The rate of change of this function in miles per week is 3 miles per week.
What is a expression? What is a mathematical equation?Linear function is a function whose degree is one. It is of the form -f(x) = ax + bA mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a table as shown in the question.
The rate of change in miles per week is -
(19 - 13)/(3 - 1) = (22 - 19)/(4 - 3)
6/2 = 3/1
3 = 3
3
Therefore, the rate of change of this function in miles per week is 3 miles per week.
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Solve for t:
t + 7 = 21
A: t= 28
B: t= 14
C: t= -28
D: t= -14
t + 7 = 21
---Subtract 7 from both sides
t + 7 - 7 = 21 - 7
t = 14
Hope this helps!! :)
Answer:
B) t = 14
Step-by-step explanation:
Find the x- and y-intercepts for : 4y-6x = 24
Answer:
y-intercept = (0, 6)
x-intercept = (-4, 0)
Step-by-step explanation:
The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b). It is also the value of y when x = 0.
To find the y-intercept, set x = 0:
4y - 6x = 24
4y - 6(0) = 24
4y = 24
4y/4 = 24/4
y = 6
Therefore, the y-intercept is (0, 6).
The x-intercept is the point the graph where it crosses the x-axis, and has coordinates (a, 0). It is also the value of x when y = 0.
To find the x-intercept, set y = 0:
4(0) - 6x = 24
0 - 6x = 24
-6x/-6 = 24/-6
x = -4
Therefore, the x-intercept is (-4, 0).
help need explantion and answersi give you 100
2x( 3x + 5 ) - 3 ( 2x^{2} - 2x + 3)
Answer:
16x - 9
Step-by-step explanation:
2x(3x + 5) - 3 (2x² - 2x + 3) ← distribute parenthesis
= 6x² + 10x - 6x² + 6x - 9 ← collect like terms
= 16x - 9
Answer:
16X-9
Step-by-step explanation:
(2x)(3x)+(2x)(5)+(-3)(2x²)+(-3)(-2x)+(-3)(3)
6x²+10x+6x²+6x +-9
combine like terms
6x² +10x +-6x² +6x+-9
(6x² +6x² )+(10x+6x)+(-9)
16x+-9
16x-9
6 exponent 2-4 for b=5
Answer
6 exponent 2 is 36
6 exponent 4 is 1296
Both added is 1332
Step-by-step explanation:
1. 6x6=36
2. 6X6X6X6= 1296
3 1296+36=1332
For FHG find the measure of the smallest angle ∠HFG, if m∠GHF = 92° and m∠HGF =72°
will give brailist to correct answer and if you show the work
The sum of the measure of angle of a triangle = 180° .
Given two angles = 92° and 72°
_________________________92° + 72° = 164°
180° - 164° = 16° (Ans)
Answer:
the answer is 16!
To gather data on a 1200-acre pine forest in Louisiana, the U.S. Forest Service laid a grid of 1410 equally spaced circular plots over a map of the forest. A ground survey visited a sample of 10% of the plots. 13 a. Explain how you would use a random number generator to choose an SRS of 141 plots. Your description should be clear enough for a classmate to carry out your plan. b. Use your method from part (a) to choose the first 3 plots.
To make a random selection using a random number generator, we could make use of a computer programming to execute the task by following the steps below ;
Total number of plots = 141010% of total = 0.1 × 1410 = 141 plotsA.) Using python 3 to generate a random sample of 141 plots :
import random
#import the random module
random_sample = random.sample(range(1410), 141)
#using the sample method, randomly select a sample of 141 plots from the total number of plots, 1410
print(random_sample)
#display the randiy selected plots which is 10% of the total
B.) Choosing the first three plots using the method described in (A)
first_3 = random_sample[:3]
#from the 141 random samples, use list slicing to select the first three plots from the sample
print('\n The first 3 plots are : ' , first_3)
#display the first three sample plots selected.
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What is the value of r?
Answer:
its 40
Step-by-step explanation:
180-100=80
80/2= 40
Write the slope-intercept form of the equation of the line perpendicular to the
graph of 2x-y=6 that passes through the point (-4,1).
Answer:
12x=4y........................................
When The sum of 1. 3240 and 1. 4872 is subtracted from 4. 0121 it will give you the difference of
A. 1. 2109
B. 2. 0905
C. 1. 2009
D. 2. 7009
Answer:
C. 1.2009
Step-by-step explanation:
1.3240 + 1.4872 = 2.8112
4.0121 - 2.8112 = 1.2009 - C
what is one third of 16
Answer:
It is 16over 3or 5.333333333333
Step-by-step explanation:
1/3*16=16/3
16/3=5.33333333333333
SOMEONE HELP ITS DUE TONIGHT
Answer:
n=27 degrees
m=36 degrees
Step-by-step explanation:
So the inside triangle has two equal sides. To find these angles you would do the degrees of a triangle (180) minus the known value and then divided by two.
so it is: 180-126/2 which gives you 27 degrees.
this means the n value is 27.
to find m, you have to take away 90 degrees and the n value from 180.
so it is: 180-90-27 which gives you 63 degrees.
now you must take the smaller angle from 63 degrees to find m.
so it is: 63-27 which gives you 36
therefore...
n=27 degrees
m=36 degrees
Place the following steps in order to describe how to solve the following equation: 2(2x+3)-2=5
Answer:
0.25
Step-by-step explanation:
First, you distribute the equation.
2(2x+3)-2=5
4x+6-2=5
Then, you combine like terms.
4x+6-2=5
4x+4=5
Next, you subtract 4 from each side.
4x+4=5
4x+4-4=4x
5-4=1
4x=1
Finally, you divide each side by 4.
4x/4
1/4
(4x/4 you'd end up with x)
Answer: x=1/4
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 5. If there were 11,724 total votes, how many no
votes were there?
A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. Labor-Hours per 8 and 6 Ski Maximum Labor-Hours Department is 336 and 48 Trick Ski Slalom Ski Available per Day Fabricating Finishing 1 1 If the profit on a trick ski is $40 and the profit on a slalom ski is $60, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? The maximum profit is $ nothing. The maximum occurs when nothing trick skis and nothing slalom skis are produced.
Answer:A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. (A) If the profit on a trick ski is $40$ and the profit on a slalom ski is $30,$ how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? (B) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski decreases to $25$ and all other data remains the same. (C) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski increases to $45$ and all other data remain the same.
Step-by-step explanation:
The optimal production plan for maximizing profit is to manufacture 48 slalom skis and 0 trick skis each day, resulting in a maximum profit of $2880.
Given data:
To solve this problem, we can use linear programming techniques to find the optimal number of trick skis and slalom skis that should be manufactured each day to maximize the profit.
x = number of trick skis
y = number of slalom skis
We need to maximize the profit function: P = 40x + 60y
Subject to the following constraints:
1x + 1y ≤ 336 (Fabricating department constraint)
1x + 1y ≤ 48 (Finishing department constraint)
x, y ≥ 0 (Non-negativity constraint)
We can graphically represent these constraints on a coordinate plane and find the feasible region, which is the region where all constraints are satisfied. Then, we can evaluate the profit function at the corner points of the feasible region to find the maximum profit.
After solving this system of linear inequalities, we find that the feasible region is a triangle with vertices at (0, 48), (0, 48), and (48, 48).
Evaluating the profit function at these vertices:
P(0, 48) = 40(0) + 60(48)
= $2880
P(0, 0) = 40(0) + 60(0)
= $0
P(48, 0) = 40(48) + 60(0)
= $1920
The maximum profit is $2880, which occurs when they produce 48 slalom skis and 0 trick skis.
Hence, the optimal production plan for maximizing profit is to manufacture 48 slalom skis and 0 trick skis each day, resulting in a maximum profit of $2880.
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The PTA makes a $5.00 profit on each school sweatshirt they sell. If they made a
profit of $2,170.00, how many sweatshirts did they sell?
Answer:
434 sweatshirts were sold
Step-by-step explanation:
$2,170/$5 = 434
The sum of a number and seven more than the number is 43. What is the number?
Answer:
18
Step-by-step explanation:
we can use the variable x to represent the number since it's currently unknownseven more than the number can be represented as x + 7we can find the sum of both by adding themx + x + 7 = 43
2x + 7 = 43
-7 -7
2x = 36
we divide by 2 on both sides to isolate xx = 18
Please solve the math problem... I will mark you brainliest
Please help, thank you!
Mega Mart received 1,447 fish. The store's manager put 76 fish into each of the store's aquariums. Then he purchased the remaining 3fish for his own aquarium. How many aquariums does Mega Mart have?
Answer:
19
Step-by-step explanation:
1447-3=1444, 1444/76=19
Hope that helps!
что 900 умножить на 1000000
Answer:
900,000,000
Step-by-step explanation:
900×1,000,000
=900,000,000
Надеюсь, это помогло тебе, хорошего дня)
ASAP please!!!
Triangle ABC has angle measures as shown show work.complete sentence
a. What is the value of x?
b. What is the measure of angle CAB?
d. When these 3 interior angles of a triangle are added together, what does it equal?
Step-by-step explanation:
The interior angles of a triangle add up to 180 degrees.
a.
90 + 2x + (3x - 20) = 180
90 + 2x + 3x - 20 = 180
70 + 5x = 180
5x = 110
x = 22
b.
2(22) = 44
c.
The interior angles of a triangle add up to 180 degrees.
please give me a brainliest answer
I will give Brainliest to the first person
Answer:
x^3
Step-by-step explanation:
Which pair of numbers has a sum of 0?
1) 2 and 12
2) 2 and –12
3) 2 and –0.2
4) 2 and –2
Graph the polygon and its image after a reflection in the line x=4.
Answer: To do so, reflect it on the Y axis and then move it 4 times.
Step-by-step explanation:
43 tens x 2 tens????????????????????????????????????
Answer:
8,600
Step-by-step explanation:
43 tens is basically 43 x 10
2 tens is 2 x 10
multiply that to get 8600
Hope it helps! :D
can someone helo me with this 4^x x 8^x ^+ ^1 = 2⁴
Answer:
c
Step-by-step explanation:
Donna bought 4 bags of dog treats for $10.72. What is the cost per bag of dog treats?
Answer:
2.68
Step-by-step explanation:
Answer: The bags cost about $2.68 each
Step-by-step explanation: All I did was simple Division: ($10.72 ÷ 4 = $2.68) If you need to double check to see if this is accurate, you can do ($2.68 x 4= 10.72) Therefore, this equation has an accurate answer.~
Hope this helps, have a great day/night!
~IFoundJiminsLostJams~
nye nye nye nye nye nye nye
Answer:
what question is this lol
Step-by-step explanation:
Please helpppppppppppppppp
Answer:
29520728184915396206153835295