Which angles of rotation will map the figure onto itself? Explain your reasoning and/or show your work.

Answer:

The correct answer is A: Can I divide all terms by a GCF?

explanation:

I took the quiz

The probability that the basketball player makes his first three-point shot on the third attempt is 0.38.

A discrete probability distribution known as a geometric distribution may be used to describe the likelihood of experiencing success for the first time following a string of failures. Up until the first success, a geometric distribution can undergo an infinite number of trials.

The number of separate trials necessary to achieve success is described by the geometric distribution,

which is a probability distribution.

In this scenario, the basketball player's three-point accuracy rate is 25%, which indicates that the probabilities of success (hitting a three-point shot) and failure (missing a three-point shot) are 0.25 and 1-p, respectively.

The likelihood that the basketball player will make his first three-point shot on the third try,

according to the geometric distribution formula, is:

P(x = 3) = (1-p)⁽³⁻¹⁾ × p

           = (0.75)²  × 0.25

           = 0.38

Hence,  there is a 38% probability that the basketball player will make his first three-point shot on the third attempt.

To learn more about geometric distribution;

https://brainly.com/question/14393735

#SPJ5

The general solution to the differential equation is M = (1/2)n² + Bn, where B is an arbitrary constant.

In calculus, differentiation is a process of finding the rate at which a function changes with respect to its input variable. It is the process of finding the derivative of a function, which represents the slope of the tangent line to the graph of the function at a given point.

The derivative of a function f(x) at a point x=a is denoted as f'(a) and is defined as the limit of the difference quotient as the interval between a and a+h approaches zero, where h is a small nonzero number.

The process of differentiation involves applying differentiation rules or formulas, which are a set of rules that make it easier to find the derivative of various functions. Some of the common rules include the power rule, product rule, quotient rule, and chain rule.

To solve the given differential equation:

\(\frac{d^{2}M }{dn^{2} } + 2n\frac{dM}{dn} =n\)

We can assume a solution of the form:

\(M= An^{p}\)

where A and p are constants to be determined.

Taking the first derivative of M with respect to n, we get:

\(\frac{dM}{dn} = Apn^{p-1}\)

Taking the second derivative of M with respect to n, we get:

\(\frac{d^{2}M }{dn^{2} }= A(p)(p-1)n^{p-2}\)

Substituting these expressions into the original differential equation, we get:

\(A(p)(p-1)n^{p-2} + 2Apn^{p-1}= n\)

Simplifying, we get:

\(A(p)(p-1)n^{p-2} + 2Apn^{p}=n^{p+1}\)

Since this equation must hold for all values of n, we can equate the coefficients of each power of n to get two equations:

A(p)(p-1) = 0

2Ap = 1

From the first equation, we get:

p = 0 or p = 1

If p = 0, then M = A, a constant. Substituting into the differential equation, we get:

0 = n

This is not true for all values of n, so p cannot be 0.

If p = 1, then M = An. Substituting into the differential equation, we get:

2An + 2nA = n

Simplifying, we get:

A = 1/2

Therefore, the solution to the differential equation is:

M = (1/2)n² + Bn

where B is a constant of integration.

Thus, the general solution to the differential equation is:

M = (1/2)n² + Bn

where B is an arbitrary constant.

To know more about equation visit:

https://brainly.com/question/16663279

#SPJ1

i think it is 60 because 30 divided by 3-4 equals 2Step-by-step explanation:

Answer: Choice A

Step-by-step explanation:

it increases

Answer:

81 days

Step-by-step explanation:

Formula to solve this type of equation \(t=\frac{k}{p}\)

t is time

k is a constant

p is people

We must substitute the values into the equation

\(54=\frac{k}{9}\)

\(k=486\)

Now we must substitute it to find the time

\(t=\frac{486}{6}\)

you get 81

It would take \(6\) builders  \(36\) days to complete the same house.

Builders are those person whose job is to build or repair houses and other buildings.

We have,

\(9\) builders take \(54\) days to complete a house.

So,

\(1\)  builder will take  \((\frac{54}{9})\)  days to complete a house,

In the same way,

\(6\)  builder will take  \((\frac{54}{9}*6)\)  days to complete a house,

i.e.

\(6\)  builder   \(=(\frac{54}{9}*6)= 36\) days.

Hence, we can say that it would take \(6\) builders  \(36\) days to complete the same house.

To know more about  builders and work click here

https://brainly.com/question/16924313

#SPJ2

0.2 × 10 = 2

u can check a calculator

Answer:

x=2812 6/7 or 2812.8571 if youd need a decimal.

Answer:

2,812.85

Step-by-step explanation:

4+7+9+(46 x 17 x 25) / 7

20 + (19,550/7) = 2,812.85

9514 1404 393

Answer:

  7.0 cm

Step-by-step explanation:

The relationship between radius and area of a sphere is ...

  A = 4πr²

Then the radius as a function of area is ...

  r = √(A/(4π)) = (√(A/π))/2

For an area of 616 cm², the corresponding radius is ...

  r = (√(616/π))/2 ≈ 7.0 cm . . . . radius of the orange

Hope you could understand.

If you have any query, feel free to ask.

The value of Sin(90) is equal to 1.

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: Sin(90) and to find the value using the unit circle

Rotate ‘r’ anticlockwise to form a 90° angle with the positive x-axis.

The sin of 90 degrees equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r.

The value of sin 90 degrees can be calculated by constructing an angle of 90° with the x-axis, and then finding the coordinates of the corresponding point (0, 1) on the unit circle. The value of sin 90° is equal to the y-coordinate (1). ∴ sin 90° = 1.

Hence, Sin (90) is equal to 1.

Learn more about trigonometric functions here:

https://brainly.com/question/6904750

#SPJ1

Answer:

y=-6

Step-by-step explanation:

The y value isn't changing when the x value does. This means there is no rate of change or gradient. So in y=mx+c m=0 so we get y=c, c is always -6.

Answer:

C.

Repeat this experiment with a very large sample of people and calculate the percentage of people who make four correct guesses out of six tries

Step-by-step explanation:

Why I choose the answer c is because for this kind of experiment to determine probability..it needs to be tested on variety of people as different people have different taste issue.

Trying it on one person alone will accumulate much error that will be very hard and uneasy to detect.

If a sample consists of 600 test scores, 516 of them would be at or below the 86th percentile. If a sample consists of 600 test scores, 228 of them would be at or above the 62th percentile.

A percentile is a score that compares a specific score to the scores of the other members of a group. It displays the proportion of other scores that a given score outperformed. For instance, if you have a test score of 75 and are placed in the 85th percentile, it signifies that your score is greater than those of 85% of other test takers.

Given that,

In general, 70 % of the values in a data set lie at or below the 70th percentile.

20 % of the values in a data set lie at or above the 20th percentile.

Generally percentile defines the percentage of a data set that is below or at a value that is being considered.

Hence the percentage of the values of a data set that lies below or at the 16th percentile is  16%

Also  the values of a data set that lies below or at the 24th percentile is  24%

Given a sample of 600 test scores , the number of test scores that will be at or below the 86th percentile is 86% of  600 which is mathematically represented as:

K = \(\frac{86}{100}\) × 600

K = 516 test scores

Given a sample of 600 test scores , the number number of test scores that will be above  the 62 th percentile is (100 - 62 = 38 )% of  600 which is mathematically represented as:

a = \(\frac{38}{100}\) × 600

a = 228 test scores.

To know more about percentile refer to:

https://brainly.com/question/28509003

#SPJ4

Answer:

$155

Step-by-step explanation:

If the TV costs $985 and Jasper pays 6 * $190 = 1190 then Jasper pays $1140 - $985 = $155 in interest.

Answer:

155

Step-by-step explanation:

190

×6=1140-985=155

The x-intercept of the function is (-1/3, 0) and (5, 0)

Given is a graph of a parabola having equation y = -3x²+14x+5, we need to find the x-intercept of the graph,

So to find the x-intercept put y = 0,

Therefore,

-3x²+14x+5 = 0

-3x²+15x-x+5 = 0

-3x(x-5)-1(x-5) = 0

(-3x-1)(x-5) = 0

Therefore,

x = -1/3 and x = 5

Hence the x-intercept of the function is (-1/3, 0) and (5, 0)

Learn more about x-intercept click;

https://brainly.com/question/14180189

#SPJ1

Answer:

Inverse of  \(- 5 x - 4 =\) \(\frac{x + 4}{5}\)

Step-by-step explanation:

Let y = -5x-4

Swap y and x

x = -5y -4

Solve for y

x+4 = -5y

\(y=- \frac{x + 4}{5}\)  which is the inverse

A triangular prism is a prism which has both of its base sides as a rectangle. The length of side AB is 5/(√2) cm.

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

The area of AEDC is 25 cm². Therefore,

AEDC = AC²

25 cm² = AC²

AC = 5 cm

In ΔABC,

AB² + BC² = AC²

Since AB=BC,

2(AB²) = AC²

AB² = 25/2

AB = 5/√2 cm

Hence, the length of side AB is 5/(√2) cm.

Learn more about Volumes of triangular prisms:

https://brainly.com/question/16909441

#SPJ1

Answer:

50

Step-by-step explanation:

3/10 of x is 15, which means that 1/10 of x must be 5 because 15/3 = 5.

Now we can multiply 5 x 10, which is 50, so we know that x is equal to fifty

Answer:

=15

Step-by-step explanation:

Furthermore, you can convert "three" to "3" and "tenths" to "10" and then the equation and answer is:

3/10 x 15 = 4.50

Answer:

B.

Step-by-step explanation:

The answer is B because 3/5 of 1/2 is less than 1/2. The equation that represents this problem is

3/5 x 1/2 = 3/10

3/10 < 1/2

Therefore, 3/5 is less than 1/2!

Answer:

Minimum possible K = 307

Step-by-step explanation:

Attached below is the detailed solution

Given set { 1, 2 , .......... 2022 }

The largest subset will contain prime numbers because they are not multiples of any number but 1

Answer:

B

Step-by-step explanation:

Answer:

b on edge

Step-by-step explanation:

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

For more questions on trigonometric form

https://brainly.com/question/31744474

#SPJ8

The expression is simplified to r²( r + 1) - (q - s²)

Algebraic expressions are mathematical expressions made up of variables and constants.

They are mostly made up of algebraic operations such as addition, subtraction, division, multiplication, bracket, parenthesis, etc

Given the expression;

r3 – [q + (r – s)2 ]

With the knowledge of BODMAS, we expand the bracket

r³ - q + ( r + s²)

r³ - q + r² - s²

Now, let's collect like terms

r³ + r² - q - s²

(r³ + r²) - (q - s²)

Factor out r, we then have;

r²( r + 1) - (q - s²)

The expression is simplified to r²( r + 1) - (q - s²)

Thus, the expression is simplified to r²( r + 1) - (q - s²)

Learn more about algebraic expressions here:

https://brainly.com/question/4344214

#SPJ1

Answer:

Option 1

Step-by-step explanation:

\(\frac{2x^2 - 7x-4}{x^2 - 5x+4}=\frac{(x-4)(2x+1)}{(x-4)(x-1)}=\frac{2x+1}{x-1}\)

Answer:

Yes.

Step-by-step explanation:

Every x (first numbers in pairs) is different, so the relation is a function. There are two of the same y's (second numbers in pairs), but that's okay to have in a function.

Hope this helps you!! Have a nice day ^^

The given relation is a function.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences

Given coordinates are

(2,3) (4,7) (3,9) (5,7)

As, for the input 2 the out put is 3

for the input 4 the out put is 7

for the input 3 the out put is 9

for the input 5 the out put is 7

So, there are distinct input values and each have output.

hence, the given relation is a function.

Learn more about function here:

https://brainly.com/question/12431044

#SPJ2

Answer:

No

Step-by-step explanation:

Check by changing to a common denominator

Answer:

1.a=5cm

Surface area :6a²=6×5²=150cm²

2.r=3cm

h=5cm

total surface area of cylinder =2πr(r+h)

=2π×3(3+5)=48π cm²

3.

l=4m

b=5m

h=2m

now.surface area =2(lb+lh+bh)

=2(4*5+4*2+5*2)

=76m²

4.

r=6cm

surface area =4πr²=4*π*6²=144πcm²

5.

slant height (S)=8cm

length =breadth=(L)=4cm

Surface area of pyramid =area of base + 2* area of trainglular face

=L²+2*S*L

=4²+2*8*4

=80cm²

The mass of the cubic cuboid is 1.479 kilograms.

Dimensionally speaking, density (ρ), in kilograms per cubic meter, is mass (m), in kilograms, per unit volume (V), in cubic meters. By the assumption of uniform density within the copper cuboid, the mass of the solid is equal to:

m = ρ · V

Where V is the volume of cuboid, in cubic meters.

And the volume of cuboid is:

V = w · h · l

Where:

Please notice that a kilogram equals 1000 grams and a meter equals 100 centimeters.

First, calculate the volume of the cuboid:

V = (0.05 m) · (0.03 m) · (0.10 m)

V = 1.5 × 10⁻⁴ m³

Second, determine the mass of the cuboid:

m = (9.86 g / cm³) · (1 kg / 1000 g) · (1000000 cm³ / m³) · (1.5 × 10⁻⁴ m³)

m = 1.479 kg

To learn more on density: https://brainly.com/question/15164682

#SPJ1

If John solved the equation x² - 10x + 8 = 0 by completing the square, one of the steps in his process would be: A. (x - 5)² = 17.

In Mathematics, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given quadratic equation by using the completing the square method;

x² - 10x + 8 = 0

x² - 10x = -8

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² - 10x + (-10/2)² = 8 + (-10/2)²

x² - 10x + 25 = -8 + 25

x² - 10x + 25 = 17

By simplifying, we have;

(x - 5)² = 17

Read more on quadratic functions here: brainly.com/question/14201243

#SPJ1

The expression for the perimeter of the right triangle with hypotenuse 2p + 8 and base p - 5 is: perimeter = (p - 5) + sqrt((2p + 8)^2 - (p - 5)^2) + (2p + 8)

What is triangle ?

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

In a right triangle, the hypotenuse (the longest side) is opposite the right angle, and the other two sides are called the legs. In this case, the hypotenuse is 2p + 8 and one of the legs (the base) is p - 5.

To find the third side (the other leg), we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. In other words:

(hypotenuse)^2 = (leg 1)^2 + (leg 2)^2

Substituting the given values, we get:

(2p + 8)^2 = (p - 5)^2 + (leg 2)^2

Simplifying and solving for leg 2, we get:

leg 2 = sqrt((2p + 8)^2 - (p - 5)^2)

Now we can use the perimeter formula, which is the sum of the lengths of all the sides of the triangle. In this case, the perimeter of the triangle is:

perimeter = (leg 1) + (leg 2) + (hypotenuse)

Substituting the given values and the expression we found for leg 2, we get:

perimeter = (p - 5) + sqrt((2p + 8)^2 - (p - 5)^2) + (2p + 8)

Therefore, the expression for the perimeter of the right triangle with hypotenuse 2p + 8 and base p - 5 is: perimeter = (p - 5) + sqrt((2p + 8)^2 - (p - 5)^2) + (2p + 8)

To learn more about Triangle from given link.

brainly.com/question/2773823

#SPJ1