Complete question is;
A truck driver travels from a distributor to a retailer every week. The driver records the distance that he is from the retailer at different times during his trip. After several weeks of collecting data, the driver creates a scatter plot of the data. The best–fit line is y = 73.6 – 67.8x, where x is the number of hours spent driving and y is the distance, in miles, from the retailer.
Which of the following statements are true? Select all that apply.
The distance from the retailer increases with time.
The distance from the retailer decreases with time.
The distributor is 67.8 miles away from the retailer.
The distributor is 73.6 miles away from the retailer.
The truck is traveling at a rate of 67.8 miles per hour.
Answer:
B: The distance from the retailer decreases with time.
Step-by-step explanation:
Formula for best fit line is;
y = mx + b
Where;
m is slope
b is y-intercept
We are told that the best–fit line is y = 73.6 – 67.8x
This can be written as;
y = -67.8x + 73.6
This means the slope is negative and when x = 0, y = 73.6 which is the y-intercept.
We are told that x is the number of hours spent driving and y is the distance, in miles, from the retailer.
Since we have a negative slope, it means that y is decreasing with increasing values of x.
Thus, we can say that the distance from the retailer decreases with time.
Solve 15x +2=17
Please help me. It’s superrrr important
Answer:
15x +2=17 so the first thing you want to do is minus 2 then divide by 15 which gives you x=1
Translate this sentence into an equation 20 less than Jenny's score is 66?
Answer:
x-20=66
Step-by-step explanation:
Jenny's score can be written as a variable x. 20 less than x is x-20. The answer is 66, so that will be on the other side of the equation. The equation is written as: x-20=66.
Hope this helps you!! Have a great day ^^
Find the slope of the line.
Answer:
4
Step-by-step explanation:
HELPPPPPPO‼️‼️‼️
Based on an analysis of the map, what conclusion can be drawn about the slave population in the colonies?
Evaluate 2x
2 + y if the values of x = 3, and y = 10
Answer:
6,12
Step-by-step explanation:
i have no idea what to do
do u want me to evaluate 1 problem or 2
(10pts) A train left a station at 8:00 am
going at 45 mph. A second train left the station
at 10:00 am going in the same direction at 55
mph. At what time will the second train catch
up with the first train?
Answer:
12:00 i think
Step-by-step explanation:
hope this helps
PLEASE HELP ! i need to get this done soon please help
Answer:
2. 7
Step-by-step explanation:
f(-3) = -(-3) + 4
= 3 +4
= 7
I need this answer ASAP!!!!!!
What is 1 + 2?
Answer:
3
Step-by-step explanation:
Find the length of the missing side. The triangle is not drawn to scale
Answer:10
Step-by-step explanation:Use the Pythagorean theorem a^2 + b^2 = c^2, a is 8 and b is 6 so now you have 8^2 + 6^2 = C^2 this simplifies to 64 + 36 = c^2 those 2 numbers add up to 100 so C^2 is 100 then to get C you take the square root of 100 which is 10
The missing side 10.
Option C is the correct answer.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
Applying the Pythagorean theorem.
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = √100
c = 10
Thus,
The missing side is 10.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ1
If you factor 27x^3+1 in form (a-b)(a^2+ab+b^2) what is the value of a?
Answer:
3x
Step-by-step explanation:
i took the test and got it right
What is the length of segment MO?
PHOTO ABOVE
I need to pass!!!!!
Pls try!!!
Answer: 13
Step-by-step explanation: In the picture, you have angle H congruent to angle N, Side MN congruent to side GH, and angle G congruent to angle M. That means that these two triangles are congruent by ASA. Therefore by CPCTC, side GI is congruent to side MO, which means that MO is 13.
What is the slope of the line that passes through these two points (0, -2) and (3, -4)?
Answer:
2
Step-by-step explanation:
Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{-4-(-2)}{3-0}[/tex] = [tex]\frac{6}{3}[/tex] = 2
The slope of the line will be "[tex]-\frac{2}{3}[/tex]".
The given points are:
[tex](x_1, y_1) = (0, -2)[/tex]
[tex](x_2, y_2) = (3, -4)[/tex]
As we know,
→ The slope of the line:
= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
By substituting the values, we get
= [tex]\frac{-4-(-2)}{3-0}[/tex]
= [tex]\frac{-4+2}{3}[/tex]
= [tex]-\frac{2}{3}[/tex]
Learn more about slope of line here:
https://brainly.com/question/18891994
In a group of 27 pupils, 7 play the flute only.
5 play the piano only.
10 play both instruments.
A student is chosen at random.
What is the probability the student plays neither instrument?
Answer:
5/27
Step-by-step explanation:
I wrote it as a fraction, but the explanation is, if you're finding out how many who don't play instruments, you first need to find out who many do play instruments, so you add the numbers together.
10+5+7 = 22
So the probability that you'll pick one who does play an instrument would be 22/27 (because 22 out of the 27 pupils play an instrument.) But remember that's not what it's asking us for.
You have to subtract 27 - 22 to get the pupils who don't play instruments, you get 5, so the probability is 5/27 (5 pupils out of 27 don't play instruments.)
To put this in a percent, just divide the top number by the bottom number and move the decimal 2 places over, you get 18.5% or 19% both answers are correct depending on rounding.
Using the equation y = 3x – 5, what would the output be for an input of 4
Answer:
output(y)=7
Step-by-step explanation:
y=3(4)-5
<=> y= 12-5
<=> y= 7
One minute after takeoff, a rocket carrying the space shuttle into outer space reaches a speed of 547 m/s. What was the average acceleration of the rocket during that initial minutes
Answer:
8000 meters per second
Step-by-step explanation:
The value of y varies directly with the value of x. If x = 8 then y = 320. What is the value
of x when y = 52?
Answer:
1.3
Step-by-step explanation:
I believe this is correct because if you divided 320 by 52 you get 6.15384615385 (or just 6.1) and since we did it to the Y operation we do it to the X operation and x, aka 8, divided by 6.1 equals 1.3.
I'm not 100 percent sure about this, this was very rushed. xx
Help me now!!!!! This is due at 12
Answer:
umm what grade are you in???
144/9= 16!!!!!
Step-by-step explanation:
anyways wont act exactly like you and the answer is 16
A. an angle measures . What is the measure of its supplement?
B. An angle measures . What is the measure of its complement?
there are 2 parts plz answer both.
Answer:
Fkgjjgjvvkvkkv
Step-by-step explanation:
Mcmvvnvnvfngnfkkfkfkfxkcjccnvnvnvvn
Hhh
Is this a Right Triangle 9 m, 15 m, 17 m
Yes or No?
Answer:
No it would not be because two sides added up would not equal the other side
Step-by-step explanation:
Answer:
No it is not.
Step-by-step explanation:
All right triangles follow the Pythagorean theorem [tex]a^2+b^2=c^2[/tex] where the squares of the two shorter sides of the right angle triangle is equivalent to the square of the longest side.
Squares of the two shorter sides:
[tex]9^{2}+15^{2}=306[/tex]
Square of the longer side:
[tex]17^{2}=289[/tex]
∵ [tex]306\neq 289[/tex], ∴ the triangle is not a right angle triangle.
I hope this helps :)
The difference of the squares of two positive consecutive integers is 991. Find the integers.
Answer:
The numbers are 495 and 496.
Step-by-step explanation:
[tex](x+1)^{2} -x^{2} =991\\x^{2} +2x+1-x^{2} =991\\2x+1=991\\2x=990\\x=495[/tex]
Solve the system of equations. x + 3y= -8 4x + 4y = 0
Answer:
x = -3
y = 4
Step-by-step explanation:
if 3 apps cost 12$ how how much would 5 cost
Answer:
$20
Step-by-step explanation:
12 / 3 = 4
$4 per app
4 x 5 = 20
The sum of 3r2 + 58 - 6 and -r2 + 3x + 9 is?
Answer:
2r ^2 +61+3x
Step-by-step explanation:
1 Collect like terms.
(3{r}^{2}-{r}^{2})+(58-6+9)+3x(3r
2
−r
2
)+(58−6+9)+3x
2 Simplify.
2{r}^{2}+61+3x2r
2
+61+3x
what is the rule for gallons
Answer:
Many aquarists swear by the standard rule of “one inch of fish per gallon” rule.
Step-by-step explanation:
The coordinate grid shows three points P, Q, and R:
PLEASE HELP!!!!!!!!
A four-quadrant coordinate grid from negative 10 to positive 10 in increments of 2 is drawn. Point P is plotted on the ordered pair negative 6, negative 2. Point Q is plotted on the ordered pair negative 6, negative 6. Point R is plotted on the ordered pair 4, negative 6.
The distance between Q and R is ______ units.
Answer:
the answer is 10 the other dude is right
Step-by-step explanation:
Answer:
10
Step-by-step explanation:i just took the test and got it right :)
Sarah's math grade average is 93.3333(repeating)%. What is the repeating decimal part of her grade as a fraction?
Answer:
280/3
Step-by-step explanation:
multiply the number by 10x
subtract it by the original number on both sides
it should give u 9x to whatever answer u got multiply by 10 then divide by 90
There are 8 big fish for every
small fish.
There are 4 big fish for every
small fish.
A home improvement store advertises 60 square feet of flooring for $287.00, which includes an $80.00 installation fee. Write an equation to represent the cost of one square foot of flooring
Given :
A home improvement store advertises 60 square feet of flooring for $287.00, which includes an $80.00 installation fee.
To Find :
Write an equation to represent the cost of one square foot of flooring.
Solution :
Fee of one square feet, p = $287/60 = $4.783 .
So, slope of equation will be 4.783 .
Price of installation is $80 dollar.
Therefore, equation to represent the cost of one square foot of flooring is :
C = 4.783n + 80
Here, C is total cost and n is number of square feet.
Hence, this is the required solution.
how to use the pythagorean theorem on a rectangle that is missing a side and its represented by a letter?
Answer:
Wrong
Step-by-step explanation:
Pythagorean theorem is not used for rectangles but only for triangles
change 1700kg into tonnes
Answer:
1.7 tonnes
Step-by-step explanation:
1700/1000 = 1.7
1.7 tonnes