A group of college students developed a solar-powered car and entered it in a race. The car travels at a constant speed of 100 meters per 4 seconds. A solar-powered car on a racetrack.
A. What representation can show the distance the car will travel over time?
B. What expression can show the distance the car will travel over time?
C. Compare the representation and the expression. Which shows the distance traveled over time more clearly? Explain.
Answers
Answer:
A) Distance time graph
B) d(t) = 25t
C) The expression shows the distance more clearly.
Step-by-step explanation:
A) A distance time graph as seen in the attachment provides a representation of the distance travelled.
We are told the car travels at a constant speed of 100 meters per 4 seconds. Which means that 100 m for each 4 hours. So, for 200m, it's 8 hours like seen in the graph and for 300m,it's 12 hours as seen in the graph.
B) And expression for the distance is;
d = vt
Where;
d is distance in metres
v is speed in m/s and t is time
We are told that the car travels at a constant speed of 100 meters per 4 seconds.
Thus, v = 100/4 = 25 m/s
Distance travelled over time is;
d(t) = 25t
C) Looking at both A and B above, it's obvious that the expression of the distance shows a more clearer way of getting the distance because once we know the time travelled, we will just plug it into the equation and get the distance. Whereas, for the representation form, one will need to longer graphs if the time spent is very long.
Related Questions
Nicole bought a meal in a town with a 9% sales tax. She tips 20% on the bill, and then adds the sales tax. What is the total cost of the meal if she orders a $15 menu item. How much was her meal?
Answers
Amount of tip she gave,
[tex]T = 15\times 0.20\\\\T =\$3[/tex]
Amount of tax given :
[tex]Tax=15\times 0.09\\\\Tax = \$1.35[/tex]
So, total amount she paid is :
Total = Actual cost + Tip + Tax
Total = $(15 + 3 + 1.35 )
Total = $19.35 .
Therefore, total amount she paid is $19.35 .
Hence, this is the required solution.
write the sum of 7√28x^6 + 4√7x^6
Answers
Answer: 21.97025026/250
Step-by-step explanation:
What Number is this 1 x 1010^100
Answers
Answer:
2.704814e+300
is what I got
The value of the given number 1 x 10¹⁰⁰ by applying the logarithms is equal to 100.
To find the number represented by 1 x 10¹⁰⁰ using logarithms, we can use the base-10 logarithm function.
The logarithm (base-10) of a number x is denoted as log(x) and represents the power to which 10 must be raised to get the number x.
Here, we have 1 x 10¹⁰⁰, and we want to find the value of x.
Using the logarithmic expression:
log(1 x 10¹⁰⁰) = log(1) + log(10¹⁰⁰)
The logarithm of 1 (log(1)) is equal to 0, so the expression simplifies to:
log(1 x 10¹⁰⁰) = 0 + log(10¹⁰⁰)
Now, using the property of logarithms, log(aᵇ) = b × log(a):
log(1 x 10¹⁰⁰) = 0 + 100 × log(10)
The logarithm of 10 (log(10)) is equal to 1, so:
log(1 x 10¹⁰⁰) = 0 + 100 × 1
Finally:
log(1 x 10¹⁰⁰) = 100
Therefore, the value of the number 1 x 10¹⁰⁰ using logarithms is 100.
learn more about logarithms here
brainly.com/question/34675209
#SPJ2
The given question is incomplete, I answer the question in general according to my knowledge:
What is the value of the number using logarithm 1 x 10^100?
a major Fishing Company does its fishing in a local League the first year of the company's operation it managed to catch 190000 fish due to population decreases the number of fish the company was able to catch decreased by 8% each year how many total fish did the company catch over the first 12 years round to the nearest whole number
Answers
A picture frame 4 inches wide by 6.5 inches high has a 3 inch by 5 inch photograph place in the center. What is the area of the frame?
Answers
Area = l × w
= 6.5 × 4
= 26 feet2
Answer:
[tex]A_f=11~inches[/tex]
Step-by-step explanation:
Area of a Rectangle
A rectangle of width W and height H has an area of:
A = W.H
We have one rectangle inside another. The first rectangle corresponds to the frame and its contents. The second rectangle corresponds to the photograph.
The area of the frame without its contents is the difference between both areas:
[tex]A_f = A_e-A_i[/tex]
Where Ae is the external area of the frame, and Ai is the internal frame of the photograph.
The frame has W=4 inches and L=6.5 inches, thus:
[tex]A_e=4~inches*6.5~inches[/tex]
[tex]A_e=26~inches[/tex]
The photograph has W=3 inches and L=5 inches, thus:
[tex]A_i=3~inches*5~inches[/tex]
[tex]A_i=15~inches[/tex]
The area of the frame is:
[tex]A_f = 26 - 15 = 11~inches[/tex]
[tex]\mathbf{A_f=11~inches}[/tex]
The distance (d) in miles that Cecil runs depends on the number of track practices (p) he attends. D = 2p + 3 i) Solvetheequation d=2p+3forp. ii) How many practices he has to attended to run 13 miles?
Answers
Answer: i) [tex]p=\dfrac{d-3}{2}[/tex]
ii) He has to attend 5 practices to run 13 miles.
Step-by-step explanation:
Given: The distance (d) in miles that Cecil runs depends on the number of track practices (p) he attends.
[tex]d=2p+3[/tex]
i) To solve for p . first subtract 3 from both sides , we get
[tex]d-3=2p[/tex]
Divide both sides by 2
[tex]\dfrac{d-3}{2}=p[/tex]
So. [tex]p=\dfrac{d-3}{2}[/tex]
ii) Put d= 13 , we get
[tex]p=\dfrac{13-3}{2}=\dfrac{10}{2}=5[/tex]
i.e. he has to attend 5 practices to run 13 miles.
which one is a function
Answers
Answer:
I didn't know if you meant which one is a function, and which one isn't so I just went with what the picture said:
A) is not a function
Answer:
i get D, sorry if not i did it 3 times and i got D
From the figure below, the coordinates for point z are:
HELP PLS
Answers
Answer:
(2a, 0)
Step-by-step explanation:
the distance from (a,0) and z from the origin and to each other is both 3. It’s in the middle of two points, there’s an equal distance between w to y and y to z. I hope that makes sense, so, to get the x coordinate multiply a by 2.
A flagpole is 15 feet tall. Its shadow is 20 feet long. How far is it from the top of the flagpole to the end of the shadow?
Answers
Answer:
5 feet.
Step-by-step explanation:
The angle of the height and length go down to 5 feet diagonally.
Answer:
25ft
Step-by-step explanation:
To find the length of the top of the flagpole to the end of the shadow, you have to use the Pythagorean theorem a² + b² =c²
15² + 20² = x²
225 + 400 = x²
625 = x²
√625 = √x²
x = 25
what number must be added to the expression below to complete the square x^2+8x-5=15
Answers
Answer:
Add 16 to both sides.
General Formulas and Concepts:
Pre-Alg
Equality PropertiesAlgebra I
Completing the Square: b/2aStep-by-step explanation:
Step 1: Define expression
x² + 8x - 5 = 15
Step 2: Solve
Isolate x terms: x² + 8x = 20Complete the Square: (x² + 8x + 16) = 20 + 16Simplify: (x + 4)² = 36Eric conducted a survey of the cars in four parking lots and wrote the following observations:
15 of the 36 cars in lot 1 were blue
43 of the 92 cars in lot 2 were blue
12 of the 30 cars in lot 3 were blue
32 of the 52 cars in lot 4 were blue
Based on the survey, which parking lot had the greatest percentage of blue cars?
Lot 1
Lot 2
Lot 3
Lot 4
Answers
LOT 4 its the answer
A boat was bought for $9500 and sold at a profit of 32%. What was the selling price ?
Answers
I'm giving branliest 2X - 3y = 12 in a standard and point slope form
Answers
In point slope form it is 2/3x-y-4 :)
select all the factors of:
x^2+ 3x - 10
A) (x-5)
B) (x+2)
C) (x-2)
D) (x+5)
Answers
Answer:
c & d
Step-by-step explanation:
Factor x^2 + 3 x − 10 using the AC method
A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets to the museum. Based on this information, how much is an adult ticket, and how much is a child ticket?
2a + 4c = 38.00
3a + 3c = 40.50
What values of a and c represent the solution to the system?
a = ____
c = ______
a 8
c 5.5
Answers
Answer:
Looks like you gave the answer already.
a = 8 and c = 5.5
Step-by-step explanation:
2a + 4c = 38.00 --> x3 --> 6a + 12c = 144
3a + 3c = 40.50 --> x2 --> 6a + 6c = 81
6c = 33
c = 5.5
a = 8
can someone please help me with this problem will give me brainliest.
Answers
Answer: as a decimal 274877906944
Step-by-step explanation:
The breadth and length of a rectangle are in the ratio 4:5 and its area is
32 sqm. What are the length and breadth?
Answers
Answer:
[tex]length=(\sqrt{40} )m,breadth=\frac{4\sqrt{40} }{5} m[/tex]
Step-by-step explanation:
So the ratio 4:5 relates the length and breadthNow the length is always longer that the breadth so 5 represents the length and 4 the breadthA ratio can be written as a fraction so [tex]4:5=\frac{4}{5}[/tex] Let [tex]l[/tex] mean length and [tex]b[/tex] breadth, so the ratio [tex]b:l=4:5,so,b:l=\frac{b}{l}=\frac{4}{5}[/tex] So if [tex]\frac{b}{l}=\frac{4}{5}[/tex] then multiply both sides by [tex]l[/tex] and you get [tex]b=\frac{4}{5} l[/tex] Now the equation for area is [tex]area=length*breadth[/tex] or [tex]A=l*b[/tex]Since our breadth [tex]b[/tex] equals [tex]\frac{4}{5} l[/tex] then we substitute for the breadthSo [tex]A=l*(\frac{4}{5}*l)=\frac{4}{5}*l*l=\frac{4}{5} l^2[/tex] so [tex]A=\frac{4l^{2}}{5}[/tex] We know the Area is [tex]32m^2[/tex] so [tex]32m^2=\frac{4l^{2}}{5}[/tex] so we simplify [tex]5*(32m^2)=5*(\frac{4*l^{2}}{5})\\ 160m^2=4*l^2\\ \frac{160m^{2}}{4}=\frac{4*l^{2}}{4} \\ 40m^2=l^2\\ l^2=40m^2\\ \sqrt{l^{2}} =\sqrt{40m^{2}} \\ l=(\sqrt{40})m[/tex] Now we find the breadth, since [tex]b=\frac{4}{5}*l \\ b=\frac{4}{5}*(\sqrt{40} )m\\ b=\frac{4\sqrt{40} }{5} m[/tex]As an estimation we are told 5 miles is 8 km.
Convert 96 km to miles.
Answers
Answer:
90km is equal 56.25 miles
Answer:
Around 60 miles.
Step-by-step explanation:
First I found that 1 mile was equivalent to around 1.6 km.
8/5=1.6
To find how many miles were equivalent to 96 km I did
96/1.6=60.
60 miles are equivalent to 96 km.
(If you used a km to miles converter it would say exactly 59.6516)
PLEASE HELP
Jennifer walks 9 blocks south and 5 blocks west. Approximately how many blocks is she from
home if she were to take a direct path?
Answers
Answer:
10.3 (Rounded up)
Step-by-step explanation:
Pythagorean's theorem.
a^2 + b^2 = c^2
You're finding c^2, which is the direct path she would take to get back home. 9^2 + 5^2 is 81 + 25 = 106. Square root of 106 is 10.3 rounded up.
What is the value of “y” in y = -3x if the value of ‘x’ is 2?
Answers
Answer:y=-6
Step-by-step explanation:
-3(2)
Which function rule does the graph represent?
Answers
step by step explanation :
Brainlist thingy and 20
Kong took %15, percent fewer seconds than Nolan took to complete his multiplication timed test. Kong took 85 seconds.
How many seconds did Nolan take?
Answers
Answer:
Nolan takes 100s
Step-by-step explanation:
x = x - 15x/100
x = 0.85x
x = 85/0.85
x = 100s
Meteorology A Weather forecaster uses a barometer to measure air pressure and make weather predictions. Suppose a standard mercury barometer reads 29.8 in. The mercury rises 0.02 in. And then false 0.09 in . The mercury falls again 0.18 in. Before rising 0.07 in. What does the word "rise" suggest? What does the word "fall" suggest?
Answers
Answer:
rise : atmospheric pressure increases
fall : atmospheric pressure decreases
Step-by-step explanation:
In the context, it is given that a weather forecaster takes the help of the barometer to check the air pressure and predicts the weather. The column of mercury level in the barometer shows a rise or fall in the glass tube as the weight of the atmosphere falling on the mercury surface changes.
Here it is given that the mercury rises for 0.02 in, then it falls 0.09 in, it then rises by 0.07 in and then again falls by 0.18 in. The word "rise" here shows that the weight of the atmosphere is more. In other words, increase in atmospheric pressure increases the level of mercury in the glass tube and the decrease in or "fall" in the mercury level shows the drop in atmospheric pressure.
Which of the following would result in a rational number? **
Answers
Answer:
The answer is A. A+C because Rational numbers can be made by dividing two integers. integers are whole numbers a number that is not a fraction.
Please help ASAP! Is angle BAD less than, greater than, or equal to 90 degrees? Explain why. What about angle BCD?
Answers
9514 1404 393
Answer:
∠BAD < 90°∠BCD > 90°Step-by-step explanation:
Angle BAD is an inscribed angle, so is half the measure of the arc it intercepts. Chord BD is on the far side of the circle's center from vertex A, so the arc intercepted by angle BAD is less than 180°. This means angle BAD is less than 180°/2 = 90°.
∠BAD < 90°
__
Angles BAD and BCD are supplementary, so if one is less than 90°, the other must be greater than 90°.
∠BCD > 90°
Answer: I would say that it is equal to.
Step-by-step explanation: The angle in the bottom corner of the triangle is a right angle if you measure it with a protractor.
3. Consider the complex numbers z and w below. Find the difference z-
w and the product z.w.
z = (1 – 3i) and w = (-2 + 5i)
Answers
Answer:
see explanation
Step-by-step explanation:
z - w
= 1 - 3i - (- 2 + 5i) ← distribute parenthesis by - 1
= 1 - 3i + 2 - 5i ← collect like terms
= 3 - 8i
------------------------------------------------------------
z × w
= (1 - 3i)(- 2 + 5i) ← expand using FOIL
= - 2 + 5i + 6i - 15i² [ i² = - 1 ]
= - 2 + 11i + 15
= 13 + 11i
Solve the equation.
3(2w−7)=3
Answers
Answer:Simplifying
3(2w + -7) = 3
Reorder the terms:
3(-7 + 2w) = 3
(-7 * 3 + 2w * 3) = 3
(-21 + 6w) = 3
Solving
-21 + 6w = 3
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '21' to each side of the equation.
-21 + 21 + 6w = 3 + 21
Combine like terms: -21 + 21 = 0
0 + 6w = 3 + 21
6w = 3 + 21
Combine like terms: 3 + 21 = 24
6w = 24
Divide each side by '6'.
w = 4
Simplifying
w = 4
Step-by-step explanation:
AnswerAnswerAnswerAnswerAnswerAnswerAnswer
:) ·g o o d l u c k ·
what is z- 4/4 +8 simplified?
Answers
Answer:
aw baby naw that not cool
Step-by-step explanation:
1/9(2m-16)=1/3(3m+4)
Answers
Answer:
m = -4
Step-by-step explanation:
[tex] \frac{1}{9} (2m-16)= \frac{1}{3} (3m+4)[/tex]
[tex] \frac{2}{9} m - \frac{16}{9} = \frac{3}{3} m + \frac{4}{3} [/tex]
[tex] \frac{2}{9} m - m = \frac{4}{3} + \frac{16}{9} [/tex]
[tex] \frac{2}{9} m - \frac{9}{9} m = \frac{12}{9} + \frac{16}{9} [/tex]
[tex] \frac{2m - 9m}{9} = \frac{12 + 16}{ 9} [/tex]
[tex]2m - 9m = 12 + 16[/tex]
[tex] - 7m = 28[/tex]
[tex]m = \frac{28}{ - 7} [/tex]
[tex]m = - 4[/tex]
hye guys i ned help
how do you muiltply dobule digits lik 10x11 help!!!!!!!!!11!
Answers
Answer: 11 x 10 = 110.
Step-by-step explanation: you can use a calculator for these types of problems
Answer:
One way is that you do across multiplication so if you did that for 10x11 that'll equal 110
Step-by-step explanation: