Please help ASAP
Thank you

You can identify that the triangle is a Right Triangle because it has an angle that measures 90 degrees.

Then, you can use the following Trigonometric Function:

In this case:

Therefore, substituting values and solving for "x", you get:

Hence, the answer is: Option D.

Answer:

1

Step-by-step explanation:

5/7+2/7 add the numerator to equal 7/7 simplify to 1/1 equals 1

5 adult tickets and 3 student tickets were purchased!

Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

Answer:

False

Step-by-step explanation:

1. The inverse function should have c(n) isolated
2. When finding the inverse of a function, the variables c(n) and n are interchanged (and then c(n) is isolated).
It would look like this --->c(n)=50+4n--->n=50+4(c(n)) ---> c(n)=(n-50)/4

The probability P(X < 4) is approximately 0.2734 when X has a binomial distribution with n = 7 and p = 0.5.

When X has a binomial distribution with n = 7 and p = 0.5, we can use the cumulative distribution function (CDF) or the formula for the probability mass function (PMF) of the binomial distribution to determine the probability P(X 4) by adding the probabilities for X = 0, 1, 2, and 3.

Binomial CDF usage:

P(X 4) = P(X 3) = binom.cdf (3, n = 7, p = 0.5) 0.2734

Binomial PMF usage:

P(X 4) = P(X = 0), P(X = 1), P(X = 2), and P(X = 3) = binom.pmf(0, n=7, p=0.5), binom.pmf(1, n=7, p=0.5), binom.pmf(2, n=7, p=0.5), and binom.pmf(3, n=7, p=0.5), and binom.pmf(3, n=7, p=0.5) = 0.2734.

Since X has a binomial distribution with n = 7 and p = 0.5, the chance P(X 4) is roughly equal to 0.2734.

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Answer:

1)  The functions are not inverses.

\(\textsf{2)} \quad g^{-1}(n)=&\dfrac{3}{8}n-\dfrac{7}{8}\)

\(\textsf{3)} \quad g^{-1}(x)&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\)

Step-by-step explanation:

The inverse composition rule states that if two functions are inverses of each other, then their compositions result in the identity function.

Given functions:

\(g(x) = 4 + \dfrac{7}{2}x \qquad \qquad f(x) = 5 - \dfrac{4}{5}x\)

Find g(f(x)) and f(g(x)):

\(\begin{aligned} g(f(x))&=4+\dfrac{7}{2}f(x)\\\\&=4+\dfrac{7}{2}\left(5 - \dfrac{4}{5}x\right)\\\\&=4+\dfrac{35}{2}-\dfrac{14}{5}x\\\\&=\dfrac{43}{2}-\dfrac{14}{5}x\\\\\end{aligned}\)                 \(\begin{aligned} f(g(x))&=5 - \dfrac{4}{5}g(x)\\\\&=5 - \dfrac{4}{5}\left(4 + \dfrac{7}{2}x \right)\\\\&=5-\dfrac{16}{5}-\dfrac{14}{5}x\\\\&=\dfrac{9}{5}-\dfrac{14}{5}x\end{aligned}\)

As g(f(x)) or f(g(x)) is not equal to x, then f and g cannot be inverses.

\(\hrulefill\)

To find the inverse of a function, swap the dependent and independent variables, and solve for the new dependent variable.

Calculate the inverse of g(n):

\(\begin{aligned}y &= \dfrac{8}{3}n + \dfrac{7}{3}\\\\n &= \dfrac{8}{3}y + \dfrac{7}{3}\\\\3n &= 8y + 7\\\\3n-7 &= 8y\\\\y&=\dfrac{3}{8}n-\dfrac{7}{8}\\\\g^{-1}(n)&=\dfrac{3}{8}n-\dfrac{7}{8}\end{aligned}\)

Calculate the inverse of g(x):

\(\begin{aligned}y &= 1-2x^3\\\\x &= 1-2y^3\\\\x -1&=-2y^3\\\\2y^3&=1-x\\\\y^3&=\dfrac{1}{2}-\dfrac{1}{2}x\\\\y&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\\\\g^{-1}(x)&=\sqrt[3]{\dfrac{1}{2}-\dfrac{1}{2}x}\\\\\end{aligned}\)

Answer:

1.

If the composition of two functions is the identity function, then the two functions are inverses. In other words, if f(g(x)) = x and g(f(x)) = x, then f and g are inverses.

For\(\bold{g(x) = 4 + \frac{7}{2}x\: and \:f(x) = 5 -\frac{4}{5}x}\), we have:

\(f(g(x)) = 5 - \frac{4}{5}(4 + \frac{7}{2}x)\\ =5 - \frac{4}{5}(\frac{8+7x}{2})\\=5 - \frac{2}{5}(8+7x)\\=\frac{25-16-14x}{5}\\=\frac{9-14x}{5}\)

\(g(f(x)) = 4 + (\frac{7}{5})(5 - \frac{4}{5}x) \\=4 + (\frac{7}{5})(\frac{25-4x}{5})\\=4+ \frac{175-28x}{25}\\=\frac{100+175-28x}{25}\\=\frac{175-28x}{25}\)

As you can see, f(g(x)) does not equal x, and g(f(x)) does not equal x. Therefore, g(x) and f(x) are not inverses.

Sure, here are the inverses of the functions you provided:

2. g(n) = (8/3)n + 7/3

we can swap the roles of x and y and solve for y to find the inverse of g(n). In other words, we can write the equation as y = (8/3)n + 7/3 and solve for n.

y = (8/3)n + 7/3

n =3/8*( y-7/3)

Therefore, the inverse of g(n) is:

\(g^{-1}(n) = \frac{3}{8}(n - \frac{7}{3})=\frac{3}{8}*\frac{3n-7}{3}=\boxed{\frac{3n-7}{8}}\)

3. g(x) = 1 - 2x^3

We can use the method of substitution to find the inverse of g(x). We can substitute y for g(x) and solve for x.

\(y = 1 - 2x^3\\2x^3 = 1 - y\\x = \sqrt[3]{\frac{1 - y}{2}}\)

Therefore, the inverse of g(x) is:

\(g^{-1}(x) =\boxed{ \sqrt[3]{\frac{1 - x}{2}}}\)

Given: g(x) = 8x - 2

So, the value of g(-2) = 8 * -2 - 2 = -18

And g(4) = 8 * 4 - 2 = 30

We will check the given statements according to the values of g(-2) and g(4):

1) The value of g(-2) is larger than the value of g(4) [Wrong]

Because the value of g(-2) is smaller then the value of g(4)

2) The value of g(-2) is the same as the value of g(4) [Wrong]

3) The value of g(-2) is smaller than the value of g(4) [True]

4) The values of g(-2) and g(4) cannot be compared.​ [wrong]

So, the true statement is The value of g(-2) is smaller than the value of g(4)

Answer:

ANSWER: (4, -12)

Step-by-step explanation:

Lol

Answer:

H = 0.75/0.22

H = 3.409 hours round to 3.4 hours

Step-by-step explanation:

14.89+ 0.06h = 15.64 -0.16h

Subtract 14.89 from both sides:

0.06h = 0.75 - 0.16h

Add 0.16h to both sides:

0.22h = 0.75

Divide both sides by 0.22:

Answer:

He ate it or he may have ate some in some packs then refilled the other packs.

Step-by-step explanation:

Answer:

Someone else ate them!

Answer: A. 299.5

Step-by-step explanation:

1248 · 24%

1248 · 0.24=299.50

Answer:A number is divisible by 2 if it ends in 2, 4, 6, 8 or 0. A number is divisible by 5 if it ends in 5 or 0. A number is divisible by 10 if it ends in a 0.Apr 8, 2018

Answer:

\(8.5x+4y=99.5,\ x+y=17\)

Step-by-step explanation:

\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)

Answer:

8,064 i hope it is helpful have a nice day

Answer:

\(volume = 4 \times 4 \times 4 \\ = {4}^{3} \\ = 64 \: cubic \: ft\)

Answer:

11

Step-by-step explanation:

first 3-2=1 the divide 90 by 3 then add the 1 the subtract that by 20 and you will get 11

The result of the expression 90 divided by 3 plus the quantity (3 minus 2) minus 20 is 11.

To evaluate the expression 90 divided by 3 + (3 - 2) - 20, we can follow the order of operations (also known as PEMDAS/BODMAS), which stands for Parentheses/Brackets, Order/Exponents, Division/Multiplication, and Addition/Subtraction:

First, let's simplify the expression within the parentheses:

3 - 2 = 1

Now we can substitute the simplified expression back into the main expression:

90 ÷ 3 + 1 - 20

Next, perform the division:

90 ÷ 3 = 30

Now we have:

30 + 1 - 20

Next, perform the addition:

30 + 1 = 31

Finally, perform the subtraction:

31 - 20 = 11

Therefore, the value of the expression 90 divided by 3 + (3 - 2) - 20 is 11.

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The solution to the system of equations is (-10/29, 71/29).

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Answer:

Try 1/6, if not then search up Fraction Calculator it should be Calculator.net

Answer:

A dynamic environment is a business environment that is rapidly changing. In a dynamic market, businesses have to adapt quickly to changes and develop new ideas, products and services to keep up with technology and new trends.

Step-by-step explanation:

Answer:

V ≈ 201.06 units³

General Formulas and Concepts:

Math

Rounding

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Cylinder Formula: V = πr²h

Step-by-step explanation:

Step 1: Define

Radius r = 2 units

Height h = 16 units

Step 2: Find Volume

Answer:

x = 21.52

Step-by-step explanation:

Given:

hypotenuse (That has to be found out)

Side adjacent to the given angle

and an angle,

Hence we can say that Cos ratio would be used;

Cos(28) = 19 / x

x = 19 / Cos(28)

x = 21.52

Hope this helps!

Answer:

120.

Step-by-step explanation:

Para poder determinar el numero de canicas que Juan tiene, se debe obtener el múltiplo común mayor entre 2, 3 y 5, que sea menor a 200. Así, para ser múltiplo de 2 debe ser un número par, para ser múltiplo de 3 sus dígitos deben sumar un número divisible por 3, y para ser múltiplo de 5 debe terminar en 5 o 0.

Así, dado que 0 es par, se debe tratar de un número terminado en 0, divisible por 3: puede tratarse de los números 120, 150 o 180. Así, dado que 119/7 es igual a 17, sobrando 1 para completar el número 120, el número de canicas que Juan tiene es 120.

\(\sf\longmapsto4296875x=32768\)

\(\sf\longmapsto \dfrac{4296875x}{4296875} = \dfrac{32768}{4296875} \)

\(\sf\longmapsto \: x = \dfrac{32768}{4296875} \)

Answer:

m=-52

Step-by-step explanation:

1) multiply both sides by 4

m=-13×4=-52

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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