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Write the equation of the circle centered at (-3, 8) with radius 12.

Write the equation of the circle centered at (0, 3) that passes through (12, 4).

We get that, the value of x is 11.67 when the equation is x / 5 = 7 / 3.

An equation is a combination of two expressions connected by an equal sign.

We are given an equation:

x / 5 = 7 / 3

We need to find the value of x.

Multiply both sides by 5

x / 5  × 5 = 7 / 3 × 5

x = 35 / 3

Now, we will divide 35 by 3 and round off the result to two decimal places:

x = 11.67

Therefore, we get that, the value of x is 11.67 when the equation is x / 5 = 7 / 3.

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The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

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Answer: -43( n - 74) = n + (-64)

Step-by-step explanation:

The statement can be represented by the equation

-43( n - 74) = n + (-64)  where n is the number

Answer:

\(\huge\boxed{-43(n-74)=n+(-64)}\\\boxed{n=\dfrac{1623}{22}=73\dfrac{17}{22}}\)

Step-by-step explanation:

\(n-\text{a number}\\\\\text{the difference between a number and 74}:\ n-74\\\\\text{-43 times the difference between a number and 74}:\ -43(n-74)\\\\\text{the number plus - 64:}\ n+(-64)\\\\\text{The equation}:\\\\-43(n-74)=n+(-64)\)

\(solution\)

\(-43(n-74)=n+(-64)\qquad/\text{use the distributive property}\\\\(-43)(n)+(-43)(-74)=n-64\\\\-43n+3182=n-64\qquad/\text{subtract 3182 from both sides}\\\\-43n=n-3246\qquad/\text{subtract}\ n\ \text{from both sides}\\\\-44n=-3246\qquad/\text{divide both sides by (-44)}\\\\n=\dfrac{-3246}{-44}\\\\n=\dfrac{3246:2}{44:2}\\\\\boxed{n=\dfrac{1623}{22}=73\dfrac{17}{22}}\)

Using area formula,

a. Area of the trapezium = 47.5m².

b. Area of parallelogram = 54inches².

The area of a thing is the amount of space it occupies in two dimensions. It is a way to count how many unit squares completely round the surface of a closed figure. The standard unit of area is the square unit, which is usually expressed as square inches, square feet, etc.

a. Sides of the trapezium are, a = 5m and b = 14m.

Height, h = 5m.

Area of the trapezium = (a+b)/2 × h

= (5 + 14)/2 × 5

= (19× 5)/2

= 95/2

= 47.5m².

b. Height of parallelogram = 6inches.

Base of parallelogram = 9inches.

Area = b × h

= 6 × 9

= 54inches².

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The ship travel 18.45 between two observation from the lighthouse.

The ratios of a triangle's side lengths to each of its opposite angles are related by the law of sines. There is no change in this ratio for the three sides or the opposing angles.

Let x be the distance of travel by ship between the two observations of the lighthouse.

Distance of NE = 11.5

∠N = 38.5°  and

∠S = 43.5°

In ΔNSE,

∠N + ∠S + ∠E = 180°

∠E =  180° - 43.5° - 38.5°

∠E =  180° - 43.5° - 38.5°

∠E =  92°

Law of sines:

a / sinA = b/sinB = c/sinC

Here,

b/sinB = c/sinC

11.5 / sin38.5° = x / sin 92°

Value of sin38.5° = 0.6225146366376195

Value of sin92° = 0.999

x = 18.45.

Therefore, the distance SN = 18.45.

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Answer:

19.6 in²

Step-by-step explanation:

area of circle = π r²

= π (3 1/2)²

= π (5/2)²

= π 25/4

= 22/7 x 25/4

= 275/14

=19.6 in²

Answer:

361

Step-by-step explanation:

because the circumference is 19 must find the nearest tenth value is 361

By using compound interest formula, we conclude that Sophie deposited $16,638 (rounded to the nearest whole number) into the account.

Compound interest is a method of calculating interest on a principal amount of money, where the interest earned on the initial principal is added to the principal at the end of each compounding period (usually monthly, quarterly, or annually).

We can use the formula for compound interest to solve this problem. The formula is:

\(A = P(1 + r/n)^{(nt)\)

Where:

A = the total amount in the account

P = the principal (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

We know the values for A, r, n, and t, so we can solve for P:

\(A = P(1 + r/n)^{(nt)\)

\(22,099.87 = P(1 + 0.022/2)^{(2*13)\)

\(22,099.87 = P(1.011)^{26\)

22,099.87 = 1.329P

P = 22,099.87 / 1.329

P = 16,637.55

Therefore, Sophie deposited $16,638 (rounded to the nearest whole number) into the account.

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Answer:

18.09

Step-by-step explanation:2.4x2.4, then x3.14  

Answer:

answers below

Step-by-step explanation:

If you are trying to find the area the answers are:

Earth= 289.52918

Saturn=6,532.5021

The formula for area for a sphere is:

4 x pie x r2

If you are trying to find the volume the answers are:

Earth=57.90584

Saturn=46,647.01596

The formula for volume for a sphere is:

4/3 x pie x r3

Also the radius (r) is half of the diameter, so you divide the diameter by 2.

Answer:

34107cm

Step-by-step explanation:

Step-by-step explanation:

-4+13=9

-16-(-29)=13F lower

For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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Answer:

False

Step-by-step explanation:

1. The inverse function should have c(n) isolated
2. When finding the inverse of a function, the variables c(n) and n are interchanged (and then c(n) is isolated).
It would look like this --->c(n)=50+4n--->n=50+4(c(n)) ---> c(n)=(n-50)/4

Answer:

Make the -4 exponent in the denominator positive.

Answer:

199

Step-by-step explanation:

Answer:

It would be 200 because 199 is closer to 200 rather than 100.

Answer:

a)\(X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)\)

b)\(Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0 )\)

Step-by-step explanation:

From the question we are told that

The Function

\(f(x)=1+\frac{1}{x} +\frac{5}{x^2} +\frac{1}{x^3}\)

Generally the differentiation of function f(x) is mathematically solved as

\(f(x)=1+\frac{1}{x} +\frac{5}{x^2} +\frac{1}{x^3}\)

\(f(x)=\frac{x^3+x^2+5x+1}{x^2}\)

Therefore

\(f'(x)=\frac{x^2+10x+3}{x^4}\)

Generally critical point is given as

\(f'(x)=0\)

\(\frac{x^2+10x+3}{x^4}=0\)

\(x=-5 \pm\sqrt{22}\)

Generally the maximum and minimum x value for critical point is mathematically solved as

\(f'(-5 \pm\sqrt{22})\)

Where

Maximum value of x

\(f'(-5 +\sqrt{22})<0\)

Minimum value of x

\(f'(-5 +\sqrt{22})<0\)

Therefore interval of increase is mathematically given by

\(f'(-5 -\sqrt{22}),f'(-5 +\sqrt{22})\)

\(f(x)<0,-\infty<x<(f'(-5 -\sqrt{22})) ,(f'(-5 +\sqrt{22}))<x<0,0<x< \infty\)

Therefore interval of decrease is mathematically given by

\((-\infty,-5 -\sqrt{22}),f'(-5 +\sqrt{22},0),(0,\infty)\)

Generally the second differentiation of function f(x) is mathematically solved as

\(f''(x)=\frac{2(x^2+15x+6)}{x^5}\)

Generally the point of inflection is mathematically solved as

\(f''(x)=0\)

\(x^2+15x+6=0\)

Therefore inflection points is given as

\(x=\frac{1}{2} (-15 \pm \sqrt{201}\)

\(f''(x)>0,\frac{1}{2}(-15-\sqrt{201}) <x<\frac{1}{2}(-15-\sqrt{201}) <x<0\)

a)Generally the concave upward interval X is mathematically given as

\(X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)\)

\(f''(x)<0,-\infty<x<\frac{1}{2}(-15-\sqrt{201}) , \frac{1}{2}(-15-\sqrt{201}) <x<0\)

b)Generally the concave downward interval Y is mathematically given as

\(Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0 )\)

P(D|FS)=.9529

If F and S are conditionally independent given D and ~D, then

P(FSD)= P(D)P(F|D)P(S|D)

P(FS~D) = P(~D)P(F|~D)P(S|~D)

P(F|~D) = 1 - P(~F|~D)

P(S|~D) = 1 - P(~S|~D)

P(~D) = 1 - P(D)

P(D|FS) = P(FSD)/(P(FSD) + P(FS~D))

P(F|D) = P(S|D) = .9

P(~F|~D) = P(~S|~D) = .9

P(D = .2)

Then, P(FSD) = P(D)P(F|D)P(S|D) = .2*.9*.9 = .162

P(FS~D) = P(~D)P(F|~D)P(S|~D) = (1 - .2)(1 - .9)(1 - .9)= .008

P(D|FS) = P(FSD)/(P(FSD) + P(FS~D)) = .162/(.162+.008) = 162/170=81/85 = .9529

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Answer:

Two times lower than last year's temperature

Let today's Temperature be x

x/2 = -8.2°

x = -8.2°*2

Answer:

uhh judy has $3.024 in her bank acc

She is buying tickets for 11 friends and including herself too that means 12

Two friends decided help to buy the tickets and offered $100 each i.e $200

So I'm guessing that the cost price of one ticket is $100

Now than since 2 people paid their ticket cost than that means only 10 people left

Than for buying tickets for 10 people would cost (10×100=1000)

So I guess buying the tickets cost 1000 or if we add other two people's cost than that makes 1200

Answer:

Your answer would be the second option

KQL, IQH

Step-by-step explanation:

Answer:

the 2nd option

Step-by-step explanation:

Answer:

6 1/8 ×10 2/7= 60

60÷2 1/3= 30

The answer:

30

A quadratic equation, or second-order polynomial equation with a single variable, has the form ax^2 + bx + c = 0. The solution to the given equation is v = 7, -5 and 3

The form ax^2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Given the quadratic expression below:

(v-7)(v+5)(v-3)=0

Required

The solution to the system of equation

Equate each expression to zero calculate the value of 'v' as shown:

v - 7 = 0

v = 0 + 7

v = 7

Also, v + 5 = 0

v = 0 - 5

v = -5

Similarly, v - 3 = 0

v = 0 + 3

v = 3

Hence the solution to the given equation is v = 7, -5 and 3

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Answer:

Horizontal:

Circle

Ellipse

Hyperbola

Parabola

Verticle:

Triangle

Step-by-step explanation:

A cone is basically a triangle and circle

Answer:

3/8

Step-by-step explanation:

Divide 3/4 into 2. Got it right on iready

Answer: the answer is (3,-2)

Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)

therefore

(-3,2) becomes (3,-2)

I'm pretty sure

Answer:

Step-by-step explanation:

Let x be the number of miles you and your friend travel.We know that the cost of the bus ride is 60 cents per mile, so the total cost of the trip is 60 * x.This can be written as an equation as follows:Cost = 60 * xOr, more simply:Cost = 60xThis equation represents the relationship between the number of miles you and your friend travel and the cost of the trip. As the number of miles increases, the cost of the trip also increases at a rate of 60 cents per mile.

Answer:

it's definitely F .. Your welcome

Answer:

x-9

Step-by-step explanation: