Ann wants to create a design to decorate her Geometry binder. She reflects part of the design across line p and then reflects the image across line n. Describe a single transformation that moves the part of the design from its starting position to its final position A. rotation of 180° about the origin B. translation along the line p= n C. rotation of 90° about the origin D. reflection across the line

Answer:

There are 15 friends

Step-by-step explanation:

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) in the same proportion, the rule of three applies as follows:

a ⇒ b

c ⇒ x

Then: [tex]x=\frac{c*b}{a}[/tex]

where a, b and c are known values ​​and x is the value to be calculated.

In this case, the rule of three applies as follows: if 1/20 of a ton is the weight of 1 person, 3/4 of a ton is the weight of how many people?

[tex]number of people =\frac{\frac{3}{4} of a ton*1 person }{\frac{1}{20} of a ton}[/tex]

or, what is the same,

number of people* [tex]\frac{1}{20}[/tex] = [tex]\frac{3}{4}[/tex]

Solving:

number of people= 15

There are 15 friends

Answer:

f^-1(x)=x-3/2

Step-by-step explanation:

we have f(x)=2x+3

let

y=f(x)

y=2x+3

Exchanges the variables x for y and y for x

x=2y+3

isolate the variable y

2y=x-3

y=x-3/2

let

f^-1(x)=y

f^-1(x)=x-3/2

Answer:

Step-by-step explanation:

The answer is B on Edgenuity

f^-1 (x) = 1/2x - 3/2

Answer:

C

Step-by-step explanation:

Just took it

your correct answer is C

(0.80)

Answer:

(4,2)

Step-by-step explanation:

[tex]Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(8,\:5\right),\:\\\left(x_2,\:y_2\right)=\left(0,\:-1\right)\\\\=\left(\frac{0+8}{2},\:\frac{-1+5}{2}\right)\\\\= (\frac{8}{2} , \frac{4}{2} )\\\\Simplify\\=\left(4,\:2\right)[/tex]

Answer:

(4,2)

Step-by-step explanation:

you know why

Answer: 2.75

Step-by-step explanation:

This is an isosceles triangle. The two angles opposite the two equal sides are equal. With this knowledge, we now know that the angles are 61, 61, x.

We also know that the sum of all the angles of a triangle is equal to 180 degrees.

61 + 61 + x = 180.

Combine like terms.

122 + x = 180

Subtract 122 from both sides.

x = 58 degrees

Answer:

4,978 because after 3 digits you have to put a coma

Answer:

4,978

Step-by-step explanation:

Answer:

14s+107

Step-by-step explanation:

(2s+7)+(12s+100)

14s+107

Answer:

(x-7)(x+5) for the first one. ( 3 x − 1 ) ( x + 5 ) = 0 for the second.

Step-by-step explanation:

Answer:-32

Step-by-step explanation:

You times the two numbers and add a negative sign in front of it

8 would be a negative in this situation and 4 would be a positive. So the problem would look like this:

-8 x 4 = ?

For this particular problem, we would do 8 x 4 which would equal 32. Then we would try to find which one has the greater absolute value.

Absolute Value:

4 = 4

-8 = |8|

Since -8 has the greater absolute value, the answer would be negative.

The Answer: -32

Answer:

x=12

Step-by-step explanation:

plug in 12 to x and results will make sense

Answer: B

(2.5, ∞)

Step-by-step explanation:

The solution set of the given logarithm inequality will be (2.5,∞).

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

In another word, a logarithm is a different way to denote any number.

As per the given logarithm function,

log₂(2x - 1) > 2

By log property

2x - 1 > 2 x 2

2x > 4 + 1

x > 5/2

x > 2.5 so the solution set will be 2.5 < x < ∞ or (2.5,∞).

Hence "The solution set of the given logarithm inequality will be (2.5,∞)".

For more about logarithms

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Answer:

Step-by-step explanation:

Let the height (the dependent variable) be h.

Let the independent variable (x) be y

h = 8y + 10

So at birth, these creatures are 10 cm long. At each birthday, they are another 8 cm.

Take the fifth year which is where the table begins.

y= 8*5 + 10

y = 40 + 10

y = 50 cm which is exactly what you got.

One revolution is completed when a fixed point on the wheel travels a distance equal to the circumference of the wheel, which is 2π (13 cm) = 26π cm.

So we have

1 rev = 26π cm

1 rev = 2π rad

1 min = 60 s

(a) The angular velocity of the wheel is

(35 rev/min) * (2π rad/rev) * (1/60 min/s) = 7π/6 rad/s

or approximately 3.665 rad/s.

(b) The linear velocity is

(35 rev/min) * (26π cm/rev) * (1/60 min/s) = 91π/6 cm/s

or roughly 47.648 cm/s.

The angular velocity of the wheel is 3.665 radians/sec.

The linear velocity is the hamster running is 47.648 cm/sec.

A hamster running in a wheel of radius 13 cm spins the wheel at 35 revolutions per minute.

Angular Velocity It is defined as the rate of change in angular displacement of a particle in a circular motion.

The angular velocity of the wheel is given by;

[tex]\rm 1 \revolution = 2\pi \ radians\\\\Angular \ velocity = 35 \times 2\pi \ radians \ per \ minute\\\\Angular\ velocity = 70\pi \ radians \ per\ minute\\\\1 \ min = 60\ second\\\\Angular \ velocity = 70\pi \times \dfrac{1}{60} \\\rm \\Angular \ velocity = \dfrac{7}{6} \times 3.14 \ radians \ per \ second\\\\Angular \ velocity = 3.65\ radians \ per \ second\\\\[/tex]

The angular velocity of the wheel is 3.665 radians/sec.

Linear velocity definition deals with the measurement of an object’s velocity when it moves along a specific direction.

The linear velocity is the hamster running is given by;

[tex]\rm Linear \ velocity = 35 \times 26\pi \times \dfrac{1}{60}\\\\Linear \ velocity = 35 \times 26 \times 3.14 \times \dfrac{1}{60}\\\\ Linear \ velocity =47.648 \ cm \ per \ second[/tex]

The linear velocity is the hamster running is 47.648 cm/sec.

To know more about Angular velocity click the link given below.

https://brainly.com/question/88155

Answer:

false

Step-by-step explanation:

Answer:

Alvin: 49

Elga: 40

Step-by-step explanation:

Hey there!☺

[tex]Answer:\boxed{40}[/tex]

[tex]Explanation:[/tex]

Elga's age can be represented as "x". If Elga is x years old, then Alvin's age would be represented as "x+9", since Alvin is 9 years older than Elga.

Their combined age is 89. If you were to write that as an equation in terms of "x", you would have the following equation.

[tex]x+x+9=89[/tex]

Since the question is asking for Elga's age, which is x, you're going to be solving the equation for the value of x.

First add like terms: [tex]x+x+9=89 \rightarrow 2x+9=89[/tex]

Subtract both sides by 9 to leave x alone: [tex]2x+9-9=89-9 \rightarrow 2x=80[/tex]

Divide both sides by 2 to find x: [tex]\frac{2x}{2} = \frac{80}{2} \rightarrow x=40[/tex]

Since x is equal to 40, Elga is 40 years old, and Alvin would be 49 years old.

You can also check if the answer is correct by adding their ages.

[tex]40+49=89\ \br \checkmark[/tex]

Elga is 40 years old.

Hope this helps!

[tex]\text{-TestedHyperr}[/tex]

Answer:

106

Explanation:

106+181=287

[tex]A = \left[\begin{array}{ccccc}2&3&5\\7&11&13\\17&19&23\\29&31&37\\41&43&47\end{array}\right] \\ \\ \\ \\ A^T = \left[\begin{array}{ccccc}2&7&17&29&41\\3&11&19&31&43\\5&13&23&37&47\end{array}\right][/tex]

Answer:

42 cm^2

Step-by-step explanation:

Base = 21 cm

Height = 4 cm

Area = [tex]\frac{base\times height}{2}[/tex]

Substitute values into the given equation

[tex]A = \frac{21\times 4}{2} \\\\A = \frac{84}{2} \\\\A = 42cm^2[/tex]

I think it's the third choice :)) the one you currently have

Answer:

[tex]MP= (4.5,2)[/tex] another way of writing [tex]MP= (\frac{9}{2}, 2)[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2})(\frac{y_1+y_2}{2})[/tex]

[tex]MP= (\frac{7+2}{2})(\frac{0+4}{2})[/tex] 7+2=9 0+1=1

[tex]MP= (\frac{9}{2})(\frac{2}{2})[/tex]  MP= (4.5,2)

The coordinates of the mid - point of XY will be -  M(4.5, 2)

We have two coordinate points - X(7, 0) and  Y(2, 4).

We have to find the coordinates of the mid - point of the line segment XY.

It states that a line with endpoint coordinates as - [x(1), y(1)] and

[x(2), y(2)] has its mid - point at the coordinates -

[tex]$x(m) =\frac{x(1)+x(2)}{2}[/tex]

[tex]$y(m) = \frac{y(1)+y(2)}{2}[/tex]

According to question, we have -

Assume that the coordinates of Mid - Point = M(h, k)

Coordinates of X= (7, 0)

Coordinates of Y= (2, 4)

Using the Mid - Point formula -

h = [tex]\frac{7+2}{2}[/tex] = 4.5

and

k = [tex]\frac{0+4}{2}[/tex] = 2

Hence, the coordinates of the mid - point of XY will be -  M(4.5, 2)

To solve more questions on Mid - points, visit the link below -

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Answer:

[tex]I=\frac{p-2w}{2}[/tex]

Step-by-step explanation:

[tex]p=2I+2w\\\\p-2w=2I+2w-2w\\\\p-2w=2I\\\\\frac{p-2w}{2}= I[/tex]

Answer:

119.2

Step-by-step explanation:

Given the following :

Mean (m) = 100 years

Standard deviation (sd) = 15 years

closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the

distribution?

Obtain the Zscore for 90th percentile (0.90) on the z table = 1.28

Zscore = (X - mean) / standard deviation

1.28 = (X - 100) / 15

1.28 × 15 = X - 100

19.2 = X - 100

19.2 + 100 = X

X = 119.2

Using the normal distribution, it is found that an age of 119 years is closest to the 90th percentile.

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

Normal Probability Distribution

The z-score formula is used, which, in a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], is given by:  

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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

Thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 100}{15}[/tex]

[tex]X - 100 = 15(1.28)[/tex]

[tex]X = 119.2[/tex]

An age of 119 years is closest to the 90th percentile.

A similar problem is given at https://brainly.com/question/15686085

Answer:

Point A reamains unchanged.

Step-by-step explanation:

Let

A(1, -1)

B(1, 1)

C(-4, -1)

D (-4, 1)

REFLECTED OVER Y-AXIS:

When we reflected over Y-AXIS we have to change the sign of X-Coordinates of all vertices so, above given vertices becomes

A(-1, -1)

B(-1, 1)

C(4, -1)

D (4, 1)

REFLECTED OVER X-AXIS:

When we reflected over X-AXIS we have to change the sign of Y-Coordinates of all vertices so, above given vertices becomes

A(-1, 1)

B(-1, -1)

C(4, 1)

D (4,-1)

When we rotated over 180 degree than we have to change the signs of both coordinates of all vertices

A(1, -1)

B(1, 1)

C(-4, -1)

D (-4,1)

we can see that after the opertion of all three processes i.e  reflected over the y-axis, reflected over the x-axis, and rotated 180ºrespectively vertices are same as original vertices so, Rectangle remain unchanged. and point A is also unchanged