The average rate of change of the function over the interval [1,3] will be around 45 which is nearest an option to 42 so option (C) will be correct.
What is a graph of a function?The link between lines and points is described by a graph, which is a diagrammatic representation of a network.
A graph consists of various points and the separation between two of them. Neither the length of the lines nor the placement of the points matters. Each component of a graph has a name, known as a node.
For example to draw the equation y = 2x +9 this will draw a straight line in the coordinate geometry.
The rate of change is given by dy/dx
The average rate of change can be given as (difference in y coordinate)/(difference in x coordinate)
Average rate of change = ( 102 - 12 )/(3 - 1 ) = 45 which is nearest to option (C) hence it will be correct.
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3.
A bag contains red marbles, green marbles and blue marbles only.
The ratio of the number of marbles of each colour is
red: green : blue =
12:5:2
There are 112 more red marbles than green marbles.
Work out the number of blue marbles.
Answer:
32
Step-by-step explanation:
Since there is 112 more red marbles than green marbles,
7 units= 112
1 unit= 112÷7= 16
2 units(no. of blue marbles)=16×2=32
. Formula of the area of a trapezoid is:
Answer:
Step-by-step explanation:
A=(b1+b2)h/2
In ΔQRS, the measure of ∠S=90°, SR = 45, QS = 28, and RQ = 53. What is the value of the tangent of ∠Q to the nearest hundredth?
Answer:
Aprox: 1.61
Step-by-step explanation:
TOA: Tan Q = Opposite/Adjacent = 45/28 ---> 1.61
Answer:
28/45≈1.6071≈1.61
Step-by-step explanation:
What is the y'intercept of the line given by the equation y = 5x + 16? !!!!
Answer:
16
Step-by-step explanation:
Y=Mx+b where m is the slope and b is the y intercept
y=5x+16 where 5 is the slope and 16 is the y intercept.
What aspects of distance learning do you hope to keep when we return to classes full time?
For some integer q, Every odd integer is of the form
(a) q (b) q+1 (c) 2q (d) 2q+1
Answer:
Every Odd Integer is of the form 2q+1
Take 5 as our test odd Number
2(5) + 1 = 11.
This works and Nothing else will from the set of Options.
SO OPTION D IS LEGIT!
PLEASE HELLLLPPPPPP PLEASSEEEE I A BEGGGING YOU
Answer:
-2 2/5
Step-by-step explanation:
The school's basketball team lost 4 times as many games as they won. They also tied 5 fewer games than they won.
If they played 43 games, how many did they lose?
А.
36
B. 32
C. 28
D. 24
E. 20
Answer:
a.36
Step-by-step explanation:
tie is not sure of winning or lose
so,5 tied may consider as lose too
At a carnival game, the chance of winning a prize is 0.45. Kylee plays the game 3 times. Using the table, what is the probability that she wins at least 1 prize? (Table shown in attached image)
A.) 0.41
B.) 0.58
C.) 0.83
D.) 0.91
Answer:
I think the answer is C 0.83 based on the math I did
Step-by-step explanation:
The probability of winning one prize in 3 attempts is P = 0.41, so the correct option is A.
How to find the probability?
We know that the probability of winning a prize is 0.45, then the probability of not winning a prize is:
q = 1 - 0.45 = 0.55
Out of 3 attempts, the probability of winning one prize is:
P(1) = (0.45)*(0.55)^2*p
where p is the number of permutations, you can win on the first attempt, second attempt, or third attempt, so there are 3 permutations.
Then the probability is:
P(1) = (0.45)*(0.55)^2*3 = 0.41
So the correct option is A.
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please help i have an exam next week and im really stuck on this
Answer:
Area = 96 square cm
Step-by-step explanation:
Area of the figure = (2 x Area of triangles) + Area of square
[tex]Area \ of \ triangle = \frac{1}{2} \times base \ height = \frac{1}{2} \times 8\times 4 = 16cm^2\\\\Area \ of \ square = side \times side = 8 \times 8 = 64cm^2[/tex]
Therefore, [tex]Area \ of \ the\ figure = (2 \times 16) + 64 = 32 + 64 = 96cm^2[/tex]
Please solve, f(x) = mx + b
Answer:
[tex]m = \frac{4 - 3}{3 - 6} \\ m = \frac{1}{ - 3} \\ f(x) = \frac{ - 1}{3} x + 5
Which mathematical property is demonstrated below? 3 + 0 = 3
Identity Property
Indemnify Property
Idiocy Property
Idolatry Property
Answer:
IDENTITY PROPERTY i hope it is helpful plz marks me branily9514 1404 393
Answer:
Identity Property
Step-by-step explanation:
The identity property of addition is illustrated.
The identity element is 0. It is the additive identity element because the original value retains its identity when 0 is added.
What is the length of the missing leg?
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2+b^2=c^2
15^2+a^2=17^2
a^2=289-225
a^2=64
a=[tex]\sqrt{64}[/tex]
a=8
Find the value of x that makes ABCD a parallelogram.
D
с
X + 40°
70°
70°
X + 40°
А
B
O A. x = 40°
B. x = 50°
O c. x = 70°
O D. x = 30°
HELPPP MEEE PLSSS ASAPPPP !!!!!
The value of x that makes ABCD a parallelogram is C. x = 70°.
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal.
Given that ABCD is a parallelogram.
We know that opposite angles of a parallelogram are equal.
It is already given.
Also, adjacent angles of a parallelogram is equal to 180°.
So,
x + 40 + 70 = 180
x + 110 = 180
x = 180 - 110
x = 70
Hence the correct option is C. x = 70°.
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2.5 km= M
Help me please
Answer:
2,500
Step-by-step explanation:
Have a good day :)
Please help with this
Answer:
C and D
Step-by-step explanation:
an input gives one output
if there are 300 calories in 100 g of a certain food, how many calories are there in a 30 g portion of food
Answer:
90 calories
Step-by-step explanation:
Calories : quantity of food
there are 300 calories in 100 g of a certain food
300 calories : 100 g food
how many calories are there in a 30 g portion of food
Let x = number of calories
x calories : 30 g food
Equate both ratios
300 calories : 100 g food = x calories : 30 g food
300/100 = x/30
300 * 30 = 100 * x
9000 = 100x
x = 9000/100
x = 90
x = number of calories = 90 calories
NEED HELP PLSSSS I DONT KNOW THE ANSWER
Answer:
[ 3 , ∞ ) Set-Builder Notation:
{ x | x ≥ 3 }
Step-by-step explanation:
GI = 6, HI = 8, DT = 12, what is IE?
a.12
b.16
c.8
d.4
Answer:
Option D
Step-by-step explanation:
By the property of intersecting chords,
If two chords are intersecting at a point inside a circle, product of lengths of the line segments on each chord is equal.
DI × EI = HI × GI
12 × EI = 8 × 6
EI = [tex]\frac{48}{12}[/tex]
EI = 4
Therefore, Option D is the correct option.
use the picture to find each of the following
[tex] \large{ \tt{☄ANSWERS \: + \: REASONS}} : [/tex]
[tex] \large{ \tt{ \angle \: 7 = \boxed{ \tt{38 \degree}}}} \: ( \text{Being \: alternate \: angles)}[/tex][tex] \large{ \tt{38 \degree + \angle 4 = 180 \degree}}( \text{Sum \: of \: co - interior \: angles}[/tex][tex] \: \: \: \: \: \large{ \tt{ ↦\angle \: 4 = 180 \degree - 38 \degree = \boxed{ \tt{142 \degree}}}}[/tex]
[tex] \large{ \tt{ \angle \: 1 = \angle \: 4 = \boxed{ \tt{142 \degree}( \text{Being \: vertical \: angles)}}}}[/tex][tex] \large{ \tt{ \angle \: 8 = \angle \: 4 = \boxed{ \tt{142 \degree} \text{(Being \: corresponding \: angles)}}}}[/tex][tex] \large{ \tt{ \angle \: 6 = \angle \: 1 = \boxed{ \tt{142 \degree} \text{(Being \:corresponding \: angles) }}}}[/tex][tex] \large {\tt{ \angle \: 2 = \boxed{\tt{38 \degree}}\text{(Being \: corresponding \: angles)}}}[/tex][tex] \large{ \tt{ \angle \: 3 = \boxed{\tt{38 \degree} }\text{(Being \: alternate \: angles)}}}[/tex]
[tex] \large{ \tt{✺ \: TIPS} }: [/tex]
If you have planned for study at 8:00 and now it's 8:05 then don't wait for 9 : 00 , Start studying that subject right now ! ♪[tex] \large{ \tt{❃ \: LEARN \: ABOUT \: ALTERNATE \: , CORRESPONDING\:AND \: CO - INTERIOR \: ANGLES}} : [/tex]
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Tabitha was shooting free throws in gym class. She completed 7 of the shots, which was a third of 4 more than Joan completed. What is the number of free throws, n, that Joan completed?]
Answer:
17
Step-by-step explanation:
the following equation can be derived from the question
7 = 1/3(4 + n)
multiply both sides of the question by 3
21 = 4 + n
combine like terms
21 - 4 = n
n = 17
Which statement describes the linear graph
Answer:
B.
Step-by-step explanation:
please help i have to leave soon!! will give brainliest and no links hurry plezzz
Answer:
1/18
Step-by-step explanation:
There are 2 ways to get the sum of 11
5,6 and 6,5
therefore 2/36=1/18
Can you help find the ratio?
Answer:
here you go (could i maybe get the crown thing)
Step-by-step explanation:
ok so we have to take a look and see what kind of ratio this is going to be
so we look and it shows its SIN (o/h)
so what that means is that A= o/h
o=12 and h=22
so your answer would be A=12/22
Please HELP ME ASAP quick
3 trips-
2 * 2 = 4
3 * 2 = 6
5 * 2 = 10
Therefore, working together, the squirrels would only collect 20 acorns during two trips.
This means they would need to take three trips to collect 24 acorns with a remainder of 6 acorns.
2 * 3 = 6
3 * 3 = 9
3 * 5 = 15
30
30-24 = 6
determine the value of x
Answer:
12x-4 =80
12x =84
x. =7 ,,
PLS HELPPP
Select the representations that do not change the location of the point (9,100°)
a. (-9,280°)
b. (-9,260°)
c.(-9,-80°)
d.(9,-260°)
Answer:
d. (9,-260°)
Step-by-step explanation:
100° = 100-360 = -260°
A Ferris wheel car moves from point C to point D on the circle shown below:
Circle A is shown with points C and D on the circle and the central angle C A D marked 45 degrees. The diameter is 15 feet.
What is the arc length the car traveled, to the nearest hundredth?
5.89 feet
6.23 feet
7.46 feet
8.15 feet
Answer:
5.89 feet.
Step-by-step explanation:
I just took the test :)
The arc length the car traveled, to the nearest hundredth is 5.88 feet, the correct option is A.
What is a Circle?A circle is a round-shaped figure with all points lie in the same plane, the distance between all the points on the circle and the center of the circle is equal.
The line that passes through the center of the circle and has end point on the circumference is called the diameter, the radius is half the measure of the diameter.
A Ferris wheel car moves from point C to point D on the circle.
Circle A is shown with points C and D on the circle and the central angle C A D marked 45 degrees.
The diameter is 15 feet.
The arc length is determined by using the formula
L = ( [tex]\rm \theta[/tex]/ 360) * 2 π r
L = ( 45 / 360) * 2 * 3.14 * r
r = diameter / 2
r = 15/2 = 7.5 ft
L = ( 45 / 360) * 2 * 3.14 * 7.5)
L = 5.8875 ft
L = 5.89 feet.
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2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250 to 300. A line divides the box at 375. For Resort B, the whiskers range from 200 to 400, and the box ranges from 300 to 375. A line divides the box at 325.
Compare the two box plots to determine where Kevin should plan to go for vacation. Which statement is true?
Resort A gets more snowfall than Resort B.
Resort A gets between 250 and 400 inches of snow each year.
Resort B gets more snowfall than Resort A.
Resort B gets between 250 and 350 inches of snow each year.
Answer:
The answer is C (Resort B gets more snowfall than Resort A)
Step-by-step explanation:
According to the diagram, Resort A gets 375 inches of Snowfall, and Resort B gets 400. 375 < 400
Pleaseeeeeeeee helppppp someone pleaseeeeeee I’m begging uuuuuuuuuuuu
Answer:
x=6
ABC= 135 degrees
Step-by-step explanation:
ABE and CBD are congruent angles (don't remember the theorem)
therefore
3x+27=45
solve for x
x=6
ABC and CBD are supplementary (meaning they add to 180)
Answer:
6
Step-by-step explanation: