The cylinder below has a volume of 2,512 cm³ and a height of 8 centimeters. What is the radius of the cylinder? Use 3.14 for pi. explain pls

Answer:

C

Step-by-step explanation:

Applying the definition of bisection, the missing measure are:

m<FBC = 78°

m<ABD = 24°

m<CBE = 24°

m<DBF = 78°

m<ABE = 156°

When an angle is bisected by a line, two equal angles are formed, thus, it is implied that the angle is bisected.

Given:

BF bisects DBC into angles DBF and FBG

m<DBF = 8x - 10

m<FBC = 5x + 23

Therefore:

m<FBC = m<DBF

Substitute

5x + 23 = 8x - 10

5x - 8x = -23 - 10

-3x = -33

x = 11

m<FBC = m<DBF = 8x - 10 = 8(11) - 10 = 78

m<FBC = 78°

m<DBF = 78°

m<CBE = 180 - 78 - 78 = 24°

m<ABD = m<CBE = 24° [vertical angles]

m<ABE = 180 - m<ABD = 180 - 24 = 156°

In summary, applying the definition of bisection, the missing measure are:

m<FBC = 78°

m<ABD = 24°

m<CBE = 24°

m<DBF = 78°

m<ABE = 156°

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The number of terms in the expression, 6 + 2 x - 4 y + 5 z is 4 terms.

In the expression 6 + 2x - 4y + 5z, the number of terms is four, not the number of signs. The terms in this expression are:

Each term is separated by an operator (either addition or subtraction), which is represented by a sign. Therefore, the expression contains three addition signs and one subtraction sign.

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The full question is:

How many terms are in the following expression 6 + 2 x - 4 y + 5 z

Answer:

from 4:15 to 5:45 is 90 mins, or 1 hour and 30 mins. if you add 1 hour, 30 mins + 1 hour, 30 mins + 1 hour, 30 mins you will get 3 hours, 90 mins. this becomes 4 hours and 30 mins.

Step-by-step explanation:

Answer:

4.5 stup1dhfalih;lhs;iyqwrpo8tpy vwo;yprwtywouyt oyweoiywerioy2408t479569253870349704937084585234843684304638348643983 46439643964389435 836295

Step-by-step explanation:

Answer:

A sample is a subset of the population.

y = √(x+1)-3

\(Graph {y = sqrt(x+1)-3 [-10, 10, -5, 5]}\)

Graph is a diagram that is used to represent data or information. It is a visual representation of data in the form of points, lines, bars, and other shapes. Graphs can be used to show relationships between different quantities, to compare data, and to show changes over time. Graphs are useful for quickly conveying information in an easy-to-understand visual format. They are especially useful for displaying complex data in an intuitive way.

For example, A bar graph can be used to compare the average monthly temperature of five different cities. The x-axis would show the five cities, while the y-axis would show the temperature. Bars would be drawn to represent the temperature of each city. This would make it easy to visually compare the temperatures of the different cities.

The graph of y = √(x+1)-3 is shown above.

To get three points to graph, let's work through the following examples:

When x = 0, y = √(0+1)-3 = 0-3 = -3

When x = 4, y = √(4+1)-3 = 2-3 = -1

When x = 8, y = √(8+1)-3 = 3-3 = 0

Therefore, the three points to graph are (0,-3), (4,-1), and (8, 0).

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Based on the given options, the diagram that best represents the activity of a sales clerk manually preparing a sale receipt during a power outage would be option D.

A trapezoid could represent the shape of a receipt, a curved side rectangle could represent the shape of the clerk's desk or the paper she is using, and a circle could represent the shape of a calculator or cash register. Therefore, a trapezoid to a curved side rectangle to a circle could represent the process of the clerk manually calculating and recording the sale amount and inputting it into a calculator or cash register to produce a receipt.

It is important to note that during a power outage, technology-dependent activities such as electronic sales and transactions may be disrupted, and manual methods may have to be used as a backup. This highlights the power of technology in our daily lives and the impact that power outages can have on businesses and individuals.
The question is about selecting the correct diagram that represents the sales clerk manually preparing a sale receipt due to a power outage. Given the options:

a. trapezoid to curvy side rectangle to curved rectangle
b. curved side rectangle to circle to curved rectangle
c. circle to curved side rectangle to curved rectangle
d. trapezoid to curved side rectangle to circle

The appropriate answer for this question cannot be determined based on the provided information. Diagrams typically require visual representation, and the description of the shapes alone is insufficient to convey the activity of preparing a receipt manually. Moreover, the terms "power," "outage," "clerk," "receipt," "trapezoid," "curved," and "curved" don't necessarily correspond to the shapes given in the options.

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The smallest integer solution to the inequality 6x+2>2x+23 is 6.

What is an inequality?

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations, including:

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

Given, the inequality is 6x+2>2x+23

⇒ 6x-2x > 23-2

⇒ 4x > 21

⇒ x >21/4

⇒ x > 5.25

Hence, the smallest integer satisfying the inequality would be 6.

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Table of ordered pair for the equation y =-13x +4 is given by (0,4) and (1,-9).

As given in the question,

Given equation is equal to :

y = -13x + 4

Substitute x =0 in the given equation

y = -13 (0) + 4

⇒ y = 0 +4

⇒ y = 4

Ordered pair is (0,4)

Substitute x=1 in the given equation

y = -13(1) +4

⇒ y = -9

Ordered pair is (1,-9)

Table of the ordered pair is

x  :   0        1

y  :   4       -9

Graph of the two plot points A(0,4) and B(1,-9) attached.

Therefore, table of ordered pair for the equation y =-13x +4 is given by (0,4) and (1,-9).

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Statement (B) "an invertible function is a function that has an inverse that is also a function" best describes an invertible function.

So, we now know that an invertible function is a function that has an inverse which is also a function.

Therefore, statement (B) "an invertible function is a function that has an inverse that is also a function" best describes an invertible function.

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The change-of-coordinates matrix from basis B to basis C is given by:

| -5 0 | | | | -90 80₂ |

The change-of-coordinates matrix from basis B to basis C can be found by expressing the basis vectors of B in terms of the basis vectors of C.

In this case, we have B = (b, b₂) and C = (₁, ₁.₂). Given that b = -5e and b₂ = -90 + 80₂, we can find the change-of-coordinates matrix.

To express b in terms of the basis vectors of C, we need to find the coordinates of b with respect to C. Since b = -5e, we have -5e = x₁ + x₂₁. Solving this equation, we find x₁ = -5 and x₂₁ = 0.

Similarly, for b₂ = -90 + 80₂, we have -90 + 80₂ = x₁ + x₂₁. By solving this equation, we get x₁ = -90 and x₂₁ = 80.

Therefore, the change-of-coordinates matrix from B to C is:

| x₁ | | -5 0 |

| | = | |

| x₂₁ | | -90 80₂ |

In summary, the change-of-coordinates matrix from basis B to basis C is given by:

| -5 0 |

| |

| -90 80₂ |

This matrix allows us to convert coordinates from the B basis to the C basis.

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The derivative of the polynomial function f(x) is f'(x) = 15x⁴ + 8x³ - 15x² + 14x + 9.

To define a polynomial function in standard form with a degree of 5 and at least 4 distinct coefficients, we can use the general form:

f(x) = a₅x⁵ + a₄x⁴ + a₃x³ + a₂x² + a₁x + a₀,

where a₅, a₄, a₃, a₂, a₁, and a₀ are the coefficients of the polynomial function.

Let's assume the following coefficients for our polynomial function:

f(x) = 3x⁵ + 2x⁴ - 5x³ + 7x² + 9x - 4.

This polynomial function is of degree 5 and has at least 4 distinct coefficients (3, 2, -5, 7, 9). The coefficient -4, while not distinct from the others, completes the polynomial.

To find the derivative of the function, we differentiate each term of the polynomial with respect to x using the power rule:

d/dx(xⁿ) = n * xⁿ⁻¹,

where n is the exponent of x.

Differentiating each term of the function f(x) = 3x⁵ + 2x⁴ - 5x³ + 7x² + 9x - 4:

f'(x) = d/dx(3x⁵) + d/dx(2x⁴) + d/dx(-5x³) + d/dx(7x²) + d/dx(9x) + d/dx(-4).

Applying the power rule to each term, we get:

f'(x) = 15x⁴ + 8x³ - 15x² + 14x + 9.

The derivative represents the rate of change of the polynomial function at each point. In this case, the derivative is a new polynomial function of degree 4, where the exponents of x decrease by 1 compared to the original polynomial function.

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Answer:

9 × 5

5 × 9

3 × 15

15 × 3

1 × 45

45 × 1

Step-by-step explanation:

45 corn husk dolls can be arranged in equal groups

Number of husk by number of group

9 × 5

5 × 9

3 × 15

15 × 3

1 × 45

45 × 1

Facts family that shows how Jen could arrange her corn husk dolls is shown above

let's first off, convert the mixed fractions to improper fractions.

\(\stackrel{mixed}{8\frac{2}{5}}\implies \cfrac{8\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{42}{5}}~\hfill \stackrel{mixed}{6\frac{7}{10}} \implies \cfrac{6\cdot 10+7}{10} \implies \stackrel{improper}{\cfrac{67}{10}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{42}{5}-\cfrac{67}{10}\implies \cfrac{(2)42~~ - ~~(1)67}{\underset{\textit{using this LCD}}{10}}\implies \cfrac{84-67}{10}\implies \cfrac{17}{10}\implies 1\frac{7}{10}\)

Answer:

Step-by-step explanation:

The experimental probability of the cube landing on three is 1/10.

Answer:

978 in

Step-by-step explanation:

(9x6)+(18x18)+(25x24)=978

Answer:

978

Step-by-step explanation:

Make into 3 smaller rectangles and add the area

Answer:

A) $35.80

B) $28.64

Step-by-step explanation:

I'm not sure tho it might be wrong

Answer:

can you make it so its not green and easier to read please and thank you and once you do that then maybe i can try to help you

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Anything to the power of 0 would equal 1 so if you add them, you would get 2

Answer:

x=32 degrees

Step-by-step explanation:

Since the triangle is equilateral, each angle is = 60 degrees. This means that 2x-4=60

=) 2x=64

=) x=32

Answer:

The hypotenuse is 51.

Step-by-step explanation:

\(a^{2}+b^{2}=c^{2} \\24^{2}+25^{2}=c^{2} \\ 2601=c^{2} \\\sqrt{2601} =\sqrt{c^{2} } \\51=c\)

The director is comparing the proportion of high-scoring students in 2016 and 2012 to determine if there is a significant difference.

To perform the hypothesis test, the director collected random samples of MBA candidates entering the program in both years.

The proportions of students with GMAT scores above 630 are calculated for each year. Statistical techniques, such as a test of proportions (e.g., z-test or chi-square test), can be employed to compare the proportions and assess if the difference is statistically significant.

By analyzing the test statistic and comparing it to the appropriate critical value or p-value, the director can make a conclusion about whether the proportion of high-scoring students differs significantly between 2016 and 2012.

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The statement is true. If a function f is differentiable and f(−5) = f(5), then there exists a number c such that |c| < 5 and f'(c) = 0. This result is based on the Intermediate Value Theorem and the Mean Value Theorem.

In more detail, the Intermediate Value Theorem states that if a function is continuous on a closed interval [a, b] and takes on two distinct values, then it must take on every value in between. Since f(−5) = f(5), the function f must take on every value between f(−5) and f(5) as we move from −5 to 5. Now, the Mean Value Theorem states that if a function f is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists a number c in (a, b) such that f'(c) = (f(b) - f(a))/(b - a). In this case, since f(−5) = f(5), we have f'c) = (f(5) - f(−5))/(5 - (−5)) = 0/10 = 0. Therefore, there exists a number c such that |c| < 5 and f'(c) = 0.

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The magnitude of vector u is 10.

To find the magnitude of a vector, we use the formula:

|u| = √(x² + y²),

where (x, y) are the components of the vector.

For vector u = (9, √19), the magnitude is:

|u| = √(9² + (√19)²)

= √(81 + 19)

= √100

= 10.

Therefore, the magnitude of vector u is 10.

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Answer:

33.04

Step-by-step explanation:

just add lolz :P

Answer:

$33.40

Step-by-step explanation:

  1  1  1

  24.95

+   8.45

__________

    33.40

5+5 is 10 so bring a 1 to the top and put a 0 for the bottom

1+9+4 is 14 so put the 4 down and put the 1 on top.

1+4+8 is 13 so put the 3 down and put the 1 on top.

1+2 is 3 so put the 3 down

then you get 33.40

Answer:

9 + 4i

Step-by-step explanation:

Multiply using the FOIL method, then combine the real and imaginary parts of the expression.

The value of the products is given by the equation A = 13

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be p = ( 3 - 2i )

Let the second number be q = ( 3 + 2i )

And , A = pq

Substituting the values in the equation , we get

A = ( 3 - 2i ) ( 3 + 2i )

On simplifying , we get

A = 3 ( 3 + 2i ) - 2i ( 3 + 2i )

A = 9 + 6i - 6i - 4i²

On further simplification , we get

A = 9 - 4i²

where the value of i² = -1

So , A = 9 - 4 ( -1 )

A = 9 + 4

A = 13

Therefore , the value of A is 13

Hence , the product of equation is A = 13

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The inverse of the function f(x) = √(x+1) is \(f^-1\)(x) = x² - 1.

Given a function f(x), its inverse function, denoted as \(f^-1\)(x), is a function that takes the output of f(x) and returns the original input. In other words, if y = f(x), then x = \(f^-1\)(y).

To find the inverse of the function f(x), we follow these steps:

Step 1: Replace f(x) with y:

   y = √(x+1)

Step 2: Interchange x and y:

   x = √(y+1)

Step 3: Solve for y:

   x² = y+1

   y = x² - 1

Step 4: Replace y with f^-1(x):

   f^-1(x) = x² - 1

Therefore, the inverse of the function f(x) = √(x+1) is \(f^-1\)(x) = x² - 1.

To verify this, we can check that (\(f^-1\) o f)(x) = x and (f o \(f^-1\))(x) = x for all x in the domain of the functions:

(\(f^-1\) o f)(x) = \(f^-1\)(f(x)) = (√(x+1))² - 1 = x

(f o \(f^-1\))(x) = f(\(f^-1\)(x)) = √((x² - 1) + 1) = √(x²) = |x| + 1

Since the range of f(x) is [0, infinity), we restrict the domain of \(f^-1\)(x) to [1, infinity) to ensure that the inverse is a function.

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Answer:

y=10x-2

Step-by-step explanation:

-2 is the y-intercpt

Answer:

y=4/3x-2

Step-by-step explanation: