PLEASE HELP ASAP 20 POINTS WILL GIVE BRAINLIEST
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Wind farms are a source of renewable energy found around the world. The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v (in meters per second). If a turbine generates 500 kW in a 10 m/s wind, how much power does it generate in a 12 m/s
wind?
Answer: P = 0.5 *(12)^3 = 864 kW
Step-by-step explanation:
We calculate the power as follows:
P=C*v^3,
where C = constant and v is the velocity,
lets find the C first, from the given conditions
P = C*v^3
500= C(10)^3
C=500/(10)^3 = 0.5
If a turbine generates 500 kW in a 10 m/s wind, then 864 KW power does it generate in a 12 m/s wind
What is Power?Power is the amount of energy transferred or converted per unit time.
Given,
The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v
P = kv³
Where k is the proportionality constant.
If a turbine generates 500kW in a 10m/s wind, we need to find how much power does it generate in 12m/s wind
first solve the proportionality constant k
500 = k (10³)
k = 500 / 10³= 0.5
so when v = 12 m/s
P = 0.5(12³)
p = 864 kW
Hence 864 kW is the power generated by a 12 m/s wind.
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4v + 4(v + 10) = -2v - 20
Which number best represents the slope of the graphed line?
Answer:
-1/3
Step-by-step explanation:
because i aint never seen two pretty best friends, its always one of em gotta be ugly
In each table, y and x are in a proportional relationship.
Select the table with a constant of proportionality of –3.
A. 'x' is 1 2 3. 'y' is -3,-6,-9
B. 'x' is 1, 2, 3. 'y' is -1, -2, 0
C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
The table with a constant of proportionality of –3 are
A. 'x' is 1 2 3. 'y' is -3,-6,-9
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
y = k × x
where,
k = constant of proportionality
A. 'x' is 1 2 3. 'y' is -3,-6,-9
y = k × x
-3 = k × 1
- 3 = k
k = -3
B. 'x' is 1, 2, 3. 'y' is -1, -2, 0
y = k × x
-1 = k × 1
-1 = k
k = -1
C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
y = k × x
-3 = k × 1
-3 = k
k = -3
D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
y = k × x
-3 = k × 1
-3 = k
k = -3
or
y = k × x
-3/2 = k × 2
-3/ 2 = 2k
k = -3/2 ÷ 2
k = -3/2 × 1/2
k = -3
Therefore, the table with a constant of proportionality of –3 are
A. 'x' is 1 2 3. 'y' is -3,-6,-9
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
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Of the 25 fish that Karl caught
from the lake, 7 were trout. The
estimated population of the lake is
6,500 fish. About how many trout
would
you expect to be in the lake?
Answer:
1,820 trout
Step-by-step explanation:
Set up a proportion where x is the number of trout in the lake:
[tex]\frac{7}{25}[/tex] = [tex]\frac{x}{6,500}[/tex]
Cross multiply and solve for x:
25x = 45,500
x = 1820
So, you could expect 1,820 trout to be in the lake.
No rush on this one:)
The price of a shirt decreases by 13$. Which integer represents the decrease in the shirt’s price?
Answer:
-13
Step-by-step explanation:
-13 since it's going down in price
Wayne graphed the following linear function on an (x,y) coordinate plane.
f(x) = -5.4x+12.6
What is the y intercept of the graph of this function ?
Answer:
12.6
Step-by-step explanation:
The y intercept means that x=0, therefore you will plug in 0 in your equation.
f(x) = -5.4x + 12.6
f(0) = -5.4(0) + 12.6
f(0) = 0 + 12.6
=12.6
Find the balance in the account.
$3,800 principal earning 2%, compounded annually, after 7 years
Answer:
A = $4360.515918 which rounded to the nearest penny is $4360.52
Step-by-step explanation:
9/4 plus 3/8 (please show work)
Answer:
21/8 or 2 5/8
Step-by-step explanation:
9/4 + 3/8
The least common denominator being 8 so you would add the numerators.
18+3/8
Which would be:
21/8 or, as a mixed fraction, 2 5/8
Which is an example of Identity Property of Addition ?
6 + 0 = 6
23+5=5+3
07x1 = 7
O (5+9) + 8 = 5 + (9 + 8)
+
Answer:
Probably the last one but the numbers are kind of jumbled up so...
Step-by-step explanation:
Have a good day
point slope line equation of the line through (8,-8) and (9,8)
Answer:
y+8=16(x-8)
Step-by-step explanation:
y-y1=m(x-x1) is the formula
Just substitute from the first pair then you should get the answer.
Given the exponential function [tex]f(x) = -2(0.8)^x[/tex], what is the value of f(x) when x =0?
Work Shown:
[tex]f(x) = -2(0.8)^x\\\\f(0) = -2(0.8)^0\\\\f(0) = -2(1)\\\\f(0) = -2\\\\[/tex]
In the third step, I used the idea that [tex]x^0 = 1[/tex] where x is any nonzero number.
Three computers just scanned for viruses at the same time. Computer A runs a virus scan every 10 days. Computer B runs a virus scan every 12 days, and Computer C runs a virus scan every 16 days. How long will it be until all the computers run a virus scan at the same time again?
Answer: 240 days.
Step-by-step explanation:
The number of days that it'll will be until all the computers run a virus scan at the same time again will be calculated by solving for the lowest common multiples of the numbers. This will be:
Multiples of 10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240.
Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240
Multiples of 16 = 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240
Here, we can see that the least common multiple is 240. Therefore, all the computers will scan at the same time in 240 days.
Find the total surface area of the
following square pyramid:
9 cm
10 cm
SA = [?]cm2
Answer:
280 cm2
Step-by-step explanation:
1)find the area of square
A=LW
=10×10
=100
2) find the area of triangle
A=B×H÷2
=10×9/2
=45
Coz,there are 4 triangle we multiple by 4
=45×4
=180
3)find the total surface area by adding the two
=100+180
=280cm2
Answer:
SA = [280] cm 2
Step-by-step explanation:
For Lateral Area the formula is 4(1/2 10 x 9)
But the 1/2 makes it 4(1/2 5 x 9)
Then you multiply 5 x 9 = 45 then multiply 45 by the 4 and get 180
Then for Surface Area you put in (180 + 100) = 280
You get the 100 by multiplying 2 of the base numbers together.
Randy, Sandy and Todd are my cousins and their combined age is 87 years. Randy is four times as old as Sandy, but Todd is actually 15 years older than Sandy. How old are each of my cousins
Answer:
Randy is 48 years old
Sandy is 12 years old
Todd is 27 years old
Step-by-step explanation:
Given
Represent their ages with the first letters of their names:
[tex]R + S + T = 87[/tex]
[tex]R = 4 * S[/tex]
[tex]T = 15 + S[/tex]
Required
Determine their individual ages
We'll solve the above equations using substitution method of simultaneous equations
Substitute 15 + S for T and 4 * S for R in [tex]R + S + T = 87[/tex]
This gives:
[tex]4 * S + S + 15 + S = 87[/tex]
[tex]4 S + S + 15 + S = 87[/tex]
Collect Like Terms
[tex]4 S + S + S = 87 - 15[/tex]
[tex]6S = 72[/tex]
Divide through by 6
[tex]S = 72/6[/tex]
[tex]S = 12[/tex]
This implies that Sandy is 12 years old
Substitute 12 for S in [tex]R = 4 * S[/tex] and [tex]T = 15 + S[/tex]
[tex]R = 4 * 12[/tex]
[tex]R = 48[/tex]
[tex]T = 15 + 12[/tex]
[tex]T = 27[/tex]
This implies that Randy is 48 years old and Todd is 27
The notebook shows the money Lisa earned and spent on her first day selling kale at the
Farmers' Market. A positive number represents money earned. A negative number represents
money spent. Lisa wants to find her profit for the first day.
Answer:
Step-by-step explanation:
7 + (-5)= 2
on a piece of paper graph y=-2x-3. then determine which answer matches the graph you drew
The line will cut the y-axis at y = -3
Equation of a lineThe standard equation of a line is expressed as y = mx + b
where:
m is the slopeb is the y-interceptGiven the equation y = -2x - 3, you can see that the slope is -2 and the y-intercept is -3.
This shows that the line will cut the y-axis at y = -3
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Question 3 of 10
What is the measure of RST?
A. 72°
B. 162°
C. 324°
D. 81°
Answer:
D. 81
Step-by-step explanation:
This answer was confirmed by two people in the comments.
What I did to get this answer was subtract 162 by 81 so the math that I did was to make sure I got the same number as the answers.
[tex]162-81=81[/tex] ☑
[tex]162-72=90[/tex] ☒
[tex]162-162=0[/tex] ☒
[tex]162-324=-162[/tex] ☒
So, therefore the answer is [tex]81[/tex].
I hope this helped you. :)
* Ms. Quintero has visited 16 of the 50 states. What percent of the states has she visited? KEY Part (is) Whole(of) % 100 Whole
A.25%
B.32%
C.16%
D.8%
Answer:
B. 32%
Step-by-step explanation:
16/50 = 32% lol
goodluck!
Bella wants to save for a vacation in three years and this vacation costs $2300. She deposits $2000 into a bank earning 5% interest compounded monthly. How much money does Bella have after 3 years?
Answer:
$2,323.2
Step-by-step explanation:
A = P(1 + r/n)^nt
Where,
A = future value = ?
P = present value = 2,000
r = interest rate = 5% = 0.05
n = number of periods = 12
t = time = 3 years
A = P(1 + r/n)^nt
= 2,000(1 + 0.05/12)^12*3
= 2,000( 1 + 0.00417)^36
= 2,000( 1.00417)^36
= 2,000(1.1616)
= 2,323.2
A = $2,323.2
the length of a rectangle is 8 units greater than its width . find the dimensions when its area is 105 square units.
I hope this helps ;)
For the following exercises, determine whether the relation is a function
a) {(5.2),(6,1),(6,2),(4,8)}
i’m trying one last time
Write an equation in standard form of the line that passes through the following
points, where a ≠0 and b ≠0.
Answer:
The equation =3 is equivalent to = 0 +3. From this form, we know the line has slope =0.
Step-by-step explanation:
Answer:
ax + by = c
Step-by-step explanation:
The standard form of the line is
ax + by = c; where a, b and c are numbers
Also a and b are coefficients are not zero so there are x and y terms.
Find the value of x that makes m || n. Explain.
Answer:
Step-by-step explanation:
x=120/3
x=40
Answer:
40
Step-by-step explanation:
if m||n then 3x must be equal to 120°
120° = 3x divide both sides by 3
40 = x
1/5+x+2/3=1 PLEASE HELP
Answer:
x=2/15
Step-by-step explanation:
1/5+x+2/3=1
3/15+x+10/15=15/15
13/15+x=15/15
x=2/15
Answer:
the answer to your question
5 2/5 as a decimal number
Answer:
27/5 = 5,4
Step-by-step explanation:
5 2/5 = 27/5 = 5,4
[tex] |15 - 4| [/tex]
PLEASEEEEE HELPPP
Answer:
11
Step-by-step explanation:
15-4=11
|11|=11
Evaluate the expression shown below and write your answer as a fraction in simplest form.
3
4
+
1
6
4
3
+
6
1
plss help
Answer:
Step-by-step explanation:
the answer would be 11/12
Laura buys a saddle in the UK for £850 Delivery is free. Steve buys the same saddle from Holland for 990 Euros. He pays 15 Euros for delivery. £1 = 1.18 Euros Including the delivery charge, whose saddle is cheaper?
Answer:
Laura's saddle is cheaperStep-by-step explanation:
We want to convert from euros to pound and compare which purchase is more expensive.
given data
we are told that Steve buys the same saddle from Holland for 990 Euros
given the exchange rate in pounds, it will be
£1 = 1.18 Euros
x=990 Euros
cross multiply we have
x=990/1.18
x= £838.98
Steve buys at £838.98
delivery charge is 15 Euros to pounds
£1 = 1.18 Euros
x=15 Euros
cross multiply we have
x=15/1.18
x= £13.04
to expenses incurred by Steve= £838.98+£13.04
=£852.02
Laura's saddle is cheaper
Please help this is due in 30 mins
Answer:
im pretty sure its c or rotation
Step-by-step explanation: