 44,883 gallons of water.
84 is 12%of what number
please hurry!!!!!!
Answers
Answer: 700
84 is 12% of What Number:
12% of 700 is 84
100% of 700 is 700, therefore 12 percent of 700 equals 84.
To check this, 12% of 700 IS 84 (Check on Calculator)
Hope this helps!!
NEED ANSWERS FAST AS CAN, I WILL GIVE BRAINLIEST TO THE RIGHT ANSWERS. 1.Using the following image, find the midpoint of the line by completing the problems below. 2.Given the points (−2,5)and (6,−1)the midpoint is? 3.Given the points (9,−4)and (−5,2)the midpoint is ? 4.Given the points (−2,−5)and (−6,7)the midpoint is...The graph doesn't go with 2-4
Answers
Answer:
Calculate distance first - so using the image we know that if we use pythogorean theorm we can get 2 vectors of this line, 1 completely vertical and one completely horizontal. Apply pythogorean theorm to the line and use for all other question. So 6^2+2^2=c^2
36+4=c^2
distance √40 half of it is √10
So we can use for this for it. (4-√10, 0-√10) so its (4-√10, -√10) for first one
Now that we dont have the image for the line we can apply the distance formula because we dont have clear view of points for #2. -2-6 = -8 then we need 5-1 = 4, -8^2+4^2 = c^2 so then sqrt(80) is distance. 2√5 is half. So then we subtract from (-5, 2) highest point on graph.( -5-√20, 2-√20).
Since this is heavily on writing I expect you to do the rest. Calculating the distance and pythogorean theorm on your own.
First 2 answers are
(4-√10, -√10)
( -5-√20, 2-√20)
i hate math bro please help me
Answers
Answer:
D
Step-by-step explanation:
D is the correct answer, (-y, x)
George used the diagram below to help determine 30% of 60. Which expression could George have used?
Answers
Answer:
(3)(6)
Step-by-step explanation:
1st. Find the answer(60*30%=18)
2nd. Find the option that equals 18 which was (3)(6)
Basically, for all of questions that ask for a different way to express it, multiply the total amount by the percentage(or decimal/fraction) and find the other expression with the same answer.
Answer:
(3)(6)
Step-by-step explanation:
i did the test
How many ways can you select 2 pieces of fruits from a basket of 8 pieces?
Answers
Answer: 56
Step-by-step explanation:
There are 8 pieces of fruit to choose from.
When you choose the next piece, there are only 7 pieces remaining to choose from.
First pick and Second pick
8 x 7 remaining = 56
1. Kane earns an annual salary of $42,500.
He is paid twice a month with paychecks being
of equal amounts. If Medicare taxes
represent 1% of his income, then how much
will Kane bring home after Medicare taxes?
Answers
Answer:
$1753.13
Step-by-step explanation:
Kane's Annual Salary = $42,500
Gross Pay = $42,500
Net Pay = Gross Pay - 1% of Gross Pay
=42500 - (0.01 X 42500)
=$42,075
Since he is paid twice a month with paychecks being of equal amounts.
Number of Payments in a Year =12 X 2= 24
Therefore, Kane's Take Home pay after Medicare taxes
[tex]= \$42075 \div 24\\=\$1753.13$ (to the nearest cent)[/tex]
50 pts help pls...
Combine Felix's and Tyler's data. What is the mean of the combined data? Include your calculations as part of your answer. (Hint: Use a shortcut to find the answer.)
Felix
mean = 9.4
median = 7
Tyler
mean = 54
median = 66
Answers
Mean = (9.4+54)/2= 31,7
Median= (7+66)/2= 36,5
Is this what you are looking for??
A hemispherical bowl of internal diameter
36 cm
contains liquid. This liquid is to
be filled in cylindřical glasses of
diameter
6cm and
of
height
6cm. Find the
number of
glasses that can be filled
Answers
Answer: 72 bottles
Given,
internal diameter=36cm
internal radius=36/2=18cm
volume of bowl=2/3 πr³
=2/3(22/7)(18³)
=2×22×18³/7×3
=12219.4cm³
volume of bottle=πR²h
=22/7(3²)(6)
=22×9×6/7
=169.7cm³
no. of bottles required=12219.4/169.7
=72.23=72 bottles approx
The party planning committee has to determine the number of tables needed for an upcoming event. If a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people
Answers
Answer:
square table, round tables and 12
Step-by-step explanation:
The variable x represents the number of
✔ square tables
.
The variable y represents the number of
✔ round tables
.
If y = 9, find the value of x. The committee needs
✔ 12
square tables.
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)
Answers
Answer:
a
Step-by-step explanation:
The equation of the line that has a slope of 3 and goes through the point (-3,-5) will be y = 3x + 4. Then the correct option is A.
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The slope of the equation is 3. Then the equation of the line is given as,
y = 3x + c
The equation of the line is passing through the point (-3,-5), then the equation of line will be
y = 3x + c
–5 = 3(–3) + c
–5 = –9 + c
c = 9 – 5
c = 4
Then the equation of the line will be
y = 3x + 4
Thus, the equation of the line that has a slope of 3 and goes through the point (-3,-5) will be y = 3x + 4.
Then the correct option is A.
More about the equation of line link is given below.
https://brainly.com/question/21511618
#SPJ5
Jada is solving the equation shown below.
Negative one-half (x + 4) = 6
Which is a possible first step to begin to simplify the equation? Select two options.
Divide both sides of the equation by –2.
Subtract 4 from both sides of the equation.
Multiply both sides of the equation by –2.
Distribute –2 over (x + 4).
Distribute Negative one-half over (x + 4).
Answers
Answer:
Distribute -1/2 over (x - 4)
Divide both sides of the equation by -2
The first step to begin to simplify the equation is to multiply both sides of the equation by -2
To find the first step to simplify the equation.
Given:The given equation
=-1/2(x + 4) = 6
Simplification:First, we will multiply both sides of the equation by -2
we get,
x + 4 = -12
x = -12-4 = -16
Hence, the value of x is -16.
Therefore, the first step is to multiply both sides of the equation by -2.
To learn how to find the first step to simplify the equation, refer:
https://brainly.com/question/4411741#SPJ2
Suppose f(x) = x^2 and g(x) = (1/4)^2. Which statement best compares the graph of g(x) with the graph of f(x)
Answers
Answer:
g(x) is the image of f(x) after stretched horizontally by scale factor = 4
Step-by-step explanation:
The statement that best compares the graph of g(x) with the graph of f(x) says g(x) is the image of f(x) after stretched horizontally by scale factor = 4 because:
Given the function
f(x) = x² and g(x) = (1/4x)² the image of f(x) after one transformation.
The transformation shows that g(x) stretches away from y-axis.
Since the transformation is stretched horizontally. So g(x) is the image of f(x) after stretched horizontally by scale factor (I.e. by 1).
Then we use the scale factor to divide g(x)
1 ÷ ¼ = 1 x 4/1 = 4
So therefore, g(x) is the image of f(x) after stretched horizontally by scale factor = 4
How do I find the area of this figure?
Answers
Answer:
140 units^2
Step-by-step explanation:
Area of a parallelogram is base times height, A = bh. Multiply the height (10) times the base (14) to get your final answer.
A = bh
A=14(10)
A=140units^2
Write 9.13 x 10-3 as an ordinary number.
Please
Answers
Answer:
913/100 and 10/10000
Step-by-step explanation:
913/100 = 9.13
10/10000 = 10^-3
9.13 x 10^-3 = 0.00913
Answer:
0.00913
Step-by-step explanation:
9.13 x 10-3 as an ordinary number means eliminating the standard form.
10^-3 is 1/1000
Hence 9.13 x 10-3 = 9.13 × 1/ 1000
9.13/1000= 0.00913
System of Linear Equations
through Elimination
Question #1:
Solve the system of equations. Solve for 'x' and 'y' and show your work.
x- y=7
x + y = 5
Answers
Answer:
X=6
Y= - 1
Step-by-step explanation:
X-y =7
X+y =5 cross - y and y
_______
X+x =7 +5
2x= 12
X= 12/2
X= 6
Replace X in first equation:
X - y =7
6 - y =7
6 - 7 =y
y = - 1
Hope this helps you.. Good Luck!
compared to jenny, sally is 5/6 as tall and may is 4/5 as tall. How many time taller is sally than may
Answers
Answer:
25/24
Step-by-step explanation:
Let
Sally=S
May=M
Sally is 5/6 as tall
S = 5/6
May is 4/5 as tall
M = 4/5
S/M = 5/6/4/5
=5/6×5/4
=25/24
can someone help me solve this
Answers
Answer:
option 3
Step-by-step explanation:
[tex](\sqrt[3]{8})^{\frac{1}{4}x}=(8^{\frac{1}{3}})^{\frac{1}{4}x}\\\\=8^{\frac{1}{3}*\frac{1}{4}x}\\\\=8^{\frac{1}{12}x}\\\\=\sqrt[12]{8}^{x}[/tex]
PLEASE HELP I AM TIMED PEOPLE
A rectangular pyramid was sliced perpendicular to its base and through its vertex. What is the shape of the cross section shown in the figure?
A) a triangle that has the same dimensions as one of the sides of the pyramid
B) a triangle that does not have the same dimensions as one of the sides of the pyramid
C) a parallelogram that is not a rectangle
D) a rectangle
Answers
Answer:
B
Step-by-step explanation:
The figure shown is of an isosceles triangle.The triangle is not congruent with any of the faces of the pyramid thus the triangle does not have the same dimension as one of the sides of the pyramid
Answer: B
Step-by-step explanation:
1. What is 7/4 as a mixed number?
A. 17/4
B. 13/4
C. 3/4
D. 11/4
Answers
Answer:
the answer is B
Step-by-step explanation:
actually 7/4 in mixed number is 1 3/4 but i think it's just the same as the B (optional)
what is 1.8 increased by 10??
Answers
Answer:
zdsczsczscs
Step-by-step explanation:
New value =
1.8 + Percentage increase =
1.8 + (10% × 1.8) =
1.8 + 10% × 1.8 =
(1 + 10%) × 1.8 =
(100% + 10%) × 1.8 =
110% × 1.8 =
110 ÷ 100 × 1.8 =
110 × 1.8 ÷ 100 =
198 ÷ 100 =
1.98
also need help for this but dont need to much of a explanation
Answers
Answer:
Slope: 1/2
Step-by-step explanation:
Use rise over run.
Please mark BRAINLIEST! Thanks!
A recipe uses cup of brown sugar to make 18 cookies. How many cups of brown sugar are needed to make 45 cookies?
Answers
Answer:
2 and half
Step-by-step explanation:
anybody please help me :( I’m so bad with graphing
Answers
Answer:
the correct answer is D
The number 72 lies between the perfect squares blank, and blank . So, the square root of 72 lies between the numbers blank, and blank , which means the square root of 72 is blank number.
Answers
Answer:
The perfect squares it lies between are 64 and 81
The answer is 6√2
And it lies between the numbers 8 and 9
Hope this helps.
Answer:
the real answer is 64 -75 8-9
72 is a rational number
Step-by-step explanation:
1. Find the measure of
Answers
Answer:
39 degrees
Step-by-step explanation:
It is shown that there is a 90 degree angle one part is given so 90-51=39 degrees.
Answer:
b = 39°
Step-by-step explanation:
The box means that it is a right angle and a right angle means it is 90 degrees.
90 degrees - 51 degrees = 39 degrees
b = 39°
The distance between the Sun and the Earth is 1 .496 x 1O^8km and distance between the Earth and lhe Moon is 3.84 x 10^8m. During solar eclipse. The Moon comes in between the Earth and the Sun. What is the distance between the Moon and the Sun at that particular time?
Answers
Answer:
1.49216*10^8 km
Step-by-step explanation:
The first thing is to pass all the distances to the same unit system, since the distance from the earth to the sun is in kilometers and from the earth to the moon is in meters, therefore we will pass the distance of the moon in kilometers:
3.84 x 10 ^ 8m * 1 km / 1000 m = 3.84 x 10 ^ 5 km
To calculate the distance between the moon and the sun, it would be the difference between the distance they give us in the statement, because they have a point in common which is the earth, it would be:
1.496 x 10 ^ 8 km - 3.84 x 10 ^ 5 km = 149216000 = 1.49216 * 10 ^ 8 km
Therefore the distance between the moon and the sun is 1,49216 * 10 ^ 8 km