Answer:
Options (B), (D), and (E) are correct.
Step-by-step explanation:
The given best fit curve for the collected data is
[tex]y=73.6 - 67.8x\cdots(i)[/tex]
Where x is the number of hours spent driving and y is the distance of distributer, in miles, from the retailer.
As the driver starts recording the time when he starts from the retailer, so at the starting time, x=0, the driver is at the retailer.
So, putting x=0 in the given equation (i) to get the distance between the distributor and retailer, we have
[tex]y =73.6 - 67.8\times 0[/tex]
[tex]\Rightarrow y= 73.6[/tex] miles.
So, the distributor is 73.6 miles away from the retailer.
From equation (i), as x (time) increases the value of y (distance) decreases.
So, The distance from the retailer decreases with time.
Now, obtaining the rate of change the distance,y, from quation (i), with respect to time,x, to get the speed of the truck, we have
[tex]\frac {dy}{dx}=-67.8[/tex] mile/hour
Negative sign shows that the distance is decreasing, taking the magnitude of the rate of change of distance with respect to time to get the speed,
speed [tex]= | dy/dx |= | -67.8 | = 67.8[/tex] miles/hour
So, the speed of the truck is 67.8 miles per hour.
Hence, options (B), (D), and (E) are correct.
Using linear function concepts, it is found that the correct options are:
B. The distance from the retailer decreases with time.
D. The distributor is 73.6 miles away from the retailer.
E. The truck is traveling at a rate of 67,8 miles per hour
A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change. b is the y-intercept, which is the initial value.In this problem, the distance, in miles, after x hours driving is modeled by:
[tex]y = 73.6 - 67.8x[/tex]
The slope is [tex]m = -67.8[/tex], which means that the distance decreases with time, and the truck is traveling at a rate of 67.8 miles per hour, hence options B and E are correct.The y-intercept is of [tex]b = 73.6[/tex], which means that the initial distance is of 73.6 miles, hence option D is correct.A similar problem is given at https://brainly.com/question/24808124
Find the volume given cylinder. 8in,8in. Use 3.14 for pi and round to the nearest tenth.
A.1607.7in*3
B.2845.7in*3
C.6430.7in*3
D.401.9in*3
2.Find the volume of a rectangular prism with the following dimensions: L=5mm B=7mm H=3mm
142mm*3
105mm*3
126mm*3
130mm*3
3.Find the volume of the given pyramid. 7yd,7yd,9yd
147yd*3
175yd
Answer:
1. [tex]V =1607.7\ in^3[/tex]
2. [tex]V = 105mm^3[/tex]
3. [tex]V = 147yd^3[/tex]
Step-by-step explanation:
Solving (1):
Given
[tex]Radius, r =8\ in[/tex]
[tex]Height, h =8\ in[/tex]
Required
Determine the volume
Volume (V) of a cylinder is calculated as thus:
[tex]V =\pi r^2h[/tex]
[tex]V =3.14 * 8^2 * 8[/tex]
[tex]V =1607.7\ in^3[/tex]
Hence, the volume of the cylinder is [tex]1607.7\ in^3[/tex]
Solving (2):
Given
[tex]Length, l = 5mm[/tex]
[tex]Width, B = 7mm[/tex]
[tex]Height, H = 3mm[/tex]
Required
Determine the volume (V) of the rectangular prism
Volume (V) of a rectangular prism is calculated as thus:
[tex]V = LBH[/tex]
[tex]V = 5mm * 7mm * 3mm[/tex]
[tex]V = 105mm^3[/tex]
Hence, the volume of the prism is [tex]105mm^3[/tex]
Solving (3):
Given
[tex]Length, l = 7yd[/tex]
[tex]Width, B = 7yd[/tex]
[tex]Height, H = 9yd[/tex]
Required
Determine the volume (V) of the pyramid
Volume (V) of a pyramid is calculated as thus:
[tex]V = \frac{1}{3} *LBH[/tex]
[tex]V = \frac{1}{3} * 7yd * 7yd * 9yd[/tex]
[tex]V = \frac{1}{3} * 441yd^3[/tex]
[tex]V = 147yd^3[/tex]
Hence, the volume of the pyramid is [tex]147yd^3[/tex]
Solve for m
Find the measure of angle MHL
Please help me!!!!!!
∠MHL and ∠MHJ are supplementary angles that is some of the measure of both angle is 180°, because these angle are on a line.
∠MHL + ∠MHJ = 180°
substituting values.
⟹ (2m + 10)° + (5m + 100)° = 180°
⟹ 5m + 2m + 10 + 100 = 180°
⟹ 7m + 110 = 180°
⟹ 7m = 180° - 110°
⟹ 7m = 70°
⟹ m = 70/7
⟹ m = 10
m = 10°
measure of ∠MHL is
⟹ (2m + 10 )°
⟹ 2(10°) + 10°
⟹ 20° + 10°
⟹ 30°
∠MHL = 30°
[tex]\red{\large\boxed{Mark\: Brainleist\: please ! }}[/tex]
If a town with a population of 1,500 doubles in size every 21 years, what will the population be 42 years from now?
Answer:
In 42 years from now the population would be 6,000
Step-by-step explanation:
Answer:
6,000
Step-by-step explanation:
well if the population doubles every 21 years and it already has 1,500 and 42 years / 2 = 21 the population is going to double twice. 1,500*2=3,000
3,000*2=6,000
HURRY!!!! Thank you!
Answer:
C
Step-by-step explanation:
Hope this helps
For a remodeling job, an architect suggested increasing the sides of a square patio by 5 feet per side. This made the new area of the patio 144 square feet. What was the area of the original patio?
Answer:
49 sq ft.
Step-by-step explanation:
The area of a square is calculated by multiplying the length by the width which, since it is a square, are both the same value. Therefore, since we are given the area of the new patio we can simply square root that area to find the value of the length/width
[tex]\sqrt{144}[/tex] = 12 feet
Since the new sides of the patio are 5ft more than the original we need to subtract 5 feet.
12 - 5 = 7 feet
Now we can multiply the original width/length together to calculate the original area of the patio.
7 * 7 = 49 sq ft.
PLEASE PLEASE PLEASE HELP I WILL GIVE BRAINALIST AND EXTRA POINTS FIRST PERSON
Answer:
$66.14
Step-by-step explanation:
A student answers 9 questions
correctly out of 12 total
questions on a test. What
percent is this?
IT WOULD BE HELPFUL IF YOU GUYS CAN HELP ME WITH THIS!
The temperature at sunrise is 28°F. Each hour, the temperature rises 7°F.
Write an equation that models the temperature y, in degrees Fahrenheit, after x hours.
Answer:
y=6x+24
Step-by-step explanation:
your temperature at the y-intercept is 24 degrees, and your slope being 6/1, so that would be your line equation. You can just plug in to solve after that
Remember that for your graph your dependent variable is always on the x-axis, and your independent variable is always on the y-axis. So because the temperature depends on time, the x-axis is the time of day in hours, and your y-axis is the temperature in Fahrenheit.
Answer:
28=(7)x+b
Step-by-step explanation:
y=mx+b right?
starts at 28, so plug that into y
28=mx+b
the rate of change is 7, so you plug that into m
28=(7)x+b
(I'm sorry if this is wrong, this is just my understanding of this)
If y= -7 when x= -28, find y when x=20
urgent please!!!!!!!!!
Answer:
Step-by-step explanation:
1) Divide 50 by 7
2) Take that number and multiply it by 6.5 km
This works because the result of dividing 50/7 multiplied by 7 will give you 50, and if you multiple the result by 6.5 you will get your answer!
A student plays a total of 20
rounds of Rock Paper
Scissors. He wins 75% of
them. How many rounds did
he win?
Answer: The student wins 15 rounds.
Step-by-step explanation:
The number of rounds the student won is required.
The number of rounds the student won was 15.
The total number of rounds played is [tex]20[/tex].
The percentage the student wins is [tex]75\%[/tex]
The number of times he won was
[tex]20\times 75\%\\ =20\times \dfrac{75}{100}\\ =20\times 0.75\\ =15[/tex]
The number of rounds the student won was 15.
Learn more:
https://brainly.com/question/23318129
https://brainly.com/question/14532195
Find the output of the function y = x - 16 if the input is -28.
Help please
Answer:
-44
Step-by-step explanation:
If the input is -28, that means x = -28, so we plug -28 in for x and solve for y, which is the output:
y = x - 16
y = -28 - 16 = -44
The answer is thus -44.
When ordering tickets online, a collage theater charges a $5 handling fee no matter how large the order. Tickets to a comedy concert cost $58 each. If you had the line showing the total cost, y, of buying tickets, x, what would the slope of your line be? Explain your thinking.
Answer:
58
Step-by-step explanation:
Given that :
Handling fee = $5
Cost of ticket to comedy concert = $58 each
The total cost y of buying ticket x ;
Using the slope - Intercept relation
y = mx + c
m = slope ; c = intercept
The constant handling fee = $5 = c = intercept
Cost of x tickets = (cost per ticket * number of tickets) = 58 * x = 58x
Hence,
y = 58x + 5
Comparing with the intercept slope equation :
Slope (m) =58
I need help with this!
Answer:
corresponding
Step-by-step explanation:
Answer:
they're corresponding
Step-by-step explanation:
Waiter or waitress , earning $2.35 per hour plus $60 tips each week, working 24 hours per week.
Answer:
$116.40
Step-by-step explanation:
Help please I’ll highly appreciate ittttt
Since it is translated 5 units down that means the y-intercept is -5, so the equation above is correct.
What is the x-intercept of y=1/3x-5
Answer:
x = 15
Step-by-step explanation:
To find the x-intercept(s), substitute in 0 for y and solve for x.
0 = 1/3 x − 5
Solve the equation.
x = 15
This is so it makes more sense for u
Hope this Helps (✿◠‿◠)
I said certified freak
Answer:
7 days a week
Step-by-step explanation:
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Answer:
Do you need a tree topper?
Step-by-step explanation:
just a quick question
A math teacher graded 45 problems in
3
5
of an hour. At that rate, how many problems can she grade in 1 hour?
Which statement is true? Ill mark brainlest
−6.5>6.55
−6.5≥6.55
−6.5<6.55
−6.5=6.55
Answer:
6.5 < 6.55
Step-by-step explanation:
since
6.5 can be written as 65/10
6.55 can be written as 655/100
when we take LCM of 100 and 10 we get 100.
so we will multiply 65/10 with 10 on both numerator and denominator.
we get 650/100 and 655/100 .
since denominators are same we can say that 650<655.
Hence,
6.5 < 6.55
Select all that describe the scatterplot.
(WILL GIVE BRAINLIEST)
Answer:
A C E H
Step-by-step explanation:
y-8=-2(r+3) in slope intercept form
I have been stuck on this and don’t know what the answer is
Answer:
x= -1 or x= -11
Step-by-step explanation:
Answer:
i think its D. Im not fully sure
Step-by-step explanation:
Hep me plz ppl plzzz
Answer:
y = 0.85x + 3.5
Step-by-step explanation:
Eighth grade
> G.2 Compare numbers written in scientific notation RHT
Which sign makes the statement true?
6.3600 x 10^10
? 5.360 x 10^11
>
<
=
Answer:
>.6.3600×10power 10 is the answer.it is bigger than the other numbers
Answer:
6.3600 x 10^10 is GREATER THAN (>) 5.360 x 10^11
Step-by-step explanation:
6.3600 x 10^10 = 63,600,000,000
5.360 x 10^11 = 536,000,000,000
Therefore it is simply seen that 5.360 x 10^11 is larger than 5.360 x 10^11.
Since 536,000,000,000 is larger than 63,600,000,000.
What is the length of a right rectangular prism that has a volume of 1,071 cubic centimeters, a width of 17 centimeters, and a height of 3 centimeters?
Answer:
hi mom love you
Step-by-step explanation:
what is the slope of the line ?
Answer:
-1,-2
Step-by-step explanation:
i just need number 2 pls
Answer:
ik the answer
Step-by-step explanation:
Find the value of x.
HELP!!!! I WILL GIVE BRAINLIEST ANSWER!!!
POINTS!!!
Answer:
43
Step-by-step explanation:
its an isoceles triangle so both base angles are congruent
What is 8x^6 divided by 4x^3
Answer:
2x^3
Step-by-step explanation:
