Answer:
[tex]5^{12}[/tex]
Step-by-step explanation:
Lets say there's a number 'x' and there's an expression [tex](x^a)^b[/tex] where 'a' & 'b' are also numbers , the simplified form of the expression is [tex]x^{a \times b}[/tex].
So ,
[tex](5^4)^3 = 5^{4 \times 3} = 5^{12}[/tex]
Find the average of the following grades to the nearest whole number:
51, 70, 97, 63, 50, 31, 59, 51, 59, 50
Answer:
58
Step-by-step explanation:
To get the average, you add all of the numbers and then divide by the amount of numbers.
51 + 70 + 97 + 63 + 50 + 31 + 59 + 51 +59 + 50 = 581.
581 ÷ 10 = 58.1
Then, rounding 58.1 is 58
What is the image of the point (-7,-8)(−7,−8) after a rotation of 270^{\circ}270 ∘ counterclockwise about the origin?
The image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).
What is counterclockwise ?
Counterclockwise is a direction of rotation that is opposite to the direction of the hands on a clock. It is also known as anticlockwise in some parts of the world. When viewed from above, counterclockwise rotation goes in the direction of a left-handed spiral, while clockwise rotation goes in the direction of a right-handed spiral. In mathematics, physics, and other fields, counterclockwise is often used as a standard convention for the positive direction or orientation of angles, planes, and other geometric objects. In graphical user interfaces, counterclockwise rotation is often used to indicate an undo or reverse action, while clockwise rotation is used to indicate a redo or repeat action.
According to the question:
When a point is rotated by 270 degrees counterclockwise about the origin, the new point is found by switching the x and y-coordinates of the original point, and negating the new x-coordinate. So, to find the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin, we can use the following formula:
(x', y') = (-y, x)
where (x, y) is the original point and (x', y') is the new point after the rotation
Plugging in the values from the given point, we get:
(x', y') = (-(-8), -7)
Simplifying this expression, we get:
(x', y') = (8, -7)
Therefore, the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).
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PLS HELP! (THE QUESTION IS A PICTURE CLICK ON THE QUESTION FIRST)
Answer:
m+ p+ q= 180°
m+76°+72°=180°
m+ 148=180°
m=180°-148
m=32°
Suppose y varies directly with x and y = 25 when x = 140. What is the value of x
when y = 36?
Answer:
201.6
Step-by-step explanation:
y varies directly as x
y = kx... "k" is the constant
y = 25, x = 140
25÷140 =k × 140÷140
k = 0.17857
y = 0.17857 × x
when y = 36 what is x
36 = 0.17857 × x
x =36÷0.17857 =201.6
standard deviation of the data. 160,220,220,249,190
Answer:
Population: 30.32. Sample: 33.99
What is the area of the shape below?
Answer:
30 yd²
Step-by-step explanation:
Hello There!
The shown figure is a trapezoid
The first thing we need to do is figure out what the formula for area of a trapezoid is
[tex]A=\frac{a+b}{2} h[/tex]
where a and b = bases and h = height
we are given all of the dimensions so all we have to do is plug in the values
a = 9
b = 6
h = 4
[tex]A = \frac{6+9}{2} 4\\6+9=15\\\frac{15}{2} =7.5\\7.5*4=30[/tex]
so we can conclude that the area of the figure is
30 yd²
~TheMathWiz
Answer:
30
Step-by-step explanation:
first you find the area of the rectangle the formula is A=wl
A=6*4=24
Then find the area of the triangle the formula is A =h b/2
A=4 3/2
6
the base is 3 because the whole bottom is 9 but the base of the square is 6 and so 9-6=3
now add them together
24+6=30
Does 135, 45, 15,5,represent a
geometric sequence?
Answer:
yes
Step-by-step explanation:
Each time it is divided by three!
This is the full question if you can please solve this it’s really important.
A machine cuts three circles of the same size from a rectangular sheet of
metal as shown.
Answer:
[tex]\huge\boxed{\sf 11.74\ in.\²}[/tex]
Step-by-step explanation:
Area of Rectangle:
Length = 11.8 in.
Width = 3.6 in.
Area = Length * Width
Area = 11.8 * 3.6
Area = 42.48 in.²
Area of 3 circles:
Diameter = 3.6 in.
Radius = D/2 = 3.6/2 = 1.8 in.
[tex]\sf Area = \pi r^2\\\\Area = (3.14)(1.8)^2\\\\Area = (3.14)(3.24)\\\\Area = 10.18\ in.^2[/tex]
Area of 3 circles = 3(10.18) = 30.5 in.²
Area of the figure when the 3 circles are cut:
= Area of the rectangle - Area of 3 circles
= 42.28 - 30.5
= 11.74 in.²
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Lucy has 25600 in savings account that earns 2% interest per year the interest is not compounded how much would you have in 3 months
Answer:
25728
Step-by-step explanation:
Amount i would have in 3 months = simple interest + amount deposited
Simple interest = principal x time x interest rate
Principal = 25600
Interest rate = 2%
Time = 3/ 12 = 0.25
25,600 x 0.02 x 0.25 = 128
Total amount = 25,600 + 128 = 25728
Darnell and Hector ride their bikes at constant speeds. Darnell leaves Hector’s house to bike home. He can bike the 8 miles in 32 minutes. Five minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch up. He can ride to Darnell’s house in 24 minutes. Assuming they bike the same path, write the liner equation that represents darnells constant speed
9514 1404 393
Answer:
s = (8 mi)/(24 min/(60 min/h))
Step-by-step explanation:
Let s represent Darnell's constant speed. We know that speed, distance, and time have the relationship ...
speed = distance/time
Darnell's speed in miles per hour is ...
s = (8 mi)/(24 min/(60 min/h)) . . . . equation representing Darnell's speed
_____
This simplifies to ...
s = 20 mi/h
Solve the inequality a+4/2>16
Answer:
a > 14
Step-by-step explanation:
I hope this helps!
The solution to the inequality expression a + 4/2 > 16 is a > 14
How to solve the inequality expression?The inequality expression is given as:
a + 4/2 > 16
Divide 4 by 2
a + 2 > 16
Subtract 2 from both sides
a > 14
Hence, the solution to the inequality expression a + 4/2 > 16 is a > 14
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The radius of each tire on Carson's dirt bike is 10 inches. The distance from his house to the corner of his street is 157 feet. How many times will the bike tire turn when he rolls his bike from his house to the corner? Use 3.14 to approximate π.
Answer:
30
Step-by-step explanation:
the street and the diameter of the bike are not measured in the same units. We have to convert them to the same units
1 feet = 12 inches
157 x 12 = 1884
circumference of a circle = 2nr
2 x 3.14 x 10 = 62.8 in
Number of revolutions = 1884/62.8 = 30
This question has two parts. First, answer Part A. Then, answer Part B. Part A Pete is making 8 identical fruit baskets as gifts. Each basket contains some apples and 12 oranges. Pete uses a total of 168 pieces of fruit to make the baskets. Which equation can be used to determine the number of apples, a, that are in each basket? Multiple choice question.
Answer:
a = 21 - 8
Step-by-step explanation:
to determine the number of apples in each basket, first determine the total number of fruits in each basket and subtract it from the number of oranges in each basket
number of fruits in each basket = 168 / 8 = 21
a = 21 - 8
HELPPPPP I NEED THIS
Answer:
D. 1.3
Step-by-step explanation:
5(1.3) = 6.5
Since the value of r is .2 less than b, b would be 1.5
2(1.5) = 3
6.5+3=9.5
12. Find the area of a circle with a circumference of 11π feet
Answer:
the area of a circle with a circumference of 11π feet is
A≈9.63
A girls feet are 4 over 6 yards from the surface of the pool a boys feet are 1 over 6 yards from the surface detemin whose feet are closer to the surface
Answer:
Boy's feet is closer
Step-by-step explanation:
Given that :
Distance from Surface of pool :
Girl's feet : 4/6 yards = 2/3 yards
Boy's feet : 1/6 yards
Comparing the two distances ;
2/3 = 0.6666
1/6 = 0.1666
Hence, 2/3 > 1/6
Therefore, distance between the boy's feet and the surface is lesser and hence closer than the girl's feet
Which among the four choices gives the difference of (x/4x²) and (3/4x²)?
Answer:
2
Step-by-step explanation:
the difference is that
Find the surface area!! Geometry!! Pls help!!
Answer::
The answer is 3037.5
Explanation::
4.5 x 7.5 x 6 x 15 = 3037.5
Answer:
319.5in
Step-by-step explanation:
First lets calculate the area of all the rectangles
2(6in * 15in) = 180in
The 2 is because there are two rectangles with the dimensions of 6in and 15in.
7.5in * 15in = 112.5in
112.5in + 180in = 292.5
Next lets calculate the area of the triangles.
4.5in * 6in / 2 = 13.5in
13.5 + 13.5 = 27in
292.5in + 27in = 319.5in
hope this helps!
could someone please help me with this problem?
Answer:
3x+4(3x−5)=25
Use the distributive property to multiply 4 by 3x−5.
3x+12x−20=25
Combine 3x and 12x to get 15x.
15x−20=25
Add 20 to both sides.
15x=25+20
Add 25 and 20 to get 45.
15x=45
Divide both sides by 15.
x= 45/15
Divide 45 by 15 to get 3.
x=3
The solid below is made from 1 foot cubes. Find the total surface area of the solid. Be sure to include the correct unit in your answer.
Explanation is in the file
tinyurl.com/wpazsebu
given f(x) = 5x4- 3x2+ 6x+2. Find f(-2)
The expressions p(200-5p)and 200p-5p2define the same function. The function models the revenue a school would earn from selling raffle tickets at p dollars each.
At what price or prices would the school collect $0 revenue from raffle sales? Explain or show your reasoning.
The school staff noticed that there are two ticket prices that would both result in a revenue of $500. How would you find out what those two prices are?
I really have no idea. If anyone could help that would be great!
The prices which the school would collect $0 revenue are $0 and $ 40 respectively.
Since the revenue R(p) = p(200 - 5p).
The price at which the school earn s $0 revenue from the raffle sales is when R(p) = 0.
So, p(200 - 5p) = 0
p = 0 or 200 - 5p = 0
p = 0 or 200 = 5p
p = 0 or p = 200/5 = 4
So, the prices which the school would collect $0 revenue are $0 and $ 40 respectively.
b. Prices at $500 revenueThe two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32
We need to find the two ticket prices that would result in a revenue of $500. So, R(p) = 500.
So, p(200 - 5p) = 500
200p - 5p² = 500
Re-arranging, we have
5p² - 200p + 500 = 0
Dividing through by 5, we have
p² - 40p + 100 = 0
Using the quadratic formula, we find the value of p.
So,
[tex]p = \frac{-(-40) +/- \sqrt{(-40)^{2} - 4 X 1 X 100} }{2 X 1} \\p = \frac{40 +/- \sqrt{1600 - 400} }{2} \\p = \frac{40)+/- \sqrt{1200} }{2} \\p = \frac{40 +/- 34.64 }{2} \\p = \frac{40 - 34.64 }{2} or p = \frac{40 + 34.64 }{2} \\p = \frac{5.36}{2} or p = \frac{74.64 }{2} \\p = 2.68 or 37.32[/tex]
So, the two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32
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Belinda went biking on Saturday and rode for 6 4/5 miles. On Sunday she rode for 2/3 of the distance she rode on Saturday. Write and solve an equation that will help you figure out how far Belinda rode on Sunday. Explain the steps you took to solve the problem.
(solve step by step)
Answer:
68/15 miles
Step-by-step explanation:
Miles she rode on Saturday = (6x5+4) / 5 = 34/5 miles
Miles she rode on Sunday = 34/5 x 2/3 = 68/15 miles --As it is stated that she rode 2/3 of the distance of Saturday's, so simply multiple it by 2/3
Eloise's aunt cut 9.5 meters of ribbon into 4 equal sections and gave one of those sections to Eloise. Her friend Amelie has 2.5 meters of ribbon. How much more ribbon does Amelie have than Eloise? Enter your answer in the box. m
Answer:
0.125 meters
Step-by-step explanation:
Eloise's aunt cut 9.5 meters of ribbon into 4 equal sections and gave one of those sections to Eloise.
The length of the ribbon given to Eloise
= 9.5 meters/4
= 2.375 meters
Her friend Amelie has 2.5 meters of ribbon.
How much more ribbon does Amelie have than Eloise?
This is calculated as:
Number of meters of ribbon Amelie has - Number of meters if ribbon Eloise has
= 2.5 meter - 2.375 meters
= 0.125 meters
Therefore: Amelie has 0.125 meters of ribbon more than Eloise
4. Jessica is saving money to buy a phone that costs $415. She already has $85 saved. She mows
lawns to make extra money. She charges $15 per lawn that she mows. Let n be the number
of lawns she needs to mow to have enough money saved to buy the phone.
Set up and solve an equation to find the value of n.
Answer:
15n = 330
Value of n(number of lawns) = 22
Step-by-step explanation:
She has already saved $85 which means the amount of money she needs left will be
=$415 - $85
= $330
Now n represents the number of lawns she needs to mow. She earns $15 per lawn, so she needs to multiply the cost of each lawn by the number of lawns (n) and equal it to the money she needs. This is how the equation will turn out.
15n = 330
To go further, divide both sides by 15 to get the number of lawns she has to mow.
[tex]\frac{15n}{15} =\frac{330}{15}[/tex]
n = 22
∴ She needs to mow 22 lawns to get the amount of money she needs.
PLEASE DON'T SPAM I NEED HELP:((
a) 1/6
b) 5/9
c) 6/5
d) 5/6
Answer:
5/6 chance of getting something greater than 4
Step-by-step explanation:
wasdwasdwasdwasdwasdwasdwasdwasd
Answer:
Yes of course I love this too
Step-by-step explanation:
Answer:
hahahahah lol..........btw thnks❤️
What are the zeros of f(x) = x2 - 12x+ 36?
A. X = -4 and x = 9
B. x = -6 only
C. x= -6 and x = 6
D. x = 6 only
Answer:
D
Step-by-step explanation:
x^2-12x+36
type into desmos and see where it touches the the line
Please help me I'm desperate!! Debbie is making bows that use 1/5 yard of ribbon each. If Debbie has 3 yards of ribbon how many can she make. Is this division or multiplication pls tell me that too.
Is parallelogram BCDE a rectangle?