a grain silo consists of a cylindrical main section and a hemispherical roof of the total volume of the silo (including the part inside the roof section) is 10,000 find.the.cylindrical part is 30 ft tall, what is the radius of the silo, correct to the nearest tenth of a foot?
The radius of the silo which is in the shape of cylinders and spheres , correct to the nearest tenth of a foot, is approximately 10.3 feet.
To find the radius of the silo, we need to determine the radius of the cylindrical section.
The volume of the cylindrical section can be calculated using the formula:
\(V_{cylinder} = \pi * r^2 * h\)
where \(V_{cylinder}\) is the volume of the cylindrical section, r is the radius of the cylindrical section, and h is the height of the cylindrical section.
Given that the cylindrical section is 30 ft tall, we can rewrite the formula as:
\(V_{cylinder} = \pi * r^2 * 30\)
To find the radius, we can rearrange the formula:
\(r^2 = V_{cylinder} / (\pi * 30)\)
Now, we can substitute the total volume of the silo, which is 10,000 cubic feet, and solve for the radius:
\(r^2 = 10,000 / (\pi * 30)\)
Simplifying further:
\(r^2 = 106.103\)
Taking the square root of both sides, we find:
\(r = \sqrt{106.103} = 10.3\)
Therefore, the radius of the silo which is in the shape of cylinders and spheres , correct to the nearest tenth of a foot, is approximately 10.3 feet.
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HELP NOW IT IS 6th GRADE MATH HELPPPPPP
Answer:
S=2t
or
T=1/2 S
Is absolute value always positive on a graph?
On a graph, the absolute value of a number is always non-negative.
The absolute value of a number is defined as the distance of that number from zero on the number line. Since the distance can never be negative, the absolute value of a number is always non-negative.
This is reflected in the graph of an absolute value function. The graph of an absolute value function, |x| is a V-shape that opens upward, with the vertex of the V being the point where the absolute value function equals zero. The two arms of the V extend out from this point, going in opposite directions along the number line. The coordinates of the vertex (0,0) and the graph is always non-negative.
It's important to note that although the absolute value is always non-negative on a graph, the input value (x) can be both positive and negative. The output of the absolute value function (|x|) will always be positive.
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A flamenco dancer performs at n event at each event she dances to five songs and the each song is three minutes
At each event, the flamenco dancer takes 15 minutes to dance to five songs, and that is equivalent to a song duration of three minutes.
The flamenco dancer performs at n events, and at each event, she dances to five songs and each song is three minutes long.
Therefore, the total time taken by the flamenco dancer to dance at an event is given by;
Total time taken = 5 * 3 minutes
Total time taken = 15 minutes
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Calvin and Melvin are two of Santa's elves. The number of toys they build is given by
11
�
+
8
�
11c+8m11, c, plus, 8, m where
�
cc is the number of candy canes Calvin eats for breakfast and
�
mm is the number of candy canes Melvin eats for breakfast.
In linear equation, 79 is the number of candy canes Melvin eats for breakfast.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.
11c + 8m
(11)(5)+(8)(3)
=55+(8)(3)
=55+24
=79
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in a certain country the true probability of a baby being a girl is 0.473 among the next four randomly selected births in the country, what is the probability that at least one of them is a boy
The probability of at least one of the next four randomly selected births being a boy can be calculated as approximately 0.992.
To find the probability of at least one boy, we can calculate the probability of the complementary event, which is the probability of all four births being girls.
The probability of a single birth being a girl is 0.473, so the probability of all four births being girls is :
\((0.473)^4 = 0.049\)
Therefore, the probability of at least one boy is 1 - 0.049 = 0.951. However, this probability represents the chance for any of the four births to be a boy. Since there are four opportunities for a boy to be born, we need to consider the complement of no boy being born in any of the four births, which is \((1 - 0.951)^4\)≈ \(0.992\\\). Hence, the probability that at least one of the next four births is a boy is approximately 0.992.
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is this right ,and if not respond quickly
Answer:
Q.3 It takes 490 seconds for light to get from the sun to the earth should light travel at the above-mentioned speed.
Use the function to find the image of v and the preimage of w. T(v
1
,v
2
,v
3
)=(4v
2
−v
1
,4v
1
+5v
2
),v=(2,−3,−4),w=(6,18) (a) the image of v (b) the preimage of w (If the vector has an infinite number of solutions, give your answer in terms of the parameter t.)
(a) The image of v is (-14, -7).
(b) The preimage of w = (6, 18) is v = (2, 2).
(a) To find the image of vector v, we substitute the coordinates of v into the transformation T(v):
T(v) = (4v2 - v1, 4v1 + 5v2)
Substituting v = (2, -3, -4):
T(v) = (4(-3) - 2, 4(2) + 5(-3))
= (-14, -7)
The image of v is (-14, -7).
(b) To find the preimage of vector w, we need to solve the equation T(v) = w, where T(v) is the transformation and w is the given vector.
Substituting w = (6, 18):
(4v2 - v1, 4v1 + 5v2) = (6, 18)
From the first component equation:
4v2 - v1 = 6
From the second component equation:
4v1 + 5v2 = 18
Solving these two equations simultaneously:
4v2 - v1 = 6
4v1 + 5v2 = 18
Rearranging the first equation to solve for v2:
v2 = (6 + v1) / 4
Substituting this value of v2 into the second equation:
4v1 + 5((6 + v1) / 4) = 18
Multiplying through by 4 to eliminate the fraction:
16v1 + 5(6 + v1) = 72
16v1 + 30 + 5v1 = 72
21v1 = 42
v1 = 2
Substituting this value of v1 into the equation for v2:
v2 = (6 + 2) / 4
v2 = 2
Therefore, the preimage of w = (6, 18) is v = (2, 2).
(a) The image of v is (-14, -7).
(b) The preimage of w = (6, 18) is v = (2, 2).
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what is the common ratio of the geometric series produced by the nth order maclaurin series for h of x equals 1 over quantity 1 minus x end quantity question mark
The common ratio of the geometric series produced by the nth-order Maclaurin series for h(x) = 1/(1-x) is x.
The Maclaurin series for h(x) = 1/(1-x) is an infinite geometric series with the general term given by:
h(x) = x⁰ + x¹ + x² + x³ + ...
The nth order Maclaurin series for h(x) = 1/(1-x) is the sum of the first n terms of this infinite series. The common ratio of a geometric series is the ratio of any term to the previous term.
In this case, each term is the previous term multiplied by x, so the common ratio is x.
It's important to note that the Maclaurin series is a type of Taylor series that is used to approximate a function and it's useful when the function is evaluated at zero, in this case, when x is zero, the function becomes 1/(1-0) = 1, the function is equal to 1 when x=0.
In conclusion, the common ratio of the geometric series produced by the nth-order Maclaurin series for h(x) = 1/(1-x) is x. It's the ratio of any term to the previous term, and it's the same for all the terms in the series.
The Maclaurin series is a type of Taylor series that is used to approximate a function and it's useful when the function is evaluated at zero.
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Square ABCD has vertices A(-4.5, 4), B(3.5, 4),C(3.5, -4), and D(-4.5, -4). What is the area of square ABCD?
Answer:
that answer is b
Step-by-step explanation:
hope this helps
The area of square ABCD would be; 64 unit sq.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²] units.
Given that Square ABCD has vertices; A(-4.5, 4), B(3.5, 4),C(3.5, -4), and D(-4.5, -4).
To find the distance from two of the vertices of the square. The distance formula is as follows;
√[(x-p)² + (y-q)²]
A(-4.5, 4), B(3.5, 4),
D = √[(x-p)² + (y-q)²]
D = √(3.5-(-4.5))² +(4 -(4))²
D = √(3.5-(-4.5))² +(4 -(4))²
D = √(64 + 0)
D = 8
Therefore, the side of the square is 8 units.
The area of the square = side x side
= 8 x 8
= 64 unit sq.
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Let T be a linear operator defined on P3 by T(a0+a1x+a2x^2)=a0+a1(x-1)+a2(x-1)^2. The third row of the matrix associated with T with respect to base 1, x, x^2 is:
a) (0,0,1)
b) other response
c) (1,-2,1)
d) (1,0,0)
e) (-1,1,0)
The third row of the matrix associated with the linear operator T, with respect to the base 1, x, \(x^2\), is (1, -2, 1).
In order to find the matrix associated with the linear operator T, we need to determine the images of the basis vectors 1, x, and \(x^2\)under T.
Starting with the basis vector 1, we have \(T(1) = 1(1 - 1) + 0(x - 1)^2 = 0\). This means that the first entry of the third row of the matrix is 0.
Moving on to the basis vector x, we have \(T(x) = 0 + 1(x - 1) + 0(x - 1)^2 = x - 1\) .
This implies that the second entry of the third row of the matrix is 1.
Finally, for the basis vector \(x^2\), we have \(T(x^2) = 0 + 0(x - 1) + 1(x - 1)^2 = (x - 1)^2\).
Therefore, the third entry of the third row of the matrix is 1.
Combining these results, we obtain the third row of the matrix associated with T as (1, -2, 1). Therefore, the answer is (c) (1, -2, 1).
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help pls ill give extra points :))
Answer:
it is 19
Step-by-step explanation:
follow the order of operations
P
E
M
D
A
S
Solve for x
6x - 21 = 3x + 12
Answer:
x = 11
Step-by-step explanation:
6x - 21 = 3x + 12
6x - 3x = 21 + 12
3x = 33
x = 33/3
x = 11
Olivia and Garrett each take out at $18,000 loan for a new car. Each how to repay the loan in 5 years. Olivia has interest rate 3.2% per year . Her monthly payment is $308 Because Garrett has a lower credit score he will pay an interest rate of 3.6% per year. His monthly payment will be $311. How much more will an $18,000 loan cost Garrett than Olivia.
Answer:
$180
Step-by-step explanation:
First, you have to calculate the amount that Olivia would have paid at the end of the loan which would be the result of multiplying her monthly payment for the number of payments:
Total payment= $308*(12*5)
Total payment= $308*60
Total payment= $18,480
Then, you have to calculate the amount that Garrett would have paid at the end of the loan:
Total payment= $311*(12*5)
Total payment= $311*60
Total payment= $18,660
Now, you have to calculate the difference in the amount Olivia and Garrett would have paid:
$18,660-$18,480= $180
According to this, an $18,000 loan will cost Garrett $180 more than Olivia.
WILL MARK AS BRAINLEST!!!!!!!!!!!!!!!!
Answer:
63 = EHF
Step-by-step explanation:
We know that EHG is a right angle which is 90 degrees
FHG is 27 degrees
EHG = FHG + EHF
90 = 27+ EHF
90-27 = EHF
63 = EHF
please do this is was due
67.2
ST + SR + TR = perimeter of RST
ST = PQ × TR/QO
Explain and I’ll mark as brainliest too also worth 20 points
Answer:
x = 3
Step-by-step explanation:
The equation is,
16 = 5x+1
Subtract 1 from both sides,
16-1 = 5x
15 = 5x
Divide by 5,
x = 3
Answer: X = 3 because each row had 3 1 in it and because of that each row/X would be 3.
2log5 = log9ㅁ PLEASE HELP
Answer: \(2\log_{9}(5)=\log_{9}(25)\)
Step-by-step explanation:
Recall the following property of logarithm:
\(n\log_{a}(b)=\log_{a}(b^n)\)
So, by using the property above, it follows:
\(2\log_{9}(5)=\log_{9}(5^{2})=\log_{9}(25)\)
Eleven boat full bee line up in a row. Each bee, after the firt brag that more than twice the amount a many grain of pollen a the bee in front od them. The firt bee collect a hundred gram of pollen how many grain did the lat bee collect?
The 11th bee collected 2047 grams of pollen.
Bee Pollen Collection CalculationThis can be determined by using a simple arithmetic progression. If the first bee collected 100 grams of pollen, the second bee collected more than twice that amount, or 1002 = 200 grams.
Then, the third bee collected more than twice the amount collected by the second bee, or 2002 = 400 grams. This pattern can be continued, and the 11th bee would have collected 1002^(10) = 1001024 = 104800 grams, or 104.8 kg of pollen.
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Please help me solve this guys I only need the y-intercept
Answer: y-intercept = (0, -18)
Step-by-step explanation:
This is a quadratic equation question, where the quadratic equation is in the standard form of [y = ax² + bx + c]
The function of [a] in the equation is to determine the maximum/minimum of the parabola. If [a] is positive, then the parabola opens upward, which is a minimum. If [a] is negative, then the parabola opens downward, which is a maximum.
There aren't any particular functions of [b], but it operates with [a] to find the axis of symmetry.
The function of [c] is the y-intercept. The easiest way to prove this is to let x be zero, then we are left with the value [c]
Solve:
Given: y=-x²+8x-18
a = -1
b = 8
c = -18
Therefore, the y-intercept is (0, -18)
Hope this helps!! :)
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What's the area of a triangle and circle?
Answer:
Formula?
Step-by-step explanation:
Triangle = Area = 1/2bh
circle = Area = pi x r^2
Hope it helps
find the slope is the line
A manager of a deli gathers data about the number of sandwiches sold based on the number of customers who visited the deli over several days. The
table shows the data the manager collects, which can be approximated by a linear function.
Customers
104
70
111
74
170
114
199
133
163
109
131
90
Sandwiches
If, on one day, 178 customers visit the deli, about how many sandwiches should the deli manager anticipate selling?
To estimate the number of sandwiches the deli manager should anticipate selling when 178 customers visit the deli, we can analyze the given data and approximate it using a linear function.
By observing the table, we notice that the number of sandwiches sold varies with the number of customers. This indicates a relationship between the two variables.
To estimate the number of sandwiches, we can fit a line to the data points and use the linear function to make predictions. Using a statistical software or a spreadsheet, we can perform linear regression analysis to find the equation of the best-fit line. However, since we are limited to text-based interaction, I will provide a general approach.
Let's assume the number of customers is the independent variable (x) and the number of sandwiches is the dependent variable (y). Using the given data points, we can calculate the equation of the line.
After calculating the linear equation, we can substitute the value of 178 for the number of customers (x) into the equation to estimate the number of sandwiches (y).
Please provide the data points for the number of sandwiches sold corresponding to each number of customers so that I can perform the linear regression analysis and provide a more accurate estimate for you.
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5x4> 12
AND 12x +5 ≤-4
The solution for x is x ≤ -3/4.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
To solve for x in the inequalities:
5x - 4 ≥ 12 and 12x + 5 ≤ -4
We'll solve each inequality separately:
5x - 4 ≥ 12
Adding 4 to both sides, we get:
5x ≥ 16
x ≥ 16/5
So the first inequality is solved for x as x ≥ 16/5.
Now, 12x + 5 ≤ -4
Subtracting 5 from both sides, we get:
12x ≤ -9
x≤ -9/12
x≤ -3/4
The only values of x that satisfy both inequalities are those that are less than or equal to -3/4.
Therefore, the solution for x is x ≤ -3/4.
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The monthly water charge for a farmer based on his consumption can be calculated using this function:
f(x)= {5.50 + 0.50x
{8.00 + 1.00 (x−5)
if 0 ≤ x < 5
if x > 5 where x is every 100 gallons of water consumed.
Using limits, find the bill that a farmer can expect to pay if he consumes 500 gallons of water. Also, check whether there is a jump in the pricing structure if consumption exceeds 500 gallons.
The function for calculating the monthly water charge for a farmer based on his consumption is given by:
f(x) = {5.50 + 0.50x, if 0 ≤ x < 5{8.00 + 1.00 (x−5),
if x > 5where x is every 100 gallons of water consumed.
The amount of water consumed by the farmer is given as 500 gallons.
We need to find out the monthly bill that the farmer can expect to pay.
Using limits, we can calculate the monthly bill as follows:
For 0 ≤ x < 5, f(x) = 5.50 + 0.50x
Using limits, f(5) = lim {f(x)}
as x approaches 5 from the left= lim {5.50 + 0.50x}
as x approaches 5 from the left= 5.50 + 0.50(5)= 8.00
For x > 5, f(x) = 8.00 + 1.00 (x−5)
Therefore, the monthly bill for consuming 500 gallons of water is given by:
For 0 ≤ x < 5, the bill = f(x) = 5.50 + 0.50(5) = $8.00
For x > 5,
the bill = f(x) = 8.00 + 1.00 (x−5) = 8.00 + 1.00 (500/100 - 5) = $13.00
Therefore, the farmer can expect to pay a monthly bill of $13.00 if he consumes 500 gallons of water. Yes, there is a jump in the pricing structure if the consumption exceeds 500 gallons as the price increases from $8.00 to $13.00 per month.
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Factor the expression below.
x2 + 18x + 81
The Answer is (x+9)^2
Answer:
-81/20
Step-by-step explanation:
Eric spent $21.82, including sales tax, on 2 jerseys and 3 pairs of socks. The jerseys cost $6.75 each and the total sales tax was $1.03. Fill in the table with the correct prices.
Answer:
each sock is: 2.43
each jersey is: 6.75
Step-by-step explanation:
Total Sock Amount: 7.29
Total Jersey Amount: 13.50
Total Tax Amount: 1.03
Total Cost: 21.82
If your friend skied for 1 hour, how many calories would she burn
Answer:
480 calories
Step-by-step explanation:
(240/30)=(400/50)=(x/60)
Therefore
(240/30)=(x/60)
8=(x/60)
8*60=x
480=x
FOR 15 POINTS quick i need to know what this is 3⋅(612610)
Use the rules for significant figures to find the answer to the addition problem
S = 20.4 + 12 + 18.17 + 1.403.
The sum of the values, taking into account significant figures, is 52.0.
To find the sum of the values, we need to consider the rules for significant figures.
In the given addition problem, we have the following values: 20.4, 12, 18.17, and 1.403.
First, we need to align the decimal points for addition:
20.40
+ 12.00
+ 18.17
+ 1.403
__________
52.973
Next, we determine the number of significant figures for each value.
The value 20.4 has three significant figures, as the trailing zero after the decimal point indicates precision.
The value 12 has two significant figures.
The value 18.17 has four significant figures.
The value 1.403 has four significant figures.
When adding or subtracting values, we align the decimal points and round the result to the least precise value. In this case, the value 12 has the least number of decimal places, so we round the sum to two decimal places:
52.973 ≈ 52.97
Considering the significant figures, we round the sum to the least number of significant figures, which is two:
52.97 ≈ 53
Therefore, the sum of the given values, accounting for significant figures, is 52.0.
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