Students performed a stair-climbing experiment to investigate the power output of the human body. Each student climbed the stairs in a sports stadium to different heights while another student used a stopwatch to time the climb. The body mass, time, and vertical height reached by four students is given in the table. (Estimate g as 10 m/s2.)Which two students generated the same amount of power?
Student mass(kg) Time Vertical Height(m)
Hiro 54 10 6.0
Brenda 54 15 9.0
Carmine 68 11 6.0
Brady 68 17 9.0
A. Brady
B. Brenda
C. Carmine
D. Hiro
Answer:
hiro and brenda
Step-by-step explanation:
The diameter of your bicycle wheel is 24 inches. How far will you move in one turn of your wheel?
Answer:
24pi inches, or 75.3982237in
Step-by-step explanation:
circumference is diameter times pi
The table shows the proportional relationship between the number of computers
a company sold, x, and the profit that the company made, y. The profit, y, can be
written in terms of x, the number of computers sold: y = What expression
completes the equation?
Profit on Sales
Number of Computers Sold
Profit (dollars)
3
450
7
1050
11
1650
15
2250
Answer:
y = 150x
Step-by-step explanation:
There is a proportional relationship between number of computers sold (x) and profit generated (y)
y ∝ x
y = kx
Here, k = proportionality constant
From the table given,
At y = 450 and x = 3,
450 = k(3)
k = 150
Therefore, expression that represents the proportional relationship will be,
y = 150x
Is it Surface area or Lateral and then solve it
Answer:
lateral
Step-by-step explanation:
The product of -2 and a number is at most 10.
Find the possible numbers.
A. n ≥ -5
B. n < -5
C. n ≤ -5
D. n > -5
Answer:
a because 5 or less than 5 equals almost or less than 10
James has dimes and quarters saved up in his change jar. He has a total of 162 coins totaling $31.20. James has dimes
The question is incomplete:
James has dimes and quarters saved up in his change jar. He has a total of 162 coins totaling $31.20 what is the total amount james has in quarters?
a. $10.00
b. $6.20
c.$15.50
d.$25.00
Answer:
d.$25.00
Step-by-step explanation:
With the information provided, you can write the following equations given that dimes are equal to 0.10 and quarters to 0.25 to determine the number of dimes and quarters that James has:
x+y=162 (1)
0.10x+0.25y=31.20 (2), where:
x is the number of dimes
y is the number of quarters
First, you can solve for x in (1):
x=162-y (3)
Then, you have to replace (3) in (2) and solve for y:
0.10(162-y)+0.25y=31.20
16.2-0.10y+0.25y=31.20
0.15y=31.20-16.2
0.15y=15
y=15/0.15
y=100
Finally, you have to replace the value of y in (3) to find x:
x=162-100
x=62
Now, you know that James has 100 quarters and you can multiply this number for the value of a quarter to find the amount James has in quarters:
100*0.25=25
According to this, the answer is that James has $25 in quarters.
PLEASE HELPP I WILL MARK YOU GOOD
Answer:
Volume: 41.643
Surface area: 119.04 (nearest tenth... I don't know...sorry)
Step-by-step explanation:
I didn't know if you need volume or surface area so you got both!
Help 6.5.AP-23 There were 675 people in line for a rock concert. Only 486 people got into the concert. Select the percent of people in line that did NOT get into the concert. Select the percent of people in line that did NOT get into the concert. O A. 75% OB. 30% OC. 72% OD. 28%
Answer:
D. 28%
Step-by-step explanation:
675 people - 486 people that got in = 189 people left out
189 people out of 675 people = 189 / 675 = 0.28 or 28%
Plzz I asked this three times! The Functions r and s are defined as follows.
r(x)=-2x+2
s(x)=x^2+2
Find the value of s(r(2)).
Answer:
s(r(2)) = 6
Step-by-step explanation:
You would first solve for r(2). You then input r(2) which equals -2 into s(r(2)).
r(x)= -2x + 2
r(2)= -2(2) + 2
r(2)= -4 +2
r(2)= -2
s(x)=x² + 2
s(r(2)) = (-2)² +2
s(r(2)) = 6
In AABC, what is AB to the nearest tenth?
Answer:
AB = 9.5 units
Step-by-step explanation:
Here, we want to find the measure of AB
To do this, we are going to make use of the sine rule
for the sine rule, the ratio of the measure of a side and the sine of the angle that faces the side is a constant value for a triangle
Thus, we have it that; in a triangle ABC
a/sin A = b/sin B = c/sin C
using the triangle given;
we need the measure of the angle at C
The sum of angles in a triangle is 180
thus;
C + 93 + 48 = 180
C = 180 - 93 -48
C = 39 degrees
Now, to get the value of AB;
AB/sin 39 = 15/sin 93
AB = (15 * sin 39)/sin 93
AB = 9.5 units
a page of a calendar is 45 cm long and 26 cm wide. what is its area?
Answer: veasy
Step-by-step explanation: it is a rectangle then it's area will be length *breadth =45cm*26=1170cm^2.
Answer:
1170 or 0.117 m^2
Step-by-step explanation:
Write and solve an equation to find the value of x and a missing angle in the triangle below.
Answer:
x = 27°, ∠JLK = 55°
Step-by-step explanation:
From the diagram in the question above,
The exterior angle of a triangle is equal to the sum of the two opposite side
3x+13 = 39+(2x+1)
3x+13 = 40+2x
collect like terms and solve for x
3x-2x = 40-13
x = 27°.
∠JKL = 2x+1
Substitute the value of x
∠JKL = 2(27)+1
∠JKL = 54+1
∠JKL = 55°
Can anyone help me with this math equation?
Answer:
yes I can help you. the answer to the problem is 4/35.
Step-by-step explanation:
1. convert any mixed number into fractions.
your equation becomes 4/7÷5/1. this equals 4×1 over 7×5. multiply normally and your result is 4/35
Can someone help me on this question I kinda forgot how to find slope lol
Answer:
D
Step-by-step explanation:
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
20
20
Answer:
11/100 as a fraction
.11 as a decimal
step-by-step explanation:
Fourteen percent of the town's population is over the age of 65. If there are 320
residents over the age of 65, approximately what is the town's population?
Answer:
2,285.7143
Step-by-step explanation:
There are two ways of doing this.
#1: Take 320, and divide it by the 14%. This should get you how many people are eqivlelent to 1 percent. When I did it out, 320/14 is equal 22.857143...
Remember this is 1%, and we need to find 100%. So we need to multiply the 1%, which was 22.857143, by 100.
This should get you 2,285.7143.
#2 Take your 100%, and divide it by the 14% that make up the 65+ population. This should get you 7.1428571.
Now you just have to multiply this number by the amount of 65+ residents, which is 320. So you should multiply 320x7.1428571.
This should get you the same exact answer, 2,285.7143
Answer:
2,285.7143
PLEASE HELP! NO LINKS!!
Answer:
69 slices
Step-by-step explanation:
3 5/6 = 3 15/18 = 69/18
if each slice is 1/18, then 69 slices
Explain how to use the standard normal table to find the probability associated with the shaded area under the curve
Answer:
to find the area to the right positive z-score begin by reading off the area in the standard mormal distribution table, since the total area under the bell curve is 1 we subtract the area from the table from 1. for example the area to the left of z=1.02 is given in the table as 0.846
Step-by-step explanation:
right answer
When a bakery opened this morning, the ratio of the number of pineapple muffins to the number of mango muffins was 3 : 2. After 244 pineapple muffins were sold, the ratio of the number of pineapple muffins to the number of mango muffins changed to 3 : 5. How many pineapple muffins were there when the bakery opened this morning?
Answer:
(x+244)/y=3/2
x/y=3/5
y=5x/3
(x+244)/(x5/3)=3/2
x+244=3/2 . 5x/3
x+244=15x/6
6(x+244)=15x
6x+1464=15x
1464=15x-6x
1464=9x
x=1464/9
x≈ 162
mm=162*5/3=270
162:270 = 3:5
pm before = 270*3/2=405
405:270 = 3:2
HELPP MEE ASAPPP PLSSS What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash (/) as the fraction bar. Do not enter
your answer as a decimal number or an equation.
(3,7) (-2,-3) MUST BE A FRACTION
Answer:
2/1
Step-by-step explanation:
Use the equation m=[tex]\frac{y2-y1}{x2-x1}[/tex]
Find the perimeter of the figure to the nearest hundredth.
Simplify fully4xy/12x2y
Answer:
1/3x
Step-by-step explanation:
for 4xy/12x^2y we need to simply one of the x's and the y's and divide both parts by 4
so we get:
1/3x
how many different teams of 11 players can be chosen from a soccer team of 15?
Answer:
1,365
Step-by-step explanation:
Answer:
There can be 1365 different ways of choosing 11 players from a squad of 15. This means there can be 1365 eleven-member teams formed with 15 players.
If 5x+10y=−3 is a true equation, what would be the value of 5x+10y+7?
Answer:
4
Step-by-step explanation:
5x + 10y = − 3.... (given)
Adding 7 on both sides,
5x + 10y + 7 = - 3 + 7
5x + 10y + 7 = 4
30 points!!! Find the area of each. Round to the nearest tenth. Do not include units in
your answer (ie. ft, in, km, etc)(triangle-FR) *
Answer:
Area of triangle = 8.9
Area of parallelogram = 53.4 yd² (option A)
Step-by-step explanation:
✔️Area of the triangle = ½*base*height
base = 3 m
height = 5.9 m
Area of triangle = ½*3*5.9
Area of triangle = 8.85 ≈ 8.9 (nearest tenth)
✔️Area of parallelogram = base*height
base = 8.9 yd
height = 6 yd
Area of parallelogram = 8.9*6 = 53.4 yd²
For every 1 litre of water used to make a medicine, 300 ml of sucrose and 750ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form.
Answer:
20ml : 6ml: 15ml
Step-by-step explanation:
1000 milliters is 1 liter, so we would have to convert it to the ml so that it will all be in proportion. To simplify a ratio, divide by a number they can all be divided by. In this case, it was 10 first, so it made it 100: 30: 75. Then, to simplify it more, they can all be divided by 5, which is the lowest it can be since 20: 6: 15 have no numbers in common to be divided by.
pre-calc
please help
Answer and Step-by-step explanation:
First, get theta by itself.
θ = [tex]sin^{-1}(\frac{\sqrt{3} }{2} )[/tex]
Plug this into a calculator.
θ = 60°
To get it in radians, multiply 60 by [tex]\frac{\pi }{180}[/tex].
θ = [tex]\frac{1}{3} \pi[/tex] radians
#teamtrees #PAW (Plant And Water)
Find the area for this problem
Answer:
63 for the whole figure, for the different shaded regions it goes as follows, 17.5 for the white area and 45.5 for the grey area
Step-by-step explanation:
You won the lottery!! You decide to first buy the expensive car you've always loved. There are lots of options. In addition to deciding whether you want an automatic or manual transmission, you have to choose an exterior color from 15 options, an interior color from 12 options, seats that have either a heating or massage option, 4 different types of audio systems, and 5 luxury packages with special extras for your car. If you pick one in each category, how many different car packages are there?
Probability of impossible event is ………… [. ]
a) 0 b) 100% c) 1 d) both b & C
Answer:
0
Step-by-step explanation: