given the parent function g(x)=log2(x), what is the equation of the function shown in the graph ?

Answer:

  (-5, -8)

Step-by-step explanation:

The expression can be divided by 2 to give ...

  x² +13x +40

The solutions to this will have a product of 40 and a sum of -13, the opposite of the x-coefficient. All of the offered choices have a product of 40, but only (-5, -8) has a sum of -13.

Answer:

$14,236

Step-by-step explanation:

25000 x 0.92 = 23000 = 1 Year

23000 x 0.92 = 21600 = 2 Years

19872

18282.24

16819.66

15474.09

14236 = 7 Years

The answer would be 14000

[tex]\frac{-5}{8} * \frac{2}{3}[/tex]

Multiply the top with the top and the bottom with the bottom:

[tex]\frac{(-5)*2}{8*3}[/tex]

[tex]\frac{-10}{24}[/tex]

Then you can simplify:

[tex]\frac{-5}{12}[/tex]

Hope this helped!

Answer:

-5/12

Step-by-step explanation:

Multiply the top of both fractions and the bottom of both fractions, -5*2=-10,8*3=24

so -10/24 can be simplified to -5/12

Given,

f(x)=4x^2-9

g(x)=2x+3

1.

(f+g)(x)=f(x) + g(x)

=4x^2-9+2x+3

=4x^2+2x-6

2.

(f-g)(x)=f(x)-g(x)

4x^2-9-2x-3

=4x^2-2x-12

when x=3, then,

f(3)=4×(3)^2-9=27

g(3)=2×3+3=9

5.

f(g(3))=f(9)=4×(9)^2-9

=312

5.

g(f(3))=g(27)=2×27+3=57

Answer:

listen to romap they are correct

Step-by-step explanation:

Answer:

B) x+y=120; 12x+20y=1720

Step-by-step explanation:

If variables are defined as ...

x = number of student tickets sold

y = number of adult tickets sold

then the problem statement can be modeled by ...

x + y = 120 . . . . . . the total number of tickets sold is 120

12x + 20y = 1720 . . . . . the total collected from ticket sales was $1720

___

Total revenue is the sum of the revenues from sales of each ticket type. The revenue from a given ticket type is the product of that ticket price and the number sold.

$10.50 a $1.25 is $9.75 then you do $800 / $9.75 which is 82.05 so we round up with any decimal and he would need to sell 83 pies to start making a profit.

Answer:

The value is 13

Step-by-step explanation:

You can notice that 48/12 is 4 and 20/5 is 4. Therefore, divide 52 by 4

The value of x is 13.

Two triangles are said to be similar when corresponding angles of both triangles are congruent and ratio of corresponding sides are in equal proportion.

Given that, sides of one triangle are 48, 52, and 20.

Sides of other triangle are,  12, x and 5

Since, corresponding sides are in the proportion.

                   [tex]\frac{48}{12}=\frac{20}{5}=\frac{52}{x} \\\\x=\frac{52}{4}=13[/tex]

Learn more about the Similarity of triangle here:

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Answer:

it measures spread around the mean. Because of its close links with the mean, standard deviation can be greatly affected if the mean gives a poor measure of central tendency. Standard deviation is also influenced by outliers one value could contribute largely to the results of the standard deviation.

Step-by-step explanation:

Answer with explanation:

Mean of a data set is defined as sum of all the observation divided by total number of observation.

For, example

Consider the Data set,the cost of five pens,={3,5,8,10,14}

Mean

      [tex]=\frac{3+5+8+10+14}{5}\\\\=\frac{40}{5}\\\\=8[/tex]

Now, Two pens having cost $ 47 and $ 53 is included in the Data set

New data set of Seven pens,={3,5,8,10,14,47,53}

   Mean

      [tex]=\frac{3+5+8+10+14+47+53}{7}\\\\=\frac{140}{7}\\\\=20[/tex]

So, you can see there is variation or Difference between two means.

We can conclude from above two results ,that mean is affected by outlier.

Answer:

20.9, rounded answer: 21 miles

Step-by-step explanation:

x= distance between the airport and Ann's home.

since Ann is paying $2.10 per mile let 2.10 be the coefficient

our equation:

5 is our constant since that's how much Ann trips the driver

since the total is equal to 49.10, that's what our equation will be equal to

2.10x+5=49.10

sub "5"

2.10x+5-5=49.10-5

2.10x=44

divide both sides by "2.10"

2.10/2.10x=44/2.10

x=20.9

we can round 20.9 to 21

I don’t know what the answer is I wish I could help

Answer:

Step-by-step explanation:

[tex]\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===============================[/tex]

[tex]\text{We have the equation}\ y=\dfrac{1}{3}x+6\to m_1=\dfrac{1}{3}.\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{3}}=-3.\\\\\text{We have the equation}\ y=-3x+b.\\\\\text{Put the coordinates of the point}\ (2,\ -3):\\\\-3=-3(2)+b\\-3=-6+b\qquad\text{add 6 to both sides}\\3=b\to b=3\\\\\text{Finally:}\\\\y=-3x+3[/tex]

given,

height of triangle(h)=3.5 in.

base of triangle (b)=4 in.

length of side of triangle(s)= 4 in.

length of prism(l)=9 in.

we have,

surface area of traingular prism( A)=bh+2ls+lb

=4×3.5+2×9×4+9×4

=14+72+36

=122 square inches

Answer:

They're right

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

I hope this helped it took so long to find.

Answer:

yes

Step-by-step explanation:

A rational number can be expressed in the form

[tex]\frac{a}{b}[/tex], where a, b are integers

6.610 can be expressed as

6 [tex]\frac{610}{1000}[/tex] = [tex]\frac{6610}{1000}[/tex] ← a rational number

6.610 is a rational number.

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Or in other words, any number that can be written as a ratio (or fraction) of two integers is a rational number.

Thus 6.610 is definitely a rational number as it satisfies the definition of a rational number.

We have, 6.610 = 661/100 which is expressed as the ratio of two integers.

Therefore, 6.610 is a rational number.

To learn more about rational number, refer -

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Answer:

None will be left.

Step-by-step explanation:

John needed 1000 Muffins a week for his party

Each person ate 100 Muffins

So there were [tex]\frac{1000}{100}[/tex] = 10 people in the party and they ate all the Muffins.

No Muffins were left over.

Answer:

3

Step-by-step explanation:

The number of dogs are 3 if the ratio of dogs to cats at the pet store's 1:3. If there are 6 more cats than Dogs.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

The ratio of dogs to cats at the pet stores is:

1:3

Let's suppose there are x dogs, then cats are 3x

3x = x + 6

2x = 6

x = 3

Thus, the number of dogs are 3 if the ratio of dogs to cats at the pet store's 1:3. If there are 6 more cats than Dogs.

Learn more about the ratio here:

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Answer:

Step-by-step explanation:

D is correct.  The area of the whole circle is (360/360)πr^2.  That of the unshaded sector is (theta/360)πr^2.

The expression which can be used to find the area of the shaded sector when the angle is measured in radians, is (θ/2)×r². Option A is correct.

Area of the circular sector is the space occupied by it. The area of the circular sector is the half of the product of angle of the sector and the radius of the circle.

When the angle is measured in degree it be given as,

Area of sector=(θπr²)/360

Here, r is the radius of the circle and θ is the angle of the sector.

When the angle is measured in radian it be given as,

Area of sector=(θ/2)×r²

Here, r is the radius of the circle and θ is the angle of the sector.

Hence, the expression which can be used to find the area of the shaded sector when the angle is measured in radians, is (θ/2)×r². Option A is correct.

Learn more about the area of a circular sector here;

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Answer:

 - The scientist can use these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

- The scientist can substitute these measurements into [tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex] and solve for the distance between the Sun and the shooting star (which would be the hypotenuse of the righ triangle).

Step-by-step explanation:

 You can observe in the figure attached that  "AC" is the distance between the Sun and the shooting star.

Knowing the distance between the Earth and the Sun "y" and the angle x°,  the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

 This is:

[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]

In this case:

[tex]\alpha=x\°\\\\adjacent=BC=y\\\\hypotenuse=AC[/tex]

Therefore, the scientist can substitute these measurements into [tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex] , and solve for the distance between the Sun and the shooting star "AC":

[tex]cos(x\°)=\frac{y}{AC}[/tex]

[tex]AC=\frac{y}{cos(x\°)}[/tex]

The scientist can use the two measurements by applying the knowledge of trigonometry, particularly Cosine (cos).

[tex]cos x = \frac{adjacent (y)}{hypotenuse (AC)}[/tex]

AC = [tex]\frac{y}{cos x}[/tex]

where the distance between the shooting star and the sun is AC

and the distance between Earth and Sun is BC = y

the right angled triangle has three sides

cosine (θ) = [tex]\frac{adj}{hyp}[/tex]

sine (θ) = [tex]\frac{opp}{hyp}[/tex]

tan (θ) = [tex]\frac{opp}{adj}[/tex]

where (θ) =  angle of interest

This is the branch of mathematics that is concerned with angles of triangles as well as the length of it's sides.

Read more on trigonometry: https://brainly.com/question/24349828

Thank you this is right

Answer:

a° = 118° , b° = 49° , c° = 144° , d° = 98°

Step-by-step explanation:

* Lets study the figure and take the information to solve the question

- There is a circle

- There is an inscribed triangle in the circle

- Each vertex of the triangle is an inscribed angle in the circle

- Each vertex subtended by an arc

- The measure of any inscribed angle is half the measure of its

  subtended arc

* Now lets solve the question

- The sum of the measures of the interior angles of a triangle is 180°

∵ The triangle has angle of measure 59° and another angle of

   measure 72°

∴ The measure of the third angle = 180° - (59° + 72°) = 49°

∵ b° is the measure of the third angle in the triangle

∴ b° = 49°

- The arc of measure a° is intercept the angle of measure 59°

∵ The measure of the angle is half the measure of the arc

∴ 1/2 a° = 59° ⇒ multiply both sides by 2

∴ a° = 118°

- The arc of measure c° is intercept the angle of measure 72°

∵ The measure of the angle is half the measure of the arc

∴ 1/2 c° = 72° ⇒ multiply both sides by 2

∴ c° = 144°

- The arc of measure d° is intercept the angle of measure 49°

∵ The measure of the angle is half the measure of the arc

∴ 1/2 d° = 49° ⇒ multiply both sides by 2

∴ d° = 98°

After 2 months, the gym memberships at Gym A and Gym B will cost the same amount, based on the membership cost equations of each gym.

We need to determine after how many months the total costs of gym memberships at Gym A and Gym B will be the same. The cost of a gym membership at Gym A is described by the equation C = 12m + 36, where C represents the total cost and m represents the number of months. For Gym B, the cost is given by the equation C = 20m + 20.

To find the number of months where the costs are equal, we set the two equations equal to each other:

12m + 36 = 20m + 20

Subtracting 12m from both sides gives us:

36 = 8m + 20

Subtracting 20 from both sides gives us:

16 = 8m

Dividing both sides by 8 gives us:

m = 2

Therefore, after 2 months, the total costs for gym memberships at both Gym A and Gym B will be the same.

The correct trigonometry formula  [tex]tan^{-1}[/tex] (71°) . Therefore ,  [tex]tan^{-1}[/tex](71°) is correct .

The correct trigonometry formula to use to solve for the given angle is the tangent formula.

This is because you are given the side opposite to the angle (48) and the side adjacent to the angle (34), and you need to solve for the angle itself (71°).

The tangent formula is:

tan(angle) = opposite / adjacent

In this case, you would have:

[tex]tan^-1[/tex] = 48 / 34

[tex]tan^-1[/tex] = 0. 708333  degree

[tex]tan^-1[/tex] = 0.71 degree

[tex]tan^-1[/tex]  (0.71)      

= 35.3112 degree.

Therefore, the correct answer is tan(71°).

the approximate height

Answer:b

Step-by-step explanation: I took the test

Answer:

Simplify 23x

.

Tap for more steps...

2x3−12=13+56x

Simplify 56x

Step-by-step explanation:

For this case we must solve the following equation:

[tex]\frac {2} {3} x- \frac {1} {2} = \frac {1} {3} + \frac {5} {6} x[/tex]

Subtract [tex]\frac {5} {6} x[/tex] on both sides of the equation:

[tex]\frac {2} {3} x- \frac {5} {6} x- \frac {1} {2} = \frac {1} {3}[/tex]

We add [tex]\frac {1} {2}[/tex] to both sides of the equation:

[tex]\frac {2} {3} x- \frac {5} {6} x = \frac {1} {3} + \frac {1} {2}\\\frac {12-15} {18} x = \frac {2 + 3} {6}\\\frac {-3} {18} x = \frac {5} {6}\\- \frac {1} {6} x = \frac {5} {6}\\[/tex]

We multiply by 6 on both sides of the equation:

[tex]-x = 5[/tex]

We multiply by -1 on both sides of the equation:

[tex]x = -5[/tex]

Answer:

[tex]x = -5[/tex]

Answer: 3/2 + i/2

Step-by-step explanation: Simplify and write eht enaswer in standard form, a + bi.

Hope this helps! :) ~Zane

Answer: 0.66 hours per mile

Step-by-step explanation:

You know that in 4 hours Addison walked 6 miles.

Now, you need to calculate the amount of hours she walked in 1 mile.

 Let be "x" the amount of hours she walked in 1 mile.

Then, to calculate the value of "x" you need to multiply 1 mile by 4 hours and divide by 6 miles:

[tex]x=\frac{(1mile)(4hours)}{6miles}\\\\x=\frac{2}{3}\ hours[/tex]

[tex]x[/tex]≈[tex]0.66\ hours[/tex]

Therefore, her walking rate in hours per mile was:

0.66 hours per mile

1, 3, 5

You can tell by looking that her science mean is greater than her math mean.

The higher range number means that her scores in math are more varied and spread out than her science scores.

You can tell by looking that the median scores are the same.

Answer:

A, C, E

Step-by-step explanation:

Answer:

5/36 (I won't repeat it 3 times :-) )

Step-by-step explanation:

We just have to calculate the ratio of times an action movie played in the las year, that should be a good indication of the chances for an action movie to be played next, since the reference data is quite large.  We're talking about a full year, no just a week or a month.

So, 15 action movies out of 108 movies...

The probability that next movie is an action movie is: 15 / 108 , or 5/36

That's roughly 1/7.

Answer:

15/108

Step-by-step explanation:

I did it and got it right.

Hope this helps:)

Answer:

0.75 I think

Step-by-step explanation:

Answer:

x-y-3=0

Step-by-step explanation:

The slope of the line that passes through the points (0,-3) and (3,0) is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\ \\=\dfrac{0-(-3)}{3-0}\\ \\=\dfrac{3}{3}\\ \\=1[/tex]

The equation of the line is

[tex]y=m(x-x_1)+y_1\\ \\y=1\cdot (x-0)+(-3)\\ \\y=x-3\\ \\x-y-3=0[/tex]

Answer:

simple random sampling

Step-by-step explanation:

Simple random sampling is the fundamental sampling technique in which a group of subjects is selected for a particular study from a larger group, the population. Each subject is chosen purely by chance and each individual of the larger group (population) has an equal probability of being included in our sample.