Answer:
7.855
Step-by-step explanation:
A=pi*r^2=3.142*5^2=3.142*25=7.855
The value of A = 7.855 units.
What is area of circle?The area of a circle is π multiplied by the square of the radius. The area of a circle, (A) when the radius 'r' is given is πr2. π is approximately 3.142
Here, given that,
r= 5 units
Then, A=pi*r^2
=3.142*5^2
=3.142*25
=7.855
hence, the value of A = 7.855 units.
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right cylinder calc: find r, h=10, v=n/a
if the volume is known, you can calculate the radius using the formula and the given values and it is =1.7853
To find the radius (r) of a right cylinder with a given height (h) of 10 and an unknown volume (V), additional information is needed to solve the problem. Without knowing the value of the volume, it is not possible to determine the exact value of the radius. The volume of a right cylinder is calculated using the formula V = \(\pi r^{2h}\), where π is a constant value approximately equal to 3.14159.
However, if you have the value of the volume (V), you can rearrange the formula to solve for the radius (r). For example, if the volume is given as V = 100 cubic units, you can use the formula V = πr^2h and substitute the known values to find the radius. Rearranging the formula, we get r = √(V / (πh)), where √ denotes the square root.
By plugging in the values of V = 100 and h = 10 into the formula, we can calculate the radius as r = √(100 / (π × 10)). Simplifying further, r ≈ √(10 / π) ≈ √(10 / 3.14159) ≈ √(3.1831) ≈ 1.7853
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(1-cosx)(1+1/cosx)= sinx tanx
Answer:
Step-by-step explanation:
\((1 - Cos \ x)*(1+\dfrac{1}{Cos \ x})=(1- Cos \ x)* \left(\dfrac{Cos \x }{Cos \ x}+\dfrac{1}{Cos \ x} \right)\)
\(= (1-Cos \ x)*\left(\dfrac{Cos \ x + 1}{Cos x}\right)\\\\=\dfrac{(1-Cos \ x)(1+Cos \ x)}{Cos \ x}=\dfrac{1^{2}-Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{1 -Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{Sin^{2} \ x}{Cos \ x}\\\\=Sin \ x * \dfrac{ Sin \ x}{Cos \ x}\\\\\)
= Sin x * Tan x
Hence proved
The measures of two supplementary angles are 4x° and 2x°. Write and solve an equation to find the measure of each angle.
Equation: ________________________
Answer: _____________________________
Equation: \( 4x\degree + 2x\degree = 180°\)
Answer:
120°, 60°
Step-by-step explanation:
Since, sum of any two Supplementary angles is always 180°.
\( \therefore 4x\degree + 2x\degree = 180°\\
\therefore 6x\degree = 180°\\
\therefore 6x = 180\\\\
\therefore x = \frac{180}{6}\\\\
\therefore x = 30\\
\implies \\
4x° = (4\times 30)° = 120°\\
\&\\
2x° = (2\times 30)° = 60°\\
\)
Question 43 please. I would also appreciate it if you could explain your steps. Thank you
Answer:
D. p is multiplied by 2
Step-by-step explanation:
43. We can simplify the formula a bit to better see the effect of changing 'a'.
\(p=\dfrac{\dfrac{1}{2}ary+a}{12y}=\dfrac{ary+2a}{2(12y)}=\dfrac{a(ry+2)}{24y}\)
This tells you that for unchanging values of r and y, the value of p is proportional to the value of a. That is, the formula is of the form ...
p = ka . . . . for k=(ry+2)/(24y)
If a is multiplied by 2, p is multiplied by 2.
Help me please i don’t know what to do
Quadratic applications include: Horizontal Motion Issues For a moving object, one uses the formula h = -16t2 + vt+s. The following is represented by the variables: h is a symbol for the object's height when it is moving.
How can one calculate h in a projectile motion?h = v 0 y 2 2 g This equation, which only depends on the vertical component of the initial velocity, specifies the maximum height of a projectile above its launch site.
If v is the starting speed, g is the gravitational acceleration, and H is the highest point that may be reached in meters, then is the initial speed's angle from the horizontal plane (radians or degrees). The equation H = v 0 2 s I n 2 2 g yields the projectile's greatest height
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through: (4, 5), parallel to y =1/4x - 4
Write the slope intercept form of the equation.
Answer:
y = 1/4x + 4
Step-by-step explanation:
y = mx + b
Since the lines are parallel, the slope is the same. m = 1/4
y = 1/4x + b
Substitute (4,5)
5 = 1/4(4) + b
5 = 1 + b
4 = b
The y-intercept is (0, 4).
y = 1/4x + 4
Help plz!!!!
A pyramid has an approximate height of 150 yards, and the square base has
side lengths of approximately 50 yards. What is the approximate volume of
the pyramid? (Hint: It takes 3 pyramids to make a prism)
Answer:
the answer might be 125,000 yards maybe
which graph represents the linear equation y= 1/2 x + 2
Answer:
The graph on the top right
Step-by-step explanation:
The slope-intercept form is y = mx + b
m = the slope
b = y-intercept
The equation is y = 1/2x + 2
The y-intercept in this equation is 2, meaning the graph has a point (0,2) on it. Looking at the options, the only graph that has a point (0,2) is the map on the top right, and that is the answer.
Help me plsssssssssssssssssssssssssss
Answer: 120
Step-by-step explanation: divide 24 by 5 to get 4.8 so its 4.8 minutes for one question
25 x 4.8 = 120
An automobile factory is assembling cars and they need to have all of the parts in stock at the assembly line. each car needs four tires and a spare tire for the trunk. if they produce c cars per day, what formula shows how to calculate the number of tires, t, needed? a. c = 4 t 1 c. t = 4 c 1 b. t = c 4 d. t = 5 c
The formula which shows how to calculate the number of tires, t, needed if they produce c cars per day is t = 5c. option D
EquationNumber of tires needed by each car = 4Number of spare tires needed by each car = 1Total tires needed by each car = 4 + 1
= 5
Number of cars produced per day = cTotal number of tires, t needed for c cars.
Number of tires needed, t = Total tires needed by each car × Number of cars produced per day
t = 5 × c
t = 5c
For instance,
if 5 cars are produced per day
Number of tires needed, t = Total tires needed by each car × Number of cars produced per day
t = 5c
= 5 × 5
t = 25 tires
Therefore, the formula which shows how to calculate the number of tires, t, needed if they produce c cars per day is t = 5c. option D
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What is the volume? Of the storage chest?Find surface area of the chest
Surface area = 400 ft²
Volume = 448 ft³
Explanation:length = 4 ft
width = 8 ft
height = 14 ft
The storage chest is a rectangular prism in shape
We use volume of rectangular prism formula:
\(\text{Volume of rectangular prism = length }\times width\text{ }\times\text{ height}\)\(\begin{gathered} \text{Volume = 4ft }\times\text{ 8ft }\times\text{ 14 ft} \\ \text{Volume = }448ft^3 \end{gathered}\)Hence, the volume of the storage chest is 448ft³
Surface area of rectangular prism = 2(lw + hw + hl)
Surface area = 2(4 × 8 + 14 × 8 + 14 × 4)
Surface area = 2(32 + 112 + 56)
Surface area = 2(200)
Surface area = 400 ft²
Surface area of the chest = 400 ft²
PLEASE HELP WILL GIVE BRAINLEST! What is the amplitude of the function graphed below?
Answer:
The amplitude is the maximum displacement/highest peek
Which is in your case = 2
the proportion of college football players who have had at least one concussion is estimated to be 34% in the united states. we wanted to know if football players at our university were less likely to have suffered a concussion, so we surveyed a random sample of 100 past and present football players at our university. is this survey valid or not valid for testing the hypothesis that the proportion of college football players at our university with at least one concussion is less than the national average?
All of the criteria's are fulfilled the survey is valid.
We have the information from the question:
The proportion of college football players who have had at least one concussion is estimated to be 34% in the united states.
Then, 34% = 0.34
The sample size of the data is = 100
p: the ‘proportion’ of ‘college’
The required conditions for testing the hypothesis of population proportion are,
(i) The population is larger than the sample
(ii) np > 10
=> 100 × 0.34
=34
(iii) n(1-p) > 10
100 × (1 - 0.34)
=> 100 × 0.66
=66
iv)The ‘sample’ is drawn randomly from the population.
Since all of the above criteria's are fulfilled the survey is valid.
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Fractions, help please!
Answer:
which one ???follow me and mark me brainliest
Answer:
25. books: 1/7, games: 5/14
26. clothes: 3/14, games: 5/14, toys: 2/7
27. books: 1/7, toys: 2/7
Step-by-step explanation:
1) The bar graph shows 2 for books, and Tony got 14 gifts; therefore, 2/14 were books. However, 2/14 isn't the answer because they are asking for the simplest form which is 1/7. Keep repeating this process for the rest of the gifts and you will get your answer.
Hope this helps!
The perimeter of the rectangle below is 68 cm. The perimeter of the triangle is 60 cm. Find the length of the hypotenuse of the triangle
The right triangle is assumed to be inscribed in the rectangle, such that
hypotenuse is the diagonal of the rectangle.
The length of the hypotenuse of the triangle is 26 cm.Reasons:
Let x and y represent the length of the sides of the rectangle
Whereby the base and height of the right triangle are the same as the
length and width of the rectangle, we have;
Perimeter of the rectangle = 2·x + 2·y = 68
Therefore;
\(\displaystyle x + y = \frac{68}{2} = 34\)
x + y = 34
The base of the right triangle = x
The height of the right triangle = y
By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)
Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60
Which gives;
∴√(x² + y²) = 60 - (x + y) = 60 - 34 = 26
The length of the hypotenuse side, √(x² + y²) = 26 cm
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The two way table shows the number of students that do or do not do chores and for those who receive a monthly allowance. Monthly AllowanceNo Monthly AllowanceChores248No Chores2716How many more students do not do chores than students who do chores?
The number of students who do not do chores is 12 more than the number of students who do chores.
According to the given two-way table:
| | Monthly Allowance | No Monthly Allowance |
|-----------------------|------------------|----------------------|
| Chores | 2 | 48 |
| No Chores | 27 | 16 |
To find the number of students who do not do chores, we add up the values in the "No Chores" row: 27 + 16 = 43.
To find the number of students who do chores, we add up the values in the "Chores" row: 2 + 48 = 50.
The number of students who do not do chores is 43, and the number of students who do chores is 50. To calculate the difference, we subtract the number of students who do chores from the number of students who do not do chores: 43 - 50 = -7.
Therefore, there are 7 fewer students who do chores than students who do not do chores.
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Sadie stands on a platform that is 15 ft. above the pool surface. The pool has a depth of 12 ft.
a. What value can be used to represent the water's surface?
27 ft. can be used to represent the water's surface if the platform is 15 ft. above the pool surface and the pool has a depth of 12 ft.
As Sadie stands on a platform that is 15 ft. above the pool surface. The pool has a depth of 12 ft. then, and the total height of the water surface is, the total hight,
The total height = distance between pool surface to platform + the depth of the pool
∵ The total height = 15 ft. + 12 ft.= 27 ft.
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In a right triangle ABC , C is the right angle What does sin B equal
Answer:
The answer is......
COS A
Which of the following is true about the
Pythagorean Theorem?
A: The Pythagorean Theorem can be used
to determine the side lengths of any right
triangle
B: The Pythagorean Theorem can be used to
determine the side lengths of any triangle.
C: The Pythagorean Theorem can be used
to determine the angle measures of any
right triangle.
D: The Pythagorean Theorem can be used
to determine the angle measures of any
triangle.
—
If you got a good answer, ima give you brainliest.
Answer:
A. The Pythagorean Theorem can be used to determine the side lengths of any right triangle
Step-by-step explanation:
The Pythagorean Theorem is supposed to be used to identify the SIDE lengths of ANY RIGHT TRIANGLE.
I also had this question today as well, and I got it correct :)
The statement i.e. true about the Pythagorean Theorem is option A.
A. The Pythagorean Theorem can be used to determine the side lengths of any right triangle
The following information should be considered;
It is to be used for identifying the side length for any kind of right triangle. The right triangle should be of 90 degree. Therefore, all the other options are wrong.
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Find the equation of the line passing through the given point and parallel to the given line.
(-1, 2), 2y = 6x + 13
The equation of the line passing through the given point and parallel to the given line (-1, 2), 2y = 6x + 13 will be y=3x+3.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.
\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)
It is given that, the equation of the line passing through the given point and parallel to the given line.(-1, 2), 2y = 6x + 13
The slope of the given line is,
2y = 6x + 13
y=3x+13/2
m=3
The equation of the line passing through the (-1, 2) and slope equal to 3 is,
y-2=3(x+1)
y-2=3x+1
y=3x+3
Thus, the equation of the line passing through the given point and parallel to the given line (-1, 2), 2y = 6x + 13 will be y=3x+3.
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A pizza shop charges $5 for a slice of pizza. They cut each whole pizza into 8 slices. They sold 107 pizzas by the slice. How much money did they make?
Answer:
$4280
Step-by-step explanation:
$5x8= $40
107x$40= $4280
A small grid connected wind turbine with a diameter of 3 m, a hub height of 15 m and a rated (installed) power of 1.5 kW was built in a rural area in the eastern part of Sabah. Its annual energy outpu
To determine the annual energy output of the small grid-connected wind turbine, additional information is needed, such as the average wind speed at the location and the power curve of the turbine. Without these details, it is not possible to provide a direct answer.
The annual energy output of a wind turbine depends on various factors, including the wind resource available at the site. The wind speed distribution and the power curve of the specific turbine model are crucial in estimating the energy production.
To calculate the annual energy output, the following steps can be taken:
Obtain the wind speed data for the site where the wind turbine is installed. Ideally, long-term wind speed measurements are required to capture the wind resource accurately.Analyze the wind speed data to determine the wind speed distribution, including average wind speed, wind speed frequency distribution, and wind speed variation throughout the year.Using the wind speed data and the power curve of the wind turbine, estimate the power output at different wind speeds.Multiply the power output at each wind speed by the corresponding frequency or probability of occurrence to determine the energy output.Sum up the energy outputs for all wind speeds to obtain the annual energy output.Without the specific wind speed data and power curve of the wind turbine, it is not possible to calculate the annual energy output accurately. These details are crucial in estimating the energy production of the small grid-connected wind turbine.
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what percent of 175 is 35
Answer:
20%
Step-by-step explanation:
35/175=x/100
35 divided by 1.75/ 175 divided by 1.75 =x/100
20/100=x/100
20=x
or
35/175=.2
.2= 20 %
Answer: 20%
Step-by-step explanation: hope this helps
what is an equation of a horizontal line that passes through the point (9, 3)?
y=3 is the equation of a horizontal line that passes through the point (9, 3)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
If a line passes through a point (x₁, y₁) and has a slope of m, then the
equation of the line is given by (y-y₁) = m(x-x₁).
Because the question states the line is horizontal, the slope is zero, or m=0.
Plugging the information into the slope equation gives:
(y-(3)) = 0(x-(9)).
y-3= 0
y= 3.
Hence, y=3 is the equation of a horizontal line that passes through the point (9, 3).
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A company expects that the number N(x) of a product sold during a week is related to the amount spent on advertising by the function N(x)=-6x3+180x²+2250x + 13,000, where x (with 0 ≤x≤25) is the amount spent on advertising in thousands of dollars. What is the point of diminishing returns?
The point of diminishing returns is
(Simplify your answer. Type an ordered pair. Do not use commas in the individual coordinates.)
The point of diminishing returns is (20.98, 21247.3).
The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.
Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.
The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:
0 = -18x² + 360x + 2250
Dividing by -18 simplifies the equation:
0 = x² - 20x - 125
Using the quadratic formula, we find the solutions to the equation:
x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)
x₁,₂ = 10 ± 5√5
Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.
To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:
N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8
N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8
From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.
To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).
Hence, the point of diminishing returns is approximately (20.98, 21247.3).
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Solve the following inequality: |2x|<14 A. 7
Answer:
x<7
Step-by-step explanation:
it just is
Answer:
x > 7
x < -7
Step-by-step explanation:
Absolute value inequalitiy entered
|2x| > 14
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |2x|
For the Negative case we'll use -(2x)
For the Positive case we'll use (2x)
-(2x) > 14
Multiply
-2x > 14
Divide both sides by 2
-x > 7
Multiply both sides by (-1)
Remember to flip the inequality sign
x < -7
Which is the solution for the Negative Case
(2x) > 14
Divide both sides by 2
x > 7
Which is the solution for the Positive Case
x < -7
x > 7
(-∞,-7)
(7,+∞)
An object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is
s(t) = −4.9t2 + 9.8t + 308.7,
where s is in meters. When does the object strike the ground?
this is the full answer for you're Q
please give me good
The time taken by the object to hit the ground will be 9 seconds.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that an object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is
s(t) = −4.9t²+ 9.8t + 308.7
To find the time taken put the function equal to zero.
−4.9t²+ 9.8t + 308.7 = 0
t² - 2t - 63 = 0
t² - 9t + 7t - 63 = 0
t ( t - 9 ) +7 ( t - 9 ) = 0
( t - 9 ) ( t + 7 ) = 0
t = 9 and -7(ignore)
t = 9 seconds
Therefore, the time taken by the object to hit the ground will be 9 seconds.
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(6.3x10^0)-(5x10^-2)
and also
(7x10^-3)+(8x10^-1)
Find a solution to y' = |y|, y(0) = 0. Does Picard’s theorem apply?
The solution to y' = |y|, y(0) = 0 is y(t) = 0. This is because the absolute value of y is always non-negative, so the derivative of y is always non-negative. Therefore, the function y(t) is always increasing. Since y(0) = 0, the function y(t) must always be equal to 0 for all t.
Picard's theorem states that if f(t, y) is continuous in t and y, and if there exists a constant L such that |f(t, y1) - f(t, y2)| ≤ L|y1 - y2| for all t, y1, and y2, then there exists a unique solution to the differential equation y' = f(t, y), y(t0) = y0.
In this case, f(t, y) = |y|, which is continuous in both t and y. Additionally, |f(t, y1) - f(t, y2)| = ||y1| - |y2|| ≤ |y1 - y2|, so the condition of Picard's theorem is satisfied. Therefore, Picard's theorem applies and there exists a unique solution to the differential equation y' = |y|, y(0) = 0.
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Which of the following numbers has the correct number of significant digits for the sum of 4.0125 and 5.72?
A. 9.7324
B. 9.732
C. 9.73
D. 9.7
Answer:
the answer to your question is 9.73
Answer:
A
Step-by-step explanation:
Because according to my calculations there are supposed to be 5 digits and for the answers for the question A is the only letter with an answer with 5 digits.
My answer was 9.7325(even though the answers is different they still have the same number of digits) and for A it is 9.7324 which is another 5 digits.
Here is why I got 5 digits.
4.0125
5.7200
_______
When we add these we have to add 0er's to 5.72 because it doesn't have enough digits to add so you add zero's to it.
So 5 +0=5 2 +0=2 1 +2=3 0 +7=7 and for our last number 4 + 5=9 and so our answer is ?
9.7325
and the 9 = 1 digit 7=2 digit 3= 3 digits 2= 4 digits and last 5 = 5 digits.
Hope this helps have a great day:)