Multiply. Enter the product in simplest form.
17/8 x 14/51

Answer:11.25

Step-by-step explanation: first subtract 12 from both sides then you would have 3.2x=36

and then divide both sides by 3.2 which is x=11.25

Answer: x=11.25

Step-by-step explanation: 48-12> 36> 3.2x=36> divide 36 by 3.2> x= 11.25

Hope this helped

Answer:

A

Step-by-step explanation:

Answer:

A)494

B)1424

C)37900

D89000

Answer:

5\(\sqrt{3}\)

Step-by-step explanation:

Perimeter = 3 sides add up= 10+10+10

so the bottom of the half triangle is 5

a^2+b^2=c^2

10^2=a^2+5^2

100=a^2+25

a^2 = 75

a = \(\sqrt{75}\)

simplify

a = \(\sqrt{25*3}\)

a = \(5\sqrt{3}\)

Each box needs to have a minimum space of 576 cubic inches to hold the toy.

What is a cuboid?

A cuboid is a three-dimensional solid shape that has six rectangular faces, where each face meets at right angles with adjacent faces.

To calculate the space required for each box to hold a toy that is 8 inches tall by 12 inches wide and 6 inches deep, we need to calculate the volume of the toy.

The volume of the toy can be calculated as:

Volume = height x width x depth

Volume = 8 inches x 12 inches x 6 inches

Volume = 576 cubic inches

Therefore, each box needs to have a minimum space of 576 cubic inches to hold the toy.

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To start, let's sketch the graph of the curve y = x from x = 0 to x = 20. This is simply a diagonal line that passes through the points (0,0) and (20,20), as shown below:

```
   |
20  |    *
   |   *  
   |  *  
   | *    
   |*    
0  --------------
  0   10   20
```

Now, we want to revolve this curve around the x-axis to create a solid shape. Specifically, we want to create a paraboloid, which is a three-dimensional shape that looks like an upside-down bowl.

To find the volume of this paraboloid, we need to use calculus. The basic idea is to slice the solid into very thin disks, and then add up the volumes of all the disks to get the total volume.

To do this, we'll use the formula for the volume of a cylinder, which is:

V = πr^2h

where r is the radius of the cylinder and h is its height. In our case, each disk is a cylinder with radius r and height h, where:

- r is equal to the y-value of the curve (i.e. r = y = x), since the disk extends from the x-axis to the curve.
- h is the thickness of the disk, which is a very small change in x. We can call this dx.

So, the volume of each disk is:

dV = πr^2dx
  = πx^2dx

To find the total volume of the paraboloid, we need to add up the volumes of all the disks. This is done using an integral:

V = ∫(from x=0 to x=20) dV
 = ∫(from x=0 to x=20) πx^2dx

Evaluating this integral gives us:

V = π/3 * 20^3
 = 8000π/3

So the exact volume of the paraboloid is 8000π/3.

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Answer:

Step-by-step explanation:

(x + 4)/2= 3

x + 4 = 6

x = 2

(y - 4)/2= 2

y - 4 = 4

y = 8

(2, 8) the other endpoint

Answer:

since F is midpoint

DF= FE = 2x+6

DF +FE=DE

2x+6 + 2x+6 = 2x+36

4x + 12 = 2x+36

2x = 24

x=12

DE =2x+36 =2*12 + 36 = 60

Step-by-step explanation:

Answer:

Just substitute, and the simplified form is 1

Step-by-step explanation:

Substitute the values needed into the original equation. For example, if n=1

t(1)=15-2.5(1)=15-2.5=12.5. Or, if tn+1 substitute f(tn+1)=15-2.5(tn+1) and simplify.

tn+1-tn in its simplest form is just 1, as tn and -tn cancel out to leave 1.

Answer:

=2985×135/100

=4029.75

Answer:

$4,029.75

Step-by-step explanation:

To start off, we want to know by how much 2985 will be increased by 35%. To do this, you want to find X in "X is 35% of 2985". To solve that, keep in mind this: "Is" will equal "=" and "of" means multiply. So when taking that in mind, that will become "X = 35% x 2985". But there's a problem, you can't multiply like that unless you turn 35% into a decimal, which is 0.35. So again its " X = 0.35 x 2985". That will be 1044.75 So 35% of 2985 is 1044.75, the amount that it goes up by. This means that since this "increases", you need to add this X value (1044.75) to the original worth of 2985. This results in $4,029.75

The value of r'(1) is 125

The chain rule is a formula used to compute the derivative of a composite function. A composite function is a function that is formed by taking the output of one function and using it as the input of another function.

To find the derivative of r(x), we can use the chain rule:

r'(x) = f'(g(h(x))) × g'(h(x)) × h'(x)

Then, to find r'(1), we can evaluate this expression at x = 1:

r'(1) = f'(g(h(1))) × g'(h(1)) × h'(1)

We are given that h(1) = 3, g(3) = 5, h'(1) = 5, g'(3) = 5, and f '(5) = 5. Therefore, we can substitute these values into the expression for r'(1):

r'(1) = f'(g(h(1))) × g'(h(1)) × h'(1)

= f'(g(3)) × g'(3) × 5 (since h(1) = 3 and h'(1) = 5)

= f'(5) × 5 × 5 (since g(3) = 5 and g'(3) = 5)

= 5 × 5 × 5 (since f'(5) = 5)

= 125

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Answer:

<

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

The value of \(\pi\) is 3.1415 so in this statement, 3.2 is bigger than pi, so the statement will require a < .

\(\pi\) < 3.2

Hope this helps!

Answer:

6

Step-by-step explanation:

Let the number of seats in one row be \(x\), then the number of rows will be \(5x\).

So the total number of seats will be \(x*5x=5x^2\), and that's equal to 180.

We have

\(5x^2=180\\x^2=36\)

And since \(x\) has to be a positive number because it represents the number of seats, we know that \(x=6\).

So the number of seats in one row is 6.

The original amount is 6200, which is obtained by dividing 837 by 0.135.

To find the original amount, we can use the formula for finding the percentage of a number

percentage = (part / whole) x 100%

where "part" is the given number (837 in this case), "percentage" is the given percentage (13.5%), and "whole" is the original amount we are trying to find.

Let's plug in the given values and solve for "whole"

13.5% = (837 / whole) x 100%

Divide both sides by 100% to get

0.135 = 837 / whole

Multiply both sides by "whole" to get

0.135 x whole = 837

Divide both sides by 0.135 to get

whole = 837 / 0.135

Simplifying, we get

whole = 6200

Therefore, the original amount is 6200.

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After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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The probability of a type I error in the case of the new blood test is 0.022.

Given;

It is not always possible to identify rare diseases by screening. A blood test that has been created by researchers is thought to be reasonably dependable. In 97% of those who suffer from a sickness, it produces a favorable response. However, 5% of those tested who do not have the condition received an incorrectly positive response. Take into account the null hypothesis that "the person does not have the disease."

A: The individual does not have the disease

B: The individual does have the disease

We know that,

Type I Error is rejecting the true null hypothesis

P (Type I Error) = P(Positive reaction to an individual who does not have the disease)

                         =0.022

Hence, the probability of a type I error is 0.022.

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To write an expression that selects all words with at least five letters from a list, you can use a list comprehension in Python and that are word, list, filtered, for, kite.

List comprehensions provide a concise way to create new lists by filtering or modifying elements from an existing list.
Here's an example using the words you provided:
```python
words_list = ['being', 'for', 'the', 'benefit', 'of', 'mister', 'and', 'kite']
filtered_words = [word for word in words_list if len(word) >= 5]
```

In this example, the list comprehension iterates through each word in `words_list` and checks if its length (`len(word)`) is greater than or equal to 5. If the condition is met, the word is added to the new `filtered_words` list. The result will be `['being', 'benefit', 'mister']`, which are the words with at least five letters in the original list.

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The first quartile is always equal to one of the values in the sample when the sample size is a multiple of 4.

This is because the first quartile is the median of the lower half of the data set, and when the sample size is a multiple of 4, there is anThe first quartile is always equal to one of the  valuesin the sample when the sample size is a multiple of 4. This is because the first quartile is the median of the lower half of the data set, and when the sample size is a multiple of 4, there is an even number of values in the lower half of the data set. Therefore, the first quartile will be one of the values in the sample. For example, if the sample size is 8, the first quartile will be the median of the first 4 values, which will be one of the values in the sample.

In summary, the first quartile is always equal to one of the values in the sample when the sample size is a multiple of 4. of values in the lower half of the data set. Therefore, the first quartile will be one of the values in the sample. For example, if the sample size is 8, the first quartile will be the median of the first 4 values, which will be one of the values in the sample.
In summary, the first quartile is always equal to one of the values in the sample when the sample size is a multiple of 4.

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The correct option is \(\(b.\)  \(f(x) = -\frac{{(x - 4)^2}}{5}\).\) The function that has a range of \(\(\{y | y \leq 5\}\)\) is option \(\(b.\)  \(f(x) = -\frac{{(x - 4)^2}}{5}\).\)

To determine this, let's analyze the options:

\(\(a.\)  \(f(x) = \frac{{(x - 4)^2}}{5}\)\): This function will have a range of  \(\(y\)\)-values greater

than or equal to 0, so it does not have a range of \(\(\{y | y \leq 5\}\).\)

\(\(b.\)  \(f(x) = -\frac{{(x - 4)^2}}{5}\)\) : This function is a downward-opening parabola, and when we substitute various values of \(\(x\)\) , we get \(\(y\)\)-values less than or equal to 5. Therefore, this function has a range of \(\(\{y | y \leq 5\}\).\)

\(\(c.\)   \(f(x) = \frac{{(x - 5)^2}}{4}\)\): This function is an upward-opening parabola, and its

range will be  \(\(y\)\)-values greater than or equal to 0, so it does not have a

range of \(\(\{y | y \leq 5\}\).\)

\(\(d.\)   \(f(x) = -\frac{{(x - 5)^2}}{4}\)\): This function is a downward-opening parabola, and its range will be \(\(y\)\)-values less than or equal to 0, so it

does not have a range of \(\(\{y | y \leq 5\}\).\)

Therefore, the correct option is \(\(b. f(x) = -\frac{{(x - 4)^2}}{5}\).\)

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Answer: 4-4z

Step-by-step explanation: Coming the like terms in order to simplify the equation. There are four z's and they combine as they are like terms. Since we don't know the value of z, thats the most simplified form.

Answer:

3125 bacteria.

Step-by-step explanation:

We can write an exponential function to represent the situation.

We know that the current population is 100,000.

The population doubles each day.

The standard exponential function is given by:

\(P(t)=a(r)^t\)

Since our current population is 100,000, a = 100000.

Since our rate is doubling, r = 2.

So:

\(P(t)=100000(2)^t\)

We want to find the population five days ago.

So, we can say that t = -5. The negative represent the number of days that has passed.

Therefore:

\(\displaystyle P(-5)=100000(2)^{-5} = 100000 \Big( \frac{1}{32}\Big) = 3125 \text{ bacteria}\)

However, we dealing within this context, we really can't have negative days. Although it works in this case, it can cause some confusion. So, let's write a function based on the original population.

We know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, our function is:

\(P(t)=A(2)^t\)

After 5 days, we reach the 100,000 population. So, when t = 5, P(t) = 100000:

\(100000=A(2)^5\)

And solving for A, we acquire:

\(\displaystyle A=\frac{100000}{2^5}=3125\)

So, our function in terms of the original day is:

\(P (t) = 3125 (2)^t\)

So, it becomes apparent that the initial population (or the population 5 days ago) is 3125 bacteria.

Answer:

We can express the question in a exponential function

The current population is 100,000.

The population doubles each day.

The exponential function is given by: P(t)=a(r)^t

The current population is 100,000, a = 100000.

The rate is doubling, r = 2.

P(t)=100000(2)^t

As we know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, the function is:

P(t)=A(2)^t

After 5 days, the population reaches 100,000. So, when t = 5, P(t) = 100000:

100000=A(2)⁵

Now solving for A, we get

A=(100000)/(2⁵)=3125

So, the function in terms of the original day is:

P (t) = 3125 (2)^t

Hence, the initial population is 3125 bacteria.

8. True. T-tests are used to see whether the estimated coefficients are statistically significant. In the case of simple linear regression, a t-test is performed to determine if the slope coefficient is significantly different from zero.

The same test is used to see if an individual coefficient in a multiple regression model is statistically significant.

9. False. The LPM is not heteroskedastic. Heteroskedasticity is a term used to describe a situation where the variance of a variable is not constant. The LPM produces probabilities that are bounded between zero and one and therefore does not exhibit heteroskedasticity.

1. True. The linear probability model (LPM) is a multiple linear regression model with a binary dependent variable. The dependent variable is binary because it can take on only two values: 0 or 1. The LPM estimates the probability of observing a dependent variable that equals one, given a set of independent variables. The LPM is also known as the binary choice model.

It is crucial to be able to understand the concepts of these models to interpret and predict the behavior of the data.

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Answer:

=-10 or 25 depending on the placing of the 2

Step-by-step explanation:

(-A)2=(-5)x2=-10

(-A)^2=(-5)x(-5)=25

Answer:

160

Step-by-step explanation:

there are 4 weeks in a month and 40 * 4 is 160

Answer:

Yes

Step-by-step explanation:

Answer:

80 miles

Step-by-step explanation:

80 miles

Step-by-step explanation:

Using the relationship

distance = rate × time, hence

rate = distance/time = 24/3  = 8 mph

distance travelled in 10 hours at this rate

distance = 8 × 10 = 80 miles

By combinations, we get that there are 20,020 possible 6-topping pizzas.

Given that a pizza parlor offers a choice of 16 different toppings, we need to find the number of 6-topping pizzas that are possible. No double-orders of toppings are allowed. What is the number of 6-topping pizzas that are possible?

The formula for combinations is as follows:

ncr = (n!)/(r! * (n - r)!) where n = 16 (total number of toppings available)

r = 6 (number of toppings required for a pizza)

ncr = (16!)/(6! * (16 - 6)!)

⇒ ncr = (16!)/(6! * 10!)

⇒ ncr = (16 * 15 * 14 * 13 * 12 * 11)/(6 * 5 * 4 * 3 * 2 * 1)

⇒ ncr = (16 * 3 * 5 * 7 * 13 * 11)/(3 * 2 * 2)

⇒ ncr = 20,021

In this situation, the order of the toppings does not matter. Therefore, we cannot have a repeat of the same toppings, as mentioned. Hence the answer to the question is no. Thus, there are 20,020 possible 6-topping pizzas.

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Answer:

12/5

Step-by-step explanation:

I did study island.

Answer:

The answer to the question is 540°

Step-by-step explanation:

The reason to the answer is:-

There is a formula which is (n - 2) × 180

n is the number of sides the shape has, and there is 5 sides so we subtract 5 - 2 = 3

Therefore, 3 × 180 = 540°

I hope this answer helps!

Answer:

540°

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

We have a polygon with 5 sides (a pentagon)

n = 5

Step 2: Find Sum