Pls show your work thank you will mark the Brainliest

Answer:

30/7

Step-by-step explanation:

use desmos ( look it up(

The maximum volume of the cylindrical box is approximately 0.928 cubic units.

The volume of the cylindrical box can be calculated using the formula:

V = πr²h

Given:

Height = -x

Radius = 1/2 - x

Substituting the given values into the volume formula, we get:

V = π(1/2 - x)²(-x)

Simplifying the expression, we have:

V = -π/4 x³ - π/2 x² + π/4 x

The volume function obtained is a cubic function. To find the maximum volume, we need to differentiate the function and set it equal to zero. Then we can verify if the obtained value is a maximum.

Let's differentiate the volume function:

V' = -3π/4 x² - πx + π/4

Setting V' equal to zero:

-3π/4 x² - πx + π/4 = 0

Multiplying the equation by -4/π:

-3x² - 4x + 1 = 0

Solving the quadratic equation, we find the values of x as:

x = (-(-4) ± √((-4)² - 4(-3)(1))) / (2(-3))

= (4 ± √(16 + 12)) / 6

= (4 ± √28) / 6

= (2 ± √7) / 3

Substituting the value (2 + √7) / 3 into the volume equation, we get:

V = -π/4 [(2 + √7) / 3]³ - π/2 [(2 + √7) / 3]² + π/4 [(2 + √7) / 3]

≈ 0.928 cubic units

Therefore, The maximal volume of the cylindrical box is roughly 0.928 cubic units.

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Answer: I think it's either C or A but, my gut is saying A :)

A 10% increase in cigarette prices has been found to result in a 4% decrease of smokers.

An increase in cigarette price will result in a decrease in the demand for cigarettes.

Since more money needs to be spent to but the same product, less consumers can be able to afford it.

Therefore, a 10% increase in cigarette prices has been found to result in a 4% decrease of smokers.

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Answer:

c

Step-by-step explanation:

Answer:

The rule of the transformation is 6 units up and 3 units to the right \(T_{(3, \ 6)}\) and an horizontal dilation of 2 as well as a vertical dilation of 4.

Step-by-step explanation:

The given coordinates of EFG and E'F'G' from the chart are;

E(3, 2)

F(9, 5)

G(9, 2)

E'(6, 8)

F'(18, 20)

G'(18, 8)

Therefore, we have, given that the y-coordinates of E and G are the same, the length of segment EG = 9 - 3 = 6 units

Similarly, given that the x-coordinates of F and G are the same, the length of segment FG = 5 - 2 = 3 units

The length of segment FE =  \(l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\) which gives;

Length from E(3, 2) to F(9, 5) = \(l = \sqrt{\left (5-2 \right )^{2}+\left (9-3 \right )^{2}} = 3 \cdot \sqrt{5}\)

For similarly oriented E'F'G', we have;

E'G' = 18 - 6 = 12

F'G' = 20 - 8 = 12

E'F' = 12·√2

Therefore, the transformation is 6 units up and 3 units to the right and an horizontal dilation of 2 as well as a vertical dilation of 4.

The value of the legs of the triangle would be hypotenuse/√2.

You can use basic trigonometry to solve this problem. We know that the sine of the angle made by the hypotenuse and the base is equal to the ratio of perpendicular height and the hypotenuse, given that the angle is 45° the perpendicular will be equal to ⇒ hypotenuse × sin(45°).

That is perpendicular=hypotenuse/√2

Similarly, the cosine of the angle made by the hypotenuse and the base is equal to the ratio of base length and the hypotenuse, given that the angle is 45° the base will be equal to ⇒ hypotenuse × cos(45°)

That is base=hypotenuse/√2

Therefore, the value of the legs of the 45°-45°-90° triangle would be hypotenuse/√2.

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The mean of a set of numbers is the sum divided by the number of terms.

The mean is 6

Answer:

She ate 18 cookies

Step-by-step explanation:

If you multiply your percent which is 45% by 40 you will get your answer

0.45x40=18

Answer:

5^18.

Step-by-step explanation:

By the law of indices:

(a^b)^c = a^(bc)

So (5^3)^6

= 5^(3*6)

= 5^18.

Answer:

Please see attached images for solution.

Step-by-step explanation:

(a) The firm's output supply function is given by q = (p + 199) / 2.

(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.

(c) Each firm sells 70 computers in the long run.

(39 - 0.009q) = (2q - 2) / q

Simplifying the equation, we find:

q = (p + 199) / 2

This represents the firm's output supply function.

p = 39 - 0.009((p + 199) / 2)

Simplifying and solving for p, we get:

p ≈ $32.56

Substituting this price back into the output supply function, we find:

q = (32.56 + 199) / 2 ≈ 115.78

Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:

Number of firms = q / 70 ≈ 10

70 * 10 = 700

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Answer:

32.5

Step-by-step explanation:

23x6÷4-2 and that's how you get your answer

The temperature was 3 degrees colder in the afternoon.

Given the following temperature values

• Temperature of thermometer in the morning = -2°C.

• Temperature of thermometer in the evening = -5°C.

Find the change in temperature

Note that the lower the temperature, the colder it will be and the higher the temperature, the warmer.

Since the temperature in the afternoon is lower than the temperature in the morning, hence the temperature is colder in the afternoon.

Based on the explanations above we can conclude that the temperature was 3 degrees colder in the afternoon.

The component form and magnitude of the vector are;

v = 3·i - 2·j

||v|| = √(14)

The component form of a vector is expressed as <x, y>, which indicates the distance of the vector to the right or left, x-component, and the distance up or down of the y-component.

The coordinate points on the vector are; (0, 0), and (3, -2)

The component form of the vector consists of the horizontal and vertical components, which can be found as follows;

Horizontal component = (3 - 0)·i = 3·i

The vertical component = (-2 - 0)·j = -2·j

The component form of the vector is therefore;

v = ⟨3, -2⟩

The magnitude of the vector can be obtained as follows;

||v|| = √((3 - 0)² + (-2 - 0)²) = √(14)

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Answer:

The average rate of change of a function over an interval is found by taking the difference between the function's values at the endpoints of the interval and dividing by the length of the interval. In this case, we have:

f(1) = -3(1)^3 + 7(1) = -3 + 7 = 4

f(3) = -3(3)^3 + 7(3) = -27 + 21 = -6

The average rate of change over the interval from x=1 to x=3 is therefore (-6 - 4) / (3 - 1) = -10 / 2 = -5.

To label your answer, you could write something like: "The average rate of change of the whale's movement over the interval from x=1 to x=3 seconds is -5 meters/second."

The probability that exactly 10 of the citizens favor the building of the health center is;

P(X = 10) = 0.0355

This question is a binomial probability distribution question that takes the formula;

P(X = x) = ⁿCₓ * pˣ * q⁽ⁿ ⁻ ˣ⁾

Where

p = chance of success

q = chance of failure

n = number of trials

We are given;

p = 78% = 0.78

q = 1 - 0.78 = 0.22

n = 14

Thus, probability that exactly 10 of them favor the building of the health center is;

P(X = 10) = ¹⁴C₁₀ × 0.78¹⁰ × 0.22⁽¹⁴ ⁻ ¹⁰⁾

P(X = 10) = 182× 0.78¹⁰ ×  0.22⁴

P(X = 10) = 0.0355

Therefore, the probability that exactly 10 of the citizens favor the building of the health center is;

P(X = 10) = 0.0355

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Answer:

B) What is your height measured to the nearest inch?

Explanation:

A statistical question can be answered by collecting data from various people which varies.

Here Look For the Question's which may vary person to person.

A) Assuming 6th graders must have same period and time schedule.
B) Height in school of 6th graders can vary person to person.
C) There are total 11 letters and doesn't vary. it's exactly 11 letters.
D) The audience are from the same school.

Answer:

B) What is your height measured to the nearest inch?

Step-by-step explanation:

Statistical questions are questions which can have a variety of answers, explanations & justifications.

Fpr example, asking the weather report to people from four different countries in four different continents is a statistical questions as their answers can vary.

\(\rule{150pt}{2pt}\)

Now, in the above question, the questions are asked to 205 students from the same school & same grade.

A) Since the students belong to the same grade and the same school, there will be no difference in the timings of their second period class. So, this question is non-statistical question.

B) Height among students can vary even if they're of the same age or gender. Since this question can have various answers, it's a statistical question.

C) The word given is 'STATISTICAL' & it will always have eleven letters in it. It's a non-statistical question .

D) The students in the survey all belong to the same school. So, all of the answers will be the same & it'll be a non-statistical question.  

\(\rule{150pt}{2pt}\)

So, the correct answer is → B) What is your height measured to the nearest inch?

\(\rule{150pt}{2pt}\)

The surface given by the equation \(4x^2 - 16y^2 + z^2 = 16\) is a hyperboloid of two sheets. It consists of two distinct surfaces that intersect along the z-axis and open upwards and downwards.

To identify the surface defined by the equation \(4x^2 - 16y^2 + z^2 = 16,\) we can analyze the equation and determine its geometric properties.

First, let's rewrite the equation in a standard form:

\(4x^2 - 16y^2 + z^2 = 16\)

By rearranging terms, we have:

\((x^2/4) - (y^2/1) + (z^2/16) = 1\)

Comparing this equation to the standard form of a hyperboloid, we can see that the x and z terms have positive coefficients, while the y term has a negative coefficient. This indicates that the surface is a hyperboloid of two sheets.

The trace of the surface can be obtained by setting one variable constant and examining the resulting equation. Let's consider the traces in the xz-plane (setting y = 0) and the xy-plane (setting z = 0).

When y = 0, the equation becomes:

\(4x^2 + z^2 = 16\)

This represents an ellipse in the xz-plane centered at the origin, with the major axis along the x-axis and the minor axis along the z-axis.

When z = 0, the equation becomes:

\(4x^2 - 16y^2 = 16\)

This represents a hyperbola in the xy-plane centered at the origin, with the branches opening along the x-axis and the y-axis.

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identify the surface from the following equation \(4x^2-16y^2 z^2=16\)

Answer:

9=x

Step-by-step explanation:

Answer:

In explanation

Step-by-step explanation:

Using f(x), we can work backwards to find x:

15 = 2x-3

18=2x

x=9

Squaring is the process of multiplying an integer by itself. The solution of the given equation is x=126.

A number's square root is a number that when multiplied by itself, equals the required value. Squaring is the process of multiplying an integer by itself.

The given equation is ;

\(\rm \sqrt{2x+4} = 16\)

On squaring both sides we get,

\(\rm 2x+4=256 \\\\ 2x = 256-4 \\\\ 2x= 252 \\\\ \rm x =126\)

Hence the solution of the given equation is x=126.

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True, the sample statistics may have a different value for each observation that is randomly chosen since they are a numerical explanatory measure of a sample.

Using sample data, a statistic is a quantitative descriptive measure. A parameter is a quantitative way to describe a population. Since whole populations (N) aren't always possible, we must rely on samples (n) as well as the statistics that can be calculated from them.

The mean, median, & mode, which are utilized at practically all math and statistics levels, are the most well-known forms of descriptive statistics. By summing together all the data set's figures & then dividing the total number of figures, the mean or average can be derived.

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To measure out exactly 1 gallon of water we need exactly six possible number of moves.

To measure out exactly 1 gallon of water using two jugs, one with a 3-gallon capacity and one with an 5-gallon capacity, you can follow some steps

Fill the 5-gallon jug with water completely. Pour the water from the 5-gallon jug into the 3-gallon jug, leaving 2 gallons of water in the 5-gallon jug.

Empty the 3-gallon jug completely. Pour the 2 gallons of water from the 5-gallon jug into the empty 3-gallon jug.

Fill the 5-gallon jug with water again. Pour water from the 5-gallon jug into the 3-gallon jug until it is full, which will leave exactly 1 gallon of water in the 5-gallon jug.

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Answer:

400

Step-by-step explanation:

Answer:

288 pennies

Step-by-step explanation:

Answer:

A, B, D, E

Step-by-step explanation:

Given expression:

When multiplying decimals, multiply as if there are no decimal points:

\(\implies 6 \times 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 5 digits.

Put the same number of total digits after the decimal point in the product:

\(\implies (0.06) \cdot (0.154)=0.00924\)

-----------------------------------------------------------------------------------------------

Answer option A

\(\boxed{6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}}\)

When dividing by multiples of 10 (e.g. 10, 100, 1000 etc.), move the decimal point to the left the same number of places as the number of zeros.

Therefore:

\(\implies 6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}=(0.06) \cdot (0.154)\)

Therefore, this is a valid answer option.

Answer option B

\(\boxed{6 \cdot 154 \cdot \dfrac{1}{100000}}\)

Multiply the numbers 6 and 154:

\(\implies 6 \times 154 = 924\)

Divide by 100,000 by moving the decimal point to the left 5 places (since 100,000 has 5 zeros).

\(\implies 6 \cdot 154 \cdot \dfrac{1}{100000}=0.00924\)

Therefore, this is a valid answer option.

Answer option C

\(\boxed{6 \cdot (0.1) \cdot 154 \cdot (0.01)}\)

Again, employ the technique of multiplying decimals by first multiplying the numbers 6 and 154:

\(\implies 6 \cdot 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 3 digits.

Put the same number of digits after the decimal point in the product:

\(\implies 0.924\)

Therefore, as (0.06) · (0.154) = 0.00924, this answer option does not equal the given expression.

Answer option D

\(\boxed{6 \cdot 154 \cdot (0.00001)}\)

Again, employing the technique of multiplying decimals.

As there are a total of 5 digits after the decimals:

\(\implies 6 \cdot 154 \cdot (0.00001)=0.00924\)

Therefore, this is a valid answer option.

Answer option E

\(\boxed{0.00924}\)

As we have already calculated, (0.06) · (0.154) = 0.00924.

Therefore, this is a valid answer option.

The probability that all four piles have exactly one Ace is 1 / (13 * 17 * 50 * 49), which is approximately 0.00014424.

To find the probability that all four piles have exactly one Ace, we can consider the number of ways to distribute the Aces and the total number of possible distributions.

There are 4 Aces in the deck, and each pile should receive exactly one Ace. The first Ace can be placed in any of the 52 cards, the second Ace in any of the remaining 51 cards, the third Ace in any of the remaining 50 cards, and the fourth Ace in any of the remaining 49 cards.

So, the total number of possible distributions is 52 * 51 * 50 * 49.

To calculate the probability, we need to divide the number of favorable outcomes (where all piles have exactly one Ace) by the total number of possible distributions.

Since each Ace can be distributed to any of the 4 piles, the number of favorable outcomes is 4 * 3 * 2 * 1.

Therefore, the probability is (4 * 3 * 2 * 1) / (52 * 51 * 50 * 49), which simplifies to 1 / (13 * 17 * 50 * 49).

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Answer:

14-3x4

Step-by-step explanation:

A numerical expression for the verbal expression; Fourteen decreased by 3 times 4 will be 14 - 3 x 4.

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

We need to write a numerical expression for the verbal expression.

Fourteen decreased by 3 times 4.

Nowl, decreased by 3 times 4 means 3 x 4 = 12

Fourteen decreased by 3 times 4 means

14 - 3 x 4

Therefore, A numerical expression for the verbal expression; Fourteen decreased by 3 times 4 will be 14 - 3 x 4.

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You must leave a space of 3ft behind the truck to accommodate the ramp.

To determine the amount of space you must leave behind the truck, we can use trigonometry. Given that the ramp is 6ft long and hits at an angle of elevation of 30 degrees, we can use the sine function to calculate the height of the ramp.

sin(30) = opposite/hypotenuse
sin(30) = height/6ft

Simplifying the equation, we have:
1/2 = height/6ft

Cross-multiplying, we get:
height = (1/2) * 6ft
height = 3ft

Therefore, you must leave a space of 3ft behind the truck to accommodate the ramp.

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