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What is the volume of this cone? Use 3.14 for pi and round your answer to the nearest tenth.
In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how u calculated it

Answer:

Q2: J. all real numbers.

Q4: [tex]f(3)=-20[/tex]

Q15: [tex]y=-3x+5[/tex]

Step-by-step explanation:

Q2: J. All real numbers.

Range: It can be [tex]y\geq 1[/tex].

It can't be [tex]y\geq 2[/tex].

Domain: It can't be [tex]x\geq 1[/tex] because it is going from (-∞,+∞)

Q4:

[tex]f(x)=-2x^2+x-5,f(3)=?[/tex]

Plugin x with 3 into the equation.

[tex]f(3)=-2(3)^2+(3)-5\\f(3)=-2*9+3-5\\f(3)=-18+3-5=-20\\f(3)=-20[/tex]

Q15: point-slope form.

[tex]y-(y_1)=m(x-x_0)[/tex], plugin [tex](2,-1)=(x_0,y_0)[/tex] and m=-3

[tex]y-(-1)=-3(x-(2))\\y+1=-3(x-2)\\y+1=-3x+6\\y=-3x+5[/tex]

Answer:

b

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

If he runs five times a week and his route is 2 7/10 then you do 5x2 7/10

The set of transformations that would map the red triangle to the blue triangle are translation by 2 units up and 4 units left

From the graph, we have the following highlights:

This means that the transformation is 2 units up and 4 units left

Hence, the set of transformations that would map the red triangle to the blue triangle are translation by 2 units up and 4 units left

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Answer:

Step-by-step explanation:

Answer:

where is the shape ???????

Answer:

[tex]\displaystyle a_1 = 44[/tex]

Step-by-step explanation:

Recall the direct formula for an arithmetic sequence:
[tex]\displaystyle a_n = a_1 + d(n-1)[/tex]

Where d is the common difference.

Therefore, we can write the following two equations:
[tex]\displaystyle \left \{ {a_4 = 107 = a_1 + d(4-1)\atop {a_8 = 191 = a_1 + d(8-1)}} \right.[/tex]

Solve the system. Simplifying yields:
[tex]\displaystyle 107 = a_1 + 3d\text{ and } 191 = a_1 + 7d[/tex]

Subtracting the two equations into each other yields:
[tex]\displaystyle \begin{aligned} (191) - (107) & = (a_1 + 7d) - (a_1 + 3d) \\ \\ 84 & = 4d \\ \\ d & = 21 \end{aligned}[/tex]

Using either equation, solve for the initial term:

[tex]\displaystyle \begin{aligned} 107 & = a_1 + 3(21) \\ \\ a_1 & = 107-63 \\ \\ & = 44\end{aligned}[/tex]

In conclusion, the initial term is 44.

Answer:

[tex]\huge\boxed{\bf\:a_{1} = 44}[/tex]

Step-by-step explanation:

In the given arithmetic series,

We know that,

[tex]\boxed{a_{n} = a + (n - 1)d}[/tex]

Therefore,

[tex]a_{4} = a + 3d = 107 -----(1)\\a_{8} = a + 7d = 191 -----(2)[/tex]

By solving the two equations (1) & (2)....

[tex]\:\:\:\:a + 7d = 191 \\-\underline{a + 3d = 107 }\\ \underline{\underline{\:\:\:\:\:\:\:\:\:\:\:\:\:4d = 84\:\:\:\:\:\:\:\:}}\\\\\\\\4d = 84\\d = 84 \div 4\\\boxed{d = 21}[/tex]

Now, we have the value of the common difference (d). To find [tex]a_{1}[/tex] or a, let's substitute the value of 'd' in (1).

[tex]a + 3d =107\\a + 3(21)=107\\a + 63 = 107\\a = 107 - 63\\\boxed{\bf\:a_{1} = 44}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

38 cm

Step-by-step explanation:

The perimeter of the figure is the sum of the lengths of all its sides.

We have two unknown length, so let's find their lengths first.

x= 10 -6= 4 cm

y= 9 -2= 7cm

Let's add all the lengths together to find the perimeter:

Perimeter

= 9 +10 +2 +6 +7 +4

= 38 cm

Answer:

-11

Step-by-step explanation:

Answer:

67.5 kgs.

Step-by-step explanation:

1 pound = 0.45 kg

1 1/2 pounds = 0.45 + 1/2 * 45

= 67.5 kgs.

The interval of hours represents the lifespan of the middle 68% of light bulbs, using the empirical rule is, 1210 hours to 1390 hours.

According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%[/tex]

Here, we had  where mean of distribution of X is \mu  and standard deviation from mean of distribution of X is \sigma

The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1400 hours and a standard deviation of 50 hours. Thus,

[tex]\mu=1300\\\sigma=90[/tex]

Using the empirical rule, the interval of hours represents the lifespan of the middle 68% of light bulbs is,

[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(1300- 90 < X < 1300+ 90) = 68\%\\P(1210 < X < 1390) = 68\%[/tex]

Thus, the interval of hours represents the lifespan of the middle 68% of light bulbs, using the empirical rule is, 1210 hours to 1390 hours.

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Answer:

addition, subtraction, multiplication

Step-by-step explanation:

If you add two polynomials, the result is a polynomial. If you subtract two polynomials, the result is a polynomial. If you multiply two polynomials, the result is a polynomial.

Answer:

D. An angle measuring 285 degrees

Step-by-step explanation:

An angle that is coterminal is congruent to the other angle whether negative or positive or more than 360.

An angle that is 645 degrees can be broken down into 360 + 285.

Since 360 is one revolution the angle would finish with 285 degrees.

Therefore the coterminal angle to 645 is 285.

Answer:

So this is what hello means :):):):):):):)

Step-by-step explanation:

The equation of the perpendicular line drawn by Leo is [tex]y-G=\dfrac{-1}{2}(x-F)[/tex]. Option C is the correct answer.

The equation of the line is [tex]y-y_1=m(x-x_1)[/tex] where, [tex]m[/tex] is the slope of the line and [tex](x_1,y_1)[/tex] is the point through which it is passing.

How to determine the equation of a line?

A line is drawn perpendicular to the line shown in the image. The perpendicular line passes through the coordinate point [tex](F,G)[/tex].

The slope of the line from the graph is-

[tex]m=\dfrac{y-intercept}{x-intercept}\\=2[/tex]

Therefore, the slope of the perpendicular line is [tex]\dfrac{-1}{2}[/tex].

Also, it is being given that Leo's line is passing through the coordinate point [tex](F,G)[/tex].

So, the equation of the Leo's line is-

[tex]y-G=\dfrac{-1}{2}(x-F)[/tex]

Thus, the equation of the perpendicular line drawn by Leo is [tex]y-G=\dfrac{-1}{2}(x-F)[/tex].

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The probability that the first pencil is green and the second pencil is yellow is 0.16.

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the first pencil is green and the second pencil is yellow = (number of green pencils / total number of pencils) x (number of yellow pencils / total number of pencils)

5/17 x 9/17 = 0.16

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Answer:

A. 17

Step-by-step explanation:

The "mean" is the same as an average.

To find the mean, add all the numbers.

Then divide that sum by the total numbers you added.

18+23+9+16+30+16+7=119.

119/7= 17.  (We divided by 7 because we added 7 numbers)

Hope this helps!

Answer:

79/156

Step-by-step explanation:

we know that cosx is the adjacent side over the hypotenuse.

hence, we can find the opposite side using the pythagorean theorem.

sqrt(13^2 - 5^2)

therefore, the opposite side is 12

opposite: 12

adjacent: 5

hypotenuse: 13

not that cot is adjacent over opposite while sin is opposite over hypotenuse.

So,

12/13 - 5/12

the answer is 79/156

We know that,

[tex] \rightarrow \: z = \frac{x - \mu}{\sigma} \\ [/tex]

inserting the given values in the formula

[tex]\rightarrow \: z = \frac{27.87 - 30}{1.9} \\\rightarrow \: z = - 1.121[/tex]

Area that's left to z = -1.121

Area that's left to -1.121 = 0.1311

= 13.11%

Hence ,

13.11% of the watermelons weigh less than 27.87 pounds

To find the number of watermelons,

We'll find 13.11% of 400

= 13.11% x 400

= 13.11/100 x 400

= 52.44

hence , approx 52 watermelons would be lesser than 27.87 pounds

Answer:

First one: median= 98

Second one: median= 105

Thrid one: median= 103

Step-by-step explanation:

The median is the middle number.

Answer:

5.99 days.

Step-by-step explanation:

If you are asking how many days he can rent the car then this is the correct answer.

So first multiply 275 x .06 to get how much money he will spent on the mileage. Which is $16.50. Then subtract that from $450 which is $433.50 and divided by $72.37.

Answer:

86 5/8 square feet

Step-by-step explanation:

[tex]10 \frac{1}{2} \times 8\frac{1}{4} = \frac{21}{2} \times \frac{33}{4} = \frac{693}{8} = 86 \frac{5}{8} [/tex]

Based on the curve ; The graph is:

       B. The curve is a many-to-one function.

Function--

A function is a relation in which each element is mapped to a single element i.e. no element is mapped to two different elements.

Also, the graph of a function satisfies the vertical line test i.e. any line passing through the domain and parallel to the y-axis should intersect the graph exactly once.

and one-to-one function--

A one-to-one function is such that no two elements have the same image i.e. any line passing through the co-domain and parallel to the x-axis should intersect the graph at most once.

Hence, by looking at the graph we see that the graph is not a straight line.

Hence, it is not a linear function.

           Hence, the correct answer is:

                   Option: B

your answer would be 254 I just did it and I got it right ✨

Answer:

Your Answer is D.

Step-by-step explanation:

There isn't much to explain but look at the graph.

The slope of m = rise/run.

m = 1/2

b = -3/2

y = mx + b

Since there are 37000 plants per hectare, the total corn plan required is 475,665.75 corn plants

The trapezium is a 2 -dimensional shape consisting of a triangle and a square.

The formula for calculating the area of a trapezoid is expressed as:

Area = 0.5(a + b)h
Area = 0.5(500 + 900) * 800
Area = 700 * 800
Area = 560000 square feet

Since 1 acre is equivalent to 43560 square feet, hence the total acre required is expressed as:

Required acre = 560000/43560
Required acre = 12.856 acres

Also since there are 37000 plants per hectare, the total corn plan required is 475,665.75 corn plants

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Answer:

  2 solutions

Step-by-step explanation:

In order to answer a question "based on the graph," we need to have a graph of the equation. A graph provided by a graphing calculator is attached.

The cubic intersects the x-axis at two distinct points.

There are two (2) distinct real solution to the equation. (x = -1, x = 2).