Help me with this question please!! :)

Answer:

72 Degrees

Step-by-step explanation:

We know that its 72 because of VAT, the vertical angle theorem.

[tex]a - 4 = ( \sqrt{a} - 2)( \sqrt{a} + 2)[/tex]

[tex] \frac{ \sqrt{a} - 2}{a - 4} = \frac{ \sqrt{a} - 2}{( \sqrt{a} - 2)( \sqrt{a} + 2) } = \frac{1}{ \sqrt{a} + 2 } [/tex]

Since everything to the right of the line is shaded, the linear inequality which represents the graph is equal to: A. y ≥ 1/3x - 4.

In order to determine the linear inequality which represents the graph, we would find the slope of the given points.

Mathematically, the slope of a straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given points into the formula, we have;

[tex]Slope = \frac{-4\;-\;(-5)}{0\;-\;(-3)}\\\\Slope = \frac{1}{3}[/tex]

Slope = 1/3.

From the standard equation, we have:

y - y₁ = m(x - x₁)

y - (-5) = 1/3(x - (-3))

y + 5 = 1/3x + 1

y = 1/3x + 1 - 5

y = 1/3x - 4

y ≥ 1/3x - 4.

Read more on slope here: brainly.com/question/3493733

#SPJ1

The measure of the angles are Z = 90, X = 90, V = 90, Y = ∠20, W = ∠8 and W = ∠20

The sum of angles on a straight line is 180 degrees.

This means that:

Z + 90 = 180

X + 90 = 180

V + 90 = 180

Solve for the variables

Z = 90;

X = 90

V = 90

Also, alternate angles are equal.

This means that:

Y = ∠20

W = ∠8

This is so because the above angles are alternate angles.

Lastly, corresponding angles are equal.

So, we have:

W = ∠20

Read more about angles at:

https://brainly.com/question/14362353

#SPJ1

Using the probability concept, we have that:

a) It would not be unusual to observe one component​ fail, since the probability that one component​ fails is greater than 0.05.

b) It would be unusual to observe two components​ fail, since the probability that two components​ fail is less than 0.05.

A probability is given by the number of desired outcomes divided by the number of total outcomes. If a probability is less than 0.05, the event is considered unusual.

In this problem, the probabilities are given as follows:

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:

The area of a triangle is 1/2 × base × height. 24 = 1/2 × 12 × height. Therefore height = 24/6 = 4 .

Answer:

8

Step-by-step explanation:

24=6*h/2

48=6*h

8=h

h is altitude

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: f(0) = -2[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 2 {x}^{2} - 3y = 6[/tex]

[tex]\qquad \tt \rightarrow \: 3y + 6 = 2 {x}^{2} [/tex]

[tex]\qquad \tt \rightarrow \: 3y = 2 {x}^{2} - 6[/tex]

[tex]\qquad \tt \rightarrow \: y = \cfrac{2 {x}^{2} - 6 }{3} [/tex]

[tex]\qquad \tt \rightarrow \: y = \cfrac{2 {}^{} }{3} {x}^{2} - 2[/tex]

[ here, y can be replaced with f(x) because y is a function of x ]

[tex]\qquad \tt \rightarrow \: f(x) = \cfrac{2 {}^{} }{3} {x}^{2} - 2[/tex]

[tex] \large\textsf{Find f(0):} [/tex]

[tex]\qquad \tt \rightarrow \: f(0) = \cfrac{2 {}^{} }{3} {(0)}^{2} - 2[/tex]

[tex]\qquad \tt \rightarrow \: f(0) = 0 - 2[/tex]

[tex]\qquad \tt \rightarrow \: f(0) = - 2[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

GFC = 4

Step-by-step explanation:

Factors of 20     1   2   4   5   10  20

Factors of 36     1   2  3 4  6  9 12 18 36

Answer:4

Step-by-step explanation:nice and simple

The question was incomplete. Below you will find the missing parts of the question.

The company actually loses money on their first few products as it costs them more to make them, but once they hit  ?   they break even again. The worst case scenerio is that they produce  ?   items, as they will have a profit of  ?   dollars. The first root tells us that the profit will be 0 when  ?   products are sold.

Answer: The company actually loses money on their first few products as it costs them more to make them, but once they hit  150   they break even again. The worst case scenerio is that they produce  75   items, as they will have a profit of  10000   dollars. The first root tells us that the profit will be 0 when  0   products are sold.

Because the roots are x = 0 and 150, the vertex is (75, 10000).

So, the function is y = [tex]-\frac{10000}{5625}(x-75)^{2} +10000[/tex]

When, y = 0,

[tex]0=-\frac{10000}{5625} (x-75)^{2} +10000[/tex]

⇒ [tex]\frac{10000}{5625} (x-75)^{2}=10000[/tex]

⇒ [tex](x-75)^{2} = 10000(\frac{5625}{10000})[/tex]

⇒ [tex](x-75)^{2} = 5625[/tex]

⇒ [tex]x-75=75[/tex]

⇒ x = 150

When y=0, then x =150, their income was in balance.

When x = 75, then y=10000, they will have a profit of 10000 dollars.

The first root tells us that the profit will be 0 when 0 products are sold.

Learn more about profit margin here :

https://brainly.com/question/10218300

#SPJ10

The simplification form of the provided expression is 6/5x¹⁰ option first is correct.

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

[tex]\rm = \sqrt{\dfrac{72x^{16}}{50x^{36}}}[/tex]

[tex]\rm = \sqrt{\dfrac{72}{50}} \sqrt{\dfrac{x^{36}}{x^{16}}}[/tex]

[tex]\rm = \sqrt{\dfrac{36\times2}{25\times2}} \sqrt{\dfrac{x^{36}}{x^{16}}}[/tex]

[tex]\rm ={\dfrac{6x^{8}}{5x^{18}}}[/tex]

[tex]\rm ={\dfrac{6}{5x^{10}}}[/tex]

Thus, the simplification form of the provided expression is 6/5x¹⁰ option first is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

Answer:

6x3

Step-by-step explanation:

Edge 2023

Answer:

etrf4f3dvef3rf3rfr2wrgwrf2rg3rf3rgerferferfef I'm

Answer:

19 liters 800 milliliters

Step-by-step explanation:

0.33 * 12 * 5 = 19.8 liters

Answer:

the graph has a parent function of f(x) = x²

The (x - 5)² tells us that the graph is shifted to the right 5 units.

The +2 tells us that the graph is shifted up 2 units.

Answer:

[tex]y=\dfrac{5}{4}x^3+10[/tex]

Step-by-step explanation:

Given information:

Create two equations by substituting the given points into the given equation:

Equation 1:  point (0, 10)

[tex]\implies a(0)^3+d=10[/tex]

[tex]\implies 0+d=10[/tex]

[tex]\implies d=10[/tex]

Equation 2:  point (2, 20)

[tex]\implies a(2)^3+d=20[/tex]

[tex]\implies 8a+d=20[/tex]

Substitute Equation 1 into Equation 2 and solve for a:

[tex]\implies 8a+d=20[/tex]

[tex]\implies 8a+10=20[/tex]

[tex]\implies 8a+10-10=20-10[/tex]

[tex]\implies 8a=10[/tex]

[tex]\implies \dfrac{8a}{8}=\dfrac{10}{8}[/tex]

[tex]\implies a=\dfrac{10}{8}[/tex]

[tex]\implies a=\dfrac{5}{4}[/tex]

Finally, substitute the found values of a and d into the original formula:

[tex]\implies y=\dfrac{5}{4}x^3+10[/tex]

Check by substituting the x-values of the two given points into the found equation:

[tex]x=0 \implies y=\dfrac{5}{4}(0)^3+10=10 \leftarrow \textsf{correct}[/tex]

[tex]x=2 \implies y=\dfrac{5}{4}(2)^3+10=20 \leftarrow \textsf{correct}[/tex]

Put(0,10)

Now

Put again (2,20) this time

Answer:576

Step-by-step explanation:

24 squared is 576

Answer:

Step-by-step explanation:

Comment

The angle supplementary to x and 3x are equal.

Supplementary angles = 180

Solution

x + 3x = 180

4x = 180                  Divide by 4

4x/4 = 180/4

x = 45

The angle supplementary to x is 3x

3x = 3*45

3x = 135

This angle is vertically opposite y. Vertically opposite angles are equal. So  y = 135

Answer

x = 45

y = 135

Answer:

x^3 + 8y^6

Step-by-step explanation:

Answer:

the answer is B !!!

Step-by-step explanation:

thank me later lol

Answer:

30°

Step-by-step explanation:

Since ED = FD, the ∠DEF = ∠EFD
Since ∠DEF = 2x, ∠EFD is also equal to 2x
The sum of the 3 angles of a triangle is 180°

So x + 2x + 2x = 180
6x = 180
x = 30

Answer:

  18 inches by 80 inches

Step-by-step explanation:

The given relations can be used in conjunction with the Pythagorean theorem to find the rectangle dimensions.

__

Let x and y represent the width and length of the rectangle, respectively. One of the relations is that between length and width:

  y = 2x +44 . . . . . length is 44 more than twice the width

The other relation is described by the Pythagorean theorem. The square of the diagonal is the sum of the squares of the length and width:

  x² +y² = (y +2)²

__

Expanding the second equation, and subtracting y², we find ...

  x² +y² = y² +4y +4

  x² = 4y +4

Substituting for y using the first equation gives the quadratic ...

  x² = 4(2x +44) +4

  x² = 8x +180 . . . . . . . eliminate parentheses

  x² -8x +16 = 196 . . . . add 16 -8x to make perfect squares

  (x -4)² = 14²

We're only interested in the positive solution, so ...

  x = 4 +14 = 18 . . . . . . . . square root, add 4

  y = 2(18) +44 = 80

The dimensions of the rectangle are 18 inches wide by 80 inches long.

_____

Check

The diagonal is √(18² +80²) = √6724 = 82.

Answer:

A) d [tex]\geq[/tex] 5s + 9

Answer:

A. d ≥ 5s + 9

Step-by-step explanation:

Hence, equation will be :

The range of the required function f(x)  = -√-x is all real values less than or equal to 0.

The nature of the function is imaginary because of the negative sign present inside the root. Hence the range of the function exists only and only if the function gives real  values in each of its outcomes.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.

As per question
f(x) = -√-x
clearly, for each positive real number the function becomes imaginary.
So the domain of the given function lies  (-∞, 0).
and for every x in its domain function has its exists in range of all real values less than and equal to zero.

Thus, the range of the function f(x) ≤ 0.

learn more about function here:
https://brainly.com/question/21145944

#SPJ1



 
 

C and A

X = at least 45 and more

This means we need to have a full closed dot.

It's A because the question says more than 75 ft meaning only open dots.

She has 45% of the original amount left

Fractions are written as a ratio of two integers

Given the following

Initial amount. = ∈4000

Amount given to her sister = 1/4 * 4000 = 1000

Amount given to her brother = 40% of 3000 = 1200

Amount left = 4000 - (1000+1200)

Amount left = ∈1800

Determine the percentage left

x * 4000 = 1800

x = 1800/4000

x = 0.45

x = 45%

Hence she has 45% of the original amount left

Learn more proportion here: https://brainly.com/question/19994681

#SPJ1

Answer:

power of a power

Step-by-step explanation:

the power of a power law says that, "if a base raised to a power is being raised to another power, the exponents are multiplied and the base remains the same."

for example, for this problem, you would do:

[tex](x^4)^9\\= x^4^*^9\\= x^3^6[/tex]

Russell has to sell 270 cable packages to make the total pay of both the companies as same.

Suppose that Russell sells x cable packages such that the total pay of both the companies is the same.

Then the revenue Russell would make at the first company is $17000+20x

And, the revenue Russell would make at the second company is

$14300+30x

Since, the above two values are equal

so, 17000+20x=14300+30x

⇒17000-14300=30x-20x

⇒10x=2700

⇒x=270

The above problems are called mathematical modelling.

Mathematical modelling is the process of locating such equations to explain actual occurrences.

These formulae are referred to as mathematical models together with the definitions given to the variables.

Therefore, Russell has to sell 270 cable packages to make the total pay of both the companies as same.

Learn more about mathematical modelling here-

brainly.com/question/13170101

#SPJ10

Answer:

See below

Step-by-step explanation:

x = amount of 6% milk....   amount of fat = .06x

45-x = amount of 3% milk ...amount of fat = .03 (45-x)

Amount of fat in final mix of 45 quarts = .04 (45)

Inputs = output

.06x     +   .03(45-x)     =    .04(45)

.06x   +    1.35 - .03x     =  1.8

.03x = .45

x = 15   quarts of 6%      then  30  quarts of 3%

Answer:

  m∠K = 37° and n = 31

Step-by-step explanation:

A lot of math is about matching patterns. Here, the two patterns we want to match are different versions of the same Law of Cosines relation:

Comparing the two equations, we note these correspondences:

Comparing these values to the given information, we see that ...

Abby apparently knew that ∠K = 37° and n = 31.

__

Additional comment

Side and angle naming for the Law of Sines and the Law of Cosines are as follows. The vertices of the triangle are labeled with single upper-case letters. The side opposite is labeled with the same lower-case letter, or with the two vertices at either end.

Vertex and angle K are opposite side k, also called side NM in this triangle.

Answer:

5

Step-by-step explanation:

Using the binomial distribution, it is found that there is a 0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect, which means that it is a highly likely event.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

The values of the parameters are given as follows:

n = 20, p = 0.05.

The probability that 3 or fewer experienced insomnia as a side effect is given by:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

Hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.05)^{0}.(0.95)^{20} = 0.3585[/tex]

[tex]P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.3774[/tex]

[tex]P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.1887[/tex]

[tex]P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596[/tex]

Then:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9842[/tex]

0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect.

Since this probability is greater than 95%, this is a highly likely event.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1