The speed when the power is 2000watts is 22.5m/s
Subject of formulaIf the power, P (watts), of a car engine is proportional to the square of its
speed, s(m/s), this is expressed as:
P = k/s
When s=25, P=1800 then;
1800 = k/25
k = 25 * 1800
k = 4500
In order to calculate the speed when the power is 2000;
s = k/p
s= 4500/2000
s = 22.5m/s
Hence the speed when the power is 2000watts is 22.5 m/s
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PLEASSEEEE HELP ASAP , WHAT IS THE SHAPE OF THE BASE AND SURFACE AREA?
Answer:
Total surface area : 733
The shape of the base is a rectangle with sides 11 in. and 12 in.
Step-by-step explanation:
The shape of the base is a rectangle with sides 11 in. and 12 in.
The surface area is the sum of the areas of the 5 sides.
Area of the base = 11*12 = 132
Area of the two triangles = (11*16)/2 = 88
Area of the back rectangle = 192
The theorem of Pitagora to find the oblique side: square root of (11*11 + 16*16)= 19.42 in.
So the area of the oblique face: 19.42* 12 = 233 (almost :) )
So total surface area: 132 + 88*2+192+233= 733 square in
The five number summary of a dataset was found to be:
45, 52, 56, 61, 69
Step-by-step explanation:
Given the five summary of a data set:
45 - min
52 - Q1
56 - Median
61 - Q3
69- Max
Thus, any number less than Q1-(1.5×IQR)
, or any number that is greater than
Q3+ (1.5 × IQR) would be considered an outlier.
The IQR of the data set = Q3 - Q1 = 61-
52 = 9
Thus,
Q1- (1.5 × IQR) =52- (1.5* 9) = 52 - 13.5=38.5
Therefore, an observation is considered
an outlier if it is below: 38.5
Q3 + (1.5 * 1QR) = 61 + (1.5 * 9) =61+13.5 =74.5
Therefore, an observation is considered
an outlier if it is above: 74.5
What is the unit rate of 400 miles in 8 hours?
Can someone please help me with this
Answer:
x=12
Step-by-step explanation:
Every triangle has interior degrees that all together add up to 180. We already know we have 50 degrees and 75 degrees, so we can subtract that to see how much we have left to work with. If we do that, we get 55 degrees left. Now, we have to set up a two step equation to find x:
5x-5=55
The first thing to do is to add 5 to both sides to get rid of -5:
5x-5=55
+5 +5
__ __
0 60
So now, it's 5x=60
Now, we have to isolate x. To do this, we have to divide both sides by 5. If you do this, you get:
x=12
Hope this helped!
Answer: b) x = 12
Step-by-step explanation:
The sum of a triangle's angles add up to 180°. We will add together all the angles, set them equal to 180°, and then solve.
Given:
(50°) + (75°) + (5x - 5°) = 180°
Combine similar terms:
120° + 5x = 180°
Subtract 120° from both sides of the equation:
5x = 60°
Divide both sides of the equation by 5:
x = 12
Your answer is;
b) x = 12
HELP PLEASE ITS DUE TOMMOROW
Answer:
Hope the picture will help you...............
7. If y varies jointly with x and z, and y = 24
when x = 4 and z = 3, what is the value of y
when x = 12 and z = 4?
=
Answer:
Step-by-step explanation:
Using formula y=kxz
so,
24=k*4*3
k=2
so if we put x=12 and z=4,
y=2*12*4
y=48
Which expression is equivalent to (2q - 8) - (2q - 7)
The equivalent expression is -1
The points P(6,-3), Q(-2,3), R(-5, -1), and S(3,-7) form quadrilateral PQRS. what type of quadrilateral is it?
what is the mean of 10,16,14,12and 16?show the solution pls...
Answer:
13.6Step-by-step explanation:
what is the mean of 10,16,14,12and 16?
Find the sum of the values by adding them all up.
Divide the sum by the number of values in the data set.
10 + 16 + 14 + 12 + 16 = 68
68 : 5 = 13.6
or
(10 + 16 + 14 + 12 + 16) : 5 = 13.6
Every day, Jason runs for 35 minutes and lifts weights for 49 minutes. How many minutes will Jason spend working out in 8 days?
A. 280
B. 672
C. 92
D. 392
Answer:
B. 672
Step-by-step explanation:
First, Add. 35 + 49 = 84
Multiply. 84(minutes) x 8(days)
= 672
Bonus! ^^ 672 minutes = 11.2 hours
a family has three children child a child be and child C child a is younger than child see child be is not older than child a from youngest to oldest how are the children ordered by age
Answer:
I'd say the order from youngest to oldest, would be B A C.
Step-by-step explanation:
My reason is that, A is younger than C or in other words C is older than A. Also B is NOT older than A, so therefore B must be younger than A.
So from youngest to oldest, B is younger than A, A is younger than C, and that means C is the absolute oldest out of the three children.
Hope this helps you :)
Sorry if it didn't though.
What is the solution to the equation below?
Answer:
X=4
Step-by-step explanation:
The solution is in the file
Volume of 15 ft 13ft and 8ft
Answer: 1560
Step-by-step explanation:
15 x 13 = 195 and 195 x 8 = 1560
A car leaves Town A for Town B, which are 550 km apart, at an average speed of
72 km/h. At the same time, a truck leaves Town B for Town A and travels along
the same road as the car at an average speed of 38 km/h. Find the time taken for the
two vehicles to meet.
Answer:
It will take 4 hours for the two vehicles to meet
Step-by-step explanation:
n physics, we can find the amount of force needed to push or pull an object by multiplying the object’s mass by the object’s acceleration. The units of force are called Newtons.
force = mass × acceleration
F = ma
Find the amount of force it takes to push Jeff’s race car if the mass of the race car is 750 kg and the acceleration is 2.5 StartFraction m Over s squared EndFraction
The amount of force needed to push Jeff’s race car is
Newtons.
The amount of force it takes to push Jeff’s race car will be 1875 Newtons.
What is force?Force is explained as the multiplication of mass and acceleration. Its unit is N. It is the external agent which helps to change the shape and size of an object.
The formula of force will be
F = ma
Where m is the mass of the body and a is the acceleration of the body.
Then the amount of force it takes to push Jeff’s race car if the mass of the race car is 750 kg and the acceleration is 2.5 meters per square second.
Then we have
F = 750 x 2.5
F = 1875 Newton
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Complete the statement.
The polynomial function f(x) =_____.
(x + 2)(x - 2)(x + 13)
(x + 2)(x + 3)(x - V3)
(x - 2)(x + 13)(x - 13)
(x + 2)(x - 2)(x + 13)(x - 13)
(x - 2)+ √3
Answer:
b
Step-by-step explanation:
Because i know
What is 6 + pi + 7 to the 6th power. ( 6 + 3.14 + 7 + 7^6)
Hey there!
(6 + 3.14 + 7 + 7^6)
= 6 + 3.14 + 7 + 7^6
= 9.14 + 7 + 7^6
= 16.14 + 7 * 7 * 7 * 7 * 7 * 7
= 16.14 + 49 * 49 * 49
= 16.14 + 2,401 * 49
= 16.14 + 117,649
= 117,665.14
Therefore, the answer should be:
117,665.14
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
When observing a performance or movement pattern, you should break down the complex skills into which of the following:
A. Stylistic parts
B. none of these
C. Component parts
D. Tactical parts
You should break down complex skills into component parts when learning a complex performance or movement pattern.
What does it mean to learn complex skills?
Complex skills could be made up of several components. This makes it difficult to engage in these kind of activities without first undergoing extensive training.
As a result, you should break down complex skills into component elements when learning a complex performance or movement pattern.
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Need help on telling which ones are similar and not similar please and thank you!
A and B are Similar
B and C are not Similar
A and C are not Similar
--
Square A and B use numbers in the tens whilst square C used 72 not tens and because A and B you add 20 to both sides and then they are equal.
Which polynomial represents twice the sum of -5x^2-x+6 and 7x^2+x-1?
1) 2x^2+5
2) 4x^2+10
3) 4x^2+5
4) 2x^2 + 10
The polynomial that represent twice the sum of [tex]-5x^{2}[/tex] - x +6 and 7[tex]x^{2}[/tex] + x -1 is : 4[tex]x^{2}[/tex]+10
What is a polynomial?
A polynomial is any algebraic expression that has the least value of the power of its variable as 2.
When the highest value of the polynomial is 2, it is a called a quadratic expression.
Analysis:
2( -5[tex]x^{2}[/tex] -x +6 + 7[tex]x^{2}[/tex] +x -1)
2( 2[tex]x^{2}[/tex] + 5) =
4[tex]x^{2}[/tex] + 10
In conclusion, the polynomial that represents the above expressions is 4[tex]x^{2}[/tex] + 10
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Terry buys 8 comic books and
3 computer games for $76. Annie
buys 1 comic book and 3 computer
games for $41. Write the system
of equations that describes this
situation and solve it to find the
cost of one comic book and one
computer game.
Answer:
5 per comic book and 12 per computer game hope this helps.
Answer:
Step-by-step explanation:
8x + 3y = 76
x + 3y = 41
8x + 3y = 76
-x - 3y = -41
7x = 35
x = $5 comic book
3y + 5 = 41
3y = 36
y = $12 computer game
Can someone answer theese 3 questions.
Answer:
1.) A
2.) D
3.) A
Step-by-step explanation:
on Math 5/4-Homeschool
(Inv. 4)
3. Angela ran 100 meters in twelve and fourteen hundredths
seconds. Use digits to write her time for 100 meters. . I NEED HELP
Rewrite the following expression with no exponent.
Answer:
49/9
Step-by-step explanation:
[tex](3/7)^-2=((37)^2)^-1=(3^2/7^22)^-1=(9/49)^-1=49/9[/tex]
I hope this helps!
Sort these in either Combination or Permutation PLEASE HELP!!!! 100 POINTS
If order matters then that's permutation else that's combination
So
Here the answers are
#1
Teams cannot be repeated
Permutation#2
Teachers also can't be repeated
Permutation#3
Can't repeat
Permutation#4
Already mentioned
Permutation#5
Repeating allowed
Combination#6
Can be repeated
Combination#7
Can't be repeated
Permutation#8
Can be repeated
Combination#9
CombinationThe point {1, 2} is reflected over the x-axis. Where is the location of the new
image?
A (-1, -2)
B(1.-2)
C(-1,-2)
D (-1,2)
E(2, -1)
2. There are 42 persons in a mathematics class, and everyone of them drinks either coffee or grape milk at
breakfast. If eighteen persons drink grape milk and ten persons drink both grape milk and coffee, how
many persons drink grape milk only, and how many drink coffee only? Draw a Venn diagram to support
your answers.
Answer:
1. 8
2. 24
Step-by-step explanation:
The number of persons that drink grape milk only :
18 - 10 = 8
The number of persons that drink coffee :
42 - 8 = 34
The number of persons that drink coffee only :
34 - 10 = 24
This season, the probability that the Yankees will win a game is 0.61 and the
probability that the Yankees will score 5 or more runs in a game is 0.56. The
probability that the Yankees win and score 5 or more runs is 0.44. What is the
probability that the Yankees will lose when they score fewer than 5 runs? Round your
answer to the nearest thousandth.
The probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.
ProbabilityGiven that this season, the probability that the Yankees will win a game is 0.61 and the probability that the Yankees will score 5 or more runs in a game is 0.56, and the probability that the Yankees win and score 5 or more runs is 0.44, to determine what is the probability that the Yankees will lose when they score fewer than 5 runs the following calculation must be made:
1 - 0.61 = 0.391 - 0.56 = 0.440.39 x 0.44 = X0.1716 = XTherefore, the probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.
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Answer: The probability that the Yankees will lose when they score fewer than 5 runs is 17.16%
Step-by-step explanation:
Assume that the salaries of computer programmers are normally distributed, with a mean of $66,000 and a standard deviation of $14,000.
If four programmers are selected at random, find the probability that they have a mean salary between $40,000 and $50,000.
a) 0.52
b) 0.09
c) 0.26
d) 0.01
The probability that they have a mean salary between $40,000 and $50,000 is 0.01.
What is Z- score test?A z-test is a statistical test to determine whether two population means are different when the variances are known and the sample size is large.
The z-score for 40,000 is
= (40,000 - 66000) / (14,000 / √4)
= -26000/7000
= -3.714, P- value is 0.000102
The z-score for 50,000
= (50,000 - 66,000) / (14,000 / √4)
=-2.285, P- value is 0.0111564
P(40,000 < x < 50,000) = P( -3.714< z < -2.285)
So,
= P(50,000)-P(40,000)
= 0.0111564-0.000102
=0.011
Hence, the probability that they have a mean salary between $40,000 and $50,000 is 0.01.
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if x/5 + 6 = -14, then x =
Answer:
The answer is (-100).
Step-by-step explanation:
Given;x/5 + 6 = -14To Find;The value of xNow,
x/5 + 6 = -14
Cross multiplication
x + 5 × 6 ÷ 5 = -14
x + 30/5 = -14
Multiply 5 both sides we get,
x + 30/5 × 5 = -14 × 5
x + 30 = -70
x + 30 – 30 = -70 – 30
x = -100
Thus, The value of x is (-100).
Answer:
[tex]\huge\boxed{\sf x = -100}[/tex]
Step-by-step explanation:
Given Equation:
x/5 + 6 = -14
Subtract 6 to both sides
x/5 = -14 - 6
x/5 = -20
Multiply 5 to both sides
x = -20 × 5
x = -100
[tex]\rule[225]{225}{2}[/tex]