Answer:
12.25
Step-by-step explanation:
77 divided by 22/7 = 24.5 That is the diameter
12.25 is the radius
Answer:
The answer is 12.25 cm
Step-by-step explanation:
Given;Circumference (C) = 77 cmπ = 22/7To Find;Radius (r) = ?Formula;C = 2πr2πr = C
To make subject r divide both side by 2π we get,
2πr/2π = C/2π
r = C/2π
r = 77 ÷ 2 × 22/7 cm
r = 77 × 7 ÷ 2 × 22 cm
r = 539 ÷ 44 cm
r = 12.25 cm
Thus, The radius (r) of the circle is 12.25 cm
-TheUnknownScientist 72
Fill in the blank with the equation of the line shown for each representation below (y = mx + b). **Pay attention to the scale on the x and y axes!
Answer:
y= 2x + 4
Step-by-step explanation:
can anyone help pls i am struggling on this
Answer: B is 2x
Step-by-step explanation:
x+5
x= 2
A linear function has an x-intercept of 8 and a y-intercept of 4 . which of these is an equation of the linear function?
y = (-1/2)x + 4 is the equation for the linear function with an x-intercept of 8 and a y-intercept of 4.
How to find the slope of the line ?We are aware that lines might have several kinds of equations; the typical form is
The equation of a line in slope-intercept form is Ax + By + c = 0, and
y = mx + b.
m is the slope, and b is the y-intercept.
The y-intercept, or (0,b), is the point where the line crosses the y-axis at x = 0. The slope represents the rate of change of the y-axis relative to the x-axis.
Given, An x-intercept for a linear function is 8, and a y-intercept is 4.
The two points on the line are therefore (8, 0) and (0, 4).
Slope(m) is now equal to (4 - 0)/(0 - 8).
m slope = 4/8.
slope(m) equals -1/2.
With a y-intercept of 4, it represents the value of b in the equation y = mx + b.
Consequently, the equation is y = (-1/2)x + 4 is linear.
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HELPPP PLS
2 Line segment MN has a midpoint of (7, 3.5). Point N is located at (14,7). What are
the coordinates for point M?
Answer:
It would be (0,0)
Step-by-step explanation:
7-7=0 and 3.5-3.5=0
1. Your mother said you could have new carpeting in your room if you compute
the amount of carpeting needed and the cost. The length of your room is 18.5
feet and the width is 17 feet. The cost of a medium grade of carpeting is $20 per
square yard.
a. How much carpeting will you need for your room?
b. How much will it cost to recarpet your room?
Answer:
A) 34.94444 square yards
B) $698.89
Step-by-step explanation:
17x18.5=314.5 square feet
314.5÷9=34.94444 square yards
a) 34.94444 square yards
34.94444x20=698.8888
b) $698.89
a rectangular prism is 9 yards long, 16 yards wide, and 6 yards high. what is the surface area of the rectangular prism?
The surface area of the rectangular prism is 588 square yards. The total region or area covered by all the faces of a rectangular prism is defined as the surface area of a rectangular prism.
It is a three-dimensional shape. It has six faces, and all the faces are rectangular-shaped. Therefore, both the bases of a rectangular prism must also be rectangles.
- Face 1: 9 yards long and 6 yards high, so its area is 9 x 6 = 54 square yards.
- Face 2: 9 yards long and 6 yards high, so its area is 9 x 6 = 54 square yards.
- Face 3: 16 yards wide and 6 yards high, so its area is 16 x 6 = 96 square yards.
- Face 4: 16 yards wide and 6 yards high, so its area is 16 x 6 = 96 square yards.
- Face 5: 9 yards long and 16 yards wide, so its area is 9 x 16 = 144 square yards.
- Face 6: 9 yards long and 16 yards wide, so its area is 9 x 16 = 144 square yards.
The surface area = 54 + 54 + 96 + 96 + 144 + 144
= 588 square yards.
Surface area of the rectangular prism is 588 square yards.
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i need help with this answer
Answer:
1660
Step-by-step explanation:
Since it is in square meters and it's a container I will assume it is asking for surface area. Surface area of a rectangular prism is:
2(7*4)+2(7*5)+2(5*4)= 166
Multiply by 10 since there are 10 containers and you get 1,660 square meters.
help me please !!!!!!
Answer:
yes the answer is C ! none of the other answers are logical
what is the diameter of 12mm and 8mm
Answer:
diameter 12mm
Step-by-step explanation:
the drawing is composed of a rectangle and a semicircle. find the area of the figure to the nearest unit. not drawn to scale
a. 41 cm2
b. 220 cm2
c. 410 cm2
d. 820 cm2
Answer:
c
Step-by-step explanation:
(5) (12 points) Find the general solution to the second order equation: y′′ +2y ′ +17y=0
The general solution to the second-order differential equation y'' + 2y' + 17y = 0 is given by y(x) = C₁e^(-x)cos(4x) + C₂e^(-x)sin(4x), where C₁ and C₂ are arbitrary constants.
To find the general solution to the given second-order differential equation, we first assume a solution of the form y(x) = e^(rx). Substituting this into the differential equation, we get the characteristic equation r² + 2r + 17 = 0. Solving this quadratic equation, we find two distinct complex conjugate roots: r = -1 ± 4i.
Using these roots, we can express the general solution as y(x) = C₁e^(-x)cos(4x) + C₂e^(-x)sin(4x), where C₁ and C₂ are arbitrary constants.
The term C₁e^(-x)cos(4x) represents the real part of the complex exponential solution, while C₂e^(-x)sin(4x) represents the imaginary part. The exponential term e^(-x) ensures that the solution decays as x approaches infinity.
In summary, the general solution to the second-order differential equation y'' + 2y' + 17y = 0 is given by y(x) = C₁e^(-x)cos(4x) + C₂e^(-x)sin(4x), where C₁ and C₂ are arbitrary constants.
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3. Consider a polar curve r =-2 sin θ (a) Sketch the curve with the given polar equation by first sketching the graph of r as a function of θ in Cartesian coordinates. (b) Sketch the graph of the same polar curve but by converting it in to the Carte- sian form. (c) Are the graphs from Part(a) and Part(b) are same or different? Why?
The polar curve r = -2 sin θ can be graphed by first plotting the graph of r as a function of θ in Cartesian coordinates. To do this, we can set r = y and θ = x, and then plot the resulting equation y = -2 sin x.
This graph will have the shape of a sinusoidal wave with peaks at y = 2 and troughs at y = -2.
To sketch the same polar curve in Cartesian form, we can use the conversion equations x = r cos θ and y = r sin θ. Substituting in the given polar equation, we get x = -2 sin θ cos θ and y = -2 sin² θ. Simplifying these equations, we get x = -sin 2θ and y = -2/3 (1-cos² θ). This graph will have the shape of a four-petal rose.
The graphs from Part (a) and Part (b) are different because they represent different equations. Part (a) is the graph of y = -2 sin x, which is a sinusoidal wave. Part (b) is the graph of a four-petal rose. However, both graphs share some similarities in terms of their shape and symmetry. They are both symmetrical about the origin and have a repeating pattern.
In conclusion, we can sketch a polar curve by first graphing r as a function of θ in Cartesian coordinates and then converting it to Cartesian form. The resulting graphs may look different, but they often share similar patterns and symmetries.
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What is the difference between arithmetic and exponential growth.
Exponential growth that shows greater increases with passing time, creating the curve of an exponential function and Arithmetic growth takes place when a constant is being added such that the amount of addition remains constant.
The amounts added grow by a fixed rate of growth, expressed in percentages. Due to the fact that these remain constant while the amounts added rise, growth is then typically measured in doubling times.
Due to the fact that all populations of organisms have the potential to experience exponential growth, the concept of exponential growth is particularly intriguing in the field of population biology.
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Luke drove 260 miles in 4 hours. If he continued at the same rate how far would he travel in 18 hours?
Answer:
(260/4)*18 = 1,170 miles
Step-by-step explanation:
Jayden's mother bought him the new PlayStation 5 Digital Edition for $420.15, including tax. She made him promise to pay her back in monthly installments. He made a down payment of $35.00 and paid the balance in 12 equal monthly payments. What was Jayden's monthly payment for this PlayStation 5?
A 32.10
B 35.01
C. 37.93
D 385.15
Answer:
A.32.10
Step-by-step explanation:
You have to remember to subtract the $35 then start to figure out how much he paid every month for a year.
Explanation of Baye's theorem.
I will be including both an basic explanation of what it is and its proof.
I'm guessing you are either learning about conditional probability at school or preparing for competitions.
Baye's theorem states:
\(P(A|B)=\frac{P(B|A)P(A)}{P(B)}\)
That is the theorem itself and it means that the probability that event A happens given B is true equals the probability event B happens given A is true times the probability event A happens divided by the probability B happens.
That was the basic of the theorem and the proof of this is basically just testing how well you understand what conditional probability is.
\(P(A|B)=\frac{P(AintersectB)}{P(B)}\)
\(P(B|A)=\frac{P(BintersectA)}{P(A)}\)
Now we know that the probably that A and B both happens is the same as the probably that B and A both happens.
Therefore P(A|B) can be seen as P(B|A) multiplied by P(A) and then divided by P(B) which gives the right hand side of the first equation. And this is basically the theorem.
\(P(A|B)=\frac{P(B|A)P(A)}{P(B)}\)
**Note P(B) have to be not equal to 0 because having a 0 in the denominator would make this equation undefined.
If you have any questions or need further explanations please ask me in the comments of the answer, I hope this helped!
The value of \sqrt{45 is between what.
Answer:
Between 6 and 7
Step-by-step explanation:
sqrt(36) = 6 and sqrt(49) = 7. 36<45<49, so sqrt(45) is between 6 and 7
Unless specified, all approximating rectangles are assumed to have the same width. Evaluate the upper and lower sums for f(x) = 1 + cos cos($) -ISXS*, with n = 3, 4, and 6. Illustrate each case with a sketch similar to the figure shown below. (Round your answers to two decimal places.) n = 3: upper sum ll lower sum n = 4: upper sum II lower sum n = 6: upper sum IO lower sum
In this Trigonometric Functions F(x) = 1 + cos(1/X): n=3 (12.01, 8.10), n=4 (11.65,8.50), and n=6 (11.24, 9.12), with their upper and lower value
What is Trigonometric Functions?
Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.
F(x) = 1 + cos(1/X)
for n=3
Upper sum = 12.01
Lower sum = 8.10
Δx = (b-a)/n = 2π / 3
for n=4
Upper sum = 11.65
Lower sum = 8.50
Δx = (b-a)/n = π / 2
for n=6
Upper sum = 11.24
Lower sum = 9.12
Δx = (b-a)/n = π / 3
Hence, n=3 (12.01, 8.10), n=4 (11.65,8.50), and n=6 (11.24, 9.12), with their upper and lower value.
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Evaluate C(9, 9).
A. 1
B. 0
C. 9
the formula is
n!/(n-k)!)k!
remember 0! = 1
so
9!/(9!-0!)9! = 9!/9! = 1
so
B. 1
Subtract. 6 1 1 II 8 2
To add and subtract fractions, the denominators ( bottom numbers ) must be equal.
So, we have to multiply 1/2 by 4/4
\(\frac{1}{2}\cdot\frac{4}{4}=\frac{4}{8}\)So:
\(\frac{6}{8}-\frac{4}{8}=\frac{2}{8}\)simplify by 2
\(\frac{1}{4}\)solve for x 9×(3÷x)=26
The solution to the equation 9 × (3 ÷ x) = 26 is x = 1.038.
To solve the equation 9 × (3 ÷ x) = 26 for x, we can follow these steps:
Simplify the expression on the left side of the equation:
9 × (3 ÷ x) = 26
27 ÷ x = 26
Multiply both sides of the equation by x to eliminate the division:
(27 ÷ x) × x = 26 × x
27 = 26x
Divide both sides of the equation by 26 to solve for x:
27 ÷ 26 = (26x) ÷ 26
1.038 = x
As a result, x = 1.038 is the answer to the equation 9 (3 x) = 26.
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5)A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.
Answer: your Answer is $75 dollars.
Step-by-step explanation:
$25 + $50 = $75
Answer:
\(C = 50x + 25\)
Step-by-step explanation:
The $50 charge can be interpreted as the slope, as it varies based on the amount of time the service takes. The $25 can be interpreted as the y-intercept, as you'll get charged $25 no matter how long the service takes. Thus, we can plug these values into the slope-intercept form equation.
\(y = mx + b\\C = 50x + 25\)
3, 12 , 48 Whats the 11th term ??
Given:-
\(3,12,48,\ldots\)To find:-
The 11th term.
So observing the pattern its clear that the term is increasing by multiplying with 4. so we get the fourth term as,
\(48\times4=192\)So the fifth term is,
\(192\times4=768\)So the sixth term is,
\(768\times4=3072\)So the seventh term is,
\(3072\times4=12288\)So the eigthth term is,
\(12288\times4=49152\)So the ninth term is,
\(49152\times4=196608\)So the tenth term is,
\(196608\times4=786432\)So the eleventh term is,
\(786432\times4=3145728\)So the required 11th term is 3145728.
What is the difference between vertical and horizontal lines?
Answer:
A vertical line is any line parallel to the vertical direction. A horizontal line is any line normal to a vertical line. Horizontal lines do not cross each other.
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 4x^2 - 3x + 1, [0, 2] a. Yes, it does not matter if f is continuous or differentiate, every function satisfies the Mean Value Theorem. b. Yes, f is continuous on [0, 2] and differentiate on (0, 2) since polynomials are continuous and differentiable on R. c. No, f is not continuous on T [0, 2]. d. No, f is continuous on [0, 2] but not differentiable on (0, 2). e. There is not enough information to verify if this function satisfies the Mean value Theorem.
Yes, f is continuous on [0, 2] and differentiate on (0, 2) since polynomials are continuous and differentiable on R. So, The correct option is b.
What is the Mean Value Theorem?The Mean Value Theorem (MVT) is a theorem that connects the derivative of a function with the slope of a line. MVT is a statement about the relationship between a function and its slope, rather than the function itself.
The Mean Value Theorem is said to hold for a function when there is a point in the domain at which the tangent line to the graph is parallel to the secant line to the graph.
In calculus, the Mean Value Theorem is important because it guarantees that certain functions are continuous on a given interval.
What is the formula for the Mean Value Theorem?The Mean Value Theorem states that if f is continuous on [a, b] and differentiable on (a, b), then there exists a number c in (a, b) such that f'(c) = [f(b) - f(a)]/(b - a).
For the given function f(x) = 4x^2 - 3x + 1, [0, 2], it is a polynomial function.
Polynomials are continuous and differentiable on the entire real number line.
Therefore, the option "b. Yes, f is continuous on [0, 2] and differentiate on (0, 2) since polynomials are continuous and differentiable on R" is the correct option.
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Determine if the sequence defined by an = 2 − (0.2)n lim n→[infinity] an
The final conclusion is limit of the sequence as n approaches infinity is 2.
In Mathematics, a limit is defined as a value that a function approaches the output for the given input values. Limits are important in calculus and mathematical analysis and used to define integrals, derivatives, and continuity.
To determine the limit of the sequence defined by an = 2 − (0.2)n as n approaches infinity, we can substitute infinity for n in the expression. Doing so gives us:
lim n→[infinity] an = lim n→[infinity] (2 − (0.2)n) = 2 − lim n→[infinity] (0.2)n
Since 0.2 is between -1 and 1, we know that as n approaches infinity, (0.2)n approaches 0. Therefore, we have:
lim n→[infinity] an = 2 − lim n→[infinity] (0.2)n = 2 - 0 = 2
So the limit of the sequence as n approaches infinity is 2.
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at the 1997 rate of consumption, about how long will the estimated 2,000 billion barrels of oil last?a. 25 yearsb. 50 yearsc. 75 yearsd. 200 yearse. 500 years
As the consumption rate of 1997 estimated 2,000 billion barrels of oil last in 74.34 approx 75 year .
As here the rate of 1997 is not given which will be find in the below link which is 73.7000 millions barrels per day was the consumption of oil. here we have awalible the data of per days and we have to calculate for year so in year 1997 there was 365 days so comsumption of oil yearly was .
1997 consumption = 73.700 million barrels per day
so for 1 year 73.700 million *365 =26,900.5 million barrels per day
her we find the rate of yearly so by this rate we will calculate the consumption of 2000 billion barrels of oil
2000 billion = 2,000,000 millions
here we are calculation this in million
so for 2,000,000 million will be
2,000,000 million /26,900.5 million =74.34 year
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compute, using integration, the area of a circle of radius r centered at the origin by considering this as the area of a region bounded by two curves.
The area of the circle of radius r centered at the origin is π\(a^{2}\)
Since the circle is symmetrical in relation to the x and y axes, we can calculate the area of a quarter of a circle and multiply it by 4 to get the entire circle's area.
The equation y y = + mn [a 2 - x 2] must be solved.
Y = [a 2 - x 2] = a [1 - x 2 / a 2] is the equation for the upper semicircle (y positive).
Using integrals, we can calculate the area of the circle's top right quarter as shown below.
(1 / 4) Circle's area is equal to 0a a [1 - x 2 / a 2]. dx
Let's replace x/a with sin t to make sin t equal to x/a, dx equal to a cos t dt, and the area is given by
The formula for area of a circle is (1 / 4) Area of circle = 0/2 a 2 (1 - sin2 t) cos t dt
Now that t can range from 0 to /2, we utilize the trigonometric identity [1 - sin2 t] = cos t, which equals (1 / 4) Circle area equals 0/2 a 2 cos2 t dt.
To linearize the integrand, use the trigonometric equation cos2 t = (cos 2t + 1) / 2;
(1 / 4) Circle's area is equal to 0/2 a (cos 2t + 1) / 2 dt.
the integral (1 / 4) be evaluated. Circle's area is equal to (1/2) a2 [(1/2) sin 2t + t]. 0π/2\s= (1/4) π a 2
The circle's entire area is calculated by multiplying by 4.
Area of a circle is equal to 4 * (1/4) a 2 a 2. additional references on integrals and calculus applications.
Area of circle = 4 * (1/4) π a 2 = π a 2 More references on integrals and their applications in calculus.
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II
Initial Knowledge
This morning, Leila's car had 19.79 gallons of fuel. Now, 2.8 gallons are left. How much fuel did Leila use?
Answer:
\(19.79 - 2.8 = 16.99gallons\)
solve the inequality 4x-7<5
Answer:
x < 3
Step-by-step explanation:
4x -7 < 5
4x < 12
x < 3
Answer:x < 3
Step-by-step explanation:4x -7 < 5
4x < 12
x < 3