Answer:
78.151 (approximately)
Step-by-step explanation:
To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r²
=140/360×π×8²
=7/18×3.41×64
=7/18×157/50×64
=7/9×157/50×32
=7/9×157/25×16
=17584/225
=78.151 (approximately)
Y’all I need it by today please
Find the equation of the quadratic function y = ax^2+ bx + c which
passes through the points (-1, 9), (2, 3), and (5, 15).
Answer:
y=(x-1.5)^2+2.75
Step-by-step explanation:
Hope I could help!
Enter the solution to the equation in the box.
2(x−3)=8(x−6)
Answer:
x=7
Step-by-step explanation:
2(x−3)=8(x−6)
2x-6=8x-48
2x-8x=-48+6
-6x=-42
x=7
Maria made two batches of fruit punch. The table at the right shows how many quarts of juice she used for each batch. Write an equation that relates the proportional quantities. Convince Me! How does the equation change if the amount of grape juice is the independent variable, x, and the amount of apple juice is the dependent variable, y? A table with Apple Juice (x), Grape Juice (y) and Grape Juice/Apple Juice (y/x). The first row has x as 5 and y as 8. The second row has x as 10 and y as 16. In each row, the ratio of Grape Juice to Apple Juice is a blank to be filled. The constant of proportionality is . An equation that represents this proportional relationship is =
Answer/Step-by-step explanation:
The equation that relates the proportional quantities would take the following form ---› [tex] y = kx [/tex], where,
y = amount of Grape juice (dependent variable)
x = amount of Apple juice (independent variable)
k = constant of proportionality (y/x)
✔️Using any of the given pair, say, (5, 8),
Constant of proportionality = [tex] k = \frac{y}{x} = \frac{8}{5} = 1.6 [/tex]
Substitute k = 1.6 in [tex] y = kx [/tex].
An equation that represents the proportional relationship would be:
[tex] y = 1.6x [/tex]
Or
[tex] y = \frac{8}{5}x [/tex]
How the equation would change if:
y = amount of Apple juice (dependent variable)
x = amount of Grape juice (independent variable)
The constant of proportionality would change, that is using a pair, say, (8, 5),
[tex] k = \frac{y}{x} = \frac{5}{8} = 0.625 [/tex]
Substitute k = 0.625 in [tex] y = kx [/tex].
The equation would now be:
[tex] y = 0.625x [/tex].
Or
[tex] y = \frac{5}{8}x [/tex]
Fred has one third of a cake. He shares it among 3 of his friends. How much cake does each friend get?
a one third cake
b one sixth cake
c one ninth cake
d one twelfth cake
Answer:
1/9 Is the answer
Step-by-step explanation:
Answer: C is the anwer ヾ(≧▽≦*)o
how do I turn this into a radical?
Someone help me with this pleaseeeeee
Answer:8 an 40 an 2
Step-by-step explanation:
A hot air balloon was flying at an altitude of 150 meters when the pilot decided to land by descending at a rate of 3 yards per second . For which of these functions does y represent the altitude of the hot air balloon represents the number of seconds since the pilot started her landing ? A.y=-3x+150 B. y=-3x-150 C.y=3x+150 D.y = 3x - 150
Answer:
A
Step-by-step explanation:
y = -3x + 150
I hope this is right.
What is the slope of AB?
Answer: -2/3
Step-by-step explanation:
If you want to find the slope of something, the quick way is to use [tex]\frac{rise}{run}[/tex].
In this situation, the “rise” (change in y axis) is -2 because it’s going down and the “run” (change in x axis) is 3. Therefore, it’s -2/3.
The formula to find slope is:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
(I think, if I memorized it correctly)
Evaluate the step function for the given input values.
-4, -35 x < -1
-1, -1sx<2
g(x) =
3, 25x< 4
5, x 24
9(2) =
g(-2) =
g(5) =
Answer:
I would, but the way this is set up is VERY confusing. sorry. maybe try to fix it after copying and pasting to make sure it makes sense.
The evaluated values of the step function for the given input values are as g(-2) = -4, g(2) = 3, and g(5) = 5.
To evaluate the step function g(x) for the given input values, we need to follow the conditions specified for each interval.
Given the step function:
g(x) =
-4, x < -1
-1, -1 ≤ x < 2
3, 2 ≤ x < 4
5, x ≥ 4
Let's evaluate the step function for each input:
g(-2):
Since -2 is less than -1, the condition for the first interval is satisfied. Therefore, g(-2) = -4.
g(2):
Since 2 is less than or equal to 4, the condition for the second interval is satisfied. Therefore, g(2) = 3.
g(5):
Since 5 is greater than or equal to 4, the condition for the last interval is satisfied. Therefore, g(5) = 5.
Hence, we have:
g(-2) = -4
g(2) = 3
g(5) = 5
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Solve for X
17
47
34
13
Answer:
So 180-94 =86 so then it becomes 60°, 86°, and 2x so you would then add 60 and 86 together and get 146 and 180 - 146 is 34 then divide by two and you get 17 so x=17°
Step-by-step explanation:
Sorry if that’s confusing
Answer:
x = 17
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
94° is an exterior angle of the triangle, thus
2x + 60 = 94 ( subtract 60 from both sides )
2x = 34 ( divide both sides by 2 )
x = 17
If x= −5, which equation is true?
a] 2x−4= −14
b] 3(4−x)=3
c] 2(x−4)= −14
d] 3(10−x)=21
A cone had a height of 16 inches and a radius of 14 inches . If pi is 3.14 what is the volume ?
Answer:
3284.01, brainliest if correct pls
Step-by-step explanation:
Answer:
3282 cubic inches.
Step-by-step explanation: Just times 14 times 14 since its in radius form then times by 16 then by 3.14 last divide by 3.
Ricardo borrows $1850 for 8 months at 12% interest.
What is the amount he will pay back at the end of the
loan period?
How do you know?
Answer:
Ricardo will have to pay $1776 at the end of the loan period.
I know this because if you multiply 12% to 1850 you get 222.
Now you multiply 222 to 8 which gives you an answer of 1776.
Hope this helps. :)
simplify and express in a + bi form: (12 + 3i) - (3 - 1)
Answer:
10+3i
Step-by-step explanation:
Subtract 3 and 1 which is 2, Now the equation looks like this:
(12+3i)-(2)
Multiply the negative with 2:
12+3i-2
Subtract 12 and 2:
10+3i
Answer: 10+3i
Hope this helps!
A rule for creating a pattern is given below. Rule: Multiply X by 3. Then subtract 1 from the result to get y.
Answer:
y=3x-1
Step-by-step explanation:
3 + 5p − 12 = 2p + 12
Answer:
p=7
Step-by-step explanation:
Let's solve your equation step-by-step.
3+5p−12=2p+12
Step 1: Simplify both sides of the equation.
3+5p−12=2p+12
3+5p+−12=2p+12
(5p)+(3+−12)=2p+12(Combine Like Terms)
5p+−9=2p+12
5p−9=2p+12
Step 2: Subtract 2p from both sides.
5p−9−2p=2p+12−2p
3p−9=12
Step 3: Add 9 to both sides.
3p−9+9=12+9
3p=21
Step 4: Divide both sides by 3.
3p
3
=
21
3
p=7
Hope this helps have an amazing day!!
plz help asap i need help fast asap i will mark you brainlist
Answer:
What do you need help with?
HELP ASAP PLEASE!!!!
Triangle ABC is similar to triangle PQR, as shown below: Which equation is correct? (1 point)
Create an expression that would represent the area of a triangle.
Answer:
a = 1/2 (15 *5)
Step-by-step explanation:
a = 1/2 (b * h)
1/2 (15 *5)
Answer:
1/2 (15x5)
Step-by-step explanation:
Area = 1/2bh
Jack’s car used 18 gallons of gasoline to go 468 miles. At that rate, how many gallons would be used to go 754 miles? Explain how you know.
Answer:
29 gallons.
Step-by-step explanation:
For every gallon, a total number of 468/18 miles = 26 miles could be travelled.
And hence, to travel 754 miles, a total of 754/26 gallons = 29 gallons would be needed.
Hope this helped!
random...............
What is the area of a rectangle with a width of x2 + x + 1 and a length of
3x2 - 2x - 1?
Answer:
[tex]x^{4}[/tex] + 3x³ - 3x - 1
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = lw ( l is the length and w the width ) , thus
A = (3x² - 2x - 1)(x² + x + 1)
Each term in the second factor is multiplied by each term in the first factor, then
A = 3x²(x² + x + 1) - 2x(x² + x + 1) - 1(x² + x + 1) ← distribute parenthesis
= 3[tex]x^{4}[/tex] + 3x³ + 3x² - 2[tex]x^{4}[/tex] - 2x² - 2x - x² - x - 1 ← collect like terms
= [tex]x^{4}[/tex] + 3x³ - 3x - 1
Need help ASAP!!
Find the unknown side of the triangle below.
A.) 24.5 in
B.) 13 in
C.) 20 in
D.) 25 in
Answer: B.
Explanation: That side is shorter than the other known sizes so it can’t be above 20
Answeruse pitaghora theorema
a2+b2=c2
21^2+x^2=29^2
441+x^2=841
x^2=400x=√400=20
any questions?why 3 stars tho
how do we find the value of y when x = 0
Answer:
both variables are just 0-
Write down the solution to these simultaneous equations.
y = 2x + 1
y=0.5x – 2
Step-by-step explanation:
2x +1= 0.5x - 2
X = - 2
y = 0.5x (- 2) - 2
y = - 3
( x, y ) = ( -2 , -3 )
hope it helps!
Frank went to the store and bought water, juice, and soda for everybody. Write an expression to show the total amount of beverages he bought. (Use w for water, j for juice, and s for soda.)
please help! id give you master brainlist.
Answer:
w + j + s = total amount of beverages
Step-by-step explanation:
PLZ HELP!!!
Normal vision is called 20-20 vision. These numbers are actually a ratio—a comparison of the distance you can see to the distance a normal-sighted person can see. For example, a person with 20-30 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 30 feet. Based on this knowledge, explain what the following numbers mean regarding vision.
a. 20-100
b. 20-40
A person with 20-40 vision can see up to 30 feet and a person with 20-100 vision can see up to 200 feet (No-one can see that far unless they are not human or unless they are a spirit.)
Two communication companies offer calling plans. With company x, it cost 35 cents to connect and then 5 cents for each minute.With company y, it cost 15 cents to connect and the 4 cents for each minute. Write and simplify an expression that represents how much more company x charges than company y, in cent, for n minutes
Answer:
34
Step-by-step explanation:
Subtract and divide
The amount of money company x charges than company y, in cent, for n minutes will be (20 + n) cents.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
With company x, it cost 35 cents to connect and then 5 cents for each minute.
And, With company y, it cost 15 cents to connect and the 4 cents for each minute.
Now,
Since, With company x, it cost 35 cents to connect and then 5 cents for each minute.
Hence, The cost for n minutes with company x is,
⇒ 35 + 5n
And, With company y, it cost 15 cents to connect and the 4 cents for each minute.
Hence, The cost for n minutes with company y is,
⇒ 15 + 4n
Thus, The amount of money company x charges than company y, in cent, for n minutes = 35 + 5n - (15 + 4n)
= 35 + 5n - 15 - 4n
= (20 + n) cents
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5 divide by 8 plus 9
Answer:
9.625
5 divided by 8= 0.625 + 9 = 9.625
Step-by-step explanation:
Answer:
9.625
Step-by-step explanation:
5/8=0.625, than add 9 to it, and have 9.625
Thomas has finished 50% of an art project that has taken him a total of 9 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?
Answer:
18
Step-by-step explanation:
If he has worked for 9 hours and its 50% done he has to work for 9 more hours to get it finished so he would have worked on it for 18 hours to get it totally finished
Thomas will take a total time of 18 hours to complete the entire project.
What is Percentage?Percentage of a number is the number of parts of that number in a total of 100. Percentage of a number is found by dividing the number with the whole and then multiply with 100.
Thomas has finished 50% of an art project that has taken him a total of 9 hours.
Let W be the work Thomas has to finish.
Quantity of work Thomas finished in 9 hours = 50% of W
= (50/100) × W
= 0.5W
Remaining work to complete = W - 0.5 W = 0.5W
Again he has to complete 0.5W of total work W which will take an additional 9 hours.
So the total time taken = 9 + 9 = 18 hours.
Hence the total time needed for Thomas to complete the work is 18 hours.
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