~~~~~~~~~~~`````````````````

Answer:

75

Step-by-step explanation:

(71+89+100+x)/3=83.75

(83.75*4)

335-100-89-71=75

Answer

25/1 and 43/125

Step-by-step explanation:

The value of x is approximately 49.4 units.

What is volume ?

Volume is a measure of the amount of space occupied by a three-dimensional object. It is typically expressed in cubic units such as cubic meters, cubic centimeters, or cubic feet. Volume is a fundamental concept in mathematics and physics, and it is an important property for describing the size, capacity, or amount of material contained within an object.

Let's start by defining some variables:

r: radius of the cone

h: height of the cone

V: volume of the cone

A right cone has a circular base, and its volume can be calculated as follows:

V = (1/3) * π * r² * h

If the diameter of the base is 12 units, then the radius is half of that:

r = 6 units

We also know that the volume is 2767 units³, so we can write:

2767 = (1/3) * π * 6² * h

Simplifying:

h = (2767 * 3) / (π * 6²)

h ≈ 49.15 units

Now, we need to find the value of x. We can use the Pythagorean theorem to relate x, r, and h:

x² = r² + h²

Substituting the values we have:

x² = 6² + 49.15²

x ≈ 49.4 units

Therefore, the value of x is approximately 49.4 units.

In summary, we used the formula for the volume of a cone to relate the radius and height of the cone to its volume. Then, we used the Pythagorean theorem to relate the unknown value of x to the known values of r and h. Finally, we substituted the known values to find the approximate value of x.

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Your complete question is :-The volume of the right cone below is 2767 units³. Find the value of x if it's diameter is 12

Answer:

X (15, −8) → X ′(9, −3) → X ″(9, 3);

Y (13, 21) → Y ′(7, 26) → Y ″(7, −26);

Z (−17, 17) → Z ′(−23, 22) → Z ″(−23, −22)

Step-by-step explanation:

Use the translation vector <−6, 5>  to determine the rule for translation of the coordinates: (x, y)→ (x+(−6),y + 5).

Apply the rule to translate vertices X(15 ,−8), Y(13, 21) , and Z(−17, 17) .

X (15,−8) → (15 + (−6),−8 + 5) → X'(9, −3).

Y (13, 21) → (13+ (−6), 21 + 5) → Y' (7, 26).

Z (−17, 17) → (−17 + (−6), 17 + 5) → Z' (−23, 22).

To apply the reflection across x-axis use the rule for reflection: (x, y) → (x, −y).

Apply the reflection rule to the vertices of △X'Y'Z'.

X' (9, −3) → X'' (9, 3).

Y' (7, 26)→Y''(7, −26).

Z' (−23, 22) → Z'' (−23, −22).

Therefore,

X (15 ,−8) → X' (9, −3) → X'' (9, 3)

Y (13, 21) → Y' (7, 26) → Y'' (7, −26)

Z (−17, 17) → Z' (−23, 22) → Z'' (−23, −22)

represents the translation of △XYZ along vector <−6, 5>  and its reflection across the x-axis.

Answer:

Step-by-step explanation:

We can start by setting up an equation to solve for x, the number of years it will take for the car to be worth $8,200:

8200 = 20000(0.8)^x

Dividing both sides by 20,000, we get:

0.41 = 0.8^x

Taking the logarithm of both sides (using any base, as long as we're consistent), we get:

log(0.41) = log(0.8^x)

Using the property of logarithms that allows us to bring down the exponent as a coefficient, we get:

log(0.41) = x log(0.8)

Dividing both sides by log(0.8), we get:

x = log(0.41) / log(0.8)

Using a calculator, we find:

x ≈ 5.92

Therefore, it will take about 5.92 years for the car to be worth $8,200.

Answer:

When the ball is dropped on the ground, the potential energy convert into kinetic energy. It had potential energy when it was held in the air waiting to be dropped, and It had kinetic energy when it was dropped because kinetic energy is when it's moving. when you drop it, your moving it.

Step-by-step explanation:

your welcome *bows*

Answer:

200

Step-by-step explanation:

The sum is 182.5, which is 200 to 1 significant figure.

No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

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To graph the inequality k > 5 on a number line, mark an open circle at 5 and shade the region to the right.

To graph the solutions to the inequality k > 5 on a number line, follow these steps:

Draw a horizontal line and mark a point for the number 5 on the line.

-------------------|---|---|---|---|---|---|---|---|---|---|

0 1 2 3 4 5 6 7 8 9 10

Since the inequality is k > 5, the solution includes all values greater than 5. Therefore, draw an open circle (○) at the number 5 to represent that 5 itself is not included in the solution.

-------------------|---|---|---|---○---|---|---|---|---|---|

0 1 2 3 4 5 6 7 8 9 10

Shade the region to the right of the open circle. This shading represents all values that are greater than 5 and satisfy the inequality k > 5.

-------------------|---|---|---|---○===================>

0 1 2 3 4 5 6 7 8 9 10

The resulting number line graph illustrates that any value to the right of the open circle (excluding 5 itself) satisfies the inequality k > 5.

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Answer:

1/2 ( 10x + 8 )

Step-by-step explanation:

first make sure everything in the parenthesis is addition. by doing this you make the 6 and 8x negatives. so it's 1/2 ( 13x + 5x + -6 + -8 + 14 ) then combine the numbers with the variable x so 13x + 5x + -8x = 10x . then the ones without variables -6 + 14 = 8. so 1/2 ( 10x + 8)

Answer:

62 mm

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

If you meant to say 3^5 or \(3^5\), then,

\(3^5 = 3*3*3*3*3 = 243\) (there are five copies of '3' multiplied)

So the answer would be choice D) 243.

Hey there!

\(Answer:\boxed{243}\)

\(Explanation:\)

\(3^5\)

\(3*3*3*3*3=243\)

\(\boxed{243}\text{ is our final answer.}\)

Hope this helps!

\(\text{-TestedHyperr}\)

Answer: Choice B

\((f * g)(x) = \frac{x^2+6x+8}{x^2+2x-15}, \ \text{ for } x \ne -5 \text{ and } x \ne 3\\\\\)

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

Work Shown:

\(h(x) = (f * g)(x)\\\\h(x) = f(x) * g(x)\\\\h(x) = \frac{x^2-16}{x^2+3x-10}*\frac{x^2-4}{x^2-7x+12}\\\\h(x) = \frac{(x-4)(x+4)}{(x+5)(x-2)}*\frac{(x-2)(x+2)}{(x-3)(x-4)}\\\\h(x) = \frac{x+4}{(x+5)(x-2)}*\frac{(x-2)(x+2)}{x-3} \ \ \text{ ... see note 1}\\\\h(x) = \frac{x+4}{x+5}*\frac{x+2}{x-3} \ \ \text{ ... see note 2}\\\\h(x) = \frac{(x+4)(x+2)}{(x+5)(x-3)}\\\\h(x) = \frac{x^2+6x+8}{x^2+2x-15}\\\\\)

note 1: A pair of (x-4) terms canceled

note 2: A pair of (x-2) terms canceled

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

Extra info (optional section):

The fact that \(x \ne -5 \text{ and } x \ne 3\) is to avoid a division by zero error in the simplified version of h(x).

I would argue that \(x \ne 2 \text{ and } x \ne 4\) should be thrown in as well simply so that the domains match up perfectly with the original f(x) and g(x) functions.  

So I think the full domain should be that x is any real number but

\(x \ne -5 \text{ and } x \ne 2\\x \ne 3 \text{ and } x \ne 4\)

Put another way: if x = 2 is allowed in h(x), then that clashes with the fact that it's not allowed in f(x). The same idea happens with x = 4 but with g(x) this time. It's possible your teacher glossed this fact over, or ran out of room.

The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.

Here, we have,

the conditions for mapping the strip transformation pattern onto itself:

The strip pattern can be mapped onto itself in two different ways.

The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.

The second way is to reflect the strip pattern across a vertical line.

Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.

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complete question:

Which transformations map the strip pattern onto itself?

a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°

a horizontal translation only

a horizontal translation, a reflection across a horizontal line, and a glide reflection only

a horizontal translation and a 180° rotation only

Answer:

x = 3

Step-by-step explanation:

Let's solve your equation step-by-step.

7x−3=18

Step 1: Add 3 to both sides.

7x−3+3=18+3

7x=21

Step 2: Divide both sides by 7.

7x/7 = 21/7

x=3

Answer:

The answer are

B and C

Step-by-step explanation:

r=d/2=12/2=6

r=16/2=8

Circumference=2pir

C=2×6pi

C=12pi

C=2pir

C=2×8pi

C=16pi

a.) The independent variable is the different types of music

b.) The dependent variable is the impact of listening felt by the rats

c.)An extraneous variable is the length of the maze.

d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.

A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.

For question a.)

The independent variable is the different types of music

For question b.)

The dependent variable is the impact of listening felt by the rats

For question c.)

An extraneous variable is the length of the maze.

For question d.)

The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

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Step-by-step explanation:

by PT,

36^2 = length^2 x length^2

length = 6 feet

Topic: Pythagoras theorem

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To arrange this from the greatest to the least

we will first look out for the positive numbers

Among the positive numbers, 56 comes first

then 25 and finally 8

Then we move to the negative numbers

-2 comes first

then -7 and then -34

Hence

56, 25, 8, -2, -7, -34

Answer:

3 divided by 10

Step-by-step explanation:

Answer:

Divide 3 by 10

You will get answer as 0.3

Now you have got the decimal expansion of 3/10

Answer: 2.333333...

Step-by-step explanation:

If we apply rise over run, we see that it rises 3.5 spaces, and runs 1.5, which means that   \(m = \frac{rise}{run} = \frac{3.5}{1.5} = 2.33333...\)

Answer:

Hakims car travels 600 feet in 20 seconds. Andres mortar cycle travels 300 feet in 12 seconds. Which is faster, the car or the motorcycle?

The car is faster

Find the unit rates

The car is going 30 feet in 1 second(600 divide by 20 = 30)

The motorcycle is gonig 25 feet in 1 second(300 divide by 12 = 25)

Compare the unit rates

30 > 25

Step-by-step explanation:

Answer:

Hakim's car is faster.

Step-by-step explanation:

Hakim's car takes 20 seconds to go 600 feet. Andre's motorcycle takes 24 seconds to go 600 feet.

So for Hakim, the unit rate are 30 feet per second because 600/20 = 30

For Andre, the unit rate is 25 feet per second because 600/24 = 25

Hakim's car goes faster because 30 is greater than 25.

Answer:

\( \bf \huge 78.5 \: c.m.\)

Step-by-step explanation:

where,

finding the area of circle

⟼ A = πr²

⟼ A = 22/7 × 5²

⟼ A = 22/7 × 5 × 5

⟼ A = 3•14 × 5 × 5

⟼ A = 3•14 × 25

⟼ A = 78•5

∴ the area of circle is 78•5 centimeters

Answer:

78.5

Step-by-step explanation:

A=πr^2 is the formula. Since you're using pi as 3.14, 3.14 times 5^2 is 78.5 (5^2 is 25 because 5x5=25)

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Answer:

green container

Step-by-step explanation:

The length of the side x is approximately 11.2 units.

A triangle is a three-sided polygon that is formed by connecting three non-collinear points in a plane. The three sides of a triangle are line segments that connect the vertices (corner points) of the triangle. The angles formed by the intersection of the sides are called interior angles of the triangle.

There are different ways to classify triangles based on their sides and angles. Based on sides, a triangle can be:

Equilateral: all three sides are equal in length.

Isosceles: two sides are equal in length.

Scalene: all three sides are of different lengths.

Based on angles, a triangle can be:

Acute: all three angles are acute (less than 90 degrees).

Right: one angle is a right angle (exactly 90 degrees).

Obtuse: one angle is obtuse (greater than 90 degrees).

In a right triangle, the side opposite the 68-degree angle is the hypotenuse, and the side adjacent to the 68-degree angle is the adjacent side. Therefore, we can use the trigonometric function cosine to find the length of the hypotenuse.

cos(68°) = adjacent/hypotenuse

cos(68°) = x/hypotenuse (since the adjacent side has length x)

We can rearrange the equation to solve for the hypotenuse:

hypotenuse = x/cos(68°)

Using a calculator, we can evaluate the expression for cos(68°) and substitute the given value for x to find the length of the hypotenuse:

hypotenuse = x/cos(68°) ≈ 36.9/x

Therefore, the length of the hypotenuse is approximately 36.9/x. We also know that the length of the other leg is 12. Using the Pythagorean theorem, we can find x:

x² + 12² = (36.9/x)²

Expanding the right side and simplifying, we get:

x⁴ - 15,129.6 = 0

Solving for x using a calculator, we get:

x ≈ 11.2 or x ≈ -11.2

Since x represents a length, it must be positive, so we take the positive value rounded to the nearest tenth:

x ≈ 11.2

Therefore, the length of the side x is approximately 11.2 units.

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Answer:

-2/3 x-3 graphed will look whit the line going down the negative side (bottom left) of the graph and also passing the (right bottom side of the graph) the points will be  (0,-3)

Step-by-step explanation:

Using the formula of simple interest, the time it will take to accumulate to $3200 at a rate of 4.5% is 71.35 years

Simple interest is a method of calculating the interest charge on a loan or deposit. It is based on the principle of earning interest only on the initial amount (principal) that was borrowed or deposited.

The formula for simple interest is:

I = P * r * t

where:

I is the interest amount

P is the principal amount

r is the interest rate (expressed as a decimal)

t is the time period (in years)

Substituting the values into the formula;

A = P(1 + rt)

3200 = 760(1 + 0.045(t))

3200 = 760 + 34.2t

34.2t = 3200 - 760

34.2t = 2440

t = 2440 / 34.2

t = 72.35 years

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