Type the correct answer in each box. Round your answers to the nearest dollar.

These are the cost and revenue functions for a line of 24-pound bags of dog food sold by a large distributor:

R(x) = -31.72x2 + 2,030x
C(x) = -126.96x + 26,391

The maximum profit of $
can be made when the selling price of the dog food is set to $
per bag.

To find the slope of a line perpendicular to the given line, we first need to find the slope of the given line. We can rearrange the equation x + y = -6 to slope-intercept form y = -x - 6, where the slope is -1.

The slope of a line perpendicular to this line can be found by taking the negative reciprocal of the slope of the given line. The negative reciprocal of -1 is 1/1, which is just 1.

Therefore, the slope of a line perpendicular to the line x+y=-6 is 1.

Answer:

pls provide more evidence to answer the question or information

Step-by-step explanation:

Answer:

√3 + 24/5 or 6.532

Step-by-step explanation:

I hope this helps.

Answer:

the answer is 76.8

Step-by-step explanation:

multiple of the number

Answer:

y = 60x + 20

y = 65x

0 = 5x - 20

5x = 20

x = 4  ---> 4 hours

Substitute x as 4:

y = 65 x 4

y = 260 ---> 260 miles

So the answer is A

Answer:     10000

Step By Step Explanation:     area=100×100=10000

Answer:

98--(&_$4567;'#234678

Answer:

N(AUB)=28+45

=73

Step-by-step explanation:

Let the age of students in a certain public high school be x;

So, we create a table of values as follows;

First, we fine the mean of the distribution, we have;

Thus, the standard deviation of the distribution is;

Then, we will insert the deviation in the table above,

Then, we have;

The standard deviation of the ages is 1.2751

Also, the variance is;

The variance is the square of standard deviation, we have;

Thus, the variance of the ages is 1.6259

Using the Central Limit Theorem, the given statements are true or false in following

a) True

b) True

c) True

d)True

e) True

a) From the definition of central limit theorem, by law of large number to sample average converge almost slowly to the population average.

So, based on CLT the sample mean be used a3 gond estimator of the population mean assuing that the sample size. sufficiently large i.e ., True.

b) Same reason as (a) , based on CLT the usually considers that sample 51Z6 30 is sufficiently large is true

c) If we generate 1000 samples of Binomial (10;0.3)distribution are plot a histogram then it looks like normal distribution.

So, the Central Limit Theorem be applied to both discrete and continols Fandom variables is true.

d) Whatever be the parent distribution , if sample size ,n is large then sample mean means

converges in probability to the population mean.

So, the given option (d) is true .

e) If population size is normally distributed then sample mean is also normally distributed for all sample size.

So, option(e) is also true.

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Complete question:

Problem Central Limit Theorem) _ Are the following statements true or false?

a)Easy. Based the Central Limit Theorem_ the sample mean be used a3 gond estimator of the population mean assuing that the sample size. sufficiently large.

b)Easy. Then applying the Central Limit Theorem. l usually conziders that sample 51Z6 30 is sufficiently large.

c)Easy. the Central Limit Theorem be applied to both discrete and continols Fandom variables .

d): Assuming that the sample size is sufficiently large the Central Limit Theorem permits draw conclusions about the population based strictly sample data. and without having aIV knowledge about the distribution of the underlying population:

(e) Moderate_ Assuming that the population is normally distributed_ the sampling distribution of the sample mean is normally distributed for samples of all sizes_

It is true that the objective function and the restrictions in a linear programming problem must be linear functions of the choice variables.

The method of choosing the best result from a linear function is known as linear programming. Making a few straightforward assumptions is the easiest way to accomplish linear optimization. As the goal function, the linear function is referred to. Real-life relationships can be quite challenging. However, such interactions can be represented using linear programming, which facilitates analysis of such relationships.

When the need of a mathematical model are represented by linear relationships as, the optimal result can also be obtained using a technique known as the linear programming (LP), sometimes known as linear optimization. A particular type of mathematical programming is linear programming.

Formally speaking, linear programming is the method for optimizing a linear objective function under the restrictions of the linear equality and linear inequality. Convex polytopes, a set defined as the total intersection of a finite number of half spaces, each of which is determined by the linear inequality, make up viable region.

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Answer:

53 degrees

Step-by-step explanation:

y = 180 - 90 - 37

y = 90 - 37

y = 53 degrees

hopefully this helps :) plz mark brainliest

Given:

Fraction of cake left = ¾

Let's find the number of 3/16 size portions of the remaining cake he can share with his family.

To find the amount of 3/16 size portions he can share, divide the remainder by 3/16.

Thus, we have;

To divide the fractions, change the division symbol to multiplication and flip the fraction on the right.

We have:

Therefore, he can share 4 portions of 3/16

ANSWER:

4

Based on the context of the problem, the range of the exponential function y = \(45,529(0.78)^x\) is y > 0.

The exponential function for depreciation given in the problem is:

y = 45,529(0.78)^x

This function gives us the value of Sharlene's truck in dollars after x months of ownership, assuming that the depreciation follows a constant rate and is modeled by an exponential function.

To find the range of the function, we need to consider the minimum value that y can take. Since depreciation leads to a decrease in value over time, y should always be greater than zero. In other words, the range of the function is:

y > 0

In practical terms, this means that Sharlene's truck will always have some positive value, even if its market value has decreased due to depreciation. In other words, a truck is never worth zero or less than zero (unless it has additional debts associated with it), and Sharlene's truck will always have some resale or scrap value even if it has depreciated significantly.

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Both events have the same likelihood of occurring. The probability of both events is 1/16.

Using Pascal's triangle, we can fill in the entries in the table for shooting 4 times:

Number of Hits (k)     Probability

0                                      1/16

1                                      4/16

2                                      6/16

3                                      4/16

4                                      1/16

To determine which is more likely, we compare the probability of having three hits in three shots with the probability of having three hits and one miss in four shots.

The probability of having three hits in three shots is obtained from the third entry in the table, which is 4/16.

The probability of having three hits and one miss in four shots can be calculated by multiplying the probability of a hit (1/2) by itself three times (since there are three hits), and then multiplying it by the probability of a miss (1/2). Therefore, the probability is (1/2)^3 * (1/2) = 1/16.

Comparing the probabilities, we can see that both events have the same probability of 1/16. Therefore, it is equally likely to have three hits in three shots and to have three hits and one miss in four shots.

In other words, both events have the same likelihood of occurring.

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The weighted mean takes into account the weight of each investment and can provide a more accurate measure of the overall rate of return on the portfolio than the mean or median.

The weighted mean, mean, and median overall rate of return on this investment portfolio can be calculated using the following formulas:

Weighted Mean: Weighted mean = (R1 x W1) + (R2 x W2) + (R3 x W3) + ...

Mean: Mean = (R1 + R2 + R3 + ...) / N

Median: Median = (N + 1) / 2

where R1, R2, etc. are the returns on individual investments, W1, W2, etc. are the weights assigned to each investment, and N is the total number of investments in the portfolio.

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The distance of the trenches is 13 feet.

Joseph wants to dig a trench in his back yard to bury a cable.  He mapped out his back yard so that it is a coordinate plane so that each unit represents 1 foot, He needs to dig from (-4,1) to (8,6).  He digs a straight line.

The length of the trenches can be calculated using distance formula as follows:

Therefore,

d = √(y₂ - y₁)² + (x₂ - x₁)²

using (-4, 1) and (8, 6)

x₁ = - 4

x₂ = 8

y₁ = 1

y₂ = 6

Hence,

distance of the trenches = √(6 - 1)² + (8 + 4)²

distance of the trenches = √5² + 12²

distance of the trenches = 25 + 144

distance of the trenches = √169

Therefore,

distance of the trenches = 13 feet

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The statement that is true about Scientific process and method is the scientific process is a continuous process of collecting data and refining hypothesis.  

Studies and researches are done by a scientific method which follows certain standards and protocols. The method starts with an observation, a question is asked why it happens and formulating a hypothesis. Either we can do a controlled experiment to test whether the hypothesis is correct or not, or we can do a non-experimental hypothesis, where experimenting will not be ethical.

The scientific process is a continuous process, which need to be collecting data and refining hypothesis. Even our data support hypothesis, the data might not be true in some cases. So work on a scientific concept is never complete. Even if we have data on causes and effects of a natural phenomena, we could not necessarily predict it every time, example: earthquake. Also, while collecting data, we should be fair in its treatment. We can't take data that only support our hypothesis.

So, the correct statement is option c. Scientific process is a continuous process of collecting data and refining hypotheses.

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5-card hands have at least one club  2023203

5-card hands have at least two cards with the same rank 916,272

N[at least one club] = N[total ways] - N'[at least one club]

                               = N[total ways] - N[no clubs]

There are 39 cards without a club. So there are 39 choose 5 = 575757 ways to not get a club.

There are 2598960 possible hands, leaving us with 2598960-575757 ways.

Which is 2023203 hands.

How many 5 card hands will have (at least) two of the same number?

This is a standard deck. Take 2–10 to be what I mean by numbers.

N=∑k=24(91)(4k)⋅(125−k)(41)5−k+[(92)+(91)(41)](42)2⋅(111)(41)

+(91)(42)⋅(121)(43)+(91)(43)⋅(41)(42)

=(760,320+38,016+432)+114,048+2,592+864

=916,272

A standard deck of playing cards contains 13 unique ranks, each with 4 distinct suits. Since we are interested in only pairs from ranks 2 to 10, we shall define A be the collection of the 9 relevant ranks and B be the collection of the 4 ranks (ace, jack, queen, king) where pairs are not a consideration. Collection C is the union of A and B, which contains all 13 ranks.

When computing probabilities we need to select the ranks(s) from a collection and then choose a number of suits (cards). When ranks are chosen from either A or B they are also chosen from C. This is important since we might choose twice from the same collection. For example, we might choose a rank from A for a pair (9 choose 1) and later choose 3 ranks from C for singletons (12 choose 3).

To hopefully make understanding the logic easier, I have first chosen the ranks either from A, B, or C, and immediately following I have chosen the number of cards, which is always choosing from 4 suits. I have inserted a dot between different card selections.

We begin by computing the number of combinations with exactly 2, 3, and 4 of a kind from A. The singletons come from C.

N1=∑k=24(91)(4k)⋅(125−k)(41)5−k=760,320+38,016+432=798,768

We add the case of either two pairs from A or a pair from each of A and B. The singleton comes from C.

N2=[(92)+(91)(41)](42)2⋅(111)(41)=114,048

We add the case of a pair from A and 3 of a kind from C.

N3=(91)(42)⋅(121)(43)=2,592

Finally, we add the case of 3 of a kind from A and a pair from B. Note that the case of both 3 of a kind and a pair from A is the same as the case of both a pair and 3 of a kind from A, which has already been included.

N4=(91)(43)⋅(41)(42)=864

N=N1+N2+N3+N4=916,272

5-card hands have at least one club  2023203

5-card hands have at least two cards with the same rank 916,272

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Yes, that statement is true. If a function f(x,y) has critical points at (-1,-1) and (1,1), then we can use the Second Derivative Test to determine whether these points correspond to local minima or maxima.

First, we need to compute the Hessian matrix of second partial derivatives of f:

H = [f_xx f_xy]

[f_xy f_yy]

At each critical point, we evaluate the Hessian matrix and determine its eigenvalues. If both eigenvalues are positive, then the critical point corresponds to a local minimum. If both eigenvalues are negative, then the critical point corresponds to a local maximum. If the eigenvalues have opposite signs, then the critical point corresponds to a saddle point.

In this case, we have:

f_x = 0 when (x,y) = (-1,-1) and (x,y) = (1,1)

f_y = 0 when (x,y) = (-1,-1) and (x,y) = (1,1)

So the critical points are (-1,-1) and (1,1). To determine whether they are local minima or maxima, we need to compute the Hessian matrix at each point:

H(-1,-1) = [f_xx(-1,-1) f_xy(-1,-1)]

[f_xy(-1,-1) f_yy(-1,-1)]

H(1,1) = [f_xx(1,1) f_xy(1,1)]

[f_xy(1,1) f_yy(1,1)]

Since we only know that the critical points exist, we cannot determine the exact values of the partial derivatives or the Hessian matrix, so we cannot calculate the eigenvalues. However, we can use the fact that the function has two critical points to argue that (-1,-1) must be a local minimum and (1,1) must be a local maximum.

Intuitively, if there is a critical point at (-1,-1), then the function must be decreasing in all directions near that point, since if it were increasing in any direction, there would be another critical point in that direction.

Similarly, if there is a critical point at (1,1), then the function must be increasing in all directions near that point, since if it were decreasing in any direction, there would be another critical point in that direction. Therefore, (-1,-1) is a local minimum and (1,1) is a local maximum.

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Answer:

G = 0.75s

Step-by-step explanation:

First find the unit rate: How many gallons of water can be pumped in 1 second. This means you just have to divide by however many seconds it is being pumped. I'm using 12 and 9. 9/12 = 0.75. This means that in 1 second 0.75 or 3/4 of a gallon will be pumped. Therefore:

G = 0.75s

Omar's time rounded to the nearest hundredth of a second is equal to 9.85 seconds.

In Mathematics, a place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:

Generally speaking, the place value of the digit "4" is hundredth and as such, we would round it up to 5 because it is followed by the number 6:

Time = 9.846 ≈ 9.85 seconds.

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Answer:

The slope is 0

Step-by-step explanation:

Using the slope formula \((y_{2}-y_{1})/(x_{2} - x_{2})\) you get:

8-8/ -11 - -5

0/-6

The slope is zero, a horizontal line through y = 8.

Answer:

m = 0

Step-by-step explanation:

Let P2 = (-11, 8)

P1 = (-5, 8)

Use the following equation for the slope:

\(m = \frac{(y \frac{}{2} - y \frac{}{1} )}{(x \frac{}{1} - x \frac{}{1} )} \)

= (8 - 8) / (-5 + 11)

= 0

This means that the line is horizontal.

Answer:there is no g .no h

Step-by-step explanation:how can we tell u have a calculator right

Answer:

Answer:

m= 1/3

Step-by-step explanation:

m= y2-y1/x2-x1

m= 4-2/5-(-1)

m= 2/6

m= 1/3

Answer:

Working and Solution for Each Answer Provided Below

Step-by-step explanation:

1)The trapezium is a rectangle's area+ a triangles

Rectangle-L=9cm

                 W=6cm

Triangle-H=6cm

              W=15-9=6cm

Therefore 6×9+6×6÷2=72cm squared

2)The next one is the same but with 2 triangles and therefore I won't do all the working like the previous question.

=Rectangle+Triangle+Triangle

=50×32+20×32÷2+20×32÷2

=2,240m squared

3)7×20+9×20÷2

=140+90

=230cm squared

4)4×3+3×4÷2+1×4÷2

=20 units squared

5)a)3×3=9 units squared

  b)1×3÷2=1.5 units squared

  c)3×3+3×1÷2+3×1÷2=12 units squared

6)a)2×6=12cm squared

  b)6×2=12-They are equal in size and therefore divide by 4

            =3 units squared

7)2 triangles=3×2=6 units squared ×2 (for 4 triangles)=12 units squared

8)base of a triangle=(8-6)÷2=1 (for extra marks you can state that this triangle should be impossible due to the Pythagorean theorem)

area=4+4+24=32cm squared

9)area=9×6+6×6+5×6=120 cm squared

10)4 triangles /     2 triangles=3×3=9

4 triangles=18 units squared

Answer:

The length and width of rectangle are 90 feet and 22.5 feet.

Step-by-step explanation:

Let the,

Now, according to the question substituting all the given values in the formula to find the value of x :

\( \longrightarrow{\pmb{\sf{P = 2(L + W)}}}\)

\( \longrightarrow{\sf{P = 2(L + W)}}\)

\( \longrightarrow{\sf{225= 2 \bigg(x + \dfrac{x}{4} \bigg)}}\)

\( \longrightarrow{\sf{225= 2 \bigg(\dfrac{4x + x}{4} \bigg)}}\)

\( \longrightarrow{\sf{225= 2 \bigg(\dfrac{5x}{4} \bigg)}}\)

\( \longrightarrow{\sf{225= 2 \times \dfrac{5x}{4}}}\)

\( \longrightarrow{\sf{225= \dfrac{2 \times 5x}{4}}}\)

\( \longrightarrow{\sf{225= \dfrac{10x}{4}}}\)

\( \longrightarrow{\sf{10x = 225 \times 4}}\)

\( \longrightarrow{\sf{10x = 900}}\)

\( \longrightarrow{\sf{x = \dfrac{900}{10}}}\)

\(\longrightarrow{\sf{\underline{\underline{x = 90}}}}\)

Hence, the value of x is 90.

Now, we know the value of x. So, calculating the length and width of rectangle :

\(\rule{300}{2.5}\)

Answer:

The answer is 8 please Brainlist me

Step-by-step explanation:

6^2+h^2=10^2

36+h^2=100

Solving for h gives 8

Answer:

height = 8

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

with hypotenuse = 10 and legs 12 ÷ 2 = 6 and height h , then

h² + 6² = 10²

h² + 36 = 100 ( subtract 36 from both sides )

h² = 64 ( take square root of both sides )

h = \(\sqrt{64} \) = 8