Find the value of x.

The equation of the circle with center at (-1, 5) and passes through the point (2, 9) is equal to (x + 1)² + (y - 5)² = 25.

Mathematically, the standard form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

Next, we would determine the length of the radius (r) by using the distance formula. Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Substituting the given parameters into the formula, we have;

Radius = √[(2 - (-1))² + (9 - 5)²]

Radius = √[(2 + 1)² + (4)²]

Radius = √[3² + 4²]

Radius = √[9 + 16]

Radius = √25

Radius = 5 units.

For the equation of a circle, we have:

(x - h)² + (y - k)² = r²

(x - (-1))² + (y - 5)² = 25

(x + 1)² + (y - 5)² = 25

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Complete Question:

Write the equation of the circle with center at (-1, 5) and passes through the point (2, 9).

Answer:

the answer for this question is -3,248

Answer:    

x=-9 , x=-8 , x=15 , x=-13 , x=3 , x=-4 , x=5 , x=6 , x=-24 , x=-7 , x=-16

Step-by-step explanation:

-10.27 is the value of x in  equation [tex]e^{\frac{x}{5} + 4}[/tex] = 7 solved by  using natural logarithms

We have been asked to find x in  [tex]e^{\frac{x}{5} + 4}[/tex] = 7 using natural logarithms

⇒   [tex]e^{\frac{x}{5} + 4}[/tex] = 7

⇒ [tex]\frac{x}{5}[/tex] + 4 = ㏑(7)

⇒  [tex]\frac{x}{5}[/tex] = ㏑(7) - 4

⇒ x = ㏑(16807) - 20

       = -10.27

A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Typically, the natural logarithm of x is denoted by the symbols ln x, loge x, or, if the base e is implicit, just log x. When adding parentheses for clarity, the values ln(x), loge(x), or log (x). In order to avoid ambiguity, this is notably done when the argument to the logarithm is not a single symbol.

The power to which e would need to be raised in order to equal x is the natural logarithm of x.

For instance, e2.0149... = 7.5, thus ln 7.5 equals 2.0149.

Since e1 = e, the natural logarithm of e itself, or ln e, is equal to 1, while the natural logarithm of 1 is 0, since e0 = 1.

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Use natural logarithms to solve each equation.

[tex]e^{\frac{x}{5} + 4}[/tex] = 7

The total simple interest paid by her is R6,600 and the rate of simple interest  is 22%.

Given that

To find

So, according to the question

We have,

After trading in and depositing, the balance was as follows:

= Cost of television - Selling price of old television - Deposit by her

= 20,000 - 3,000 - 2,000

= R15,000

The total simple interest paid by her in 2 years:

= (900 x 2 x 12months) - 15,000

= R6,600

The rate of simple interest given by her in 2 years:

= (6,600 / 2 years) / 15,000

= 22%

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Answer:

A. Shawn's Poster

Step-by-step explanation:

It uses perimeter, and the formula is L*W.

Christie hiked 1/4 and Jackie hiked 3/5  MORE. More means Subtraction so it would be  [tex]\frac{3}{5} -\frac{1}{4}[/tex]

Same thing for the other two. They represent subtraction because of their keywords. Here is a list below of what you need to look for, for each control (+,-,x,÷)

Hope this helps

~R3VO

Given u = (-1, 3), v = ( 2, 4) , and w = (2, -5), by applying scalar multiplication of vectors, ³/₂ v = (3, 6)

In the 2D coordinate system, vectors can be split into x-component and y-component.

We can write, for example, a vector s = (4,–1), which means:

x-component = 4

y-component = –1

Some vector operations:

In the given problem:

u = (-1, 3), v = ( 2, 4) , and w = (2, -5)

Then,

³/₂ v = ³/₂ . (2, 4)

          = ( ³/₂ . 2, ³/₂ . 4)

          =(3, 6)

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On solving the logarithmic function, 2 ln x+3 ln 4=4, we get value of x as is x = √e⁴ - 63.

In mathematics, the opposite of exponentiation is the logarithm. This means that the logarithm of a given number, base b, represents the exponent to which that number must be increased in order to get a certain number, x.

Given equation is -

2 ln x + 3 ln 4=4

⇒ ln x² + ln 4³ = 4

⇒ ln (x² + 4³) = 4

⇒ taking e

⇒ log e(x² + 4³) = 4

⇒ e⁴ = x² + 4³

⇒ e⁴ = x² + 63

⇒ x = √e⁴ - 63

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The value of test_val after the following code is executed is: 13.

Python can be defined as a high-level programming language that is designed and developed to build websites and software applications, especially through the use of dynamic commands (codes or semantics) and data structures.

A variable can be defined as a specific name which refers to a location in computer memory and it is typically used for storing a value such as an integer or string.

Based on the given Python code, we have:

if a * 2 == test_val:

if 12 * 2 ≠ 6:

Therefore, we have:

test_ val = a + 1

test_ val = 12 + 1

test_ val = 13.

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The result of the expression -(3)⁰.⁵x for x = -2 is 3.4, for x = 0 is 0 and for x = 2 is - 3.4

The question states to evaluate the given expression, that is, -(3) ⁰.⁵ x for the given values of x, that are, x = -2, x = 0, and x = 2.

This question can be easily solved by using the concept of substitution. We have to substitute the given values of x in the given expression one after the other and note the answer.

For x = -2.

we get, -(3) ⁰.⁵ ( - 2) = - 1.7 * (-2) = 3.4

For x = 0.

we get, -(3) ⁰.⁵ ( 0 ) = - 1.7 * ( 0 ) = 0

For x = 2.

we get, -(3) ⁰.⁵ ( 2 ) = - 1.7 * ( 2 ) = - 3.4

Therefore, we get the result of the expression -(3)⁰.⁵ x for x = -2 as 3.4, for x = 0 as 0 and for x = 2 as - 3.4

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Answer:

b > 5/6 or b < 11/6

Step-by-step explanation:

1.  Divide both sides by -4
[tex]\dfrac{-4(|6b-8|)}{-4} < \dfrac{12}{-4}[/tex]

2. Simplify above
[tex]|6b-8| > -3[/tex]

3. The absolute value of an expression means that the expression can be positive or negative
Here |  | represents the absolute value of 6b-8

For an absolute value to satisfy the above inequality
either 6b - 8 > -3 or 6b - 8 < - (-3)

(This follows from the fact that if |x| > -a, x > -a
or x < -(-a) ) which is the same as x < a

First case: 6b - 8 > -3:

6b - 8 + 8  > -3 + 8     ( Add 8 to both sides)
==> 6b > 5
==> 6b/6 > 5/6                   (Divide both sides by 6)
==> b > 5/6  

Second case: 6b - 8 < 3
6b −8 + 8 <3 + 8                    (Add 8 to both sides)
==> 6b<11                                    

==> 6b/6 < 11/6    (Divide both sides by 6)

==> b < 11/6

one serving is 432/19=27

27g are in one serving

Answer: Y= -2/-18 or Y= 0.1111X=-2(-0.1111) +1or X=0.77778

Step-by-step explanation:

Answer:

Parallel lines have the same slope, so the slope of the other line is also 1/6

Step-by-step explanation:

Parallel lines have the same slope, so the slope of the other line is also 1/6

Expression as a single natural logarithm is 1.38629436112

ln 24- ln 6

ln(24/6)

ln 4 = 1.38629436112

The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.

The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).

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The multiplicative inverse of a number is  a number that when multiplied by the original number gives the product as 1. The multiplicative inverse of 'a' is denoted by a-1 or 1/a. In other words, when the product of two numbers is 1, they are said to be multiplicative inverses of each other. The multiplicative inverse of a number is defined as the division of 1 by that number. It is also called the reciprocal of the number. The multiplicative inverse formula says that the product of a number and its reciprocal is 1.

There are various types of numbers like natural numbers, fractions, unit fractions, negative numbers, etc. Let us understand the multiplicative inverse formula for each type of number.

Natural numbers are counting numbers starting from 1. The multiplicative inverse of a natural number a is 1/a.

Multiplicative Inverse of Integers

Finding the multiplicative inverse of positive integers is the same as natural numbers (explained above). Just like positive integers, the product of a negative number and its reciprocal must be equal to 1. Thus, the multiplicative inverse of any negative number is its reciprocal. For example, (-6) × (-1/6) = 1, therefore, the multiplicative inverse of -6 is -1/6. Note that the multiplicative inverse of a negative number is always negative. And, in the multiplicative inverse of a negative integer, the negative sign will attach to the numerator, and not with the denominator.

How to Find Multiplicative Inverse of a number :

The multiplicative inverse of a number is also known as its reciprocal. It is very easy to find the multiplicative inverse of a number using the following steps:

Step 1: Divide the given number by 1.

Step 2: Write it in the form of a fraction. Say, the reciprocal of a is 1/a.

Step 3: Simplify and get the answer.

Let us find the multiplicative inverse of 2/3. The first step is to divide it by 1, which will result in 1/(2/3) = 3/2. Therefore, the reciprocal of 2/3 is 3/2.

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Having 7 tiles named A to G in a bag and picking 3 of them have the probability that they'll spell BAG is 0.0050.

Probability is the chance of occurring a certain event out of the total possible events that can occur in a given scenario.

According to the given question you put 7 tiles with the letters A through G into a bag.

Total no. of sample space N(S) = 7.

∴ The probability of getting getting B named tile P(B) is = 1/7.

Now as we are not replacing the tiles there are 6 tiles now so probability of getting A named tile P(A) = 1/6 and in the same way probability of getting G named tile is P(G) = 1/5.

∴ The probability that they will spell BAG P(BAG) is = (1/7)×(1/6)×(1/5)                      = 0.0050.

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Answer:

38.97 kilograms

Step-by-step explanation:

38 ones and 97 hundredths

38                  0.97

38.97

Answer:7

Step-by-step explanation:

just gotta add it up all good

Answer:

7

Step-by-step explanation:

The correct option is D. V = 30-0.1t² ; represents the the volume of water in m³ after t minutes of pumping.

For the given question;

The values for the time of pumping and the volume of water is given;

use them to find the equation which represents their relation.

when, time t = 5

put the values in the options.

a. V = 30 - 2.5 × 5 = 17.5    .....(wrong)

b. V=30 - 0.5 × 5 = 27.5       .....(correct)

c. V = 30 - 0.5 × 25 = 17.5     ......(wrong)

d. V = 30 - 0.1 × 25 = 27.5      ........(correct)

Now, check at time t = 10 just for the correct value.

b. V = 30 - 0.5 × 10 = 25 .....incorrect

d. V = 30 - 0.1 × 100 = 20   ......correct

Therefore, the relation of the water pumped with time is given by the relation; V = 30-0.1t².

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The complete question is-

The table shows the volume of water in cubic meters, V, in a tank after water has been pumped out for a certain number of minutes.

Which equation could represent the volume of water in cubic meters after t minutes of water being pumped out?

A. V = 30-2.5t

B. V = 30-0.5t

C. V = 30-0.5t²

D. V = 30-0.1t²

Answer:

24

Step-by-step explanation:

1.2(3x+2y)

add in our X and Y number

1.2(3(4) + 2(4))

Do the multiplication

1.2(12 + 8)

Distribute 1.2

14.4 + 9.6

add them together and you get

24

When you take the square root of 11, the result is neither a terminating nor a repeating decimal. Therefore, it is: 2. irrational number.

In Mathematics, there are six (6) common types of numbers and these include the following:

An irrational number can be defined a type of number which comprises non-terminating or non-repeating decimals such as the square root of 11.

In conclusion, when you take the square root of 11, the result is neither a terminating nor a repeating decimal. Therefore, it is an irrational number.

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Answer:

-1

Step-by-step explanation:

Use slope formula.

y2-y1/x2-x1

(2, -1) and (-3, 4)

4+1/-3-2=

=5/-5=-1

The slope is -1. The line is slanted down from left to right.

Hope this helps!

Please mark as brainliest if correct!

Answer:

y = - x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, - 1 ) and (x₂, y₂ ) = (- 3, 4 )

m = [tex]\frac{4-(-1)}{-3-2}[/tex] = [tex]\frac{4+1}{-5}[/tex] = [tex]\frac{5}{-5}[/tex] = - 1 , then

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 3, 4 )

4 = 3 + c ⇒ c = 4 - 3 = 1

y = - x + 1 ← equation of line

The inverse for the function f (x) = ∛x / 3 will be f ⁻¹ (x) = 3 x³.

We are given the function:

f (x) = ∛x / 3

we need to find the inverse of the function.

First we will write the function in the form of x.

y = ∛x / 3

y³ =  x / 3

3 y³ =  x

x = 3 y³

So, the inverse function will be:

f ⁻¹ (x) = 3 x³

Therefore, the inverse for the function f (x) = ∛x / 3 will be f ⁻¹ (x) = 3 x³.

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Damian should cut the ribbons into pieces of 21 meters.

To answer this, we need to find the maximum common factor between the two lengths of ribbon, which are 63 and 105.

If we rewrite both of these numbers as a product between prime factors we get.

63 = 3*3*7

105 = 3*5*7

Then the maximum common factor between these two numbers is 3*7 = 21

Then we conclude that Damian should cut the ribbons into pieces of 21 meters.

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The number of possible outcomes are 6 if we have 3 spinners labeled Red, Blue, Yellow by using permutations.

There are 3 spinners:

Red

Blue

and yellow.

Number of possible outcomes will be calculated by using permutation.

So, we get that:

Number of possible outcomes = 3 × 2

Number of possible outcomes = 6 ways.

Therefore, the number of possible outcomes are 6 if we have 3 spinners labeled Red, Blue, Yellow by using permutations.

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The value expression represents another method of computing the product given

Thus option A. (-1)((1 × 76) + (0.45 × 76)) has value -110.2 . So it is correct option.

-1.45*76 =-110.2

Now checking all the option one by one if any option has the value -110.2

then it is correct

A. (-1)((1 × 76) + (0.45 × 76))

   (-1)(76 + 34.2)

   =-110.2

B. (-1)(-1.45 - 76)

     (-1)(-77.5)

   = 77.5

C. (-1)(-1.45 + 76)

  (-1)(74.5)

  = -74.5

D. (-1)(-1.45 × 76)

   (-1)(-110.2)

= 110.2

Thus option A. (-1)((1 × 76) + (0.45 × 76)) has value -110.2 . So it is correct option.

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