The Solution:
Given that the volume of the cylindrical tank is:
\(\begin{gathered} V=\pi\times\text{ square of radius}\times\text{ length of the tank} \\ V=\pi r^2h \end{gathered}\)In this case,
\(\begin{gathered} \text{ V=volume of the tank=?} \\ r=\text{ radius=12 ft} \\ h=\text{ length of the tank=20 ft} \end{gathered}\)Substituting these values in the above formula, we get
\(V=20\times12^2\times\pi=9047.787\approx9047.8\text{ cubic feet}\)Therefore, the correct answer is approximately 9047.8 cubic feet.
Help me please!!!!
Adrienne and Suki simplified the expression -(8) - (-6). Their work is shown
below. *
Adrienne's Work
Suki's Work
-8-(-6)= -14
-8-(-6)=-2
A. Whose answer is correct?
B. Explain the error the other person made.
Your answer
Answer:
im pretty sure it would be -8-(-6)=-2 for the first one
Which terms describe this shape? Choose all that apply.
parallelogram
rhombus
square
rectangle
Submit
Answer:
parallelogram, square, rectangle, rhombus
(all)
Step-by-step explanation:
A square is a shape that has four sides equal in length
the little dash-marks on multiple sides are to show that the two sides are of the same dimension/length.
So, if all four sides are marked as equivalent, this must be a square.
And, a parallelogram is a shape with two pairs of parallel sides, meaning that a square/this shape is a parallelogram
However, a square is also a rectangle, because it is a parallelogram with four 90-degrees (interior) angles [which is just a formal definition for what you know to be a rectangle].
AND a square is a rhombus because it has four sides of equal length
a square is a rectangle; a rectangle is a parallelogram
a square is a rhombus;
a rhombus is a parallelogram; a square is a parallelogram
(and a square is a square)
The stock market rose and fell over a period of five days: 9. 8, -3. 5, 20. 5, 8. 6, -7. 7. Overall what was the net change in the market?
The net change in the market over the five-day period was -11.6.
The stock market rose and fell over a period of five days: 9.8, -3.5, 20.5, 8.6, -7.7. To calculate the net change in the market, we need to add up all of the changes and then divide by the number of days.
The net change in the market is the sum of the changes divided by 5. The changes are:9.8-3.5 = 6.320.5-9.8 = 10.38.6-20.5 = -11.9-7.7-8.6 = -16.3Therefore, the sum of the changes is 6.3+10.3-11.9-16.3 = -11.6. So the net change in the market over the five-day period was -11.6.
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Let W be the set of all 1st degree polynomials (or less) such that p=p^2. Which statement is TRUE about W? A. W is closed under scalar multiplication B. W doesn't contain the zero vector C. W is NOT closed under+ D. W is empty
There are polynomials that satisfy the condition p = p^2, and W is not empty. Hence, statement D is correct answer,
To analyze the set W, which consists of all 1st degree polynomials (or less) such that p = p^2, we will consider each statement and determine its validity.
Statement A: W is closed under scalar multiplication.
For a set to be closed under scalar multiplication, multiplying any element of the set by a scalar should result in another element of the set. In this case, let's consider a polynomial p = ax + b, where a and b are constants.
To test the closure under scalar multiplication, we need to multiply p by a scalar k:
kp = k(ax + b) = kax + kb
Notice that kp is still a 1st degree polynomial (or less) because the highest power of x in the resulting polynomial is 1. Therefore, W is closed under scalar multiplication. This makes statement A true.
Statement B: W doesn't contain the zero vector.
The zero vector in this case would be the polynomial p = 0. However, if we substitute p = 0 into the equation p = p^2, we get:
0 = 0^2
This equation is true for all values of x, indicating that the zero vector (p = 0) satisfies the condition p = p^2. Therefore, W does contain the zero vector. Hence, statement B is false.
Statement C: W is NOT closed under addition.
For a set to be closed under addition, the sum of any two elements in the set should also be an element of the set. In this case, let's consider two polynomials p1 = a1x + b1 and p2 = a2x + b2, where a1, a2, b1, and b2 are constants.
If we add p1 and p2:
p1 + p2 = (a1x + b1) + (a2x + b2) = (a1 + a2)x + (b1 + b2)
The resulting polynomial is still a 1st degree polynomial (or less) because the highest power of x in the sum is 1. Therefore, W is closed under addition. Thus, statement C is false.
Statement D: W is empty.
To determine if W is empty, we need to find if there are any polynomials that satisfy the condition p = p^2.
Let's consider a general 1st degree polynomial p = ax + b:
p = ax + b
p^2 = (ax + b)^2 = a^2x^2 + 2abx + b^2
To satisfy the condition p = p^2, we need to equate the coefficients of corresponding powers of x:
a = a^2
2ab = 0
b = b^2
From the first equation, we have two possible solutions: a = 0 or a = 1.
If a = 0, then b can be any real number, and we have polynomials of the form p = b. These polynomials satisfy the condition p = p^2.
If a = 1, then we have the polynomial p = x + b. Substituting this into the equation p = p^2:
x + b = (x + b)^2
x + b = x^2 + 2bx + b^2
Equating the coefficients, we get:
1 = 1
2b = 0
b = b^2
The first equation is true for all x, and the second equation gives us b = 0 or b = 1.
Therefore, there are polynomials that satisfy the condition p = p^2, and W is not empty. Hence, statement D is correct option.
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find the volume of the solid bounded by the paraboloids z=−9 2x2 2y2 and z=5−2x2−2y2
We are given two paraboloids as:z = (-9/2)(x^2 + y^2)andz = 5 - 2(x^2 + y^2)The volume of the solid enclosed between the two paraboloids is given byV = ∫∫R[(5 - 2(x^2 + y^2)) - (-9/2)(x^2 + y^2)] d\(z = (-9/2)(x^2 + y^2)andz = 5 - 2(x^2 + y^2)\)A
where R is the region in the xy-plane that is bounded by the circular region of radius a centered at the origin.We can rearrange the equation and simplify it as follows:V = ∫∫R (23/2)x^2 + (23/2)y^2 - 5 dAWe will use polar coordinates (r, θ) to evaluate the integral, and the limits of integration for the radius will be 0 and a, and the limits of integration for the angle will be 0 and 2π.
Hence, we can rewrite the integral as:V = ∫[0, 2π] ∫[0, a] (23/2)r^2 - 5r dr dθEvaluating this integral:V = ∫[0, 2π] [23/6 * a^3 - 5/2 * a^2] dθV = 4π [23/6 * a^3 - 5/2\(V = ∫[0, 2π] ∫[0, a] (23/2)r^2 - 5r dr dθ Evaluating this integral:V = ∫[0, 2π] [23/6 * a^3 - 5/2 * a^2] dθV = 4π [23/6 * a^3 - 5/2 * a^2]V = (46/3)πa^3 - 10πa^2\) * a^2]V = (46/3)πa^3 - 10πa^2Hence, the volume of the solid enclosed between the two paraboloids is (46/3)πa^3 - 10πa^2.The explanation has a total of 152 words.
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the radius of the circle traced out by the second hand on a clock is 6.00 cm. in a time t the tip of the second hand moves through an arc length of 24.0 cm. determine the value of t in seconds.
The total time would be 38,3 seconds moves of arc length of 24.0 cm
What is circumference ?The measurement of a circle's boundaries is also known as the circumference or the perimeter of the circle. whereas the circumference of a circle shows the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units such as cm or m are used to measure it.
First we convert cm to meters.
6.00cm= 0.006m
24.0cm= 0.024m
Circumference
2πr = 2(π)(0.006)= 0.0376
The second hand taking 60 sec for one rev, so:
60*0.024/ 0.0376 = 38.3 seconds.
Hence we get the time as 38.3 seconds
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Need help with this composite shape!
What is the probability that a standard normal random variable will be between 0.3 and 3.2?
According to the z table, there is a 0.3814 percent chance that a standard normal random variable will fall between 0.3 and 3.2.
What is probability?The probability is calculated by dividing the total number of outcomes by the total number of potential events.
Odds and probability are two different concepts.
Calculating odds involves dividing the probability of an event by the probability that it won't happen.
Probability is the study of random events in mathematics, and it can be classified into four main categories: axiomatic, classical, empirical, and subjective.
So, we must determine the likelihood that a standard normal random variable will occur with a probability between 0.3 and 3.2.
First, a standard normal random variable with a mean and standard deviation is introduced.
We must determine the likelihood that a standard normal random variable will fall within the range of 0.3 and 3.2.
The likelihood therefore should be:
P(0.3<z<3.2)=P(z<3.2)−P(z<0.3)
Using z's typical value:
P(0.3<z<3.2)=0.9993−0.6179
Simplify as follows:
P(0.3<z<3.2)=0.3814
Therefore, according to the z table, there is a 0.3814 percent chance that a standard normal random variable will fall between 0.3 and 3.2.
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Please help me respond this question
Check the picture below.
Answer:
14.1
Step-by-step explanation:
You add all of your numbers up, and then you divide by how many numbers you have.
A line contains the point (-4,6) and has a slope of -2/3 write the equation of the line using point-slope form
Answer:
(y-6)=-2/3(x+4)
Step-by-step explanation:
PLEASE HELP GIVING BRAINLIEST
Answer:
see explanation
Step-by-step explanation:
x and x - 20 are adjacent angles and are supplementary , thus
x + x - 20 = 180
2x - 20 = 180 ( add 20 to both sides )
2x = 200 ( divide both sides by 2 )
x = 100
x - 20 = 100 - 20 = 80
------------------------------------------------------------
11x - 2 and 75 are corresponding angles and are congruent, thus
11x - 2 = 75 ( add 2 to both sides )
11x = 77 ( divide both sides by 11 )
x = 7
11x - 2 = 11(7) - 2 = 77 - 2 = 75
Just in case you can't see what is says it says Which point has coordinates (1,-5)
A B C D please help me
Answer:
D
Step-by-step explanation:
the x value = 1 so move to the right 1 mark on the graph and since y = -5 you move down 5 marks on the graph and you get you answer
hope this helps!
plz mark me brainliest if this helped!
have a great day!
the diagram shows a logo made from 3 circles. Each circle has a centre 0. daisy says exactly 1/3 of the circle is shaded. is daisy correct?
I NEED AN ANSWER QUICK!!!!
Daisy is not correct. The shaded part is 3/50 that of the whole circle.
Is Daisy correct?In order to determine if Daisy is correct, the area of the circle and the area of the shaded part has to be determined.
Area of the circle = = πr²
Where :
π = pi = 22/7
r = radius = 4 + 3 + 3 = 10
10²π = 100π
Area of the shaded part = 3²π = 9π
Ratio of the areas = 9π / 100π
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Which of the following relation is an even function of x? A) |y|= x^2B) y = –2|x| C) y^2= |x| + 1 D) y = |x + 6|
A function is even if the graphic is symmetric with respect to the y-axis.
You can symbolize an even function as -f(x)=f(x) for all values of x on the domain of the function f.
A)
\(|y|=x^2\)The expression |y| indicates that its the absolute value of y. This means that y can be positive or negative.
\(\begin{gathered} -y=x^2 \\ and \\ y=x^2 \end{gathered}\)This function is even.
B)
\(y=-2|x|\)In this example x is expressed as an absolute value and can be either positive or negative:
This function is symetrical with respect to the y-axis, so it an even function.
C)
\(y^2=|x|+1\)\(\begin{gathered} y^2=-x+1 \\ \text{and} \\ y^2=x+1 \end{gathered}\)This function is not symetrical with respect to the y-axis
D)
\(y=|x+6|\)This function is not symmetrial with respect to the y-axis
The inequality 1. 2w - 3. 4 < 8. 6 has an infinite number of solutions. Which set contains ONLY solutions?
The set that contains ONLY solutions for the inequality 1.2w - 3.4 < 8.6 is the set of all real numbers.
In this inequality, there are no specific limitations or restrictions on the variable w. It is an open-ended inequality with no boundary or range specified. Therefore, any real number value of w that satisfies the inequality will be a valid solution. This means that the set of solutions includes all real numbers.
The set of all real numbers encompasses both positive and negative numbers, fractions, decimals, and irrational numbers. Since there are no constraints or restrictions provided in the inequality, every real number value for w will make the inequality true. Hence, the set of all real numbers is the only set that contains ONLY solutions for the given inequality.
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The scale on a road map indicates that 2 inches = 20 miles. How many inches would represent 140 miles on this road map?
Answer:
It is 70 miles because 140÷2=70
What is the approximate total volume of the silo? use 3.14 for π and round the answer to the nearest tenth of a cubic meter. 37.1 m3 71.9 m3 116.5 m3 130.8 m3
The total volume of silo is = 116.5\({~m}^{3}\)
The correct option is C
What are the geometric figures?Any arrangement of points, lines, or planes constitutes a geometric figure. Depending on their dimensions, geometric figures can be categorized as either a space figure, a plane figure, a line, a line segment, a ray, or a point.
Any object's surface area is the space that the object's surface takes up on a specific area or region. Volume, however, refers to how much room a thing has.
Given data:
Radius =4.4/2
=2.2
height of cylinder = 6.2
to find :
total volume of silo = volume of cylinder + volume of hemisphere
\(\begin{aligned}&=\pi r^{2} h+\frac{2}{3} \pi r^{3} \\&=\pi r^{2}\left(h+\frac{2}{3} r\right) \\&=\frac{22}{7} \times(2.2)^{2}\left[6.2+\frac{2 \times 2.2}{3}\right]\end{aligned}\)
= 116.5\(m^2\)
The total volume of silo is = 116.5\(m^2\)
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I understand that the question you are looking for is:
A grain silo is composed of a cylinder and a What is the approximate total volume of the silo? Use hemisphere. The diameter is 4.4 meters. The height of 3.41 for \(\pi\) and round the answer to the nearest tenth of its cylindrical portion is 6.2 meters. a cubic meter.
a. 37.1\(m^2\)
b. 71.9 \(m^2\)
c.116.5 \(m^2\)
d. 130.8\(m^2\)
Indicate in standard form the equation of the line passing through the given points.
M(O. 6). N/6, 0)
Answer:
x + y = 6
Step-by-step explanation:
slope is -1
(y - 6) = -1(x - 0)
y - 6 = -x
x + y = 6
What is the y-intercept of the function below? Y=4x+4 (15 Points!)
Answer:
y- intercept = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 4x + 4 ← is in slope- intercept form
with y- intercept c = 4
Answer this if u love yo mama
Answer:
the answer 50
Step-by-step explanation:
this is because of the triangle therom thing which is all triangles are equal to 180 degrees which means you gotta add 35+95 which gives 130 then subtract 180-130 which equals 50 and thats the missing angle.
Answer:
50
Step-by-step explanation:
'Cause I love my mama UnU
The average response time to a bank robbery is about 9 min. A local community wants to improve on this time, so they implement advanced training seminars. They find that the new response time for a sample of 36 police officers is 8+4.2 (M SD) min. Test whether this advanced training seminar reduced response time at a.05 level of significance. A. This advanced training seminar significantly reduced response time, t(35) 11.43,p <.05 B. This advanced training seminar significantly reduced response time, (35)1.43, p < .05 C. This advanced training seminar did not reduce response time, t(35)--1.43, p> .05. D. There is not enough information to answer this question.
Using the t-distribution, it is found that since the test statistic is above the critical value for the left-tailed test, it is found that this advanced training seminar did not reduce response time, hence option C is correct.
At the null hypothesis, we test if the mean time has not been reduced, that is, it still is of 9 minutes, hence:
\(H_0: \mu = 9\)
At the alternative hypothesis, we test if it has been reduced, that is, it is less than 9 minutes, hence:
\(H_1: \mu < 9\)
We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:
\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)
The parameters are:
\(\overline{x}\) is the sample mean. \(\mu\) is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: \(\overline{x} = 8, \mu = 9, s = 4.2, n = 36\)
Then, the value of the test statistic is:
\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)
\(t = \frac{8 - 9}{\frac{4.2}{\sqrt{36}}}\)
\(t = -1.43\)
The critical value for a left-tailed hypothesis test with 35 df and a significance level of 0.05 is \(t^{\ast} = -1.69\).
Since the test statistic is above the critical value for the left-tailed test, it is found that this advanced training seminar did not reduce response time, hence option C is correct.
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If the m<4 is 110 degrees, what is m<1 ? (Give number value only.)
Answer:
70
Step-by-step explanation:
I'm not entirely sure, but lines b and a look congruent and vertical angles are congruent and measure 1, 4 would be 180 degrees.
geometry, trigonometry
Answer:
Hello
Answer B: 32.58°
Step-by-step explanation:
\(sin (\widehat{A})=\dfrac{35}{65} \\\\\widehat{A}=arcsin(\dfrac{7}{13} )=32.5789...^o\)
4. You are painting the roof of a
boathouse. You are going to
place the base of a ladder
3.2 feet from the boathouse.
How long does the ladder
need to be to reach the
roof of the boathouse?
K
3.2 ft
12.6 ft
The length of the ladder is 12.9 feet
How to find the length of the ladderAssuming the height of the boat house is 12.6 feet
The problem is solved using the Pythagoras theorem is applicable to right angle triangle. the formula of the theorem is
hypotenuse² = opposite² + adjacent²
The length of the ladder is the hypotenuse
plugging the values as in the problem
let x be the required distance
x² = 3.2² +12.6²
x² = 166.49
x = √166.49
x = 12.9 feet
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Select the correct answer.
Which graph shows a function and its inverse?
A. The first graph
B. The second graph
C. The third graph
D. The last graph
Answer:
B
Step-by-step explanation:
It is asking which graph show (x,y) for one line and (y,x) for the other line.
For example, the blue line shows (0,2) as a point and the red line shows ( 2,0) and so on and so on.
A car was marked $25,000. Ms. Eve bought it at a discount of
18%. In addition, she had to pay 7% tax. If Ms. Eve had to put
14% of what she had to pay as down payment, how much
money did she have to pay for the down payment?
4
Answer:
$3,745
Step-by-step explanation:
First, you have to calculate the price after the discount is applied:
Price of the car: $25,000
Discount: 18%
$25,000*18%= $4,500
$25,000-$4,500= $20,500
Second, you have to calculate the total amount she has to pay including the 7% tax:
$25,000*7%= $1,750
$25,000+$1,750= $26,750
Third, as the statement indicates that Ms. Eve had to put 14% of what she had to pay as down payment, you have to calculate the 14% of $26,750:
$26,750*14%= $3,745
According to this, Ms. Eve has to pay $3,745 for the down payment.
how will the z-scores compare if you use your height in inches verses centimeters?
The z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.
The z-scores will not change if you convert the height measurements from inches to centimetres or vice versa. The z-score is a standard score representing the number of standard deviations, a value above or below the mean of a normal distribution.
The z-score is calculated using the formula z = (x - mean)/standard deviation, where x is the value being compared to the mean and standard deviation of the distribution.
Converting the height from inches to centimetres or vice versa will only change the units of measurement, but the relative position of a value within the distribution will remain unchanged.
Therefore, the z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.
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Let F be a differentiable function such that f(-1)= -6 and f'(x)=4x-1. What is the approximation for f(-1.2) found by using the line tangent to the graph of f at x= -1?
The tangent line approximation for f(-1.2) is defined as follows:
f(-1.2) = -5.
How to obtain the equation of the tangent line?The point-slope format for the equation of the tangent line is given as follows:
y - y* = m(x - x*).
In which the parameters are given as follows:
(x*, y*) are the coordinates of the point.m is the slope of the linear function, representing the numeric value of the derivative at point (x*, y*).The derivative for this problem is given as follows:
f'(x) = 4x - 1.
f(-1)= -6, hence the coordinates of the point are given as follows:
x* = -1, y* = -6.
Hence the slope is given as follows:
m = f'(-1).
m = 4(-1) - 1
m = -5.
Thus the tangent line is defined as follows:
y + 6 = -5(x + 1).
y = -5(x + 1) - 6.
At x = -1.2, the approximation is calculated as follows:
y = -5(-1.2 + 1) - 6
y = -5.
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Berkeley Bowl Cherry Tomatoes (for Q6-7) Berkeley Bowl sells cherry tomatoes to local fast food restaurants. The diameter of a tomato is on average 26 mm, with a standard deviation of 3 mm. The upper and lower specifications limits that they are given are, respectively, 32 mm and 20 mm. Q6. What percentage of their tomatoes are within the specification limits? Q7. What should the standard deviation of their process be for their process to be half of the Six Sigma Quality?
Q6: Approximately 68.3% of the cherry tomatoes sold by Berkeley Bowl fall within the specified diameter limits of 20 mm to 32 mm.
Q7: To achieve half of the Six Sigma Quality, the standard deviation of the process should be approximately 0.22 mm for Berkeley Bowl's cherry tomatoes.
In Q6, we can use the concept of the normal distribution to determine the percentage of tomatoes within the specification limits. Since the average diameter is 26 mm and the standard deviation is 3 mm, we can assume a normal distribution and calculate the percentage of tomatoes within one standard deviation of the mean. This corresponds to approximately 68.3% of the tomatoes falling within the specified limits.
In Q7, achieving Six Sigma Quality means that the process has a very low defect rate. In this case, half of the Six Sigma Quality means reducing the variability in diameter to half the acceptable range.
The acceptable range is 32 mm - 20 mm = 12 mm. To achieve half the range, the standard deviation should be approximately half of 12 mm, which is 6 mm. Since the standard deviation is given as 3 mm, the process would need to be improved to reduce the standard deviation to approximately 0.22 mm for it to meet half of the Six Sigma Quality.
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How much more organic carbon would be saved annually by using reduced tillage? A. 12,000 g/ha. B. 70 kg/ha. C. 7,000 g/ha. D. 120 kg/ha.
The correct answer is Option B. There'll be 70 kg/ha organic carbon would be saved annually by using reduced tillage.
Reduced tillage, also known as conservation tillage, is a practice that minimizes the disturbance of the soil and helps to maintain organic carbon in the soil. This practice can help to improve soil health, reduce erosion, and increase water retention.
One study found that reduced tillage can increase organic carbon levels in the soil by 70 kg/ha (kilograms per hectare) per year. This is equivalent to 70,000 g/ha (grams per hectare) per year. Therefore, the correct answer is option B. 70 kg/ha.
In conclusion, reduced tillage can help to increase organic carbon levels in the soil, leading to improved soil health and other benefits. The amount of organic carbon saved annually by using reduced tillage is 70 kg/ha.
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