Answer:
42754496
Step-by-step explanation:
Volume =Base area * height
=37636 * 1136
=42754496cubic feet
in 1980, wind turbines in Europe generated about 5 gigawatt-hours of energy. Over the next 15 years, the amount of energy increase by about 59% per year.
NOT A MULTIPLE CHOICE
1a. Write a model giving the amount E of energy t years after 1980.
1b. Use your model determine how much wind energy was generated in 1984.
1c. Determine the year when 80 gigawatt-hours of energy were generated.
9514 1404 393
Answer:
1a. E = 5×1.59^t
1b. 32 GWh
1c. 1986
Step-by-step explanation:
1a. An exponential model looks like
f(t) = a·b^t
where 'a' is the value when t=0, and 'b' is the growth factor in the time period associated with t.
Here, 'a' is 5 (GWh), and 'b' is 1+59% = 1.59. Then the desired model is ...
E = 5·1.59^t . . . . . where t is years after 1980, and E is in GWh.
__
1b. For t=4, we have ...
E = 5·1.59^4 ≈ 31.96 ≈ 32
About 32 GWh was generated in 1984.
__
1c. The value of t for a given value of E is ...
E/5 = 1.59^t . . . . divide by 5
log(E/5) = t·log(1.59) . . . . take logarithms
t = log(E/5)/log(1.59) . . . . divide by the coefficient of t
For E = 80, the years after 1980 are ...
t = log(80/5)/log(1.59) ≈ 5.98
About 80 GWh were generated in 1986.
1
5. A businessman makes a profit of 20% when he sells a carpet for Ks'n 36000. In a trader fair he sold one
such carpet for Ksh 33600. Calculate the percentage profit made on the sale of the carpet during the
trade fair
(3mks)
Answer:
sorry I can't answer
Step-by-step explanation:
pls thanks me
Find the area of the regular polygon
Answer:
!
Step-by-step explanation:
here it is!!!!!!!!!!!!!!!
Given: g(x)=−2x^2+x+3 find: g(3)
Which of the following equations represents a linear function?
Answer:
B
Step-by-step explanation:
I chose the answer B because there is no there should be no exponents to make the answer linear
Answer:
B because Linear equation doesnt have an exponent
I know y’all are smarter than me helpp me please
Answer:
(b)
Step-by-step explanation:
Given
A roll of a six sided die
Required
Which of the options is true
A) P(Even) = 1/4 and P(Odd) = 3/4
In a die, we have:
[tex]S = \{1,2,3,4,5,6\}[/tex] -- sample space
[tex]E = \{2,4,6\}[/tex] --- Even
[tex]O = \{1,3,5\}[/tex] -- Odd
The probability of even is the number of even sides over total.
i.e.
[tex]P(Even) = 3/6[/tex]
[tex]P(Odd) = 3/6[/tex]
Hence, (a) is incorrect
(b) A) P(Even) = 1/2 and P(Odd) = 3/2
In (a), we have:
[tex]P(Even) = 3/6[/tex]
[tex]P(Odd) = 3/6[/tex]
Simplify each
[tex]P(Even) = 1/2[/tex]
[tex]P(Odd) = 1/2[/tex]
Hence (b) is true
Since (b) is true, (c) and (d) are false
HELLLLP ! What is the area of the triangle below?
4
18
A. 72 sq. units
B. 16 sq. units
C. 36 sq. units
D. 32 sq. units
HELP !!!
geometry thats finding x y and z of a triangle but my dum self doesn't know this so plz help
Answer:
[tex]x = \frac{48}{\sqrt{3}}[/tex]
[tex]y = \frac{24}{\sqrt{3} }[/tex]
[tex]z = 24[/tex]
Step-by-step explanation:
___________________________________________________________
FACTS TO KNOW BEFORE SOLVING :-
For a triangle with one of it's acute angle α (alpha) , the value of :-
[tex]\sin \alpha = \frac{Side \: opposite \: to \: \alpha }{Hypotenuse}[/tex][tex]\cos \alpha = \frac{Side \: adjacent \: to \: \alpha}{Hypotenuse}[/tex]___________________________________________________________
In the question , first of all lets find the value of z. So,
[tex]\cos 45 = \frac{z}{24\sqrt{2}}[/tex]
[tex]=> \frac{1}{\sqrt{2}} = \frac{z}{24\sqrt{2}}[/tex]
[tex]=> z = \frac{24\sqrt{2}}{\sqrt{2}} = 24[/tex]
Length of the altitude perpendicular to side (z + y) = [tex]\sqrt{(24\sqrt{2})^2 - 24^2} = 24[/tex]
Now , lets find the value x. So,
[tex]\sin 60 = \frac{24}{x}[/tex]
[tex]=> \frac{\sqrt{3}}{2} = \frac{24}{x}[/tex]
[tex]=> x = \frac{48}{\sqrt{3}}[/tex]
Also ,
[tex]\cos 60 = \frac{y}{x}[/tex]
[tex]=> \frac{1}{2} =\frac{y}{\frac{48}{\sqrt{3}}}[/tex]
[tex]=> y = \frac{48}{2\sqrt{3}} = \frac{24}{\sqrt{3}}[/tex]
PLEASE HELPPP THIS TWOOO
Answer:
learning task 3.4
1) p-3
2) (8÷d)+6
3) 11-(9×4)
4) 4÷2
5) (10+6)÷4
Pls HELP!!! Answer accurately... this should be very easy,
Answer:
85
Step-by-step explanation:
He has 170 correct answers, so 170 * 0.5 = 85 points #0.5 points per 1 question
In the polyhedron above x=5 m and y==20 m. The volume of the polyhedron is _____ m3. Round your answer to the tenths place.
Answer:
523.6 m³
Step-by-step explanation:
The polyhedron is an oblique cone
Volume of oblique cone = ⅓πr²h
r = x = 5 m
h = y = 20 m
Volume = ⅓*π*5²*20
Volume = ⅓*π*25*20
Volume = 523.598777 ≈ 523.6 m³ (nearest tenth)
Can someone explain step by step how to do this?
Answer: use the app photomath. its free. you take a picture and it will show you all the steps in depth
Step-by-step explanation:
Answer:
5) 10³: So you do 10* 10*10= 1,000
so 10³= 1,000
All you are doing is takeing the number and multiplying itself to the power.
6) (-7)⁴= so you are taking the -7 in parenthesis and making it positive, then you are taking the positive 7 and doing 7⁴. Once you do that you get positive 2401.
8) 3+6* (-5) to the second (i dont have the symbol) so you are going to do PEMDAS: Parenthesis, Expression, Multipulcation, Divison, Addition and Subtraction. so it would be 5+6*25to the second. So you do multipulcation first, so do 6*25=150. Then do addition and do 150+3=153
Step-by-step explanation:
5) 10³= 1,000
6)(-7)⁴= 7⁴= 2401
8)3+6* (-5) to the second= 3+6* (5) to the second= 3+6* 25= 6*25= 150+3= 153
Answer to 8 is= 153
I hoped this helped you :D
A trade school would like to measure the long-term success of their graduates after they leave the school. The school emais a survey requesting information from graduates about their work experience. One question asks graduates to share their annual salary, and the results of the question will be shared in a brochure for incoming
students. Is it likely that the survey results will provide an accurate estimate of mean annual salary for all of the
school's graduates?
The survey will provide a reasonable estimate of mean annual salary because all graduates were sent the email
survey
The survey will likely overestimate mean annual salary because those with higher salanes may be more likely to respond to the survey
The survey will likely underestimate mean annual salary because there may be more graduates with lower
salanes than higher salaries
The survey will likely overestimate the mean annual salary because the email was only sent to graduates with jobs in their chosen feld
Answer: The survey will likely overestimate mean annual salary because those with higher salanes may be more likely to respond to the survey.
Step-by-step explanation:
We should note that this is voluntary response because despite the fact that the email was sent to the students, a graduate can decide to be part of the sample or not.
In this case, those that have higher salaries will be more likely to respond to their emails than those that have lower salaries. Therefore, the survey will likely overestimate mean annual salary.
Joan is trying to get through all 275 episodes of Cheers on DVD. She's already watched 83, and she figures she can get through 4 episodes per day if she really focuses. How many days will it take her to finish the series?
A) 48 days
B) 192 days
C) 50 days
D) 68.75 days
Answer: (a)-48 days
Step-by-step explanation:
Given
Joan is watching 275 episodes of Cheers and already watched 83
She can watch 4 episodes per day
Remaining episode 275-83=192
No of days required to finish Cheers
[tex]\Rightarrow n=\dfrac{192}{4}=48\ \text{days}[/tex]
Solve for the following by
FACTORING:
x2 + 15x + 56 = 0
Answer:
17x + 56 = 0
Step-by-step explanation:
add 2x and 15x
7% of 200 is what number?
Answer:
7% of 200 is 14
Step-by-step explanation:
200 × 7 ÷ 100
1400 ÷ 100 = 14
Thus, 7% of 200 is 14
-TheUnknownScientist
Answer:
14
Step-by-step explanation:
7% is equivalent to 0.07
200 x 0.07 = 14
Select the correct answer.
Gary's school won 70% of the basketball games played on their home court. What is the estimated probability that his school will win exactly one of the next three games at home?
Use the table to answer the question. The table shows the results of simulating this situation using a random number generator.
The numbers 0 to 6 represent a win on the home court, and 7 to 9 represent a loss on the home court.
479 787 293 926 807 398 730 994 718 184 978 400 904 488 508 241 729 673 178 982 556 355 137 241 430 500 379 811 147 260 250 704 631 109 287 172 870 124 557 192 803 588 674 856 678 385 981 830 972 949
A.) 0.04
B.) 0.10
C.) 0.34
D.) 0.60
Answer:
Step-by-step explanation:
0.34
Select the coefficents in the expression: 5x + 4 - 2x -1 *
Answer:
When you solve it, the leading coefficient is 3.
Step-by-step explanation:
Combine Like Terms:
=5x+4+−2x+−1
=(5x+−2x)+(4+−1)
=3x+3
Hope it helps :)
Answer:
The coefficients are 5, 4, 2 and -1
Step-by-step explanation:
Coefficients are the whole numbers
Jamal's car averages 18.4 miles per gallon. How far can he expect to drive on 9.2 gallons of gas?
Answer:
169.28
Step-by-step explanation:
18.4x9.2=169.28
Please solve the question in the photo.
Answer:
2x^3 +7x^2+3x-2
Step-by-step explanation:
3x^3 +7x^2 -x
- ( x^3 -4x +2)
------------------------
The first step is to line up the variables by degree
3x^3 +7x^2 -x
- ( x^3 -4x +2)
----------------------------
Then distribute the minus sign
3x^3 +7x^2 -x
- x^3 +4x -2
----------------------------
2x^3 +7x^2+3x-2
Arrange in ascending order. 0.06,0.03,1,0.76,0.2
Answer:
0.03, 0.06, 0.2, 0.76, 1
Step-by-step explanation:
y is directly proportional to x. When x = 6, y = 9
Find x when y = 15
Answer: x = 16
Step-by-step explanation:
Suppose a large labor union wishes to estimate the mean number of hours per month a union member is absent from work. The union decides to sammple 348 of its members at random and monitor the working time of each of them for 1 month. At the end of the month the total number of hours absent from work is recorded for each employee . if the mean and standard deviation of the sample are x = 7.5 hours and s = 3.5 hours, find a 99% confidence interval for the true mean number of hours a union member is absent per month. Round to the nearest thousandth.
A) 7.5 ± .258
B) 7.5 ± .186
C) 7.5 ± .026
D) 7.5 ± .483
Answer:
c
Step-by-step explanation:
So these three sides form a right triangle?
7, 24, 25
Please Answer!!
For a 3-person relay race, a
coach can choose from 4 of
his top runners. How many
different 3-person teams can
he choose?
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
3 x 4 = 12
What is the solution set of 6x2 - 24 = 0?
a. {2}
b. {-2)
c. {-2, 2}
Answer:
c.{-2,2}
Step-by-step explanation:
6
x
2
−
24
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
6
,
b
=
0
, and
c
=
−
24
into the quadratic formula and solve for
x
.
0
±
√
0
2
−
4
⋅
(
6
⋅
−
24
)
2
⋅
6
Simplify.
x
=
±
2
The final answer is the combination of both solutions.
x
=
2
,
−
2
Solve the following:
FOR GOD SAKE NO BOTS NO TROLLS NO PEOPLE WANTING POINTS! PLEASE I NEED HELP FOR THIS!
Answer:
i got 21/1
Step-by-step explanation:
The square of a number, x, is 16 less than eight times the number. What is the number?
Answer:
4
Step-by-step explanation:
x² = 8x - 16
x² - 8x + 16 = 0
(x - 4)² = 0
x = 4
Alex is saving money at a constant rate. Suppose she initially has $170 saved, and after 5 months, she has $420 saved.
Which of these expresses the rate at which Alex is saving?
Answer:
50 dollars per month
Step-by-step explanation:
Money saved over time period x / Time period x = $250/5 months=$50/1 month
Which image below shows a line?
Answer:
where is the Picture?? I need to see the image to answer.
