Answer:
\(37.7in.\)
Step-by-step explanation:
The circumference of a circle is: \(C=2\pi r\)
However, the question wants us to use 3.14 instead of \(\pi\).
We are given 12 inches as the diameter of the circle.
We want the radius, which is half of the diameter.
The radius of the circle is 6 inches.
Now that we have the radius, we plug and chug.
\(C=2*3.14*6in.\\C=6.28*6in.\\C=37.68in.\\\)
However, the question wants us to round the answer to the nearest tenth.
Therefore, the new answer is: \(37.7in.\)
what is 1/2 X (6 X 4)+3 + 2
Answer: 17
Step-by-step explanation:
Answer:
your answer is 17
Step-by-step explanation:
pls give brainliest!
Have a great day!
Using implicit differentiation, find y'' (second derivative) for (x^4)+(y^4)=16
a.k.a. Find \(\frac{d^2y}{dx^2}\) of \(x^{4}+y^{4}=16\)
Using implicit differentiation the second derivative is d²y/dx² = [-2x³y² × dy/dx + 2y³x²]/y⁶
How to use implicit differentiation to find the second derivative?Since we have the function x⁴ + y⁴ = 16, we desire to find the second derivative by implicit differentiation. We proceed as follows.
Since
x⁴ + y⁴ = 16
Taking the first derivative of the function, we have that
d(x⁴ + y⁴)/dx = d16/dx
dx⁴/dx + dy⁴/dx = d16/dx
4x³ + 4y³ × dy/dx = 0
4y³ × dy/dx = -4x³
dy/dx = -4x³/4y³
dy/dx = -x³/y³
We now differentiate again to take the second derivative of the function. So, we have that
dy/dx = -x³/y³
Using the quotient rule, we have dy/dx = (udv/dx - vdu/dx)/v² where u = -x³ and v = y³.
So, substituting this into the equation, we have that
d(dy/dx)/dx = (-x³dy³/dx - y³d-x³/dx)/(y³)²
= [-x³dy³/dy × dy/dx - y³d(-x³/dx)]/(y³)²
= [-x³2y² × dy/dx + y³2x²]/(y³)²
d²y/dx² = [-2x³y² × dy/dx + 2y³x²]/y⁶
The second derivative is d²y/dx² = [-2x³y² × dy/dx + 2y³x²]/y⁶
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Question 10 of 10
A clothing store sells T-shirts, t, for $8 a shirt, and shorts, s, for $12 each. The
store earned $180 revenue last month. The store sold three times as many T-
shirts as shorts. Using the method of substitution, how many T-shirts and
shorts did the store sell?
A. t= 15; s = 5
B. t = 12; s = 8
c. t = 5; s = 15
D. t = 8; s = 12
This may be hard to put together, but I need help with an angle equation. I'm looking for example equations and how to do these types of equations. *please note that this equation is completely random and probably ends with an ugly number. it's just an example of a type of problem*
Example: (2x - 4) x=7 so (2x (x=7) - 4) =18
Which of the following is not true?
O √16 +4√4+5
О 3п > 9
O √27+3 >
O 5-√24 1
Answer:
Hello there! I believe b or d
100 Points! Expand (2d+3)^6. Please show as much work as possible. Thank you! Photo attached.
The expansion will be 64d^6 + 1152d^5 + 9720d^4 + 43740d^3 + 98415d^2 + 145458d + 729
How to expand the valueWe can expand (2d+3)^6 using the binomial theorem, which states that:
(a + b)^n = nC0 * a^n * b^0 + nC1 * a^(n-1) * b^1 + nC2 * a^(n-2) * b^2 + ... + nCn-1 * a^1 * b^(n-1) + nCn * a^0 * b^n
where nCk is the binomial coefficient, given by:
nCk = n! / (k! * (n-k)!)
Expanding (2d+3)^6 using this formula, we get:
(2d+3)^6 = 6C0 * (2d)^6 * 3^0 + 6C1 * (2d)^5 * 3^1 + 6C2 * (2d)^4 * 3^2 + 6C3 * (2d)^3 * 3^3 + 6C4 * (2d)^2 * 3^4 + 6C5 * (2d)^1 * 3^5 + 6C6 * (2d)^0 * 3^6
Simplifying each term using the binomial coefficient formula, we get:
(2d+3)^6 = 1 * 64d^6 * 1 + 6 * 32d^5 * 3 + 15 * 16d^4 * 9 + 20 * 8d^3 * 27 + 15 * 4d^2 * 81 + 6 * 2d * 243 + 1 * 1 * 729
Simplifying each term further, we get:
(2d+3)^6 = 64d^6 + 1152d^5 + 9720d^4 + 43740d^3 + 98415d^2 + 145458d + 729
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A car is traveling at a rate of 90 kilometers per hour. What is the car’s in miles per hour? How many miles will the car travel in 3 hours? In your computations, assume that 1 miles is equal to 1.6 kilometers. Don’t round your answer. Rate: _ mi/h Distance traveled in 3 hours: _ mi
Answer:
Rate: 56.25 mi/h
Distance traveled in 3 hours: 168.75 mi
Explanation:
We know that 1 mile is equal to 1.6 kilometers, so, we can change the rate of 90 kilometers per hour to miles per hour as:
\(90\text{ km/h }\times\frac{1\text{ mile}}{1.6\text{ km}}=\text{ 56.25 miles/h}\)Now, we know that every hour the car travel 56.25 miles, so, the number of miles that the car travel after 3 hours is:
\(56.25\text{ mi/h }\times\text{ 3h = 168.75 mi}\)Therefore, the answers are:
Rate: 56.25 mi/h
Distance traveled in 3 hours: 168.75 mi
49. Calculate the limit. Some of these limits are made easier by considering the logarithm of the limit first, and some are not.
lim x^lnx
x→0+
The limit of xlnx when x is tending towards zero is zero.
What is limit in mathematics?
In mathematics, a limit is the value that a function (or sequence) approaches as the input (or index) approaches a particular value. Without limits, it is impossible to perform calculus or mathematical analysis; limits are also necessary to compute continuity, derivatives, and integrals.
Given limit is:
\(\lim_{x \to 0} x lnX\)
Considering f = x, and g = ln x
The limit of f and g are both zero or both ±∞, and the limit f′/g′ exists, then the limit f/g equals it.
The wrong in the expression x lnx is we are individually defining f and g doesn't meet the hypothesis. so, we write it as
\(\frac{lnx}{1/x}\)
We now use L' Hospital rule with f(x) = lnx, g(x) = 1/x as
The limits
\(\lim_{x \to 0^+} lnx= - \infty\), and
\(\lim_{x \to 0^+} \frac{1}{x}\)
The limits \(\lim_{x \to 0^+} \frac{f'(x)}{g'(x)}\) exists as:
\(\lim_{x \to 0^+} \frac{1/x}{-1/x^2} = \lim_{x \to 0^+} -x = 0\)
Hence the answer is 0.
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What is the surface area, measured in square centimeters, of the shapebelow? Do not include units in your answer.
SOLUTION
The figure in the question is a cuboid with
length = 7 cm, width = 3cm and height = 4cm
Surface area of a cuboid is given as
\(\begin{gathered} S=2(lw+lh+wh) \\ S=2((7\times3)+(7\times4)+(3\times4))_ \\ S=2(21+28+12) \\ S=2(61) \\ S=2\times61 \\ S=122cm^2 \end{gathered}\)Hence the answer is 122 square-centimeters
Write the statement as a conditional statement, then tell which part is the hypothesis and which is the conclusion. Write the inverse, converse, and contrapositive of your conditional statement:
People who reduce their time in the shower will save money on water.
Conditional Statement: If people reduce their time in the shower then they will save money on water.
Hypothesis: "If people reduce their time in the shower"
Conclusion: "they will save money on water"
What is the conditional statement?A conditional statement is defined as the two fundamental components that make up a conditional statement are Hypothesis (if) and Conclusion (then).
Conditional Statement: If people reduce their time in the shower then they will save money on water.
Hypothesis: "If people reduce their time in the shower"
Conclusion: "they will save money on water"
Inverse Statement: If people did not reduce their time in the shower, then they will not save money on water.
Converse Statement: If they will save money on water then people reduce their time in the shower.
Contrapositive Statement: If they will not save money on water then people do not reduce their time in the shower.
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Find the missing length of the triangle.
Answer:
89
Step-by-step explanation:
Hypotenuse = sqrt[ (Leg a)2 + (Leg b)2 ]
Hypotenuse = sqrt[ (39)2 + (80)2 ]
Hypotenuse = sqrt[ 1521 + 6400 ]
Hypotenuse = sqrt[ 7921 ]
Hypotenuse = 89
Answer:
45 is your answer c=45 13
booker and lola stuff envelopes for their urban food co-op booker stuffedd of 70 envelopes this is 10 more than twice the number of envelopes lola stuffed write an equation that can be used to find the number of envelopes e that lola stuffed
Answer:
Step-by-step explanation:
please help i will give barinliest
A Business Has 384 cases of water. There Are 42 bottles of water does the business have
Answer:
Step-by-step explanation:
A square garden has a length of (x+3) ft and a width of (x+2) ft. what is the perimeter and area of the garden?
Answer:
Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet
Step-by-step explanation:
The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)
Add:
\((9x + 7) + (x + 3)\)
\(\pink{\mathbb{\underline{QUESTION}}}\)
\({\bf{(9x + 7) + (x + 3)}}\)
\(\pink{\mathbb{\underline{SOLUTION}}}\)
\({\bf{(9x + 7) + (x + 3)}}\)
\({\bf{\implies9x + 7 + x + 3}}\)
\({\bf{\implies9x + x + 7 + 3}}\)
\({\bf{\implies10x + 10}\)
Hence, 10x + 10 is answer.
drag tiles to the boxes to form correct pairs. match the cube roots and square roots with their values.
how do i transform this equation 5(3x+9)-2x=15x-2(x-5)
You have to multiply to get a simple equation so it would be 15x+45=15x-2x+10 and that’s where my knowledge stops with that
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Let's solve your equation step-by-step.
5 ( 3x + 9 ) − 2x = 15x − 2 ( x − 5 )
Step 1: Simplify both sides of the equation.
5 ( 3x + 9 ) − 2x = 15x − 2 ( x − 5 )
( 5 ) ( 3x ) + ( 5 ) ( 9 ) + −2x = 15x + ( −2 ) ( x ) + ( −2 ) ( −5 ) ( Distribute )
15x + 45 + −2x = 15x + −2x + 10
( 15x + −2x ) + ( 45 ) = ( 15x + −2x ) + ( 10 ) ( Combine Like Terms )
13x + 45 = 13x + 10
13x + 45 = 13x + 10
Step 2: Subtract 13x from both sides.
13x + 45 − 1 3x = 13x + 10 − 13x
45 = 10
Step 3: Subtract 45 from both sides.
45 − 45 = 10 − 45
0 = −35
Answer:
There are no solutions.
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Use the number line below, where RS= 5y +5, ST = 4y + 8, and RT = 67.
a. What is the value of y?
b. Find RS and ST.
R
a. What is the value of y?
y = (Type an integer or a decimal.)
Answer:
y = 6RS = 35ST = 32Step-by-step explanation:
The segment sum theorem tells you the whole is the sum of the parts. That can be used to write an equation for y.
SetupRS +ST = RT
(5y +5) +(4y +8) = 67
SolutionSimplifying, we get ...
9y +13 = 67
9y = 54 . . . . . . . . subtract 13
y = 6 . . . . . . . . . divide by 9
RS = 5y +5 = 5·6 +5 = 35
ST = 4y +8 = 4·6 +8 = 32
The values of interest are ...
y = 6RS = 35ST = 32Convert the following equation into standard form: y=7/3x-10
Answer:
7/3x -y = 10
Step-by-step explanation:
do you want an explanation?
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what 7 coins make 82 cents
Answer:
1 quarter, 2 dimes, 1 nickel, and 3 pennies can be used to make 82 cents.
Step-by-step explanation:
One possible set of 7 coins that make 82 cents is:
1 quarter (25 cents)
2 dimes (10 cents each)
1 nickel (5 cents)
3 pennies (1 cent each)
Adding up the values of these coins:
25 + 10 + 10 + 5 + 1 + 1 + 1 = 82
Therefore, a set of 1 quarter, 2 dimes, 1 nickel, and 3 pennies can be used to make 82 cents.
If the image is rotated about the x-axis, which of the following images best represents the result?
A. Y
B. Z
C. X
D. W
The images best represents the result is image W.
We have, the image is rotated about the x-axis.
Now, rotating around x axis can give the other half of the image.
Also, rotating about x axis gives the mirror image of the figure.
So, the rotation leads to a circle.
and, In three dimensional we can say that Sphere.
Thus, the required image is W.
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Please help me with this proof.
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
what is 5% of $26.50
Answer:1.325
Step-by-step explanation:
Julian belongs to a club that is marching in a parade. Each member of the club needs to wear one of the hats listed in the table below.
PARADE HATS
Straw Hat
25 red
20 white
40 blue
Cowboy Hat
30 red
25 white
10 blue
Julian chooses the first hat at random from all the hats. What is the probability the hat Julian chooses is blue? Show your work or explain your answer.
The probability Julian chooses a blue hat is 1/3.
What is the probability Julian chooses a blue hat?Probability refers to the branch of math which deals with finding out the likelihood of the occurrence of an event.
Total hat is:
= 25+20+40+30+25+1
= 150.
There are a total of 150 hats to choose from.
The number of blue hats to choose from is:
= 40 + 10
= 50.
The probability that Julian chooses a blue hat is:
= 50/150
= 1/3
= 0.33 or 33.33%.
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Can someone answer this
The order of the graphs from largest to lowest correlation coefficients is:
Graph D, Graph A, graph C, graph B.
Which graph has the largest correlation coefficient?The correlation coefficient between two variables is a coefficient that tells us "how much" these variables relate.
So, in the case for linear correlation, as "more linear" the data appears to be, a large correlation is between the two variables.
With that in mind, we conclude that the order of the graphs (going for larger correlation coefficient to smaller correlation coefficient) is:
Graph D, Graph A, graph C, graph B.
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You earn $17.50/hr and work 40 hr/wk. Your deductions are FICA (7.65%), federal tax withholding (12.3%), and state tax withholding (6.2%). Your housing and fixed expenses are 30% of your realized income per month. You want to save 5 months' worth in an emergency fund within a year. How much do you need to save per month to fund the emergency fund, and how much discretionary money remains per month?
The amount that you need to save per month to fund the emergency fund would be $ 861. 58.
The discretionary money left per month would be $ 585. 88.
How to find the amount to save ?The gross income for the month :
= 17. 50 x 40 per week x 4 weeks a month
= $ 2, 800
The amount left which is realized funds for the month is:
= Gross income - FICA + Federal tax withholding + State tax withholding
= 2, 800 x ( 1 - 26. 15 %)
= $ 2, 067. 80
Five months of realized income for the emergency fund is:
= 2, 067. 80 x 5
= $ 10, 339
The amount to save per month is:
= 10, 339 / 12
= $ 861. 58
The amount left per month for discretionary expenses ;
= 2, 067. 80 - 861. 58 - 620. 24 rent
= $ 585. 88
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Instructions: Identify the key features of the following graph. If the Domain is all real numbers, type in 'All Real" into the Domain box
Key features for the graph given in the problem will be-:Vertex (-1, -5), Axis of symmetry=> (x = -1), y-intercept (0,-3), Minimum=> (y=-5), Domain=> (All Real), Range=>( y >= -5)
How to determine the key features?Refering to the graph given in the problem(refer image attached).The key features of the graph can be given as:
Vertex: The graph's vertex is at (-1, -5), which indicates that the graph extends upwards (because y = -5 is the minimal value).A vertical line at x = -1 serves as the graph's axis of symmetry. The graph is split into two symmetrical sections by this line.Y-intercept: The graph's y-intercept is at (0, -3), which indicates that here is where the graph and y-axis connect.The graph has a minimum point at y = -5, which is also the vertex of the graph and the lowest point on it.The graph's domain is set as "All Real" or "(-, )", which signifies that it spans all real values on the x-axis horizontally.Range: The graph's range is defined as y -5, which indicates that it climbs vertically from -5 and above on the y-axis.The graph has an upward-opening form, an axis of symmetry at x = -1, a y-intercept at (0, -3), a minimum point at y = -5 (which is also the vertex), and it spans all real numbers on the x-axis (domain) while being larger than or equal to -5 on the y-axis (range).
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which of the following are integers) π) 64) 66) 63
64, 66 and 63 are integers numbers
This stem and leaf diagram shows the number of students who go to various after school clubs. What is the smallest number of students who go to one of these clubs?
1| 6 8 9
2| 1
3| 5 9
4| 0 2 4 5
(Key: 2| 1 represents 21 students)
The smallest number of students who go to one of these clubs is 21.
A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).
Based on the given stem and leaf diagram, the smallest number of students who go to one of these clubs is represented by the leaf value "1" in the stem "2."
Therefore, the smallest number of students who go to one of these clubs is 21.
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