Determine the equation of the circle graphed below.
y
10
8
6
o
2
-10
-8
-6
4
-2
4
6
8
10
-2
-6
-10

Answer:

[tex]f(x)=\frac{1}{100} (\frac{1}{2})^{x}[/tex]

Step-by-step explanation:

[tex]f(x)=ab^{x} \\\\f(0)=\frac{1}{100\\}[/tex]

⇒ [tex]a=\frac{1}{100} \\\\f(1)=\frac{1}{200}\\ \\a.b=\frac{1}{200} \\\\[/tex]

⇒[tex]\frac{1}{100} .b=\frac{1}{200}[/tex]

⇒b=[tex]\frac{1}{2}[/tex]

⇒[tex]f(x)=\frac{1}{100} (\frac{1}{2})^{x}[/tex]

hope it helps

Answer:

5.1 cm

Step-by-step explanation:

12/3.5= 24/7

24/7 x 1.5= 36/7

= 5.1 cm

Answer:

area of triangle = 1/2 ×base×height

Answer:

x + 4

Step-by-step explanation:

We can see this because x² + 10x + 24 is divisible by x + 6, giving us the quotient of x + 4.

We can demonstrate that by simply multiplying the two binomials:

(x + 4)(x + 6)

= x² + 6x + 4x + 24

= x² + 10x + 24

Answer:

x+4

Step-by-step explanation:

The circumference of the circle is 55.9 m

The radius is given as 8.9 m

The formula for calculating circumference of a circle is

= 2πr

= 2 × 3.142 × 8.9

= 55.9

Hence the circumference of the circle is 55.9m

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Answer:

What is the difference between linear and exponential functions? Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.

Answer:

que pregunta? yo te la respondo

Step-by-step explanation:

Answer:

a) 1200

b) 450

c) 380

d) 560

Step-by-step explanation:

Answer:

D. (8,5)

Step-by-step explanation:

What I did was found the slope of the left line and applied that to (6,1)

Answer:

D.

(8,5)

Step-by-step explanation:

Since the top and bottom sides of a parallelogram are congruent (same length), and the bottom side is 5 units long, the missing top right corner must be five units to the right of the point at (3,5).

Answer:

[tex]\displaystyle \frac{d}{dx} = \frac{sin^2x + 1}{2cos^3x}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Pre-Calculus

Calculus

Derivatives

Derivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Rule [Quotient Rule]:                                                                           [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]

Trig Derivative:                                                                                                       [tex]\displaystyle \frac{d}{dx}[tanu] = u'sec^2u[/tex]

Trig Derivative:                                                                                                      

[tex]\displaystyle \frac{d}{dx}[cosu] = -u'sinu[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle y = \frac{tanx}{2cosx}[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

there an app called wolfram that you can use because I don't know how to do that

Answer:

a) 0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.

b) 0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.

c) 0.3317 = 33.17% probability that the company uses flexible work arrangements.

d) 0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.

e) 0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. The company uses flexible work arrangements or gives time off for volunteerism.

41% use flexible work arrangements.

Of the 100-41 = 59% that do not use flexible work arrangments, 30% give time off for volunteerism. So

[tex]p = 0.41 + 0.59*0.3 = 0.587[/tex]

0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.

b. The company uses flexible work arrangements and does not give time off for volunteerism.

41% use flexible work arrangements. Of those, 100 - 50 = 50% do not give time off for volunteerism. So

[tex]p = 0.41*0.5 = 0.205[/tex]

0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.

c. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements.

Here, we use conditional probability.

Event A: Does not give time off for volunteerism

Event B: Uses flexible work arrangments.

0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.

This means that [tex]P(A \cap B) = 0.205[/tex]

Probability that the company does not give time off for volunteerism:

0.205(uses flexible work arrangments).

100 - 30 = 70% of 59%. So

[tex]P(A) = 0.205 + 0.7*0.59 = 0.618[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.205}{0.618} = 0.3317[/tex]

0.3317 = 33.17% probability that the company uses flexible work arrangements.

d. The company does not use flexible work arrangements given that the company does give time off for volunteerism.

Again conditional probability.

Event A: Gives time off for volunteerism

Event B: Does not use flexible work arrangements.

Probability of giving time off for volunteerism:

50% of 41%(have flexible work arrangements).

30% of 59%(don't have flexible work arrangements).

So

[tex]P(A) = 0.5*0.41 + 0.3*0.59 = 0.382[/tex]

Gives time off for volunteerism and does not use flexible work arrangements.

30% of 59%. So

[tex]P(A \cap B) = 0.3*0.59 = 0.177[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.177}{0.382} = 0.4634[/tex]

0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.

e. The company does not use flexible work arrangements or the company does not give time off for volunteerism.

Does not use flexible work arrangments: 59%

Dont give time off for volunteerism(70% already in the 59%, so we dont add) and 50% of 41%.

[tex]p = 0.59 + 0.5*0.41 = 0.795[/tex]

0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.

Answer:

However, if the initial receiving team only scores a field goal, the game is not automatically over and the other team is given an opportunity .

sana makatulong

Step-by-step explanation:

Answer: A

Explanation:

Because the center of circle A is (0,1) and circle B is one unit down, it would be x^2+y^2=1 because the center of circle B is (0,0). (The equation for a circle is (x-h)^2+(y-k)^2=r^2 with h and k as coordinates of the center of the circle and r as the radius.)

Answer:

(-∞, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

5n - 13 < 4n - 10

Step 2: Solve for n

Here we see that any value n smaller than 3 would work as a solution to the inequality.

∴ our interval is (-∞, 3)

Answer:

Y=x+6

Step-by-step explanation:

to find out the slope you use the equation y2-y1/x2-x1. When you plug in the coordinates it will look like 7-2/1-(-4) and this is equal to 5/5 which can be simplified to 1. So the slope is 1! Now to find the y intercept you have to do b=y1-m*x1! If you plug into the coordinate it will be b=2−(1)⋅(−4) which is equal to 6. Then to construct out equation of the line it will be y=mx+b so now we plug in the slope and the y intercept so that the equation would be y=x+6

Answer:

0.36 or 9/25

Step-by-step explanation:

3/5*3/5

Answer:

2.4 use a scientific calculator like desmos it will really help:)

Step-by-step explanation:

Answer:

(4 + y)(4 - y)

Step-by-step explanation:

[tex]16 - {y}^{2} \\ \\ = {4}^{2} - {y}^{2} \\ \\ = (4 + y)(4 - y)[/tex]

Answer:

a) 1 atm

b) 2 atm

c) 3 atm

d) f(x) = (1/33)d + 1

Step-by-step explanation:

a) Surface of the water is the same as 0 depth, and the table shows that when there's 0 depth in feet, there is 1 atm of pressure.

b) Table shows when 33 feet deep, there is 2 atm of pressure.

c) Table shows when 6 feet deep, there is 3 atm of pressure.

d) To make a function equation, you need to find the slope and y-intercept.

The slope is (y2-y1)/(x2-x1), which would be (3-2)/(66-33). This would equal 1/33, which is our slope.

The y-intercept would be the y coordinate of where the x coordinate would equal 0, which would be 1 in this case.

Function equation is y = mx + b

m = slope

b = y-intercept

-> y = (1/33)x + 1

Answer:

x=-0.39 x=3.89

Step-by-step explanation:

a=2

b=-7

c=-3

when you plug all of those numbers in you would get

(7±[tex]\sqrt{73}[/tex] )/ (4)

so x=-0.39 x=3.89 would be your answer

The measure of angle O from the triangle MNO is 156.92°.

In trigonometry, the law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

The formula for the cosine rule is c=√(a²+b²-2ab cosC)

Given that, in triangle MNO, m = 720 cm, n = 160 cm and o=870 cm.

Now, 870=√(720²+160²-2×720×160 cosO)

870²=720²+160²-2×720×160 cosO

756900=544000-230400 cosO

212900=-230400 cosO

cosO= -212900/230400

cosO= -0.92

∠O=156.92°

Therefore, the measure of angle O from the triangle MNO is 156.92°.

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Answer:

158

Step-by-step explanation:

The vertex of the function is (2, 28) and the y-intercept of the function is (0, 40)

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The equation of the function is given as

y = 3x^2 - 12x + 40

Differentiate the function

So, we have

y' = 6x - 12

Set the function to 0

So, we have

6x - 12 = 0

This gives

6x = 12

Divide by 6

x = 2

Substitute x = 2 in y = 3x^2 - 12x + 40

y = 3 x 2^2 - 12 x 2 + 40

Evaluate

y = 28

This means that the vertex of the function is (2, 28)

Substitute 0 for x to determine the y-intercept

y = 3 x 0^2 - 12 x 0 + 40

Evaluate

y = 40

This means that the y-intercept of the function is (0, 40)

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Answer:

4 x 2 = 8

_____________________________________

Answer:

1,000, 50, 1

Step-by-step explanation:

to hard to explane

Answer:

can you help me to How do wetlands form?

Tributaries flow into rivers.

Runoff travels down the side of a divide.

Water builds up in a depression left by an ice sheet.

Groundwater comes to the surface and floods the land.

Step-by-step explanation:

Answer:

Bryan had 400$ in his bank account before he withdraw

Step-by-step explanation:

60$ ---- 15%(set what you have)

x$ ------100%(set what you need)

(x$ x 15%) 15x =(60$ x 100%)6000( cris cross the sides)(the signs dont matter )

x=400