Help with this question

Answer:

13

Step-by-step explanation:

30 plus 9 is 39

6 minus 3 is 3

39 divided by 3 is 13

Answer:

the answer is D 33

Step-by-step explanation:

Answer:

True

Right angles measure 90° . So each vertical angle = 90° and hence they are equal

Step-by-step explanation:

Answer:

g(y) = 1/3y + 5/3

Step-by-step Explanation:

We know that f(x) is synonymous with y so we can rewrite f(x) as y = 3x -5

To find the inverse of the function, we can switch y with x and x with y:

x = 3y - 5

Now we can isolate y to find the inverse of f(x):

(x = 3y - 5) + 5

(x + 5 = 3y) / 3

x/3 + 5/3 = y

1/3x + 5/3 = y

Thus, the inverse of f(x) is f^-1(x) = 1/3x + 5/3.  Since we want to write the inverse in terms of y, we get g(y) = 1/3y + 5/3.

If this answer doesn't match your answer choices (some of the answer choices you provided are unclear), please attach a pic and I can help you figure out which answer choice is correct)

The expected value for the number of times you see three consecutive tails in 12 flips of a fair coin is 5/4.

To find E[X] and Var(X), we can use the technique of the coupon collector problem.

In the first roll, there are 6 possible outcomes. In the second roll, there are 5 possible outcomes, since we want a different number from the first roll. In the third roll, there are 4 possible outcomes, since we want a different number from the first two rolls. Therefore, the probability of getting three different numbers in three rolls is (6/6) × (5/6) × (4/6) = 20/54.

In general, the probability of getting three different numbers in k rolls is:

P(X = k) = (6/6) × (5/6) × ... × (7 - k)/6 = k!S(6, k)/(6^k), for k = 3, 4, 5, ...

where S(6, k) is the Stirling number of the second kind.

Using the formula for the expected value of a discrete random variable, we have:

E[X] = Σ(kP(X=k)) = Σ(k!S(6,k)/(6^k)), for k = 3, 4, 5, ...

E[X] = 3(1) + 4(15/36) + 5(25/72) + ...

To find Var(X), we can use the formula Var(X) = E[X^2] - (E[X])^2. We can find E[X^2] using the formula:

E[X^2] = Σ(k^2P(X=k)) = Σ(k^2k!S(6,k)/(6^k)), for k = 3, 4, 5, ...

(b) To find the expected value for the number of times you see three consecutive tails in 12 flips of a fair coin, we can use the formula for the expected value of a binomial distribution.

Let X be the number of times you see three consecutive tails in 12 flips of a fair coin. Then X has a binomial distribution with parameters n = 10 and p = 1/8, since there are 10 positions in which the first of the three consecutive tails can appear and the probability of each of these positions being tails is 1/8.

The expected value of a binomial distribution is E[X] = np, so we have:

E[X] = (10)(1/8) = 5/4.

Therefore, the expected value for the number of times you see three consecutive tails in 12 flips of a fair coin is 5/4.

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Answer:

15 feet off the ground

Step-by-step explanation:

Hope this helps!

Answer:18

Step-by-step explanation:

1.5 times 12 =18

The direction angles of the vector u = (-1, 9, -6) are approximately -6.1°, 64.8°, and -75.2° for the x, y, and z axes, respectively.

The direction angles of a vector are the angles that the vector makes with the positive x, y, and z axes. To find the direction angles of the vector u = (-1, 9, -6), we can use the formulas:

cosθx = u_x/||u||, cosθy = u_y/||u||, and cosθz = u_z/||u||

where θx, θy, and θz are the angles that u makes with the x, y, and z axes, respectively, and ||u|| is the magnitude of u, given by:

||u|| = √(u_x² + u_y² + u_z²)

Substituting the values of u, we have:

||u|| = √((-1)² + 9² + (-6)²) = √118

cosθx = -1/√118 ≈ -0.183, cosθy = 9/√118 ≈ 0.551, and cosθz = -6/√118 ≈ -0.366

Taking the inverse cosine of each of these values, we get:

θx ≈ -6.1°, θy ≈ 64.8°, and θz ≈ -75.2°

Therefore, the direction angles of the vector u are approximately -6.1°, 64.8°, and -75.2° for the x, y, and z axes, respectively.

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We are given the following function

We are asked to find the negative interval of this function.

A negative interval means that where the y values of the function are negative.

Let us have a look at the graph of this function.

As you can see,

For x = 0, the interval is positive.

For x = 1 and x = -1 the y value is 0 (we don't consider 0 as either positive or negative that's why 0 is not included in the negative or positive interval)

The y values of the function are negative for

x > 1 and x < -1

Therefore, the negative interval of the function y = x² + 1 is

Answer:

\(m=\frac{-4}{5}\)

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug in 2 coordinates into the slope formula to find slope m:

(-3, 1)

(2, -3)

\(m=\frac{-3-1}{2-(-3)}\)

\(m=\frac{-4}{2+3}\)

\(m=\frac{-4}{5}\)

The argument fails to consider the non-continuity of the function at x = 0

The argument presented is incorrect due to a misunderstanding of the Intermediate Value Theorem.

The Intermediate Value Theorem states that if a continuous function takes on two different values, such as f(a) and f(b), at the endpoints of an interval [a, b], then it must also take on every value between f(a) and f(b) within that interval.

The theorem does not apply to functions that are not continuous.

In this case, the function f(x) = |x|/x is not continuous at x = 0 because it has a vertical asymptote at x = 0. The function is undefined at x = 0 since the division by zero is not defined.

The function does not satisfy the conditions necessary for the Intermediate Value Theorem to be applicable.

There exists a value c in the interval (-2, 2) such that f(c) = 0 solely based on the fact that f(-2) = -1 and f(2) = 1. The argument fails to consider the non-continuity of the function at x = 0.

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To solve equation (a) \(\( 0.13 y+0.09(y+2000)=840 \)\), we need to multiply both sides of the equation by a certain factor. The solution to equation (a) is y=3000.

In equation (a), we have\(\( 0.13 y+0.09(y+2000)=840 \)\). To isolate the variable y and solve for its value, we need to simplify the equation.

First, we distribute 0.09 to the terms inside the parentheses: \(\( 0.13 y+0.09y+0.09(2000)=840 \)\). This simplifies to \(\( 0.13 y+0.09 y+180=840 \)\).

Next, we combine like terms: \(\( 0.22 y+180=840 \)\).

To eliminate the constant term 180, we subtract it from both sides: \(\( 0.22 y+180-180=840-180 \)\), which becomes \(\( 0.22 y=660 \)\).

Now, to isolate the variable y, we need to divide both sides of the equation by 0.22: \(\( \frac{0.22 y}{0.22}=\frac{660}{0.22} \)\).

By dividing, we find \(\( y=3000 \)\).

Therefore, the solution to equation (a) is y=3000.

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Answer:

25cm

Step-by-step explanation:

first find the perimeter of the dmaller triangle. perimeter=add all sides

3+5+7=15cm

15cm=⅜

? = ⅝ (cross multiply)

15cm×⅝×8/3=25cm

perimeter of the larger triangle is 25cm

Answer:

4w.

Step-by-step explanation:

Answer:

m = -7

initial value = 27

Step-by-step explanation:

The rate of change is also known as the slope of a line.

To find this do y1-y2/x1-x2 or y2-y1/x2-x1. You can't do rise/run in this case because there is no graph. I will help you with both answers for the first question only, because I think it is better for you to also practice.

The initial value is also when x = 0, therefore the initial value is 27.

The slop is:

27-(-8)/0-5

35/-5

-7

The rate of change, or slope, for the first question is -7.

Answer:

dtjshjghj,fghaf, jkldh

Step-by-step explanation:

dhgljshgja fgjksdfhgjklfshbsjl

The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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Answer:

see below

Step-by-step explanation:

The sum of the interior angles of any polygon can be found with the formula 180(n - 2) where n = number of sides. In this case, n = 6 so the answer is 180(6 - 2) = 180 * 4 = 720°.

Answer:

The sum of the interior angles of a regular hexagon is 720°

Step-by-step explanation:

As we know that the sum of interior angle is 180(n-2). So the number of sides of hexagon is 6. Now, 180(6-2)=180*4=720°

i. weekly receipts at a clothing boutique

ii. monthly demand for an automotive part

Time series data refers to information collected and recorded at regular intervals over a specific period. In the case of i. weekly receipts at a clothing boutique and ii. monthly demand for an automotive part, both data sets are examples of time series data.

Time series data consists of observations recorded over regular intervals, allowing for the analysis of patterns and trends over time. In i. weekly receipts at a clothing boutique, the data is collected on a weekly basis, providing insights into the boutique's revenue fluctuations over different weeks. Similarly, ii. monthly demand for an automotive part captures the demand for the part on a monthly basis, enabling analysis of monthly variations and seasonal patterns.

On the other hand, iii. quarterly sales of automobiles do not fall under time series data. While it represents sales data, the intervals between measurements are not consistent enough to qualify as time series. Quarterly intervals are less frequent and may not capture shorter-term trends or variations as effectively as weekly or monthly intervals.

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Answer:

i guess 36 ft in cubic feet

Step-by-step explanation:

= 8 x 9/2

= 4 x 9

= 36

Answer:

1,29

Step-by-step explanation:

74*2pi/360

ezzzzzz

Matty has 16 presents left

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

Matty οriginally had 12 birthday presents. Her mοm said she cοuld have 9 mοre, sο she wοuld have a tοtal οf 12 + 9 = 21 presents.

Matty then gave her friend's phοne number ### ### #### and they asked fοr 5 presents. Sο, she gave away 5 presents frοm the 21 she had, leaving her with 21 - 5 = 16 presents.

Therefore, Matty has 16 presents left.

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A line in ℝ² that does not pass through the origin is not closed under vector addition because vector addition can produce vectors that do not lie on the original line.

To illustrate why a line in ℝ² that does not pass through the origin is not closed under vector addition, we can consider the following example:

Let's take a line in ℝ² given by the equation y = x + 1, which does not pass through the origin (0, 0).

Now, suppose we have two vectors on this line: A = (1, 2) and B = (2, 3).

If we add these two vectors, A + B, we get (1, 2) + (2, 3) = (3, 5).

Now, let's examine the resulting vector (3, 5). Since the line y = x + 1 does not pass through the origin, (0, 0) is not on this line. However, (3, 5) lies on the line y = x + 1.

Therefore, the resulting vector (3, 5) is not on the original line y = x + 1.

This demonstrates that the line is not closed under vector addition because the addition of vectors from the line can result in a vector that is not on the line.

In conclusion, a line in ℝ² that does not pass through the origin is not closed under vector addition because vector addition can produce vectors that do not lie on the original line.

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Answer:

16 m

Step-by-step explanation:

V = \(s^{3}\)

4096 = \(s^{3}\)

cube root of 4096 = 16

The total number of engineering students is 176 approximately among the 750 students enrolled in the college by using the proportionate formula.

It is mentioned here that a college has 19 students of engineering for every 81 students who got enrolled.

Therefore the ratio of engineering students to total number of students is as follows:

No. of engineering students = 19

Total number of students = 81

Ratio = \(\frac{19}{81}\)

Now if the total number of students that the college has is 750 then the number of engineering students can be found by using the proportionate formula as the ratio of the engineering to the total students will remain same.

Total number of students = 750

Let the number of engineering students be y

Ratio = \(\frac{y}{750}\)

Comparing it with the above ratio and using the proportionate formula,

\(\frac{19}{81} = \frac{y}{750}\)

⇒ y = \(\frac{19*750}{81}\)

⇒ y = 175.925

So approximately 176 were the engineering students among 750 students enrolled.

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The equilibrium interest rate is 10%, and the money supply should be set at $25 to increase the interest rate by 10 percentage points

The equilibrium interest rate and the corresponding money supply can be calculated based on the given money demand and money supply functions.

1. Equilibrium Interest Rate:

To find the equilibrium interest rate, we need to set the money demand equal to the money supply and solve for i.

Md = Ms

$Y(0.30 - i) = $50

Substituting the given value of $Y = $250, we have:

$250(0.30 - i) = $50

Simplifying the equation, we get:

75 - 250i = 50

-250i = 50 - 75

-250i = -25

i = -25 / -250

i = 0.1

The equilibrium interest rate is 0.1, or 10% (as a percentage).

2. Money Supply to Increase Interest Rate by 10 Percentage Points:

If the Federal Reserve wants to increase the interest rate by 10 percentage points above the equilibrium rate, we need to calculate the corresponding money supply.

New Interest Rate = Equilibrium Interest Rate + Increase in Interest Rate

New Interest Rate = 0.1 + 0.1 = 0.2

To find the new money supply, we set the new interest rate in the money demand equation and solve for Ms.

Md = Ms

$Y(0.30 - i) = Ms

$250(0.30 - 0.2) = Ms

$250(0.10) = Ms

Ms = $25

Therefore, the money supply should be set at $25 to achieve an interest rate increase of 10 percentage points above the equilibrium interest rate.

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Answer:

x(x + 1)(x + 2) = 3,333(x + x + 1 + x + 2)

x(x² + 3x + 2) = 3,333(3x + 3)

x³ + 3x² + 2x = 9,999x + 9,999

x³ + 3x² - 9,997x - 9,999 = 0

x = 99, so x + 1 = 100 and x + 2 = 101

99 × 100 × 101 = 999,900

The sum of the digits in this product is 36.

The average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8. option C

Average number of viewers over the two weeks = (First week + Second week) / 2

= {(3.6 x 10⁴) + (4.1 x 10⁴)} / 2

= {3.6 + 4.1 × 10^(4×4) } / 2

= (7.7 × 10^16) / 2

= 3.85 × 10^8

Therefore, the average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8.

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The perimeter of the polygon is  22 units.

What is the area of the polygon?

The area of a polygon is defined as the area enclosed by the polygon's boundary. In other words, the region occupied by any polygon determines its area. In this lesson, we will learn how to calculate polygon area and the difference between polygon perimeter and area in detail.

we know that

the perimeter of a polygon is the sum of the length sides

in this problem, we have five vertices

so the polygon has five sides

Let,

A(-1, 3)

B(−1, 6)

C(2, 10)

D(5, 6)

E(5, 3).

the perimeter is equal to

P = AB + BC + CD + DE + AE

The formula to calculate the distance between two points is equal to

d = √(y₂ - y₁)² + (x₂ - x₁)²

The distance of AB:

A(-1, 3)

B(−1, 6)

d = √(6 - 3)² + (-1 - (-1))²

d = √(3)² + (0)²

d = 3

The distance of BC:

B(−1, 6)

C(2, 10)

d = √(10 - 6)² + (2 - (-1))²

d = √(4)² + (3)²

d = 5

The distance of CD:

C(2, 10)

D(5, 6)

d = √(6 - 10)² + (5 - 2)²

d = 5

The distance of DE:

D(5, 6)

E(5, 3).

d = √(3 - 6)² + (5 - 5)²

d = 3

The distance of AE:

A(-1, 3)

E(5, 3)

d = √(3 - 3)² + (5 - (-1))²

d = 6

Find the perimeter

the perimeter is equal to

P = AB + BC + CD + DE + AE

P = 3+5+5+3+6

P = 22 units.

Hence, the perimeter of the polygon is  22 units.

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From the portion of a four-year amortization schedule the principal has been paid off after twenty-five payments, is $9543.97.

Loan amount is the amount or sum of money, which is borrowed by one at some rate of interest for a period of time.

Here, the principal has to be calculated after twenty-five payments. At 25 months, the balance of the loan is 10,356 dollars and 3 cents. It can be written as $10356.03.

As, the loan amount or principal is 19,900 dollars. This balance is the total amount of the loan. If we substrate the remaining loan amount from the total amount of loan, the result will be the paid loan amount.

Suppose the paid loan amount is P. Therefore,

\(P=19900-10356.03\\P=9543.97\)

Thus, from the portion of a four-year amortization schedule the principal has been paid off after twenty-five payments, is $9543.97.

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\(\(10\cos(4x)\)\) can be rewritten  \(\(5 + 5\cos(4x)\)\) using the power-reducing formula.

The power-reducing formula for cosine can be used to rewrite \(\(10\cos(4x)\)\) without powers greater than 1. The formula states:

\(\[\cos^2(x) = \frac{1}{2}(1 + \cos(2x))\]\)

To apply this formula \(\(10\cos(4x)\)\), we can rewrite it as:

\(\[10\cos(4x) = 10\cos^2(2x)\]\)

Using the power-reducing formula, we have:

\(\[10\cos^2(2x) = 10\left(\frac{1}{2}\left(1 + \cos(4x)\right)\right)\]\)

Simplifying further:

\(\[10\left(\frac{1}{2}\left(1 + \cos(4x)\right)\right) =\) \(\(5 + 5\cos(4x)\)\)

Therefore, \(\(10\cos(4x)\)\) can be rewritten as \(\(5 + 5\cos(4x)\)\), which doesn't contain powers greater than 1.

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In the study conducted by John Darley and Bibb Latané, the number of people present in the room with the participant served as an independent variable, as it was manipulated by the researchers to observe its effects on helping behavior.

Specifically, the researchers examined how the presence of other people in the room would affect whether or not the participant would choose to help in a given situation. By changing the number of people present in the room, the researchers were able to measure the effects of diffusion of responsibility on helping behavior.

Diffusion of responsibility is a phenomenon in which individuals are less likely to help a victim when they are in the presence of other people, as they assume that someone else will take responsibility. Therefore, the number of people present in the room was an important variable in the study, as it allowed the researchers to measure how the presence of others affected helping behavior.

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