Solve the equation. C- 12 = -16

we have the function

f(x)=sinx

interval [0,2pi]

see the graph below to better understand the problem

The point is an x-intercept

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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Answer:

Since 6x4=24

and

2x4=8,

we can tell that these answers are common multiples of 8, and so 24 plus 8 equals 32.

Step-by-step explanation:

8x4=32

Answer:

Step-by-step explanation:

Remaining fraction:

1/5 of books are encyclopedia

Answer:

Let the total fraction of books be 1, then;

\(1 - ( \frac{1}{10} + \frac{2}{10} + \frac{1}{2} ) \\ 1 - ( \frac{(1 + 2 + 5)}{10} ) \\ (1 - \frac{8}{10}) = \frac{(10 - 8)}{10} \\ \frac{2}{10} = \boxed{ \frac{1}{5} }\)

The mean, median, and mode of a completely normal distribution will all have the same value, represented graphically by the top of the curve. The correct option is C.

The mean, median, and mode of a completely normal distribution will all have the same value, represented graphically by the top of the curve. The normal distribution is often known as the bell curve because the probability density graph resembles a bell.

The option that is not true for the normal distribution is the value of the mean and the height of the density curve at its lowest are not equal.

Hence, the correct option is C.

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The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.

To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.

First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.

In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.

Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.

Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.

Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.

Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.

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To prove by contrapositive, we need to show that if n is odd, then n^3+5 is even.

The contrapositive of the original statement is logically equivalent to the original statement.  if we can prove the contrapositive, then we have also proven the original statement.

Proof by contrapositive:

Assume that n is an odd integer, which means that n can be written in the form n = 2k + 1, where k is an integer.

Then, n^3+5 = (2k+1)^3 + 5

= 8k^3 + 12k^2 + 6k + 1 + 5

= 8k^3 + 12k^2 + 6k + 6

We can factor out a 2 from the last two terms of this expression:

n³ + 5 = 2(4k³ + 6k²)

Since 4k³ + 6k² + 3k + 3 is an integer, we can see that n³ + 5 is an even integer, which means that n is even by definition.

we have proven that if n is an integer and n³ + 5 is odd, then n is even by contrapositive.

n^3+5 = 2(4k^3 + 6k^2 + 3k + 3)

Since 4k^3 + 6k^2 + 3k + 3 is an integer, n^3+5 is even.

we have shown that if n is odd, then n^3+5 is even, which is the contrapositive of the statement we were asked to prove.

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Step-by-step explanation:

50 miles per hour, how long will it take before that train meets THE Other train, going from B to A, at a speed

The earth and the sun is 500 times farther form the earth and the moon.

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, The distance between the sun and the moon is 100,000,000 miles.

And the distance from the earth to the moon is 200,000.

Therefore, The earth and the sun is (100000000/200000) miles farther from the earth and the moon.

= 500 times farther.

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The different sums are possible are 18.

As, the number of different sums possible is given by the equation:

Number of different sums = n x m

In other words, we multiply the number of outcomes for the first spinner by the number of outcomes for the second spinner to get the total number of unique sums.

So, the different sums are possible

= 2 x 3 x 3

= 18

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

Explanation:

When x = 0, we have y = 18. The y intercept value is 18. This is the initial value, and it's the value of 'a' in the equation below

y = a*b^x

The value of b is tied to the growth or decay rate, depending on if b > 1 or if 0 < b < 1 respectively.

In this case, we have growth due to y increasing as x increases. They increase together.

When x increases by 1 like this, the value of b can be determined by dividing any y term over its previous value. So for instance, we can say b = 21.6/18 = 1.2 or we could say b = 25.92/21.6 = 1.2

Then note how 1.2 = 6/5, which means b = 6/5

Therefore, y = a*b^x becomes y = 18(6/5)^x

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

We can confirm this equation by plugging in x values from the table and we should get the y values, or f(x) values, listed

Example: plug in x = 0 to find that

y = 18(6/5)^x

y = 18(6/5)^0

y = 18(1)

y = 18 which matches

Then try x = 1

y = 18(6/5)^x

y = 18(6/5)^1

y = 18(1.2)

y = 21.6 that also matches

I'll let you confirm the other x values.

The value of x in the angles is 19.

When lines intersect, angle relationships are formed such as vertically opposite angles, adjacent angles etc.

Therefore, let's find the value of x in the intersecting lines.

Hence,

7x - 8 = 6x + 11 (vertically opposite angles)

Vertically opposite angles are congruent and they share the same vertex point.

Hence,

7x - 8 = 6x + 11

subtract 6x from both sides of the equation

7x - 8 = 6x + 11

7x - 6x - 8 = 6x - 6x + 11

x - 8 = 11

add 8 to both sides of the equation

x - 8 + 8 = 11 + 8

x = 19

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The Sample space would be

        {(w,c), (w,e), (w,m), (o, c) (o,e), (o,m), (r,c), (r,e), (r,m)}

According to the question,

Colors for room are { w, o,r}

Entertainment center would be { c, e, m}

A set that consists of all possible outcomes and the result from a random experiment( real or conceptual) is called a sample set. The experiment of tossing a coin results in either of two possible outcomes; a head (H) or a tail (T). The sample space for this experiment is S= {H, T}. If we take a sample space by tossing two coins the result would be S={HH, HT, TH, TT}.

So, the Sample space would be

        {(w,c), (w,e), (w,m), (o, c) (o,e), (o,m), (r,c), (r,e), (r,m)}

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Answer:

308915776 six-letter passwords are possible with repetitions

Step-by-step explanation:

Since repetition is allowed, this means there are 26 possible choices for the first letter of the password, 26 possible choices for the second letter of the password, and so on until the sixth letter.

This can be represented as 26^6=308915776

With repetition 26⁶ passwords can be formed using the letters A to Z taken six at a time.

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, The six letter passwords are formed using the letters A through Z

with repetition is Nⁿ, Where N is the total number of letters and n is is the number of letters taken at a time.

Therefore it would be,

= 26⁶ passwords.

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Answer:

Find the area of the rectangle. Then, find the area of the circle. The diameter is given, so take half that to get the radius. Multiply the area of the circle by half. Subtract the area of the half circle from the area of the rectangle.

Step-by-step explanation:sample

Answer:

ANSWER 4

Step-by-step explanation:

the hcf is 420 and then u say 2x2=4 simple

Answer:

x = 23

Step-by-step explanation:

You have to find where they are equal because the angle will be the same.

8x - 27 = 7x + 4

x = 23

The value of x is equal to 23°

Lines are straight and have negligible depth or width. There are a variety of lines you will learn about, such as perpendicular lines, intersecting lines, transversal lines, etc. An angle is a figure in which two rays emerge from a common point. You may also come across alternate and corresponding angles in this field.

Given here, Two corresponding angles thus they must be equal

Thus 8x-27=7x-4

            x= 23°

Hence, The value of x is equal to 23°

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first we make (foh)(x)

simplify

now replace x=6

So, the composite function (foh) evaluated at x=6 is,(foh)(6)=6

Answer:

4.375

Step-by-step explanation:

yvgyvnbvtyuvhStep-by-step explanation:

h7iuhouy7gujh

Then the linear equation for the second railroad track is:

y = 3*x + 3

We know that the equation will be parallel to the line:

y = 3x + 9

Remember that two lines are parallel if the lines have the same slope, then the other linear equation is something like:

y = 3x + b

To find the value of b we use the fact that the line passes through (2, 9), this means that:

9 = 3*2 + b

9 - 6 = b

3 = b

Then the linear equation for the second railroad track is:

y = 3*x + 3

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Answer: Y+3x+3 your welcome

Step-by-step explanation:

dont worry bout allat

The probability that the three randomly selected students will have blood types A, B and AB is given as follows:

0.00164 = 0.164%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

Hence the probability for this problem is calculated as follows:

41/100 x 1/10 x 1/25 = 0.00164 = 0.164%.

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x^3 + y^3 + z^3

Cannot be fully factored because it is already in it's most simplistic form.

But, I can halfway factor it, which is

(x+y+z)^3 - 3( yx^2 + zx^2 + xz^2 + yz^2 + xy^2 + zy^2 + 2xyz )

ANSWER

EXPLANATION

We want to factor the expression given:

To do this, we use the difference of two squares method:

Therefore, we have:

That is the answer.

Answer:

The answer is 4.94, rounded.

Step-by-step explanation:

The pythagorean theorem is : a^2+b^2=c^2

Inserting our numbers:

3.4^2+b^2=6^2

We can find 'B' by finding the other two numbers and subtracting 'A', from 'C'.

3.4*3.4= 11.56

6*6= 36

36-11.56= 24.44

Then, find the root of the difference

√24.44

4.94368283772...

Then round, and you have your answer!

4.94

Answer:

7.5

Step-by-step explanation:

7.52100840336

The missing values are

<UTQ = 41 degree

x= 1

<UQT = 47 degree

We have a parallelogram QRST.

We know that the opposite sides of the parallelogram is equal and parallel then

QR || ST

QT || SR

Then, <SRT = <RTQ (<UTQ) (alternate Interior Angle)

<UTQ = 41

Similarly, <UQT = <SRQ = 47

Now, RU = UT

2x + 1= 3

2x = 2

x= 1

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Answer:

\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)