======================================================
Explanation:
Plug in x = 1
f(x) = 17-x^2
f(1) = 17-1^2
f(1) = 17-1
f(1) = 16
Repeat for x = 5 to find that f(5) = -8
Now we'll use the formula below to find the average rate of change from x = a to x = b.
[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(5)-f(1)}{5-1}\\\\m = \frac{-8-16}{4}\\\\m = \frac{-24}{4}\\\\m = -6\\\\[/tex]
The average rate of change is -6
The formula is basically the slope formula, more or less. So that's why I used 'm' to represent the average rate of change.
The average rate of change on the interval [1,5] is the same as finding the slope through the lines (1, 16) and (5, -8)
At what rate, in minutes per lap, does this swimmer swim?
Answer:
1.6
Step-by-step explanation:
all u gotta do is divide 6.4 by 4:)
hope that helps!<3
Mrs. Law’s seventh grade class volunteers for two days at an animal shelter. Each day, 30% of students will be assigned to help groom animals, 50% will be assigned to walk animals, and 20% will be assigned to clean the kennels. Michaela designs a simulation to determine how likely it is that she will be assigned to walk animals both days. She assigns digits as follows:• 0, 1, 2 5 Grooming• 3, 4, 5, 6, 7 5 Walking• 8, 9 5 Cleaning Then she generates the following sets of random numbers for her simulation. 2, 9 5, 2 3, 9 0, 1 8, 3 0, 5 0, 5 8, 3 6, 8 4, 7 7, 4 1, 5 Based on the results of the simulation, what is the probability that Michaela will walk animals on: a. both days? b. one day only? c. at least one day?
Based on the results of the simulation, the probability that Michaela will walk animals on:
a. both days = 1/6
b. one day only = 2/3
c. at least one day = 5/6
What is probability?Probability is simply how likely something is to happen.
Grooming = 0, 1, 2
Walking = 3, 4, 5, 6, 7
Cleaning = 8, 9
Based on the data generated in simulation, categorizing it into "Michael will walk animals zero days/ one day only/ both days based on the digit categorization given above.
(2,9) - zero days
(5,2) - one day
(3,9) - one day
(0,1) - zero days
(8,3) -one day
(0,5) - one day
(8,3) - one day
(6,8) - one day
(4,7) - two days
(7,4) - two days
(1,5) - one day
Probability that Michaela will walk animals both days = [tex]\frac{2}{12} = \frac{1}{6}[/tex]
Probability that Michaela will walk animals one day only = [tex]\frac{8}{12} = \frac{2}{3}[/tex]
Probability that Michaela will walk animals at least one day = Probability that Michaela will walk animals one day only + Probability that Michaela will walk animals two days only = [tex]\frac{8}{12}+ \frac{2}{12} = \frac{10}{12} = \frac{5}{6}[/tex]
Learn more about probability here
https://brainly.com/question/11234923
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Pls help me I don’t understand this!!!!
Answer: D
Step-by-step explanation:
D The angle agacent to arc ML is half the degree. Your answer is 118
Answer:
D
Step-by-step explanation:
angle J is a circumference angle that insists on arc ML. the measure the angle of this arc is double of it
59 * 2 = 118 degrees
Which measure of center best represents the data?
8,8,7,8,8,8,1,8,8
Answer:
8
Step-by-step explanation:
The median is 8 since 8 is the most common number
On Saturday, the fruit and juice bar was selling 20 glasses of fruit punch an hour. By 7 p.m., they had sold 180 glasses. If their goal was to sell more than 240 glasses of fruit punch, find the number of hours, h, they must stay open past 7 p.m. to make their goal.
======================================================
Explanation:
h = number of hours past 7 pm
20h = the number of glasses sold after h hours
20h+180 = adding on the 180 glasses already sold
20h+180 > 240 is the inequality to set up
Let's solve for h
------------------
20h+180 > 240
20h > 240-180
20h > 60
h > 60/20
h > 3
They must remain open more than 3 hours past 7 pm in order to sell more than 240 glasses of juice.
The earliest that they can close is 11 pm (since 4+7 = 11).
--------------------
If h = 3, then
20h+180 = 20*3 + 180 = 240
meaning that they haven't reached their goal of getting over 240
So they have to stay open that extra hour to get past 240.
help
dhgdfdfyfyfgfgfjfgfghfhgfdhgdfh
Answer:
5=26
14=17
n=1
31n=31*1=31
what is 0.00051 convert in standard form
The answer is:
5.1 x [tex]10^-4[/tex]
PLZ HELP DUE TODAY MARK BRAINLLEST AND GIVE 25 POINTS
Answer:
592 divided by 16=37
Answer:
592 divided by 16 is 37
3 boxes on top:
5 tens + 92 = 592
Step-by-step explanation:
:)
simplify 16^x+1 +20(4^2x)/2^x-3 8^x+2
the answer is in the attachment
Hope it helps
a right triangle has legs of lengths 6 and 3, what is the length of the hypotenuse to the nearest tenth
Answer:
x = 6.7
Step-by-step explanation:
legs of a right triangle are 6,3 and hypotenuse be x
using pythagors theorem to find hypotenuse
a^2 + b^2 = c^2
6^2 + 3^3 = x^2
36 + 9 = x^2
45 = x^2
[tex]\sqrt{45} = x[/tex]
[tex]\sqrt{3*3*5} = x[/tex]
[tex]3\sqrt{5} = x[/tex]
6.70 =x
6.7 =x
The graphs of four quadratic equations are shown. Identify the number of real solutions of each equation by
dragging descriptions to each graph.
Answer:
1. 2 real solutions
2. no real solutions
3. 2 real solutions
4. 1 real solution
Step-by-step explanation:
The 'solution' to a quadratic equation means the x - intercepts of a graph, so how many times the parabola crosses the x-axis.
Draw the graph of y = 2x + 1
Hoped that I helped you :)
Answer:
Step-by-step explanation:
write short note on the rules on how to bisect a line
Answer:
here the answer is
If u want nore help please follow
Step-by-step explanation:
STEP 1: Draw a straight line with a ruler. STEP 2: Put the pin of a compass at the end of the line you want to bisect. Set the compass to more than half the length of the line, and draw an arc crossing the line. STEP 3: Keep the width of the compass the same, and from the opposite end of the line draw another arc.
Answer:
First, in your compass take more than half of the given line, i.e, if the line is 5 centimeters, then in the compass take a length more than five centimeters.
Second, Draw an arc, by keeping the compass needle on one end of the line, and do the same by keeping it on the other end.
Two of the arcs will intersect at a point.
Third, do the same, but in the back-ward direction, as in the below of the line. These two will also intersect.
Lastly, draw a line connecting the intersection of the top and below arcs.
I couldnt add the last pic because of the 5 attachments rule. Like I said in the last rule, just join the two arc intersections.
Thank You
Hope u understood
help ASAP ! it’s due soon
option
(c) is correct
Step-by-step explanation:
jsjsjd
Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
7x + 2y = –1
7x + 2y = 1
14x + 4y = –1
14x + 4y = 1
Answer:
7x + 2y = 1
Step-by-step explanation:
First we find the slope m of the line
The slope of a line that passes through 2 points x1, y1 and x2 , y2 is given as
m = (y2 - y1)/(x2 - x1)
Considering the points (–3, 11) and K(1, –3), the slope of the line m
= (-3-11)/(1 --3)
= -14/4
= 7/2
the line JK may be given as
y - 11 = -7/2(x - -3)
multiply through the equation by 2
2y - 22 = -7(x + 3)
2y - 22 = -7x - 21
7x + 2y = 22 - 21
7x + 2y = 1
Answer:
B
Step-by-step explanation:
7x + 2y = 1
Hi! can someone help?
Answer:
129
Step-by-step explanation:
[tex]\frac{5^{4} }{5} +4[/tex]
[tex]\frac{625 }{5} +4[/tex]
[tex]125 +4[/tex]
129
There is a spinner with 12 equal areas, numbered 1 through 12. If the spinner is spun one time, what is the probability that the result is a multiple of 3 and a multiple of 4?
Answer:
1/12
Step-by-step explanation:
multiple of 3 and a multiple of 4 implies it can only be 12.
Since you only have the numbers from 1 to 12,
the prob(the 12) = 1/12
can someone please help
Answer:
Concurrent as my perception
the slope of the line
Answer: -2
Explanation: On the image we can see it goes down 4 units and right 2. Giving us the slope [tex]\frac{-4}{2}[/tex]
Simplified that is -2 which is the slope of the line
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
Im not positive but its either c or d
The picture is above I’ll mark as brainliest.
Answer:
?=5
Step-by-step explanation:
So let's do 16-6 (3*2)
10/2=5
Answer: ?=5
Step-by-step explanation:
In a rectangle the opposite sides are congruent (same length).
So we have ?+?+3+3=16
Let's use a variable for ?
x+x+3+3=16
Since there are 2 of the variable x we can write it as 2x since 2 of something means it's doubled. We can also combine 3 and 3.
2x+6=16
Let's subtract 6 from both sides.
[tex]2x+6-6=16-6\\2x=10[/tex]
Now let's divide both sides by 2 to find the value of x (which is ?)
[tex]\frac{2x}{2} =\frac{10}{2} \\x=5[/tex]
The value of x/? is 5.
pleaseeeee helppp meee!!!
Answer: 32x-48 should be your answer
Step-by-step explanation:
Answer:
32x - 48Step-by-step explanation:
-4(-8x + 12)
= -4 × (-8x) + (-4) × 12
= 32x + (-48)
= 32x - 48 (Ans)
what is the area and the perimeter of this figure?
someone plzz helpp mee !
show full working outs
i only have 15mins to finish this assignment
Answer:
area=54
perimeter=30
Step-by-step explanation:
add all the sides=p
multiply 6 and 3 then 6 and 6 and add them together=a
Answer:
perimeter = a+b+c+d+e+f+g
= 6 +3+2+6+6+2+3= 28
area=first of all find the area one by one
area of the lying rectangle is.
a=l×b
but first let's add 3+3 =6
b=6
a=6×6
a=36
area of the standing rectangle
a=l×b
let's add 6+6=12 &2+2=4
a=l×b
a=12×4=48
then let's add both area together
36+48=84
therefore perimeter is 28 and area is 84
Step-by-step explanation:
why is double 6 is because the length are the same.
If f(x) = 5x² – 2x + 7 and g(x) = -2x2 +6x + 3
then f (x)-g(x) =
Answer:
7x² - 8x + 4
Step-by-step explanation:
f(x) - g(x)
= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis by - 1
= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms
= 7x² - 8x + 4
Sarah uses 3/4 pound of blueberries to make 2/3 cup of jam. How many pounds of blueberries does she need to make one cup of jam
Answer:
1/12
Step-by-step explanation:
i belive this is the answer
What is the value of x?
Answer:
29
Step-by-step explanation:
The right triangle is isosceles triangle so we have the left angle of it is:
180-64=116
116÷2=58
Then start to calculate the left triangle angles:
180-58 = 122
180-122 = 58
58÷2 = 29
HELP pleaseee..!!!!!!!!!!!!!
Answer:
a) 9yd
b) 12ft
Step-by-step explanation:
a) find the square root
b) divide 48 by 4
Measurement and Geometry
11. What would the total interior angles be for a 21 sided shape?
Answer:
sum_of_interior_angles = (number_of_sides - 2) x 180° → if number_of_sides is 21: sum = (21 - 2) x 180° = 19 x 180° = 3420°
Step-by-step explanation:
Answer: 3420 degrees
Explanation: You use the formula 180(n-2) with n = 21 to find the answer above.
Find the surface area.
1 m
10 m
Answer:
[tex]A=69.11\ m^2[/tex]
Step-by-step explanation:
Given that,
The radius of cylinder, r = 1m
Height of the cylinder, h = 10 m
We need to find the surface area of the cylinder. The total surface area of a cylinder is given by :
[tex]A=2\pi r^2+2\pi rh\\\\A=2\pi r(r+h)[/tex]
Put all the values,
[tex]A=2\pi \times 1(1+10)\\\\=69.11\ m^2[/tex]
So, the surface area of the cylinder is equal to [tex]69.11\ m^2[/tex].
Can predictions be made of a scatterplot that shows no association? Explain your answer.
Answer:
There is no relationship between the variables.
There is no pattern between the variables.
No reliable predictions are possible.
Step-by-step explanation:
this is the exact answer on edge 2021
Answer:
No, because no association means there is no relationship between the variables. So there is no pattern that results in reliable predictions.
Step-by-step explanation:
its the sample response