15 POINTS!!!!! suppose f(x)=x find the graph of f(x+2) please include what the graph would look like

Answer:  see below

Step-by-step explanation:

[tex]sin\ \theta=\dfrac{y}{r}=\dfrac{84}{85}\qquad \qquad \text{Quadrant I implies both x and y are positive}\\\\\\\\\text{Use Pythagorean Theorem to find x:}\\x^2+\ y^2=r^2\\x^2+84^2=85^2\\x^2\qquad =85^2-84^2\\x^2\qquad =169\\.\qquad x =13\\[/tex]

Input x = 13, y = 84, r = 85 into the trig functions:

[tex]\sin\ \theta=\dfrac{y}{r}=\large\boxed{\dfrac{84}{85}}\qquad \qquad \qquad \csc \theta=\dfrac{r}{y}=\large\boxed{\dfrac{85}{84}}\\\\\\\\\cos\ \theta=\dfrac{x}{r}=\large\boxed{\dfrac{13}{85}}\qquad \qquad \qquad \sec \theta=\dfrac{r}{x}=\large\boxed{\dfrac{85}{13}}\\\\\\\\\tan\ \theta=\dfrac{y}{x}=\large\boxed{\dfrac{84}{13}}\qquad \qquad \qquad \cot \theta=\dfrac{x}{y}=\large\boxed{\dfrac{13}{84}}[/tex]

Answer: Running speed is 10k/h

Biking speed is 50k/h

Step-by-step explanation:

My procedure may be unconventional, but it works:

Compute the time it takes, then translate to speed. 25k at biking speed takes 2 hours less than at running speed which is 1/5 bike speed.

Distance/speed = time  25/x=25/(5x-2)  cross multiply divisors

25(5x-2) = 25x  ==> 125x -50 =25x ==>  100x = 50  

x = 0.5 hours at biking speed   25k/0.5h = 50k/h  

Running speed = 50/5  10k/h

Proof: 25k/ 10k/h = 2.5 hours

25k /50k/h = 0.5 hours  

2.5 h - .5 h = 2 hours, the difference stated in the question.

Answer:

I hope it will help you :)

Answer:

4 is the largest number that is common to both 32 and 44.  Factoring it out looks like this: 4(8 + 11) = 4(8 + 11).  That's weird to me but all textbooks begin that process just that same way.

Step-by-step explanation:

Greatest common factor of 32 and 44 is 4:

32/4 = 8

44/4 = 11

Factor 4 out of the equation 32 + 44 =

The factored form would be 4(8 + 11)

Answer:

The answer is 132

Step-by-step explanation:

The percentage of homes will have a monthly utility bill of more than $109 is approximately 84%

Suppose that the considered data set is x bar.

Then, its standard deviation is the positive square root of the variance of this data set. Variance of data set is the sum of squared differences of the data values from its mean to the total count of data values.

We are given that Mean, m = $92

Standard deviation, s = $13

Now, we have to find calculate percentage of homes will have a monthly utility bill of more than $79 i.e P(X > 79)

Also, P( X > 79) = 1 - P( X < 79)

Z-score for (X = 79 )

Z = -1

From the standard Z value vs P table, we have;

P( Z < -1 ) = 0.1587

Thus,

P( X < 79) = P( Z < -1 ) = 0.1587

therefore,

P(X > 79) = 1 - 0.1587

P(X > 79) = 0.8413

= 0.8413 × 100%

= 84.13%

Hence, the option d) is approximately 84%

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Answer:

B

using SOHCAHTOA

COS THETA WILL BE EQUALS TO ROOT 5/3 AND TAN THETA WILL BE EQUALS TO 2ROOT 5/3

Answer:

B.

Step-by-step explanation:

First, note that since [tex]sin(\theta)=2/3[/tex], this means that the opposite side is 2, the hypotenuse is 3, and the last, adjacent side is [tex]\sqrt{5\\[/tex].

Also note that we are told that [tex]sec(\theta)<0[/tex]. This means that [tex]\theta[/tex] cannot be in quadrants 1 nor 4 because (remember All Students Take Calculus?) in those quadrants cosine and secant are positive. Also, we know that sine is positive so we can conclude that [tex]\theta[/tex] is in the second quadrant.

In the second quadrant, sine is positive, cosine is negative, and tangent is negative. Now we can answer the question. We already know the side lengths: opposite=2, adjacent=[tex]-\sqrt{5}[/tex] (because it's in Quadrant II), and hypotenuse=3.

Therefore...

[tex]cos(\theta)=-\sqrt{5} /3[/tex]

[tex]tan(\theta)=2/(-\sqrt{5})=-(2\sqrt{5}/5)[/tex]

Answer: B. False

Step-by-step explanation:

It does not follow the Pythagorean Theorem (a^2 + b^2 = c^2)

The sum of the two legs (shorter sides) squared would have to equal the hypotenuse (longest side) squared in order to form a right triangle.

5^2 = 25

6^2 = 36

25 + 36 = 61

8^2 = 64

61 < 64

Answer:

the value of k is 7

Answer:

She didn't do the multiplication of 7 times the fraction 5/8 by using distributive property.

so the correct answer is the one that looks like:

Seven was not multiplied by StartFraction 5 over 8 EndFraction.

in your list of options.

Step-by-step explanation:

If one has a stack of seven books each [tex]2\frac{5}{8} \,\,in[/tex] thick, one should first convert the mixed number to an addition of an integer plus a fraction

[tex]2\frac{5}{8} =(2+\frac{5}{8})[/tex]

as she did, and then multiply 7 by the addition, making sure to use distributive property and multiply both terms:

[tex]7\,\,(2+\frac{5}{8})=7\,*\,12+7\,*\,\frac{5}{8}=14+\frac{35}{8}[/tex]

and she didn't do the multiplication of 7 times the fraction 5/8

Answer:

x=11

Step-by-step explanation:

(x-3)/2=(x+1)/3

multiply (x-3)(3) and 2(x+1)

3(x-3)=2(x+1)

3x-9=2x+2

Get the variables on one side and numbers on another

3x-2x=3+9

x=11

Answer:

Step-by-step explanation:

[tex] \frac{(x - 3)}{2} = \frac{x + 1}{3} [/tex]

Multiply through by the LCM

The LCM of 2 and 3 is 6

So we have

[tex]6 \times \frac{ x - 3}{2} = 6 \times \frac{x + 1}{3} [/tex]

Simplify

[tex]3(x - 3) = 2(x + 1) \\ \\ 3x - 9 = 2x + 2[/tex]

Group like terms and simplify

That's

[tex]3x - 2x = 2 + 9 \\ \\ \\ \\ x = 11[/tex]

Hope this helps you

Answer:

The roots for the given equation are -8 and 3.

Step-by-step explanation:

The first thing we must do in order to find the roots is factor the equation. We can do this by first multiplying the first and last term together. Then, we find the factors of that product that multiply together to that product but also adds together to get the middle term in the equation.

x² * -24 = -24x²

-24x² = 8x * -3x

Now, we write our new equation by replacing 5x with 8x - 3x.

x² + 8x - 3x - 24

Group the first and second terms together and also group the last two terms together.

(x² + 8x) + (-3x - 24)

Factor each parentheses. You will know that you factored them correctly when the two terms in the final parentheses are the same.

x(x + 8) -3(x + 8)

Since the two terms in the parentheses are the same, hen we have correctly factored out the equation. Now, we form the equation so we can find the roots.

(x - 3)(x + 8)

Now, equal each term in the parentheses to zero.

x - 3 = 0

x + 8 = 0

Now, solve for x in each equation. The final answer for each equation will be our roots. The roots are the values of x in a quadratic equation.

x = 3

x = -8

So, the roots of this equation are {-8, 3}

Answer:

7x^2 -28x +28

Step-by-step explanation:

7(x - 2)^2

7 ( x-2)(x-2)

Foil

7 ( x^2 -2x-2x+4)

Combine like terms

7( x^2 -4x+4)

Distribute

7x^2 -28x +28

Answer:

  [tex]\dfrac{1}{7x-14}[/tex]

Step-by-step explanation:

Perhaps you want to simplify ...

  [tex]\dfrac{x-2}{7(x-2)^2}=\dfrac{x-2}{x-2}\cdot\dfrac{1}{7(x-2)}=\boxed{\dfrac{1}{7x-14}}[/tex]

Answer:29 ft by 58 ft

Step-by-step explanation:

Answer:

D

Please Give Brainliest

Step-by-step explanation:

Meant to put the 4th option

Answer:

D:10

Step-by-step explanation:

find hyp. first

sin 45=opp/hyp.

√2/2=10/hyp.

hyp.=20/√2 0r 10√2

Pythagorean theorem: a²+b²=c²

now find x²=(10√2)²-10²

x²=200-100

x²=100

x=√100=10

Answer:

Distance between the two parallel lines

                            [tex]d = \frac{4}{\sqrt{34} } = 0.6859[/tex]

Step-by-step explanation:

Step(i):-

Given the two equations are 3 x - 5 y =   1   ...(i)

and                                           3 x - 5 y = - 3....(ii)

Distance between the two parallel lines

                                             [tex]d = \frac{|C_{1} - C_{2} | }{\sqrt{a^{2}+b^{2} } }[/tex]

Given equations

                         a = 3 , b = -5 and C₁ = 1 and C₂ = -3

Step(ii):-

Distance between the two parallel lines

                                             [tex]d = \frac{|C_{1} - C_{2} | }{\sqrt{a^{2}+b^{2} } }[/tex]

                                             [tex]d = \frac{|1 - (-3)| }{\sqrt{9+25 } }[/tex]

                                             [tex]d = \frac{4}{\sqrt{34} }[/tex]

Final answer:-

Distance between the two parallel lines

                            [tex]d = \frac{4}{\sqrt{34} }[/tex]

Answer:

The Answer is C. The person above is almost correct, but they did not simplify to 2sqrt34/17

Step-by-step explanation:

Answer:

65 dm and 52 dm

Step-by-step explanation:

If the scale factor of the sides is k, then the scale factor of the areas is k^2.

The scale factor of the areas is (32 dm^2)/(50 dm^2) = 0.64 = k^2

The scale factor of the sides is k = \sqrt(0.64) = 0.8

The perimeters are in a ratio of 1:0.8

x + 0.8x = 117

1.8x = 117

x = 65

0.8x = 0.8(65) = 52

The perimeters are 65 dm and 52 dm.

Answer: 871.72 + (0.3926........x 42)

Step-by-step explanation: 23.56 x 37= 871.72

23.56/60= 0.3926................... x 42

Henry earns $887.61 after working for 37 hours and 42 minutes.

To calculate how much Henry earns after working for 37 hours and 42 minutes, we need to convert the minutes into decimal form.

Since there are 60 minutes in an hour, we can convert 42 minutes to hours by dividing it by 60:

42 minutes ÷ 60 = 0.7 hours

Now, we add the converted minutes to the total hours worked:

37 hours + 0.7 hours = 37.7 hours

Finally, we multiply the total hours worked by the hourly wage to find Henry's earnings:

Earnings = Hours worked × Hourly wage

Earnings = 37.7 hours × $23.56/hour

Calculating:

Earnings = $887.612

Therefore, Henry earns $887.61 after working for 37 hours and 42 minutes.

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Answer:

x = 11

Step-by-step explanation:

The Frequency column has to total 50 ( number of rolls on dice )

Thus total the given frequencies and equate to 50, that is

12 + 8 + 7 + 3 + 9 + x = 50

39 + x = 50 ( subtract 39 from both sides )

x = 11

Answer:

x=11

Step-by-step explanation:

12+8+7+3+9=39

50-39= 11

Answer:

The coordinates of S is [tex]( \frac{-3}{4}, \frac{1}{2})[/tex]

Step-by-step explanation:

We are supposed to find the coordinates of point S

Point S is 0.75 units to the left

So, x coordinate of point S = -0.75 = [tex]\frac{-3}{4}[/tex]

Now we are given that point S is 0.5 units up.

So, y coordinate of point S = 0.5 = [tex]\frac{1}{2}[/tex]

So, The coordinates of S is [tex]( \frac{-3}{4}, \frac{1}{2})[/tex]

So, Option A is true .

Answer:

A -3/4,1/2

Step-by-step explanation:

good luck:)

Answer:

The answers are B) Right and A) Isosceles

Answer:

Right

Isosceles

Step-by-step explanation:

Two sides are the same length so it is an isosceles triangle

It has a right angles as indicated by the box so it is a right triangle

Answer:

Step-by-step explanation:

Hello!

a)

To compare both datasets I've made a box plot for them.

The yellow one belongs to the points scored by the men and the green one is for the points scored by the women.

Women: The box seems symmetrical, the median and the mean (black square) are almost the same. The whiskers are almost the same length, you could say that in general the points scored by the women have a symmetrical distribution.

Men: The box looks a little skewed to the right, the median is closer to the 1st quantile and the mean is greater than the median. The whiskers are the same length, in general the distribution seems almost symmetrical.

b)

As you can see in the box plot  the median and mean of the points scored by the women are almost the same. Using the data I've calculated both values:

Me= 24.50

X[bar]= 23.80

The median divides the sample in halves (50-50),  it shows you where the middle of the distribution is.

The average shows you the value that centers the distribution, meaning, it is the value around which you'll find most of the data set. It summarizes best the sample information and therefore is a better measure of center.

c.

As you can see in the box plots, there are no outliers in both distributions.

An outlier is an observation that is significantly distant from the rest of the data set. They usually represent experimental errors (such as a measurement) or atypical observations. Some statistical measurements, such as the sample mean, are severely affected by this type of values and their presence tends to cause misleading results on a statistical analysis.

Considering the 1st quartile (Q₁), the 3rd quartile (Q₃) and the interquartile range IQR, any value X is considered an outlier if:

X < Q₁ - 1.5 IQR

X > Q₃ + 1.5 IQR

Or extreme outliers if:

X < Q₁ - 3 IQR

X > Q₃ + 3 IQR

For the women data set:

Q₁= 17; Q₃= 30; IQR= 30 - 17= 13

Lower outliers: X < Q₁ - 1.5 IQR= 17-1.5*13= -2.5 ⇒ The minimum value recorded is 03, so there are no outliers.

Upper outliers: X > Q₃ + 3 IQR= 30 + 1.5*13= 49.5 ⇒ The maximum value registered is 41, so there are no outliers.

I hope this helps!

Answer: 8x + 6a

Step-by-step explanation: Combine your "x" terms and your "a" terms.

So 3x + 5x is 8x and 2a + 4a is 6a.

So the answer is 8x + 6a.

Answer:

Step-by-step explanation:

 from the graph we see that :

So our mission now is to find the expression of f(x)

let's try the four given expressions

f(4)=(4∧4)-4

     = 256-4

      = 252

this not the expression of f

f(4)=(x+4)∧4

      = 4096

again this is not the expression

f(4)=(x∧4)+4

     = 260

This is not the expression .

let's try the last one

f(4)= (4-4)∧4

     = 0

that s true .

We found the expression .

Let's check by drawing the function

I remember answering the same question, but you didn't attach any photos. But I remember that the answer is the first one.

I hope I helped. Stay safe and God bless!

- Eli <3

Answer:

The First One

Vote for Brainless

Hey there! :)

Answer:

m∠y = 55°.

Step-by-step explanation:

Begin by solving for x since y and x are supplementary angles.

Recall that all of the angles in a triangle must sum up to 180°. Therefore:

180 - 30 - 25 = 125°.

x = 125°, therefore:

180 - 125 = 55°.

m∠y = 55°.

Answer:

55 Degrees

Step-by-step explanation:

The remote interior angle theorem states that to find the value of and exterior angle (y) you need to add the two remote interior angles. (25&30)

Answer:

[tex]P = \frac{5}{282} = 0.0177[/tex]

Step-by-step explanation:

First we need to find the total amount of apples in the crate:

Total = 10 + 14 + 4 + 18 = 46 apples

The probability of the first apple being a golden delicious apple is the number of those apples over the total number of apples:

[tex]P(golden) = \frac{N(golden)}{N(total)}[/tex]

[tex]P(golden) = \frac{4}{48} = \frac{1}{12}[/tex]

Then, the probability of the second apple being a granny Smith apple is the number of those apples over the total number of apples, but now the total number of apples is one less, because one apple was removed from the crate:

[tex]P(granny) = \frac{N(granny)}{N(total)-1}[/tex]

[tex]P(granny) = \frac{10}{47}[/tex]

The final probability we want is the product of those two probabilities:

[tex]P = P(golden) * P(granny) = \frac{1}{12} \frac{10}{47} = \frac{10}{564} = \frac{5}{282}= 0.0177[/tex]

Answer:

The answer is "Option A"

Step-by-step explanation:

Given:

[tex]\to \frac{(a-5)+a}{2}=x.....(a)\\\\\to \frac{a+(a+9)}{2}=y.....(b)\\\\[/tex]

solve the above equation:

[tex]\to \bold{\frac{(a-5)+a}{2}=x}\\\\\to \frac{a-5+a}{2}=x\\\\\to \frac{2a-5}{2}=x\\\\\to \bold{\frac{a+(a+9)}{2}=y}\\\\\to \frac{a+a+9}{2}=y\\\\\to \frac{2a+9}{2}=y\\\\[/tex]

add both value (x and y):

[tex]\to \bold{x+y}\\\\\to \frac{2a-5}{2}+\frac{2a+9}{2}\\\\\to \frac{2a-5+2a+9}{2}\\\\\to \frac{4a+4}{2}\\\\\to \frac{2(2a+2)}{2}\\\\\to (2a+2)\\[/tex]

average of x and y:

[tex]\to \frac{x+y}{2}\\\\\therefore \bold{x+y= 2a+2}\\\\\to \frac{2(a+1)}{2}\\\\\to \boxed{(a+1)}\\[/tex]

Answer:

A

Step-by-step explanation:

it includes all numbers

Answer:  proof below

Step-by-step explanation:

Use the Difference formula for sin:

  sin (A - B) = sin(A)·cos(B) - cos(A)·sin(B)

sin (180° - θ) = sin(180°)·cos(θ) - cos(180°)·sin(θ)

                    =       0  · cos(θ)    -      -1  · sin(θ)

                    =              0           -           -sin(θ)

                    =                         + sin(θ)

sin (180° - θ) = sin(θ)  [tex]\checkmark[/tex]