Find the surface area of the cone in terms of pi. 15cm 3cm

Answer:

[tex]\frac{3}{13}[/tex]

Step-by-step explanation:

First you need to find how many marbles there are in total, so 3+8+2= 13

The probability of the marble being red is [tex]\frac{3}{13}[/tex] then

Hope this helps! :)

Answer:

1.  total volume of box=2.5(V)D

2. 7 Drawers

Step-by-step explanation:

2.5 = V

so 1 draw = 2.5 cubic inches of volume

so V(2.5) × D(number of drawers) = total volume of drawers in the box

Answer:

it will take 16 years to reach a population of 1800 and in 23 years the population will be 400.

Step-by-step explanation:

population: 5000

population decreasing: 200x

y=5000-200x

(1800-5000)/-200

(400-5000)/-200

Answer:

2s + 30 = 2s

Step-by-step explanation:

Time up hill + time down hill = total time

:

Multiply equation by 30s; results

2s + 30 = 2s

:

The true statements for the parabola in the image are:

Mathematically, the standard equation of the directrix lines for a parabola is given by y = a(x - h)² + 2.

Given the following data:

Vertex (h, k) = (4, 3).

Point (x, y) = (8, 6).

Next, we would determine the distance where point (8, 6) lies on the parabola:

y = a(x - h)² + 2

6 = a(8 - 4)² + 2

6 = a(4)² + 2

6 = 16a + 2

16a = 6 - 2

16a = 4

a = 4/16

a = 1/4.

Therefore, the equation becomes:

y = 1/4(x - 4)² + 2

When x = 2, we have:

y = 1/4(2 - 4)² + 2

y = 1/4(-2)² + 2

y = 1/4(4) + 2

y = 1 + 2

y = 3.

In conlusion, the true statements regarding the parabola in the image are:

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area is 36...............

Answer:

-372

Step-by-step explanation:

-305 -7 + (-42) -18

-312 + (-42) -18

-312 - 42 - 18

-354 - 18

-372

Answer:

Yes

Step-by-step explanation:

You can test if a triangle is right-angled by using Pythagoras' Theorem.

So:

[tex]4^2 + 7.5^2 = 8.5^2[/tex]

16 + 56.25 = 72.25

They do in fact add up so this triangle is right angled.

Answer:

[tex]2248\frac{1}{4}[/tex]

Step-by-step explanation:

given: [tex]3\frac{1}{8} * 90[/tex]

now, we turn both into improper fractions:

25/8 * 90/1 :: [tex]\frac{25}{8} * \frac{90}{1}[/tex]

now we multiply across

[tex]\frac{25}{8} * \frac{90}{1} = \frac{2250}{8}[/tex]

now turn into a mixed number:

[tex]\frac{2250}{8} = 2248\frac{2}{8}[/tex]

simplify! :

[tex]2248\frac{1}{4}[/tex]

Answer:

Heres the answer

Step-by-step explanation:

To calculate the ratio of an amount we divide the amount by total number of parts in the ratio then multiply the answer by original ratio.

Answer:

Tr2

Step-by-step explanation:

pie * radius * radius

Answer:

Step-by-step explanation:

The circumference of a circle is given to be 2πr, and its radius to be r.

Answer:

Step-by-step explanation:

x²-2x-48 = (x²-2x +1) - 1 - 48

              = (x - 1)² - 49

Then

The vertex is (1 , - 49)

==================

x²-2x-48 = 0

⇔ (x - 1)² - 49 = 0

⇔ (x - 1)² = 49

⇔ x - 1 = 7 or x - 1 = -7

⇔ x = 8 or x = -6

Then

intercepts: x = 8,-6

Answer:

Step-by-step explanation:

Answer:

$4.56

Step-by-step explanation:

22.80/5 = 4.56

Answer:

k = -3

Step-by-step explanation:

Given

Solving

Answer:

Step-by-step explanation:

going by the assumption tha the radius is 10inches.

area would be pi r^2

which would be pi(10)^2 = 100pi =314.16 (rounded)

Answer:

Area = x4 + 4x3 + 3x2 - 4x - 4

Length = x3 +5x2 + 8x + 4

Width = Area / Length.

Performing long division with polynomial.

x4 + 4x3 + 3x2 - 4x - 4 / x3 + 5x2 + 8x + 4 = x-1

Width = x-1

Step-by-step explanation:

The value of the width of the rectangle is,

⇒ (x - 1)

We have to given that;

In a rectangle;

Area = x⁴ + 4x³ + 3x² - 4x - 4

Length = x³ +5x² + 8x + 4

We know that;

Width = Area / Length.

Hence, Performing long division with polynomial.

Width = x⁴ + 4x³ + 3x² - 4x - 4 / x³ +5x² + 8x + 4

         = x - 1

Thus, The value of the width of the rectangle is,

⇒ (x - 1)

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Answer:

perimeter = 22 + 3π

area = 48 + (9/2)π

Step-by-step explanation:

perimeter = 8 + 6 + 8 + (1/2)(6π) = 22 + 3π

area = 8(6) + (1/2)(3^2)π = 48 + (9/2)π

Answer:

17hrs (a little more)

Step-by-step explanation:

The tank is 1500 gallon capacity, it already contains 200 gallons.

1500-200=1300

Now, you have to figure how many hrs it will take at 75 gallons / hr to reach the additional 1300 gallons.

1300÷75= 17.33

It says full, but not overflowing. So I would say around 17hrs

Answer:

x=3/2

Decimal Form:

x=1.5

Mixed Number Form:

x=1-1/2

Step-by-step explanation:

As with simple linear regression, we desire the residuals to:

It should be noted that a simple linear regression simply means a model that describes the relationship between a dependent variable and an independent variable.

In this case, as with simple linear regression, we desire the residuals to have constant variance and have a mean close to 0.

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Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

let us first start with some basic information ~

A fraction can be represented as [tex]\frac{x}{y}\\[/tex] where ,

x is the numerator and y is the denominator !

the question asks us to do something that will help us get same denominator for both the terms !

so let's see what we should do in such a case ~

[tex] \frac{9}{10} \: and \: \frac{7}{8} \\ \\ \\ lets \: make \: the \: denominator \: of \: both \\ the \: terms \: reach \: 80 \: , \\ \\ \bold\orange{ \implies \: \frac{9}{10} \times \frac{8}{8} = }\bold\red{ \frac{72}{80}} \\ \\\bold\orange{ \implies \: \frac{7}{8} \times \frac{10}{10} =}\bold\red{ \frac{70}{80}} [/tex]

and we're done !

let's add some more info to be lil more clear ~

while converting the denominator of both the terms , we must multiply the same number ( this number refers to the one we'll have to multiply to the denominator to obtain the desired result ) with the denominator as well as with the numerator !

hope helpful :D

Answer:

Step-by-step explanation:

you have to multiply first fraction with '8' and second fraction with '10' :

the fractions will become 72/80 and 70/80 then you can compare it

Answer:

1. [tex]y = 4 * 2^x^+^1[/tex]

4. [tex]y = 2^x^+^3[/tex]

Step-by-step explanation:

First one:

[tex]y = 4 * 2^x^+^1\\y = 4 * 2^x * 2^1\\y = 8 * 2^x[/tex]

Fourth one:

[tex]y = 2^x^+^3\\y = 2^x + 2^3\\y = 8 * 2^x[/tex]

Answer:

Step 3

Step-by-step explanation:

-4(3)(-1)

Will be equal to a positive 12

Answer:

158962.5

Step-by-step explanation:

it is already round to the tenth ,but if you are talking about rounding to the neartest whole number is it 158963

sorry if i am wrong :) have a nice day