Write an equation that expresses the following relationship.
p varies directly with the square of d and inversely with u
In your equation, use k as the constant of proportionality.

Answer:

Point of tangency is \(x=1\) or \((1,1)\)

Step-by-step explanation:

You don't really need to use Calculus here. You can just set each equation to each other and solve for x (the point of tangency):

\(x^2=2x-1\)

\(x^2-2x+1=0\)

\((x-1)(x-1)=0\)

\(x=1\)

Therefore, the point of tangency is \(x=1\) or \((1,1)\)

The volume of the given cylinder is 400π cubic millimeter.

Given that, a cylinder has a radius of 5 mm and a height of 8 mm.

We know that, the volume of a cylinder is πr²h.

Here, volume = π×5²×8

= π×25×8

= 400π

Therefore, the volume of the given cylinder is 400π cubic millimeter.

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The total bill of the dinner to celebrate birthday including sales tax and tip to the nearest cent is $202.01

Cost of the meal = $168.34

Sales tax = 5% of $168.34

= 0.05 × 168.34

= $8.417

Tip = 15% of $168.34

= 0.15 × 168.34

= $25.251

Total bill = Cost of the meal + Sales tax + Tip

= $168.34 + $8.417 + $25.251

= $202.008

Hence, the total bill is $202.01 to the nearest cent.

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Answer:

d is your answer hope it helps

Answer:

D is the answer

Step-by-step explanation:

Trust

Answer:

dude... I have fallen in love with your profile picture

The amount that the Jones family would pay in the 18th month would be $1,233.45

Prior to determining the required payment for the 18th month, it is paramount to calculate the collective minimum payments by the Jones family during the course of seventeen months.

First, find the amount that had been paid in total by the Jones in 17 months to be :

= Monthly payment x minimum monthly payment

= 17 x 25

= $ 425

The balance after 17 months is :

= $ 1 , 658. 45 - $ 425

= $ 1, 233. 45

The remaining balance of $ 1, 233. 45 would have to be paid in the 18th month.

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Answer:

probabilty is the chance for you to get something

Answer:

This is the likelihood of getting 3 heads

There are two steps of solving the equation -3(2x+6)=12.

The steps are given below.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given equation:

-3(2x+6)=12

The first step:

Solving the parenthesis first,

-6x -18 = 12

Adding 18 to both sides,

-6x = 30

Divide by -6,

x = -5

The alternate step:

-3(2x+6)=12

Divide by -3,

2x + 6 = -4

2x = -10

x = -5

Therefore, x = -5 is the solution of the equation.

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The cost of filling the gas tank is  $7.07.

The cost of filling the gas tank will depend on the volume of the gas in the tank and the cost per volume of gas.

The volume of the gas in the tank is calculated as follows;

V = L x B x H

where;

V = 24 in x 18 in x 2 in

V = 864 in³

The volume of the gas in gallons is calculated as;

V = (1 gal / 231 in³ ) x ( 864 in³ )

V = 3.74 gallon

Cost = 3.74 x $1.89 = $7.07

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The complete question is below:

A tank measures 24 inches length and breadth of 18 inches. The height of the gas in the tank is 2 inches. Find the cost to fill this gas tank if 1 gallon of gas costs $1.89.

(1 gallon = 231 square inches)

Answer:

S(t) = a.sin (b.t) + d

a = -1.5, b = (2π/365), d = 3.47

S(t) = -1.5 sin (2πt/365) + 3.47

Step-by-step explanation:

Complete Question is presented in the attached image to this solution.

- Dingane has been observing a certain stock for the last few years and he sees that it can be modeled as a function S(t) of time t (in days) using a sinusoidal expression of the form

S(t) = a.sin(b.t) + d.

On day t = 0, the stock is at its average value of $3.47 per share, but 91.25 days later, its value is down to its minimum of $1.97.

Find S(t). t should be in radians.

S(t) =

Solution

S(t) = a.sin(b.t) + d.

At t = 0, S(t) = $3.47

S(0) = a.sin(b×0) + d = a.sin 0 + d = 3.47

Sin 0 = 0,

S(t=0) = d = 3.47.

At t = 91.25 days, S(t) = $1.97

But, it is given that T has to be in radians, for t to be in radians, the constant b has to convert t in days to radians.

Hence, b = (2π/365)

S(91.25) = 1.97 = a.sin(b×91.25) + d

d = 3.47 from the first expression

S(t = 91.25) = a.sin (91.25b) + 3.47 = 1.97

1.97 = a.sin (2π×91.25/365) + 3.47

1.97 = a sin (0.5π) + 3.47

Sin 0.5π = 1

1.97 = a + 3.47

a = -1.5

Hence,

S(t) = a.sin (b.t) + d

a = -1.5, b = (2π/365), d = 3.47

S(t) = -1.5 sin (2πt/365) + 3.47

Hope this Helps!!!

To find e(n n0), you multiply e(n) by p.

To find var(n n0), you calculate var(n) and add n times the difference between var(n0) and p^2.

To find e(n n0) and var(n n0), we need to use the binomial distribution formula.

Let's break it down step by step.

1. The probability of getting heads (h) on any single flip is given as p.
2. The number of tosses (n) on which h turned up is recorded.
3. The coin is then flipped n times and the number of times h showed up, n0, is recorded again.

Now, let's find e(n n0) (the expected value):

1. The expected value of n0 is given by e(n0) = n * p, as the probability of getting heads on any single flip is p.

2. The expected value of n is given by e(n) = n * p, as the probability of getting heads on any single flip is p.

3. Now, we can find e(n n0) by using the formula: e(n n0) = e(n) * p

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Answer:

150

Step-by-step explanation:

Betty can type 100*6=600

Bob types 75*6=450

Betty-Bob (600-450)=150

Answer:

It is a right angled triangle.

Step-by-step explanation:

Because it has 90° angle in it.

Hope it helps..!!<3

The given statement is True. The statement "a 95% confidence interval for the mean was computed with a sample of size 90 to be (16, 22), then the error is ±3" is true.

In statistics, a confidence interval is a range of values that is used to estimate a population parameter such as a mean or proportion. It is a statement about a population parameter that is likely to contain the true value of the parameter.An interval estimate has an associated level of confidence that is given by the confidence level of the interval. This level of confidence is the probability that the interval will include the true population parameter if the procedure is performed several times.

Error in a confidence interval: The margin of error or confidence interval error is a measurement of how much the sample estimate varies from the true population parameter. It is a range of values above and below the sample estimate that encompasses the population parameter with a specified level of confidence. The formula for calculating the error or margin of error is given as: Error or margin of error = critical value × standard error of the statistic.

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Answer: A = bh

Step-by-step explanation

Area of a parallelogram is base multiplied by the height .

The probability that Alice has two Aces is 5.88%.

To answer your question about the probability that Alice has two aces, we will consider the two scenarios you provided.

1. If you know that Alice has an Ace:

- There are 52 cards in a standard deck, and 4 Aces.
- Since Alice has an Ace, she has one of the 4 Aces and 51 cards remain in the deck.
- There are now 3 Aces left in the deck, and Alice needs one more Ace to have two Aces.
- The probability that Alice has two Aces is the number of remaining Aces divided by the number of remaining cards, which is 3/51.

2. If you know that Alice has the Ace of Spades:

- Since Alice has the Ace of Spades, there are now 51 cards left in the deck.
- There are still 3 Aces remaining (hearts, diamonds, and clubs).
- The probability that Alice has two Aces is the number of remaining Aces divided by the number of remaining cards, which is 3/51.

In both scenarios, the probability that Alice has two Aces is 3/51, or approximately 0.0588 or 5.88%.

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Answer:

B

Step-by-step explanation:

(The picture on the bottom left)

Answer:

Brand A Forks $0.08, Brand B Forks $0.06, Better Buy is Brand B

Step-by-step explanation:

Unit price is price per unit (in this case, forks)

You need to find the $ for 1 fork for Brand A and B, since they have different unit prices.

total price/units = price/unit

Brand A: $1.97/25 forks = $0.0788 (rounded up is $0.08)

Brand B: $2.98/48 forks = $0.06208 (rounded up is $0.06)

Better brand is Brand B because it is cheaper.

Answer:

4v - 9

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

multiply inside to the parentheses and add all commmon numbers getting you to, 5v -18 = 2 then add 18 5v=20 divided to v=4

Step-by-step explanation:

y = ax^n + bx^(n-1) ... + z

(0, 1) tells us that the constant term z = 1.

because x = 0 eliminates all other terms. and as the sum is 1, that means z = 1.

for the other pairs I strongly suspect

(-1, 3) : 2×(-1)² + 1 = 2×1 + 1 = 3

(-2, 9) : 2×(-2)² + 1 = 2×4 + 1 = 9

so, the fitting equation is

y = 2x² + 1

Becca made a total of 24 rolls and 12 biscuits.

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.

Becca made 2 trays of rolls and biscuits, with 12 rolls and 6 biscuits in each tray. To find the total number of rolls and biscuits, we need to multiply the number of rolls and biscuits per tray by the number of trays, and then add them together:

Total rolls = 2 trays × 12 rolls per tray = 24 rolls

Total biscuits = 2 trays × 6 biscuits per tray = 12 biscuits

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Answer:

y = -2 x + 4

Step-by-step explanation:

Pass (0,4): y intercept  b = 4

slope: m = (8-4) / (-2-0) = - 2

y = mx + b

y = -2 x + 4

A translation of the sentence "The difference of twice a number and 5 is at least - 25." is 2n - 5 ≥ -25.

In order to translate a word problem into an algebraic expression, we would have to assign a variable to the unknown number:

Let the variable x represent the unknown number.

By translating the word problem into an algebraic expression, we have the following;

The difference of twice a number and 5: 2n - 5

At least means greater than or equal to (≥); 2n - 5 ≥ -25

Next, we would collect like-terms and rearrange the expression as follows;

2n - 5 ≥ -25

2n ≥ -25 + 5

2n ≥ -20

n ≥ -10

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The height of the apartment building across the street can be determined by using trigonometric ratios. Given the angle of elevation and the angle of depression, we can calculate the height of the apartment across the street.

Let's denote the height of the apartment building across the street as 'h'. From the given information, we have two right-angled triangles. In one triangle, the window height is the opposite side, and the height of the apartment across the street is the adjacent side with respect to the angle of elevation. In the other triangle, the window height is the opposite side, and the height of the apartment across the street minus 32 meters is the adjacent side with respect to the angle of depression.

Using the trigonometric ratios, we can write the following equations:

1. tan(36°) = h / 32   (using the angle of elevation)

2. tan(47°) = (h - 32) / 32   (using the angle of depression)

From equation (1), we can solve for 'h' as h = 32 * tan(36°). Substituting this value into https://brainly.com/question/29156330 (2), we get tan(47°) = (32 * tan(36°) - 32) / 32. Solving for 'h' will give us the height of the apartment building across the street.

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