Given f(x) = 9x - 12. what is the value of f(5)?​

Answer:

You need to show a map and put the entire directions.

Step-by-step explanation:

Answer:

732×pi cm³

Step-by-step explanation:

we have all the data and the formula.

so, we only need to do the raw calculations.

Vc = pi×r²×h/3

r = the radius of the basic circle

h = the height.

since the volume of the frustum is the volume of the large cone minus the volume of the small cone, we need to calculate both volumes and then subtract the smaller from the larger number.

oh, and we need to calculate also the radius of the base circle of the small cone. since they are similar bodies, all lines use the same ratio or scaling factor to convert from one cone to the other.

that includes height and radius.

we know the height of the large cone is 16+4=20 cm.

and set know that the height of the small cone is 16 cm.

so, the scaling factor is 16/20 = 4/5 to go from the large to the small cone.

that means that the radius of the small cone is

15 × 4/5 / 3×4 = 12 cm

so, now to the 2 cone volumes :

the large cone

Vcl = pi×15²×20/3 = pi×225×20/3 = pi×75×20 =

= pi×1500 cm³

the small cone

Vcs = pi×12²×16/3 = pi×144×16/3 = pi×48×16 =

= pi×768 cm³

the volume of the frustum is therefore

Vf = Vcl - Vcs = 1500×pi - 768×pi = 732×pi cm³

Hope it Helps

Mark me as brainliest please

The distance between the base of the string and the base of the mast of the sailboat is 6.24.

Here we have to find the distance from the base of the mast that should be attached to the end of the light string.

Data given:

length of the string = 20 foot

length of the mast of the sailboat = 19 foot

Distance between the base of the mast and the light string = \(\sqrt{20^{2} - 19^{2} }\)

                                                                                             = \(\sqrt{400 - 361}\)

                                                                                             = √39

                                                                                             = 6.245

Therefore the distance between the string and the mast is 6.24.

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Answer:

Doubt that he is.

Step-by-step explanation:

6 days x $20 = $120

8 days x $15 = $120

So, he'd pay the same amount for 8 days as he would for 6 days. I think it's better to stay for 8 days if he were to spend $120 anyway.

Here, we want to evaluate the given expression. Multiply the numbers in the denominator to get a single number. Then proceed to divide the numerator by the single number

We proceed as follows;

The average velocity of  Fabiana's is 19 km/h.

Average velocity is defined as the change in position or displacement (∆x) divided by the time intervals (∆t) in which the displacement occurs.

function of Fabiana's position is given as;

x(t) = 19t + 17, at t = 2 sec and 3 sec

x(2) = 19(2) + 17 = 55 km

x(3) = 19(3) + 17 = 74 km

average velocity = Δx/Δt = (x₂ - x₁)/(t₂ - t₁)

average velocity = (74 km - 55 km)/(3 hr - 2 hr) = 19 km/h

Thus, the average velocity of  Fabiana's is 19 km/h.

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First you will get 4dz

Answer:

.5

Step-by-step explanation:

The probability that a normal random variable is less than its mean is .5

Answer:

Cam has b-7 dollars

Step-by-step explanation:

The mean of the batting averages is 0.341125.

Mean is used to summarize a set of data, frequently to help determine the overall significance of the data set.

To find the mean of the batting averages, we need to sum up all the batting averages and divide by the total number of players.

Batting averages: .373, .360, .321, .321, .320, .312, .311, .311

Sum of batting averages = .373 + .360 + .321 + .321 + .320 + .312 + .311 + .311

Sum of batting averages = 2.729

Now, we divide the sum by the total number of players, which is 8:

Mean = Sum of batting averages / Total number of players

Mean = 2.729 / 8

Calculating the mean:

Mean ≈ 0.341125

The mean of the batting averages is approximately 0.341125.

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No. of plates both washes = 6

Let x be the no. of plates Diana washes.

Then the no. of plates washes is

The no. of plates Kaede washes is 18

Answer:

The least degree of the polynomial that assures an error smaller than 0.001 is 4.

The Lagrange error bound for the Taylor polynomial of degree n centered at x=2 for e^x is given by:

```

|e^x - T_n(x)| < \frac{e^2}{(n+1)!}|x-2|^{n+1}

```

where T_n(x) is the Taylor polynomial of degree n centered at x=2.

We want the error to be less than 0.001, so we have:

```

\frac{e^2}{(n+1)!}|x-2|^{n+1} < 0.001

```

We can solve for n to get:

```

n+1 > \frac{e^2 \cdot 1000}{|x-2|}

```

We know that |x-2| = 0.45, so we have:

```

n+1 > \frac{e^2 \cdot 1000}{0.45} \approx 6900

```

Therefore, n > 6899.

The least integer greater than 6899 is 6900, so the least degree of the polynomial that assures an error smaller than 0.001 is 4.

The fourth-degree Taylor polynomial centered at x=2 for e^x is given by:

```

T_4(x) = 1 + 2x + \frac{x^2}{2} + \frac{x^3}{6} + \frac{x^4}{24}

```

We can use this polynomial to estimate e^1.45 as follows:

```

e^1.45 \approx T_4(1.45) = 4.38201

```

The actual value of e^1.45 is 4.38202, so the error in this approximation is less than 0.001.

Step-by-step explanation:

Complete Question

Find the circumference of the pizza to the nearest hundredth.

When Diameter = 18 in.

Answer:

56.55 inches

Step-by-step explanation:

A pizza is circular in shape.

The formula for the circumference of a circle is given as:

πD

Where D = Diameter

From the above question,

Diameter = 18 inches

Hence,

Circumference of the circular pizza = π × 18 inches

= 56.548667765 inches

Approximately = 56.55 inches

The length of the arc is 11.39 kilometers. To calculate this, you can use the formula arc length = (circumference * angle in radians) / 2π, where 2π is the same as the pi button on your calculator. In this case, the circumference is 18.2 kilometers and the angle in radians is 0.6. Plugging these values into the formula gives us 11.39 kilometers.

The arc length is 1.7cm

To determine the arc length, we have that the formula is expressed as;

Arc length = (circumference * angle in radians) / 2π,

Such that the parameters are expressed as;

Substitute the values, we get;

Arc length = 18.2 ×0.6/2(3.14)

expand the bracket, we have;

Arc length = 10.92/6.28

Arc length = 1. 73 cm

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The dimensions of his model of the train station would be

3 inches by 6 inches by 4 inches.

Scale factor is a dimensionless constant value that is used to compare the size of two objects. It is denoted by [K]. Mathematically -

K = O[1]/O[2]

Given is Lewis who is building a train layout and wants to build a model of the train station in his city. He wants it to be exactly to scale to match his engine. The engine measures 8 inches long and is the model of a train that is 80 feet long. The station in his city is 30 feet by 60 feet by 40 feet.

Now, it is given here that Lewis assumed a dilation model in which 80 feet is 8 inches long. Then -

80 feet = 8 inches

So one feet will be -

1 ft = 8/80 = 1/10 inches

Now, the dimensions of station in Lewis native city is 30 feet by 60 feet by 40 feet.

Now, dilating the dimensions with a scale factor of 1/10 inches, we get -

30 feet = 30 x 1 feet = 30 x 1/10 = 3 inches

60 feet = 60 x 1 feet = 60 x 1/10 = 6 inches

40 feet = 40 x 1 feet = 40 x 1/10 = 4 inches

Therefore, the dimensions of his model of the train station would be

3 inches by 6 inches by 4 inches.

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Answer:

n= -7

Step-by-step explanation:

n+16=9

_-16 -16__

n= -7

Answer:

-7 answer

Step-by-step explanation:

n+16=9 subtract 16 from both sides n +16-16=9-16 can u please give me braniest i an w away from moving up

F(3) is equal to 9, based on the given table and the corresponding values of x and f(x). Option D.

To find the value of F(3) based on the given table, we look at the corresponding x-value of 3 and find its corresponding f(x) value.

From the table, we see that when x = 3, f(x) = 9. Therefore, F(3) = 9.

The table shows the values of x and their corresponding f(x) values. We can see that when x increases by 1, f(x) also increases by 3. This indicates that the function has a constant rate of change, where the change in f(x) is always 3 units for every 1 unit change in x.

Given that F(3) represents the value of the function when x = 3, we look at the x-values in the table and find the corresponding f(x) value. In this case, when x = 3, f(x) = 9.

Therefore, the value of F(3) is 9. Option D is correct.

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The measure of angle ZCBD is 90°. Therefore, the correct option is J. 90.

To find the measure of angle ZCBD, we need to examine the given information.

From the figure, we know that angle CDE is 155°.

Since the opposite angles of a rectangle are congruent, angle BCD is also 155°.

In a rectangle, the sum of the interior angles at a vertex is always 90°.

Therefore, angle CBD is 90°.

Hence, the measure of angle ZCBD is 90°.

Therefore, the correct option is J. 90.

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Answer:

A. -80x + 24

Step-by-step explanation:

- 8( 10x - 3 )

- 8( 10x )

= - 80x

- 8 ( - 3 )

= 24

- 80x + 24

Remember, when you multiply a negative number with another negative number it will become positive

Hope this helps dude

The vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

Given an equation showing profits of A Christmas vendor as

P=-0.1\(g^{2}\)+30g-1200.

We have to find the number of gingerbread houses that the vendor needs to sell in order to earn profit of $665.60 and $1500.

To find the number of gingerbread houses we have to put P=665.60 in the equation given which shows the profit earned by vendor.

665.60=-0.1\(g^{2}\)+30g-1200

0.1\(g^{2}\)-30g+1200+665.60=0

0.1\(g^{2}\)-30g+1865.60=0

Divide the above equation by 0.1.

\(g^{2}\)-300g+18656=0

Solving for g we get,

g=[300±\(\sqrt{(300)^{2}-4*1*18656 }\)]/2*1

g=[300±\(\sqrt{90000-74624}]/2\)

g=[300±\(\sqrt{15376}\)]/2

g=(300±124)/2

g=(300+124)/2       , g=(300-124)/2

g=424/2,  g=176/2

g=212,88

Because 212 is much greater than 88 so vendor prefers to choose selling of 88 gingerbread houses.

Put the value of P=1500 in equation P=-0.1\(g^{2}\)+30g-1200.

-0.1\(g^{2}\)+30g-1200=1500

0.1\(g^{2}\)-30g+1500+1200=0

0.1\(g^{2}\)-30g+2700=0

Dividing equation by 0.1.

\(g^{2}\)-300g+27000=0

Solving the equation for finding value of g.

g=[300±\(\sqrt{300^{2} -4*1*27000}\)]/2*1

=[300±\(\sqrt{90000-108000}] /2\)

=[300±\(\sqrt{-18000}\)]/2

Because \(\sqrt{-18000}\) comes out with an imaginary number so it cannot be solved for the number of gingerbread houses.

Hence the vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

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Answer:

Step-by-step explanation:

x=20(.75)+2+10 (or 12 if it says that)

Answer:

The linear equation that represent the situation is \(x=20-0.75(10+2)\)

The remaining balance on his gift card is $11

Step-by-step explanation:

Let x represent the remaining balance.

We know that the linear equation that represent the situation is equal to\(x=20-0.75(10+2)\)

Solve

\(x=20-0.75(12)\)

\(x=20-9\)

x=$11

Answer:

I think the answer is 169 because of the exponent

Answer: 2 is the maximum number of gigabytes

Step-by-step explanation:

Answer:

875

Step-by-step explanation:

40% of Damien’s marbles are 6/5 or 1.2.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Damien has three marbles.

40% of Damien’s marbles are blue.

That means,

40% of 3 blue marbles.

So, using the percentage formula,

40% of 3,

= 40 x 3/100

= 120/100

= 12/10

= 6/5

= 1.2

Therefore, 1.2 marbles are blue.

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Answer:

Y=3x

Slope: 3

Y int. (0,0)

Y=-2/3x-3

Slope: -2/3

Y int (0,-3)

Step-by-step explanation:

The statements that are true concerning two similar figures include:

The ratio of the corresponding angles equals 1.

The ratio of corresponding side lengths are equal. That is option A and C.

Ratio is defined as the number of time a proportion is doing in another proportion.

The similarity that exists between figures or shapes such as a triangle is being proven using Congruence & Similarity. That is,

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