solve x over 6 equals -8

Answer:

3/4

Step-by-step explanation:

Since this is a right triangle

tan Z = opp side / adjacent side

tan Z = 30/40

tan Z = 3/4

The expression -2√294p³ can be simplified as -17.146 p√p using the concept of radicals.

An expression that has a root, typically a square or cube root, is referred to as a radical.

The radical form of the square root of 294 is √294 and the exponent form is \(294^{\frac{1}{2} }\).

17.146428 is the square root of 294 when rounded to six decimal places.

Now, the square root of p³ will be

\(\sqrt{p^{2} .p}\) = p√p

Therefore the square root of √294p³ is 17.146428p√p.

The expression -2√294p³ can be written as -17.146 p√p.

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a) 316251 distinct subcommittee configurations may be created.

b) The total number of remaining 50 persons is 230300.

The combination is the formula used to choose the number of elements from the available set. The selection of the things is immaterial in combination.

a) There are numerous ways to form various subcommittees, including:

N = \({}^{54}C_4\)

N = 316251

There are 316251 possible methods.

b) Only 50 persons are remaining.

Further, the four-person committee can be established as follows:

N = \({}^{50}C_4\)

N = 230300

Therefore, there are 230300 ways.

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The equation of the line that is passing through the point (4,−17) and is perpendicular to y=x/7−3 is 7x -y = -30.

The line is passing through the point (4,-17) and is perpendicular to the line y = x/7-3

Now, the slope of the given line y = x/7-3 is,

M = 1/7

If the other line is perpendicular to it and has slope m, then the, we can write,

Mm = -1

So, putting values,

(1/7)m = -1

m = -7

Now, we have the slope m = -7 of the line and the point (4,-17) of the line,

So, the equation of the line will be,

m = [y-(-17)]/[x-4]

-7 = y+17/x-4

7x+47 = y+17

7x -y = -30

So, the equation of line is 7x -y = -30.

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You plan to construct a brick wall measuring 14.5 ft. in length, 5.5 ft. high, and 0.5 ft. in width. If a brick measures 6 in. x 4 in. x 2 in. you will need 3,240 bricks.

The volume of the cuboid is the product of the length, breadth, and height of the given prism.

Volume of cuboid = (length x width x height)

We have given that

Dimensions of a brick wall is given by

Length = 14.5 feet

Width = 0.5 feet

Height = 5.5 feet

Dimensions of a brick is given by

Length = 6 inch

Width = 4 inch

Height = 2 inch

First of all, we will convert the dimensions of a wall from feet into inches.

1 feet = 12 inch

15 feet = 12*15 inch = 180 inch

6 feet = 12*6 inch = 72 inch

We know that volume of a brick wall will be equal to the volume of 'n' bricks, so we can set an equation;

The volume of a brick wall = the volume of 'n' bricks

180 x 72 x 12 = n x 6 x 4 x 2

155520 = n x 48

n = 3240

Therefore, you will need 3,240 bricks.

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To calculate the total profit you have to multiply whats earned by the time:

The company earned a profit of 25 millions.

Answer:

The answer is a.) 6.75

Explanation:

I got it right on my quiz :)

Answer:

9

hope this helps

have a good day :)

Step-by-step explanation:

Using the fundamental counting principle, it is found that there are 24 different combinations she can wear.

The sweaters and the pants are independent, and this is why the fundamental counting principle is used.

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

Thus:

T = 6 * 4 = 24

There are 24 different combinations.

A combination in mathematics is a selection of items from a fixed that have amazing members, making the order of selection irrelevant (not like permutations). For instance, given a set of three fruits—say let's an apple, an orange, and a pear—one can choose between three combinations: an apple and a pear, an apple.

A hard and fast S's ok aggregate is, more precisely, a subset of S's ok amazing components. As a result, two combinations are equal if and best if each contains the same players. (The ties between the people in each group are not considered.)

(n/k) ={ n(n - 1) . . . (n – k + 1)}/{k(k - 1) . . . 1}

n!/{k!(n - k)!}

k > n.

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Answer:

x = 35

Step-by-step explanation:

Since m1=m2 :

\(2x - 20 = 50 \\ 2x = 70 \\ x = 35\)

Answer:

There are 12 possible outcomes.

Step-by-step explanation:

For each of the three sizes of beverages, there are four flavors. So there are 3 * 4, or 12, possible outcomes.

The prediction equation is  determined as y = -3.9x  + 100.

The prediction equation is calculated as follows;

The formula for the general equation of a linear graph is given as;

y = mx + c

where;

From the line of the best fit drawn in the graph, the slope of the line is calculated as follows;

m = Δy / Δx

let's choose the following points;

(x₁, y₁) = (4, 84)

(x₂, y₂) = (14, 45)

m = (45 - 84) / (14 - 4)

m = -39/10

m = -3.9

From the graph, the y - intercept = 100

The prediction equation is determined as;

y = -3.9x  + 100

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The solution of given equation by using the property of equality is x = 2.

An equation has been presented to us.

3(2x + 6) -4x = 2(5x -2) + 6

Our given equation has to be solved step-by-step.

Step 1: Utilize the distributive property;

3×2x + 3×6 - 4x = 2×5x -2×2 + 6

6x + 18 -4x = 10x - 4 + 6

Step 2: combine similar phrases.

6x + 18 -4x = 10x - 4 + 6

2x + 18  = 10x + 2

Step 3: Apply the equality's subtraction property

2x - 2x + 18  - 2 = 10x + 2 - 2x - 2

16 = 8x

Step 4: Apply the equality's divisional property:

16/8 = 8x/8

x = 2

As a result, is our given equation's answer is x = 2.

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The correct question is-

Follow the steps to solve this equation. 3(2x + 6) – 4x = 2(5x – 2) + 6 1. Use the distributive property: 6x + 18 – 4x = 10x – 4 + 6 2. Combine like terms: 2x + 18 = 10x + 2 3. Use the subtraction property of equality: 18 = 8x + 2 4. Use the subtraction property of equality: 16 = 8x 5. Use the division property of equality:

As, stx = tsx for every eigenvector x of t, and eigenvectors corresponding to distinct eigenvalues are linearly independent, we can conclude that st = ts.

To prove that st = ts, where v is finite-dimensional, t and s are linear operators on v, t has dim v distinct eigenvalues, and s has the same eigenvectors as t (not necessarily with the same eigenvalues), we can use the fact that eigenvectors corresponding to distinct eigenvalues are linearly independent.

Let's consider an eigenvector x of t with eigenvalue λ. We can write this as tx = λx. Now, since s has the same eigenvectors as t, we can write this as sx = λx.

Now, let's consider the product stx. Using the definitions of s and t, we have stx = s(λx) = λ(sx).

Since sx = λx, we can substitute this in the above equation to get stx = λ(λx) = λ²x.

On the other hand, let's consider the product tsx. Using the definitions of s and t, we have tsx = t(λx) = λ(tx).

Since tx = λx, we can substitute this in the above equation to get tsx = λ(λx) = λ²x.

Since stx = tsx for every eigenvector x of t, and eigenvectors corresponding to distinct eigenvalues are linearly independent, we can conclude that st = ts.

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The correct answer is B

The improper fraction of \(\frac{10}{6}\) is \(1\frac{2}{3}\) .

Converting \(\frac{10}{6}\) into improper fraction,

\(\frac{10}{6}\\\\=\frac{5}{3}\)

Divide 5 by 3, we get 1 with remainder 2

Now, write 1 as whole number , 2 as new numerator  and denominator remains same i.e. 3

Now, Improper fraction is \(1\frac{2}{3}\) .

Thus, the improper fraction of \(\frac{10}{6}\) is \(1\frac{2}{3}\) .

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The measure of angle ∠E is 90 degrees. Therefore, the answer is C.

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

Therefore, the triangles EFG and JKL are congruent and that means the side and angles are congruent.

Therefore,

ΔEFG ≅ ΔJKL

where

∠E = ∠J = 90 degrees

∠F = ∠K = 26 degrees

∠G = ∠L = 64 degrees

Therefore, let's find ∠E as follows:

Using the congruency as follows:

∠E = 90 degrees

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If we want to provide a 99% confidence interval for the mean of a population, the confidence coefficient will be 0.99. This means that there is a 99% probability that the true population mean falls within the calculated interval.

The confidence coefficient for a confidence interval represents the level of confidence we have in our estimate.

In the case of a 99% confidence interval, the confidence coefficient is 0.99. This means that we are 99% confident that the true population mean falls within the calculated interval. The confidence coefficient is derived from the desired level of confidence, which is typically expressed as a percentage.

A higher confidence level corresponds to a larger confidence coefficient. In practical terms, a 99% confidence interval indicates that if we were to repeat the sampling process multiple times and construct 99% confidence intervals, approximately 99% of those intervals would contain the true population mean.

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Answer:

Chord

Step-by-step explanation:

Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.

The two pairs of Adjacent angles in the figure are:

∠1 and ∠3, ∠3 and ∠7.

The correct option is c.

In the given diagram with two intersecting lines and angles ∠1, ∠3, ∠5, and ∠7, the adjacent angle pairs are as follows:

Adjacent angles to ∠1:

∠1 and ∠5

∠1 and ∠3

Adjacent angles to ∠3:

∠3 and ∠1

∠3 and ∠7

Adjacent angles to ∠5:

∠5 and ∠1

∠5 and ∠7

Adjacent angles to ∠7:

∠7 and ∠3

∠7 and ∠5

Adjacent angles are angles that share a common side and a common vertex, where the vertex is the point of intersection between the two lines. In this case, the adjacent angle pairs can be identified based on their relationship to each angle (∠1, ∠3, ∠5, ∠7) and the intersecting lines.

from the given choices,

∠1 and ∠3, ∠3 and ∠7

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No, it does not matter who will go first as the probability of getting both head and tail after flipping a coin is equal to ( 1 / 2 ).

As given in the question,

Number of players playing the game = 2

Number of coins to flip = One

Possible outcomes after flipping a coin = { Head , Coin }

Probability of getting a head

= (Number of favourable outcomes) / ( Total number of outcomes)

= 1 / 2

Probability of getting a tail

= 1 / 2

Either you tossed first or second chances are fifty percent.

Therefore, it does not matter who will go first as probability of getting head and tail is ( 1 / 2) after flipping a coin.

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1) Let' s x:

Remove the Parentheses:

Combine like terms:

2) Hence, the sum of this expression is:

The closed form of the sum f(x) is f(x) = sin(x) + (1/3)sin(2x) + (1/5)sin(3x)

What is the trigonometric ratio?

The trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.

We can use the identity:

\(sin(nx) = Im(e^{(inx))}\)

where Im(z) denotes the imaginary part of z. Applying this identity, we can rewrite f(x) as:

\(f(x) = Im(e^{(ix))} + 1/3 Im(e^{(i2x))} + 1/5 Im(e^{(i3x))}\)

Using the fact that Im(z) = (1/2i)(z - conj(z)) where conj(z) denotes the complex conjugate of z, we can simplify this expression:

\(f(x) = (1/2i)(e^{(ix)} - conj(e^{(ix)))} + (1/2i)(1/3)(e^{(i2x)} - conj(e^{(i2x)))} + (1/2i)(1/5)(e^{(i3x)} - conj(e^{(i3x)))}\)

Now we can use the fact that \(e^{(ix)} - conj(e^{(ix))} = 2i sin(x) and e^{(i2x)} - conj(e^{(i2x))} = 2i sin(2x)\) to get:

f(x) = sin(x) + (1/3)sin(2x) + (1/5)sin(3x)

Thus, we have expressed f(x) in a simpler form that allows us to evaluate it directly.

Therefore, the closed form of the sum f(x) is:

f(x) = sin(x) + (1/3)sin(2x) + (1/5)sin(3x)

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Question 1 : Janae can find out when she first hit the water by finding out the distance of travel, as well as her speed of travel

Question 2 :

Given that her height above the water can be modeled using the function below:

We can obtain her vertical distance of travel from the diving board to the point where she starts to descend

At the turning point,

Hence, Jane travelled a distance of 10 units upwards and (10 + 15)unit downwards

At the turning point, her velocity is zero, using the relation below we can find her initial velocity and then the time it took

From the turning point, her velocity changes from 0

The equation as given in the task content whose solution is to be determined has; infinitely many solutions.

It follows from the task content that the number of solutions which satisfy the given equation are to be determined.

On this note, it follows that the since the equation given is;

−4(x+5)=−4x−20

By solving the parentheses by distributive property; we have;

-4x -20 = -4x - 20

It therefore follows from the equation above that both sides of the equation are equal and identical.

Hence, the equation given has infinitely many solutions.

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If the derivative of a function is positive, then the function is increasing. If the derivative of a function is negative, then the function is decreasing.

1. Take a function, f(x).

2. Take the derivative of the function, f'(x).

3. If f'(x) is greater than 0, then the function is increasing.

4. If f'(x) is less than 0, then the function is decreasing.

To determine if a function is increasing or decreasing, the derivative of the function must be found. The derivative of a function is written as f'(x). If the derivative is greater than 0, then the function is increasing. If the derivative is less than 0, then the function is decreasing. This is because an increasing function has a positive slope, and a decreasing function has a negative slope. The derivative is the slope of the function, so if the derivative is positive, the function is increasing, and vice versa.

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Answer:

The answer to your question is given in the attached photo.

Step-by-step explanation:

To determine the answer to the question,

First, we shall determine the value 3A.

This is obtained by multiplying matrix A by 3 as shown in the attached photo.

Next, we shall carry out the operation 3A – B as shown in the attached photo.

Answer:

\(\frac{1}{14}\),\(-\frac{3135}{28}\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The exponential model for the given points is y = 6.88(1.47)ˣ

In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given,

points are (8,150) and (9,220)

Exponential function,

y = abˣ            --------(A)

for point (8 , 150)

150 = ab⁸    -------(1)

for point (9 , 220)

220 = ab⁹    -------(2)

Dividing equation (2) by equation (1)

220/150 = ab⁹/ab⁸

Simplifying

1.47 = b

Substituting value of b in equation (1)

150 = a(1.47)⁸

150 = a(21.80)

a = 150/21.80

a = 6.88

Substituting value of a and b in equation(A)

y = 6.88(1.47)ˣ

Hence, y = 6.88(1.47)ˣ is the exponential model for given points.

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