Evaluate the limit: r(t+h) - r(t) lim for r(t) = (t 3, sint, 3) h h>0 h r'(t) =( >

Answer: He bought three adult tickets and two child tickets

Step-by-step explanation:

The answer is 28$

2+2= 4

8+8= 16

16 + 4= 20

20 + 8 =28

He bought two child tickets and three adult tickets

Answer:

m=48

Step-by-step explanation:

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▹ Answer

m = 48

▹ Step-by-Step Explanation

Rewrite:

m/8 = 6

Use the inverse operation:

8 * 6 = 48

m = 48

Hope this helps!

CloutAnswers ❁

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The solution of expression for v is v = 9(z - w)/5.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

⇒ 5/9 v = z - w

Multiply by 9 both sides,

⇒ 5v = 9z - 9w

Divided by 5

⇒ v = 9(z - w)/5

Thus, the solution of expression for v is v = 9(z - w)/5.

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Answer:

Yes, you are correct

Step-by-step explanation:

Answer: Yes it is.

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

divide both sides by 2 leaving you with y=12.5.

Answer:

Step-by-step explanation.

The expected value of a gamble can be calculated by multiplying the probability of winning by the amount you could win and subtracting the probability of losing multiplied by the amount you could lose.

In this case, we are given that if a red card is drawn from a standard 52-card deck, you win $1200, and if a black card is drawn, you lose $1200.

First, let's determine the probability of drawing a red card from a standard 52-card deck. In a standard deck, there are 26 red cards (13 hearts and 13 diamonds) and 26 black cards (13 spades and 13 clubs). So the probability of drawing a red card is 26/52, which simplifies to 1/2 or 0.5.

Next, let's calculate the probability of losing, which is the probability of drawing a black card. Similarly, the probability of drawing a black card is also 26/52 or 1/2.

Now, we can calculate the expected value using the formula:
Expected value = (probability of winning * amount won) - (probability of losing * amount lost)

Expected value = (0.5 * $1200) - (0.5 * $1200)
Expected value = $600 - $600
Expected value = $0

Therefore, the expected value of the gamble is $0. This means that, on average, you neither win nor lose money in the long run by playing this gamble.

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Answer:

378 cm

Step-by-step explanation:

It would take 5040 cubic inches of water to completely fill the aquarium.

We know that the formula for the volume of cuboid :

V = length × width × height

Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.

Here, l = 20 inches

w = 14 inches

and h = 18 inches

Using the formula for the volume of cuboid, the volume of aquarium would be,

V = l × w × h

V = 20 × 14 × 18

V = 5040 cu.in.

Therefore, it would take 5040 cu.in. of water.

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Answer:

1/4 or 3/12 chance :)

Step-by-step explanation:

Answer:

4x- 2

Step-by-step explanation:

if you're asked perimeter simply add the length of sides of the finger

p= (x+ 3)+ (2x- 5) + (x)

p= 4x- 2

The stretch of an exponential decay function is y = 2(1/5)ˣ

From the question, we have the following parameters that can be used in our computation:

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

The (⍺3β3) oligomer of ATP synthase can have 3 different functional conformations.

The (⍺3β3) oligomer of ATP synthase, which consists of three α-subunits and three β-subunits, can exhibit three different functional conformations. These conformations are known as "open," "loose," and "tight" states. The binding change mechanism describes the sequential transition of the catalytic sites within ATP synthase as they alternate between these conformations, facilitating the synthesis of ATP.

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Answer:   3.25+5.50S≤30 and 16 pancakes

Step-by-step explanation: did it on khan.

The formula expressing the radius of the circle, r (in cm), in terms of the number of seconds, t, since the circle started shrinking is r = r₀ - kt, where r₀ is the initial radius and k is the rate at which the circle is shrinking.

The formula r = r₀ - kt represents the relationship between the radius of the circle and the time elapsed since it started shrinking. Here's an explanation of the variables:

r represents the radius of the circle at any given time t.r₀ represents the initial radius of the circle when it started shrinking .k represents the rate at which the circle is shrinking, indicating how much the radius decreases per unit of time.t represents the number of seconds that have elapsed since the circle started shrinking.

By subtracting kt from the initial radius r₀, we can determine the current radius of the circle at any given time t. The term kt represents the amount by which the radius decreases over time, based on the rate of shrinkage defined by the value of k.

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The simplest way to perform a division is long division and synthetic division.

What is division?

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

There are two methods to perform division:

Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.

Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.

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The expected value of the time between replacements of machines are  1/μ + 1/λ + 0.

Expected time between replacements of machines is given by the sum of expected time of machine working till failure and expected time of replacement of machine.

Working time is given by exponential distribution with rate μ which means its expected value will be 1/μ. Repair crew checks the machine at times distributed according to Poisson process with rate λ, so expected time between two repair checks will be 1/λ.

When a machine is found to have failed, it is immediately replaced, so expected time of replacement will be 0.

Expected time between replacements of machines will be equal to (expected time of working machine till failure + expected time between two repair checks + expected time of replacement of machine) = 1/μ + 1/λ + 0.

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Answer:

The answer is B

Step-by-step explanation:

2n<-6

divide both sides by 2

2n/2<-6/2

n<-3

-3n+2<-4

C.L.T.

-3n<-4-2

-3n<-6

divide both sides by-3

-3n/-3<-6/-3

n<2

Answer: P(rolling a sum of 4 or rolling a sum of 5)

Step-by-step explanation: edge2023

The scenario that uses the addition rule for mutually exclusive events is:

p(rolling a sum of 4 or rolling a sum of 5) = p(rolling a sum of 4) + p(rolling a sum of 5)

This is because the events "rolling a sum of 4" and "rolling a sum of 5" are mutually exclusive, meaning that they cannot occur at the same time. Therefore, the probability of either event occurring is the sum of their individual probabilities.

The probability of rolling a sum of 4 is 3/36, and the probability of rolling a sum of 5 is 4/36. The addition rule states that the probability of rolling a sum of 4 or 5 is the sum of their individual probabilities: 3/36 + 4/36 = 7/36

The other scenarios do not use the addition rule for mutually exclusive events:

p(rolling a sum of 4) is a single event and does not involve a second event.

p(rolling a sum of 12 or rolling a double 6) although the two events are mutually exclusive, it's not the sum of their individual probabilities.

p(rolling a sum of 11 and rolling a sum of 12) these events are not mutually exclusive, they can happen at the same time, so it's not the sum of their individual probabilities.

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Answer:

-18

Step-by-step explanation:

g(x) = 9x

Find -1g(2)

First find g(2)

g(2) = 9(2) = 18

-1g(2) = -1*18 = -18

Answer:

c. 5 units

Step-by-step explanation:

because if ABC and cda are congruent then that means they are the same and since AD and BC are across each other they thay would be the same.

Answer:

L = \(5 \frac{1}{6} cm = \frac{31}{6} \) cm

B = \(2 \frac{2}{7}cm = \frac{16}{7} \)cm

Area = \( \frac{31}{6} cm \times \frac{16}{7}cm = \frac{496}{42}cm^{2} \)

\(11 \frac{34}{42}cm^{2} \)

\( = 11\frac{17}{21}cm^{2} \)

Answer:

1/64

Step-by-step explanation:

(1/8)² = 1/64

If average size of bass caught in strawberry lake is normally distributed, then the probability that the size of fish we caught is more than 15 inches is 0.3085.

The mean-size of the bass caught is (μ) = 13 inches,

The standard-deviation of the bass caught is (σ) = 4 inches,

we have to find probability that size of fish we caught is more than 15 inches.

We will use the z-score formula:

⇒ z = (x - μ)/σ,

So,

⇒ z = (15 - 13)/4 = 0.5,

Now, we need to find the probability of getting a z-score of 0.5 or higher. We use a standard normal distribution table to find this probability.

⇒ P(Z > 0.5) = 0.3085

Therefore, the required probability is 0.3085 or 30.85%.

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Answer:

B

Step-by-step explanation:

Answer: The horizontal distance from the hot air balloon to the building is approximately 2533.39 meters.

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram to visualize the situation!!

=== begin diagram ===

                B (balloon)

               /|

              / |

             /  | 520m

            /   |

           /θ   |

          /     |

         /______|___ C (ground)

        A       D

=== end diagram ===

In the diagram, we have a hot air balloon at point B that is 520m from the ground at point C. We also have a building at point D that is 450m tall. The angle of elevation from point D to point B is 10 degrees (angle θ).

We want to find the horizontal distance between point B and point D (distance AB in the diagram).

To do this, we can use the tangent function:

tan(θ) = opposite/adjacent

In this case, the opposite side is the height of the building (450m) and the adjacent side is the horizontal distance we want to find (AB). We can rearrange the formula to solve for AB:

AB = opposite/tan(θ)

AB = 450m / tan(10°)

AB ≈ 2533.39m

Therefore, the horizontal distance from the hot air balloon to the building is approximately 2533.39 meters.

We are given a coordinate grid with two lines. The first line is labeled y = 0.5x + 3.5 and passes through (-3,1), (-2.7,2.1), and (0,3.5). The second line is labeled y = (-2/3)x + (1/3) and passes through (-4,3), (-2.7,2.1), and (1/3,0).The approximate solution to the system of equations is the point of intersection between the two lines intersect at the point (-1,2)

We are to find the approximate solution to the system y. We can do this by graphing the two lines on the same coordinate grid and finding the point of intersection.

Graph of the two lines can be shown as below:

[Graph illustration showing the two lines intersecting]

We can see that the two lines intersect at the point (-1,2). Therefore, the approximate solution to the system y is (-1,2).

Therefore, the required is (-1,2).

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Answer: (2.7, 2.1)

Step-by-step explanation: took the test