Please help me if you are good at geometry! Thank you.

Answer:

The slope is 1/5 and the y-intercept is -7

Step-by-step explanation:

In point-slope form (y = mx + b), m is the slope and b is the y-intercept.

Answer:

the second one

Step-by-step explanation:

When subtracting a negative, the negative turns to a positive, so in this case, -14- -8 would be the same as -14 + 8

Answer:

7 dollars and 50 cents of quarters. That right there equals 30 coins

He has a dollar and thirty cents in dimes and that equals 13 coins

Together that is $8.80. with 43 coins.

Step-by-step explanation:

Answer:

umm???????????? let me try doin it

Answer: the answers for numbers 1,2 and 4 are all true :)

1: True

2: True

4: True

Question:

In New York City at the spring equinox there are 12 hours 8 minutes of daylight. The  longest and the shortest days of the year vary by 2 hours 53 minutes from the equinox.  In this year, the equinox falls on March 21. In this task, you'll use a trigonometric function  to model the hours of daylight hours on certain days of the year in New York City.

- Find amplitude and the period of the function

- Create a trigonometric function that describes the hours of sunlight for each day of the year

- Then use the function you built to find how fewer daylight hours February 10 will have then March 21

Answer:

(a)

[tex]A = 2.883[/tex]  --- Amplitude

[tex]T = 365[/tex] ---- Period

(b) Trigonometry function

[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]

(c) [tex]Hours= 1.794[/tex]

Step-by-step explanation:

Given

[tex]Average\ Sunlight = 12hr\ 8 min[/tex]

[tex]Variance = 2hr\ 53min[/tex]

Solving (a): Amplitude (P) and Period (T)

The amplitude is the amount of time the longest and the shortest day vary.

So

[tex]A = 2\ hr\ 53\ min[/tex]

Convert to hours

[tex]A = 2\ + \frac{53}{60}[/tex]

[tex]A = 2+0.883[/tex]

[tex]A = 2.883[/tex]

The period (T) is the duration i.e 1 year

[tex]T = 1\ year[/tex]

Assume no leap year

[tex]T = 365[/tex]

Solving (b): Trigonometry function

The function follows a sinusoidal pattern and the general form is:

[tex]f(x) = \mu+ Asin(\frac{2\pi}{T}(x -n))[/tex]

Where

[tex]\mu = Average\ Value[/tex]

[tex]\mu = 12\ hr 8\ min[/tex]

Convert to hours

[tex]\mu = 12 + \frac{8}{60}[/tex]

[tex]\mu = 12 + 0.133[/tex]

[tex]\mu = 12.133[/tex]

[tex]A = 2.883[/tex]  --- Amplitude

[tex]T = 365[/tex] ---- Period

[tex]n = Equinox[/tex]

[tex]n = March\ 21[/tex]

[tex]March\ 21st = 80th\ day[/tex]

So:

[tex]n= 80[/tex]

The function becomes:

[tex]f(x) = \mu+ Asin(\frac{2\pi}{T}(x -n))[/tex]

[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]

Solving (c): Fewer daylight hours will Feb. 10 have.

[tex]Feb\ 10 = 41st\ day[/tex]

So:

[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]

[tex]f(41) = 12.133 + 2.883sin(\frac{2\pi}{365}[41 - 80])[/tex]

[tex]f(41) = 12.133 + 2.883sin(\frac{2\pi}{365}[-39])[/tex]

[tex]2\pi = 360^\circ[/tex]

So:

[tex]f(41) = 12.133 + 2.883sin(\frac{360}{365}[-39])[/tex]

[tex]f(41) = 12.133 + 2.883sin(-38.466)[/tex]

[tex]f(41) = 12.133 - 2.883*0.6221[/tex]

[tex]f(41) = 10.339[/tex]

The fewer daylight hours is the calculated as:

[tex]Hours= Average - f(41)[/tex]

[tex]Hours= \mu - f(41)[/tex]

[tex]Hours= 12.133 - 10.339[/tex]

[tex]Hours= 1.794[/tex]

Answer: The area of the plate is 81.67 in^2

Step-by-step explanation:

If we have a circle of radius R, the area of this circle can be computed as:

A = pi*R^2

where pi = 3.14

And the circumference is:

C = 2*pi*R

and we know that this is equal to 32 in, then:

32in = 2*pi*R

Now we can isolate R, and we get:

32in/(2*pi) = R

32in/(2*3.14) = R = 5.1 in

Then the area of the plate is:

A = 3.14*(5.1in)^2 = 81.67 in^2

Step-by-step explanation:

10.....................

Answer:

n = 120

Step-by-step explanation:

Price before decrease = x

If price before decrease is 100, then price after decrease = 100- 12 = 88

100:88 = x:600

100/88=x/600

100/88 ×600 = x

681.82 =x

Price before decrease =681.82

Answer:

Step-by-step explanation:

22/25

Answer: 16q5r2

Step-by-step explanation:

Answer:

X 90 z 90 y 90

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

Answer:

y = -1/2x + 1

Step-by-step explanation:

(0,1) and (2,0)

Slope:

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

m=(0-1)/(2-0)

m=(-1)/2

m= -1/2

Slope-intercept:

y - y1 = m(x - x1)

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

y - 1 = -1/2x

y = -1/2x + 1

Answer:

$3828 approx

Step-by-step explanation:

Given data

Principal=$2316

Rate= 3%

Time= 17 years

The compound interest formula is

A=P(1+r)^t

substitute

A=2316(1+0.03)^17

A=2316(1.03)^17

A=2316*1.652847

A=$3827.99

Hence the account balance after 17 years is $3828 approx

Answer:

B. y=-x+2

Step-by-step explanation: If you plot each equations on desmos graphing calculator you can look for those points and see if is on there.

Answer:

c

Step-by-step explanation:

Answer:

The first thing we must do for this case is to define variables:

d = number of days

We then have the following inequality that represents the problem:

9d + 10 <= 146

Answer:

An inequality that represents the number of days, on which Natalie can take classes is:

9d + 10 <= 146

Step-by-step explanation:

Answer:

B. 146 ≥ 9c + 10

Answer:

Part A

The polynomial expression for the profit from selling and making 'y' cars is 0.003·y² - 10·y - 1,000,000

Part B

The profit made from selling 30,000 cars is 1,670,000

Step-by-step explanation:

Part A

Taking the revenue, 'R', made by the car company for the sale of 'y' cars as R = 0.003·y² + 10·y

The cost to produce 'y' cars, C = 20·y + 1,000,00

The profit, 'P', from making and selling 'y' cars is given as follows;

P = R - C

∴ 0.003·y² + 10·y - (20·y + 1,000,00) = 0.003·y² - 10·y - 1,000,00

An expression of the polynomial for the profit 'P', from selling and making 'y' cars is therefore presented as follows;

0.003·y² - 10·y - 1,000,000

Part B

The profit made from selling 30,000 cars, (y = 30,000) is given as follows;

= 0.003·y² - 10·y - 1,000,000

[tex]P_{y = 30,000}[/tex] = 0.003 × 30,000,000² - 10×3,000 - 1,000,000 = 1,670,000

The profit made from selling 30,000 cars = 1,670,000.

Answer:

D) b/a

From the given figure, O = (0, 0) and A = (a, b)

Slope of OA = (y2 - y1) / (x2 - x1)

Here x1 = 0, y1 = 0, x2 = a and y2 = b.

Slope of OA = (b - 0)/(a - 0)

Slope of OA = b/a

Answer: D) b/a

Answer:

1. a) 7

b) 8

c)7

d) 6

2. a) -2 < 4

b) -3 > -5

c) -1°C

3. 39.95

Step-by-step explanation:

Answer:

parallel as if we place the ond the coordinate grkd they will form lines paral.el to each other(;

Answer:

y=-7x^2-14x-2

Step-by-step explanation:

Hope this helpz

Answer:

3120

Step-by-step explanation:

52x60=3120

Answer:68

Step-by-step explanation:

Do 52 plus 60 then subtract it by 180 and you get 68

Answer:

The area that is surrounded by the highway on the billboard is approximately 89.34 square meters

Step-by-step explanation:

The given parameters are;

The length of the circle shaped highway = 251.2 km

The scale of the map of the bus routes along the highway = 1:7,500

The circumference of a circle, C = 2·π·r = The length of the perimeter of the circle

Therefore, we have;

The circumference of the highway = The length of the circle shaped highway = 251.2 km

The circumference of the highway, C = 251.2 km = 2·π·r

The radius of the circular highway path, r = 251.2 km/(2·π) ≈ 39.994217 km

The area of a circle, A = π·r².

The area of the highway = π·r² = π × (39.994217 km)² ≈ 5,025.09492434 km.²

Given that the scale of the map = 1:7,500. we have;

The scale of the area = (1:7,500)² = (1:56,250,000)

The size of the drawing, 5,025.09492434 km.²/(56,250,000) = 0.00008933502 km² = 89.33502 m.²

Therefore, the area that is surrounded by the highway on the billboard, rounded to the nearest hundredth of a square meter ≈ 89.34 m.²

Answer:

16 students

Step-by-step explanation:

40 kids like only carrots and 40% of a hundred is 40%, so out of the 40 students that will be surveyed only 40% will like only carrots. 40% of 40 is 16

Answer: V = 1731.8Ft³

Step-by-step explanation:

v = πr²h

Radius is half of the diameter ⇒ 21/2 = 10.5

V = π(10.5)²(5)

V=π(110.5)(5)

V = π(551.25)

V = 1731.8Ft³

The solution is : the volume of the pool is V = 1731.8Ft³.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

Here, we have,

we know that,

the volume of the cylinder is:

v = πr²h

Radius is half of the diameter

⇒ 21/2

= 10.5

so, we get,

V = π(10.5)²(5)

V=π(110.5)(5)

V = π(551.25)

V = 1731.8Ft³

Hence, The solution is : the volume of the pool is V = 1731.8Ft³.

To learn more on volume click :

brainly.com/question/1578538

#SPJ2

Answer:

20%

Step-by-step explanation:

because 15/75×100 =1/5×100=20%

Answer:

Step-by-step explanation:

x% of 15y = 75

x% =75/(15y) = 5/y

x = 500/y

Answer:

(2,3) also love your profile pic :)

( 2,3 ) I hope this helped you!~ have a great day~

~Keiji❤

Treat yourself well, remember to eat. You are valid. Love you!~

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