The Garza family uses about 12,000 kWh/year. If they install a wind turbine whose rotor has a diameter of 20 ft, the formula relating annual energy output to annual average wind speed, V, in mph, becomes 12,000=0.01328⋅202⋅V3, which simplifies to 12,000=5.312V3.
Solve 12,000=5.312V3 for V. With a rotor whose diameter is 20 ft, what is the annual average wind speed that the Garzas need to power their home?
Enter your answer into the box. Round to the nearest tenth.
V =
mph
Answer: V = 13.1 mph
Step-by-step explanation:
12,000 = 5.312V^3
Divide 5.312 from both sides, and on the right side it will cancel out.
12,000/5.312 = V^3
2,259 = V^3
Extract the cube roots of both sides, leaving V^3 to just V.
13.1 = V (I think)
10 < 3 (r-3) + 1
Round Decimals to the nearest hundredth place
Answer:
r>6
Step-by-step explanation:
10<3r+3 x -3+1
Solve by distributing:
10<3r-9+1
Simplify the arithmetic:
10<3r-8
Simplify the arithmetic:
3r-8>10
Add 8 to both sides:
3r-8+8>10+8
Simplify the arithmetic:
3r>10+8
Simplify the arithmetic:
3r>18
Divide both sides by 3:
3r/3 > 18/3
Simplify the fraction:
r>18/3
Find the greatest common factor of the numerator and denominator:
r> 6x3/1x3
Factor out and cancel the greatest common factor:
r>6
I´ll give brainliest to whoever answers this properly.
Answer:
I think it’s a
Step-by-step explanation:
Barb pulled the plug in her bathtub and it started to drain. The amount of water in the bathtub as it drains is represented by the equation L = -5t - 8t + 120, where L represents the number of liters of water in the bathtub and t represents the amount of time, in minutes, since the plug was pulled. How many liters of water were in the bathtub when Barb pulled the plug? Show your reasoning. Determine, to the nearest tenth of a minute, the amount of time it takes for all the water in the bathtub to drain.
The bathtub had 120 L of water before Barb pulled the plug.
It will take about 9.23 minutes for the water to drain out.
Given equation: L = -5t - 8t + 120
Simplified: L = -13t + 120
Notice how it's written in slope-intercept form (y = mx+b)
The y-intercept (L) is 120. So the coordinates for L = (0 , 120)
The coordinates mean that before the water in the bathtub began draining out, it initially had 120 Liters of water.
Now that we know how many liters there were before, the new equation would look like this: L = -13t --> 120 = -13t
Solving the equation, we get that t = -9.23 minutes
Since time can't be negative, we'll just say that it will take 9.23 minutes to drain out all the water.
pls help asap
question 1. A card is pulled from a standard deck of cards. Find the probability of getting a 2 or King.
question 2. A 6-sided number cube is rolled. Find the Probability of NOT getting a 2 or 5.
Answer:
question 1) 8/52
question 2) 2/3
Step-by-step explanation:
question 1) there are 52 cards in a standard deck. Of those 52 cards there are 4 of each card (e.i 4 aces, 4 kings, 4 tens, etc.). So, 4 of 52 cards are 2s and 4 of 52 cards are Kings. 4 + 4 is 8, so the probability of getting a 2 or a King is 8/52.
question 2) There are 6 numbers on a 6-sided number cube-- 1, 2, 3, 4, 5, 6. The numbers 2 and 5 can be crossed out because we want to find the probability of NOT getting a 2 or 5. This leaves you with the numbers 1, 3, 4, and 6. That is 4 of 6 numbers. Therefore the probability of NOT getting a 2 or 5 is 4/6. We can simplify 4/6 to 2/3.
????????????????????????????????????????????????????????????????
What is the approximate volume of a cylinder with a radius of 3 feet and a height of 4 feet?
You may use your formula sheet and a calculator.
Use 3.14 for π.
Question 2 options:
37.68 ft³
113.04 ft³
75.36 ft³
36 ft³
answer is 113.04 ft³
formula is
volume = pi times radius squared times height
3.14 times 3 squared times 4
3.14 x 9 x 4 =
GRAPHING COORDINATES (additional instructions in photo)
I really need help please once I get this done I’ll be able to go to a concert I’ve always wanted to go to I’m just so confused with this please help!!!
(Btw if you help with this question go answer the last one for more points)
Answer:
flip it
Step-by-step explanation:
just flip the existing coordinates and make the negative to positive
Answer: All you have to do is flip it
An account earns 3% yearly simple interest. How much interest will you earn in 5 years if you put $820 in the account
A. $130.60
B. $ 123.00
C. $943.00
D. $950.60
Answer:
[tex]the \: interest \: is \: 123.00(option \: b)[/tex]
Step-by-step explanation:
[tex]rate = 3\% \\ time = 5years \\ principal = 820[/tex]
[tex]interest = \frac{principal \: \times rate \: \times \: time}{100} [/tex]
[tex]interest = \frac{820 \times 5 \times 3}{100} [/tex]
[tex]the \: interest \: is \: 123[/tex]
Will this be hard for you guys-? (will give Brainliest) ^^
I hope not! ^^
Answer:
640 ft
Step-by-step explanation:
Volume = l x w x h
Answer:
About 64ft
[tex] {64ft}^{3} [/tex]
Step-by-step explanation:
We all know that to find volume it's length (l) × weath (w) × height (h)
Men and women (ages 22–40) were surveyed to choose a favorite free-time activity: playing sports, dancing, or watching movies/TV.
The survey showed the following frequencies:
Men—playing sports: 11; dancing: 3; watching movies/TV: 6
Women—playing sports: 5; dancing: 16; watching movies/TV: 9
Which of the following is a correct two-way frequency table for the data?
Men and Women Leisure Time Activity Preferences
Playing Sports Dancing Watching movies/TV Row totals
Men 0.22 0.06 0.12 0.12
Women 0.10 0.32 0.18 0.60
Column totals 0.32 0.38 0.30 1
Men and Women Leisure Time Activity Preferences
Playing Sports Dancing Watching movies/TV Row totals
Men 11 3 6 20
Women 5 16 9 30
Column totals 16 19 15 50
Men and Women Leisure Time Activity Preferences
Playing Sports Dancing Watching movies/TV Row totals
Men 0.55 0.15 0.30 1
Women 0.17 0.53 0.30 1
Column totals 0.32 0.38 0.30 1
Men and Women Leisure Time Activity Preferences
Playing Sports Dancing Watching movies/TV Row totals
Men 0.69 0.16 0.40 0.40
Women 0.31 0.84 0.60 0.60
Column totals 1 1 1 1
Answer:
Hello how are you the answer is b
On the graph in the Sketchpad reflect ABC over the X axis. Then translate it 4 spots to the LEFT. Draw ABC in it's new location.
Make sure you label each of the points as to where they will be after the above transformation.
Answer:
the answer is:
Step-by-step explanation:
A will be at (0,2)
B will be at (3,9)
C will be at (3,2)
HURRY il give brainly (question 11)
Answer: (6,2)
Step-by-step explanation:
If you draw this on a graph and want it to be a rectangle with opposite sides of equal length, this is the required coordinate.
500 people are asked to name their favorite color. The results of this survey are shown in the pie chart below:
Each sector of the pie chart makes an angle at the center. For example, the yellow sector makes an 18-degree angle, since 18 degrees is 5% of 360 degrees.
If we consider only the people who named a rainbow color (red, orange, yellow, green, blue, or purple), what percentage of those people preferred red?
Answer:
40 degrees is (40/360)=0.111=11.1%
The color closest to 11.1% is Purple at 12%.
The total who prefer a rainbow color is:
13+4+5+15+16+12=65
Of this 65, 13 prefer red, so 13/65=0.20,
of the people who preferred a rainbow color,
20% preferred red.
Step-by-step explanation:
The percentage of those people who preferred red is 20%.
What is a percentage?
The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying it by 100.
The percentage change is also calculated using the same method.
In percentage change, we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Considering only the people who named a rainbow color (red, orange, yellow, green, blue, or purple).
This means,
Total percentage.
= (13 + 4 + 5 + 15 + 16 + 12)
= 65%
Now,
The percentage of those people preferred red.
= 13%/65% x 100 %
= 13/65 x 100
= 20%
Thus,
The percentage of those people who preferred red is 20%.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
How do I do this? Can somebody answer and explain?
How to make Mixed fractions into Improper Fractions?
Easy!
What you do is, you multiply the denominator with the whole number, then add the result of multiplying the denominator with the whole number to the numerator, and then, when you have that result, you put that result as your new numerator, and the denominator remains same from the Mixed fraction.
Look at picture
Answers to your questions:
1) [tex]3\frac{1}4}[/tex]
[tex]= 4*3=12\\=12+1=13\\\\=\frac{13}{4}[/tex]
2) [tex]7\frac{2}{3}[/tex]
[tex]=3*7=21\\=21+2=23\\\\=\frac{23}{3}[/tex]
3) [tex]4\frac{1}{2}[/tex]
[tex]=2*4=8\\=8+1=9\\\\=\frac{9}{2}[/tex]
4) [tex]2\frac{7}{8}[/tex]
[tex]=8*2=16\\=16+7=23\\\\=\frac{23}{8}[/tex]
Here are your answers!
Have a great day!
:D
Pls answer quick and no links! I’ll give brainliest to the correct answer
A large solar panel is designed to have multiple smaller sections. A small section of one panel is pictured below. Imagine it breaks and needs to be replaced. Your friend says that it has an area of 30.4 inches. Do you agree? Explain your reasoning.
(Edge math project: International Space Station -Finding Area Project - Step 1: question C)
The requried small section of the solar panel does not have an area of 30.4 inches.
What is surface area?Surface area is defined as the measure of a region or surface is called as surface area.
Identify the problem and find the area of the small section.
Formulate the area using the dimensions provided: (10.4 x 4.8)/2
Solve for the area: (49.92)/2 = 24.96
Contrast the calculated area with the given area: 24.96 is not equal to 30.4.
Finalize the answer: Disagree, the small section of the solar panel does not have an area of 30.4 inches.
Thus, the requried small section of the solar panel does not have an area of 30.4 inches.
Learn more about the surface area here: https://brainly.com/question/2835293
#SPJ2
45. A pile of logs has 24 logs in the bottom layer, 23 in the second layer, 22 in the third, and so on. The top layer contains 10 logs. Find the total number of logs in the pile.
The total number of logs in the pile will be 255.
What is the sum of an arithmetic sequence?Let a₁ be the first term, L be the last term, n be the number of terms, and d be a common difference.
Then the sum of the arithmetic sequence will be
S = (n / 2)[a₁ + L]
S = (n/2) [2a + (n − 1) d]
A pile of logs has 24 logs in the bottom layer, 23 in the second layer, 22 in the third, and so on. The top layer contains 10 logs.
The common difference is negative 1.
Then the nth term of the arithmetic sequence is given as,
10 = 24 + (n - 1) x (-1)
n - 1 = 14
n = 15
Then the total number of logs in the pile will be
S = (15/2) [24 + 10]
S = 7.5 x 34
S = 255
The total number of logs in the pile will be 255.
More about the sum of arithmetic sequence link is given below.
https://brainly.com/question/25749583
#SPJ5
Using the spinner below – if spun twice in a row – theoretically how many outcomes would involve at least one purple (2)?
probability of landing on purple and pink. Find the ... If the arrow is spun 400 times, how many times would it be ... Milk (M) outcomes for tossing three coins one time, using the letter.
We need to see the diagram for if there are any more colours the probability becomes lesser
Find the sum. sum_k=3*6 k-5/k-1
Johnny runs a hot dog stand. On Wednesday morning, he had 32 dozen hot dogs at his stand. The graph shows the number of hot dogs (in dozens) that remained unsold at the end of each day of sales.
I saw you got it in the comment section of the post, but yes, he sold 30 dozen hot dogs on Wednesday.
By using the information of the graph, we conclude that he sold 2 dozen (24 hot dogs) on Wednesday.
How many hot dogs did Johnny sell on Wednesday?
The graph shows how many dozens of hot dogs Johnny had at the end of each day.
We know that he started with 32 dozens, and in the graph, we can see that at the end of Wednesday he had a total of 30 dozens.
Then the amount that he sold that day is:
32 dozens - 30 dozens = 2 dozens.
On Wednesday, he sells 2 dozen of hot dogs.
If you want to learn more about graphs:
https://brainly.com/question/10662770
#SPJ2
A football gained 11 yards on each of 8 plays. How many yards did they gain?
88
19
20
-80
Answer:he gained 88 yards
Step-by-step explanation: just do 11x 8 and you will get 88
so therefore the best option is a have a great day
Answer: Hello your answer would be, [tex]88[/tex].
Step-by-step explanation:
If a football gained 11 yards each play 8 times, you multiply
[tex]11*8[/tex]
Cancel yd
[tex]\frac{11}{8}[/tex]
[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be[/tex] [tex]A.[/tex] [tex]88[/tex]
A regular-size box of dog treats measures 3 1/4 inches by 7 1/2 inches by 12 inches. The manufacturer also sells a small-size box that has a volume that is 3/10 of the volume of the regular-size box.
What is the volume of the small-size box of dog treats?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
87 3/4
Step-by-step explanation:
If the manufacturer also sells a small-size box that has a volume that is 3/10 of the volume of the regular-size box, then the volume of the small-size box of dog treats would be 87 3/4.
How to determine the volume of the boxTo determine the volume of the box, we would first convert the measurements of the regular-size boxes to a proper fraction. We could proceed as follows:
3 1/4 inches = 13/4
7 1/2 inches = 15/2
12 inches
Now we sum the volumes as follows: (13/4) * (15/2) * (12/1)
= 585/2 cubic inches
Now, we would find 3/10 of 585/2 cubic inches
= 87.75 inches or 87 3/4 cubic inches.
Learn more about volume here:
https://brainly.com/question/27710307
#SPJ2
A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.
Which of the following inferences can be drawn about the buying pattern of the online customers versus that of the walk-in customers?
A. Online customers buy an average of four packs compared with walk-in customers, who buy an average of one pack.
B. Online customers buy an average of five packs compared with walk-in customers, who buy an average of two packs.
C. Online customers buy an average of four packs compared with walk-in customers, who buy an average of two packs.
D. Online customers buy an average of five packs compared with walk-in customers, who buy an average of one pack.
Answer:
The Answer is C. Online customers buy an average of four packs compared with walk-in customers, who buy an average of two packs. Step-by-step explanation:
The mean for online customers is 4.3
The mean for walk in customers is 1.8
Round the 4.3 to 4 and Round the 1.8 to 2
55. In a quality control procedure to test for defective light bulbs, two light bulbs are randomly selected from a large sample without replacement. If either light bulb is defective, the entire lot is rejected. Suppose a sample of 200 light bulbs contains 5 defective light bulbs. Find the probability that the sample will be rejected. (Hint: First calculate the probability that neither bulb is defective.)
Simplify each cube root expression. Describe the simplified form of the expression as rational or irrational. In your final answer, include all your work 1. ∛81
2. ∛¬64
How would 3 1/4 be written as a percent?
A: 0.0325%
B: 3.25%
C: 32.5%
D: 325%
Fractions are parts of a number. Decimals are fractions whose denominators are powers of 10. Percents are numbers out of 100. Therefore, you convert a fraction to a decimal, follow these steps:
Convert the mixed fraction into a whole fraction:[tex]3\frac{1}{4} = \frac{13}{4} = \frac{325}{100}[/tex]
Convert the fraction into a decimal:[tex]\frac{325}{100}[/tex] = 3.25
Convert the decimal into a percent by multiplying by 100:3.25 × 100 = 325%
Your answer is D
What elements of a rectangular prism are needed to find its volume?
Answer:
Height Length And Width
Step-by-step explanation:
The formula for the volume of a retangular prisim is Volume=Length x Width x Height
Answer:
the answer is length width hieght
Step-by-step explanation:
Determine whether each mathematical statement is true or false. The answer choices on the right may be used more than once.
Don't remind me that im loosing points for this :D
H e l p Thank youuu
Answer:
[tex]\boxed{\sf volume = 320 \ ft^3}[/tex]
Explanation:
Volume of triangular prism = 1/2 × Base × Height × Length
Identify the following:
Base: 6 2/3 ftHeight: 8 ftLength: 12 ftFind Volume:
1/2 × 6 2/3 × 8 × 121/2 × 640320 ft³[tex]Area \: of \: triangle = ½ × height× width \\ area = \frac{1}{2} \times 8 \times \frac{20}{3} \\ area = \frac{{ \cancel8} {}^{ \: \: 4} }{ \cancel2} \times \frac{20}{3} \\ area = \frac{80}{3} {ft}^{2} [/tex]
Now for volume :-
Volume = area of triangle (2D ) × length
[tex]volume = area \times length \\ vol = \frac{80}{3} \times 12 \\ vol = \frac{80}{ \cancel3} \times { \cancel{12}} {}^{ \: \: 4} \\ volume = 320 {ft}^{3} [/tex]
Answer:- volume = 320 ft³ill give brainly but hurry
Answer:
D. 270
Step-by-step explanation:
9 + 9 = 18
18 x 15 = 270
Answer:
270
Step-by-step explanation:
1. divide the bases into separate numbers and add them together. 18.
2. multiply by the height, which is the dotted line. The result is 270.
