Answer:
P=2200 , K=35
Step-by-step explanation:
The power, P (watts), of a car engine is proportional to the square of its speed, k%28m%2Fs%29; it means if you have two different powers and speeds, you will have a proportion
P%3Ak%5E2=P%5B1%5D%3Ak%5B1%5D%5E2 or
P%2Fk%5E2=P%5B1%5D%2Fk%5B1%5D%5E2
When given:
k=35, P=2200
Work out the power P%5B1%5D (to 1DP) when the speed is k%5B1%5D=40%28m%2Fs%29
so,
P=2200
k=35
k%5B1%5D=40
and you need P%5B1%5D
2200%2F35%5E2=P%5B1%5D%2F40%5E2
2200%2F1225=P%5B1%5D%2F1600
1.79592=P%5B1%5D%2F1600
1.79592%2A1600=P%5B1%5D
P%5B1%5D=2873.5 watts
If the speed is 30 m per second. Then the power of the car engine will be 1160.8 watts.
What is proportion?A proportionate expression is one in which two items are equal.
The power, P (watts), of a car engine is proportional to the square of its speed s (m/s).
P ∝ s²
P = ks²
We have
s = 35
P = 1580
Then the value of k will be
1580 = (35)² × k
k = 1.2897
Then the equation will be
P = 1.2897s²
If the speed is 30 m per second. Then the power of the car engine will be
P = 1.2897 x 30²
P = 1160.8 watts
More about the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
Your teacher is giving you a test that has 30 questions and is worth 200 points. Some questions are worth 5 points and some are worth 10 points. How many of each question are on the test?
Answer:
20 5-point questions and 10 10-point questions
Step-by-step explanation:
Chris spent half of his money on a pair of headphones. Then he spent half of his remaining money on CDs. Finally, he spent his remaining $13.00 on a book.
Answer:
52
Step-by-step explanation:
you just have to take the 13 and work backwards, so double it to get 26 and then double 26 and youll get 52:)
34=16+x helpppppp please due in 30 minutes
Answer:
34-16=18
so x = 18
Step-by-step explanation:
Answer:
x = 18
Step-by-step explanation:
Subtract 16 from both sides to get x by itself. 34 - 16 = 18. 18 = x
what is the area of the house type shape outlined in blue this is a maths test could u please show working if u can answer it bc we must show working plz I could rly use the help
Answer:
[tex]110.5^{2}[/tex]
Step-by-step explanation:
first lets devide this into two like lets make it a rectangle and a triangle. so the area for the rectriangle is 5 x 13 = 65.
then the the area of the triangle is 7 x 13 divide by 2 = 45.5
i got the seven as height is when i substract 5 from 12
so now add both 65 + 45.5 = 110.5
What is the diameter of the circle 18in?
The point (-6,-2) is located in quadrant
Step-by-step explanation:
The point is located in the second quadrant because x is negative and y is positive.
Answer:
Quadrant 3
Step-by-step explanation:
If varies inversely as . It is known that = 10 when = 3, find the value of when = 5.
Answer:
y = 6
Step-by-step explanation:
If x varies inversely proportional as y.
[tex]x=\dfrac{k}{y}[/tex], k is constant of proportionality
or
k = xy
When x = 3 and y = 10
k = 3×10
k = 30
Put x = 5,
[tex]y=\dfrac{k}{x}\\\\y=\dfrac{30}{5}\\\\y=6[/tex]
So, the value of y is 6 when x is 5.
simplify: 5w(1-8h)+12hw+5w+3-w
Answer:
−28hw+9w+3
Step-by-step explanation:
5w(1-8h) = 5w-40wh
+12wh = -28hw
-28hw+5w+5w = -28hw+10w
-w = -28hw+9w
+3 = -28hw+9w+3
Under his cell phone plan, Noah pays a flat cost of $66.50 per month and $4 per gigabyte. He wants to keep his bill under $80 per month. Which inequality can be used to determine gg, the maximum number of gigabytes Noah can use while staying within his budget?
Answer: gg < 3.375
Step-by-step explanation:
From the question, we are informed that Noah pays a flat cost of $66.50 per month and $4 per gigabyte and that he wants to keep his bill under $80 per month.
The inequality that can be used to determine gg, the maximum number of gigabytes Noah can use while staying within his budget will be:
66.50 + 4gg < 80
4gg < 80 - 66.50
4gg < 13.50
gg < 13.50/4
gg < 3.375
Which expression is equivalent to?
A house purchased for $220000 has it's value grow at a constant rate of 4%. Determine the approximate
value of the house 5 years after purchase
Answer:
the answer is 264000.....
Answer:
264,000
Step-by-step explanation:
4% of 220000 is 8800
8800 x 5 = 44000
220000 + 44000 = 264000
If 7x−7y=4 is a true equation, what would be the value of
5(7x−7y)
Answer:
20
Step-by-step explanation:
Since that is a true equation, you can substitute 7x - 7 y for 4 and simplify.
5(7x - 7y)
5(4)
20
1. If you have a McDonalds order where the subtotal comes to
$29.46 and you give a 15% discount coupon, how much will the
new subtotal be?
HURRY
1/12 is the same as 1÷12. What is the exact quotient in decimal form of 1÷12?
Answer: Yes 1/12 is the same as 1 ÷ 12
decimal form is 0.083333333333333333(3 is repeating)
Step-by-step explanation:
Answer:
0.08333333333
Step-by-step explanation: since i helped can i have brainlist please :D
Write the equation of a rational function with a slant asymptote at y=2x+1 and vertical asymptote at x=0
Answer:
Please give me brainliest if i tell you the answer
Step-by-step explanation:
what is a factor for -20?
Answer:
1 ,2,4,5,10,-1,-2,-4,-5,-10,20
Answer:
factors are 2 and 5.
Step-by-step explanation:
Factors are numbers which you can multiply together to get another number. For Example : The numbers 2 and 3 are factors of 6 because 2 x 3 = 6. A number can have many factors! Example : 2 and 4 are factors of 8, because 4 x 2 = 8. Also 1 and 8 can also be factors of 8, because 1 x 8 = 8.
on prime factorization, we get the factors of 20 as,
2 x 2 x 5 = 20.
Essentially, to factor a negative number, find all of its positive factors, then duplicate them and write a negative sign in front of the duplicates. For instance, the positive factors of −3 are 1 and 3.
-2 x 2 x 5 = -20
2 x 2 x -5 = -20
Im so not good at algebra
Answer:
No it is not
Step-by-step explanation:
You can tell if points can form a function if they have the same x value. If any 2 points have the same x value (The first value in the parenthesis before the comma), they cannot be a function.
someone help me with this please
Answer:
Reciprocal
Multiplicative inverse
Additive inverse
i really need help.......
Answer:
it will option B hope it helps
Please help!!
Will mark brainliest
Write the equation of the line that is parallel to y+2=5(x-1) and passes through the point (-1, 0) .
( 50 points )
Answer: y=2x-3
Step-by-step explanation: I looked it up.
x – 3y 32
Does this inequality have a solid or dashed boundary line?
Step-by-step explanation:
It doesn't have neither the greater than or equal to or less than or equal to signs so
PLZ ANSWER QUICK IT WILL HELP A LOT!
Answer:
a
Step-by-step explanation:
HELP PLEASE
Which graph best represents the equation y= 2x
Answer:
The answer is H.
Step-by-step explanation:
There is no "b" in this y = mx + b, so it has to go through zero, eliminating the bottom two. If we insert y = 2(1), the point should be at (1, 2), and if when looking at the possible answers, we can go with letter H.
Plsssss helpppppppppp meeeeeeeeee
Answer:
x = 14, y = 37
Step-by-step explanation:
The angle vertical to (9x + 12 )° and 3x are same- side interior angles and are supplementary, sum to 180°, then
9x + 12 + 3x = 180
12x + 12 = 180 ( subtract 12 from both sides )
12x = 168 ( divide both sides by 12 )
x = 14, so
3x = 3 × 14 = 42
3x and 4y - 10 are adjacent angles and supplementary, then
3x + 4y - 10 = 180
42 + 4y - 10 = 180
4y + 32 = 180 ( subtract 32 from both sides )
4y = 148 ( divide both sides by 4 )
y = 37
Find the distance from E to F
Answer/Step-by-step explanation:
To find the distance of E to F, subtract the distance of DE from the total.
28 - 11 = 17
EF = 17
PLEASE HELP!!!!!!!!!!
Answer:
3
Step-by-step explanation:
The ____ Is the distance around a circle.
area
radius
diameter
circumference
Answer: circumference
Step-by-step explanation:
Answer:
circumference
Step-by-step explanation:
N/A
what is 2^2 pls help me
Answer:
That'd be 4 :)
Step-by-step explanation:
What is the slope of the line?
2/3
i dont know how to explain it all i learned was rise over run (rise/run) just like y/x but its easier to rmrmber