How many arc degrees are in the
minor arc?
Answer:
C
Step-by-step explanation:
[tex]65=\frac{(360-x)-(x)}{2}[/tex]
130=360-2x
2x=230
x=115
Linear Function K passes through points (-3,7) and (3,3). What is the rate of change of function K?
A) -3/2
B) -2/3
C) 3/2
D) 2/3
- 2/3 is the correct answer
Step-by-step explanation:
The rate of change of function K is -2/3. Therefore, option B is the correct answer.
What is rate of change a function?The rate of change, or the slope, is calculated as Δy/Δx , or (y2−y1)/(x2−x1). The slope-intercept equation of a line is y=mx+b , where m is the slope and b is the initial value.
Given that, linear function K passes through points (-3,7) and (3,3).
Now, the rate of change
= (3-7)/(3+3)
= -4/6
= -2/3
Therefore, option B is the correct answer.
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What is the first step in solving a quadratic equation of the form given below?
(ax + b)^2 = c
A. Divide both sides by c
B. Take the square root of both sides
C. Use the zero product rule
D. Factor out a common factor
solve
(80 + 240 x 3) ÷ 20
Answer:
Step-by-step explanation:
I take that x to be multiplication.
Combine 240 *3
(80 + 720) ÷ 20
Combine inside the brackets
80 + 720 = 800
What's left is 800÷ 20
Answer 800 ÷ 20 = 40
Cal went to his friend’s house at 11:00 a.m. He stayed there for 3 1/2 hours. What time did he go back home? SHOW WORK
Answer:
2:30 PM
Step-by-step explanation:
3 1/2 hours after 11 am is 2:30 pm.
Answer:
coplete the table by filling in the estimated and actual elapsed time.
A triangle was dilated by a scale factor of 4. If tan a° = four thirds and segment FD measures 12 units, how long is segment EF?
Answer: EF= 16 units
Step-by-step explanation:
I took the test and also EF has to be greater just by looking at the triangle.
00000 Which rectangle has the greatest area? Rectangle a that is 3.25 inches wide and 6.1 inches long or rectangle b that is 4.06 inches wide and 5.009 inches long.
PLEASE HELP ITS DUE TODAY I LOVE YOU GUYS
Answer:
Rectangle B
Step-by-step explanation:
Rectangle A:
L × B
3.25 × 6.1
19.825 inches
Rectangle B:
L × B
4.06 × 5.009
20.33654
What is 14.47 rounded to the nearest whole number
Answer:
14.47 rounded to the nearest whole number is 14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
4 is less then 5 so you do not need to go up!
If you're failing your classes but get a passing percentage on state testing will you be able to graduate Highschool? HhhHh, not me stressing- (┬┬﹏┬┬)
Multiply and simplify 5/6 ·2/7
Answer:
½
Step-by-step explanation:
first do ⅚-²/7
then take lcm of 6 and 7
then do multiply
Answer:
5/21
Step-by-step explanation:
Numerator 5 times the Numerator 2(which equals 10) over denominator 6 times denominator 7 (which equals 42) will give 10/42. Break it down by dividing both denominator and Numerator by 2 to get the final answer
Given f(x) = (x + 1)(x-2)(x + 3), what are the zeros and end behavior of the function? O 1.-2. 3. continues downward to the left and upward to the night 0-1.2.-3. continues downward to the left and upward to the right O-1.2.-3. continues upward to the left and downward to the night O 1.-2.3. continues upward to the left and downward to the night
Answer:
zeros are at x = -1, x = 2 and x = -3
continues downward to the left and upward to the right
Step-by-step explanation:
Given function:
f(x) = (x + 1)(x - 2)(x + 3)
The zeros are when f(x) = 0
⇒ (x + 1)(x - 2)(x + 3) = 0
⇒ (x + 1) = 0 ⇒ x = -1
⇒ (x - 2) = 0 ⇒ x = 2
⇒ (x + 3) = 0 ⇒ x = -3
Therefore, the zeros are at x = -1, x = 2 and x = -3
If we expand the brackets of the function we get:
f(x) = (x + 1)(x - 2)(x + 3)
= (x + 1)(x² + x - 6)
= x³ + 2x² - 5x - 6
As the leading coefficient (the coefficient of x³) is positive, the end behavior of the function is:
[tex]f(x) \rightarrow + \infty, \textsf{as } x \rightarrow + \infty[/tex]
[tex]f(x) \rightarrow - \infty, \textsf{as } x \rightarrow - \infty[/tex]
So the correct option is:
"continues downward to the left and upward to the right"
In a lottery game, each ticket cost $12. You have a 10/1000 probability of winning $300, and 50/1000 probability of winning $100. What is your expected value if you buy 1 ticket?
Answer:
80% chance of winning$100
Step-by-step explanation:
50/1000 , 10/1000
=> 0.05, 0.01
0.05 - 0.01
0.04 ÷ 0.05
0.8 × 100
=> 80%
What is 1 1/2 subtracted from the sun of 4 2/3 and 5 2/5?
Answer:
8 17/30
Step-by-step explanation:
First, we will get the sum
4 2/3+ 5 2/5 =
10 1/15
Now we do the subtraction step
10 1/15 - 1 1/2=
8 17/30
Should be your answer^
In the data set below, 2 is an outlier:
2, 6, 7, 9, 10, 7, 8, 6, 10, 7
Answer:
That is right
Step-by-step explanation:
An outlier is a number that does not fit in a data set and is does not belong because it is to high or to low. In this case it is to low.
paula bought an electric drill at 75% of the regular price.She paid 32.90 for the drill. What was the regular price?(round to the nearest cent)
Answer:
$43.87.
Step-by-step explanation:
let the regular price be x, then
0.75x = 32.9
x = 32.9 / 0.75 = $43.87
Answer:
43.87
Step-by-step explanation:
Let the regular price be T
T x 75% = 32.903T/4 = 32.903T = 4 x 32.903T = 131.60T = 43.87Which of the following equations represent a proportional relationship?
Choose all that apply.
Answer:
I tried to draw it out for you
How do you find the area of triangle with a 99-degree angle and 11 Aas the adjacent sides?
Answer:
Area = 59.8 sq units
Step-by-step explanation:
There is a very convenient area formula for the area of a triangle given two sides and the included angle.
A = 1/2•a•b•sin C°
A = 1/2(11)(11)sin 99°
A = 59.8 sq units
A cylinder has a height of 15 inches. Its volume is 3,014.4 cubic inches. What is the radius of the cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
To solve this problem where we need to find the radius:
⇒ find the relationship between height, volume, and radius
⇒ only equation that involves all these quantities is
⇒ Volume's equation = [tex]V = \pi r^2*h[/tex]
V: volume ⇒ 3014.4 cubic inchesr: length of radius h: length of height ⇒ 15 inches[tex]\pi[/tex] ≈ 3.14Let's set up our volume equation with known quantities
[tex]V=\pi r^2*h\\3014.4=\pi r^2*15\\3014.4 = 3.14*r^2*15\\960=15r^2\\r^2=64\\r=8[/tex]
*r cannot be negative thus r equals a positive 8
Thus the radius is 8.00 inches (rounded to the nearest hundredth)
Hope that helps!
Answer:
8.00 inches
Step-by-step explanation:
Given:
height = 15 inchesvolume = 3,014.4 cubic inchesTo find:
radiusCylinder’s Volume:
[tex]\displaystyle \large{V=\pi r^2 h}[/tex]Substitute given information in:
[tex]\displaystyle \large{3,014.4 = 3.14 \cdot r^2 \cdot 15}\\\displaystyle \large{3,014.4=47.1r^2}[/tex]
Solve for r by dividing both sides by 47.1:
[tex]\displaystyle \large{\dfrac{3,014.4}{47.1} = \dfrac{47.1r^2}{47.1}}\\\displaystyle \large{64 = r^2}\\\displaystyle \large{r = 8,-8}[/tex]
However, radius is a scalar value so it cannot be negative - the radius is 8 inches
Since you want in nearest hundredth then the radius is 8.00 inches
Suppose a one year subscription to a magazine cost $12.99 and a three-year subscription cost $25.98 the cost and length of the subscription are related write an equation to a model the cost of a subscription for any period of time
Answer:
y = $38.97
y = 6.495(5) + 6.495
Step-by-step explanation:
So for this problem, since it states the cost and length of the subscription are related, you can use the two subscription costs as data (or coordinate) points.
1 year = 12.99, 3 year = 25.98; so (1,12.99), (3, 25.98) use these points to calculate the average rate of change (or the slope (m)).
(y - y1)/(x - x1) = m so, (25.98-12.99)/(3 - 1) = 6.495, this is the slope, m
y = 6.495(x) + b now just pick one of the points and put in the x and y values to solve for b
12.99 = 6.495(1) + b solve for b and you discover it also = 6.495 = b
so y = 6.495(x) + 6.495 is the equation of the line, to answer their question, just pop in x=5 for the 5 years subscription cost
y = 6.495(5) + 6.495
y = $38.97
help will give thanks to the first to answer
Answer:
69
Step-by-step explanation:
Just plug in
10(9)-7(3) = 90-21 = 69
If the attendance at a baseball game is to be predicted by the equation Attendance = 16,500 − 75 Temperature, what would be the predicted attendance if Temperature is 90 degrees?
The predicted attendance if Temperature is 90 degrees will be 9750.
How to calculate the equation?From the information given, the attendance at a baseball game is to be predicted by the equation Attendance = 16,500 − 75 Temperature.
The predicted attendance will be:
= 16500 - 75(90)
= 16500 - 6750
= 9750
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geometry please help! look at attachment
Answer:
this polygon is a geometrical figure. Hope this helps you
Step-by-step explanation:
these are many reflective rays that satisfy this condition. The reflection Ray's for ended by the line between a better and it's opposite medpoint satisfy the reflection itself.
One of the reflected rays that meet this condition is shown in the figure above the line between vettex a and the metalpoint of the opposite Edge.
What is the least common multiple of 40 and 52?
Answer:
520
Please refer the attachment.
Stay safe, stay healthy and blessed.
Have a good day !
Thank you
what is the ratio of females who prefer strawberry ice cream? ( DO NOT SIMPLIFY)
Of those who prefer strawberry ice cream, what ratio are female? (DO NOT SIMPLIFY)
Answer:
The answer is 15/37.
Step-by-step explanation:
There are 15 girls who like starwberry icecream, and the total of girls is 37.
So, the ratio of girls who prefer strawberry icream to the whole group of girls, 15 out of 37 (15/37 or 15:37) like strawberry icecream.
Ryan works at the hotel 5 days a week. He spends $2.50 each
day on a roundtrip bus ticket to get to work. How much
money does Ryan earn each week after paying this expense?
Answer:
His weekly expense is $12.50. You did not mention how much he earned but you would subtract the 12.50 to find out how much he earned after his expense.
Step-by-step explanation:
A circle has a radius of 16 ft.
radians?
What is the area of the sector formed by a central angle measuring 5pi/4 radians?
Use 3.14 for pi.
Enter your answer as a decimal in the box.
NEED HELP QUICK!!!
Answer:
502.4 ft^2.
Step-by-step explanation:
Area of a sector = 1/2 r^2 α where α = central angle in radians
= 1/2 * 5pi/4 * 16^2
= 502.4 ft^2.
NO LINKS!! Part 2: Please help me with this problem
Answer:
a) 160 meters short
b) d = 200x +80y
c) (run, walk) = (2, 15), (4, 10), (6, 5)
d) see attached
Step-by-step explanation:
You're being asked to write an equation describing the gym class requirement, and to find several values of the variables that satisfy the equation.
It is convenient to write the equation first (part b).
__
b)At 200 meters per minute, in x minutes, Eric will run 200x meters. At 80 meters per minute, Eric will walk 80y meters in y minutes. His total distance covered will be ...
d = 200x +80y
__
a)In the given times, Eric's distance covered is ...
d = 200(4) +80(8) = 800 +640 = 1440 . . . meters
Eric is 160 meters short of the 1600-meter goal.
__
c)It is convenient to simplify the equation to one that lets us find one value in terms of the other.
200x +80y = 1600
5x +2y = 40 . . . . . . . . divide by 40
This will have integer solutions for even values of x in the range 0 to 8.
y = (40 -5x)/2
For x={2, 4, 6}, we have ...
y = (40 -5{2, 4, 6})/2 = {30, 20, 10}/2 = {15, 10, 5}
Eric can cover 1600 meters in (run, walk) times of ...
(run, walk) = (2, 15), (4, 10), (6, 5)
__
d)The graph is attached. We'll let you read as many values from it as you may wish.
for which value of x is the row in the table of values incorrect? The function is the quadratic function y=-1/2x^2
x = 3
x = 2
x = 0
x = 5
Answer:
x = 5
Step-by-step explanation:
For x = 5, value of y should be [tex]-12\frac{1}{2}[/tex]
Hope it helps you in your learning process.
In the triangle below, b= If necessary, round your answer to two decimal places . 29.8 22 34.5 degrees
Answer:
Since the two angles, A and C are given to be 48° ang 46.7°, respectively, the value of angle B may be calculated by difference. Note that for a triangle, the sum of the angles is 180°. This makes the angle B equal to 85.3°. By the Sine Law,
b / sin B = a / sin A
Substituting,
b / sin 85.3° = 44 / sin 48°
The value of b from the equation is approximately equal to 59.01.
Answer:
35
Step-by-step explanation:
is correct for ape x
Use the distributive property and combine like terms to simplify: 8−(r−7)
Answer:
15 - r
Step-by-step explanation:
[tex]8 - (r - 7) \\ 8 - r + 7 \\ 15 - r[/tex]