how many ways are there that no two students will have the same birth date in a class of size 60?

Answer:

1. if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = 6/2= 3. Thus, the equation describing this direct variation is y = 3x.

2. Partial Variation, where two variables are related by a formula, such as the formula for a straight line (with a non-zero y-intercept)

example :

in the milk factory Carol makes $10 per hour but gets an extra $20 from another job. since Carol gets a $20 allowance regardless of how much she works, if we want to represent Carol's situation in the form of an equation, it would be

Y=10x + 20

therefore if she worked zero hours

(Y=10(0) + 20),

she would still make $20 unconditionally and for every hour she works, she gets $10 more including the initial $20.

thus Carol's equation would be a partial variation, since her income doesn't entirely depend on how much she works.

3. a relation is non linear because it is has a direct relationship between an independent variable and a dependent variable.

In a relation, changes in the output do not change in direct proportion to changes in any of the inputs.

relations does not create a straight line but instead creates a curve.

Answer:

d. y = -⁷/6x - 7

Step-by-step explanation:

✔️First, find the slope (m) using two points on the line, (-6, 0) and (0, -7):

Slope (m) = change in y/change in x

Slope (m) = (-7 - 0)/(0 - (-6))

Slope (m) = -7/6

✔️Determine the y-intercept (b):

The line intercepts the y-axis at -7. Therefore,

b = -7.

✅To write the equation, substitute m = -⁷/6 and b = -7 into y = mx + b

Thus:

y = -⁷/6x + (-7)

y = -⁷/6x - 7

Answer:

The base angles are 64. The top angle is 52

Step-by-step explanation:

Since this is an icoseles triangle, the base angles are equal so:

8x - 16 = 6x + 4

8x - 6x = 4 + 16

2x = 20

x = 10

8x - 16

8(10) - 16

80 - 16

64

The top angle (x)

x + 64 + 64 = 180

x + 128 = 180

x = 52

Answer:

Step-by-step explanation:

cos 44° = [tex]\frac{x}{14}[/tex]

x = 14 × cos 44°

x ≈ 10.07 units

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

In a pyramid, there is only one base that touches the ground.

However, in a prism, there are two bases, two of the same ends.

The front of the name of the shape also hints:

If it's an octagonal prism, there are two octagon bases.

If it's a hexagonal pyramid, there is one hexagon base.

x²+2x-15=(x+5)(x-3) there is nothing to factoriz

Answer:

no they are the illuminati

Step-by-step explanation:

Answer:

3.333

C = 3.3333g

Step-by-step explanation:

Given the relation : C = rg

C = Total cost of gasoline

g = Number of gallons of gasoline used

r = constant of proportionality

Picking any point on the graph :

At cost, c = $30

Number of gallons of gasoline used, g = 9

Putting the values into our equation :

C = rg

$30 = r * 9

30 = 9r

Divide both sides by 9

30/9 = 9r / 9

3.333 = r

Hence, constant of proportionality, r = 3.333

Answer:

Step-by-step explanation:

[tex]a_{n}=a_{1}+(n-1) d\\n=9\\12=0+(9-1)d\\8d=12\\d=\frac{12}{8}=\frac{3}{2}\\again\\27=0+(n-1)*\frac{3}{2}\\n-1=27*\frac{2}{3}=18\\n=18+1=19[/tex]

Answer:

She wrapped 27 packages also can i have brain or heart

Answer:

$1,440

Step-by-step explanation:

1,200 / 10 = 120. 120 is 10%. So this means that 5% is $60. 60 x 4 = 240.

1,200 + 240 = 1,440

Answer:

y = 2x

Step-by-step explanation:

here in this case, x = independent variable whereas y is the dependent variable.

Now, Equation that represents a proportional relationship with a constant or proportionality of 2 is y =2x.

as y= 2x

⇒ y/x = 2

Answer: 1725 ft^2

Step-by-step explanation:

Rectangle part is 30*50 or l*w = 1500

Triangle is 15*30/2=225

Add the two to get area

1500+225=1725

Answer:

Depth is 4 feet.

Step-by-step explanation:

Given:

Length of an aquarium is 2.3 feet

Width of an aquarium is 1.2 feet

Volume of an an aquarium is 11.04 cubic feet

To find: depth of an aquarium is 2.3 feet

Solution:

If [tex]l,b,h[/tex] denote length, width and height of a cuboid then volume (V) of a cuboid is equal to [tex]lbh[/tex]

[tex]l=2.3[/tex] feet

[tex]b=1.2[/tex] feet

[tex]V=11.04[/tex] cubic feet

[tex]11.04=2.3(1.2)h\\h=\frac{11.04}{2.3(1.2)}\\h=\frac{11.04}{2.76}[/tex]

[tex]h=4[/tex] feet

Therefore,

depth is 4 feet.

Answer:

B. 5/2

Step-by-step explanation:

We can find the slope using any two points on the line. Readily identifiable are the points (2, 0) and (0, 3), from which we can find the slope:

[tex]\text{slope} = m=\frac{y_2-y_1}{x_2-x_1} \\ m = \frac{3-0}{0-2} = -\frac{3}{2}.[/tex]

The y-intercept is the y value when x = 0, which we already know is 3. So, the slope-intercept equation of this line is:

[tex]y=-\frac{3}{2}x+3.[/tex]

Answer:

D. The distribution of differences between each individual student’s times on each of the two tests (time with rap – time with country) must be approximately Normal.

Step-by-step explanation:

For a paired test, there are two measured values of a particular point, here what is measured is the time taken for each of rap and country music by each student.

The difference :

t2 - t1 = time with rap music - time with country music.

The number of samples usually associated with t distribution is usuall y very small (n ≤ 30).

Answer:

i don't know but I am I have them Monday I'm pretty sure I will fail in math but you'll be good

Step-by-step explanation:

brainlyest please I'm trying to get my thing up

Answer:

I think 141 is the answer

Answer:

x =30.7

Step-by-step explanation:

Here, we want to find the value of x

To get this, we use the appropriate trigonometric ratio

From what we have, we have the side facing an angle which is the opposite and the side not facing an angle or the right angle; this is the adjacent

The trigonometric identity that links the opposite and the adjacent is called the tan

It is the ratio of the opposite to the adjacent

Thus, we have;

tan 61 = x/17

x = 17 * tan 61

x = 30.7

Answer:

13.5 ft²

Step-by-step explanation:

This is also a trapezoid so we can do this formula:

[tex]A=\frac{a+b}{2} *h\\\\A=\frac{3+6}{2} *3\\\\A=\frac{9}{2} *3\\\\A=4.5*3\\A=13.5[/tex]

Answer:

y>-5-3x

Step-by-step explanation:

Answer:

Circumference of a circle A = [tex]389.7 \,\,inches[/tex]

Area of a circle A = 12081.1 square inches

Step-by-step explanation:

Let [tex]r[/tex] denotes radius of circle B.

Circle A has a radius that is five more than twice as long as the radius of circle B.

So,

Radius of circle A = [tex]5+2r[/tex]

Diameter of circle = 2 (radius of circle)

So,

Diameter of circle B = 2r

Diameter of circle A = [tex]2(5+2r)[/tex]

Sum of the diameters of the circles A and B = [tex]2r+2(5+2r)[/tex]

                                                                         [tex]=2r+10+4r[/tex]

                                                                         [tex]=6r+10[/tex]

As sum of the diameters of the circles is 88 inches,

[tex]6r+10=88\\6r=78[/tex]

[tex]r=13[/tex] inches

Radius of a circle A = [tex]2(5+2r)[/tex]

                                [tex]=2[5+2(13)][/tex]

                                [tex]=2(5+26)[/tex]

                                [tex]=2(31)[/tex]

                                [tex]=62[/tex] inches

Let R denotes radius of a circle A.

R = 62 inches

Circumference of a circle [tex]=2\pi R=2\pi (62)=124\pi =124(\frac{22}{7})=389.7 \,\,inches[/tex]

Area of a circle [tex]=\pi r^2=\pi (62)^2=3844\pi=3844(\frac{22}{7})=12081.1[/tex] square inches

Answer:

3y+3+y+2y=  

3y+y+2y+3=

4y+2y=6y/3=

3y

Step-by-step explanation:

Answer:

Hi! The answer to your question is Exact form: [tex]\frac{141}{8}[/tex], Decimal form: 17.625, Mixed number form: 17 5/8

Step-by-step explanation:

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