PLEASE HELP QUICK!!! (T•T)

Answer:

Your answer will be 11.04

Step-by-step explanation:

1.38 × 8= 11.04

Answer:

1.48502 × 10²

Step-by-step explanation:

A number expressed in standard form is

a × \(10^{n}\) ( 1 ≤ a < 10 and n is an integer )

Given

148.502 ← express as a number between 1 and 10

1.48502

To obtain the original number we require to multiply by 100 , that is 10²

Thus

148.502 = 1.48502 × 10²

Answer:

\(1.48502 \times {10}^{2} \)

Step-by-step explanation:

To convert to standard form, move the decimal point until there is one digit to the left of the decimal point.

Since the decimal point moves to the left, the exponent value goes up. If the decimal point moves to the right, the exponent value gpes down.

In this case, since the decimal point moves to the left twice, then the exponent goes up by 2.

Hope this helps!

a. The volume of the pyramid is approximately 13,417,320 cubic yards.

To find the volume of the pyramid, we can use the formula:

V = (1/3) * B * h

where V is the volume, B is the area of the base, and h is the height.

First, let's convert the base side length and height from feet to yards:

Base side length = 738 feet = 246 yards

Height = 510 feet = 170 yards

Now we can plug in these values and calculate the volume:

V = (1/3) * (246^2) * 170

V = 13,417,320 cubic yards

Therefore, the volume of the pyramid is approximately 13,417,320 cubic yards.

b. approximately 8,944,880 blocks were needed to construct the pyramid.

To find the number of blocks needed, we can divide the volume of the pyramid by the volume of each block:

Number of blocks = Volume of pyramid / Volume of each block

Number of blocks = 13,417,320 / 1.5

Number of blocks = 8,944,880

Therefore, approximately 8,944,880 blocks were needed to construct the pyramid.

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Answer:

384 inches per sec^2

Step-by-step explanation:

What we need to do here is a conversion.

We shall be converting from ft per sec^2 to inches per sec^2

The key to answering this question is to know that 12 inches = 1 feet

So the only conversion necessary here is to convert 32 inches to feet

Thus, that would be 32 * 12 = 384 inches per sec^2

Answer:

384 inches per second squared

Step-by-step explanation:

Just took the test

Answer:

45:18:36

Step-by-step explanation:

\(99 = 5x +2x+4x\\99=11x\\x=9\\\)

substitute x back into 5x:2x:4x

Therefore, 99 in the ratio of 5:2:4...

45:18:36

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).

Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:

Loss Amount | Probability

$10 million | 0.5%

$1 million | 99.5%

To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.

The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.

The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.

Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:

VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)

VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)

VaR = $50,000 + $995,000

VaR = $1,045,000

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

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Therefore, the maximum displacement of the particle is 4 units, and it occurs at time t = 1.

To find the maximum displacement, we need to first determine the particle's velocity and acceleration.

The velocity of the particle is given by the derivative of its position function:

\(v(t) = y'(t) = 3t^2 - 12t + 9\)

The acceleration of the particle is given by the derivative of its velocity function: a(t) = v'(t) = 6t - 12

Now, to find the maximum displacement, we need to find the time at which the particle comes to rest.

This occurs when its velocity is zero:

\(3t^2 - 12t + 9 = 0\)

Simplifying this equation, we get:

\(t^2 - 4t + 3 = 0\)

This quadratic equation factors as:

(t - 1)(t - 3) = 0

So the particle comes to rest at t = 1 or t = 3.

Next, we need to determine whether the particle is at a maximum or minimum at each of these times.

To do this, we look at the sign of the acceleration:

When t = 1, a(1) = 6(1) - 12 = -6, which is negative.

Therefore, the particle is at a maximum at t = 1.

When t = 3, a(3) = 6(3) - 12 = 6, which is positive.

Therefore, the particle is at a minimum at t = 3.

Finally, we need to find the displacement of the particle at each of these times:

\(y(1) = 1^3 - 6(1)^2 + 9(1) = 4\)

\(y(3) = 3^3 - 6(3)^2 + 9(3) = 0.\)

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The cheese slice you found in your garage is approximately 46.36 days old, based on the given decay rate and the percentage of its original size.

Let's start by denoting the initial size of the cheese slice as S, and the remaining size found as R. Given that the cheese slice is 13.6% of its original size, we can represent this as:

R = 0.136 * S

Now, let's consider the decay rate of the cheese, which is given as 0.0386. Assuming that the cheese decay follows exponential decay, we can write the formula for the decay as:

R = S * (1 - decay_rate) ^ t

Where 't' is the age of the cheese in days. We can now substitute the value of R in the decay formula:

0.136 * S = S * (1 - 0.0386) ^ t

Since we're interested in finding 't', we can simplify the equation by dividing both sides by S:

0.136 = (1 - 0.0386) ^ t

Now, to solve for 't', we can take the natural logarithm of both sides:

ln(0.136) = ln((1 - 0.0386) ^ t)

Using the logarithmic property, we get:

ln(0.136) = t * ln(1 - 0.0386)

Finally, divide both sides by ln(1 - 0.0386) to find 't':

t = ln(0.136) / ln(1 - 0.0386)

Using a calculator, we find that t ≈ 46.36 days.

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The length in inches of the triangle will be (A) 6, 8, 10.

As a result, in item a:

As a result, it is a right triangle.

Item b:

It's not a perfect triangle.

Item c:

It's not a perfect triangle.

Item d:

Therefore, the length in inches of the triangle will be (A) 6, 8, 10.

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The correct question is given below:
Rosemary is cutting 3 wooden sticks to build part of a kite frame. The part she is building must be a right triangle. Which choice below could be the lengths, in inches, of the sticks rosemary cut?

A. 6, 8, 10.

B. 2, 5, 10.

C. 5, 6, 7.

D. 2, 3, 5.

Answer:

x ≈ 10.6

Step-by-step explanation:

Given

\(\frac{13}{11}\) = \(\frac{x}{9}\) ( cross- multiply )

11x = 117 ( divide both sides by 11 )

x ≈ 10.6 ( to the nearest tenth )

Step-by-step explanation:

An + c = d

an=d-c

a=(d-c)/n is your answer

Answer:

Area of the sector in red = 177.87 cm²

Area of the sector in blue = 437. cm²

Step-by-step explanation:

Area of the sector = \(\frac{\theta}{360}(\pi )(r)^2\)

Area of the sector shaded in blue = \(\frac{256}{360}(\pi )(14)^2\)

                                                        = 437.87 cm²

Central angle formed by sector shaded in red = 360 - 256 = 104°

Area of the sector shaded in red = \(\frac{104}{360}(\pi )(14)^2\)

                                                      = 177.884

                                                      ≈ 177.88 cm²

Therefore, area of the sector shaded in red = 177.87 cm² and area of the sector in blue = 437.88 cm²

Answer:

11

Step-by-step explanation:

when a = -2

5 - 3a

= 5 - 3(-2)

= 11

Option B is Correct. An specific place in space is called a point. A dot indicates a point.

A point in space is a location. No length, width, or thickness exist in a point. In geometry, a dot stands in for a point. We typically use a (capital) letter to name a point. The simplest basic geometric object is a point. It is named with a capital letter and symbolised by a dot.

A point has no size and solely represents position (that is, zero length, zero width, and zero height). In a line, a line segment has two distinct endpoints. The line segment's length, which is the separation of two fixed points, is constant.

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Correct Question:

An exact location in space is called a _______

A. Line

B. Point

C. Circle

D. Line segment

Answer:

(i) False

(ii) Selecting a 5 or a spade are not independent.

Step-by-step explanation:

(i)

Independent events are those events that occur at the same time, i.e. the occurrence of one event does not effects the occurrence of the other.

If A and B are independent events then: \(P(A\cap B)=P(A)\times P(B)\)

Whereas as if two events are mutually exclusive, then the probability of them both taking place at the same time is 0.

Then for events A and B: \(P(A\cap B)=0\)

Thus, the statement is False.

(ii)

In a standard deck of 52 cards there are:

Spades = 13

Diamond = 13

Heart = 13

Clubs = 13

And each of these 13 cards are:

K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2, A

If a card labelled as 5 is selected then it could also be a Spade.

And if a spade is selected then the card could be labelled as 5.

So, selecting a 5 or a spade are not independent.

For the given angles, we will find the quadrant that angle lies in it.

Before we begin, the limits of each quadrant is as follows:

Quadrant I: 0 < θ < π/2

Quadrant II: π/2 < θ < π

Quadrant III: π < θ < 3π/2

Quadrant IV: 3π/2 < θ < 2π

Now, we will check the angles:

The first angle: 3π/4

The angle lies between π/2 and π

So, it is in Q II

===================================

The second angle: 57π/8

We will subtract the multiple of 2π to get the standard angle

The angle 9π/8 lies between π and 3π/2

So, the angle lies in Q III

===================================

The third angle 13π/6

The angle π/6 lies between 0 and π/2

So, the angle lies in Q I

=====================================

The fourth angle (-35π/4)

We will add (2π) or a multiple of (2π) to find the positive standard angle

the angle 5π/4 lies between π and 3π/2

So, the angle lies in Q III

=========================================

The fifth angle (-5π/6)

The angle 7π/6 lies between π and 3π/2

So, the angle lies in Q III

==========================================

The last angle (-5π/11)

The angle 17π/11 lies between 3π/2 and 2π

So, the angle lies in Q IV

===================================================

So, the answer will be as shown in the following picture:

The probability of a student spending time reading given that the student spends time watching TV is  \(P(Reading|Watching\:\:TV)=0.12\)

If any two occurrences in sample space S, A and B, are specified, then the conditional probability of event A given B is:

\(P(A|B)=\frac{P(A\:and\:B)}{P(B)}\)

Probability theory is an important branch of mathematics that is used to model and analyze uncertain events in various fields, including science, engineering, finance, and social sciences. The concept of probability is based on the idea of random experiments, where the outcomes are uncertain and can vary each time the experiment is performed.

The probability of an event can be determined by analyzing the possible outcomes of the experiment and assigning a probability to each outcome based on the assumptions of the model. The theory of probability has several applications in real life, such as predicting the outcomes of games of chance, evaluating risks in insurance and finance, and making decisions in scientific research.

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Answer: the answer is 5

Step-by-step explanation:

good luck

The solution to the differential equation D²y(t) + 12 Dy(t) + 36y(t) = 2 \(e^{(-5t)}\), with initial conditions y(0) = 1 and Dy(0) = 0, is \(y(t) = (1 + 6t) e^{(-6t)}\).

To solve the given differential equation using the classical method, we can assume a solution of the form \(y(t) = e^{(rt)}\) and find the values of r that satisfy the equation. We then use these values of r to construct the general solution.

Using the classical method:

Substitute the assumed solution \(y(t) = e^{(rt)}\) into the differential equation:

D²y(t) + 12 Dy(t) + 36y(t) = \(2 e^{(-5t)}\)

This gives the characteristic equation r² + 12r + 36 = 0.

Solve the characteristic equation for r by factoring or using the quadratic formula:

r² + 12r + 36 = (r + 6)(r + 6)

= 0

The repeated root is r = -6.

Since we have a repeated root, the general solution is y(t) = (c₁ + c₂t) \(e^{(-6t)}\)

Taking the first derivative, we get Dy(t) = c₂ \(e^{(-6t)}\)- 6(c₁ + c₂t) e^(-6t).\(e^{(-6t)}\)

Using the initial conditions y(0) = 1 and Dy(0) = 0, we can solve for c₁ and c₂:

y(0) = c₁ = 1

Dy(0) = c₂ - 6c₁ = 0

c₂ - 6(1) = 0

c₂ = 6

The particular solution is y(t) = (1 + 6t) e^(-6t).

Using the Laplace transform method:

Take the Laplace transform of both sides of the differential equation:

L{D²y(t)} + 12L{Dy(t)} + 36L{y(t)} = 2L{e^(-5t)}

s²Y(s) - sy(0) - Dy(0) + 12sY(s) - y(0) + 36Y(s) = 2/(s + 5)

Substitute the initial conditions y(0) = 1 and Dy(0) = 0:

s²Y(s) - s - 0 + 12sY(s) - 1 + 36Y(s) = 2/(s + 5)

Rearrange the equation and solve for Y(s):

(s² + 12s + 36)Y(s) = s + 1 + 2/(s + 5)

Y(s) = (s + 1 + 2/(s + 5))/(s² + 12s + 36)

Perform partial fraction decomposition on Y(s) and find the inverse Laplace transform to obtain y(t):

\(y(t) = L^{(-1)}{Y(s)}\)

Simplifying further, the solution is:

\(y(t) = (1 + 6t) e^{(-6t)\)

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B 4,2 because it is 6 units away from the point

If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.

When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.

This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.

The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.

In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.

It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.

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Answer:

It has no solution within Real numbers. Its solutions are Complex/imaginary, since its discriminant is negative (-64).

Step-by-step explanation:

The normalized form of the equation

(x+2)^2= - 16

x^2 + 4x + 4 = - 16

x^2 + 4x + 20 = 0

We have in the form ax^2 + abx + c = 0

a = 1

b = 4

c = 20

Discriminant is b^2 - 4ac = 4^2 - 4*1*20 = 16 - 80 = - 64

Discriminant is negative, therefore, no Real solutions.

Answer:

1/4

Step-by-step explanation:

when multiply fraction you multiply the fration across so in this case

1/2x1/2 = 1/4

Answer:

Explanation:

Use this rule: a/b*c/d=ac/bd

\( \frac{1 \times 1}{2 \times 2} \)

Simplify 1*1 to 1

\( \frac{1}{2 \times 2} \)

Simplify 2*2 to 4

\( \frac{1}{4} \)

Hope this helps...

Good luck on your assignment..

Answer:

-12 and -4

Step-by-step explanation:

-12 + (-4)  = -16

-12 x -4 = 48

Answer:

-4, -12

Step-by-step explanation:

-4 + (-12) = -16

-4 x -12 = 48

Answer:

y=-3x+3

Step-by-step explanation:

sorry if its wrong im not the best at math.

We are given that a tour company charges $35 per person. If the number of persons is "x", then the product of the price per person by the number of people is the cost to pay for the number of people. To this cost we must add the cost of the tour guide, therefore, a function that models the total cost is:

For every person, the company charges $35. Therefore, the cost for x people can be written as 35x.

The company charges another $245 for the tour guide to the additional cost.

We have the final function :
C(x) = 35x + 245.

The probability equation will be : (at least one puppy) = 1 - P(no puppies selected)

To find the probability that at least one of the pets selected is a puppy, we can subtract the probability of selecting no puppies from 1.

The total number of pets in the store is 6 + 9 + 4 + 5 = 24. The number of ways to select 5 pets out of 24 is C(24, 5).

The number of ways to select no puppies is C(18, 5) because we need to choose all 5 pets from the remaining 18 non-puppy pets.

Therefore, P(no puppies selected) = C(18, 5) / C(24, 5).

Finally, we can calculate P(at least one puppy) = 1 - P(no puppies selected).

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Answer:

B

Step-by-step explanation:

Answer:

B. -1/2

Step-by-step explanation:

See picture