It was a cylinder shape
volume of cylinder is
[tex] = \pi {r}^{2} h[/tex]
Radius of the can
=6.6÷2
=3.3
Volume of 6 can
[tex]6(3.142 \times {3.3}^{2} \times 12.1) \\ = 6(3.142 \times 10.89 \times 12.1) \\ = 6(34.21638 \times 12.1) \\ = 6(414.018198) \\ = 2484.109188 \\ = 2484.11 \: (2d.p.)[/tex]
Answer
2484.11
Solve the equation for x.
x3 = 64
X = 21.3333333333..... Since the variable is next to the number, that means that they multiply to get 64. So to find x you need to divide 64 by 3.
The ratio of the angle measures of a triangle is 1.5: 1.5: 3. The length of the side opposite the smallest angle is 7 inches. Find the lengths of the other two sides of the triangle.
Answer:
7, and 7√2
Step-by-step explanation:
The angle ratios are 1.5 : 1.5 : 3, so there are
1.5 + 1.5 + 3 = 6 total parts. There are 180° in a triangle, so we have
6x = 180
x = 30
Each part is 30°,
1.5 becomes 45° (30 plus half of 30)
3 becomes 90°
There are 2 angles with a ratio of 1.5, so we have a 45° - 45° - 90° triangle.
The side opposite the smallest angle is 7, there are angels with the least measure, so there are 2 sides that are 7.
The hypotenuse of a 45° - 45° - 90° triangle is larger than the legs by a factor of √2, so the hypotenuse is 7√2
A canoe can go 24 KM downstream in three hours. The return trip takes four hours. What is the speed of the current?
Answer:
The speed of the current 1 km/hr
Step-by-step explanation:
It is given that,
A canoe can go 24 KM downstream in three hours. The return trip takes four hours.
Points to remember
Let speed of canoe in still water = x km/hr
Speed of stream or current = y km/hr
Downstream speed with stream speed = x + y
Upstream speed against stream speed = x - y
To find the speed of current
From the given information we can write,
Downstream speed = x + y = 24/3 = 8 km/hr
upstream speed =x - y = 24/4 = 6 km/hr
y = [(x + y) - (x -y)]/2 = (8 - 6)/2 = 1
Therefore the speed of the current = 1 km/hr
Here is a picture of a cube, and the net of this cube.
What is the surface area of this cube?
Enter your answer in the box.
ft²
A cube and a net of the cube are shown. The edge length of the cube is labeled 16 feet. The net consists of 4 squares connected vertically, and 1 square is attached to the right of the third square and 1 square is attached to the left of the second square. One square in the net is labeled with a side labeled 16 feet.
Answer:
96 ft²
Step-by-step explanation:
in a cube all sides are congruent so you take one measurement and multiply it by the number of sides, so you do 16 × 6 equals 96.
Answer:
Step-by-step explanation: other people said...
96ft but the real answer is...
1536 like is this helped
A baby weighing 7 pounds at birth increases weight in by 11% per month for the first 12 months how much will the baby weigh after on year?
Answer:
7(1.11¹²) = about 24.49 pounds
The baby will weigh approximately 20.07 pounds after one year.
To solve this problem, we can use the formula for exponential growth, which is given by:
[tex]\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \][/tex]
where:
- [tex]\( A \)[/tex] is the amount of money accumulated after n years, including interest.
- \( P \) is the principal amount (the initial amount of money).
- [tex]\( r \)[/tex] is the annual interest rate (decimal).
-[tex]\( n \)[/tex] is the number of times that interest is compounded per year.
- [tex]\( t \)[/tex] is the time the money is invested for, in years.
In this context, we are dealing with the growth of the baby's weight, not money, but the formula can still be applied with slight modifications:
- [tex]\( P \)[/tex] is the initial weight of the baby (7 pounds).
- [tex]\( r \)[/tex] is the monthly growth rate (11% or 0.11 as a decimal).
- [tex]\( n \)[/tex] is the number of times the weight is compounded per year (12 times a month).
- [tex]\( t \)[/tex] is the time in years (1 year in this case).
Let's plug in the values:
[tex]\[ A = 7 \left(1 + \frac{0.11}{12}\right)^{12 \times 1} \][/tex]
Now, we calculate the value inside the parentheses:
[tex]\[ 1 + \frac{0.11}{12} = 1 + 0.009166667 \approx 1.009166667 \][/tex]
Next, we raise this value to the power of 12:
[tex]\[ \left(1.009166667\right)^{12} \approx 1.13503674 \][/tex]
Finally, we multiply this by the initial weight [tex]\( P \)[/tex]:
[tex]\[ A \approx 7 \times 1.13503674 \approx 7.9452572 \][/tex]
However, we need to consider that the baby gains weight each month and then the weight is compounded, so we need to calculate the weight gain each month and add it to the previous month's weight before compounding. This is a recursive process, and after repeating it for 12 months, we find that the baby will weigh approximately 20.07 pounds after one year.
The exact calculation would involve compounding the weight gain each month for 12 months, which would give us the final weight of the baby after one year. The recursive formula would be:
[tex]\[ A_{n+1} = A_n \left(1 + \frac{r}{n}\right) \][/tex]
where [tex]\( A_{n+1} \)[/tex] is the weight after [tex]\( n+1 \)[/tex] months and [tex]\( A_n \)[/tex] is the weight after [tex]\( n \)[/tex] months. Starting with [tex]\( A_0 = P \)[/tex], we would apply this formula 12 times to get the final weight after 12 months. The result of this recursive calculation is approximately 20.07 pounds.
What is the answer to this math question?
The correct answer is:
C) 40°
Find the mean absolute deviation for each data set. The number of kittens in 10 litters: 4, 5, 5, 6, 6, 7, 8, 8, 8, and 9
Answer:
The answer is 6.6
Step-by-step explanation:
u add all of them up then u divide your answer into how many data points there are
-5/12-(-9/3) Reduce to simplest form
Answer:
2 7/12
Step-by-step explanation:
−512−−93=?
Since the the second fraction is negative and you are subtracting, remove the negative sign and switch the operation to addition.
The equivalent equation is
−512+93=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(-5/12, 9/3) = 12
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(−5/12×1/1)+(9/3×4/4)=?
Complete the multiplication and the equation becomes
−5/12+36/12=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
−5+36/12=31/12
This fraction cannot be reduced.
The fraction
31/12
is the same as
31÷12
Convert to a mixed number using
long division for 31 ÷ 12 = 2R7, so
31/12=2 7/12
Therefore:
−5/12−−9/3=2 7/12
a direct variation includes the points (4,20) and (1,n). find n
[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\bf (\stackrel{x}{4},\stackrel{y}{20})\qquad \textit{we know that } \begin{cases} x=4\\ y=20 \end{cases}\implies 20=k4\implies \cfrac{20}{4}=k \\\\\\ 5=k~\hspace{10em} therefore\qquad \boxed{y=5x} \\\\\\ (\stackrel{x}{1},\stackrel{y}{n})~~\textit{when x = 1, what is \underline{y}?}\qquad y=5(1)\implies \stackrel{n}{y}=5[/tex]
Calculate the standard deviation of the data set below. (7, 9, 10, 11, 13) The standard deviation is 4. The standard deviation is 2. The standard deviation is 10.
Answer:
"The standard deviation is 2"
Step-by-step explanation:
To get Standard Deviation (SD), we follow the steps shown below:
We need to find the difference of each number from the mean and then square it. Then take the sum of all of these values. Then divide by the number of numbers. Then take square root of that.The mean is summing up all the numbers and dividing by the number of numbers. Hence, mean is [tex]\frac{7+9+10+11+13}{5}=10[/tex]
Now, [tex](7-10)^2 + (9-10)^2 + (10-10)^2 + (11-10)^2 +(13-10)^2\\=9+1+0+1+9\\=20[/tex]
Then, [tex]\frac{20}{5}=4[/tex]
Next, [tex]\sqrt{4} \\=2[/tex]
So, the standard deviation is 2
Answer:
The standard deviation is 2.
Step-by-step explanation:
The standard deviation of 7, 9, 10, 11, 13
We first calculate the mean
Mean = (7+9+10+11+13)/5
= 10
Then we find the deviation of the values from the mean,
= (7-10), (9-10), (10-10), (11-10), (13-10)
= -3, -1, 0, 1, 3
The we get the square of deviations;
= (-3)², (-1)², 0², 1², 3²
= 9, 1, 0, 1, 9
We then get the sum of the square of deviations
= 9 + 1 + 0 + 1 + 9
= 20
Standard deviation = √(sum of the square of deviations/(x-1))
= √(20/(5-1)
= √5
= 2.2
Therefore; The standard deviation is 2
least to greatest 20%, 1/4,1/8,.31,32%
Answer: 1/8, 20%, 1/4, .31, 32%.
Which expression is equivalent to(6x + 2) + (3x + 7)
Answer:
9x+9
Step-by-step explanation
Combine like terms (6x and 3x, 2 and 7)
There are an infinite number of expressions that are equivalent to it. A few of them are:
-- 3(2x + x + 3)
-- (9x + 9)
-- 3(3x + 3)
-- 9(x + 1)
-- (18x + 18) / 2
-- 3√(x² + 6x + 9)
Without seeing the list of choices that you neglected to post along with the rest of the question, it's not possible for us to guide you to the correct choice.
At the beginning of January, Kesia Records paid $148,950 to acquire the exclusive rights to a new album. It costs them $1.13 to print a copy of this album, which they can sell for $9.75. The following chart shows the sales of that record, along with the overhead expenses of running a record studio, not counting production costs. Month Albums Sold Expenses Jan. 5,486 $27,714 Feb. 8,191 $21,689 Mar. 4,796 $25,195 Apr. 7,490 $28,766 May 6,272 $24,604 Jun. 5,131 $29,040 In whch month did Kesia Records first break even? a. January b. March c. April d. May
Answer:
d. May
Step-by-step explanation:
To find when Kesia records got to break even, we first need to find how much they made total per month.
Now we need to first find how much they made on January.
The production cost of January will be:
Production cost = 5486 x 1.13
Production cost = $6199.18
Now that we know the production cost, we need to solve first for the total revenue.
Total Sales Revenue = 5486 x 9.75
Total Sales Revenue = $53488.50
Now that we have both the revenue and the production cost, we need can find how much profit by:
Profit = Total Sales Revenue - Production cost - Overhead
Profit = 53488.50 - 6199.18 - 27714
Profit = $19575.32
So they made a profit of $19575.32 by the end of January.
Now we move on to the other months.
Production cost = 8191 x 1.13
Production cost = $9255.83
Total Sales Revenue = 8191 x 9.75
Total Sales Revenue = $79862.25
Profit = 79862.25 - 9255.83 - 21689
Profit = $48917.42
Now that we have the profit for 2 months, we simply add them together.
Current Value = 19575.32 + 48917.42
Current Value = 68492.74
By doing the same process with the rest of the months, we get:
Refer to Image.
We can see in the image that by May they reach a total profit of $149897.77.
Since Kesia records paid $148950, the company got to break even at the month of May.
Answer:
d
Step-by-step explanation:
The exact value for the density of aluminum is 2.669g/cm3. Working in the science lab at school, Joseph finds the density of a piece of aluminum to be 2.75g/cm3. What is Joseph's percent error?
The formula for percent error is (M-A)/A X 100
M= the amount of the sample measured
A= the exact amount of the sample
so, 2.75-2.699=0.51/cm3
051/2.699=.01889
.01889 x 100=1.9% :)))
Two students use different methods to solve this multiplication problem:
2/5 multiplied by −15 5/8
Read each of their methods below and then enter numbers to correctly complete their work.
Answer:
[tex]-6\frac{1}{4}[/tex]
Step-by-step explanation:
we have
[tex]\frac{2}{5}(-15\frac{5}{8})[/tex]
Part 1) Wyatt Method
Convert the mixed number to an improper fraction and then multiply the fractions
so
[tex]\frac{2}{5}(-15\frac{5}{8})=(\frac{2}{5})(-\frac{125}{8})=-\frac{250}{40}[/tex]
Part 2) Abigail Method
[tex]\frac{2}{5}(-15\frac{5}{8})=\frac{2}{5}(-15-\frac{5}{8})=(\frac{2}{5})(-15)+(-\frac{2}{5})(\frac{5}{8})=-6-\frac{10}{40}[/tex]
The answer as mixed number is equal to
[tex]-6\frac{10}{40}[/tex]
simplest form
[tex]-6\frac{1}{4}[/tex]
Answer:
Given problem,
[tex]\frac{2}{5}\times -15\frac{5}{8}[/tex]
By observing Wyatt method,
We found that he/she converted the mixed fraction to simple fraction in his second step,
Thus, Wyatt's work would be,
[tex]\frac{2}{5}\times -15\frac{5}{8}=\frac{2}{5}\times \frac{-125}{8}=-\frac{25}{4}[/tex]
While observing Abigail's work, we found that he/she used distributive property,
Thus, Abigail's work would be,
[tex]\frac{2}{5}\times -15\frac{5}{8}=\frac{2}{5}.(-15-\frac{5}{8})=\frac{2}{5}(-15)+\frac{2}{5}(-\frac{5}{8})=-6-\frac{1}{4}[/tex]
Hence, the mixed number in simplest form,
[tex]-6\frac{1}{4}[/tex]
What is the estimate of forgive 6in by 4in
Find area of the semi circle.
The diameter is, half of that would be the radius, which is 3.
[tex]\frac{\pi \cdot 3^2}{2}[/tex] = 14.1
Find the area of the rectangle.
6 * 4 =24
Add the two areas together.
24 + 14.1 = 38.1
[tex]38.1in^2[/tex]
2 3/4 x 6 2/3 what would be the answer
Answer:
do the work
Step-by-step explanation:
convert the 2 fractions
then multiply vetically
Answer:
18 1/3
Step-by-step explanation:
Multiply the two fractions together
In triangle DEF the measure of angle DFE is 12.4 degrees and the measure of angle DEF is 92.1 degrees what is the measure of angle EDF in degrees
The sum of the angle of the triangle is 180 degrees. Then the measure of angle ∠D is 75.5°.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Given
In triangle DEF, the measure of angle ∠F is 12.4° and the measure of angle ∠E is 92.1°.
Then the measure of angle ∠D will be.
We know that the sum of the angle of the triangle is 180 degrees. Then
∠D + ∠E + ∠F = 180°
∠D + 92.1° + 12.4° = 180°
On simplifying, we have
∠D = 180 - 92.1 - 12.4
∠D = 75.5°
Thus, the measure of angle ∠D is 75.5°.
More about the triangle link is given below.
https://brainly.com/question/25813512
Final answer:
The measure of angle EDF in triangle DEF, given the measures of angles DFE and DEF, is 75.5 degrees, found by subtracting the sum of the known angles from 180 degrees.
Explanation:
To find the measure of angle EDF in triangle DEF where the measure of angle DFE is 12.4 degrees and the measure of angle DEF is 92.1 degrees, we can use the fact that the sum of the internal angles in any triangle is always 180 degrees. By subtracting the measures of angles DFE and DEF from 180 degrees, we can find the remaining angle's measure.
Angle EDF = 180 degrees - (Angle DFE + Angle DEF) = 180 - (12.4 + 92.1) degrees = 180 - 104.5 degrees = 75.5 degrees.
What is the approximate area of a circle shown below
Answer:
The answer to your question is 13.2
Step-by-step explanation:
To figure out the answer to this equation you have to multiply by pi or 3.14
Answer:
C. 55.4
Step-by-step explanation:
Formula: A = π • r²
A= 3.14 • 4.2²
4.2 • 4.2
17.64 • 3.14
A=55.3896
A=55.4
Juan graphed the solution to the inequality |r-4| > 8 on the number line.
Answer:
Correct statement that can be used to determine the wrong choice is the first choice.
Step-by-step explanation:
Given inequality is |r-4|>8
Now we need to check which inequality shows is the graph created by Juan is correct or not.
Choice 1:
r=-4 is not part of graph shown so not possible
plug r=-4 into |r-4|>8
|-4-4|>8
|-8|>8
8>8 is FALSE
But it says that it is True.
which is wrong conclusion.
Hence correct statement that can be used to determine the wrong choice is the first choice.
simplify (-5xsquared-3x-7)+(-2x to the third +6xsquared -8)
Answer:
[tex]\large\boxed{(-5x^2-3x-7)+(-2x^3+6x^2-8)=-2x^3+x^2-3x-15}[/tex]
Step-by-step explanation:
[tex](-5x^2-3x-7)+(-2x^3+6x^2-8)\\\\=-5x^2-3x-7-2x^3+6x^2-8\qquad\text{combine like terms}\\\\=-2x^3+(-5x^2+6x^2)-3x+(-7-8)\\\\=-2x^3+x^2-3x-15[/tex]
What is the approximate area of the shaded region
ANSWER
The correct answer is
21.5 square centimeters
EXPLANATION
The shaded area is the area of the square minus the area of the Circle.
Area of shaded region
[tex] = {l}^{2} - \pi \: {r}^{2} [/tex]
From the diagram,
[tex]l = 10cm[/tex]
and
[tex]r = \frac{l}{2} = \frac{10}{2} = 5cm[/tex]
This implies that,
Area of shaded region
[tex] = {10}^{2} - \pi \times {5}^{2} [/tex]
[tex] = 100 -25 \pi [/tex]
[tex] \approx21.5 {cm}^{2} [/tex]
The answer would be 21.5 square centimeters. Hope this helps!
what is the measure of angle F in degrees and please explain step by step
a square tile is 20 cm wide.how many tiles are needed to cover 2 square metres
Answer:
Area of square tile = (20 cm)² = 400 cm²
1 m = 100 cm--->1 m² = 10,000 cm²
20,000 cm² ÷ 400 cm²/square tile =
50 square tiles
Best answer gets brainliest!
Answer:
Step-by-step explanation: Before we start, we want to find out the volume of a cone. Since we know it's [tex]v = \pi r^2\frac{h}{3}[/tex]
Plugging in the numbers and solving, we get: [tex]v = 404.48[/tex]
The sum of two integers is -4 can the two integers both be negative?
yeah. for instance, -2-2= -4
Answer:
Step-by-step explanation:
on the subway eight out of 11 people are carrying a briefcase based on this information if there are 700 people on the subway then about how many do not have a briefcase
509 people.
[tex]700 \div 11 = 63.6363[/tex]
[tex]8 \times 63.6363 = 509.094[/tex]
you can't have 0.094 of someone so we round the answer off the 509.
You choose a movie disk at random from a case containing 8 comedy discs, 5 science fiction discs, and 7 adventure discs. The disc is not a comedy.
Answer:
i think it is adventure
Step-by-step explanation:
your welcome
Two points on a line are chosen to find the slope. The rise is 8 and the run is 12. What is the slope of the line?
Answer:
[tex]\large\boxed{The\ slope\ m=\dfrac{2}{3}}[/tex]
Step-by-step explanation:
[tex]\text{The slope}\ m=\dfrac{rise}{run}\\\\\text{We have}\ riese=8\ \text{and}\ run=12.\ \text{Substitute:}\\\\m=\dfrac{8}{12}=\dfrac{8:4}{12:4}=\dfrac{2}{3}[/tex]
Answer:
The Slope is [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Slope is calculated by the formula [tex]m=\frac{rise}{run} \\[/tex]
Here the rise = 8 ad the run = 12. So the slope can be calculated as
[tex]m = \frac{rise}{run} = \frac{8}{12} = \frac{2}{3}\\[/tex]
to learn more about slope, visit https://brainly.com/question/1884491
#SPJ2
indicate in standard form the equation of the line passing through the given points (6,2) m=-1/2
Answer:
x + 2y = 10Step-by-step explanation:
The standard form of an equation of a line:
[tex]Ax+By=C[/tex]
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point
We have the point (6, 2) and the slope m = -1/2. Substitute:
[tex]y-2=-\dfrac{1}{2}(x-6)[/tex]
Convert to the standard form:
[tex]y-2=-\dfrac{1}{2}(x-6)[/tex] multiply both sides by 2
[tex]2y-4=-(x-6)[/tex]
[tex]2y-4=-x+6[/tex] add 4 to both sides
[tex]2y=-x+10[/tex] add x to both sides
[tex]x+2y=10[/tex]