Given:
An athlete who makes [tex]4\dfrac{3}{4}[/tex] laps in 3 mins 45 seconds on a 400m field.
To find:
The speed of the athlete in m/s.
Solution:
We know that,
Distance covered in 1 lap = 400 m
Distance covered in [tex]4\dfrac{3}{4}[/tex] laps = [tex]4\dfrac{3}{4}\times 400[/tex] m
= [tex]\dfrac{19}{4}\times 400[/tex] m
= [tex]1900[/tex] m
We know that,
1 minute = 60 seconds
3 minutes = 180 seconds
3 minutes 45 second = 180 + 45 seconds
= 225 second
The speed of the athlete is:
[tex]Speed=\dfrac{Distance}{Time}[/tex]
[tex]Speed=\dfrac{1900}{225}[/tex]
[tex]Speed\approx 8.44[/tex]
Therefore, the speed of the athlete is about 8.44 m/s.
Need help with this question
Answer:
Function A rate = 5/1
Function B rate = -4.5
Function A because its rate is positive while Function B's rate is negative
i need help the test is time and i have 5 min left can y'all pls help pls
Answer:
divide the figure into two parts.
area of square = side²
area of square =12²
area of square =144
area pf trapezium =1/2×(a+b)×h
area of trapezium =1/2×(12+6)×12
area of trapezium =108
area of polygon=144+108=252 unit²
Identify the values of A, B, and C
5x2 + x - 18 = - 9x + 3x2
A=2, B=10, C=-18
A=2, B=9, C=-18
A=5, B=1, C=-18
A=8, B=-8, C=-18
Answer:
A=2, B=10, C=-18
The answer is the first one.
Step-by-step explanation:
[tex]5x^{2} -3x^{2} +x+9x-18=0[/tex]
[tex]2x^{2} +10x-18=0[/tex]
Formula: [tex]f(x)=ax^{2} +bx+c[/tex]
Which expression has a solution of 6, if r = 4?
1. r + 2
2. 4 - r
3. 10 + r
4. r - 10
Answer:
1.
Step-by-step explanation:
1. 4 + 2 = 6
2. 4 - 4 = 0
3. 10 + 4 = 14
4. 4 - 10 = -6
number 1 is the right answer
Answer:
1.
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRANLIEST
Sarah is self-publishing her 300-page novel and wants to estimate the printing costs.
Answer the questions to estimate the cost of printing a 300-page paperback book.
1. What is the y-intercept for the trend line? What is the real-world meaning of this point?
2. One point on the trend line is (200, 6). Using this point and the y-intercept, find the slope of the trend line. Show your work.
3. What is the real-world meaning.of the slope?
4. Use the slope and y-intercept to write an equation for the trend line in slope-intercept form.
5. Use your equation to estimate the cost of printing Sarah's 300-page book.
1. Y-intercept b=5
That means it has a 5.00 starting fee.
2. Using the formula (Y2-Y1)/(X2-X1) we will find the slope between the two points.
Point one (X1 and Y1) will be the Y-intercept.
X1,Y1 = (0, 5.00)
Point 2 (X2 and Y2) will be the point on the trend line.
X2, Y2 = (200, 6.00)
Plug in:
(6.00 - 5.00)/(200 - 0) = 00.5 or 1/200.
3. When printing 200 pages each page will cost $.005.
4. .005x+5
5. .005x+5
.005(300)+5=6.5
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Someone help me please need ASAP
Answer:
x = 1/2
Step-by-step explanation:
all of its sides are equal;
4x - 6 = 2x - 5
2x = 1 , x = 1/2
7th grade math help me pleaseee
Answer:
A. 6.25x + 7.50 = 26.25
Step-by-step explanation:
Clara paid 7.50 for an admission ticket, each round was 6.25 and she did it for x rounds. 6.25x is the same thing as 6.25 times x rounds.
Answer:
whered all the time go? :(
Step-by-step explanation:
THIS WILL HELP A LOT OF PPL PLZ HLP!!!!!!
Determine the interval where the graph of the function is negative.
ANSWER CHOICES AND GRAPH IN IMAGES
Answer:
If I'm correct I think its answer B
Step-by-step explanation:
I'm not sure but i hope this help
Answer:
second option
-∞ < x < 1
Step-by-step explanation:
Determine the projection of u=1.6i+3.3j in the v=-2.1-.5j direction.
A.8i+.2j
B.2.3i+.5j
C. -.6i-1.3j
D. -1.2i-1.1j
Answer:
[tex]0.80i +0.2j[/tex]
Step-by-step explanation:
The projection of u on v is expressed as;
[tex]proj_{v} u = \dfrac{u*v}{|v|^2} * v[/tex]
Given
u=1.6i+3.3j
v=-2.1i-.5j
u*v = (1.6i+3.3j )*(-2.1i-0.5j )
u*v = 1.6i(-2.1i) + 3.3j(-0.5j)
u*v = -3.36 - 1.65
u*v = -5.01
|v|² = (√(-2.1)²+(-0.5)²)²
|v|² = (-2.1)²+(-0.5)²
|v|² = 4.41+0.25
|v|² = 4.66
Substitute into the formula;
[tex]= \frac{1.71}{-5.01} * (-2.1i - 0.5j)\\= -0.3413 (-2.1i - 0.5j)\\= 0.8i + 0.17j\\= 0.80i +0.2j[/tex]
A polygon has vertices at (-1,1), (1,1), (1,-1) & (-1,-1) what is the perimeter in units of the polygon
Answer:
8
Step-by-step explanation:
if ur lucky u get 25 points!
Answer:
What do you mean lucky?
Answer:
Yes
Step-by-step explanation:
PLEASEEE EEEEENSDNN’SJSJ I STG PLEASE HELP ME
Rhombuses and parallelograms are always quadrilaterals, having four sides.
However, they both don't always have equal side lengths, although sometimes they do.
I hope this helps ^^
hi hottie, pls help me !
Mrs. St. Louis purchased an iPhone 12 Pro. The decreasing value of her phone, after t years, is modeled by the function V(t)=1,200(0.65)^t
Fill in the numbers from the options to correctly complete the statements interpreting this function.
The phone initially cost $______
The value of the phone is depreciating at a rate of _____ % each year.
Answer:
1200
0.65
The answers are in the function
The price of calculator is increased from R150 to R174.What is the percentage increased
Answer:
16%
Step-by-step explanation:
(174-150)/150= 0.16
0.16*100 = 16%
Some chocolate bars are scored (split apart) into equal parts to make them easy to break apart and share. Simon wants to share five chocolate bars equally among four people. The chocolate bars are scored in four equal parts. How should Simon share all the chocolate bars so four people each have an equal share? Show all your mathematical thinking.
Answer:
If every bar is scored into 4 parts, then Simon has 5*4 parts in total = 20 parts.
To split them between 4 people, each person gets 20/4 parts - 5 parts in total. The way to realize this the easiest would be to give each person a single bar, and then split the last bar into 4 parts and give each person one of them.
A family drinks 2 gallons of milk in 3 days,
At that rate, how many gallons will the family
drink in 15 days?
Answer: This is what I have tried --
5 gallons : 3 weeks = x gallons : 52 weeks
5/3 = x/52 (cross multiply)
3x = 260 (divide by 3)
x = 86.6 or 87 gallons
Step-by-step explanation: hope this is right
Answer:
10 gallons of milk
Step-by-step explanation:
This question is a ration every three days the family drinks 2 gallons of milk (3:2) to find how much they would drink in 15 days all you would have to do is multiple both numbers by 5 to get 15:10. This represents how much milk they drink in 15 days.
During a professional baseball game, every
spectator placed his or her ticket stub into one of
several containers. After the game, the coach
chose twenty people to march in the victory
parade. What is the sample in this situation?
Answer:
20 people chosen to March
Step-by-step explanation:
The sample can be explained as a random subset of the population. It is a given number of draws or selection made usually at Random from the entire or larger population set. The sample is usually smaller Than the population and if done randomly will be representative of the population set. The entire spectator attending the baseball game is the population of interest while the 20 selected from the entire pool to March in the victory parade is the sample data obtained from the population set.
6v=-9 v= what does v =
Answer:
v = -3/2
Step-by-step explanation:
6v = -9
v = -9/6
v = -3/2
Evaluate the expression: 2y-9 when y = 3
Answer:
-3
Step-by-step explanation:
2·3-9
6-9 = -3
PLEASEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPP
Based on the figures below, are they similar?
Answer:
N/A
Step-by-step explanation:
No figures below.
I don’t understand this
Answer:
It is plugging it the 36pye
Step-by-step explanation:
h = 36pye
what it wants you to do is plug that into all the numbers
so it be
2 x 36pye (you get it for the next one)
for the fraction ones it would
be divding 36pye by the number on the bottom
The graph shown is a scatter plot:
A scatter plot is shown with the values on the x-axis in increasing units of 1 and the y-axis in increasing units of 10. The data moves in an upward cluster. Point A has coordinates 8 and 70. Point B has coordinates 1 and 20, point C has coordinates 3 and 40, point D has coordinates 7 and 30. Additional points are located at 2 and 10, 2 and 20, 3 and 30, 5 and 50, 5 and 40, 7 and 70, 7 and 60.
Which point on the scatter plot is an outlier? (4 points)
Group of answer choices
Point D
Point B
Point C
Point A
Answer:
D
Step-by-step explanation:
if we see on the graph, the point which is scattered is point D !
also took the FLVS test!!
HELP PLEASE 50 POINTS
expression with its simplified form.
The lateral surface area of a triangular prism is 182 in. The height is 14 in. What is the perimeter of the prism?
Answer:
13 in
Step-by-step explanation:
Let s be the length of a side of the triangle
then one rectangular face of the triangular prism
would be s x 14.
There are 3 rectangular faces in the triangular prism so
Lateral Surface Area = 3 x (s x 14)
182 = 42s
182/42 = s
There are 3 sides to the triangle so
3 x (182/42) = 13
For 2 + 5(x-3) > 3x + 11, the answer is x>
Answer:
x >12
Step-by-step explanation:
2 + 5(x-3) > 3x + 11
Distribute
2 + 5x - 15 > 3x+11
Combine like terms
5x -13 > 3x+11
Subtract 3x from each side
5x-13-3x> 3x+11-3x
2x-13 > 11
Add 13 to each side
3x-13+13> 11+13
2x> 24
Divide by 2
2x/2 > 24/2
x >12
(3)(0.2)+9 help please
Answer:
9.6
Step-by-step explanation:
Answer:
[tex]9.6[/tex]
Step-by-step explanation:
1) Simplify 3 × 0.2 to 0.6.
[tex]0.6 + 9[/tex]
2) Simplify.
[tex]9.6[/tex]
Hence, the answer is 9.6
how tall is the building in the picture shown
Answer: just figure out how many 8s are in 36 then multiply that by 66 :):)
Step-by-step explanation:
Please help! I don't know where to start
Answer:
First find the sum of 15 n-1
Step-by-step explanation:
then you can continue to 2n-1
HELP ASAPPPPP WHAT IS THE ANSWER
Answer:
point j is .55 because its .55
Step-by-step explanation: