If an object moves along the y-axis marked in feet) so that its position at time x (in seconds) is given by f(x) = 150x - 10x , find the following. (A) The instantaneous velocity function v = f'(x) (B) The velocity when x = 0 and x = 3 sec (C) The time(s) when v=0

Answer:

the modem transfers data not the usb stick

Answer:

ans below

Step-by-step explanation:

your gonna be 13

Answer:

13

Step-by-step explanation:

please mark this answer as brainlest

Answer:

x=3, x=-1

Step-by-step explanation:

Finding zeros of a function means plugging in 0 for f(x).

You'll get 0=x^2-2x-3.

Then solve by plugging in equation into quadratic formula: -b±√b^2-4ac/2a

Simplify and you'll get x=3, x=-1.

Hope this helped.

1. To determine the number of tubs John must sell per show to break even, we need to consider the fixed costs and the contribution margin per tub. The contribution margin is the difference between the selling price and the variable cost per tub.

In this case, the variable cost is the wholesale cost of $30 per tub. The contribution margin per tub is $80 - $30 = $50.  To calculate the break-even point, we divide the fixed costs by the contribution margin per tub:

Break-even point = Fixed costs / Contribution margin per tub

Break-even point = $900 / $50 = 18 tubs

Therefore, John must sell at least 18 tubs per show to break even.

2a. To earn a profit of $1,100 per show, we need to determine the sales volume in units necessary. The desired profit is considered an additional fixed cost in this case. We add the desired profit to the fixed costs and divide by the contribution margin per tub:

Sales volume for desired profit = (Fixed costs + Desired profit) / Contribution margin per tub

Sales volume for desired profit = ($900 + $1,100) / $50 = 40 tubs

Therefore, John needs to sell 40 tubs per show to earn a profit of $1,100.

2b. To determine the sales volume in dollars necessary to earn the desired profit, we multiply the sales volume in units (40 tubs) by the selling price per tub ($80):

Sales volume in dollars for desired profit = Sales volume for desired profit * Selling price per tub

Sales volume in dollars for desired profit = 40 tubs * $80 = $3,200

Therefore, John needs to achieve sales of $3,200 to earn a profit of $1,100 per show.

c. Income Statement (condensed version):

Sales Revene: 40 tubs * $80 = $3,200

Variable Costs: 40 tubs * $30 = $1,200

Contribution Margin: Sales Revenue - Variable Costs = $3,200 - $1,200 = $2,000

Fixed Costs: $900

Operating Income: Contribution Margin - Fixed Costs = $2,000 - $900 = $1,100

The condensed income statement confirms the answers from parts a and b, showing that the desired profit of $1,100 is achieved by selling 40 tubs and generating sales of $3,200.

3. The margin of safety represents the difference between the actual sales volume and the breakeven sales volume.

Margin of safety in sales dollars = Actual Sales - Breakeven Sales = $3,200 - ($50 * 18) = $2,300

Margin of safety in units = Actual Sales Volume - Breakeven Sales Volume = 40 tubs - 18 tubs = 22 tubs

Margin of safety as a percentage = (Margin of Safety in Sales Dollars / Actual Sales) * 100

Margin of safety as a percentage = ($2,300 / $3,200) * 100 ≈ 71.88%

Therefore, the margin of safety is $2,300 in sales dollars, 22 tubs in units, and approximately 71.88% as a percentage.

Learn more about income statement here: brainly.com/question/32948100

#SPJ11

Metric System is a decimal system of measurement that is based on the meter, kilogram, and second and is used in most countries around the world. It is also known as the International System of Units (SI).

The Metric System is the most common measuring system used in the world today. It is a decimal system based on the meter, kilogram, and second and is officially known as the International System of Units (SI). This system was initially developed in France in the late 18th century and is now used in most countries around the world. The Metric System is based on powers of 10 and each unit is related to the next unit by a factor of 10. For example, a kilometer is equal to 1000 meters, a milliliter is equal to 0.001 liters, and a centimeter is equal to 0.01 meters. The Metric System is used to measure length, area, mass, weight, temperature, and volume. It is used in many different industries and applications including science, engineering, medicine, and agriculture. The Metric System has become the international standard for scientific measurements and is accepted by most countries as the preferred system of measurement. The Metric System is also easier for students to learn and use than other systems of measurement.

Learn more about  Metric System here

https://brainly.com/question/25966695

#SPJ4

To construct an 80% confidence interval for the mean time needed to complete the step, the interval is calculated as 57.05 seconds < μ < 59.75 seconds. In order to obtain a 99.5% confidence interval with a margin of error of 1.5, a sample size of at least [sample size] is needed. Rounded up to the nearest integer.

To construct an 80% confidence interval for the mean time needed to complete the step, we use the sample mean time and the population standard deviation. With a sample size of 90 clamps, the mean time to complete the step was found to be 58.4 seconds. Using the appropriate formula, the confidence interval is calculated as 57.05 seconds < μ < 59.75 seconds, rounded to at least one decimal place.

In the second part of the question, we need to determine the sample size required to achieve a 99.5% confidence interval with a margin of error of 1.5 seconds. The margin of error represents the maximum likely difference between the sample mean and the true population mean. By rearranging the formula for the margin of error and solving for the sample size, we can find the minimum sample size needed. The answer should be rounded up to the nearest integer, as the sample size must be a whole number.

To find the required sample size, we use the formula for the margin of error: Margin of error = (critical value) * (standard deviation / sqrt(sample size)). By rearranging the formula and solving for the sample size, we obtain the expression (critical value) = (standard deviation / (margin of error / sqrt(sample size))). By substituting the given values, including the desired confidence level of 99.5% and the margin of error of 1.5 seconds, we can calculate the required sample size. The result should be rounded up to the nearest integer to ensure a sufficient sample size for the desired confidence level and margin of error.

Learn more about Interval

brainly.com/question/11051767

#SPJ11

Answer:

Hello! answer: 1/6

Step-by-step explanation:

The probability of landing on D is 1/6 because there are 6 spots on the spinner you can land on A, B, C, D, E, and F and there is only 1 section labelled "D" therefore the probability of landing on D is 1/6 hope that helps!

answer: 59+16=75

75 total in line

Answer:

y = 8·√3

Step-by-step explanation:

From the drawing of the right triangle, we have;

The length of the opposite leg to the given 60° (reference) angle = 12

The length of the adjacent leg to given 60° (reference) angle = x

The length of the hypotenuse side = y

By trigonometric ratios, we have;

\(sin(Reference \, Angle) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}\)

Therefore, we have;

\(sin(60^\circ) = \dfrac{12}{y}\)

From the value of sin(60°), we have;

\(sin(60^\circ) = \dfrac{\sqrt{3} }{2}\)

\(\therefore y= \dfrac{12}{sin(60^\circ) } = \dfrac{12}{\dfrac{\sqrt{3} }{2} } = \dfrac{2 \times 12 \times \sqrt{3} }{{{3} } } = \dfrac{24 \times \sqrt{3} }{{{3} } } = 8 \cdot \sqrt{3}\)

y = 8·√3

\(\left(x= \dfrac{12}{tan(60^\circ) } = \dfrac{12}{{\sqrt{3} } } = 4\cdot \sqrt{3} \right)\)

9514 1404 393

Answer:

  D

Step-by-step explanation:

The leading term is of odd degree and negative coefficient. The odd degree tells you the end behaviors will have opposite signs. The negative coefficient tells you the left end behavior will be positive, and the right end behavior will be negative.

  \(\textbf{D. }\lim\limits_{x\to -\infty}f(x)=\infty\quad\lim\limits_{x\to \infty}f(x)=-\infty\)

The interquartile range(IQR) is the difference between the third quartile(Q₃) and the first quartile (Q₁)

That is:

IQR = Q₃ - Q₁

From the information given:

Q₁ = 84

Answer: 1 L = 0.001 m³

Step-by-step explanation:

1m³ =1000 L

0.001 m³ = 1 L

Answer:

angle 6

hope that helps

Answer:

7/8

Step-by-step explanation:

look it up

your wel3

Answer: \(\frac{7}{8}\) or 0.875 in decimal form.

Step-by-step explanation:

Okay, so to solve this, the easiest method is to find a common denominator. While we could try using trial and error or if you know your tables really well, I don't so we will just multiply the denominators which is 8 and 4. We then multiply 8 and 4 which is 32.

To convert the fractions we have, we multiply both the numerator and denominator of each, by the multiple that multiplies the denominator to 32.

\(\frac{2}{4}\) multiply both 4 and 2 by 8. Now we have \(\frac{16}{32}\).

Same thing with the second number. We have \(\frac{3}{8}\). We multiply both the numerator and the denominator by 4. 3*4 is 12, 8*4 is 32.

Now we have \(\frac{12}{32}\).

Now that both fractions have common denominators, we can add the numerators. \(\frac{16}{32} +\frac{12}{32} = \frac{28}{32}\)

Now we have the answer, \(\frac{28}{32}\), but is that it?

No. Now to find the final two answers, we simply \(\frac{28}{32}\).

To simplify, we find the Greatest Common Factor of 28 and 32, which in this case happens to be 4. This is the highest number that either of those can be divided by to provide a normal whole number

After solving \(\frac{28/4}{32/4} =\frac{7}{8}\)

That is our final answer. \(\frac{7}{8}\).

If necessary, you can convert it to decimal form through simple division and end up with 0.875.

The domain of a function is the set of all the values that are mapped to another one through that function.

So, in the graph, you can see that only the numbers greater than or equal to -3 are mapped to another number.

Hence, the answer is D: All real numbers greates than or equal to -3.

Answer:

x = 5

Step-by-step explanation:

9x - 28 = 5x - 8 (because Y and X are equal, and XZ and YZ are equal)

add 8 to both sides

9x - 20 = 5x

subtract 9x from both sides

-20 = -4x

divide 4x from both sides

5 = x

x = 5

If the probability that interest rates will go up and house sales will decrease is estimated to be 0.15, the probability of an increase in interest rates and not a decrease in house sales is 0.05.

To find the probability of an increase in interest rates and not a decrease in house sales, we can use the formula for conditional probability:

P(Interest rates increase and house sales don't decrease) = P(Interest rates increase) - P(Interest rates increase and house sales decrease)

We are given that the probability of interest rates on housing loans going up in the next 6 months is 0.20, and the probability of house sales decreasing is 0.6. We are also given that the probability of interest rates going up and house sales decreasing is 0.15.

To find the probability of interest rates going up and not house sales decreasing, we subtract the probability of interest rates going up and house sales decreasing from the probability of interest rates going up:

P(Interest rates increase and house sales don't decrease) = 0.20 - 0.15 = 0.05

In summary, we can use conditional probability to calculate the probability of an increase in interest rates and not a decrease in house sales.

Given the probabilities of interest rates going up and house sales decreasing, we can subtract the probability of interest rates going up and house sales decreasing from the probability of interest rates going up to find the probability of interest rates going up and not house sales decreasing.

To learn more about probability click on,

https://brainly.com/question/15413624

#SPJ4

Answer:

Prism B has a larger base area

Step-by-step explanation:

Given

Base dimensions:

Prism A:

Lengths: 6cm, 8cm and 10cm

Prism B:

Lengths: 5cm and 5cm

Required [Missing from the question]

Which prism has a larger base area

For prism A

First, we check if the base dimension form a right-angled triangle using Pythagoras theorem.

The longest side is the hypotenuse; So:

\(10^2 = 8^2 + 6^2\)

\(100 = 64 + 36\)

\(100 = 100\)

The above shows that the base dimension forms a right-angled triangle.

The base area is then calculated by;

Area = 0.5 * Products of two sides (other than the hypotenuse)

\(Area = 0.5 * 8cm * 6cm\)

\(Area = 24cm^2\)

For Prism B

\(Lengths = 5cm\ and\ 5cm\)

So, the area is:

\(Area = 5cm * 5cm\)

\(Area = 25cm^2\)

By comparison, prism B has a larger base area because \(25cm^2 > 24cm^2\)

Answer:

Achievement

Step-by-step explanation:

to be reach out there is a achievement

Answer: 15/143. cannot be simplified

Answer:

15/143

Step-by-step explanation:

5/13 * 3/11

(5*3)/(13*11)

which is equal to 15/143

no factor can go in the two numbers at the same time

therefore it can not be simplified

the final answer is 15/143

The provided C++ expressions represent the algebraic expressions using the appropriate syntax in the programming language, allowing for computation and assignment of values based on the given formulas.

Here are the C++ expressions for the given algebraic expressions:

1. yaygy = 6 * x

```cpp

int yaygy = 6 * x;

```

2. x = 2 * b + 4 * c

```cpp

x = 2 * b + 4 * c;

```

3. x3 = z²

```cpp

int x3 = pow(z, 2);

```

Note: To use the `pow` function, include the `<cmath>` header.

4. z2x+2 = z²x²

```cpp

double z2xplus2 = pow(z, 2) * pow(x, 2);

```

Note: This assumes that `z` and `x` are of type `double`.

Make sure to declare and initialize the necessary variables (`x`, `b`, `c`, `z`) before using these expressions in your C++ code.

To know more about `pow` function, refer to the link below:

https://brainly.com/question/33051369#

#SPJ11

Complete Question:

Write C++ expressions for the following algebraic expressions

Linear Regression, It ranks among the most used machine learning regression algorithms. The output variables are predicted by a significant variable from the data set (future values)

Regression is a statistical technique used in the fields of finance, investing, and other disciplines that aims to establish the nature and strength of the relationship between a single dependent variable (often represented by Y) and a number of independent variables (known as independent variables).

The most popular variation of this method is linear regression, which is also known as simple regression or ordinary least squares (OLS). Based on a line of best fit, linear regression determines the linear relationship between two variables.

The slope of a straight line used to represent linear regression thus indicates how changing one variable affects changing another.

In a linear regression connection, the value of one variable when the value of the other is zero is represented by the y-intercept. Regression without linearity.

Hence, Linear Regression, It ranks among the most used machine learning regression algorithms. The output variables are predicted by a significant variable from the data set (future values).

learn more about regression click here:

https://brainly.com/question/28178214

#SPJ4

Answer:

It will be 4 30

Step-by-step explanation:

Mark me as a brainliest.

We can use the formula for an arithmetic sequence to find the number of seats in the 30th row. Let a1 be the number of seats in the first row, d be the common difference between consecutive rows, and an be the number of seats in the nth row.

Then, we have:

a1 = 15 (given)

d = 5 (since each row has 5 more seats than the row in front of it)

an = a1 + (n-1)d

Substituting the given values, we have:

a30 = 15 + (30-1)5

a30 = 15 + 145

a30 = 160

Therefore, the 30th row contains 160 seats.

In an arithmetic sequence, each term is obtained by adding a fixed number (the common difference) to the previous term. In this problem, the number of seats in each row forms an arithmetic sequence, with a common difference of 5.

To find the number of seats in any given row, we can use the formula an = a1 + (n-1)d, where a1 is the number of seats in the first row, d is the common difference, and an is the number of seats in the nth row. In this case, we are given the number of seats in the first row (15) and asked to find the number of seats in the 30th row, so we plug in these values and solve for a30. The answer is 160 seats in the 30th row.

To learn more about Arthimatic sequence click here:

brainly.com/question/30160476

#SPJ11

Answer:

What is a 4 digit number divisible by 3? The first 4-digit number divisible by 3 is 1002. This is sometimes also referred to as the smallest four digit number divisible by 3 or the lowest 4-digit number divisible by 3.

Step-by-step explanation:

Answer:

1002

Step-by-step explanation:

The highest 3-digit number is 999, and it is also the highest 3-digit number divisible by 3.

To find the highest 4-digit number divisible by 3, add 3 to 999.

We have proved below that d( k+1) is only true when d(k) is true , also d(1) should also be true using Mathematical Induction.

Mathematical Induction : For each and every natural number n, mathematical induction is a method of demonstrating a statement, theorem, or formula that is presumed to be true.

It is given that the statement is true for n = k

Explanation:

According to the principle of Mathematical Induction,

Let d(n) be a statement involving Natural Number n such that

d(1) is true

d(m) is true

d(m+1) is true

So ,  the statement d(n) is true for all the n natural numbers.

According to the second principle of Mathematical Induction

Let d(n) be a statement involving Natural number n such that

d(1) is true

d(m) is true when d(n) is true for all n where 1 ≤ n ≤m .

Then the statement d(n) is true for all the values of n ( natural number)

Therefore , we have proved below that d( k+1) is only true when d(k) is true , also d(1) should also be true using Mathematical Induction.

To know more about Mathematical Induction visit: brainly.com/question/1333684

#SPJ9

Answer:

x + 600 ≥ 2400

Step-by-step explanation:

Given:

Amount needed = $2,400

Amount they had = $600

Find:

Amount they need

Computation:

Assume;

Amount they need = x

x + 600 ≥ 2400