Large numbers are those numbers that have a bigger value than the numbers that we use in daily life. such numbers tend to create a sense of fear among children and they often skip solving problems that have large numbers in them. for example, 1 million, 1 billion, etc., are large numbers that are used either to show the population of a country or express large amounts of money in a bank account.

The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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Answer:

6037.2 pounds of bamboo shoots does the female panda eat.

Step-by-step explanation:

Total pandas = 3

Total bamboo shoots eaten = 18112 pounds

Let baby panda eats bamboo = x

Male panda eats bamboo= 3x

Female panda eats bamboo = 2x

So, the equation will become

\(x+3x+2x=18112\)

Now solving the equation to find value of x

\(x+3x+2x=18112\\6x=18112\\x=\frac{18112}{6}\\x=3018.6\)

The value of x we get : x=3018.6

So, baby panda eats bamboo shoots = 3018.6 pounds

Male panda eats bamboo shoots = 3x = 3(3018.6) = 9055.8 pounds

Female panda eats bamboo shoots = 2x = 2(3018.6)= 6037.2 pounds

So, 6037.2 pounds of bamboo shoots does the female panda eat.

The system of equations solved by the elimination method gives (-2, 1)

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

y = -4x + 11

y = 1/2x + 2

Subtract the equations to eliminate y

So, we have the following representation

-4 1/2x - 9 = 0

So, we have

-4 1/2x = 9

Divide the equations

x = -2

Recall that

y = 1/2x + 2

So, we have

y = 1/2(-2) + 2

This gives

y = 1

Hence, the solutions are x = 2 and y = 1

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Answer:

the numbers outside of the radical get multiplied together and the numbers under the radical get multiplied together. Then see if you can simplify more.

Step-by-step explanation:

Answer:

f(g(x)) = 9x² - 6x - 4

Step-by-step explanation:

f(g(x) )

= f(3x - 1)

= (3x - 1)² - 5 ← expand factor using FOIL

= 9x² - 6x + 1 - 5

= 9x² - 6x - 4

Answer: 100 cell phones.

Step-by-step explanation:

The worker makes 2.5 phones an hour. 2.5 x 40 = 100.

Answer:

F

Step-by-step explanation:

because its linear

Answer: $3.75

Step-by-step explanation:

Answer:

The cost of 6 cans of soup is 3.75

Step-by-step explanation:

12 = 7.50

1 can = x

12x = 7.50

We need to find the cost of 1 can. So we divide 7.50 by 12.

x = 0.625

Then multiply by 6.

0.625 x 6 = 3.75

As a result the cost of 6 cans of sup is $3.75

Thus, distribution is a function that shows the possible values for a variable and how often they occur and categorical values are summarized by counts and/or percents

In statistics, the distribution is a function that shows the possible values for a variable and how often they occur.

The distribution of a data set is the shape of the graph when all possible values are plotted on a frequency graph. Usually, we are not able to collect all the data for our variable of interest. Therefore we take a sample. This sample is used to make conclusions about the whole data set.

The categorical variable is a data in which individuals are placed into groups or categories.

One way to summarize categorical data is to simply count (frequency), or tally up, the number of individuals that fall into each category. Another way is to show the percentage of individuals who fall into each category, thereby creating a relative frequency.

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Yes, a hole in a function is considered a type of discontinuity. A hole occurs when a point is missing from the graph of a function, which causes the graph to have a break in it.

A discontinuity is a break or jump in the graph of a function. A hole in a function is a type of discontinuity where a point is missing from the graph, causing the graph to have a break in it. This type of discontinuity is usually caused by a function having a denominator that is equal to zero, as this creates an undefined point on the graph. This can also occur when two parts of the function are not connected, causing an open gap in the graph. In both cases, the graph is not continuous and has a discontinuity at the point where the hole is present.

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Yes, the function has a hole in discontinuity.

The term function in math is called as a rule that gives value of a dependent variable that corresponds to specified values of one or more independent variables.

Here we to identify is a hole in a function a discontinuity.

the term discontinuity is defined as is discontinuous at a point if it becomes undefined or the limit at that point does not exist. And whether this point is known as the point of discontinuity.

While we looking the hole on a graph looks like a hollow circle. And which  represents the fact that the function approaches the point, here it is not actually defined on that precise value. Where the major reason why this function is not defined at is because is not in the domain of the function.

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Answer:

undefined

Step-by-step explanation:

First isolate x.

12 + 4x = 6x + 10 - 2x

12 + 4x = 4x + 10

     -4x     -4x

12 \(\neq\) 10

Analysis of variance is used to test for equality of several population means.

ANOVA could also be utilized to predict the dependent variable of even more with around 2 categories and seems to be compared to the general population extra influential throughout this circumstance.

Throughout addition, ANOVA variants typically include covariates that encourage somebody to manipulate numerically for confounding factors as well as to recognize interactions wherein the factor progressives the implications of some other factor.

ANOVA (Analysis of Variance) was developed by Ronald Fisher.

ANOVA means the Analysis of Variance, is collection of statistical models & linked estimation processes, like variation among & between groups. It is used in analyzing differences among various means.

Therefore, Analysis of variance is used to test for equality of several population means.

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Answer: 375

Step-by-step explanation:

Let x equal the number of comic books before her donation.

x × 0.36 = 135

135/0.36 = 375

On the given duration and the expected increase in interest rates, the predicted price change on the bond is approximately -1.68%.

To estimate the predicted price change on a bond given a change in interest rates, you can use the concept of bond duration. Bond duration measures the sensitivity of a bond's price to changes in interest rates.

In this case, you own a bond with a duration of 6 years, and you expect the interest rates to increase by 30 basis points (0.30%). To calculate the approximate percentage change in bond price, you can use the following formula:

Percentage Change in Bond Price \(^\sim_\sim\) - (Modified Duration × Change in Interest Rates)

Modified Duration is calculated as:

Modified Duration = Duration / (1 + Yield)

Here, the Yield refers to the yield to maturity (YTM) of the bond, which is equivalent to the interest rate in this case.

Let's assume the bond's yield to maturity is 7% (0.07). Now we can calculate the modified duration and the predicted price change:

Modified Duration = 6 years / (1 + 0.07) = 5.6075

Percentage Change in Bond Price \(^\sim_\sim\) - (5.6075 × 0.0030) \(^\sim_\sim\) -0.0168 or approximately -1.68%

Therefore, based on the given duration and the expected increase in interest rates, the predicted price change on the bond is approximately -1.68%. Note that this is an estimation, and actual price changes may depend on various other factors and market conditions.

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Answer:

-10/7

Step-by-step explanation:

w - 5 = 8w + 5

w - 8w = 5 + 5

-7w = 10

w = - 10/7

Answer:

Step-by-step explanation:

To solve this equation, group like terms together:  'w' terms on the right and constants on the left:

-10 = 7w.  Then:

w = -10/7 (exact) or w ≈ 1.43

Answer:

C

Step-by-step explanation:

I did the test

Answer:

c

Step-by-step explanation:

yes, for your x to be positive and to make it remain on the left hand side you actually have to add 4x to both side to eliminate x from the right hand side.

The number of party popper she bought is 32 and the number of balloons she bought is 18.

The first step is to form a system of equations using the information provided in the question.

0.20x + 0.50y = $20 equation 1

x + y = 52 equation 2

The solution using the elimination method :

Multiply equation 2 by 0.20

0.20x + 0.20y = 10.40 equation 3

Subtract equation 3 from equation 2 :

0.30y = 9.60

Divide both sides of the equation by 0.30

y = 9.60 / 0.30

y = 32

The solution using the substitution method:

Make x the subject of the formula in equation 2

x = 52 - y equation 3

Substitute for x in equation 1 :

0.20(52 - y) + 0.50y = $20

10.40 - 0.20y + 0.50y = $20

Combine similar terms together

0.50y - 0.20y = $20 - $10.40

0.30y = $9.60

y = 9.60 / 0.30

y = 32

x = 50 - 32

x = 18

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The inability to recall the original random letters in the Peterson and Peterson (1959) experiment was due in part to the decay of information in short-term memory (STM).

STM has a limited capacity and duration, which means that information can be lost over time if it is not rehearsed or refreshed.

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A number that represents the property of the sample is the statistics.

Statistics refer to that number that describes a particular property of a sample set of numbers. It is the common property shared by all the numbers of the sample set. It involves the collection of data and information and then categorizing them according to their properties and inferences.

'Mean and proportion' is mathematical calculations that can be carried out on statistic number sets.

Mean refers to the average of the number set that is provided to us. It is calculated by adding the numbers and dividing them by the number of terms.

Proportion refers to the fraction of the number set according to some characteristics shared by the numbers.

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The function y = 2x² - 5 is a nonlinear equation and the table of values is

x    0     1    2    3

y    -5    -3   5    13

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

y = 2x² - 5

As a general rule, a linear equation can take any of the following forms

By comparing y = 2x² - 5 to the above forms, we can see that the equation does not take any of the forms represented above

This means that the function is not a linear function

i.e. The function is a nonlinear function

Also, we set x = 0, 1, 2 and 3

So, we have

y = 2(0)² - 5= -5

y = 2(1)² - 5= -3

y = 2(2)² - 5= 5

y = 2(3)² - 5 = 13

So, the table of values is

x    0     1    2    3

y    -5    -3   5    13

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Information is needed to evaluate the project's financial viability, considering factors such as the initial investment, expected cash flows, cost of capital, and project duration.

To calculate the year 1 operating cash flows (OCF), we need to subtract the year 1 costs from the year 1 revenues:

OCF = Year 1 Revenues - Year 1 Costs

OCF = $192,000 - $125,000

OCF = $67,000

To find the depreciation expense in year 3, we need to determine the depreciation method. The provided information is incomplete regarding the depreciation method, so we cannot calculate the depreciation expense in year 3 without knowing the specific method.

The change in Net Working Capital (NWC) in year 2 can be determined by multiplying the Net Working Capital percentage (given as a percentage of t+1 revenues) by the year 1 revenues and subtracting the result from the year 2 revenues:

Change in NWC = (Year 2 Revenues - Net Working Capital percentage * Year 1 Revenues) - Year 1 Revenues

Without the specific Net Working Capital percentage or Year 2 Revenues values, we cannot calculate the exact change in NWC in year 2.

The net cash flow from salvage (ATSV) is calculated by multiplying the Salvage Value percentage by the Initial Cost:

ATSV = Salvage Value percentage * Initial Cost

ATSV = 28% * $390,000

ATSV = $109,200

To calculate the project's NPV, we need the cash flows for each year, the cost of capital, and the project duration. Unfortunately, the information provided does not include the cash flows for each year, so we cannot calculate the project's NPV.

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The complete question is:

Below are your numerical inputs for the problem: 4 & Initial Cost (\$) & 390000 5 & Year 1 Revenues (\$) & 192000 6 & Year 1 Costs (\$) & 125000  7 & Inflation & 2.75% 8 & Project Duration (years) & 6 9 & Depreciation Method & 10 & Tax Rate & 11 & Net Working Capital (\% oft+1 Revenues) & MACRS 12 & Salvage Value (\$) & 28.00% 13 & Cost of Capital & 15.00% & 245000 How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.

Answer:

5 pounds (80 ounces = 5 pounds)

The polar vector representation of the resultant vector is\(\[\vec R = 100\left( {\sqrt 3 + 1} \right)\left( { - \hat j} \right)\]\) .Therefore,\(\[\tan \theta = \frac{{\vec R_y}}{{\vec R_x}}\)\(= \frac{{ - 100}}{{0}}\) = not define

Three vectors are shown in the question, which are to be added to form the resultant vector, and its polar representation is to be reported after calculating the resultant vector.

The given value of X is 100 Ib.

Therefore, the given three vectors are\(\[\vec {V_1} = 100\sqrt 3 \hat j\]\), \(\[\vec {V_2} = 50\hat i - 100\hat j\]\),  \(\[\vec {V_3} = -50\hat i - 100\hat j\]\\\)

Now, we need to find the resultant vector. It is given by the sum of all the given vectors. Therefore,\(\[\vec R = \vec {V_1} + \vec {V_2} + \vec {V_3}\]\[\vec R = 100\sqrt 3 \hat j + 50\hat i - 100\hat j - 50\hat i - 100\hat j\]\[\vec R = -100\sqrt 3 \hat j - 100\hat j\]\[\vec R = -100 (\sqrt 3 + 1)\hat j\]\)

Now, let's represent this in polar form. The polar representation of a vector is given by\(\[\vec R = R\hat r\]\)

where,\(\[\begin{gathered} R = \left| {\vec R} \right| \hfill \\ \hat r = \cos \theta \hat i + \sin \theta \hat j \hfill \\ \end{gathered} \]\)

First, let's find the magnitude R. Therefore,\(\[\left| {\vec R} \right| = R = 100\left( {\sqrt 3 + 1} \right)\]\)

Now, let's find the angle θ between the vector and the x-axis.

Therefore,\(\[\tan \theta = \frac{{\vec R_y}}{{\vec R_x}}\)\(= \frac{{ - 100}}{{0}}\) = not define

Since the tangent is not defined, the angle θ is equal to 270°.

Therefore,\(\[\hat r = \cos 270\hat i + \sin 270\hat j = - \hat j\]\)

Therefore, the polar vector representation of the resultant vector is\(\[\vec R = 100\left( {\sqrt 3 + 1} \right)\left( { - \hat j} \right)\]\)

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The true statement about the graph is

It is a function with the domain {-6 < x < 0} and the range {0 ≤ y ≤ 5}.

The range refers to all possible value in the out put of a graph.

The out put is the y coordinate and the possible values here is within the interval

0 ≤ y ≤ 5

The domain refers to all possible value in the input of a graph.

The input is the x coordinate and the possible values here is within the interval

-6 ≤ x ≤ 0

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Answer:

the answer is 5

Step-by-step explanation:

the ratio is 4:1 so if you increase B to 20 you divide by 4 to get 5.

20:5=4:1

The second-order partial derivatives of the given function are; \(hxx = 0, \\hxy = (4e^y)\\ hyx = (4e^y) \\hyy = 0\)

The second-order partial derivative of this equation

\(h(x,y) = 4x e^y + 2y +6\)

we need to differentiate the function twice with respect to x and y, respectively by using the product rule and chain rule.

For instance, to find hxy, we differentiate h(x,y) with respect to x first, taking y as a constant

\(∂/∂x (h(x,y)) = 4e^y\)

We can also differentiate this result with respect to y, when x is considered as a constant:

\(∂/∂y (∂/∂x (h(x,y))) = ∂/∂y (4e^y) = 0\)

When we do similar differentiation to get this hxx, hyx, hyy

we have the second-order derivatives as follow;

\(hxx = 0\\hxy = (4e^y)\\hyx = (4e^y)\\hyy = 0\)

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Answer:

\(\boxed{\red{500 + x \leqslant 4500}}\\ x \leqslant 4500 - 500 \\ \blue{\underline{x \leqslant 4000}}\)

Answer:

Less

Step-by-step explanation:

Because we don’t know the value of x.