Gwen, Tristan, and Keith like to work out at the gym. They each have an app on their phone that estimates the calories they burn. By the time Tristan and Keith started exercising, Gwen had already burned 100 calories. Gwen burns 10 calories every minute, Tristan burns 125 every 10 minutes, and Keith burns 300 calories every 30 minutes. Let x represent the number of minutes since Tristan and Keith started exercising and y represent the number of app-estimated calories burned. Part A
Answer:
For part A)
Let's make a function for each person, and then combine them to find total calories
Gwen burns 10 cal/min, and had already burned 100 calories when Tristan and Keith started (Yg=100 when x=0)
Yg= 10x + 100
Step-by-step explanation:
I got a 100% on it.
what is greater 4 liter or 1 gallon
Which situation could best be represented by this linear equation?
24x + 38y = 520
C. If x represents the number of bracelets sold at $24 each and y represents the number of rings sold at $38 each, the total sales were $520.
Solve this quadratic equation using the quadratic formula. 3x2 + 4x = 6
Answer:
x= -2 + and - sqrt 22 /3
Step-by-step explanation:
Find the area enclosed by the figure.
What number is 40% of 135?
Enter your answer in the box.
what values of x make up f(x)=3x+1 equal to g(x)=3^x+1? 0, 1, 2, 3 select all that apply
Let us plug-in the values of x to know
> x = 0
f(0) = 3(0) + 1 = 1
g(0) = 3^0 + 1 = 2
> x = 1
f(1) = 3(1) + 1 = 4
g(1) = 3^1 + 1 = 4
> x = 2
f(2) = 3(2) + 1 = 7
g(2) = 3^2 + 1 = 10
> x = 3
f(3) = 3(3) + 1 = 10
g(2) = 3^3 + 1 = 28
Therefore the only answer is:
1
Which equation correctly applies the distributive property A. −2.5⋅(4⋅1.045)=(−2.5⋅4)⋅1.045 B. 50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005) C. (0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2) D. −1.2⋅0.57⋅0.5=−1.2⋅0.5⋅0.57
By observing the given options we can conclude that equation
C. (0.5⋅0.5) + (0.5⋅0.3) + (0.5⋅0.2) = 0.5⋅(0.5 + 0.3 + 0.2) correctly applies the distributive property.
What are the other properties?The other two properties are commutative property and associative property.
We know the distributive property for four terms states,
a(b ± c± d ± e) = ab ± ac ± ad ± ae.
∴ From observing the given options we can conclude that
0.5⋅(0.5 +0.3 + 0.2) = (0.5⋅0.5) + (0.5⋅0.3 )+ (0.5⋅0.2).
Or
(0.5⋅0.5) + (0.5⋅0.3) + (0.5⋅0.2 ) = 0.5⋅(0.5 + 0.3 + 0.2).
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is 0.142045454545 a repeating or terminating number??
The distance between two cities is 145 miles. A truck can cover this distance in 2.5 hours. The speed of a car is 1.5 times faster than the speed of the truck. How long does it take them to meet, if they start moving towards each other simultaneously?
The speed at which the distance is covered by the two vehicles is the sum of their speeds:
... (truck speed) + 1.5×(truck speed) = 2.5×(truck speed)
The time required to cover the distance is inversely proportional to speed, so is
... (2.5 hours)/2.5 = 1.0 hours
It takes 1.0 hours for the vehicles to meet.
_____
The speed of the truck is (145 mi)/(2.5 h) = 58 mi/h
The speed of the car is 1.5 × 58 mi/h = 87 mi/h.
The speed at which they move toward each other is
... 58 mi/h + 87 mi/h = 145 mi/h
So, the time it takes to cover 145 miles is
... (145 mi)/(145 mi/h) = 1.0 h
Line ET is a tangent to circle A at point T and the measure of ∠TNG is 25°
What is the measure of ∠NET?
A) 130°
B) 50°
C) 65°
D) 90°
In the figure, sin ∠MQP = ______.
A. Cos N and Sin R
B. Sin R and Sin N
C. Cos N and Sin M
D. Cos R and Sin N
I WILL MARK BRAINLIEST!!!!! 24 POINTS!!!!!
we know that
in the right triangle MNR
[tex]Sin(N\°)=Cos(R\°)[/tex]
[tex]Sin(56\°)=Cos(34\°)[/tex]
Because
[tex]N+R=90\°[/tex]
[tex]56\°+34\°=90\°[/tex] --------> by complementary angles
so
sin ∠MQP=[tex]Sin(56\°)[/tex]
therefore
the answer is the option
D. Cos R and Sin N
Suppose that a person with a push mower can mow a large lawn in 2 hours, whereas the lawn can be mowed with a riding lawn mower in 1 hours. working together, how long will it take to mow the lawn
2/3 hours take to mow the lawn.
what is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Time taken to mow by push mower= 2 hours
Time taken to mow by riding mower= 1 hours
So, if working together the time taken
= 1 / (1/2 + 1/1)
=1/ (3/2)
= 2/3
Hence, it will take 2/3 hours.
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427 thousand conveted into scientific notation
A classic counting problem is to determine the number of different ways that the letters of "balloon" can be arranged. Find that number.
The number is:
1260
Step-by-step explanation:We know that the number of ways of arranging n items is calculated by the method of permutation.
If n letters are to be arranged such that there are [tex]r_1,r_2[/tex] items each of the same type.
Then, the number of ways of arranging is:
[tex]\dfrac{n!}{r_1!\times r_2!}[/tex]
We are asked to find the number of ways of arranging the letters of "Balloon"
There are a total of 7 words such that 'l' occurs two times and 'o' occurs two times.
Hence, the number of ways of arranging them are:
[tex]=\dfrac{7!}{2!\times 2!}\\\\=\dfrac{7\times 6\times 5\times 4\times 3\times 2!}{2!\times 2}\\\\=1260\ ways[/tex]
Graham uses a 10 by 10 grid to model a decreasing pattern. He cuts off a section representing a percent of the current area so that the remaining area represents the next term in the pattern, rounded to nearest whole centimeter. The area after each cut is shown on the graph.
After each cut, the remaining area is___% of the previous area
After the first cut, the remaining area represents 70% of the previous area.
How to calculate the areaLet's assume the initial area of the 10 by 10 grid is 100 square centimeters. After the first cut, a certain percentage of the current area is removed, leaving behind the remaining area. Let's say the remaining area after the first cut is 70 square centimeters.
To calculate the percentage of the remaining area compared to the previous area, we can use the formula:
(remaining area / previous area) * 100
In this case:
(70 / 100) * 100 = 70%
So, after the first cut, the remaining area represents 70% of the previous area.
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Mrs. Barlow's math class took a test yesterday. Out of 60 students, 70% of them passed. How many of Mrs. Barlow's students passed the test?
Greg practiced playing his clarinet for 12 minutes He has practiced 40% of the amount of time he needs to practice today how many more minutes does Greg need to practice today?
Evaluate the function for x = 8. f(x)=x^2/16-2x A. –15 B. 20 C. –12 D. –24
A sports club plans to have its lawn mowed. The cost of mowing x square feet of lawn is given by the function f(x) = 0.04x + 3.5, where f(x) represents the cost in dollars. The total area that needs to be mowed is given by the function g(x) = 12x.
Which function best describes C(x), the total cost of mowing the lawn of the sports club?
A) C(x) = 0.48x + 3.5x
B) C(x) = 0.48x2 + 3.5
C) C(x) = 0.48x2 + 42x
D) C(x) = 0.48x2 + 42
D
This is the plato answer
An ounce of pine nuts cost $1.40 if Ellen buys 2.5 ounces of pine nuts, how much will she have to pay
What is the locus of all points that are a fixed distance from a given point? A) angle B) circle C) triangle D) line segment
Roger can run one mile in 8 minutes. jeff can run one mile in 6 minutes. if jeff gives roger a 1 minute head start, how long will it take before jeff catches up
As of this writing, the powerball lottery is run in 42 states. winning the jackpot requires that you select the correct five numbers between 1 and 59 and, in a separate drawing, you must also select the correct single number between 1 and 39. find the probability of winning the jackpot. 34.
Final answer:
The probability of winning the Powerball jackpot is 1 in 292,201,338.
Explanation:
To find the probability of winning the Powerball jackpot, we need to calculate the probability of selecting the correct five numbers between 1 and 59 and the correct single number between 1 and 39.
The probability for each part is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
For the five numbers, there are 59 possible choices and we need to select 5, so the probability is 1/59 × 1/58 × 1/57 × 1/56 × 1/55.
For the single number, there are 39 possible choices, so the probability is 1/39.
To find the overall probability, we multiply the probabilities of both parts together: (1/59 × 1/58 × 1/57 × 1/56 × 1/55) × (1/39) = 1/292,201,338.
Find the first partial derivatives of the function. f(x, y) = ax + by/ cx + dy
The partial derivatives of the given function f(x, y) = ax + by / cx + dy with respect to x and y have been calculated, showing how the function changes with each variable while holding the other constant.
Explanation:For the function f(x, y) = ax + by / cx + dy, the first partial derivatives with respect to x and y are:
∂f/∂x = a(cy - by') / (cx + dy)²∂f/∂y = (ax - ay) / (cx + dy)²These partial derivatives measure the rate of change of the function f(x, y) with respect to x and y while treating the other variable as constant.
In the figure, AB¯¯¯¯¯ is parallel to DE¯¯¯¯¯ .
Select from the drop-down menu to correctly complete the statement.
Triangle ABC and triangle DEC are A.Similar B. Nonsimilar
Answer:
(A) Similar triangles
Step-by-step explanation:
It is given that AB is parallel to DE, therefore ∠CAB=∠DEC=65°(Alternate angles),
Then from ΔACB and ΔDCE, we have
∠CAB=∠DEC=65°(Alternate angles)
and ∠ACB=∠DCE=50°(Vertically opposite angles)
Thus, by AA similarity, ΔACB is similar to ΔDCE.
Hence, option A that is similar triangles is correct.
Shakira went bowling with her friends. She paid $3 to rent shoes and then $4.75 for each game of bowling. If she spent a total of $42, then how many games did Shakira bowl?
Shakira bowls about 8 games.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Let Shakira bowl x games.
Since Shakira has to pay $4.75 for each game, she would pay $4.75x for x games.
Shakira also paid $3 to rent shoes, therefore, the total money Shakira spent is:
4.75x + 3
Given that, the total spent is $42, therefore,
4.75x + 3 = 42
4.75x = 42 - 3
4.75x = 39
x = 39/4.75
x ≈ 8
Hence, Shakira bowls about 8 games.
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What is 1 4/9 of 9000 feet
which group contains numbers that all mostly round most closely to 1/2 A. 1/5 , 2/9 , 4/8 B. 3/5 , 2/4 , 4/6
Answer:
b
Step-by-step explanation:
what is 1/5 of 80% this is worth 100 points soooo yes
plz solve correctly