if f(x) = 6x, what is f(3)

Answer:

Please check explanations

Step-by-step explanation:

The diameter is twice the height;

if diameter is d and height is h

Then;

d = 2h

But, we know that the radius is half the diameter size. Which means that the diameter is twice the radius

Thus;

2r = 2h

Then r = h

Mathematically the total surface area of a cylinder is;

2pi r (r + h)

substitute h for r

2pi h(h + h)

= 2pi * h * 2h

= 4 pi h^2 (QED)

Explanation

Step 1

let x represents the numbers of days you can stay at the beach

then,

You estimate that it will cost $160 a day for food, entertainment and hotel, plus $230 round trip airfare.

so

but, you have only $1200, so the total needs to be smaller or equal than 1200

Step 2

solve the inequality

it means you can stay maximum 6 days

I hope this helps you

Answer:

81

Step-by-step explanation:

using the rule of exponents

• \(a^{0}\) = 1

then

\(3^{4}\) × \(3^{0}\)

= \(3^{4}\) × 1

= 3 × 3 × 3 × 3

= 9 × 9

= 81

Answer: Hello! I'm JK!.....

81

Use the power rule to combine exponents. 3^4+^0

Add 4 and 0. 3^4

Raise 3 to the power of 4.

81

Step-by-step explanation:

 I really hope this helps you! <3 XoXoGoldenMaknae

Answer:

$68

Step-by-step explanation:

So, we will start off by putting our original price as a variable, x. Now, we will need an equation to show the relationship between the current price and three-fourths of the original price. The equation will look like this:

\(\frac{3}{4} x = 51\)

Then, we will multiply both sides by 4 to get rid of the fraction, giving us:

3x = 204

Finally, we will divide by 3 to find the original price of the sneakers:

x = 68

So the pair of shoes originally cost $68.

Hope this helped!

Answer:

Option B

Step-by-step explanation:

It's given that ΔE'F'G' is the translated image of ΔEFG.

Let the ΔEFG has been translated 'h' units on x-axis and moved by 'k' units on y-axis.

Let's choose a point E having coordinates (-5, -7)

By the rule of translation, coordinates of the image point E' will be,

E(-5, -7) → E'(-5 + h, -7 + k)

Coordinates of the image point E' → (-9, 4)

Comparing both the coordinates of E',

E'(-5 + h, -7 + k) = E'(-9, 4)

-5 + h = -9

h = -9 + 5

h = -4

-7 + k = 4

k = 4 + 7

k = 11

Therefore, rule for the translation will be,

E(-5, -7) → E'(-5 - 4, -7 + 11)

(x, y) → (x - 4, y + 11)

Option B is the answer.

Answer:

\(y=2x-2\)

Step-by-step explanation:

Because the coordinates for x = 0 is (0,-2) so that's your y- intercept.

Then if you all you have to do is make sure that you have the correct slope.

So i just made a table on paper and started going up and seeing what slope i'd need to match the table on the screen.

\(2(0)-2=-2\\2(1)-2=0\\2(2)-2=2\\2(3)-2=4\)

Answer:

8.5

Step-by-step explanation:

So substitute the vales for r and d

(4*2)

and |-6| means the absolute value of -6, which is just 6

so simplifying the equation would make it

(8+6.5) - 6

14.5-6

8.5 :)

Answer:

13.5 pounds.

Step-by-step explanation:

9.18 divided by .68

= 13.5

Answer:

13.5

$0.68 times 13.5 = $9.18

Answer:

x=76°

Step-by-step explanation:

BD║XY  76°=x

The required value of x is 76°, and line BD is parallel to line XY.

Parallel lines in a plane are two or more lines that are equidistant from each other at all points. This implies that no matter how far apart they are, they will never meet or cross.

As per the given diagram, we can see that line BD is parallel to line XY.

As per we know that corresponding angles are generated in matching corners or corresponding corners with the transversal when two parallel lines and the transversal are intersected.

Thus, ∠x = 76°

Therefore, the correct answer is B.

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The mathematical term used to designate a trapezoid (or trapezium in the UK) having its two non-parallel sides of equal length is an isosceles trapezoid.

The mathematical term used to designate a trapezoid having its two non-parallel sides of equal length is called an isosceles trapezoid or isosceles trapezium in the UK.

This shape is also sometimes referred to as a regular trapezoid, but the term "isosceles trapezoid" is more commonly used.

A trapezoid is a four-sided polygon that has two parallel sides and two non-parallel sides. The parallel sides of a trapezoid are called the bases, and the non-parallel sides are called the legs. The distance between the bases is called the height of the trapezoid.

The area of a trapezoid is given by:

Area = ((base1 + base2) x height) / 2

where base1 and base2 are the lengths of the two parallel sides, and height is the distance between the parallel sides.

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The point that preserves the function is option  A(-3,-8).

What do you mean by function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

According to the given question,

We have four option for the answer.

Note: if f is a function then each number of the domain has an unique image.

Since (regarding the table) the image of 9 is 6 then the answer D is wrong

The same apply on answers B and C .

Therefore, the right answer is A(-3,-8).

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The conic section formed in this case is a hyperbola. So, option 2 is the right choice.

When a plane intersects one nappe of a double-napped cone and is neither perpendicular to the axis nor parallel to the generating line, the conic section formed is a hyperbola.

A hyperbola is characterized by its two separate branches that are symmetrically curved and open. The plane intersects the cone in such a way that the resulting curve is non-circular and has two distinct branches. The branches of the hyperbola curve away from each other and do not form a closed loop like a circle or an ellipse.

In contrast, a circle is formed when the plane intersects the cone perpendicular to the axis, an ellipse is formed when the plane intersects the cone at an angle and is parallel to the generating line, and a parabola is formed when the plane intersects the cone parallel to the axis.

Therefore, the conic section formed in this scenario is a hyperbola.

The right answer is 2. hyperbola

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Tertiary consumers are one level above primary producers in a food chain. In a food chain, the transfer of energy and nutrients occurs from one trophic level to another.

The trophic levels are categorized into producers, primary consumers, secondary consumers, and tertiary consumers.

Primary producers, such as plants or algae, are the first trophic level in a food chain. They convert energy from sunlight into organic matter through photosynthesis. Primary consumers, also known as herbivores, are the organisms that feed directly on primary producers.

Secondary consumers are the next trophic level and they feed on primary consumers. They are usually carnivores or omnivores that consume herbivores.

Finally, tertiary consumers occupy the highest trophic level in a food chain. They are the top predators that feed on secondary consumers. These can include large carnivores or even apex predators.

Therefore, tertiary consumers are one level above primary producers in the food chain. They represent the organisms that obtain energy by consuming other organisms higher up in the trophic hierarchy.

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Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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Answer:

Right cylinder

Step-by-step explanation:

Right cylinder

Answer:

144 Inches cubed

Step-by-step explanation:

8 × 6 × 6 = 288.

288 / 2 = 144.

you multiply to get the original volume then divide by 2 because the tank is only half full.

Answer:

d

Step-by-step explanation:

i said

Answer:

The minimum y-value of f(x) is -3.

Step-by-step explanation:

To find the minimum y-value of f(x), we can plug in a value of x that will make the y-value as small as possible. In this case, we can plug in x = 0 to get f(0) = 3² - 3 = 0. Since 0 is the smallest possible value for f(x), the minimum y-value of f(x) is 0.

Similarly, we can find the minimum y-value of g(x) by plugging in a value of x that will make the y-value as small as possible. In this case, we can again plug in x = 0 to get g(0) = 7 * 0² - 3 = -3. Since -3 is the smallest possible value for g(x), the minimum y-value of g(x) is -3.

Therefore, the correct answer is option A: "The minimum y-value of f(x) is -3."

Answer:

Step-by-step explanation:

A. The minimum y-value of f(x) is -3.

D. The minimum y-value of g(x) is -3.

Answer:

Yea I can help you

was there supposed to be a picture included.

Step-by-step explanation:

The surface area of the larger cone is about 41.09 square inches.

To determine the surface area of the larger cone, we can set up a proportion based on the scale factor between the two cones. Let's call the scale factor "k".

From the given information, we know that the surface area of the smaller cone is 11.74 square inches and the surface area of the larger cone is unknown (let's call it "x" square inches).

Using the scale factor, we can write the proportion:

(11.74 / x) = (3.5 / 3.5)

Simplifying the proportion, we have:

11.74 = (x / 3.5)

To find the value of "x", we can cross-multiply:

x = 11.74 * 3.5

x ≈ 41.09

The surface area of the larger cone is approximately 41.09 square inches, rounded to the closest hundredth.

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Answer:

12.566

12.6 (simplified to the tenths)

12.57(simplified to the hundredths)

Step-by-step explanation:

The diameter of a circle is always double of the radius

π is always ≈ 3.14

π * 2^2 = π * 4  ≈ 12.566

Answer:

The camera had to cover the greatest angle is CAMERA 3 because it had the largest angle of 71.47°

Step-by-step explanation:

From the above question,

We have:

Camera 1 = Angle A

Camera 2= Angle B

Camera 3 = Angle C

A = 210ft

B = 234ft

C = 260ft

We need to find Angle A( angle of camera 1) using the cosine rule

A=(B² + C² - 2BCCosA)

210² = 234² + 260² - 2 × 234 × 260 × CosA

210² = 122356 - 121680CosA

Square both sides

210² = 122356 - 121680CosA

44100 = 122356 - 121680CosA

121680CosA = 122356 - 44100

121680CosA = 78256

Cos A = 78256/121680

Cos A = 0.6431295201

A = arc cos (0.6431295201)

A = 49.974422249°

Angle A approximately = 49.97°

Using the Sine rule to find the Angle B

A/Sine A = B/Sine B

210ft/Sine 49.97° = 234ft/Sine B

210ft × Sine B = 49.97° × 234ft

Sine B =( Sine 49.97° × 234ft)/210ft

B = arc sin (0.8532172354)

Angle B = 58.56334

Approximately = 58.56°

Angle C = 180 - (49.97 + 58.56)°

Angle C = 71.47°

Therefore, the camera had to cover the greatest angle is Camera 3 because it had the largest angle of 71.47°

Answer:

Camera. 3

Step-by-step explanation:

The width point highway is \(2x^{3} + 5x^{2} +118\)

To determine the width of the highway between the two buildings, we need to subtract the distances of the buildings from the highway from the total distance between the buildings.

Let's denote the distance between the buildings as "d," the distance of the first building from the highway as "a," and the distance of the second building from the highway as "b."

To find the width of the highway, we subtract the distances of the buildings from the total distance:

Width of the highway = (3x^3 - x^2 + 7x + 100) - (2x^2 + 7x) - (x^3 + 2x^2 - 18)

Simplifying the expression, we combine like terms:

Width of the highway = \(3x^3 - x^2 + 7x + 100 - 2x^2 - 7x - x^3 - 2x^2 + 18\)

Combining like terms further:

Width of the highway = (3x^3 - x^3) + (-x^2 - 2x^2 - 2x^2) + (7x - 7x) + (100 + 18)

Simplifying again:

Width of the highway = 2x^3 - 5x^2 + 100 + 18

Combining the constant terms:

Width of the highway = 2x^3 - 5x^2 + 118

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The following question may be like this:

Two buildings on opposites sides of a highway are 3x^3- x^2 + 7x +100 feet apart. One building is 2x^2 + 7x feet from the highway. The other building is x^3 + 2x^2 - 18 feet from the highway. What is the standard form of the polynomial representing the width of the highway between the two building

The expression for Total discount for 20 group tickets is 5 m, Amount of discount per ticket is 0.25 m, Number of tickets is 20 and Cost of buying 20 single ticket is 20 m.

We have:

a discount of 25% per ticket if a group buys 20 or more tickets.

The expression 20 m - 20 (0.25 m) describes the total cost of buying 20 tickets for a group.

Total discount for 20 group tickets will be:

Total discount = 20 × 0.25 m = 5 m

Amount of discount per ticket = 5 m / 20 = 0.25 m

Number of tickets = 20

Cost of buying 20 single ticket = 20 m

where m = cost of buying 1 ticket.

Therefore, the expression for Total discount for 20 group tickets is 5 m, Amount of discount per ticket is 0.25 m, Number of tickets is 20 and Cost of buying 20 single ticket is 20 m.

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The bicycle travels a distance of 13.188 meters (to three decimal places).

What is the distance?

The distance traveled by the bicycle is equal to the distance traveled by one revolution of the front wheel multiplied by the number of revolutions.

The distance traveled by one revolution of the front wheel is equal to the circumference of the wheel, which is given by:

C = πd

where d is the diameter of the wheel. Therefore, the circumference of the front wheel is:

C = π × 35cm

C = 3.14 × 35cm

C = 109.9cm

Now we can calculate the distance traveled by the bicycle:

Distance = Number of revolutions × Distance traveled in one revolution

Distance = 12 × 109.9cm

Distance = 1318.8cm

Finally, we need to convert this distance to meters:

Distance = 1318.8cm ÷ 100

Distance = 13.188m

Therefore, the bicycle travels a distance of 13.188 meters (to three decimal places).

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Answer:

$50.40

Step-by-step explanation:

To find how much Lana will pay in total follow these steps.

First, multiply 40 by 1.05.

40×1.05=42.

This is how much she will pay for the food plus tax.

Now, multiply 42 by 1.2.

42×1.2=50.40

This is how much she will pay for the food, tax, and tip.

Lana will pay a total of $50.40.

Hope this helps!

Answer:

61 minutes and 36 seconds

Step-by-step explanation:

150 mph is equal to 2.5 miles per minutes divide miles by 2.5

(a) Example question: "How often do you look at social media while doing schoolwork?

(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.

(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.

(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.

(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."

(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.

(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.

To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.

Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.

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