The rate of change is (-1)
To solve this, we need to look at graphic to know the values of the function f(x) when x is equal to 1 and 3.
Then we have two points of the graph: (1,6) and (3,4).
The rate of change between two points is:
[tex]m=\frac{\text{change in f(x)}}{change\text{ in x}}[/tex]In this case,
[tex]m=\frac{4-6}{3-1}=\frac{-2}{2}=-1[/tex]Note that its the same whatever coordinate put first:
[tex]\frac{6-4}{1-3}=\frac{4-6}{3-1}=-1[/tex]But when you do the difference between the coordinates, make sure to respect the order: if you use the y coordinate of the point P minus the y coordinate of point Q, you must to do the same for the x coodinate; Px-Qx
Please help math 100 points its easy.
From the given statement based on different conditions following are true :
Statement 2, 3, 4 are true
As given in the question,
1. Lisa has 1 4/12 cups of grapes = 16 /12 cups
Dawn has 1 11/12 cups of grapes = 23 /12 cups
Together they have = (16/12) + (23/12)
= (39 /12) cups of grapes
Given statement of 2 1/2 cups of grapes is false.
2. Rachel has 1 7/15 cups of chocolate chips = 22/15
Maya has 8/15 cups of chocolate chips
Rachel has more cups of chocolate chips than Maya
Difference = (22/15) - (8/15)
= 14 /15
3. George has 2 5/10 cups of milk = 25 /10
Raymond has 1 1/10 cups of milk =11 /10
George has more cups of milk than Raymond
Difference = (25 /10) - (11/10)
= 14/10
= 1.4 cups of milk
≈ 1 cup of milk (approximately)
Statement is true.
4. Gavin has 1 13/14 buckets of water = 27 /14
Devin has 1 3/14 buckets of water = 17 /14
Together they have = (27/14) +(17/14)
=44/14
= 3.14
≈ 3(approximately) buckets of water
Statement is true.
Therefore, from the given statement based on different conditions following are true :
Statement 2, 3, 4 are true .
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What are the coordinates of the point on the directed line segment from (3,−3) to (7,5) that partitions the segment into a ratio of 5 to 3
The coordinates along the directed line segment is (37/7, 11/7)
How to find the coordinates of the point?The points are given as:
A = (3, -3)
B = (7, 5)
The ratio on the segment can be represented as;
m : n = 4 : 3
So, we have the coordinates of the point that lies along the directed line segment to be
Point = 1/(m + n) * (mx2 + nx1, my2 + ny1)
So, we have:
Point = 1/(4 + 3) * (4 * 7 + 3 * 3, 4 * 5 + 3 * -3)
Evaluate
Point = 1/7 * (37, 11)
Evaluate the products
Point = (37/7, 11/7)
Hence, the coordinates of the point is (37/7, 11/7)
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What is y=1x+0 in standard form?
Answer:
0
Step-by-step explanation:
Where, if at all possible, A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1 Therefore, the standard form for y = 0 is: 0x + 1y = 0
need help please
mrs dawson bought 6 new plants for her garden each plant cost $5 the store gave her a discont so she only paid 2/3 pf a ragular price for each plant
use the propertys of multiplation to find the total cost for all the plants
A. $3.33
B. $20.00
C $45.00
D. $30.00
Answer:
B
Step-by-step explanation:
6x5=30
30x2/3=20
13 gallon of water in a 3-gallon container. What fraction of the container is filled?
Answer:
1/9
Step-by-step explanation:
There is 1/3 gallon of water in a 3 gallon container. The fraction of the container that is filled is 1/9
(1/3 of a gallon divided by 3 gallons equals 1/9)
What is the answer please…
Answer:
answer is T 25............
Find the equation of the line that contains the given point and is perpendicular to the given line. Write the equation in slope-intercept form, if possible.
(2,-6); y = 2/3x-4
Answer:
Step-by-step explanation:
2
Combine multiplied terms into a single fraction
3
Find common denominator
4
Combine fractions with common denominator
5
Multiply the numbers
Which expression is equivalent to t+4+3-2t
Answer:
7-t
Step-by-step explanation:
t+4+3-2t
= t+7-2t
= -t+7 or 7-t
22. A student recorded her scores on weekly math quizzes that were marked out of a
possible 10 points. Her scores were as follows:
8, 5, 8, 5, 7, 6, 7, 7, 5, 7, 5, 5, 6, 6, 9, 8, 9, 7, 9, 9, 6, 8, 6, 6, 7
What is the mode of her scores on the weekly math quizzes?
Answer:
6 since it occurs the most times
what is x=.30(729). explain
Answer:
x = 218.7
Step-by-step explanation:
To solve for x, we multiply .30 by 729. Once multiplied, we get the answer 218.7. Therefore, x = .30(729) is the same as x = 218.7.
Which choice shows 2-3-15 rewritten correctly using the commutative property and then simplified correctly?
According to the commutative property of addition, you can rearrange the addends without altering the result.
2 + (-3) +(-15) = (-3) +(-15) +2
What is commutative property? Commutative law merely asserts that while adding and multiplying integers, you can rearrange the numbers in a problem without changing the solution. Division and subtraction do not work interchangeably.According to the commutative property of multiplication, the result will always be the same regardless of the sequence in which the numbers are multiplied.According to the associative property of addition, you can arrange the addends in several ways without changing the result. According to the commutative property of addition, you can rearrange the addends without altering the result.To learn more about : Commutative
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13 What value of x makes the equation modeled below true? PHONE 1 1 1 A x = 1 B x = -1 C x = 7 D x = -5 I
SOLUTION
Step 1 : We need to recognize the value of x in 5 places means 5 x
and the value of 1 in 6 times means 6,
so we have that: 5 x + 6 = 1 .
Step 2 : We need the linear equation: 5 x + 6 = 1
collecting like terms, we have that:
5 x = 1 - 6
5 x = - 5
Divide both sides by 5 , we have that:
x = - 1
CONCLUSION : The value of x = -1 ( OPTION B )
Brown bears attempt to catch salmon. during the day, 20% of the attempts are successful. during the night, 36% of attempts are successful. a bear tries to catch 40 fish during the day and makes 50 attempts at night. use probability to estimate the number of fish the bear caught.
The probability for the number of fish the bear caught is 0.289
Given,
Number of fish the bear tries to catch during day = 40
Number of attempts made by the bear at night = 50
Percentage of successful attempts during day = 20%
Percentage of successful attempts at night = 36%
Number of fish the bear caught during day = 40 × (20/100) = 4 × 2 = 8 fish
Number of fish the bear caught at night = 50 × (36/100) = 36/2 = 18 fish
Total number of fish the bear caught = 8 + 18 = 26 fish
Now,
Probability for the number of fish the bear caught:
Probability = Number of fish caught / Total attempts
Probability = 26 / (40 + 50)
Probability = 26 / 90
Probability = 0.289
Therefore,
The probability for the number of fish the bear caught is 0.289
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HELP ASAP NEEDS TO BE DONE BY TONIGHT
Answer: y = (5x/4) + 2
Step-by-step explanation:
Answer:
y = 5/4x + 2
Step-by-step explanation:
First, we convert 4x + 5y = 15 to slope intercept form (y=mx+b):
5y = -4x + 15
Divide both sides by five
y = -4/5 (x) + 3
The slope is -4/5
A perpendicular slope is the negative reciprocal of the other line. To find the negative reciprocal, you switch the numerator and denominator and switch the sign.
Slope = 5/4
Plug the slope and (-4, -3) into the slope-intercept form:
-3 = ( 5/4 · -4 ) + b
Isolate b (the y-intercept):
-3 = -5 + b
b = 2
y = 5/4x + 2
Which of the following is a balanced equation?
KCIO(3)-->KCI + O(2)
KCIO(3)-->3 KCI + O(2)
2KCIO(3)-->KCI + 3 O(2)
2KCIO(3)-->2 KCI + 3 O(2)
Select one:
a. A
b. B
c. C
d. D
Based on the chemical equations given, the balanced equation would be d. D.
How to find a balanced equation?In Chemistry, a balanced equation is one that has the same number of atoms on the left side of the equation, as on the right side of the equation.
The balanced equation is therefore:
2KCIO₃ -->2 KCI + 3 O₂
This is because there are 2 KCI atoms and 6 Oxygen atoms on the left side, and there are also 2 KCI atoms and 6 Oxygen atoms on the right side.
In conclusion, option D is correct.
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Your test in math class has problems worth 2 points and problems worth 4 points. Altogether the test has 100 points. Write an equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems. Let x represent the number of 2-point problems. Let y represent the number of 4-point problems. Total amount of points = point worth  x + point worth  \
The equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems will be 2x + 4y = 100.
What is an equation?An equation is used to show the relationship between the variables that are given.
In this case, the test in math class has problems worth 2 points and problems worth 4 points and altogether the test has 100 points.
Let x represent the number of 2-point problems. Let y represent the number of 4-point problems.
The appropriate equation will be:
2x + 4y = 100
This illustrates the equation
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The finish line is 253 m away. You begin to run from rest. You must reach a velocity of 53.2 m/s or you will explode. What must your acceleration be?
The acceleration require for the body to not explode will be 0.2941[tex] m/s^2 [/tex]
The finish line as given is 253m away so that distance to be covered will be 253m.
Also we had started to run from rest so that initial velocity will be 0m/s.
We should take care that we could not explode and this is possible only if we reach to the velocity of 53.2m/s. So our final velocity will be 53.2m/s.
Now average velocity will be the sum of initial velocity and final velocity divided by 2.
∴ Average velocity = (initial velocity + final velocity) / 2.
∴ Average velocity = (0 + 53.2) / 2 = 53.2 / 2 = 26.6m/s
As we know that average velocity will give us an average time of the run by formula average speed = distance / average time.
∴ Average time = distance / average speed
∴ Average time = 253 / 26.6 = 9.51s.
Now as we know by the formula to calculate acceleration we need the average velocity, average time and we have both of them.
∴ Acceleration = [tex] \frac{average\ velocity}{(average\ time)^2}[/tex]
∴ Acceleration = [tex] \frac{26.6}{(9.51)^2}[/tex]
∴ Acceleration = [tex] \frac{26.6}{90.44}[/tex]
∴ Acceleration = 0.2941[tex] m/s^2 [/tex]
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What is the
Domain??
Someone pls help me outtt
Answer:
:]
Step-by-step explanation:
[tex]-2\leq x\leq 2[/tex]
Answer:
In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by {\displaystyle \operatorname {dom} } or {\displaystyle \operatorname {dom} f}, where f is the function
The area of a square field is 3.24hectares . Find its perimeter in decimeters
The filed has a perimeter value of 720000 decimeters
How to determine the perimeter of the field?From the question, the area of the field is given as
Area = 3.24 hectares
Also, we have the shape of the field to be square
So, we start by calculating the side length of the field using
Length = √Area
Substitute the known values in the above equation
Length= √3.24 hectares
Length= √3.24 * 10000 square meters
Evaluate the square root
Length= 18000 meters
The perimeter is calculated as
P = 4 * Length
So, we have
P = 4 * 18000 meters
Evaluate
P = 72000 meters
Convert
P = 720000 decimeters
Hence, the perimeter is 720000 decimeters
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Please help me
What is the sign of 3.456 + \left(-3.456\right)3.456+(−3.456)
A. Positive
B. Negative
C. Neither positive nor negative—the sum is zero.
The sign of 3.456+(-3.456) is neither positive nor negative—the sum is zero.
We are asked to find the sign of 3.456+(-3.456)
This expression can be simply written as 3.456 - 3.456 because of the identity we have, x+(-y) = x-y
Now if same quantities are subtracted, we get zero only.
Also zero is neither positive nor negative.
Hence there is no sign for 3.456+(-3.456).
Also 3.456+(-3.456) = 0.
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The art club had an election to select a president. 42 out of the 60 members of the art club voted in the election. What percentage of the members voted?
The percentage of members that voted is 70%.
How to find the percentage of members that voted?The art club had an election to select a president. 42 out of the 60 members of the art club voted in the election.
Therefore, the percentage of the members that voted can be calculated as follows;
percentage that voted = number of people that voted / total number members × 100
Therefore,
number of people that voted = 42
total number members = 60
Hence,
percentage that voted = 42 / 60 ×100
percentage that voted = 4200 / 60
Therefore,
percentage that voted = 70%
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Nitin and Sharat were going to Delhi by different trains.
Their trains were scheduled to reach at 10:30 am and 11:15am respectively.
Nitin’s train reached late but Sharat’s train reached on time.
Nitin’s train reached 10 minutes AFTER Sharat’s train.
By how many minutes was Nitin’s train late?
Answer:
55 minutes
Step-by-step explanation:
sharat's train arrived on time (11.15) but Nitin's was after and 10 mins later it'd be 11.25
how long would it take to drive 1km at a speed of 1.71km/h (with working)
It would take 35 minutes to drive 1 km at a speed of 1.71 km/h.
How do distance and speed compare?Speed is the ratio of distance traveled in a given time. Speed is given by distance/time.
The time can be computed by dividing distance by speed.
This implies that time is the quotient of distance and speed.
The total distance drove = 1 km
The driving speed = 1.71 km/h
Time = Distance/Speed
= 1/1.71
= 0.58 hours
= 0.58 x 60 seconds
= 35 minutes 5 seconds
Thus, to travel 1 kilometer at the speed of 1/71 kilometers per hour would take 35 minutes.
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3 x blank x blank x blank = 36
Answer:
3x2x2x3
Step-by-step explanation:
3x2x2x3= 36
I hope that was helpful!
My pleasure to help!!
plsssss helpp me out asap
Answer: [tex]m = 7.3\pi[/tex]
I multiplied both sides by pi to isolate m.
arif's backyard is 22 by 32 meters. he wants to put a flower garden in the middle of the backyard, leaving a strip of grass of uniform width around the flower garden. to be happy, arif must have 288 m^2 of grass. under these conditions what will the length and width of the garden be?
The dimension of the flower garden, which located in the middle of the backyard surrounded by a strip of grass, is 26 m length and 16 m width.
The situation can be depicted on the attached picture.
We need to translate the word problem into algebraic expressions.
Let x be the width of the grass strip.
Let A be the area of the grass strip.
Then,
A = 2 . 22x + 2 . (32 - 2x)x
288 = 2 . 22x + 2 . (32 - 2x)x (divide by 2)
144 = 22x + x(32 - 2x) (divide by 2)
72 = 11x + x(16 - x)
72 = 27x - x²
x² - 27x + 72 = 0
This is a quadratic equation. One of the methods to solve a quadratic equation is by factorization.
Factorize the left side:
(x - 3) (x - 24) = 0
x = 3 or x = 24
The length of the flower garden = 32 - 2x
The width of the flower garden = 22 - 2x
Substitute x = 3:
The length of the flower garden = 32 - 2 . 3 = 32 - 6 = 26 m
The width of the flower garden = 22 - 2 . 3 = 16 m
Note that if we substitute x = 24, it will results in negative values while the dimension is always positive.
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What is 39,400,000 in scientific notation?
Answer:
3.94*10^7
Step-by-step explanation:
Answer:
3.94 * 10^7
Step-by-step explanation:
:]
5(1-1)+10=
5(2-1)+10=
5 (3-1) +10=
5(4-1)+10=
Step-by-step explanation:
First is
5(1-1)+10= 5×0+10= 0+10 = 10
2nd is
5(2-1)+10=5× 1+10= 5+10=15
3rd= 5(3-1)+10= 5×2+10=10+10=20
4th=5(4-1)+10=5×3+10=15+10=25
I hope it will be helpful for you.
32 is 80% of what number?
Answer:
40
Step-by-step explanation:
Given :
32=0.8x
( x is unknown number )
x=32/.8
x=40
Eden is creating a presentation about bee hummingbirds in PowerPoint Online, She would like to add an image to her side about how they collect nectar. What is the most relevant image she should add to her slide?
From following steps, she can add relevant pictures to her slide.
What is PowerPoint?It is a presentation-based program that employs graphics, movies, etc. to enhance the interactivity and appeal of a presentation. A saved PowerPoint presentation has the ".ppt" file extension. PPT is another name for a PowerPoint presentation that includes slides and other elements. Create presentations from scratch or using a template with PowerPoint on your PC, Mac, or mobile device. Include text, pictures, artwork, and videos. Using PowerPoint Designer, pick a polished layout. Cinematic motion, transitions, and animation should be added.
Given Data
Eden is creating a presentation about bee hummingbirds in PowerPoint Online, She would like to add an image to her side about how they collect nectar.
From following steps, she can add relevant pictures to her slide.
Open the slide to which you wish to add a photograph.
Point to Picture in the Insert menu, and then click Photo Browser.
Navigate to the image you want to insert in the dialogue box that appears, click it to pick it.
Then drag it to the slide.
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