The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours. D(t) = StartLayout enlarged left-brace 1st Row 1st column 300 t 125 , 2nd column 0 less-than-or-equal-to t less-than 2. 5 2nd Row 1st column 880, 2nd column 2. 5 less-than-or-equal-to t less-than-or-equal-to 3. 5 3rd Row 1st column 75 t 612. 5, 2nd column 3. 5 less-than t less-than-or-equal-to 6 EndLayout Which times and distances are represented by the function? Select three options. The starting distance, at 0 hours, is 300 miles. At 2 hours, the traveler is 725 miles from home. At 2. 5 hours, the traveler is 875 miles from home. At 3 hours, the distance is constant, at 880 miles. The total distance from home after 6 hours is 1,062. 5 miles.
The distance in given time t is determined by substituting the value of time and solving the equation.
At 2 hours, the traveler is 725 miles from home.
At 3 hours, the distance is constant, at 880 miles.
The total distance from home after 6 hours is 1,062.5 miles.
Given that,
The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.
D(t) = 300t + 125
We have to determine,
Which times and distances are represented by the function?
According to the question,
The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.
D(t) = 300t + 1251. The starting distance at 0 hours is ;
At [tex]0 \leq t < 2.5[/tex]
Then,
[tex]\rm D(t) = 300t + 125 ;\\\\\ D(0) = 300(0) + 125 = 125 \ miles[/tex]
The starting distance, at 0 hours, is 125 miles.
2. The distance at 2 hours is,
[tex]\rm D(t) = 300t + 125 ;\\\\\ D(2) = 300(2) + 125\\\\ D(2) =600+125\\\\ D(2) = 725 \ miles[/tex]
At 2 hours, the traveler is 725 miles from home.
3. The distance at t = 2.5 hours is,
At 2.5 ≤ t ≤ 3.5
D(2.5) = 880 miles (Fixed)
At 2.5 hours, the traveler is 880 miles from home.
4. The distance at t = 3 hours is,
2.5 ≤ t ≤ 2.5
D(3) = 880 miles
At 3 hours, the distance is constant, at 880 miles.
5. The distance at t = 6 hours is,
3.5 < t ≤ 6
[tex]\rm D(t) = 300t + 125 ;\\\\\ D (6)= 75(6) + 612.5\\\\ D(6) = 450 + 612.5\\\\D(6) = 1062.5 miles[/tex]
The total distance from home after 6 hours is 1,062.5 miles.
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max found a car he wants to buy that costs $16,000. He can afford to pay $250 a month for the car. His bank offers him a car loan of 7.3%. The length of his loan should be about 5 years, so he can afford the payments. true or false
Max won't be able to afford the payments.
Since Max found a car he wants to buy that costs $16,000, and he can afford to pay $ 250 a month for the car, and his bank offers him a car loan of 7.3%, and the length of his loan should be about 5 years, to determine if he can afford the payments, the following calculation must be performed:
(16000 x 1.073 ^ 5) / (5 x 12) = X 22,757.187 / 60 = X 379.28 = X
Therefore, each monthly payment will be $ 379.28, so Max won't be able to afford the payments.
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Using the distance formula, find the distance between -52 and 9.
Which equation shows a proportional relationship between x and y?
A. y = 3x + 1
B.y= 4x
C.y = -3x - 2
D.y=9
Answer:
A
Step-by-step explanation:
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer: A. they will have too much butter
Step-by-step explanation: to much
Please Help Question in picture
Also could you drop your socials so I can ask a few more questions through dm's im running low on brainly points
Answer:
the coordinates of B are; (7,3)
I need help solving this
Answer:
what are you trying to solve
Step-by-step explanation:
I'm a coocoo butter cup girl!! hsvshjsvs
Eight times a certain number plus ten is equal to twelve times the same number minus seven
What is the degree of 3x^4-4x^2?
Answer:
the degree is 4
Step-by-step explanation:
the largest exponent of x
A gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket, what is the gear ratio for the bike?
1
Answer:
The gear ratio is 36 to 12 however it can be simplified to a 6-2 gear ratio.
Answer:
answer was 3
Step-by-step explanation:
just did the test
A manufacturer is cutting plastic sheets to make rectangles that are 11.125 in. By 7.625 in. Each rectangles length and width must be within 0.005 in. Of the desire size . Write and solve inequalities to find the acceptable range for the length / and the width w
The inequalities to find the acceptable range for the length and the width w are - 0.005 ≤ l - 11.125 ≤ 0.005 and - 0.005 ≤ w - 7.625 ≤ 0.005 respectively.
length = 11.125 in
width = 7.625 in
Range of value must be less than orequal to 0.005 in
let
l = Length
w = width
Length inequality:
l - 11.125 ≤ 0.005
write as a compound inequality
- 0.005 ≤ l - 11.125 ≤ 0.005
Width inequality:
w - 7.625 ≤ 0.005
write as a compound inequality
- 0.005 ≤ w - 7.625 ≤ 0.005
Therefore, the inequalities to find the acceptable range for the length and the width w are - 0.005 ≤ l - 11.125 ≤ 0.005 and - 0.005 ≤ w - 7.625 ≤ 0.005 respectively.
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school lunches cost 35.50 per week. About how much would 15.5 week of lunches cost?
Since you go to school for 5 days a week, the answer is going to be 550.25 for 15.5 weeks.
Hope that helped?
Answer:
15.5 weeks of school lunch would cost $550.25
Step-by-step explanation:
The unit rate is already given here, so all you need to do here is multiply the cost per week by the number of weeks. You can even think of it as canceling out the weeks:
[tex]\frac{cost}{week}\times week=cost[/tex]
[tex]35.50\times15.5=550.25[/tex]
15.5 weeks of school lunch would cost $550.25
You could also write this as a linear equation with a slope of 35.5 and a y-intercept of 0:
[tex]y=35.50x[/tex]
Mike makes and sells skateboards. If he has a cost of $6,200 per year plus a cost of $15 per skateboard, how many skateboards must he sell in order to make a profit if each skateboard sells for $35?
Answer: 310
Step-by-step explanation:
35-15= 20
6200 / 20 = 310
Answer:310
Step-by-step explanation:divide 6200 by 20 and it gives you 310
Can someone pls help I’m trying to solve for x
Answer:
x = 2.3
Step-by-step explanation:
x = 5*(13-12.54) = 2.3
Answer:
127.7
Step-by-step explanation:
you do 12.54 + 13 = 25.54
then 25.54 x 5 = 127.7
A pack of cinnamon-scented pencils sells for $6.00. What is the sales tax rate if the total cost of the pencils is $6.42?
Answer:
7%
Step-by-step explanation:
The additional tax is $0.42, we just have to find how much percent the tax ($0.42) is of the original cost ($6.00).
To do this, we can use the following formula:
[tex]\frac{x}{y} = \frac{p}{100}[/tex]
Where x is the part (in this case, the tax ($0.42)), y is the whole (in this case, the original cost ($6.00)), and p being the percent (the tax rate in this case). We can replace the values in:
[tex]\frac{0.42}{6} = \frac{p}{y}[/tex]
We can cross multiply and simplify to find the tax rate:
[tex]0.42y=600\\ y=\frac{600}{0.42} \\ y=0.07[/tex]
We're not done yet! We still need to turn it to percent. But we can do this by just multiplying our result by 100:
[tex]0.07 * 100=7[/tex]
Place the percent sign and we are done.
Hope this helps.
whats the slope of the line that passes through (3,-3) with the slope of 3?
Answer:
y=3x-12
Step-by-step explanation:
Assuming that you're asking what's the equation of the line that passes through (3, -3) with the slope of 3.
y-y1=m(x-x1)
y-(-3)=3(x-3)
y+3=3(x-3)
y=3x-9-3
y=3x-12
Write an equation in slope-intercept form of the line that passed through (-3, 4) and (1. 4)
Answer:
y= 0x+4
Step-by-step explanation:
This is a horizontal line, since both coordinate pairs end in 4, so the slope is 0. The y-intercept is 4 because each point is 4.
some one plz help!!! due in 10 min
Step-by-step explanation:
since f'(x) = 2f(x) and f(3) has no term of x (so, there must be a constant that eliminates x for x = 3), we get
f(x) = x²/9 × c
c = m×e^n
f(1) = 1/9 × m×e^n = 5
=> m×e^n = 45
f(3) = 9/9 × m×e^n = 45
m = 45
n = 0
A circle has diameter 18 inches, and a chord is 14 inches long. What is the distance in inches from the chord to the center of the circle, to the nearest hundredth?
Answer:
Let O be the center of a circle whose radius is r cm , in which AB= 14 cm long
cord is at a distanceof 24 cm from O. Draw a perpendicular OD on AB , thus ,
OD= 24 cm.
In right angled triangle. ODB
OB^2 = OD^2+ DB^2
r^2 =(24)^2+(AB/2)^2 = 576+(14/2)^2
r^2 = 576+ 49=625
r = √625. =25 cm. Answer.
a lakeis 200ft wide. two boats start to move towards one another from opposite shores.In one minute ,the first boat goes 40 ft and the second one goes 30 ft they are very slow! what would be the distance between the boats after 1 minute
The distance between the boats after 1 minute would be 130 ft.
Given that a lake is 200ft wide, and two boats start to move towards one another from opposite shores, and in one minute, the first boat goes 40 ft and the second one goes 30 ft, to determine what would be the distance between the boats after 1 minute the following calculation must be performed:
Total width - boat distance 1 - boat distance 2 = Distance after 1 minute 200 - 40 - 30 = X 130 = X
Therefore, the distance between the boats after 1 minute would be 130 ft.
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PLEASE HELP ME
7. (37:10) Kevin finds Buzz's life savings. If Buzz
had $47 and had been saving for 17 years, how
much could we expect him to save in 30 years?
Based on the information given, the amount that he'll be expected to save in 30 years will be $83.
From the question given, since Buzz had $47 and had been saving for 17 years, the amount saved per year will be:
= $47/17
= $2.7647
Therefore, the amount that'll be saved in 30 years will be:
= 30 × $2.7647
= $82.941
= $83
The amount saved will be $83.
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Which of the following is the rational exponent expression of 4 square root of f?
OF
Of4
O4f
4
what is 72=2x+16x
please please helppppp meeee
Answer:
x = 4
Step-by-step explanation:
72 = 2x + 16x , that is
72 = 18x ( divide both sides by 18 )
4 = x
Answer:
x=4
Step-by-step explanation:
72=18x
72/18=4
x=4
find gain percent when cost price is rs 804 and selling price is rs 1004
Selling Price = 1004r
Cost Price = 804r
1004-804=200r
Gain% = 200/804 · 100 = 20000/804 = 23.80% or 29%
ILL MARK BRAINLIEST PLEASE HELP! Solve and graph its solution:
In 2005, the average cost of a 32" flat-screen TV was $1,700. In 2015, the average cost of a 32" flat-screen TV was $550. Assuming those were the least and greatest costs during that period, write a compound inequality that describes the cost c of a 32" flat-screen TV between 2005 and 2015.
Answer:x < 1,700. ×> 550
Step-by-step explanation:
Answer:AHHHH
Step-by-step explanation:
I WILL MARK BRAINLIST PLS!!! + explain
Sarah is going to the food truck with her friends. Hot dogs cost $2 and drinks cost $3. She has a total of $24 that she can spend. The equation 2x+3y=24 represents this scenario.
What does y represent in this scenario?
Question 5 options:
the cost of a hotdog
number of drinks purchased
number of hot dogs purchased
the cost of a drink
Answer:
the number of drinks purchased
Step-by-step explanation:
Answer:
2, the number of drinks purchased.
Step-by-step explanation:
one drink costs $3, and since Sarah is going to the food truck with her friends, she needs to buy more than one drink. So, it would be 3 · y, y being the number of drinks she needs to buy.
3/4 of analisa's friends came to her birthday party. express this fraction as a percant and a decimal.
Answer:
0.75 And 75%
Step-by-step explanation:
If 3/4 came then 25, 50, 75, 100 what is the 3rd number of of those 4
HELPPPPPPPPPPP Asapp
Answer:
B. Kilograms
Step-by-step explanation:
Help ME!
Question 1: Evaluate the expression:
2+5⋅8
Question 8: 10÷(3−1⋅2)
Option answers for Question 8: 4, 10, 10/4, and 2.5
Answer:
Q1: 42
Q8: 10
Step-by-step explanation:
PEMDAS
Can somebody pls help me understand this question? (Give an explanation)
Question:
Below is a graph of 2 lines. Match the line with its slope.
Answer:
l: 1
k: 2
Step-by-step explanation:
The slope of a line is "the amount it goes up divided by the amount it goes right".
So if you pick a point on the line, and then step one grid position to the right, how much does it go up (or down, then you have a negative slope)?
In line l, it goes up one grid position for every step to the right, hence the slope is 1.
In line k, it goes up two positions for every step to the right, hence the slope there is 2.
Hope this explains it.