Graph and label each of the ordered pairs in the coordinate plane. Then state the quadrant
or axis in/on which the point is located.
55. A(2, 4)
56. B(0, -3)
57. C(1, -1)
59. E(-4,1)
61. G(-3,-2)
63. I(0, 2)
58. D(3, 3)
60. F(2,0)
62. H(-2, 3)
64. J(-1,-4)
and/or volume of the given figure.
d the perimeter & area:

The value of the angle will be C. 20°

From the information given, it was stated that the protractor showed an angle going through the tenth tick mark after ten degrees.

This means the value of the angle will be:

= 10° + 10°

= 20°

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The true statements are:

Logarithms may be used to linearize data.

Powers may be used to linearize data. Roots may be used to linearize data.

If a data set is linearized by taking the common logarithm (log) or natural logarithm (ln) of the y-values, then the data follows a power model.

Another format for writing exponents is in logarithms.

The use of a logarithm can be utilized to solve issues that cannot be resolved using the concept of exponents alone. A logarithm is simply another way to describe exponents. Exponent and logarithm are inverse forms of one another. A logarithm is defined using an exponent.

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Answer:

A.Logarithms may be used to linearize data.

B.Powers may be used to linearize data.

C.Roots may be used to linearize data.

E.If a data set is linearized by taking the pth root of the y-values, then the data follows a power model.

Step-by-step explanation:

Yes

The given center and point on the circle of (0,0) and (-5, 3), respectively

gives the equation of the circle as [tex]x^{2} +y^{2} =\sqrt{34}[/tex].

The general form of the equation of the circle is presented as follows

(x - h)² + (y - k)² = r²

Where,(h, k) is the center of the circle and r is the radius of the circle

Here (h, k) is centered about the origin and the radius of the circle

Radius of the circle = √[(-5-0)² + (3-0)²]

= √(25+9)

=√34.

The equation of a circle centered on the origin going through the point (-5,3)

[tex]x^{2} +y^{2} =\sqrt{34}[/tex]

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Answer:

y = 33.6

Step-by-step explanation:

1/2 y + 3.2 = 20     subtract 3.2 from both sides of the equation

1/2y = 16.8              multiply both sides by 2

y = 33.6

Answer:

172.03 m²

Step-by-step explanation:

Hello!

Area of a circle: [tex]A = \pi r^2[/tex]

Plug in the radius into the formula to find the area.

The area is approximately 172.03 m².

To calculate the radius of this circle, we must take into account that:

Data:

To calculate the area of the circle, we apply the following formula:

a = area

π = pi

r = radius

Substituting the values of the equation:

Taking the square root

Multiplying

Answer: The approximate area of the circle is 171.95 m².

Answer:

They all equal zero

Step-by-step explanation:

A number cannot equal itself times any number that isn't zero, unless it itself is zero.

The given radii of 4 and 6 and the sector angle of 112°, gives;

[tex] C.\: \frac{56 \cdot \pi}{9} [/tex]

The possible figure that relates to the question can be described as follows;

Two concentric circles having radii of AE = 4, and AB = 6, respectively.

Sector of the circles formed by lines AC and AB, with angle of sector = 112°

The shaded portion is described by arcs FE and CB

Therefore;

Area of the sectors are found as follows;

[tex]AFE = \frac{112 ^\circ}{360 ^\circ} \times \pi \times {4}^{2} = \frac{224 \cdot \pi}{45} [/tex]

[tex]ACB = \frac{112 ^\circ}{360 ^\circ} \times \pi \times {6}^{2} = \frac{56 \cdot \pi}{5} [/tex]

Area of the shaded portion, A is therefore;

[tex] A= \frac{56 \cdot \pi}{5} - \frac{224 \cdot \pi}{45} =\frac{56 \cdot \pi}{9} [/tex]

[tex] Shaded \: area, \: A= \frac{56 \cdot \pi}{9} [/tex]

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The percentage of this plane that's enclosed by the pentagons is closest to: D. 56.

Since the side of the small square is a, then the area of the tile is

given by:

Area of tiles = 9a²

Note: With an area of 9a², 4a² is covered by squares while 5a² by pentagons.

This ultimately implies that, 5/9 of the tiles are covered by pentagons and this can be expressed as a percentage as follows:

Percent = 5/9 × 100

Percent = 0.555 × 100

Percent = 55.5 ≈ 56%.

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Complete Question:

The plane is tiled by congruent squares of side length a and congruent pentagons of side lengths a and a²/a, as arranged in the diagram below. The percent of the plane that is enclosed by the pentagons is closest to (A) 50 (B) 52 (C) 54 (D) 56 (E) 58

The Mean will decrease while the Median and the Mode will remain with the same amount.

For Central Measures, we have Median, Mode and  Mean. They try to describe the whole distribution by one value, in the center of it.

For this question, let's pick some examples from the Old Faithful, WY Station to the National Oceanic and Atmospheric Administration from 2015, January

1st Case Scenario:

For 7 days of precipitation, (Snow, ice pellets, etc. rain) in inches:

19 19 19 24 23 23 23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Mean = 5

Median=0 (the sum of the 15th+16th position over 2)

Mode=0 (Most common observations)

2nd Case Scenario

For 3 days of precipitation, (Snow, ice pellets, etc. rain) in inches:

0 0 0 24 0 0 23 0 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Mean = 2.2

Median =0

Mode=0

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Considering the definition of an inequality, the number of friends admitted must be less than or equal to 8, expressed as p ≤ 8

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that:

Being "p" the maximum number of people who can go to the amusement park, the inequality that expresses the previous relationship is

39.25 p + 11 ≤ 325

Solving:

39.25 p ≤ 325 -11

39.25 p ≤ 314

p ≤ 314÷ 39.25

p ≤ 8

Finally, the number of friends admitted must be less than or equal to 8, expressed as p ≤ 8

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The width of the freezer is 2.25ft

The formula for calculating the volume of rectangular prism is expressed as:

V = lwh

Given the following

length l = 8feet

w is the width

height h = 3feet

Substitute

54 = 8*3w

54 = 24w

w = 54/24

w = 2.25ft

Hence the width of the freezer is 2.25ft

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The volume of the composite figure is of 425 m³.

The volume of a prism is given by the base area multiplied by the height.

In this problem:

Hence the volume in m³ is:

V = 5² x 13 + 5² x 4 = 25 x 17 = 425 m³.

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Answer:

h (1) = $140

Step-by-step explanation:

10x + 150

-10     -10

150-10

=140

so the answer must be $140

So it is definitely the first one

H(12)=$270

Sanjay and Felipe would take a time of 3.4 hours to do the puzzle if they were working together.

Time can be described in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present and into the future.

The amount of time that something exists or continues to happen as measured or measurable.

The duration of events or the gaps between them can be measured, compared, or even ordered using time.

Time taken by Sanjay= 6 hours

Time taken by Felipe= 8 hours

Time taken by both if they work together,

=[tex]\frac{1}{1/6+1/8}[/tex]

=[tex]\frac{1}{\frac{4+3}{24} }[/tex]

=24/7

=3.4 hours

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Answer:

the answer is C

Step-by-step explanation:

A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.

As the description itself says, binomial probability distribution refers to a distribution of probabilities for random outcomes of bivariate or dichotomous random variables.

Therefore, a distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.

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Complete question:

A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called a ______.

Group of answer choices

(A) binomial probability distribution

(B) distribution of expected values

(C) random variable distribution

(D) mathematical expectation

Based on the above, the graph of the resultant vector is shown in the image attached  (x-axis).

In the  graph construction, We need to carry out a sum of vectors and then draw the resultant vector.

Note that the resultant vector need to be <4, 0>

Hence when we view the graph attached, we can say that the vectors areas:

w = <3, 3>

u = <-3, -4>

v = <-4, -1>

So, the sum = u - v + w

Note also that in the sum of the vectors we need to add and subtract the correspondent parts and it will be:

u - v + w

= <-3, -4> - <-4, -1> + <3, 3>

= <-3 + 4 + 3, -4 + 1 + 3>

= <4, 0>

Therefore, Based on the above, the graph of the resultant vector is shown in the image attached  (x-axis).

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The ratio of the number of female attendants to the number of male attendants is 21/17

let

900 = 1200x + 800y / (x + y)

900x + 900y = 1200x + 800y

900x + 1200x = 800y + 900y

2100x = 1700y

x : y = 2100 / 1700

x : y = 21 ; 17

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Answer: a

Step-by-step explanation:

The slope is the rate at which a line goes up or down (i.e., how steep it is). It is measured by the slope formula, which is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where (x1, y1) and (x2, y2) are two points on the line.

Below, (x1, y1) are (c, d) and (x2, y2) are (a, b).

When all variables are plugged in, the slope is

[tex]\frac{b-d}{a-c}[/tex]

Answer:

12 / (2+1) + 6 * 2 = 16 (The answer is 16)

Step-by-step explanation:

Step 1: Calculate within parentheses ( 2 + 1 ) : 3

= 12/3 + 6 * 2

Step 2: Multiply and divide (left to right) 12/3 : 4

= 4 + 6 * 2

Step 3: Multiply and divide (left to right) 6 * 2 : 12

= 4 + 12

Step 4: Add and subtract (left to right) 4 + 12 : 16

= 16

Hope this helps out!

Answer:

50

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem to find the hypotenuse. a^2+b^2 = c^2

40^2+30^2 = c^2

1600+900 = c^2

2500 = c^2

50 = c

The maximum number of relative extrema of the given polynomial is; 3

When trying to find the maximum number of relative extrema of a polynomial, we usually use the formula;

Maximum number of relative extrema contained in a polynomial = degree of this polynomial - 1.

We are given the Polynomial as;

f(x) = 3x⁴ - x² + 4x - 2

Now, the degree of the Polynomial would be 4. Thus;

Maximum number of relative extrema = 4 - 1

Maximum number of relative extrema = 3

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At a rate of 2 m³ per minute, it would take 212.5 minutes to fill this swimming pool.

Based on the information provided, we can logically deduce that the shape of this pool is a prism because it is deep (2.2 m) at one end and shallow (1.2 m) at the other end.

First of all, we would determine the volume of this swimming pool as follows:

Volume = 1/2 × (1.2 + 2.2) × 10 × 25

Volume = 1/2 × (3.4) × 250

Volume = 1.7 × 250

Volume = 425 m³.

For the time, we have:

Time = volume/rate

Time = 425/2

Time = 212.5 minutes.

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Answer:

26 rows

Step-by-step explanation:

this is like a rectangle length×width situation.

seats per row = s

number of rows = r

s × r = 884

s = r + 8

so, we can use e.g. the second equation in the first :

(r + 8) × r = 884

r² + 8r = 884

r² + 8r - 884 = 0

the general solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = r

a = 1

b = 8

c = -884

r = (-8 ± sqrt(8² - 4×1×-884))/(2×1) =

= (-8 ± sqrt(64 + 3536))/2 = (-8 ± sqrt(3600))/2 =

= (-8 ± 60)/2 = -4 ± 30

r1 = -4 + 30 = 26

r2 = -4 - 30 = -34

a negative number did not make any sense for the number of rows, so r = 26 is our answer.

Answer:

x = 10

y =10√2

Step-by-step explanation:

 The ratio of the sides of 45°- 45° - 90° triangle is a : a :  a√2

The side opposite to angle 45°  is a

a = 10

⇒ x =  a

  [tex]\sf \boxed{\bf x = 10}[/tex]

The side opposite to 90° is a√2

  y = a√2

    = 10√2

[tex]\sf \boxed{\bf y= 10\sqrt{2}}[/tex]

Answer:

Step-by-step explanation:

is an isosceles right triangle, so x = 10

to find y we use pythagoras

y = √(10²+10²)

y = √200

y = 14.1 or 10√2

Using division of fractions, the equivalent expression is:

B. [tex]\frac{4}{d - 6}[/tex].

To divide two fractions, we multiply the first by the inverse of the second.

In this problem, we have that:

Applying the multiplication, we have that:

[tex]\frac{2(d - 3)}{(d + 8)(d - 6)} \times \frac{2(d + 8)}{d - 3} = \frac{4}{d - 6}[/tex].

Hence option B is correct.

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The surface area of the oblique prism is equal to 485 square units.

In this question we have an oblique prism with seven faces, consistiting in two regular hexagons and five parallelograms. The surface areas is the sum of these seven faces:

A = 2 · 50 + 5 · 11 · 7

A = 485

The surface area of the oblique prism is equal to 485 square units.

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The value of λ in the vector is 0.2

Vectors are the opposite of scalar quantities and they are quantities that have directions and magnitude

The vector a is given as:

a = (−6, 8)

The magnitude of vector a is calculated using

|a| = √(x^2 + y^2)

So, the equation becomes

|a| = √((-6)^2 + 8^2)

Evaluate the exponent

|a| = √(36 + 64)

Evaluate the sum

|a| = √100

Take the square root of both sides

|a| = 10

Given that

λa = 5

This means that

λ * 10 = 5

Divide both sides by 10

λ = 0.2

Hence, the value of λ is 0.2

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