9514 1404 393
Answer:
(25/3)π
Step-by-step explanation:
A central angle of 120° is 1/3 of a circle, so the arc length will be 1/3 of the circumference:
(1/3)(25π) = (25/3)π ≈ 26.18 . . . . units
Answer:
Solution :-Circumference = 25π
Total angle made by circle = 360
Now,
120 is ⅓ of 360⁰.
⅓ × 25π = 25π/3
Hence,
Length of arc = 25π/3
[tex] \\ [/tex]
State the slope and y-intercept for the graph of the equation -8x + y = -12.
Show your work!!
Answer:
Slope is 8 and Y-Intercept is -12
Step-by-step explanation:
Move the -8x over to the right side by adding it, You are now at
y=-12+8x
Move these around and you are now at
Y=8x-12
Answer:
Step-by-step explanation:
Remark
y must have a numerical coefficient of 1. This equation does. If it does not, then you must divide through by whatever is in front of the y.To read the slope, you must have x and its coefficient on opposite sides of the equal sign. So you get y = 8x - 12 when you add 8x to both sidesNext, the y intercept is found when x = 0y = 8x - 12y = 8(0) - 12y = - 12The y intercept is -12 or in point form (0, - 12)Answer
slope = 8
y intercept = - 12
the table below shows the values for the function y=f(x). complete the table for the function y=f(1/5x).
x y
-4 -4/5
-1 -1/5
0 0
3 3/5
6 6/5
Step-by-step explanation:
So fill in the same numbers for x. then multiply them by 1/5 since the function is 1/5 times x.
Solve for a.
a² = 16
Enter your answer in the box.
a = ± =
Answer: 4
Step-by-step explanation: take the square root of 16, because the opposite of squaring a number is finding the square root, and you get a=4
x^2 + 6x + 5 = 0 by completing the square. What are the solutions?
Answer: (X+1)(X+5)
I factored it out.
Cesar does the same number of push-ups everyday. On day 7 he had done a total of 35 push-ups. How many push-up does Cesar do each day? If he continues at this rate, how many total push-ups will he have done on day 10?
Answer:
first question
5 push-ups a day
second question
50 push-ups
Step-by-step explanation:
First, you must divide 35 divided by 7 because if Cesar does the exact same amount of push-ups a day, you can divide the total number of push-ups by how many days. Which gets you your first answer 5.
Then you multiply the number of days by the number of push-ups Cesar does in a day.
10 x 5 = 50
A normal distribution of 10 and a standard of 1. What is the probability of selecting a number that is at most 9?
Answer:
0.15866
Step-by-step explanation:
The term at most 9 means = less than or equal to 9
This represented as x ≤ 9
We solve using the z score formula
z = (x-μ)/σ, where
x is the raw score = ≤ 9
μ is the population mean = 10
σ is the population standard deviation = 1
z = 9 - 10/1
z = -1
Probability value from Z-Table:
P(x ≤ 9) = 0.15866
Therefore, the probability of selecting a number that is at most 9 is 0.15866
A trapezoid has a height of 6 inches, an area of 120 square inches, and one base measuring 13 inches. Find the length of the other base.
Answer:
27
Step-by-step explanation:
Givens
b1 = 13
b2 = ?
h = 6
Area = 120
Formula
Area = (b1 + b2) * h/2 Multiply by 2
2Area = (b1 + b2)*h Divide by h
2Area/h = b1 + b2 Subtract b1 from both sides
2Area/h - b1 = b2
Solution
2*120 / 6 - 13 = b2
40 - 13 = b2
b2 = 27
It is always handy to solve an equation in the form that finds the unknown on one side. It makes the solution much easier.
Jason just got tired for a new job and will make $80,000 in his first year. Jason was
told that he can expect to get raises of $5,000 every year going forward. How much
money in salary would Jason make in his 23rd year working at this job?
Answer:
$110,080
Step-by-step explanation:
This is an arithmetic sequence because each new term is obtained by adding $5000 to the preivous term.
The general formula for such an arithmetic series is
a(n) = $80,000 + ($5,000)(n - 1)
and so in his 23rd year Jason would make
a(23) = $80,000 + ($5,000)(23 - 1), or
$110,080
Answer:
$110,080 is the answer
-4 (b + 2) = 20 answer
The number of students in a school fell from 700 last year to 646 this year. What is the percentage reduction?
Answer: 7.71%
Step-by-step explanation:
Number of students in a school last year = 700
Number of students in a school this year = 646
Reduction in the number of students = 700 - 646 = 54
The percentage reduction will be:
= Reduction in number / Last year students × 100
= (54 / 700) × 100
= 7.71%
X + 8 = -6
need this asap ty
Answer:
Solution given:
x+8=-6
x=-6-8=-14
Answer:
X = -14
Step-by-step explanation:
REAL ANSWERS ONLY! 20 points!!
Answer:
I think the answer is 85.64m
Step-by-step explanation:
how many whole numbers are between 0 and 1999
there are 2000 whole number
Directions: Select all the correct answers.
Yvette needs 5/8 of a teaspoon of salt, 2/3 of a tablespoon of baking soda, and 3/4 of a cup of sugar to bake a cake.
The order of the measurements from least to greatest are 5/8 < 3/4 < 2/3.
The order of the measurements from least to greatest are 5/8 < 2/3 < 3/4.
The numbers 5/8 and 3/4 are terminating decimals while 2/3 is a non-terminating decimal.
The numbers 5/8 and 2/3 are terminating decimals.
The number 5/8 is a terminating decimal while 3/4 and 2/3 are non-terminating decimals.
The number expands to 0.75 while expands to 0.6.
The number 5/8 expands to 0.625 while 3/4 expands to 0.75.
The order of the measurements from least to greatest are 2/3 < 5/8 < 3/4
Answer:
The order of the measurements from least to greatest are 5/8 < 3/4 < 2/3.
Step-by-step explanation:
Answer:
The numbers 5/8 and 2/3 are terminating decimals.
The order of the measurements from least to greatest are .
2/3<,5/8,<3/4
Step-by-step explanation:
study island
If x) = 4x2 - 16 were shifted 5 units to the right and 2 down, what would the
new equation be?
O A. h(x) = 4(x - 5)2 + 14
B. h(x) = 4(x + 5)2 - 17
C. h(x) = 4(x-18)2 - 5
D. h(x) = 4(x - 5)2 - 18
Answer:
D
Step-by-step explanation:
To shift h units to the right, replace x with x - h
To shift h units to the left, replace x with x + h.
To shift k units up, add k to the end of the formula for the function.
To shift k units down, subtract k from the end of the formula.
Example: [tex]y=x^2[/tex]
[tex]y=(x+2)^2+6[/tex] is [tex]y=x^2[/tex] shifted left 2 units and up 6 units.
Caution: the right/left shifts sometimes look backwards!
What is x to the nearest tenth?
Answer:
A. 37.5
Step-by-step explanation:
HELP MEHHHHHHHHH. thanks.
Answer:A
The mean is the average of all numbers, in this example it's to national averages which will have many numbers.
Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers.
7.6.2.6
What is the volume of the figure that can be
formed by the net below?
5 in
Volume =
in3
Answer: 20.6
Step-by-step explanation:
Write the equation of the line passing
through the point (2, -1) with a slope of -3.
Answer:
y = -3x + 5
Step-by-step explanation:
(2, -1); m = -3
y - y1 = m(x - x1)
y + 1 = -3(x - 2)
y + 1 = -3x + 6
y = -3x + 5
help I don't understand
Answer:
Sequence: Reflection over the y-axis, then 1 to the right and 2 down to get the triangle ABC to A'B'C.
Step-by-step explanation:
Have a nice day!
5 1/2in
10in
6 1/4in
Answer:
5 1/2in
10in
6 1/4inhhjghtdddyggkkjh
Jamal works at the recreation center 40 hours a week during the school year. He earns $8.75 an hour for 8 hours a day. Bi-weekly, he works 80 hours. Calculate his bi-weekly taxes below.
Answer:
40x8.75=$350, 80-40=40x8=$320 350+320=$670
Answer:
670
Step-by-step explanation:
which if the following is the x-corrdinate of the solution to the system shown below?
x+y=11
x-y=7
(A) x=9
(B) x=2
(C) x= 18
(D) x=14
Answer:
x = 9
hope it helps
I'm soo sad :(
any clue how to do this question?
Answer:
I think that you multiply the 2 numbers by x and b,
Step-by-step explanation:
Which expression is equivalent to 10x2y + 25x2?
5x2(2y + 5)
5x2y(5 + 20y)
10xy(x + 15y)
10x2(y + 25)
Convert the following base 10 numbers to the respective base indicated .
21 to base 2
109 to base 4
1652 to base 9
21 to base 2 is 10101
109 to base 4 is 1231
1652 to base 9 is 2235
hELP AGANI PLZ
At a school, the ratio of boys to girls is 4 : 5. the school has 900 students. How many girls are there?
Answer:
180
Step-by-step explanation:
The answer is 180 because:
[tex]5*180=900[/tex]
When the y coordinate is positive, which way do you move on the coordinate plane?
Answer:
up
Step-by-step explanation:
You would move it up the y-axis
Solve for X.
Then, Solve for Y.
Step-by-step explanation:
Refer to attachment.
Hope it helps :D
First solved for x, then for y [tex].[/tex]
