Answers
Answer
68.4%
Step-by-step explanation
The volume of a cylinder is calculated as follows:
\(V=\pi r^2h\)where r is the radius and h is the height of the cylinder.
In the case of cylinder A, its radius is r = 5 ft (= 10/2) and its height is h = 14 ft. Then, its volume is:
\(\begin{gathered} V_A=\pi\cdot5^2\cdot14 \\ V_A=350\pi\text{ ft}^3 \end{gathered}\)In the case of cylinder B, its radius is r = 8 ft (= 16/2) and its height is h = 8 ft. Then, its volume is:
\(\begin{gathered} V_B=\pi\cdot8^2\cdot8 \\ V_B=512\pi\text{ ft}^3 \end{gathered}\)After the pumping is completed all the liquid in cylinder A, which was full, is placed in cylinder B. If the volume of cylinder B represents 100%, then we need to find what percent, x, represents the volume of cylinder A. We can do this with the help of the next proportion:
\(\frac{512\pi\text{ ft}^3}{350\pi\text{ ft}^3}=\frac{100\text{ \%}}{x\text{ \%}}\)Solving for x:
\(\begin{gathered} 512\pi\cdot x=100\cdot350\pi \\ x=\frac{100\cdot350\pi}{512\pi} \\ x\approx68.4\text{ \%} \end{gathered}\)Related Questions
AABC is dilated by a factor of 2 to produce ▲A'B'C'. Which statement is not true? 62⁰ 34 16 A 28° 30
Answers
The statement that is not true is (a) A = 74 degrees
How to determine which statement is not true?From the question, we have the following parameters that can be used in our computation:
The dilation of ABC by a scale factor of 2
This means that
Scale factor = 2
The general rule of dilation is that
Corresponding sides are similar i..e they have the same ratioCorresponding angles are equalusing the above as a guide, we have the following:
AC = 2 * 5 = 10
C = 53 degrees
BC = 2 * 3 = 6
A = 37 degrees
Hence, the statement that is not true is (a) A = 74 degrees
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Are corresponding g angels equal
Answers
RECAP ACTIVITY 1: Directions: Identify the angle with the greatest measure. 2. 1. K 2.3 km L 19 in. 5.8 km 7.6 km B 14 in. Z M 16 in.
Answers
The triangle angle side inequality theorem indicates that the angles with the greatest measure are;
1. ∠KLM
2. ∠BZJ
What is the triangle angle side inequality theorem?The triangle angle side inequality theorem states that the sides of a triangle facing two angles that are unequal are also unequal, with the largest side facing the largest angle.
The possible figure in the question consists of two triangles with side lengths;
1. KL = 2.3 km, LM = 5.8 km, and KM = 7.6 km
The angle side inequality theorem indicates that the side with the longest length faces the angle with the largest measure, therefore;
The angle with the greatest measure in the triangle KLM is the angle ∠KLM, which faces the side KM
2. The lengths of the sides of the triangle are;
BJ = 19 in, BZ = 14 in, and JZ = 16 in
The triangle inequality theorem indicates that the angle with the greatest measure is the angle facing the side BJ, which is the angle ∠BZJ
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What does x equal in these? They're all different. U get lots of points. A. 5(x-6) + 3x = 3/4(2x - 8)
Answers
Answer:
5(x-6) + 3x = 3/4(2x - 8)
X=6
Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1. She recognizes that the expression will be easier to simplify if she can combine 70 and 30 before she works with the other numbers. Which should she do first?
She can use the associative property to rewrite the expression as (70 + 30) + 12.8 + 6.1.
She can use the associative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.
She can use the commutative property to rewrite the expression as (70 + 30) + 12.8 + 6.1.
She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.
Answers
Option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1.
The number expression is:
= (70 + 12.8 + 30) + 6.1
As we know from the commutative property
a + b = b + a
Applying commutative property in the number expression:
= (70 + 30+ 12.8) + 6.1
She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.
Thus, option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.
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Given that f(x) = |x|, graph the function g(x) = -f(x + 4).
Answers
Conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.
To graph the function g( x) = - f( x 4), we need to start with the graph of the function f( x) = | x| and also apply the given metamorphoses. The function f( x) = | x| represents the absolute value function, which is a V- shaped graph symmetric with respect to the y- axis.
First, we shift the graph of f( x) = | x| horizontally by 4 units to the left by replacing x with( x 4). This results in f( x 4). Next, we multiply the entire function by-1, which reflects the graph vertically. This gives us- f( x 4). Combining these metamorphoses, we've the function g( x) = - f( x 4). To graph g( x), we can compass a many points and also draw the graph by connecting them.
Let's start with the original graph of f( x) = | x| and apply the metamorphoses
For f( x) x = -3,-2,-1, 0, 1, 2, 3
f( x) = 3, 2, 1, 0, 1, 2, 3 For
g( x) = - f( x 4) x = -7,-6,-5,-4,-3,-2,-1
g( x) = -3,-2,-1, 0,-1,-2,-3
conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.
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Plz help plz help I need help
Answers
Answer:
1. X = 4
2. Y = 3
3. Y = 4 or Y = log>6 (1296)
4. X = 4
5. X = 3
6. X = 2
7. X = 2
8. X = 5
9. X = 3
sorry if I can get the letters right I couldn’t really see it well .
A real estate agent has 10 properties that she shows. She feels that there’s a 50% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute probability of selling no more than six properties in one week
Answers
Answer:
Step-by-step explanation:
According to the condition, for any single property the probability not selling it during a week is 100% - 40% = 1 - 0.4 = 0.6.
The probability not selling any one of 13 properties during a week is 0.6%5E13.
The probability to sell at least 1 property in one week is the COMPLEMENT to it
what of the following is a true statement based on graph shown?
1. R < Q
2. P > Q
3. R > S
4. R > Q
Oh and the last one number four it has a line under > ok
Answers
Answer:
Answer is the last option
when doing a regression analysis, we calculate a slope of 5 and an intercept of 2, which of the following is our regression equation?
Answers
The regression equation is ∝=y-βx where slope is 5 and intercept is 2.
The slope indicates the steepness of a line and the intercept indicates the location where it intersects an axis. The slope and the intercept define the linear relationship between two variables, and can be used to estimate an average rate of change.
Mean number of years of schooling: x=17
Mean monthly income: y=2750
Slope of the regression equation: β=650
The intercept is,
∝=y-βx
=2750−650x17
=8300
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Tell whether the angles are complementary or supplementary. Then find the value of x.
Answers
The sum of complementary angles is 90 degrees while the sum of supplementary angles is 180 degrees,
7) This is a right angle, the sum of the angles will be complementary (sums up to 90)
65 + 5x = 90
5x = 90 - 65
5x = 25
x = 25/5
x = 5
8) Since the angles form a linear pair, hence the sum is supplementary,
2x + 6x + 20 = 180
8x = 180 - 20
8x = 160
x = 160/8
x = 20
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winter.
School district
Number of snow
days
District
201
4
snow days
Show Calculator
District
211
8
District
221
3
District
231
6
If the mean of the data set is 5 snow days, find the number of snow days in District 241.
District
241
?
Answers
The number of snow days in District 241 is 4 given that the mean of the data set is 5. This can be obtained by using formula for mean of a data and simplifying the obtained equation for the required value.
Find the number of snow days in District 241:The formula of mean of a data is given by,
⇒ Mean = sum of all items/total number of items
Here in the question it is given that,
mean of the data set is 5 snow days/school disctrict/district 201/district 211/district 221/district 231/district 241/
/no. of snow days/ 4 / 8 / 3 / 6 / ? /
We have to find the number of snow days in District 241.
Let the number of snow days in District 241 be x.
By using formula of mean of a data we can write that,
Mean = (4 + 8 + 3 + 6 + x)/5
5 = (21 + x)/5
25 = 21 + x
x = 4 snow days
Hence the number of snow days in District 241 is 4 given that the mean of the data set is 5.
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Evaluate fog and go f and use the results to determine if g is the inverse function of f.
Answers
If \(f,g\) are inverses of one another, then
\(f\circ g(x) = g\circ f(x) = x\)
Given \(f(x)=x^2-1\) and \(g(x)=\sqrt{x-8}\), then
\(f\circ g (x) = f(g(x)) = f(\sqrt{x-8}) = \left(\sqrt{x-8}\right)^2 - 1 = \boxed{x - 9} \neq x\)
so right away we know \(f\) and \(g\) are not inverses.
In the other direction, we come to the same conclusion.
\(g\circ f(x) = g(f(x)) = g(x^2 - 1) = \sqrt{(x^2-1)-9} = \boxed{\sqrt{x^2 - 9}} \neq x\)
Given the table below, what is the x-intercept of the linear function?
Answers
Answer:
-6
Step-by-step explanation:
answer this please!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
200
Step-by-step explanation:
\(a^{2}\) + \(b^{2}\) = \(c^{2}\)
\(120^{2}\) + \(160^{2}\) = \(c^{2}\)
14400 + 25600 = \(c^{2}\)
40000 = \(c^{2}\)
\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)
200 = c
Jesus love you.
Ghana van company invested P45 700 for two years at a rate of 12%per annum compounded for quarter year. Work out the compound interest over the two years
Answers
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$45700\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &2 \end{cases}\)
\(A = 45700\left(1+\frac{0.12}{4}\right)^{4\cdot 2}\implies A=45700(1.03)^8 \implies A \approx 57891.39 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{earned interest}}{57891.39~~ - ~~45700} ~~ \approx ~~ \text{\LARGE 12191.39}\)
Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) = 7x ^ 2 + 2x + 3 at x = 1
Answers
Answer:
16
Step-by-step explanation:
Step 1: Write down the function \(f(x)=7x^2+2x+3.\)
Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)
Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)
Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)
Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)
Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)
Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)
Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)
Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)
The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)
Determine whether the following procedure is a binomial experiment.
If it is not, explain why. Drawing 5 marbles from a bag with 10 red, 8 green and 12 yellow marbles without replacement and finding out how many of these five are green.
a. Yes, this is a binomial experiment.
b. No, the outcomes cannot be classified into two categories.
c. No, the trials are not independent
Answers
Answer:
C. The trails are not independent.
The probability of drawing one marble will not be independent of others thus option (c) is correct.
What is probability?The probability of an event occurring is defined by probability.
Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.
As per the given,
Drawing 5 marbles from a bag with 10 red, 8 green, and 12 yellow marbles without replacement.
In without replacement, the remaining balls in each draw will go to be decreased thus they will be dependent events so binomial distribution will not be applied.
Hence "One marble's likelihood of being drawn won't be independent of the other marbles".
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Write an equation of the line with a slope -1/2 and a y-intercept of 1
Answers
Answer: y = -0.5x +1
Step-by-step explanation:
find the area and circumference of a circle with a radius 5 m. use the value 3.14 for radius, and do not round your answers. Be sure to include the correct units in your answers.
Answers
Area and circumference of the circle are 78.5 m² and 31.4 m respectively.
What is a circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that, a circle have a radius 5 m
Area of a circle = π × radius²
Circumference = 2π×radius
Area = 3.14 × 5² = 3.14 × 25 = 78.5 m²
Circumference = 3,14 × 2 × 5 = 31.4 m
Hence, area and circumference of the circle are 78.5 m² and 31.4 m respectively.
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yes or no
is the following a function
help!
Answers
Answer:
Yes
Step-by-step explanation:
This is a function because each input has an output
Forest habitat is cleared to build a new shopping complex. what does this scenario represent? a loss of biodiversity due to a climate change a gain in biodiversity due to an invasive species a loss of biodiversity due to human activity a loss in biodiversity due to a catastrophic event
Answers
A loss of biodiversity due to human activity.
Answer:
C. A loss of biodiversity due to human activity
Step-by-step explanation:
Kiara and Donovon attend different middle schools. They both went to their schools’ winter carnivals. Kiara paid a $5 entrance fee and bought several tickets costing $0.75 each for games and rides. Donovon paid a $7 entrance fee and bought several tickets costing $0.50 each for games and rides. How many tickets, , must Kiara and Donovan each buy in order for the cost of attending their school carnivals to be the same?
Answers
Using linear functions, it is found that they have to buy 8 tickets for the costs to be the same.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For the functions in this problem, we consider that:
The entrance fee is the intercept.The cost for carnivals(games/rides) is the slope.Hence the cost functions for Kiara and Donovon are given, respectively, by:
K(x) = 5 + 0.75x.D(x) = 7 + 0.5x.The costs will be the same when:
K(x) = D(x)
5 + 0.75x = 7 + 0.5x.
0.25x = 2
x = 2/0.25
x = 8.
They have to buy 8 tickets for the costs to be the same.
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A pet store increases the price of a bag of dog food by 5%
If the increase in price is $2.00, what is the new price for dog food?
Answers
Answer:
$42.00
Step-by-step explanation:
We can represent the given information as a ratio:
% of original price : price
5% : $2.00
Then, we can multiply both sides of this ratio by 20 (or 100% / 5%) to get 100% of the original price, which IS the original price.
5% : $2.00
↓ × 20 ↓ × 20
100% : $40.00
Now that we know the original price, we can add $2.00 to get the new price.
$40.00 + $2.00 = $42.00
A rectangle has a length of 15 cm and a width of 11 cm. What is its perimeter?
54 cm
52 cm
165 cm
26 cm
Answers
Answer:
52 cm
Step-by-step explanation:
perimeter = 2(length) + 2(width) for a rectangle.
2(15)+2(11)=52 cm
Answer:
52
Step-by-step explanation:
i got 100% on the quiz i got all the answers
3 1/2 inches so what is the area of this circle?
Answers
Answer:
19.6 in²
Step-by-step explanation:
area of circle = π r²
= π (3 1/2)²
= π (5/2)²
= π 25/4
= 22/7 x 25/4
= 275/14
=19.6 in²
The functions f(x) = 2x and g(x) = 2-x+ 3 are combined using division to get function h(x).
Which represents the combined function?
Oh(x) = 22x + 3, x20
O h(x) = 22% -3, 20
Oh(x) = 22x + 3
X E all real numbers
Oh(x) = 22x – 3 x € all real numbers
Answers
Answer: the answer is not C
Step-by-step explanation:
The function that represents the combined function is h(x) = 2x/(2x + 3).
where x ∈ all real numbers.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = 2x
g(x) = 2x + 3
Now,
h(x) = f(x) / g(x)
h(x) = 2x / (2x + 3)
Where x ∈ all real numbers
Thus,
The combined function is h(x) = 2x / (2x + 3)
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Q. Pick out the most effective word from among the given words to fill in the blanks to make the sentence meaningfully complete.
On ____________ of his age he is ineligible for the examination.
1) Reason
2) Basis
3) Account
4) Purpose
Answers
Answer:4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
3(5)+2(w-1)=
Cual es el valor de la expresión algebraica?
Answers
Answer:
distribute
2(w-1)
a(b-c)=ab-ac
(3)(5)+(2)(w)+(2)(−1)
=15+2w+−2
combine like terms
15+2w+−2
=(2w)+(15+−2)
=
2w+13Step-by-step explanation:
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pls help!!
Q:In a random sample, 8 students were asked how long it takes them to get ready for school in the morning. The times are listed below, compute the following:
22 29 21 24 27 28 25 36
Range:
Variance:
Std Deviation:
Answers
The required statistical parameters has been computed as follows:
Range = 15.
Standard deviation, SD = 4.4441.
Variance = 19.75.
How to calculate the range?Mathematically, the range of a data set can be calculated by using this formula;
Range = Highest number - Lowest number
Range = 36 - 21
Range = 15.
How to calculate the mean?Mathematically, the mean for these data sets would be calculated by using this formula:
Mean = [F(x)]/n
F(x) = 22 + 29 + 21 + 24 + 27 + 28 + 25 + 36
F(x) = 212.
Mean = 212/8
Mean = 26.5
Next, we would calculate the standard deviation by using this formula:
SD = √(1/n × ∑(xi - u₁)²)
SD = √(1/5 × ∑(22 - 26.5)² + 1/5 × ∑(29 - 26.5)² + 1/5 × ∑(21 - 26.5)² + 1/5 × ∑(24 - 26.5)² + 1/5 × ∑(27 - 26.5)² + 1/5 × ∑(28 - 26.5)² + 1/5 × ∑(25 - 26.5)² + + 1/5 × ∑(36 - 26.5)²)
Standard deviation, SD = 4.4441.
In Statistics, the standard deviation of a data sample is the square root of the variance and this is given by this mathematical expression:
Variance = δ²
Variance = 4.4441²
Variance = 19.75.
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