The graphs below have the same shape. What is the equation of the blue
graph?
g(x) =____
f(x) = x² 5
-5
-5
O A. g(x) = (x + 2)²
OB. g(x)=(x-2)²
O c. g(x)²2-2.
OD. g(x)=x² +21
X
g(x) = ?
5

The simplified equation equivalent to the total distance in miles is given as,

[tex]x^{2} +5x[/tex]

What is the equation representing the total distance?

It is given that in a road test of a geared bike,

The distance covered on a flat road = (3x - 2)

The distance covered uphill = (x² - 5)

The distance covered downhill = (2x + 7)

Total distance covered in miles as equation,

(3x - 2) + (x² - 5) + (2x + 7)

= 3x - 2 + x² -5 + 2x + 7

= 5x - 7 + x² + 7

= x² + 5x

Thus, the final equation representing the total distance covered in miles by the bike is (x² + 5x)

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The computation shows that the number of ways that this can be done is 64.

From the information given, it's was stated that a 3x2 flag is divided into six squares and that each square is to be coloured green or blue.

In this case, the number of ways that this can be illustrated will be:

= 2^n

= 2^6

= 64

Therefore, there are 64 ways.

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It would take 1.5 seconds for the diver standing on a spring board 24 feet above the pool to hit the water.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that d represent the height of the diver above the water and t is the time in seconds.

d(t) = -16(2t - 3)(t + 1)

The diver hit the water at d(t) = 0, hence:

0 = -16(2t - 3)(t + 1)

2t - 3 = 0; or t + 1 = 0

t = 1.5 seconds

It would take 1.5 seconds for the diver standing on a spring board 24 feet above the pool to hit the water.

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Hello and Good Morning/Afternoon!

To determine whether a sequence is arithmetic or geometric:

   ⇒ must consider their definitions

Let's test out this sequence to see what kind of sequence it is:

             3 ⇒ 4, 3 + 1  

             4 ⇒ 7, 4 + 3

             7 ⇒ 11, 7 + 4

              NOT AN ARITHMETIC SEQUENCE

              3 ⇒ 4,  3 * (4/3)

              4 ⇒ 7,  4 * (7/4)

              7 ⇒ 11,  7 * (11/7)

               NOT AN GEOMETRIC SEQUENCE

Answer: Neither arithetic nor geometric

Hopefully that helps!

Answer:

-30

Step-by-step explanation:

The scuba driver is below the sea and ground level which is 0 ft, and he dives down 30 ft so it should be negative.

Hope it helps!

Answer:

8π ft

Step-by-step explanation:

Arc length = 2πr ( θ / 360 )

Here,

θ = 90

r = 90 ft

Arc length = 2πr ( θ / 360 )

Arc length = ( 2π * 16 ) ( 90 / 360 )

                 = ( 2π * 16 ) ( 1 / 4 )

                 = ( 2π * 16 )/4

                 = 2π * 4

Arc length = 8π ft

Answer:

B

Step-by-step explanation:

the arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{90}{360}[/tex]

     = 2π × 16 × [tex]\frac{1}{4}[/tex]

    = 2π × 16 × [tex]\frac{1}{4}[/tex]

    = 32π × [tex]\frac{1}{4}[/tex]

   = 8π ft

Based on trigonometric formulas, we can find that the options that applies to the given trigonometric relationship are tan θ = 5/12 and cos θ = 12/13.

There six trigonometric functions, which are related by a group of expressions, which will be used in this question:

[tex]\cos \theta = \frac{1}{\sec \theta} = \frac{12}{13}[/tex]

[tex]\sin \theta = \sqrt{1 - \cos^{2}\theta}[/tex]

[tex]\sin \theta = \sqrt{1 -\left(\frac{12}{13} \right)^{2}}[/tex]

[tex]\sin \theta = \frac{5}{13}[/tex]

[tex]\csc \theta = \frac{1}{\sin \theta} = \frac{13}{5}[/tex]

[tex]\tan \theta = \sqrt{\sec^{2}\theta - 1}[/tex]

[tex]\tan \theta = \sqrt{\left(\frac{13}{12} \right)^{2}-1}[/tex]

[tex]\tan \theta = \frac{5}{12}[/tex]

Based on trigonometric formulas, we can find that the options that applies to the given trigonometric relationship are tan θ = 5/12 and cos θ = 12/13.

The statement is incomplete. Complete form is shown below:

Check all that apply:

If sec θ = 13/12, then:

a) sin θ = 12/13

b) tan θ = 5/12

c) cos θ = 12/13

d) csc θ = 12/13

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Answer:

240 students

Step-by-step explanation:

     To find the minimum number of students, we have to find the LCM of 10, 12, 16

10 = 2 * 5

12 = 2 * 2 * 3

16 = 2 * 2 * 2 * 2

LCM = 2 * 2 *  2 * 2 * 3 * 5

       = 240

There are 84 sets of pictures she can post on her wall.

Since Alyssa has taken a picture with every single athlete individually. It means she has taken 9 pictures.

Now she wants to post 3 pictures on her wall.

We need to use Combination for arranging pictures. A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, we can select the items in any order.

Therefore, The number of different sets of pictures = Selecting 3 pictures from a set of 9 pictures

9C3  =  (9!)/((9-3)!*3!)

(9*8*7)(3*2*1)= 84 ways

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Answer:

the smallest number of people that could be in his group with the possibility of it being less than five people, will be three people.

7.2 percent of the area of the original hexagon was removed

The area of hexagon is the region that lies within the sides of the hexagon. A hexagon is a two-dimensional shape that has 6 sides, 6 angles, and, 9 diagonals, and the sum of its interior angles is 720°

Area of the hexagon = (3√3 s2)/2, where 's' is the length of the side of the hexagon.

Her, We have

[tex]\(1-2s=s\sqrt3, 1=2s+s\sqrt3, 1=s(2+\sqrt3), s=\frac{1}{2+\sqrt3}\)[/tex]

Rationalize the denominator to get [tex]\(s=2-\sqrt3\)[/tex]

The area of the hexagon is  [tex]\(\frac{3\sqrt3}{2}\)[/tex]  and the dodecagon is [tex]\(\frac{3s^2\sqrt3}{2}\).[/tex]

The deleted area is [tex]\(s^2=0.072=7.2%\)[/tex] percent

Formula used:

Area = (3√3 s2)/2

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The proof does the fourth statement and reason represent It is an argument.

AB≅ BC and BC≅EF

 a = b  and b = c then, a =c

ABC is the side of the triangle

⇒AB≅EF

AB = EF                               [def of  segment]

By Segment Addition Postulate states that given  two points A and C, and a third point B lies on the line segment AC if and only if the distances between the  points satisfy the equation

AB + BC = AC.

Since, the line segment EG, F lies on the line segment;

then, by segment addition postulates we have;

EG = EF + FG

By substitution AB=EF

⇒ EG = AB + FG                    hence proved!

In the fourth statement, the reason is:  It is an argument.

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The information given about fables and myths is correct. Therefore, the correct option is true.

It should be noted that a fable simply illustrates a story that's considered false or fictional.

In this case, fable derives from the Latin word fabula, which originally meant about the same as the Greek mythos.

Myths are typically not presented as fictitious or untrue. Therefore, the correct option is true.

Complete question:

The word fable derives from the Latin word fabula, which originally meant about the same as the Greek mythos. Like mythos, it came to mean a fictitious or untrue story. Myths, in contrast, are not presented as fictitious or untrue. Fables, like some myths, feature personified animals or natural objects as characters. True or false.

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Answer:

im gonna say circle or even a hour glass

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:  

Experimental Probability = 1/3

Theoretical Probability = 1/6

========================================================

Explanation:

Count how many times the number "2" shows up in the "Result" column. There are 4 instances of this value. This is out of 12 trials total.

Divide the two numbers to get 4/12 = 1/3 as the experimental probability

-------------

In contrast, the theoretical probability is 1/6 because there's 1 side labeled "2" out of 6 sides total.

The decimal form of each fraction is:

1/3 = 0.333 approximately

1/6 = 0.167 approximately

Researchers hypothesize that the first self-replicating molecule may have been RNA. This is known as the RNA world hypothesis.

Life likely evolved between 3.53.53, point 5 and 3.93.93, point 9 billion years ago, when the Earth formed around 4.54.54, point 5 billion years ago.

According to the Oparin-Haldane hypothesis, "building blocks" like amino acids initially formed and then came together to form complex polymers as life gradually evolved from inorganic molecules.

The first proof that organic molecules required for life might be created from inorganic elements was supplied by the Miller-Urey experiment.

The RNA world hypothesis, which contends that RNA was the primordial form of life, is backed by certain scientists. Others support the concept that metabolic networks come before DNA or RNA.

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The sequence of transformation is; B. A translation 2 units to the right and 1 unit up followed by a counter-clockwise rotation 90° about the origin.

From the given image in the transformation, we can see that the pre image which is the original image is on the right hand side while the image after transformation is on the left hand side.

Now it will be noticed that in the pre image, all the x and y coordinates are positive while the image after transformation has all the x-coordinates as negative with the y-coordinates as positive.

This transformation when critically examined is seen to be a translation 2 units to the right and 1 unit up followed by a counter-clockwise rotation 90° about the origin.

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Answer: its B

Step-by-step explanation:

Answer:

28 legs are on the floor once again

There are no legs on the floor.

Hence answer is zero.

According to the question,

For 2 dogs: Each dog has 4 legs.

Therefore, 2 dogs have a total of 8 legs.

For 4 horses: Each horse has 4 legs.

Therefore, 4 horses have a total of 16 legs.

For 1 giraffe: A giraffe has 4 legs.

For 1 duck: A duck has 2 legs.

For 3 hens: Each hen has 2 legs.

Therefore, 3 hens have a total of 6 legs.

To get the total number of legs on the bed,

we simply add up all the legs of the animals on the bed,

⇒ 8 legs + 16 legs + 4 legs + 2 legs + 6 legs = 36 legs.

Now, to get the number of legs on the floor,

We need to subtract the number of legs on the bed from the total number of legs of all the animals,

For 2 dogs with a total of 8 legs.

For 4 horses with a total of 16 legs.

For 1 giraffe with 4 legs.

For 1 duck with 2 legs.

For 3 hens with a total of 6 legs.

So, the total number of legs of all the animals is,

⇒ 8 legs + 16 legs + 4 legs + 2 legs + 6 legs = 36 legs.

Since all the animals are on the bed,

There are no legs on the floor.

Therefore, the answer is 0 legs on the floor.

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Answer:

Step 2: it should be P - 2x, not P + 2x.

Step-by-step explanation:

The first function isn't decreasing over the largest interval, so the box in the wrong spot is the first one.

Here we have 3 cubic functions.

A function is decreasing when reading from left to right, the curve goes downwards.

Now, if you look at the graph, you can see that the interval where the function decreases is really small (the graph is small so I can't see the exact interval).

While if you look at g(x), you can see that, at least in the interval [-2, 2] the function is decreasing.

So the box in the wrong spot is the first box.

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Answer:

Step-by-step explanation:

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

By solving this equation we can get:

[tex]x=1 \\x=-1 (Impossible)[/tex]

∴

The value of the x will be equal to 1.

The section of the zoo is a right triangle. The new path is in front of the right angle, therefore it is the hypotenuse. To find the length of the hypotenuse we use the Pythagorean theorem:

H² = P² + B²

Given that the hypotenuse is of length 2 and legs of length x+1 and x-1. The value of x will be calculated as:-

H² = P² + B²

2² = ( x + 1 )² + ( x - 1 )²

4 = ( x² + 2x + 1 ) + ( x² - 2x + 1 )

4 = 2x² + 0 + 2

4 - 2 = 2x²

x = √1 = ±1

x = 1  and x = -1 ignore negative value.

Therefore, the value of the x will be equal to 1.

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Answer: No she'll need atlease 9 dollars

Step-by-step explanation:

48.95 x 18% is 8.811 which is greater than

Polygon ABCD was dilated by a scale factor of 3/2 to form polygon A'B'C'D'. The scale factor used was 3/2. The length AB is 2 and the length A'B' is 3.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.

Dilation is the increase or decrease in the size of a figure.

[tex]AB=\sqrt{(4-2)^2+(-2-(-2))^2}=2\ units[/tex]

Polygon ABCD was dilated by a scale factor of 3/2 to form polygon A'B'C'D'. The scale factor used was 3/2. The length AB is 2 and the length A'B' is 3.

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Answer:

A, B, and D

Step-by-step explanation:

yw enjoy summer

Option c. The range of window for the data is given as 0 Less-than-or-equal-to x Less-than-or-equal-to 20, 0 Less-than-or-equal-to y Less-than-or-equal-to 20

We have the equation to be

y = −3x + 17,

and y = 5x - 23

We have to make the two equations to be equal

This would then give us

−3x + 17 = 5x - 23

The next step is to take the like terms

3x - 5x = -23-17

-2x = -40

From you we have to divide by -2

x = 20

The range would be written as

0 ≤ x ≤ 20, 0 ≤ y ≤ 20

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Answer:

60 degrees

Step-by-step explanation:

Since all three sides are the same length, all three angles must be the same size.  This means the triangle is an equilateral triangle

The angles are 60 degrees

Answer:

Hello! The answer is 60°.

Step-by-step explanation:

As marked by the dashes on each side, the sides are congruent. If the sides are congruent, this means that the angle measures are equal.

Having three equal sides is an equilateral triangle, and the total angle measure sum is 180.

To find the measure of angle y, you will have to divide the total angle measure by the number of angles:

180 ÷ 3 = 60

The measure of angle y = 60°

Answer:

-2 2/3

Step-by-step explanation:

3+(-5 and 2/3)=3-5 2/3= -5 2/3+3=-2 2/3

The sum of two numbers is [tex]-2\frac{2}{3}[/tex] .

To add fractions there are three simple steps:

Step 1: Make sure the bottom numbers (the denominators) are the same. Step 2: Add the top numbers (the numerators), put that answer over the denominator.

Step 3: Simplify the fraction (if possible)

Given that, 3+([tex]-5\frac{2}{3}[/tex])

= 3-17/3

= (9-17)/3

= -8/3

= [tex]-2\frac{2}{3}[/tex]

Therefore, the sum of two numbers is [tex]-2\frac{2}{3}[/tex] .

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The probability that the mean weight of the sample babies would be less than 3631 grams is 0.1591 or 15.91%.

The mean weight of the babies (μ) = 3685 grams.

The variance (σ²) = 330625.

Therefore, the standard deviation (σ) = √330625 = 575.

The sample size (n) = 113.

The sample mean = μ - 3685 grams.

The sample standard deviation (s) = σ/√n = 575/√113 = 54.09145.

We are asked to find the probability that the mean weight of the sample babies is less than 3631 grams, that is,

P(X < 3631)  = P(Z < {(3631 - 3685)/54.09145})

Using the formula: Z = (x - μ)/s,

or, P(Z < -0.9983) = 0.1591 or 15.91%.

From the table of area under the z-score.

P(X < 3631) can also be calculated using calculator function:

Normalcdf(-100000000,3631,3685,54.0195), which gives the value 0.1591 or 15.91%.

Thus, the probability that the mean weight of the sample babies would be less than 3631 grams is 0.1591 or 15.91%.

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The cone has a greater height because the bases are the same, but the volume of the cylinder is less than 3 times the volume of the cone.

The volume of a cylinder is three times that of a cone.

Volume of a cylinder = πr²h

Volume of a cone = 1/3πr²h

If the height of the cylinder would be greater than that of the cone, the volume of the cylinder should be at least 3 times that of the cone.

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No, the friend is not correct.

The equation of a line is a single b of numerous points on the line. The general form of the equation of a line is of the form ax + by + c = 0 and any point on the line satisfies this equation.

slope= 2/4= 1/2

Now,

y-(-2)= 1/2(x-0)

y+2= 1/2x

y= 1/2x - 2

Hence, the equation is incorrect.

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