How many planes in the diagram contain point W

Diameter = GK

Radius= JL

Chord= HI

JL=3

A circle is a fundamental 2D form whose radius is quantified. The interior and exterior parts of the aircraft are separated by the circles. It is similar to the type of line segment. Consider the line segment being bent till the ends meet. Make sure the loop is perfectly circular by arranging it.

A two-dimensional figure with an area and perimeter is a circle. The distance around a circle, or its circumference, is also known as its perimeter. The area of a circle is the area that it surrounds on a 2D plane.

radius = diameter /2

Diameter = GK

Radius= JL

Chord= HI

Since radius is half of diameter,

So, JL =GK/2 =6/2

                        = 3

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If one wanted to find the probability of ten customer arrivals in an hour at a service station, one would generally use the Poisson probability distribution.

How do you find the probability of success for each trial?

What is the probability formula?

Probability is equal to the number of favorable outcomes (Total number of outcomes) P = n (E) / n (S) E is the event, P is the probability, and S is the sample area.

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Answer:

Step-by-step explanation:

8).

Given,

For no. Of shirts = 10, price per shirt = $9

For no. Of shirts = 25, price per shirt = $8.40

.

Linear equation be,

y = mx + b

x 10 25

y 9 8.4

9 = 10m + b  (i)

8.4 = 25m + b (ii)

Now,

(i) 9 = 10 m + b  b = 9 - 10m

(ii)  8.4 = 25m + b 8.4 = 25m + 9 - 10m

8.4 - 9 = 15m m = -0.6/15 = -0.04

m = - 0.04

b = 9 - 10m = 9 - 10(-0.04) = 9+0.4 = 9.4

b = 9.4

The linear equation,

y = mx + b

y = -0.04x + 9.4

Answer:

A : Equation 4

B: Equation 1

C: Equation 3

D: Equation 2

Step-by-step explanation:

For direct proportionality, it means as one variable increases, the other increases. E.g. as X in eqn 4 increases y increases. Same thing applies to decrease. This is cause y and x are on the "same level". In eqn 2 and 3, y and x are NOT on the same level because of the division sign.

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The total money that will be cost for Mrs. Herrera to purchase candy for her is $10.9889

Given, Number of students that 100% attendance in the class is √196 -1 that is equal to

14-1 = 13.

So, number of students is 13.

Cost of one candy = $0.79+7%(tax)

Cost of one candy = $0.79 + (7% of 0.79)

Cost of one candy = $ 0.79 + 0.0553

Cost of one candy = $0.8453

So , total cost that Mrs. Herrera to purchase candy will be

Total cost = Number of student X Cost of one candy

Total cost = 13 X $0.8453

Total cost  = $ 10.9889

Hence, The total cost for Mrs. Herrera to purchase candy for her is $10.9889

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The amount raised by a booster club compared with the number of  raffle tickets sold shows a constant rate of change;

A constant rate of change is realized when a change in one situation always results in a change in another. In the scenario of a booster club that regularly sells raffle tickets, the more tickets it sells, the higher the club gets.

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Step-by-step explanation:

a/b = 5/6

a + b = 44

a = 44 - b

so, the first equation is

(44 - b)/b = 5/6

44 - b = 5b/6

264 - 6b = 5b

264 = 11b

b = 24

a = 44 - b = 44 - 24 = 20

the fraction is a/b = 20/24.

Also 2+4 as sum of the digits of the denominator = 6 is correct.

Answer:

Perimeter=16cm

Area=16cm

Step-by-step explanation:

we know that all 4 sides of square are equal. So,

Length of 4 sides of square= 16cm

Length of 1 side of square= 16/4cm=4cm

Now that we have found the length of single side of square, by using the formula of area and perimeter we can get of square like this:

Perimeter= 4 times the length of square

or,Perimeter= 4*4

Therefore,Perimeter=16 cm

Now,

Area=square of length of side

or,Area=4^2

Therefore, Area=16 cm

A differential equation with some initial conditions is used to solve an initial value problem.

The required particular solution is given by the relation:

[tex]$4y^{(3/2)} = 9e^{(-2x/3)} + 23[/tex]

An initial value problem in multivariable calculus is an ordinary differential equation with an initial condition that specifies the value of the unknown function at a given point in the domain. In physics or other sciences, modeling a system frequently entails solving an initial value problem.

Let the given equation be [tex]$y^{1/2} dy\ dx y^{3/2} = 1[/tex], y(0) = 9

[tex]$(\sqrt{y } ) y^{\prime}+\sqrt{(y^3\right\left) }=1[/tex] …..(1)

Divide the given equation (1)  by [tex]$\sqrt{ y} $[/tex]  giving

[tex]$y^{\prime}+y=y^{(-1 / 2)} \ldots(2)$[/tex], which is in Bernoulli's form.

Put [tex]$u=y^{(1+1 / 2)}=y^{(3 / 2)}$[/tex]

Then [tex]$(3 / 2) y^{(1 / 2)} \cdot y^{\prime}=u^{\prime}$[/tex].

Multiply (2) by [tex]$\sqrt{ } y$[/tex] and we get

[tex]y^{(1 / 2)} y^{\prime}+y^{(3 / 2)}=1[/tex]

(2/3) [tex]u^{\prime}+u=1$[/tex] or [tex]$u^{\prime}+(3 / 2) y=3 / 2$[/tex],

which is a first order linear equation with an integrating factor

exp[Int{(2/3)dx}] = exp(2x/3) and a general solution is

[tex]u. $e^{(2 x / 3)}=(3 / 2) \ln \[\left[e^{(2 x / 3)} d x\right]+c\right.$[/tex]  or

[tex]\mathrm{y}^{(3 / 2)} \cdot \mathrm{e}^{(2x / 3)}=(9 / 4) \mathrm{e}^{(2x / 3)}+{c}[/tex]

To obtain the particular solution satisfying y(0) = 4,

put x = 0, y = 4, then

8 = (9/4) + c

c = (23/4)

Hence, the required particular solution is given by the relation:

[tex]$4y^{(3/2)} = 9e^{(-2x/3)} + 23[/tex]

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In linear equation, $1.75 is amount of money Peter has after paying for the service.

What in mathematics is a linear equation?

Peter signed up for a program that costs $10.50 per month to stream movies to his computer.

He decided to cancel his service after 5/6 month.

So, has to pay for the amount of time he used the service

$10.50 . 5/6 = $175.5 = $8.75

The amount of money Peter has after paying for the service is

$10.50 - $8.75 = $1.75

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Answer:

5x - 20y

Step-by-step explanation:

4(2x - 5y) - 3x ← multiply each term in the parenthesis by 4

= 8x - 20y - 3x ← collect like terms

= 8x - 3x - 20y

= 5x - 20y

Answer:

5x - 20y

Step-by-step explanation:

Hello!

Distribute the terms outside of the parenthesis to the terms inside.

The simplified expression is 5x - 20y.

The angles are: ∠1 = 22.5°, ∠2 = 67.5°, ∠3 and ∠4 = 45°, ∠5 = 135° and ∠6 = 67.5°.

The flag is rectangle; hence, each corner will be 90°. Now, sum of ∠1 and ∠2 and sum of ∠3 and ∠4 will be 90°. We are given ∠2 is three times the ∠3. So, forming the equation -

∠2 = 3 ∠3

∠2 = 3 ∠1

∠1 + ∠2 = 90

∠1 + 3 ∠1 = 90

4 ∠1 = 90

∠1 = 22.5°

∠2 = 90 - ∠1

∠2 = 90 - 22.5

∠2 = 67.5°

According to Shannon, ∠3 = ∠4

∠3 + ∠3 = 90

2 ∠3 = 90

∠3 = 45° = ∠4

∠2 and ∠6 are the opposite angles and hence are also equal. Also, according to Shannon, ∠6 = 1/2 ∠5.

67.5 = 1/2 × ∠5

∠5 = 67.5 × 2

∠5 = 135°

Hence, each angle is: ∠1 = 22.5°, ∠2 = 67.5°, ∠3 and ∠4 = 45°, ∠5 = 135° and ∠6 = 67.5°.

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342 = 2, 3, 6, 9

191 = no factors

1235 = 5

40320 = 2, 4, 8

16 = 2, 4, 8

78448 = 2, 4, 8

588 = 2, 4 , 12

67 = no factors

925 = 5

60043 = no factors

3663 = 3, 6

350 = 5

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Answer:

15 (x + 2\/5)^2 + 28\/5

Step-by-step explanation:

The equation of the line in slope-intercept form passing through the points (-4.7 , 2.7) and (1.3 , -7.3) is y = -1.67x - 5.13.

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The slope-intercept form of the equation of a line is given by the formula:

y = mx + b

where m is the slope of the line

b is the y- intercept

Given the two points, (-4.7 , 2.7) and (1.3 , -7.3), get the slope of the line using the formula:

m = (y2 - y1)/(x2 - x1)

m = (-7.3 - 2.7)/(1.3 - -4.7)

m = -10/6

m = -5/3

Using the slope-intercept form, plug in the value of the slope and one point to determine the y-intercept, b.

y = mx+ b

2.7 = -5/3(-4.7) + b

b = -77/15

Substitute the value of the slope and y-intercept in the slope-intercept form.

y = -5/3 x -77/15

y = -1.67x - 5.13

Hence, the equation of the line in slope-intercept form is y = -1.67x - 5.13.

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The number of cups of milk when represented as fraction is expressed as 1/2 cup.

Given a recipe indicates 0.5 cup of milk.

A numerical value that designates a portion of a whole is used to represent fractions.A fraction is a part or portion that is taken from the total, which might be any number, a specific sum, or an item.

To convert it into fraction, we first need to remove the decimal.

5/10

when 5 is divided by 10 we get 0.5, hence we have removed the decimal and converted it into its orignal form.

Now multiply and divide by 5.

= 5 × 5/10 × 5

= 1/2

we get the fraction part as 1/2

Hence 0.5 cup of milk represent 1/2 cup of milk as a fraction.

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The answers to all the subparts of the question are shown below.

(A) What type of observational study was this?

(B-1) What is the response variable?

(B-2) What is the explanatory variable?

Therefore, the answers to all the subparts of the question are shown.

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Using proportions, the coordinates of point G are given as follows:

(1.8, 1.6).

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The points A and B are given as follows:

A(-3, 4) and B(5,0).

For this problem, we have that the ratio of AG to GB is 3:2, hence:

AG = 3/5AB

G - A = 3/5(B - A).

The x-coordinate of G is found as follows:

x + 3 = 3/5(5 + 3)

x + 3 = 4.8

x = 1.8.

The y-coordinate of G is found as follows:

y - 4 = 3/5(0 - 4)

y - 4 = -2.4

y = 1.6.

Hence the coordinates of point G are given as follows:

(1.8, 1.6).

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The measure of the angle 8 is option (d). 106.

Measure of Angle

Angle measurement is the amount of rotation from the initial to an endpoint of a ray.

Given,

Measure of Angle 2 = 8x + 10

Measure of angle 6 = x² - 38

Here we need to find the measure of angle 8.

Let us consider the angle 2 and 6 are corresponding angles.

Then,

Measure of Angle 2 = Measure of Angle 6

Apply the corresponding values,

Then we get,

8x + 10 = x² - 38

It can be written as,

=> x² - 38 - 8x - 10 = 0

=> x² - 8x - 48 = 0

When we factorize the equation,

Then we get,

=> (x + 4) ( x - 12) = 0

Then the value of x will be x = -4 and 12.

Here the value of x can't be negative.

So,

=> x = 12

Now apply the value of x on the measure of angle 2,

=> 8(12) + 10

=> 96 + 10

=> 106

So, the measure of angle 8 is option (d). 106.

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Numbers without fractions are referred to as "whole numbers," and they are made up of positive integers and zero. It is denoted by the letter "W," and its corresponding set of numbers are 0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12,..

A mathematical procedure called addition symbolizes adding objects t to a larger collection. The plus sign ( + ) is used to denote it.

Some examples of the addition of whole numbers is:

1 + 8 = 9

10 + 19 = 29

A mathematical operation known as subtraction symbolizes the process of determining the difference between two numbers or units. The negative sign is used to denote it ( - ).

An example of subtraction of whole numbers is:

10 - 2 = 8

40 - 25 = 15

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Using the diameter concept, we have that the correct option is given by:

The ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.

The diameter of a circular or spherical object is the largest distance that can be formed between two parallel lines to it's boundary, hence, basically, the lateral distance occupied by the object.

For this problem, the diameter is in inches, while the available box is in cm, hence we have to convert the diameter to cm.

Each inch has 2.54 centimeters, hence the diameter of ball is of 9.55 x 2.54 = 24 (approximately) < 25, hence it will fit and the correct option is given by:

The ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.

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The perpendicular slope is expressed as the negative reciprocal of the slope or − 1 m. In this scenario, the slope, or m, is −4 so the slope of the perpendicular line is − 1 −4 which simplifies to 1 4

The number of students in all at the school is 7,954 students.

In order to determine the number of students in all at the school, you would add the number of students that rode the bus with the number of students that came to school another way.

Addition is the mathematical operation that is used to determine the sum of two or more numbers. The sign used to denote addition is +. Other mathematical operations are subtraction, division and multiplication.

Number of students in school = number of students that rode the bus + number of students that came another way

4,585 + 3,369 = 7,954 students

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Answer:

3/2

Step-by-step explanation:

Answer:

-16=0.2b

-16/0.2=b

b= -80 answer

Answer:

In the equation "-16 = 0.2b", b is equal to -80.

Step-by-step explanation:

-16 = 0.2b

Turn the decimal into a fraction. This will make solving simpler.

-16 = [tex]\frac{1}{5}b[/tex]

Multiply both sides by 5.

-80 = 1b

Simplify.

b = -80

We get the dimensions of the park as length = 75 feet and width = 20 feet.

We are given that:

A yard has a perimeter of 190 feet.

Also, four times the length of the yard equals 15 times the width.

Now,

Let the length of the yard be x.

ATQ, we get the width of the yard as:

15 width = 4 x

Width = 4 / 15 x

Perimeter = 2 ( l + b )

190 = 2( x + 4 / 15 x )

95 = 19 x / 15

19 x = 95 × 15

19 x = 1425

x = 1425 / 19

x = 75 feet.

Length = 75 feet

Width = 4 / 15 x = 20 feet.

Therefore, we get the dimensions of the park as length = 75 feet and width = 20 feet.

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Answer:

f(-7) = -15

g(-3) = 27

Step-by-step explanation:

We see that the functions defined are:

f(x) = 2x - 1

AND

g(x) = 2x^2 - 3x

This problem asks to find f(-7) and g(-3). To find this, we have to plug the respective numbers into the respective functions.

f(-7) = 2 (-7) - 1

f(-7) = - 14 - 1

f(-7) = -15

g(-3) = 2(-3^2) - 3(-3)

g(-3) = 2(9) + 9

g(-3) = 18+9

g(-3) = 27

FINAL ANSWER: f(-7) = -15, g(-3) = 27