which direction does the graph of the equation shown below open

Answer: 64in cubed

Step-by-step explanation:

4x4x4

Answer:

64

Step-by-step explanation:

Volume of a cube-shaped box = a*a*a

4*4*4=64

Answer:

The statements that can be used to compare the characteristics of the functions are:

1. g(x) has the greatest maximum value.

2. All three functions share the same domain.

Explanation:

- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.

- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.

- We can see that g(x) has the highest maximum value among the three functions, which is 8.

- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.

- We cannot say anything about the domain or range of f(x) based on the given table.

- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.

Answer:

The correct answer is 128

Answer: Total cost for 1 ride = $11. Total cost for 2 rides = $14. Total cost for 3 rides = $17. Total cost for 4 rides = $20. Total cost for 5 rides = $23

Step-by-step explanation:

Answer:

The correct answer is 16

Step-by-step explanation:

Answer:

C. 100

Step-by-step explanation:

Assuming that the proportion of tagged hogs in the population is the same as the proportion of tagged hogs in the sample that was later observed, we can set up a proportion to estimate the total population of wild hogs:

tagged hogs in population / total population = tagged hogs in sample / size of sample

We know that 20 wild hogs were tagged and released, and that 8 out of 40 hogs observed were tagged. So we can plug these numbers into the proportion and solve for the total population:

20 / total population = 8 / 40

Simplifying this equation, we get:

total population = (20 * 40) / 8 = 100

Therefore, the wildlife group can estimate that the total population of wild hogs in the area is 100. Answer choice C is correct.

Hope this helps!

The total number of possible ways to award 3 medals to 4 finalists are 24.

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters. Mathematically, number of possible arrangements can be calculated using -

\(\bold{P(n, r) = n! \div (n - r)!}\)

Given is a dog show in which 3 medals are to be awarded to 4 finalists.

Number of medals [n] = 3

Number of finalists [f] = 4

Number of ways for awarding 3 medals to 4 finalists can be calculated using permutation as follows -

\(\bold{P(n, r) = n! \div (n - r)!}\)

\(\text{P}(4, 3) = 4! \div (4 - 3)!\)

\(\text{P}(4, 3) = 4! \div 1!\)

\(\text{P}(4, 3) = (4 \times 3 \times 2 \times 1 )\div(1 \times 1)\)

\(\text{P}(4, 3) = 4 \times 3 \times 2\)

\(\bold{P(4, 3) = 24}\)

Therefore, the total number of possible ways to award 3 medals to 4 finalists are 24.

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Answer:

d<7

Step-by-step explanation:

Answer: 13,467

Step-by-step explanation:

The first multiply of 3 after 100 is 102 (102/3 = 34) and the last multiple of three before 301 is 300 (300/3 = 100).

So, we can organize the multiples of 3 in a sequence: (102, 105, ..., 297, 300).

As we can see, we have an arithmetic sequence above, with the following parameters:

first term = a1 = 102

last term = an = 300

number of terms = n = ?

common difference = d = 3

First, we have to find the number of terms of this sequence. To do this, we can use the following formula:

Now, we can use the formula for the sum (S) of the arithmetic sequence and find the sum of the terms:

The sum is 13,467.

To rank the libraries from 1 having the greatest total number of comic books to 5 having the least total number of comic books, we need to first calculate the total number of books in each library.

Let's start by using the information given to find the total number of books in each library:

For Library A, we know that 30 comic books are 2% of its total books. So, we can set up the following equation:

 30 = 0.02x

where x is the total number of books in Library A. Solving for x, we get:

 x = 1500

Therefore, Library A has a total of 1500 books.

For Library B, we know that 45 comic books are 5% of its total books. So, we can set up the following equation:

 45 = 0.05x

where x is the total number of books in Library B. Solving for x, we get:

 x = 900

Therefore, Library B has a total of 900 books.

For Library C, we know that 65 comic books are 2% of its total books. So, we can set up the following equation:

 65 = 0.02x

where x is the total number of books in Library C. Solving for x, we get:

 x = 3250

Therefore, Library C has a total of 3250 books.

For Library D, we know that 75 comic books are 10% of its total books. So, we can set up the following equation:

 75 = 0.1x

where x is the total number of books in Library D. Solving for x, we get:

 x = 750

Therefore, Library D has a total of 750 books.

For Library E, we know that 90 comic books are 3% of its total books. So, we can set up the following equation:

 90 = 0.03x

where x is the total number of books in Library E. Solving for x, we get:

 x = 3000

Therefore, Library E has a total of 3000 books.

Now that we have the total number of books in each library, we can rank them based on the number of comic books they have:

Library C: 65 comic books

Library E: 90 comic books

Library B: 45 comic books

Library A: 30 comic books

Library D: 75 comic books

Therefore, the libraries ranked from 1 having the greatest total number of comic books to 5 having the least total number of comic books are: C, E, B, A, D.

Answer:

  350

Step-by-step explanation:

The transformation sequence of the function is:

The function is first shifted to the left, then vertically stretched, and finally vertically shifted up and down to get the final graph.

We have,

The transformations of f(x) = 2^x to get to g(x) = -5 + 2^{x + 6} + 3 are as follows:

Translation:

f(x) is translated 6 units to the left, which gives 2^{x+6}.

Vertical stretch/compression:

The entire function is multiplied by 2, which makes it taller.

Vertical shift:

The entire function is shifted up 3 units and down 5 units, which raises the entire graph 3 units and then lowers it 5 units from its original position.

Thus,

The function is first shifted to the left, then vertically stretched, and finally vertically shifted up and down to get the final graph.

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By the SSS Congruence Theorem, △ABC ≅ △DEF.

What does a math congruent mean?

Congruent refers to having precisely the same form and size. Even after the forms have been flipped, turned, or rotated, the shape and size ought to remain constant.

What is the SSS rule?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.

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The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Given −48.132 ÷ −0.84.

Then the value of the expression will be

⇒ −48.132 / −0.84

If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.

⇒ 48.132 / 0.84

⇒ 57.30

The quotient of the expressions −48.132 and −0.84 will be 57.30.

Then the correct option is C.

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The 55th term of the arithmetic sequence is 131.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

Given that, the nth term of the sequence is aₙ= -1+3(n−1)

Here, the 55th term in the sequence is

a₅₅= -1+3(55-1)

= -1+132

= 131

Therefore, the 55th term is 131.

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(a)

\(\dfrac{\partial f}{\partial x}=x^2\implies f(x,y)=\dfrac{x^3}3+g(y)\)

\(\dfrac{\partial f}{\partial y}=\dfrac{\mathrm dg}{\mathrm dy}=y^2\implies g(y)=\dfrac{y^3}3+C\)

\(\implies f(x,y)=\dfrac{x^3+y^3}3+C\)

(b)

\(\displaystyle\int_C\nabla f\cdot\mathrm d\mathbf r=f(2,8)-f(-1,2)=\boxed{171}\)

According to the table, the average number of pools sold per month during this period is 14 (to the nearest tenth)

It is defined as the ratio of summation of all the data to the number of units present in the list. It can also be the middle value, calculated by dividing the total of all the values by the number of values.

The average can also be defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

It is represented mathematically as;

Average = Sum of Values/Number of Values

Average = total swimming pools sold in six months / number of months

Average = (11 + 10 + 12 + 16 + 15 + 18) / 6

Average = 82/6

Average = 13.7

Average = 14 (to the nearest tenth)

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Answer:

x = 13.5 weeks

Step-by-step explanation:

Since he wants to save $189 in total, that will be on one side of the equation by itself. You have to set this up in a y = mx + b equation. The y will be the 189. Since the word "each" goes with the number 14, that will be your m value. There is no value for b.

189 = 14x is your equation. The only step after setting up the equation is to divide 189 by 14. This gives you 13.5. Dennis will have to save up for 13.5 weeks.

Answer:

i think its D) 30m+100

Step-by-step explanation:

Hi there!

it would be 30m+100

Expressions can’t have equal signs or just a number so we can cross out A and B...

m-30m means money-30 times money which doesn’t make sense.

30m+100 would be 30m+100 which is correct since the total would be 130$ and if m is 1, then this expression is correct,

Therefore, the expression would be 30m+100.

Answer:

The mother is 30 and the daughter is 6

Step-by-step explanation:

When solving for this, you can derive the equations

x=5y and x+6= 3(y+6)

x= mother and y= Daughter

Solve the equations by substituting the first equation into the places of x in the second equation to get the value of x. Next, pug in the value of x and solve for y.

Step-by-step explanation:

\(3 \frac{3}{4} = \frac{3 \times 4 + 3}{4} = \frac{15}{9} \\ \)

The linear function that describes the distance (in miles) is therefore y = 65x + 80

We have to find the slope and the intercept in other to get the linear function

The data points are:

(1, 145) and (3, 275).

m = (y2 - y1) / (x2 - x1)

fixing the data points we have

m = (275 - 145) / (3 - 1)

= 130 / 2

= 65

y = mx + b

(1, 145):

145 = 65(1) + b

b = 145 - 65

= 80

y intercept is 80

The linear function is therefore y = 65x + 80

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Answer:

The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.

Step-by-step explanation:

Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing

In this case:

Probability of Winning = 0.05

Payout for Win = $5

Cost of Playing = $1

Expected Value = (0.05 * $5) - $1

Expected Value = $0.25 - $1

Expected Value = -$0.75

Answer:

Step-by-step explanation:

x^1/3( x^1/2 + 2x^2)

x^(1/2 + 1/3) + 2x^(2 + 1/3)

x^(5/6) + 2x^(7/3)

The correct option is A. i.e., \(c^2 = a^2 + b^2 - 2ab cos (90)\)°

Given,

From the figure:

The triangle which of the following equations correctly represents the relationship between a ,b, c

Now, According to the question:

The relationship between the three sides of a triangle ABC is:

\(c^2 = a^2 + b^2 - 2ab cos (90)\)°

From the diagram,

The angle opposite to c is 90°

Thus, \(c^2 = a^2 + b^2 - 2ab cos (90)\)

Hence, The correct option is A. i.e., \(c^2 = a^2 + b^2 - 2ab cos (90)\)°

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The solution is, After decreasing £16870 by 3% we get, £16363.90.

Here, we have,

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

First, find the percentage of £16870 by 3%

%value = 3% * 16870

           = (3 / 100) * 16870

           = 506.1

Now, just minus with actual value

New value = actual value - %value

We know, actual value = £16870 and %value = 506.1

so, New value = 16870 - 506.1

we get, New value = £16363.90

Therefore, After decreasing £16870 by 3% we get, £16363.90

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complete question:

Decrease £16870 by 3%

Give your answer rounded to 2 DP.

Answer:

On a plane

Step-by-step explanation:

Answer:

A plane

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

First, we need to cross multiply on both sides, which gives us:

9 * (5x - 6) = 27 * (2 + x)

45x - 54 = 54 + 27x

Now, we want to isolate x on either side.

We can substract 54 from both sides:

(45x - 54 = 54 + 27x) - 54

45x - 108 = 27x

We then subtract 45 from both sides:

(45x - 108 = 27x) - 45

-108 = -18x

Finally, we divide both sides by -18:

(-108 = -18x) / -18

6 = x

Answer:

Let's assume the original price of the stock was x.

When the company announced it overestimated demand, the stock price fell by 40%.

So, the new price of the stock after the first decline was:

x - 0.4x = 0.6x

A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.

So, the new price of the stock after the second decline was:

0.6x - 0.6(0.6x) = 0.24x

Given that the current stock price is $2.40, we can set up the equation:

0.24x = 2.40

Solving for x, we get:

x = 10

Therefore, the stock was originally selling for $10.