The table shows the calories burned during exercise.
(picture of the table attached)
Which statement is true?
A)The y-intercept of the function is (15, 75).
B)The rate of change is 15 calories burned per minute.
C)A linear function to model the calories burned, y, as a function of time in minutes, x, is y = 5x.
D)An exponential function to model the calories burned, y, as a function of time in minutes, x, is y = 5x.
Answers
We have then that the slope of the line is:
[tex]m = \frac{y2-y1}{x2-x1} [/tex]
Substituting values:
[tex]m = \frac{150-75}{30-15} m = 5[/tex]
Then, the equation of the line is:
[tex]y = 5x [/tex]
Answer:
C) A linear function to model the burned calories, and, as a function of time in minutes, x, is y = 5x.
Answer: C. A linear function to model the calories burned, y, as a function of time in minutes, x, is y = 5x.
Step-by-step explanation:
Related Questions
HELP ASAP WILL GIVE BRAINLIEST
Answers
I mean it could also be viewed as if they intersect at every point so I'm sorry if its wrong (the M is slightly above the N so it should be parallel)
Its perpendicular if it only intersected at one point- 1 solution
If it intersects at every point- infinitely many solutions
The lines are parallel because they are side by side and have the same distance continuously between them. Please give me brainliest because I need one more to turn Virtuoso
Andy currently runs a total of 12 miles each week. He plans to increase the number of miles he runs each week by 1.5 miles untill he is running a total of 26 miles each week. How many weeks will it take Andy to reach his goal?
Answers
26 = 1.5n + 12
14 = 1.5n
It will take 9.333 weeks for andy to reach 26 miles, so at 10 weeks he will be running more than 26.
Shelly is installing a fence around the edge of her property. Her property measures 41 meters by 35 meters. What is the perimeter of Shelly's property?
A.142 m
B.152 m
C.1,420 m
D.1,435 m
Answers
The perimeter of Shelly's property is 152 meter.
Option (B) is correct.
It is required to find the perimeter.
What is rectangle?A plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square. A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees.
Given that:
The Shelly's property is in the shape of rectangle.
Length of property=41 meter
Breadth of property=35 meter
Perimeter of rectangle=2(Length+ Breadth)
Perimeter of rectangle=2(41+ 35)
Perimeter of rectangle=2*76
Perimeter of rectangle=152 meter
Therefore, the perimeter of Shelly's property is 152 meter.
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If f(x)=2x+1 and g(x)=x^2-7, find (f+g)(x)
A. x^2=2x-6
B. 2x^2-15
C. x^2+2x+8
D. 2x^3-6
Answers
(f+g)(x) = 2x + 1 + x^2 - 7
(f+g)(x) = x^2 + 2x - 6
answer
x^2 + 2x - 6
Answer: The correct option is (A) [tex]x^2+2x-6.[/tex]
Step-by-step explanation: We are given the following two functions :
[tex]f(x)=2x+1,\\\\g(x)=x^2-7.[/tex]
We are to find the value of [tex](f+g)(x).[/tex]
We know that
for any two functions p(x) and q(x), we have
[tex](p+q)(x)=p(x)+q(x).[/tex]
Therefore, we get
[tex](f+g)(x)\\\\=f(x)+g(x)\\\\=(2x+1)+(x^2-7)\\\\=2x+1+x^2-7\\\\=x^2+2x-6.[/tex]
Thus, option (A) is CORRECT.
TIMED, need the answer ASAP, will give brainiest
Answers
The equation of a circle is x2+y2-6y+1=0 what are the coordintes of the center and the length of the radius
Answers
The coordinates of the centre will be ( 0,3) and the length of the radius is equal to 2√2.
What is a circle?The circle is defined as the locus of the point traces around a fixed point called the centre and is equidistant from the out trace.
The general form of the equation of the circle is given as:-
( x - h )² + ( y - k )² = r²
We have an equation:-
x² + y² - 6y + 1 = 0
x² + y² - 6y + 9 - 9 + 1 = 0
( x - 0 )² + ( y - 3 )² = 8
By comparing the equation from the standard form we will get the centre ( 0,3) and the radius r = 2√2.
Therefore the coordinates of the centre will be ( 0,3) and the length of the radius is equal to 2√2.
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Line Q is represented by the following equation: 2x + y = 11
Which equation completes the system that is satisfied by the solution (3, 5)? (4 points)
x + 2y = 15
x + y = 15
x + y = 8
x − y = 2
Answers
The coordinates are (3,5) where 3 is the x coordinate and 5 is the y coordinate.
If you substitute (3,5) into x + y = 8
you'll get get
3 + 5 = 8 which is true
Answer:
the Answer is x + y = 8 because 3 + 5= 8
Step-by-step explanation:
If it costs $7.50 to park, how much will the stadium make from parking 10,600 vehicles?
Answers
Mike has attempted 84 free throws. Of those attempted, 63 have gone in the basket. Based on this rate, what is the probability that Mike's next free throw attempt will go in the basket?
Answers
Final answer:
The probability that Mike's next free throw attempt will go in the basket is 75%.
Explanation:
To find the probability that Mike's next free throw attempt will go in the basket, we can use the ratio of successful attempts to total attempts. In this case, Mike has made 63 out of 84 attempts. So the probability can be calculated as:
Probability = Number of successful attempts / Total number of attempts
Probability = 63 / 84
Probability = 0.75
Therefore, the probability that Mike's next free throw attempt will go in the basket is 0.75 or 75%.
Given the system of inequalities below: -3x - y < 12 and 2x + 3y ≥ 9
Answers
y(less than or equal to)-2/3x+9
Simple interest is calculated on the principal in an account using the formula I=prt. How much simple interest does $3,500.00 earn in 6 months at an annual interest rate of 2.5%?
Answers
The graph models the daily high temperature, H(t), in Santiago, Chile, t days after the hottest day of the year. What does the point (0,29) represent?
Answers
The point (0,29) on the graph models the daily high temperature in Santiago, Chile on the hottest day of the year, where '0' represents that hottest day and '29' is the high temperature on that day.
Explanation:The point (0,29) on the graph represents the weather condition in Santiago, Chile on the hottest day of the year. Here, '0' in the pair represents the day which is essentially the hottest day and '29' is the high temperature on that day. It depicts that on this specific day, the highest temperature was 29. The graph is an example of a time series graph, where the changing patterns or trends are displayed over a certain period of time - in this case, the temperature changes across the days following the hottest day of the year.
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Need this geometry answer quick!
(I think its answer c but not sure)
Answers
angle B =50
angle C = 130
#2 The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 57 mushroom pizzas and 38 pepperoni pizzas. What percentage of the pizzas were mushroom pizzas?
Answers
To find this, you add up 57 and 38 to find the total number of pizzas, then divide 57 (number of mushroom pizzas) by 95 (the total). This will give you 0.6, which you miltiply to get a percent. Thus getting 60% as the final answer.
I hope this helps!
To find the percentage of pizzas that were mushroom pizzas, you must divide the number of mushroom pizzas by the total number of pizzas. To find the total number of pizzas, we must add the number of mushroom and pepperoni pizzas together.
57 + 38 = 95
Next, we can complete our division.
57/95 = 0.6
Finally, we should multiply by 100. This is because to convert a decimal to a percentage, we must move the decimal point two places to the right so that this value is out of 100 total percent.
0.6 * 100 = 60%
Therefore, 60% of the total pizzas are mushroom.
Hope this helps!
A survey was conducted that asked 1011 people how many books they had read in the past year. results indicated that x overbarequals14.8 books and sequals16.6 books. construct a 90% confidence interval for the mean number of books people read. interpret the interval
Answers
First, we need to solve for the margin of error, E.
[tex]E=t_{\frac{\alpha }{2}}\cdot \frac{s}{\sqrt{n}}=1.64\cdot \frac{16.6}{\sqrt{1011}}=0.86[/tex]
The lower bound of the confidence interval is
[tex]LB=\overline{x}-E=14.8-0.86=13.94[/tex]
The upper bound of the confidence interval is
[tex]LB=\overline{x}+E=14.8+0.86=15.66[/tex]
Therefore, the 90% confidence interval is (13.94, 15.66).
We are 90% confident that the interval from 13.94 books to 15.66 books does contain the true value of the population mean number of books people read.
a cooking show currently has about 223,00 regular viewers. The number of regular viewers has been decreasing at a rate of 4.7% per year. Which is the best prediction for the number of regular viewers the show will have in 6 years?
35,420
37,167
104,810
167,056
Answers
Pf = Po×(1-b) ^ t
Where:
Pf = final population
Po = initial population
b = decrease rate
t = timpo in years
So:
Pf = 223.00×(1-0.047) ^ 6
Pf = 167,056
The answer is the last option.
Suppose it costs $15 to roll a pair of dice. you get paid 2 dollars times the sum of the numbers that appear on the dice. what is the expected payoff of the game? is it a fair game?
Answers
We can conclude that, the money recieved by the player will be 2(x + y) and game is a fair game.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is it costs $15 to roll a pair of dice and you get paid 2 dollars times the sum of the numbers that appear on the dice.
Assume that you get x and y value on dice 1 and dice 2 respectively. Then the equation representing the money recieved by a individual will be -
2(x + y)
The game will be fair if -
2(x + y) > 15
Now, for the sum of (x + y) = 7, the player will not have any profit. However, from (x + y) = 8, the players will start making profits. So, we can say it is a fair game, if your luck is not bad so far.
Therefore, we can conclude that, the money recieved by the player will be 2(x + y) and game is a fair game.
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Which is the first step in drawing a line graph?
A. Plot a point for each piece of data.
B. Draw x- and y-axes on graph paper.
C. Create a scale that covers the data range.
D. Draw a line of best fit to show a trend.
Answers
Answer:
B) Draw x- & y-axes on graph paper.
Step-by-step explanation:
You need a graph before you can create your line.
The area of a rectangle is represented by the expression 6x^3y^5. Which of the following could be the dimensions of the rectangle?
2xy^2 and 3x^2y^3
2xy^2 and 4x^2y^3
2x^3y and 3y^4
2x^3y and 3xy^4
Answers
Answer:a&c
Step-by-step explanation:
Bernice estimated that 69% of 242 is 168. Is her estimate reasonable?
Answers
Since she estimated 69%, you could do either of these options. You could...
A. Divide 242 (or .5) to show how much half off would be, then compare her estimate with half of 242 (121). OR...
B. Simply divide 242 by 69% (.69) and compaor her estimate to the exact amount (166.98).
I hope this helps!
Answer:
D Yes, because her calculation should be 70% of 240.
Step-by-step explanation:
D
simplify. x-2/(x^2+4x-12)
Answers
x-2/(x^2+4x-12)
factoring out the denominator we get:
x^2+4x-12
=x^2-2x+6x-12
=x(x-2)+6(x-2)
=(x+6)(x-2)
thus our expression will be:
(x-2)/[(x+6)(x-2)]
simplifying the above we get:
1/(x+6)
Answer: 1/(x+6)
What is the sum of the measures of the interior angles of a regular polygon if each exterior angle measures 120? A. 720 B. 900 C. 1080 D. 180 E. 360 F. 540
Answers
Sum of the measures of the interior angles of a regular polygon is 180°, using properties of interior and exterior angle and regular polygon.
What is a regular polygon?
A regular polygon is a n-sided polygon in which all sides are of same length and are symmetrically placed about the center.
Properties of interior and exterior angles:
1. The sum of adjacent interior and exterior angle for a polygon is 180°.
2. The sum of exterior angles of a polygon is always equal to 360°.
Here,
Let's consider number of exterior angle=x
given that: each exterior angle measures 120°.
Now, using 2nd property,
x*120 = 180
x = 3
So, total number of exterior angles are = 3
Using 1st property,
each interior angle measures = 180 - 120
= 60°
And total number of interior angle = total number of exterior angle
= 3
So, the sum of interior angles = 3*60
= 180° .
Hence, we reached our answer.
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Please help!!!!!!!!!!!!!!
Answers
A trait has two alleles, and their frequencies are represented by p and q. if p = 0.90, what is q?
Answers
Therefore, we have the following equation:
p + q = 1
Substituting values we have:
0.90 + q = 1
Clearing the value of q we have:
q = 1 - 0.90
q = 0.10
Answer:
The value of q is given by:
q = 0.10
A cone and a pyramid have the same height and same volume. If the radius of the base of the cone is r, what is the side length of the square base of the pyramid?
Answers
Vc=πr²h/3
Vp=(lwh)/3
make it equal to each other and cancel out the 3.
πr²h = lwh
heights will cancel out
πr²=lw
l=(πr²)/w
To find the side length of the square base of a pyramid with the same volume and height as a cone with radius r, one can use the volume formulas V = (1/3)πr²h for a cone and V = (1/3)a²h for a pyramid. Setting them equal and solving for a yields a = r√π, indicating that the pyramid's base side length is the cone's radius times the square root of π.
The student is asking for the relationship between the dimensions of a cone and a pyramid that have the same volume and height. Specifically, if we have a cone with a radius r, and we want to find the side length of a square base of a pyramid that also has the same volume and height as the cone.
The volume of a cone is given by the formula [tex]V = (\frac{1}{3}) \pi r^2h[/tex], where radius of the cone's base is denoted by 'r' and the height is denoted by 'h'. For a pyramid with a square base, the volume formula is [tex]V = (\frac{1}{3} )a^2h[/tex], where a is the side length of the square base and h is again the height.
Given that both volumes are equal, we can set the formulas equal to each other and solve for a: [tex](\frac{1}{3} )\pi r^2h = (\frac{1}{3} )a^2h[/tex]. The heights cancel out, and we can simplify the equation to solve for the side length a: a = r√π. Therefore, the side length of the square base of the pyramid is the radius of the cone's base times the square root of π.
You bought 12 one-gallon bottles of apple and orange juice for a school dance. the apple juice was on sale for $1.00 per one-gallon bottle. the orange juice was $1.75 per one-gallon bottle. you spend $15.00. how many bottles of each type of juice did you buy?
Answers
x: bottles of apple juice
y: bottles of orange juice
We write the system of equations:
x + y = 12
1x + 1.75y = 15
Solving the system of equations we have:
x = 8
y = 4
Answer:
you did buy:
8 bottles of apple juice
4 bottles of orange juice
What is the volume of a cylindrical bucket that is 35 cm tall and has a base with a diameter of 21 cm? Use pi= 22/7 and round your answer to the nearest tenth of a cubic centimeter.
Answers
Formula for the volume of a cylinder: [tex]V = \pi r^{2}h [/tex]
Plug in the values and solve[tex] 12,127.5 = \frac{22}{7} * 10.5^2 * 35 [/tex]
The answer is 12,127.5. Hope I helped!
Answer: 12,127.5
Step-by-step explanation:EDGE2021
What size does the radius of a sphere need to be for its volume to be larger than its surface area? HINT! It is less than 10. HINT! It is NOT a whole number. If you can show me a whole number for a radius where the surface area and volume are equal, then any radius bigger than that will have a larger volume.
To get full points you will need to SHOW me formulas for surface area of a sphere, volume of a sphere, and calculations on how you found your answer.
Question 1 options:
The formula for the surface area of a sphere is 4 x pi x radius^2
The formula for the volume of a sphere is 4/3 x pi x radius^3.
Answers
volume of a sphere=(4/3)*pi*r³----> (r/3)*(4*pi*r²)
and
surface area of sphere=4*pi*r²
so
the volume of a sphere=(r/3)*surface area of sphere
therefore
if r=3
volume of a sphere=(3/3)*surface area of sphere
volume of a sphere=surface area of sphere
if r> 3
the term (r/3) is > 0
so
volume of a sphere > surface area of sphere
if r<3
the term (r/3) is < 0
so
volume of a sphere < surface area of sphere
examples
1) for radius r=3 units
volume of a sphere=(4/3)*pi*3³----> 113.04 unit³
surface area=4*pi*3²----> 113.04 units²
volume is equal to surface area
2) for radius r=10 units
volume of a sphere=(4/3)*pi*10³----> 4186.67 unit³
surface area=4*pi*10²----> 1256 units²
volume is > surface area
3) for radius r=2 units
volume of a sphere=(4/3)*pi*2³----> 33.49 unit³
surface area=4*pi*2²----> 50.24 units²
volume is < surface area
Write the equation of the line going through the point (4,6) that is perpendicular to the lie 3x+6y=12
Answers
6y = - 3x + 12
y = - 1/2x + 2
Since your slope is - 1/2, we take the opposite reciprocal to find the perpendicular slope. Your perpendicular slope is 2.
y = 2x + b
Plug in the point to solve for b and get your final line.
6 = 2(4) + b
6 = 8 + b
6 - 8 = b
- 2 = b
y = 2x - 2 is your perpendicular line
Write the equation of a line that is parallel to y=-0.75x and that passes through the point (8,0)
Please help
Answers
Answer:
The equation of the line that is parallel to the given is equal to the expressions below:
[tex]\displaystyle \boxed{ y = -0.75(x - 8) \text{ or } y = -0.75x + 6 }[/tex]
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slopeb - y-interceptPoint-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinatey₁ - y coordinatem - slopeStep-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyley = - 0.75x \\\text{Point } (8, 0) \\[/tex]
Step 2: Find Equation
Recall that a parallel line has the same slope as the one that is given. Therefore, we can define the slope of our parallel line to be m = -0.75:
[Point-Slope Form] Substitute in variables:[tex]\displaystyle y - 0 = -0.75(x - 8)[/tex]Simplify:
[tex]\displaystyle \boxed{ y = -0.75(x - 8) }[/tex]
We can rewrite this form into slope-intercept form as well by expanding:
[tex]\displaystyle y = -0.75(x - 8) \rightarrow \boxed{ y = -0.75x + 6 }[/tex]
∴ we have found the equation of a line that is parallel to the given information.
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Topic: Algebra I
Answer:
what the guy above said
Step-by-step explanation: