What is the surface area of the cylinder?




226.08 cm²

678.24 cm²

1,356.48 cm²

452.16 cm²

Answer:

120

Step-by-step explanation:

5!, called 5 factorial is the product of all positive intergers from 5 down though 1. by definition, 0! is 0.

Factorials are basically the number times itself-1 the 2 the 3 until it times it by itself-(itself-1). n!=n*(n-1)*n(n-2).....*n-(n-1).

For example 2!=2*1=2 and 6!=6*5*4*3*2*1=720

keep in mind that I am not an expert so the blanks I filled in might be wrong and the explanation might have errors

5!, called "5 factorial," is the product of all positive integers from 5 down through 1. By definition, 0! is equal to 1.

Factorial is a mathematical operation denoted by an exclamation mark (!). It represents the product of all positive integers from a given number down to 1. In the case of 5!, it is calculated as 5 × 4 × 3 × 2 × 1, resulting in the value of 120.

The exclamation mark notation allows us to represent the factorial of a number concisely. For example, 5! represents the factorial of 5. It is important to note that 0! is defined to be equal to 1. This is a special case in factorial calculations. While it may seem counterintuitive, it is defined this way to maintain consistency and enable certain mathematical calculations and formulas.

Therefore, 5! is the product of all positive integers from 5 down through 1, equaling 120, and 0! is defined to be 1.

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The correct expression is, (9 - 2/x)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

''9 minus the quotient of 2 and x.''

Now, The mathematical expression is written as;

⇒ 9 - 2/x

Thus, The correct expression is, (9 - 2/x)

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Answer:

no table posted

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

3.2/0.4=8

8×2=16

16×0.4=6.4

6.4÷0.1=64

Answer: 1.4 or just 1

Step-by-step explanation:

But we are going to a decimal point then go to 1.4, cause the 9 makes the 3 round-up. :)

Answer: 1.4

Step-by-step explanation:

I believe you're asking what 1.39 rounded to the nearest tenths place is, in that case it is 1.4

d = rt

d/r  rt/r

d/r = t

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Step-by-step explanation:

please try to snap or write out the question

The beetle population, growing linearly, has an explicit formula P(n) = 3 + 10n, and it will take 18 weeks for the population to reach 183.

(a) To find an explicit formula for the beetle population after n weeks, we can use the information given in the problem. Since the growth model is linear, we can assume that the population increases by a constant amount each week.

Let's denote the population after n weeks as P(n). We know that P(0) = 3 (initial population) and P(10) = 103 (population after 10 weeks).

Since the population increases by a constant amount each week, we can find the growth rate (or increase per week) by taking the difference in population between week 10 and week 0, and dividing it by the number of weeks:

Growth rate = (P(10) - P(0)) / 10 = (103 - 3) / 10 = 100 / 10 = 10

Therefore, the explicit formula for the beetle population after n weeks can be written as:

P(n) = P(0) + (growth rate) * n

P(n) = 3 + 10n

(b) To find how many weeks it will take for the beetle population to reach 183, we can set up an equation using the explicit formula and solve for n:

P(n) = 183

3 + 10n = 183

Subtracting 3 from both sides:

10n = 180

Dividing both sides by 10:

n = 18

Therefore, it will take 18 weeks for the beetle population to reach 183.

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We can say that a-c ≡ b-d (mod m) when a ≡ b (mod m) and c ≡ d (mod m), and all the given conditions on the integers are met. The modulo or "modulus" or "mod" is the remainder after dividing one number by another.

To show that if a ≡ b (mod m) and c ≡ d (mod m), where a, b, c, d, and m are integers with m ≥ 2, then a-c ≡ b-d (mod m), we will follow these steps:

1. We know that a ≡ b (mod m) and c ≡ d (mod m), which means that m divides (a - b) and m divides (c - d).

2. Since m divides both (a - b) and (c - d), we can write these congruences as equations: a - b = km and c - d = lm, where k and l are integers.

3. Now we want to find an expression for (a - c) and (b - d), so we subtract the second equation from the first: (a - b) - (c - d) = km - lm.

4. Simplify the left side: (a - c) - (b - d) = km - lm.

5. Factor out m on the right side: (a - c) - (b - d) = m(k - l).

6. Since (k - l) is also an integer, we can see that m divides (a - c) - (b - d).

Therefore, we can conclude that a-c ≡ b-d (modulo m) when a ≡ b (modulo m) and c ≡ d (modulo m), and all the given conditions on the integers are met.

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10.59 is the value of the given side b.

In our case, we know that side A has a length of 15 units and is opposite angle A, which measures 27 degrees.

Using the sine rule, we can write:

b/sin(27°) = 15/sin(40°)

To find the value of b, we can rearrange the equation:

b = (15 * sin(27°)) / sin(40°)

evaluate the trigonometric functions and calculate b:

b ≈ 10.59

Therefore, using the sine rule of the triangle, we find that the value of side b is approximately 10.59 units.

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Answer:

20/27

Step-by-step explanation:

Answer:

2,4,6,8 = 23

1,3,5,7 = 157

Step-by-step explanation:

8 = 23

m<8 + m<7 = 180

180 - 23 = 157

m<1,3,&5 = m<7 m<2,4,&6 = m<8

transitive property I think I forgot the name of it lol

Answer:

6 is 6.82% of 88

Answer:

Step-by-step explanation:

To solve this problem, we need to use the formula for the present value of a lump sum payment: $PV = FV \cdot (1 + r)^{-t}$, where $PV$ is the present value (the lump sum payment that needs to be made), $FV$ is the future value (the amount borrowed), $r$ is the annual interest rate, and $t$ is the number of years the money is borrowed for.In this case, we are given that $FV = 12,000$, $r = 8%$, and $t = 5$ years. Plugging these values into the formula, we get $PV = 12,000 \cdot (1 + 0.08)^{-5} = 12,000 \cdot 0.5987 = 7,184.40$.Therefore, the lump sum payment that needs to be made is $PV = \boxed{7184.40}$. The answer is $\boxed{\text{(a)}\ $16,800.00}$ is incorrect.

Answer:

the answer is 4/6 or 6/9

The expression of the inequality on the graph is;

y ≥ -x+6

y ≥ x - 4

From the graph, we can see that there are 2 lines. Therefore, this is a system of 2 simultaneous inequalities.

The formula for equation of a line in slope intercept form is;

y = mx + c

Let's start with coordinates for the line slanting rightwards.

At x = 0, y = 6

At x = 1, y = 5

Thus;

6 = 0(m) + c

c = 6

Also;

5 = 1(m) + 6

5 - 6 = m

m = -1

Thus, the equation is;

y = -x + 6

We can see the line is a broken line and the shaded portion is above the line. This represents;

y ≥ -x+6

For the second line;

At x = 5, y = 1

At x = 6, y = 2

Thus;

1 = 5m + c

2 = 6m + c

Subtract eq 1 from eq 2 to get;

m = 1

Thus;

1 = 5(1) + c

c = 1 - 5

c = -4

This represents;

y = x - 4

We can see the line is a broken line and the shaded portion is above the line. This represents;

y ≥ x - 4

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b.) No, f is not differentiable at x=4. This is because the left and right limits of the function at x = 4 are not equal, and hence the function has a sharp corner or cusp at that point.

To demonstrate this, determine the left and right derivatives of f(x) at x = 4. The limit of (f(4 - h) - f(4)) / h as h approaches 0 from the left can be used to calculate the left derivative. We receive the following results after plugging in the values from the first portion of the function:

lim h→0- [(-4 - (4 - h)) - (-4)] / h
= lim h→0- [-h / h]
= -1

Similarly, finding the right derivative is as simple as taking the limit of (f(4 + h) - f(4)) / h as h approaches 0 from the right. We receive the following results after plugging in the values from the second portion of the function:

lim h→0+ [(4 + h)^2 - 8(4 + h) + 8 - (4^2 - 8(4) + 8)] / h
= lim h→0+ [(h^2 + 16h) / h]
= 16

Since the left and right derivatives are not equal (i.e., -1 ≠ 16), the function is not differentiable at x = 4.

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Answer:

answer is A

Step-by-step explanation:

you on edg?

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve for a in the inequality (a-2)/3 > a + 4, we can follow these steps:

Multiply both sides by 3 to eliminate the denominator: 3(a-2)/3 > 3(a + 4)

Simplify: a - 2 > 3a + 12

Subtract a from both sides: -2 > 2a + 12

Subtract 12 from both sides: -14 > 2a

Divide both sides by 2: -7 > a

Therefore, the solution to the inequality is a < -7

Answer:

x = √17

Step-by-step explanation:

x² = 4² + 1²

x² = 17

x = √17

x² = y² + z²

x² = 4² + 1²

x² = 16 + 1

x² = 17

x = √17✅

Answer:

the diameter of a basketball hoop is 18 inche

Answer:

18 inches

Step-by-step explanation:

The diameter of an official hoop should be 18 inches,

I also found that the diameter of a regulation basketball is about 9.50 inches.

Regulation hoop height is 10 feet.

Radius of a hoop is 9 inches

Cross-section of hoop = 81π in²

-Chetan K

Answer:

1) x=6, y=-6 which is (6,-6) as an ordered pair

3) x=10, y=-1 which is (10,-1) as an ordered pair

Step-by-step explanation:

Question 1:

Solve them like an addition problem:

-4x-2y=-12

4x+8y=-24

________

(-4x+4x)+(-2y+8y)=(-12+-24)

0x+6y=-36

6y=-36

y=-6

Plug value of y into one of the original equations:

4x+8(-6)=-24

4x-48=-24

4x=24

x=6

Question 3:

Solve them like an addition problem:

x-y=11

2x+y=19

_______

(x+2x)+(-y+y)=11+19

3x+0y=30

3x=30

x=10

Plug value of x into one of the original equations:

10-y=11

-y=1

y=-1

The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

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Answer: m = -1

Step-by-step explanation:

m = slope

The slope is 1/-1 which is just -1.

Hope this helps!

Answer:

72

Step-by-step explanation:

Given:

There were 120 people in total.

60% were parents.

To find:

Number of parents attended.

Solution:

1. 60% of 120

It can also be written as:

\(\frac{60}{100}\times \frac{120}{1}\)

Simplify

\(\frac{60}{100}\\\\=\frac{6}{10}\)

\(\frac{6\div2}{10\div2}=\frac{3}{5}\)

2. \(\bold{\frac{3}{5}\times \frac{120}{1}}\)

Multiply

\(\frac{3\times120}{5\times1} = \frac{360}{5}\)

Divide

\(\frac{360}{5}= 360\div5=72\)

Therefore, 72 parents attended the game.

Answer:

4

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.. good solution, good solution

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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