The graph shows a proportional relationship between a family's distance from home and the time they spent driving. What is the constant of proportionality? What does the point (1,49) represent?
Answers
Answer:
Step-by-step explanation:
Graph shows the proportional relationship between a family's distance from home and the time spent by them in driving.
Distance from home ∝ time
Distance from home = k(time)
Here 'k' = proportionality constant
For a point (1, 49) on the graph,
49 = k(1)
k = 49 miles per hour
And point (1, 49) will represent 49 miles in 1 hour.
Option (3) is the answer.
Related Questions
Can someone help out with this question
Answers
Find four rational numbers between
−6/7 and 9/14
Answers
Answer:-5/7,-4/7,-3/7,-2/7
Step-by-step explanation:
An arrow is shot up in the air from a height of 3 feet. The height of the arrow, in feet,can be modeled with the function h= -2t^2+12t+3where his the height in feet and is the time in seconds.Enter the average rate of change, in feet per second, from 1 second to 4 seconds
Answers
Answer:
The average rate of change is two feet per second.
Step-by-step explanation:
The height of an arrow shot up into the air from a height of three feet is given by the function:
[tex]h(t)=-2t^2+12t+3[/tex]
And we want to find its average rate of change from one second the four seconds.
The average rate of change is synonymous with the slope. Therefore, we can evaluate the height of the arrow after the first and fourth seconds, and find the slope between them.
After the first second, the height of the arrow is:
[tex]h(1)=-2(1)^2+12(1)+3=13[/tex]
And after the fourth second, the height of the arrow is:
[tex]h(4)=-2(4)^2+12(4)+3=19[/tex]
This yields two points: (1, 13) and (4, 19).
The slope between them is:
[tex]\displaystyle m=\frac{19-13}{4-1}=\frac{6}{3}=2[/tex]
Therefore, the average rate of change from one second to four seconds is two feet per second.
The sum of 2 and the product of 4 and m
PLSSS HELP 50 pointsss
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Answer:
1 and 2
Step-by-step explanation:
sum of 2 is 1+1 and product of 4 is 2x2
Factorise the following expressions :
Answers
Answer:
36x²+96xy+64y²
(6x)²+2×6x×8y+(8y)²
it is in formula of (x+y)²
:.(6x+8y)² or (6x+8y)(6x+8y)
On Monday, 375 students went on a trip to the zoo. All 9 buses were filled and 6 students had to travel in cars. how many students were on each bus?
Answers
Answer:
41
Step-by-step explanation:
(375-6)÷9=369÷9=41
Answer: 41 students were on each bus.
Step-by-step explanation: Subtract the 6 students who traveled in cars from the total students (375 - 6 = 369). Then, divide the 369 students by the 9 buses and get your answer: 41 students per bus.
Find x Question is attached:
PLease I need the answer fast!!!
Answers
Answer:
Step-by-step explanation:
(-3)ˣ⁻² = -243
(-3)ˣ⁻² = (-3)⁵
x-2 = 5
x = 7
A light bulb consumes 5850 watt-hours in 3 days and 6 hours. How many watt-hours does it consume per day?
watt-hours per day
Х
5
?
Answers
Answer:
Step-by-step explanation:
Three days + 6 hours has 24*3 + 6 = 78 hours
You need only set up a proportion
5850 / 78 = x / 24 Multiply by 24
24 * 5850 / 68 = x
1800 watt hours / day
How do I tell my mom I have depression so she will stop hurting me with hurtful words-
Answers
Answer:
Just tell her and if she says you dont tell her that you do. If she continues to hurt you then probaly call the police.
Step-by-step explanation:
Answer:
try to find someone close to you like a relative or best freind and tell them about her. After that try to confront her about it, and bring that close one with you to make you feel more strong. if she says you dont
have it and contiues hurting you tell the police.
Solve the compound inequality. Then graph the solution set.
s-2 <-10 or-3s < 6
Answers
Answer:
{s | s < -8 or s >= -2}
Step-by-step explanation:
In order to solve an inequality we simply have to isolate the variable by applying the opposite operations on each side.
s - 2 < -10 ... add 2 to both sides
s < -8
-3s <= 6 ... divide both sides by -3, since we are dividing a negative number you must flip the sign
x >= -2
Therefore the final answer would be {s | s < -8 or s >= -2} which is the 3rd graphed multiple choice answer as seen attached to this answer.
If Eric Sanchez saves $60 a month by using coupons and doing comparison shopping, (a) what is the amount for a year? (b) What would be the future value of this annual amount over 10 years, assuming an interest rate of 3 percent?
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b. $8384.48
Question 5 Multiple Choice Worth 1 points)
(05.02 MC)
Find the measure of angle x in the figure below:
A - 35
B - 47
C - 51
D - 62
Answers
Answer:
C because to get y u do 180 - 57+61 than for x u do 180 - 62+67
Answer:
x=51
Step-by-step explanation:
y+57+61=180 linear pair
y=180-118=62
in triangle
x+y+67=180sum of interior angle of the triangle is 180
x+62+67=180
x=180-129=51
What is the midpoint of the line segment with endpoints (-2,-2) and (4, 6)
Answers
Answer:
(1, 2)
Step-by-step explanation:
Use the midpoint formula
x1 + x2 / 2 , y1 + y2 / 2
-2 + 4 / 2 , -2 + 6 / 2 =
( 1, 2 )
Work out the perimeter of a semicircle with radius 3cm.
give your answer in terms of pi
Answers
Answer:
(6 + 6π) cm
Step-by-step explanation:
2π(3) / 2 + 3x2
= (6 + 6π) cm
Apply the distributive property to create an equivalent expression.
(3 - 8y) x (-2.5)
Answers
= -7.5+20y
how long does it take to drive 820 feet at 60 mph?
Answers
Answer:
Step-by-step explanation:
820/60=13.6
(rounded)
Answer:
9.32 seconds
Step-by-step explanation:
60 miles x 5280 feet per mile = 316,800 feet per hour
316,800 feet per hour/60 minutes per hour = 5280 feet per minute
5280 feet per minute/60 seconds per minute = 88 feet per second
820 feet/88 feet per second = 9.32 seconds
Find the area of the triangle.
Answers
Answer:
to find the area, multiply the base times the height and divide it by two. we do not have the picture of the triangle, so we cannot answer this but here is the formula
(BxH)/2 = A
A $329.50 gaming system goes on sale for 60% off. You have a coupon for an additional 40%
off the sale price. Does this mean you will get the gaming system for free? Why or why not?
Answers
Answer:
no
Step-by-step explanation:
no because if you multiply $329.50 by .6 you get $197.7, then with the additional 40% (.4) you end up having to pay $79.08
The area of a rectangle is 27 m”, and the length of the rectangle is 3 m less than twice the width. Find the dimensions of the rectangle.
Answers
Answer:
[tex]L = 6[/tex] --- Length
[tex]W = 4.5[/tex] --- Width
Step-by-step explanation:
Given
Let: [tex]L = Length; W = Width[/tex]
[tex]Area = 27m^2[/tex]
[tex]L = 2W- 3m[/tex]
Required
Find the dimensions of the rectangle
Area (A) is calculated as:
[tex]A = L * W[/tex]
This gives:
[tex]27 = (2W - 3) * W[/tex]
Open bracket
[tex]27 = 2W^2 - 3W[/tex]
Express as a quadratic function
[tex]2W^2 - 3W - 27 = 0[/tex]
Expand
[tex]2W^2 + 6W - 9W - 27 = 0[/tex]
Factorize:
[tex]2W(W + 3) - 9(W + 3) = 0[/tex]
[tex](2W - 9)(W + 3) = 0[/tex]
This gives:
[tex]2W - 9 = 0\ or\ W + 3 = 0[/tex]
[tex]2W = 9 \ or\ W = -3[/tex]
Width can not be negative.
So:
[tex]2W = 9[/tex]
[tex]W = 4.5[/tex]
Recall that:
[tex]L = 2W- 3m[/tex]
[tex]L = 2 * 4.5 - 3[/tex]
[tex]L = 6[/tex]
What is the value of the expression? 2^5 x 3^4 x 3^2/ 2 x 3^6x 2^4
Answers
The length of one side of a triangle is 3 feet less than twice the length of its second side. The third side is 2/3 of the sum of the lengths of the first 3 sides. Find the length of all three sides if the perimeter is 6.5
Answers
Answer:
side 1: 1.6
side 2: 2.3
side 3: 2.6
Step-by-step explanation:
side 1: 2x - 3
side 2: x
side 3: 2/3(x + 2x - 3) = 2x-2
(2x - 3) + x + (2x - 2) = 6.5
5x - 5 = 6.5
5x = 11.5
x = 2.3
side 1: 1.6
side 2: 2.3
side 3: 2.6
Todd had 6 gallons of gasoline in his motorbike. After driving 150 miles, he had 3 gallons left. Compute the slope, or rate of change in the amount of gasoline.
The rate of change is __ miles per gallon.
Answers
Answer:
50 miles per gallon, 50/1
Step-by-step explanation:
A stone is thrown upward, its height h meters after t seconds is given by this formular h=30t-5t². Find t when it is at a height of 25m, why are there two answers, what do they mean?
Answers
Answer:
the answer is
T¹=5s
T²=1s
Am not sure about why there's two times , although perhaps the two times indicate the starting time and the other indicate the time when the stone hits 25m above the ground
Step-by-step explanation:
the solving steps are in the picture.
Divide simplify your answer,12/1/4 divide 1/8
Answers
Answer:
24
Step-by-step explanation:
Turn 12 ¼ into a improper fraction
49/4 ÷ ⅛
Make it into a multiplication problem and flip ⅛
49/4 × 8/1
Now you just have to multiply across and then divide because it makes a whole number
392/4
392 ÷ 4 = 98
I was training the cross country team. Every week I expected the students to run 12 3/4 miles every week. If the kids ran
for 5 days that week, how many miles would they need to run each day to meet my expectations ?
Answers
Answer:
x = 2.55 miles per day
Step-by-step explanation:
In English: 5 days * 'x' miles per day = 12 & 3/4 miles total
In algebra: 5x = 12.75
x = 12.75 ÷ 5
x = 2.55 miles per day
Amanda plans to have 20 friends over to Watch NCAA Basketball on Saturday. She plans to serve pizza, wings, soda, and brownies. Each person eats 3 pieces of pizza, 16 ounces of soda, and 1 brownie. Each pizza has 10 slices. She buys 64 oz. bottles of soda. She bakes brownies in 8” X 12” pan and cuts them into 2” X 3” pieces.
How many pizzas does she need?
How many soda bottles does she need?
How many pans of brownies does she need?
If bottles of soda cost $1.69, pizzas cost $12.99, and brownie mix cost $2.39, write an expression to calculate the cost of Amanda’s NCAA tournament party.
Answers
All of the work:
How to solve the amount of pizza she needs:
20 x 3 = 60
60 divided by 10 = 6
How to solve the amount of soda bottled needed:
20 x 16 = 320
320 divided by 64 = 5
How to solve the number of pans she needs:
20(2 x 3) = 40 x 60
40 x 60 divided by 8 x 12 = 5
THE COST CAN BE FOUND BY MULTIPLYING THE NUMBER OF THE ITEM NEEDED AND THE PRICE FOR EACH OF THE ITEM.Number of pizza she needs:6 pizza, costs $77.94
Number of soda bottles she needs:5 bottles, costs $8.45
Number of pans she needs:5 pans, costs $11.95
Add 77.94, 8.45, and 11.95 and get 98.34
What's the area of a circle with diameter 18 units? Question 8 options: A) 9π units2 B) 81π units2 C) π units2 D) 18π units2
Answers
Answer:
B) 81π units²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Radius of a Circle Formula: r = d/2
r is radiusd is diameterArea of a Circle Formula: A = πr²
Step-by-step explanation:
Step 1: Define
Diameter d = 18 units
Step 2: Manipulate Variables
Radius r = 18 units/2 = 9 units
Step 3: Find Area
Substitute in r [Area of a Circle Formula]: A = π(9 units)²[Area] Evaluate exponents: A = π(81 units²)[Area] Multiply: A = 81π units²cual es valor absoluto de -7
Answers
Answer: -7
Step-by-step explanation:
−7
=−7
he total length of a road trip was 15 hours. If highway signs are posted every 0.6 hours, including one at the end of the road trip, how many highway signs will there be on the road trip?
Answers
Answer:
26 highway signs
Step-by-step explanation:
15 ÷ 0.6 = 25 highway signs
Since they mentioned that there was one at the end of the road trip,
25 + 1 = 26
HELP ASAP I WILL GIVE BRAINLIST ( I HAVE ANSWERED #1 SO MOSTLY NEED THE ANSWER TO #2 )
Essential Questions: Lesson 06.05 Graphing Systems of Non–Linear Equations
How can graphing be applied to solving systems of nonlinear equations?
How can constraints be used to model a real-world situation?
Answers
Answer:
2) Constraints can be used to model different variables that cannot equal zero. They can be used in many different cases. For example, modeling money or a ball being dropped.
Step-by-step explanation:
2. Constraints also can be known as imitations are needed in model real-world situations. For example, when projecting budgets in business or also could be restrictions in time, space, or money.