Assuming that the x is for multiplying, your answer would be 7/18. The decimal is 0.388889. Hope this helped!
A car is driving down a long Steep Hill the elevation above sea level in feet of the car when it is D miles from the top of the hill is given by any equals 7500 - 250 D where D can be any number from 0 to 6 find the slope and intercepts of the graph of this function explain what they mean in the context of the moving car
Answer:
This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.
One potential confusion students may have follows from the subtle difference between what the car is doing and the idea of slope as the ratio between the change in vertical distance on the graph and the change in horizontal distance on the graph. Because the car is traveling one mile on a down-hill slope, the situation could be represented as a right triangle with a hypotenuse of 5,280 ft and a leg of 250 ft; using the Pythagorean Theorem they would find that the other leg is approximately 5,274 ft. Following through on this interpretation, a student might conclude that the car travels a horizontal distance of approximately 5,274 ft for every 250 ft in vertical distance and arrive at a slope of approximately -0.047. While this is, in some sense, the slope of the hill, it is not the slope of the function as described. This interpretation yields numbers that are very close to the situation described in the task, yet conceptually different since the distance traveled by the car would now be expressed in terms of horizontal distance traveled as opposed to distance along the slope of the hill to compute the elevation. If students do indeed pursue this line of reasoning, the task provides an opportunity to compare and contrast the graph of the function and what it represents with a drawing of the hill and the vertical and horizontal distances traversed with each mile down the slope.
Step-by-step explanation:
From the given function in terms of D the elevation of the car above sea
level can be determined.
Responses:
The slope is the decrease in the elevation per unit increase in distance from the top of the hill.The y-intercept is the elevation of the top of the hill above sea level.The x-intercept is the distance from the top of the hill top when the elevation of the car is at sea level.How can the linear function for the slope and intercept be interpreted?Given:
The function that gives the elevation of the car above sea level, from the top of the hill is given as follows;
Elevation above sea level = 7500 - 250·D
Where;
0 ≤ D ≤ 6
Required:
The meaning of the slope and intercepts of the graph of the function.
Solution:
From the given linear function, of the elevation of the car, we have;
The slope which is -250 = The decrease in the elevation when the distance of the car from the top of the hill increases by 1 mile.The y-intercept, which is 7,500, is the elevation above sea level when the car is 0 mile from the top of the hill, which is when the car is at the top of the hill.The x-intercept is the point at which the elevation, which is the distance the car will be from the top of the hill when it is at sea level.Learn more about linear functions here:
https://brainly.com/question/4025726
Justin and his friends went to a movie that started at 7:35 p.m. Justin got home 50 minutes after the movie ended. What time did Justin get home? (elementary not highschool)
Answer:
There is no set length for the movie, but usually they're about 2 1/2 hrs so probably 10:55?
HELPPP PLEASEEE ILL GIVE B IF CORRECT AND EXPLAIN
What is the common difference of the arithmetic sequence on which the series is based?
: 3 + 4.5 + 6 + 7.5 + 9 + 10.5.
Answer:
Step-by-step explanation:
1.5
Hope that helps!
Answer:
1.5
Step-by-step explanation:
......................
6(1 - 6x) < 38 - 4x
What is the answer to this equation.
Answer:
x>-1
Step-by-step explanation:
Answer:
x > -1
Step-by-step explanation:
Which of the following is an example for a physical property that can be exploited for sparation?
(3i+5)+(2-6i) simplify
Answer:
(3i+5)+(2-6i)
⇒ 3i+5+2-6i
⇒3i-6i+5+2
⇒-3i+7
The simplified form of (3i+5)+(2-6i) will be -3i+7
66 POINTS FOR THIS QUESTION!!! There are 48 students in a school play. The ratio of boys to girls is 5:7. How many more girls than boys are in the play?
Write the expression in repeated multiplication form. Then write the expression as a power. (-8)^3*(-8)^4 The expression in repeated multiplication form is... can someone help me im kinda confused
Given:
The expression is
[tex](-8)^3\cdot (-8)^4[/tex]
To find:
The expression in repeated multiplication form and then write the expression as a power.
Solution:
We have,
[tex](-8)^3\cdot (-8)^4[/tex]
The repeated multiplication form of this expression is
[tex]=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)][/tex]
[tex]=(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)[/tex]
Clearly, (-8) is multiplied seven times by itself. So,
[tex]=(-8)^7[/tex]
Therefore, the repeated multiplication form of the given expression is [tex](-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)[/tex] and the expression as single power is [tex](-8)^7[/tex].
Pls help!!!! Pic attached
2.
Write an equation of a line with the given slope and y-intercept.
m = 1, b = 4
A. y = –1x + 4
B. y = 4x + 1
C. y = x + 4
D. y = x – 4
Answer:
the answer is C
Step-by-step explanation:
You would take and the y axis would equal x since the m is 1 it would just be x and then since you have the 4 you would just add it to the y=x and then it would be y=x+4
Which expression is equivalent to 5(8+4)
A 8(5+4)
B) 4(8+5)
C) 5(9+3)
D) 5(10+1)
Answer:
5(8+4)=60
Step-by-step explanation:
To find the answer answer each one to get 60
A. 8(5+4)=64
B. 4(8+5)=52
C. 5(9+3)=60
D. 5(10+1)=55
So that means C is correct.
The tide in Port Aransas peaks every 12.2 hours. The tide ranges from 2.9 to 1.3 meters. Suppose that the low tide is at t=1, where t is the time in hours.
Amplitude:
Vertical Shift:
Period:
Phase Shift:
What direction is the phase shift?
To the nearest thousandths, determine the height of the table at 3.5 hours?
[tex]\int\limits^a_b {x} \, dx[/tex]Answer:
[tex]x^{2} \lim_{n \to \infty} a_n[/tex]
Step-by-step explanation:
What happens to the function f(x)=(x−1)2+1 when it becomes f′(x)=(13x−1)2+1?
It is compressed toward the y-axis.
It is stretched away from the x-axis.
It is compressed toward the x-axis.
It is stretched away from the y-axis.
Option (2). function f will be stretched away from the x-axis to form the image function f'.
Rule for the transformation of a function: For a function is given by,
f(x) = a(x - h)² + k
If a > 1, graph of the function will be stretched vertically (towards
y-axis or away from the x-axis).
If 0 < a < 1, graph of the function will be compressed vertically
(towards x-axis or away from the y-axis)
Function given in the question,
f(x) = (x - 1)² + 1
Transformed function → f'(x) = (13x - 1)² + 1
[tex]f'(x)=13(x-\frac{1}{13})^2+1[/tex]
By applying rule of the transformation,
a = 13 and 13 > 1
Therefore, function will be stretched vertically away from the x-axis.
Hence, Option (2) will be the answer.
Learn more about the transformations here,
https://brainly.com/question/19279703
find area of triangle
Answer:
8 in²
Step-by-step explanation:
formula for area of a triangle is 1/2(bxh)
1/2(4x4)
1/2(16)
8
Please HELP ME T-T Roxxane all she wanna do is party all night
Answer:
Step-by-step explanation:
{-1,0,1,2}
help i don’t get this
Answer:
0.42
Step-by-step explanation:
4.2 * 1/10 = 4.2/10
= 0.42
Find tan
A 8/15
B 15/8
C 15/7
D 8/17
Answer:
cos α = 8/17
Apply Pythagoras theorem for triangle ,
Let get unknown side of triangle is y
17^2 = 8^2 + y^2
17^2 - 8^2 = y^2
225 = y^2
y = sqrt(225)
y = 15
tan α = 15/8
Step-by-step explanation:
Answer:
The correct answer is 8/15 on edg
Y'all need help here
Answer:
A
Step-by-step explanation:
Answer:
b. 1 inch : 5 miles is sure
What is the straight-line distance between (-2, -7) and (-4, -9) on a coordinate graph?
Answer:
yeah, the selected is correct
Step-by-step explanation:
distance is...
2 and 2 square root
Math: If f(x) = 2x^2 - 5x - 15, what is f(-3)? *
O
24
42
18
3
Step-by-step explanation:
1 rst. 2 x2-5x-15 da 18 rest
Please help me I don't knoe
Answer:
x = sqrt(147)
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem.
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse.
x^2 +7^2 = 14^2
x^2 +49 = 196
Subtract 49 from each side
x^2 = 147
Take the square root of each side
sqrt(x^2) = sqrt(147)
x = sqrt(147)
Answer:
[tex]7\sqrt{3}[/tex] or 12.12
Step-by-step explanation:
The pythagorean theorem states that a^2 + b^2 = c^2, with a and b representing the legs and c representing the hypotenuse.
7^2 + x^2 = 14^2
49 + x^2 = 196
x^2 = 147
x = [tex]7\sqrt{3}[/tex] or 12.12
What is the slope of these ordered pairs (3,-4(6,1)
Answer:
The slope would be 5/3
Step-by-step explanation:
Let me know if u have to simplify it
Suppose that an individual has a body fat percentage of 18.9% and weighs 141 pounds. How many pounds of her weight is made up of fat? Round your answer to the nearest tenth.
Please respond within the hour
Thanks
here is the proportion I used to get the answer. hopefully this helps
Kayden is a teacher and takes home 100 papers to grade over the weekend. He can grade at a rate of 6 papers per hour. How many papers would Kayden have remaining to grade after working for 10 hours?
Answer:
40 papers
Step-by-step explanation:
6 x 10 = 60
100- 60 = 40
What is the square root of -16
Answer:
The square root of -16 is 4 i
Answer:
You can't but if it was 16, not -16 it will be 4.
Step-by-step explanation:
Select all ratios equivalent to 12:6.
120:60
35:9
55:3
10:5
Please help I’ll do anythng
Calculate the percentage increase of an item that cost R59.99 in 2020 and R 65.99 in 2021
Answer:
the answer is of this question R = 10
Answer:
The answer is 6%
Step-by-step explanation:
[tex]65.99 - 59.99 = \frac{6 \times 100}{100} = 6\%[/tex]
Graph the solution to the following linear inequality in the coordinate plane.
2x + y > 4
Answer:
Step-by-step explanation:
Answer:
Please refer to the attachment
Hope it helps
Pls mark me as the brainliest
Thank you
Can someone help me out with this one???!!!
Answer:
b=6/5
Step-by-step explanation: