What is the center and radius of a circle whose equation is x2 + y2 -2x -6y -5 = 0?

19) g(x)=0 is the value of x at points where the line cuts the x-axis

From the graph that is at:

x=-7, x=1, x=3, and x=9

20) f(x)>g(x) where the curve f(x) is higher than the curve g(x), and this is at:

x<-3, 07

By solving a simple product we will see that 12% of 45 is equal to 5.4

If we have a number N and we want to take a percentage P of that number, the operation we need to do is:

new number = N*(P/100%)

Here the original number is N = 45 and the percentage is 12%, then we need to solve:

new number = 45*(12%/100%) = 5.4

Then the 12% of 45 is equal to 5.4

Learn more about percentages:

https://brainly.com/question/843074

#SPJ1

The solutions to the quadratic equation x² + 2x - 35 = 0 are x = -7 and x = 5.

To solve the quadratic equation x² + 2x - 35 = 0 by factoring, we need to find two numbers that multiply to -35 and add up to 2. After some trial and error, we can see that the numbers are +7 and -5. So we can write the equation as:

(x + 7)(x - 5) = 0

Using the zero-product property, we know that the only way for the product of two factors to be zero is if at least one of the factors is zero. Therefore, we set each factor to zero and solve for x:

x + 7 = 0 or x - 5 = 0

x = -7 or x = 5

So the solutions to the quadratic equation x² + 2x - 35 = 0 are x = -7 and x = 5.

To know more about quadratic equations follow

https://brainly.com/question/30164833

#SPJ1

Answer:

x = 10

Step-by-step explanation:

To find the value of x that will make the area of both figures to be equal, set the expression for the area of one figure equal to the other.

Thus:

(x + 5)×12 = x × 18

Solve for x

12x + 60 = 18x

Subtract 12x from each side

12x + 60 - 12x = 18x - 12x

60 = 6x

Divide both sides by 6

60/6 = 6x/6

10 = x

x = 10

Answer:55%

Step-by-step explanation:

1264/2300 ?/100

1264*100= 126400

126400/2300= 54.95 then round and get 55

The number of miles in the taxi ride is 18 miles

Equation:19.70=1.70+1x

Answer: x =18

What is the total fare?

The total fare for the taxi is the pick-up fee of $1.70 plus the $1 per mile multiplied by the number of miles covered

Total fair=1.70+1x

x is the number of miles covered

Total fair=19.70

19.70=1.70+1x

19.70-1.70=1x

18.00=1x

x=18.00/1

x=18

Find out more about total cost on: brainly.com/question/20694892

#SPJ1

Answer:

1/4

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

\(-2 ( x + 3) = -2 (x + 1) -4 \\-2x + 3 = -2x -2 -4\\-2x + 3 = -2x - 6\)

add \(2x\) to both sides

\(-2x + 3 + 2x = -2x - 6 + 2x \\3 = -6\)

That's impossible

so the equation no solution

Answer:

All real numbers ( -∞ ,∞)

Step-by-step explanation:

          Simplify \(-2(x+3)\)

          Apply the distributive property.

\(-2x-6=-2(x+1)-4\)

          Simplify  

\(-2(x+1)-4\)

\(-2x-6=-2x -6\)

          Move all terms containing  x  to the left side of the equation.

          Add  2  x  to both sides of the equation.

\(-2x-6+2x=0\)

          Combine the opposite terms in  

\(-2x-6+2x\)

          add \(-2x\) and \(2x\)

\(0-6= -6\)

\(-6= -6\)

Since \(-6= -6\) , the equation will always be true for any value of  x .  All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

( − ∞ , ∞ )

\(a = lw\)

\(a = (9)(4)\)

\(a = 36 \: {yds}^{2} \)

Answer:

Here we can understand that the shape is a rectangle as length is not equal to width.

Area of the rectangle in square yards when length is 9 yds and width is 4 yds will be,

Area of Rectangle = LENGTH × WIDTH

⇒ 9*4

⇒ 36 sd yds

Thus the are will be  36 sd yds

Therefore, we need to add approximately 0.0526 gallons of water (which is equivalent to about 6.63 fluid ounces) to 1 gallon of pure antifreeze to obtain a solution that is 95% antifreeze.

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation typically consists of one or more variables, coefficients, and constants, and it can include mathematical operations such as addition, subtraction, multiplication, and division. The expressions on both sides of the equation are separated by an equal sign, indicating that they have the same value. The goal of solving an equation is to determine the value of the variables that make the equation true. Equations are used in many areas of mathematics and science to model real-world phenomena and solve problems.

Here,

Let's assume that we need to add x gallons of water to 1 gallon of pure antifreeze to obtain a solution that is 95% antifreeze. We know that the final solution will contain 1 gallon of antifreeze, and that this will be 95% of the total solution (the remaining 5% will be water). So, we can write:

1 gallon of antifreeze = 95% of (1 gallon of antifreeze + x gallons of water)

We can simplify this equation by converting 95% to a decimal:

0.95 × (1 gallon of antifreeze + x gallons of water) = 1 gallon of antifreeze

Now we can solve for x by isolating it on one side of the equation. First, let's distribute the 0.95:

0.95 gallons of antifreeze + 0.95x gallons of water = 1 gallon of antifreeze

Next, let's isolate x by subtracting 0.95 gallons of antifreeze from both sides:

0.95x gallons of water = 0.05 gallons of antifreeze

Finally, we can solve for x by dividing both sides by 0.95:

x = 0.05 gallons of antifreeze ÷ 0.95

x ≈ 0.0526 gallons of water

To know more about equation,

https://brainly.com/question/28243079

#SPJ1

The correct particular solution to be taken in the method of undetermined coefficients for the nonhomogeneous differential equation y" + 4y = 3x cos(2x) is (d) yp(x) = x² [A cos(2x) + B sin(2x)] + x [C cos(2x) + D sin(2x)] + E cos(2x) + F sin(2x).

In the method of undetermined coefficients, when the nonhomogeneous term contains a term that is a solution to the associated homogeneous equation (in this case, cos(2x) and sin(2x) are solutions to the homogeneous equation y" + 4y = 0), we multiply the guess for the particular solution by x. Additionally, since the nonhomogeneous term includes x², we include x² terms in the guess.

Therefore, the correct form includes terms with x², x, and constants multiplied by cos(2x) and sin(2x). The constants A, B, C, D, E, and F are determined by substituting the guess into the original differential equation and comparing coefficients.

To learn more about undetermined coefficients click here.

brainly.com/question/30584001

#SPJ11

The largest interval on which the solution is defined is (-∞, -1) ∪ (-1, ∞). The interval notation for the largest interval is (-∞, -1) U (-1, ∞).

An initial-value problem is a type of boundary-value problem in mathematics, particularly in the field of differential equations.

The given initial-value problem is a separable differential equation, which can be written as:

dy/dt = -2(t + 1)y²

Integrating both sides, we get:

(1/y) = t² + 2t  + C

where C is the constant of integration.

Since we have an initial condition, we can use it to find the value of C:

y(0) = -1/15
C = -1/15

Solving for C, we get:

C = -1/15

So, the solution to the differential equation is:

(1/y) = t² + 2t -1/15

y = 1 / (t² + 2t -1/15)

The solution is defined for all t ≠ -1, since y = 0 is not defined. So, the largest interval on which the solution is defined is (-∞, -1) ∪ (-1, ∞). The interval notation for the largest interval is (-∞, -1) U (-1, ∞).

Learn more about the initial value problem here:
https://brainly.com/question/30503609
#SPJ1

Answer:

560

Step-by-step explanation:

Answer:

I think you mistype the question?

Step-by-step explanation:

8×3×4 is not 24

It should be 2(3 4)

(a) The probability that a given non-infected person comes in contact with a zombie is P(contact with zombie | X+ = i) = 1 - (1 - p)^i.

(b) The pair (Xt, Yt) is a Markov chain and the transition probabilities are the transition from (i,j) to (i+1,j-1) and the transition from (i,j) to (i,j+1).

(c) The distribution of X2 is P(X2 = k) = ∑((N-1 choose i)p^i(1-p)^(N-1-i)pk-i(1-p)N-k+i) for i = 0 to N-1.

(a) If X+ = i, the number of zombies on day t, then the probability that a given non-infected person comes in contact with a zombie during day t is given by the expression:

P(contact with zombie | X+ = i) = 1 - (1 - p)^i

This is because the probability that a given non-infected person does not come in contact with any of the i zombies is (1-p)^i, and therefore the probability that he or she does come in contact with at least one zombie is 1 minus this probability.

(b) The pair (Xt, Yt) is a Markov chain, where the state space is S = {(i,j) | 0 ≤ i ≤ N, 0 ≤ j ≤ N-i}. The transition probabilities are given by:

P((i,j) → (i+1,j-1)) = pij(1-p)j

P((i,j) → (i,j+1)) = 1 - ∑(pij(1-p)j) for i=0 to N-1

The first equation represents the transition from (i,j) to (i+1,j-1), meaning one zombie is cured and one non-infected person becomes a zombie. The second equation represents the transition from (i,j) to (i,j+1), meaning no zombie is cured and a non-infected person does not become a zombie.

(c) Suppose X0 = 1, Yo = N - 1. Then, the distribution of X2 is given by:

P(X2 = k) = ∑(P(X2 = k | X1 = i)P(X1 = i | X0 = 1, Y0 = N - 1)) for i = 0 to N-1

Using the Markov chain transition probabilities from part (b), we have:

P(X2 = k | X1 = i) = P((i,k-i) | (1,N-1)) = P((i,k-i) → (k,k-(k-i))) = pk-i(1-p)N-k+i

Therefore, we can write:

P(X2 = k) = ∑(pk-i(1-p)N-k+iP(X1 = i | X0 = 1, Y0 = N - 1)) for i = 0 to N-1

To find P(X1 = i | X0 = 1, Y0 = N - 1), we note that the conditional distribution of X1 given X0 = 1, Y0 = N - 1 is a binomial distribution with parameters N-1 and p. Thus:

P(X1 = i | X0 = 1, Y0 = N - 1) = (N-1 choose i)p^i(1-p)^(N-1-i)

Therefore, we can write:

P(X2 = k) = ∑((N-1 choose i)p^i(1-p)^(N-1-i)pk-i(1-p)N-k+i) for i = 0 to N-1

Learn more about "Markov chain":

https://brainly.com/question/30998902

#SPJ11

Answer:

m = 7

Step-by-step explanation:

3m + 8 + m = 36 , that is

4m + 8 = 36 ( subtract 8 from both sides )

4m = 28 ( divide both sides by 4 )

m = 7

Answer:

No

Step-by-step explanation:

An integer is a number that is whole. For example, 1.12 is not an integer, but 14 is.

The mean of the given set of data is 1.23.

Mean is the average of the given set of data.

Given is the probability distribution table.

We can write the mean from the probability distribution table as -

M = ∑ x.p(x)

M = 0 + (1 x 0.12) + (2 x 0.34) + (3 x 0.05) + (4 x 0.07)

M = 0 + 0.12 + 0.68 + 0.15 + 0.28

M = 1.23

Therefore, the mean of the given set of data is 1.23.

To solve more questions on statistics, visit the link -

brainly.com/question/30098550

#SPJ1

The value of the triple integral is -16.

Triple integral is a mathematical concept used in calculus to calculate the volume of three-dimensional objects. It extends the concept of a single integral to functions of three variables and integrates over a region in three-dimensional space.

The triple integral of a function f(x, y, z) over a region E in three-dimensional space is denoted by:

∭E f(x, y, z) dV

We can set up the triple integral as follows:

∫∫∫ 16y dV

Where the limits of integration are:

0 ≤ x ≤ 2

0 ≤ y ≤ (2- \(x^2\)z)/(2y)

0 ≤ z ≤ 2/\(x^{2y\)

Note that the upper bound of integration for y is not a constant, but depends on both x and z.

Integrating with respect to y first, we get:

∫∫∫ 16y dV = ∫0^2 ∫\(0^(2-x^2z)/(2x)\)∫\(0^(2/x^2y) 16y dz dy dx\)

= ∫\(0^2\) ∫\(0^(2-x^2z)/(2x) 32/x dx dz\)

= ∫\(0^2\) [16(\(2-x^2z)/x^2\)] dz

= ∫\(0^2 (32/x^2 - 16z)\) dz

= 32∫\(0^2 x^-2 dx - 16\)∫\(0^2\)z dz

= 16 - 16(2)

= -16

Therefore, the value of the triple integral is -16.

To learn more about triple integral  visit:https://brainly.com/question/30404807

#SPJ11

There are 59 ways to form a subcommittee with 3 women and 4 men from a committee consisting of 9 men and 9 women.

To determine the number of ways a subcommittee can be chosen with 3 women and 4 men from a committee consisting of 9 men and 9 women, we can use the concept of combinations.

The number of ways to choose k items from a set of n items is given by the formula for combinations, denoted as "n choose k" or written as C(n, k). It can be calculated as:

C(n, k) = n! / (k!(n - k)!)

In this case, we want to choose 3 women from a pool of 9 women (C(9, 3)), and 4 men from a pool of 9 men (C(9, 4)).

Therefore, the total number of ways to choose a subcommittee with 3 women and 4 men is:

C(9, 3) * C(9, 4) = (9! / (3!(9 - 3)!)) * (9! / (4!(9 - 4)!))

= (9! / (3!6!)) * (9! / (4!5!))

= (9 * 8 * 7) * (9 * 8 * 7 * 6) / (3 * 2 * 1 * 4 * 3 * 2 * 1 * 5)

= 84 * 126 / 120

= 7056 / 120

= 58.8

Rounding to the nearest whole number, the number of ways a subcommittee can be chosen is 59.

To know more about combinations refer here

https://brainly.com/question/20211959#

#SPJ11

The inverse of the function f(x) = √(x+1) is \(f^-1\)(x) = x² - 1.

Given a function f(x), its inverse function, denoted as \(f^-1\)(x), is a function that takes the output of f(x) and returns the original input. In other words, if y = f(x), then x = \(f^-1\)(y).

To find the inverse of the function f(x), we follow these steps:

Step 1: Replace f(x) with y:

   y = √(x+1)

Step 2: Interchange x and y:

   x = √(y+1)

Step 3: Solve for y:

   x² = y+1

   y = x² - 1

Step 4: Replace y with f^-1(x):

   f^-1(x) = x² - 1

Therefore, the inverse of the function f(x) = √(x+1) is \(f^-1\)(x) = x² - 1.

To verify this, we can check that (\(f^-1\) o f)(x) = x and (f o \(f^-1\))(x) = x for all x in the domain of the functions:

(\(f^-1\) o f)(x) = \(f^-1\)(f(x)) = (√(x+1))² - 1 = x

(f o \(f^-1\))(x) = f(\(f^-1\)(x)) = √((x² - 1) + 1) = √(x²) = |x| + 1

Since the range of f(x) is [0, infinity), we restrict the domain of \(f^-1\)(x) to [1, infinity) to ensure that the inverse is a function.

To know more about inverse function visit:

https://brainly.com/question/30350743

#SPJ1

Answer:

B. 2.2 kilometers

Step-by-step explanation:

⭐What is the change in the cyclist's elevation?

Thus, we need to solve for the value of the height (x) of the hill.

Notice that the hill is in the shape of a right triangle. In order to find an unknown side length for right triangles, we need to use a trigonometric function.

⭐What is a trigonometric function?

First, let's see what kind of side lengths we are given (opposite, hypotenuse, or adjacent).

We are given a side length of 10km, which is the hypotenuse of the triangle, and we are given a side length of x, which is the opposite of θ (13°).

Therefore, we will use the trigonometric function sin(θ) to solve for x.

Substitute the side lengths and angle measures we are given:

\(sin(13) = \frac{x}{10}\)

Set the equation equal to x:

\(10sin(13) = x\)

Solve for x. I recommend using a scientific calculator (e.g. Desmos Scientific Calculator):

\(2.2 = x\)

∴ The cyclist's change in elevation is 2.2 kilometers.

2.5 is the scale factor of the dilation triangle ABC was dilated and translated to form similar triangle A'B'C'

Given,

Triangles ABC and A'B'C' are similar

For ABC;- (x₁, y₁) = (0, 2) and (x₂, y₂) = (2, 2)

For A'B'C' ;- (x₁, y₁) = (-4, -1) and (x₂, y₂) = (1, -1)

We have to find the scale factor of the dilation;

Here,

Find the distance AB and distance A'B' with the formula

Distance, d = \(\sqrt{(y_{2} -y_{1})^{2} +(x_{2} -x_{1} )^{2} }\)

Then,

a) Distance of AB

d AB = \(\sqrt{(2-2)^{2}+(2-0)^{2} }\)

d AB = \(\sqrt{0^{2} +2^{2} }\)

d AB = √4

Distance of AB  = 2 units

b) Distance of A'B'

d A'B' = \(\sqrt{(-1+1)^{2} +(1+4)^{2} }\)

d A'B' = \(\sqrt{0^{2} +5^{2} }\)

d A'B' = √25

Distance of A'B' = 5 units

Now,

Scale factor;

Scale factor = Distance of AB / Distance of A'B'

Scale factor = 5/2

Scale factor = 2.5

Therefore,

2.5 is the scale factor of the dilation triangle ABC was dilated and translated to form similar triangle A'B'C'

Learn more about scale factor here;

https://brainly.com/question/3687760

#SPJ4

The equation for the given phrase is 4x-7=37 and the solution for the obtained equation is 11.

The given unknown number is x.

Seven less than four times a number, x is

4x-7

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

So, the equation is

4x-7=37

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, the solution is

4x=37+7

4x=44

x=44/4

x=11

Therefore, the equation for the given phrase is 4x-7=37 and the solution for the obtained equation is 11.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ4

Answer:

2

Step-by-step explanation:

Hey there!

The equation is asking us, c x c = 4

What is c?

Well the only number that is equal to 4 when you square it is 2

Answer:11 is false. Through any two points there is exactly one line. 12 is true. 13 is true. 14 is true. 15 is false. Two planes intersect at a line. 16 is false. A line and a plane would intersect at a point

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are three people who each use 1 cup of milk for breakfast.  That's a total of 3 cups, just for breakfast.  There is no information given on any other milk consumption, so we have to assume that is all the milk they drink in a day.

Over a 4 day period, that amounts to (4 days)*(3 cups/day) = 12 cups of milk in 4 days.

1 cup of milk is equal to 8 fluid ounces.  We can make this into a conversion factor:

                                (8 fluid oz)/(1 cup)

Since the top is equal to the bottom (8 oz = 1 cup), this numerically is equivalent to 1, which we can multiply by anything.

Let's multiply it times the 12 cups of milk the three consume in 4 days:

  (12 cups/4 days)*(8 fluid oz/cup)

Note that the cups cancel and we are left with the unit fluid oz/4 days.

 96 fluid oz over 3 days.  I don't see that as an option, so please check the numbers.

The proportion for the problem is 28 cm by 24 cm

From the question, we have the following parameters that can be used in our computation:

Scale: 2 cm = 1 foot

Also, we have

Dimensions = 14 ft by 12 ft

using the above as a guide, we have the following:

Scale dimensions = 2 * 14 cm by 12 * 2 cm

Evaluate

Scale dimensions = 28 cm by 24 cm

Hence, the proportion is 28 cm by 24 cm

Read more about scale drawing at

https://brainly.com/question/29229124

#SPJ1

Answer:

Mp= Rs 650

Dis= 2.5

Sp=?

Now,

Dis=Mp-Sp

Sp=Mp-Dis

=650-2.5

=647.5

Answer:

answer is 633.75 Rs.

Step-by-step explanation:

650- 2.5/ 100× 650 650-16.25 = 633.75 RS. the selling price of the item is 633.75 Rs