Given:-
Height of Cylinder = 21ft. Radius of Cylinder = 7ft.To Find :-
Surface area of CylinderSolution :-
Formula for finding surface area of Cylinder = 2πr(r+h)Putting the known values ,
Surface Area = 2×3.14×7(7+21) ft.²
= 1230.88 ft.²
Help, what is the area of this figure? (Don’t write a big explanation!!, i really need this quick, a picture or just numbers u used is fine)
Answer:
146 m²
Area of triangle:
1/2 * base * height1/2 * 16 * 756 m²Area of upper rectangle:
Length * Width8 * 972 m²Area of bottom rectangle:
Length * Width6 * 318 m²Total area:
18 m² + 72 m² + 56 m²146 m²Answer:
146 m²
Step-by-step explanation:
Divide the figure into a triangle and 2 rectangles (see attached diagram)
Formulae
Area of a triangle = 1/2 x base x heightArea of a rectangle = width x lengthTriangle 1
⇒ area = 1/2 x 16 x (6 + 9 - 4 - 4)
= 1/2 x 16 x 7
= 56 m²
Rectangle 2
⇒ area = 3 x (6 + 9)
= 3 x 15
= 45 m²
Rectangle 3
⇒ area = 5 x 9
= 45 m²
Total area
⇒ Total area = triangle 1 + rectangle 2 + rectangle 3
= 56 + 45 + 45
= 146 m²
please help meee i’m abt to failllllllllllll
Answer:
stop cheating boi
Step-by-step explanation:
what is the probability of mission success if at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission, each boat has a failure rate of 1 failure per 100 hours?
A. 99.5%
B. 95.0%
C. 90.0%
D. 85.5%
The probability of mission success if at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission if each boat has a failure rate of 1 failure per 100 hoursis 99.5%. Hence, the correct option is (A).
To determine the probability of mission success, we'll need to calculate the probability of failure for each boat and then use the binomial probability formula.
Here are the steps:
1. Calculate the probability of failure for each boat during the 20-hour mission: Since each boat has a failure rate of 1 failure per 100 hours, the probability of failure for each boat in 20 hours is 20/100 = 1/5 or 0.2.
2. Calculate the probability of success for each boat: The probability of success for each boat is 1 - probability of failure = 1 - 0.2 = 0.8.
3. Use the binomial probability formula to find the probability of at least 11 boats operating successfully:
P(X ≥ 11) = 1 - P(X ≤ 10), where X is the number of successful boats.
4. Calculate P(X ≤ 10) using the binomial probability formula:
P(X ≤ 10) = ∑[C(16, k) × (0.8)^k × (0.2)^(16-k)], where k ranges from 0 to 10, and C(16, k) is the binomial coefficient or the number of ways to choose k successes from 16 boats.
5. Calculate 1 - P(X ≤ 10) to get the probability of mission success.
After performing the calculations, the probability of mission success is found to be approximately 99.5%, which corresponds to option A.
So, the probability of mission success, given that at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission and each boat has a failure rate of 1 failure per 100 hours, is approximately 99.5%.
Hence, option (A) is correct.
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which graph is a function of x?
Answer:the one to the left
Step-by-step explanation:
Please help! Asap! (Photo)
Answer: 1 true 2 false
Step-by-step explanation: Sorry I’m kinda rusty if you get it wrong
Find the product. (a2)(2a3)(a2 â€"" 8a 9) 2a7 â€"" 16a6 18a5 2a7 â€"" 16a6 â€"" 18a5 2a8 â€"" 16a7 18a6 2a12 â€"" 16a7 18a6
2.4. Subtract4 84286
Subtract:
\(\begin{gathered} \text{ 484} \\ -286 \end{gathered}\)To perform this subtraction, since 4 is less than 6, borrow 1 from the top number on the left next to 4, we have:
For the product (8x-6)(2x + 5). does anyone know how I would get the answer for A and B?
Answer:
A=16x^2
B=-12x
Step-by-step explanation:
I think this question is asking you to use box method. If so, imagine 8x times 2x is 16x^2, which would be the A value. Then, 2x times -6 is -12x, which is the B value. I'm sorry if thats not what the question is asking. Hope this helps though!
y = x2
-2
What is the Domain:
Answer:
all real numbers
Step-by-step explanation:
The domain is the values that x can take
x can be any real number
Find the denominator of the geometric progression {bn} if b1 = 5 and b5 = 80
Answer:
b
5
b
2
=
4
1
⇒
ar
4
ar
=
4
1
Where a is the first term & r is the common ratio.
⇒
r
3
1
=
4
1
⇒r
3
=4
⇒r=
3
4
=4
3
1
And,b
2
+b
5
=216
⇒ar+ar
4
=216
⇒ar(1+r
3
)=216
Replacing, r=4
3
1
⇒ar[1+(4
3
1
)
3
]=216
⇒ar[1+4]=216
⇒ar=
5
216
⇒a=
5r
216
=
5
3
4
216
∴ The first term is 5 34
216
Which of the following rational functions is graphed below?
Answer:A
Step-by-step explanation:
please help I will give you any award
Answer:
218.57
Step-by-step explanation:
Since it is an isoceles triangle, the sides are 32, 32, and 14.
Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2, we can calculate the area.
(A+B+C)/2 = (32+32+14)/2=39.
A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.
Hope this helps have a great day :)
Check the picture below.
so let's find the height "h" of the triangle with base of 14.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)
need help with pre-cal please
Answer:
x = n² ± n√(n² + 8)Step-by-step explanation:
x ≠ 0, n ≠ 04/x² + 1/x = 1/(2n²)(x + 4)/x² = 1/(2n²)2n²(x + 4) = x²x² - 2n²x - 8n² = 0D = (-2n²)² - 4(-8n²) = 4n⁴ + 32n² = 4n²(n² + 8)x = (2n² ± 2n√(n² + 8))/2x = n² ± n√(n² + 8)Need help ASAP please! 12 points!!
HELP ASAP PLSSSSSSS
Clara surveyed the students at her school to find out if they like pies and/or sandwiches. The results of her survey are shown in the two-way table below:
Like Pies
Do Not Like Pies
Total
Like Sandwiches
25
43
68
Do Not Like Sandwiches
26
6
32
Total
51
49
100
If a student does not like sandwiches, what is the probability that student also does not like pies?
81.3%
26.0%
23.1%
18.8%
Answer:
18.8%
Step-by-step explanation:
For calculating this, focus on one part of the table :
The row where students do not like sandwichesThere are 32 students who do not like sandwiches, and 6 of them do not like pies. Take this a proportion :
P (does not like pies, do not like sandwiches) = 6/32P = 3/16P = 18.8%Students who don't like sandwiches also don't like pie is the 2 nd box on 2 nd line
Probability
P(E)=6/32P(E)=6/32×100=3/16×100=18.8%Option D
Box A contained 1.67 kilograms of flour. Box B contained 8.6 kilograms of flour. Mr. Smith used all the flour from both boxes to bake some cakes. How much flour did he use in all?
Answer:
Mr. Smith used 10.27 kilograms of flour in total.
Step-by-step explanation:
tell whether each point is on the graph of f(x)=|x|.If it is, give the coordinates of another point with the same y value. (11,11)
The point (11,11) will lie on the graph of the function f(x) = IxI
What is coordinate?
The x-coordinate informs us of a point's separation from the y-axis, which is the vertical axis. The abscissa is another term for the x-coordinate. The y-coordinate shows how far a point is from the horizontal axis, or x-axis. The term "ordinate" also applies to the y-coordinate.
the function: f(x) = IxI
The function will have every positive and negative integer contained within itself.
So coordinates of another point with the same y value (11,11) will lies on the graph so as (-11,11).
Hence point (11,11) will lie on the graph of the function f(x) = IxI
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Carla corporation issued 1,900 shares of $10 par value common stock conversion of 950 shares of $50
If Carla Corporation issued 1,900 shares of $10 par value common stock in exchange for the conversion of 950 shares of $50 convertible preferred stock, we can calculate the impact on the financial statements as follows:
Calculation of the Total Par Value of the Common Stock Issued:
The total par value of the common stock issued is equal to the number of shares issued multiplied by the par value per share. In this case, 1,900 shares were issued with a par value of $10 per share, so the total par value of the common stock issued is:
Total Par Value = 1,900 shares x $10/share = $19,000
Calculation of the Conversion Ratio:
The conversion ratio is the number of shares of common stock that can be obtained from one share of preferred stock. In this case, 950 shares of $50 convertible preferred stock were converted into 1,900 shares of common stock, so the conversion ratio is:
Conversion Ratio = 1,900 shares / 950 shares = 2:1
This means that for every share of preferred stock, the holder can receive two shares of common stock.
Calculation of the Value of the Preferred Stock Converted:
To determine the value of the preferred stock that was converted, we need to multiply the number of shares converted by the conversion price. The conversion price is the price at which the preferred stock can be converted into common stock. In this case, the conversion price is not given, so it is not possible to calculate the value of the preferred stock converted.
Impact on the Financial Statements:
The issuance of the 1,900 shares of common stock will increase the equity section of the balance sheet. The total par value of the common stock issued ($19,000) will be recorded as an increase in the common stock account, which is a component of the stockholders' equity section of the balance sheet.
If the preferred stock had any accumulated dividends or other preferences, these would need to be taken into account in the conversion process. Additionally, any difference between the fair value of the preferred stock and the par value of the common stock issued would need to be recorded as an adjustment to the additional paid-in capital account.
Without more information about the conversion price and any other terms of the conversion, it is not possible to provide a more specific analysis of the impact on the financial statements of Carla Corporation.
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a force on an object is given by f( x) = ( -4.00 n/m) x ( 2.00 n/m 3) x 3. what is the change in potential energy in moving from to ?
Change in potential energy in moving from x1 = -0.100 m to x2 = -0.300 m is -1.52 x 10^-4 J.
How to calculate the change in potential energy?We need to use the formula:
ΔPE = -W
where ΔPE is the change in potential energy and W is the work done by the force. The work done by the force is given by:
W = ∫ f(x) dx
where ∫ represents integration and dx is the infinitesimal displacement. Substituting the given force, we get:
W = ∫ (-4.00 n/m) x (2.00 n/m³) x³ dx
Integrating this expression with limits from x1 to x2 (the initial and final positions), we get:
W = (-1/2) (4.00 n/m) (2.00 n/m³) [(x2)⁴ - (x1)⁴]
Now, substituting the given positions, we get:
W = (-1/2) (4.00 n/m) (2.00 n/m³) [(-0.100 m)⁴ - (-0.300 m)⁴]
W = 1.52 x 10⁻⁴ J
Finally, substituting this value of W in the formula for ΔPE, we get:
ΔPE = -W
ΔPE = -1.52 x 10⁻⁴ J
Therefore, the change in potential energy in moving from x1 = -0.100 m to x2 = -0.300 m is -1.52 x 10⁻⁴ J.
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Evaluate the following integral using integration by parts. 4 sin-1 4 sin - ¹2x dx [4 sin -¹2x dx =
The complete solution is:
∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.
We have,
\(u = sin^{-1)}(2x)\)
dv = 4 dx
Taking the derivative of u, we get:
du/dx = 1 / √(1 - (2x)²)
Integrating dv, we get:
v = ∫4 dx = 4x
Now, applying the integration by parts formula:
∫4 \(sin^{-1}(2x) dx\) = uv - ∫vdu
Plugging in the values, we have:
∫4 \(sin^{-})(2x) dx = sin^{-1}(2x) \times\) 4x - ∫(4x / √(1 - (2x)²)) dx
At this point, we need to evaluate the integral on the right side.
Let's perform a substitution to simplify it:
Let u = 1 - (2x)²
Differentiating u with respect to x, we get:
du/dx = -4(2x) = -8x
Solving for dx, we have:
dx = -du / (8x)
Substituting these values, the integral becomes:
∫(4x / √(1 - (2x)²)) dx = ∫(-4x / (8x x √u)) (-du / (8x))
Simplifying, we get:
∫(4x / √(1 - (2x)²)) dx = ∫(-1 / (2√u)) du
= -∫(1 / (2√u)) du
= -√u + C
Substituting back the value of u, we have:
∫(4x / √(1 - (2x)²)) dx = -√(1 - (2x)²) + C
Therefore,
The complete solution is:
∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.
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The complete question:
a) Evaluate the integral ∫4 sin^(-1)(2x) dx using integration by parts.
What number is equivalent to the fraction 18 over 5
Answer:
How to Write 18/5 as a Decimal? fraction to decimal calculator to find what's an equivalent decimal for the fractional number 18/5. the answer will be 3.6 in decimal form
PLEASE HELP I GOT LIKE 15 MINUTES LEFT
One small circle is completely inside a larger circle. Both circles share the same center point. Calculate the area of the shaded region.
Answer:
133π square centimeters
Step-by-step explanation:
Area of larger circle:
\(\pi( {13}^{2} ) = 169\pi\)
Area of smaller circle;
\( \pi( {6}^{2} ) = 36\pi\)
Area of shaded region:
\(169\pi - 36\pi = 133\pi\)
Round 0.832 to the nearest hundredth.
Answer:
0.83
Step-by-step explanation:
5 or more raise the score 4 or less let it rest
Elementary nostoligia :)
Write the equation of the line with the given slope and y-intercept
Answer:
A) y = x - 3/4
Step-by-step explanation:
The equation of the line with slope m and intercept b is
y = mx + b
Here were have slope = m = 1.
y-intercept = b = -3/4
Equation:
y = mx + b
y = 1x + (-3/4)
y = x - 3/4
Answer: A) y = x - 3/4
College student makes decorative Styrofoam Lions and Husky's which she sells each year. Each one uses 8 oz of Styrofoam and takes 35 minutes to make. Each husky uses 12 oz of Styrofoam and takes 20 minutes to me. Furthermore, each line brings in a profit of $2.50 while each husky brings in a profit of $3. If she only has 3840 ounces of Styrofoam to work with and has 9650 minutes, how many of each animal should she make in order to maximize profits? What is the maximum profit possible?
Answer:
She should make 122 Styrofoam lions and 268 Styrofoam Husky's
The maximum profit, she makes is $1109
Step-by-step explanation:
The given information are;
The volume required to make each lion = 8 oz
The time it takes to make each lion = 35 minutes
The amount of profit each lion brings = $2.50
The volume required to make each Husky = 12 oz
The time it takes to make each Husky = 20 minutes
The amount of profit each Husky brings = $3
Let the number of lion Styrofoam cups she makes = x
Let the number of Husky Styrofoam cups she makes = y
Therefore, we have;
x × 35 + y × 20 = 9650..........(1)
x × 8 + y × 12 = 3840.............(2)
Dividing equation (2) by 8 and making x the subject, we get;
x × 8/8 + y × 12/8 = 3840/8
x + 4/3·y = 480
x = 480 - 4/3·y
Substituting the value of x in equation (1) gives;
(480 - 4/3·y) × 35 + y × 20 = 9650
16800 - 80/3·y = 9650
y = 268.125
x = 480 - 4/3·y = 480 - 4/3×268.125 = 122.5
Therefore, she can make 122 Styrofoam lions and 268 Styrofoam Husky's
The maximum profit, she makes is therefore given by the following equation;
The maximum profit = 122 × 2.5 + 268 × 3 = $1109.
(06.01 MC) What is the value of the expression shown below? 7 + (2 + 6) 2 ÷ 4 ⋅ (1/2)4
Group of answer choices
23
9
8
18
Answer:
8
Step-by-step explanation:
Solving numeric expression:Use PEDMAS
P - Parenthesis
E - Exponents
D -Division
M - Multiplication
A & S - Addition and subtraction. \(\bf 7 + (2 +6)^2 \div 4 * (\dfrac{1}{2})^2 = 7 + 8^2 \div 4 * \dfrac{1}{16}\\\\\\\text{\bf First perform the operation inside the parenthesis and then the exponents}\)
\(= 7 + 64 \div 4 * \dfrac{1}{16}\)
Here, exponents 8² = 64 is done
\(\bf = 7 + 16 * \dfrac{1}{16} \ {(\bf Division \ is \ done)}\)
= 7 + 1
= 8
Answer:
wait I big speak. it's important for learn how.
Calculate all four second-order partial derivatives and check that . Assume the variables are restricted to a domain on which the function is defined.
The four second-order fractional subsidiaries are ∂²f/∂x², ∂²f/∂y, ∂²f/∂x∂y, ∂²f/∂y∂x.
To calculate all four second-order fractional subsidiaries of a work, we ought to separate the work twice with regard to each variable. Let's indicate the work as f(x, y).
The four second-order fractional subsidiaries are:
∂²f/∂x²: This speaks to the rate of change of the work with regard to x, twice. We are able calculate it by separating ∂f/∂x with regard to x.
∂²f/∂y²: This speaks to the rate of alter of the work with regard to y, twice. Ready to calculate it by differentiating ∂f/∂y with regard to y.
∂²f/∂x∂y: This speaks to the rate of alter of the work with regard to x and after that y. We are able calculate it by separating ∂f/∂x with regard to y.
∂²f/∂y∂x: This speaks to the rate of alter of the work with regard to y and after that x. Ready to calculate it by separating ∂f/∂y with regard to x.
It's vital to note that the arrange of separation with regard to diverse factors can surrender diverse comes about in common. In any case, in the event that the blended halfway subordinates (∂²f/∂x∂y and ∂²f/∂y∂x) are rise to, at that point the work shows symmetry within the factors x and y.
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How much mustard, chili, and salt would you need for 5 batches of spice mix?
how much is in the spice mix? context is necessary
Dusty's earnings vary directly with the
number of papers he delivers. The
relationship is shown in the graph below.
Determine the amount that Dusty earns for
each paper he delivers.
Answer:
$0.50 per paper
Step-by-step
1/2 = 0.50
2/4 = 0.50
3/6 = 0.50
We need to find the amount Dusty earns from the newspapers he delivers.
The amount of money earned from each paper is 0.5$.
Let us take two points on the line and find the slope this will give us how much he earns from each paper.
Taking two points \((2,1)\) and \((4,2)\)
Slope is given by
\(m=\dfrac{\Delta y}{\Delta x}\\\Rightarrow m=\dfrac{2-1}{4-2}\\\Rightarrow m=\dfrac{1}{2}\\\Rightarrow m=0.5\)
So, the amount of money earned from each paper is 0.5$.
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You can
Figure A to map it onto Figure Din a single transformation."
1.answers
2.rotate
3.reflect
4.translate
5.dilate
Answer: a
Step-by-step explanation: