Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36

In a direct variation, y=9 when x=3. A direct variation equation that shows the relationship between x and y is y=3x

What do you mean by direct variation?

Direct variation is a type of proportionality when one quantity changes right away in reaction to a change in another variable. This implies that if one number rises, the other will follow suit in a comparable manner. Similar to the last illustration, if one quantity decreases, the other quantity also decreases. Direct variation will have a linear relationship with the graph, resulting in a straight line.

Given,

In a direct variation, y=9 when x=3.

Formulate an equation based on the conditions stated: y=kx

We put the value of the y and x in this equation

9=k*3

Subtract the coefficient of the variable from both sides of the equation

k= 3

We can write the equation of the function by putting the value of k:  y=3x

Hence the correct answer is y=3x

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Answer:

a) 12

b) 129

Step-by-step explanation:

a)

\(w, x \in \mathbb{Z}_{\ge 0}\)

\(w>50\\x<40\)

For the smallest value of \(w-x\), we gotta figure out the smallest value for w and the highest value for x.

\(w>50 \Rightarrow \text{ smallest value is } 51\)

For \(x\), once \(-(-x)=x\), we conclude that \(x\) cannot be negative and therefore, \(x=39\).

\(51-39=12\)

b)

\(y, z \in \mathbb{Z}_{\ge 0}\)

\(y<70\\z\leq 60\)

For the largest value of \(y+z\), we gotta figure out the highest value for y and z.

\(y<70 \Rightarrow \text{ highest value is } 69\)

\(z\leq 60 \Rightarrow \text{ highest value is } 60\)

\(y+z=69+60=129\)

Answer:

It would me shorter by about 31.4 inches

Step-by-step explanation:

Answer:

yes (longer)

Step-by-step explanation:

20π=62.83...

62.83...x10=628.31...

628.31.../12=52.35'

step one, finding circumference.

step two multiplying circumference by 10 pizzas

step three dividing 10x circumference by 12 inches to feet.

Answer:

Both the given angles are Vertically opposite and hence equal

So,

5d + 7 = 6d - 4

7 + 4 = 6d -5d

11 = d

The set of the bivariate data which is minimized by the line and used to create a least squares regression line is given by :

option B. The sum of all the squared residuals.

To get a set of bivariate data which help us to create a least squares regression line is :

Option A. The sum of the residuals : Here set values are positive and negative so total sum is zero.

Incorrect option.

Option B : Sum of squared residuals represents all the positive values.

By taking square error of the regression line get minimized by the line.

Correct option.

Option C. Absolute value of the residual will not give least squared regression line.

Incorrect option.

Option D. Outlies does not relate with regression line.

Incorrect option.

Option E. Slope will not define least squared value.

Incorrect option.

Therefore, the set of bivariate data representing least squared regression line is given by :

Option B . Sum of the squared residuals.

The above question is incomplete , the complete question is:

A set of bivariate data was used to create a least squares regression line. Which of the following is minimized by the line

A) the sum of the residuals

B) the sum of the squared residuals

C) the sum of the absolute value of the residuals

D) the influence of outliers

E) the slope

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The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.

To solve the nonlinear system of equations:

Equation 1: \(y = -x^2 + 7\)

Equation 2: y = 2x + 4

We can equate the right sides of both equations since they both represent y.

\(-x^2 + 7 = 2x + 4\)

To simplify the equation, we can rearrange it to be in the standard quadratic form:

\(x^2 + 2x - 3 = 0\)

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:

(x + 3)(x - 1) = 0

From this equation, we get two possible solutions:

x + 3 = 0 => x = -3

x - 1 = 0 => x = 1

Now, we substitute these x-values back into either equation to find the corresponding y-values.

For x = -3:

y = 2(-3) + 4

y = -6 + 4

y = -2

For x = 1:

y = 2(1) + 4

y = 2 + 4

y = 6

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Given:

I'm 3 times younger than my mom but 3 times older than my younger brother.

Mom is older than my younger brother by 40 years.

To find:

How old am I.

Solution:

Let x be the age of the younger brother.

I'm 3 times older than my younger brother. So, my age is 3x.

I'm 3 times younger than my mom. So, she is 3 times older than me and her are is 3(3x)=9x.

The difference between the age mother and younger brother is 40 years.

\(9x-x=40\)

\(8x=40\)

Divide both sides by 8.

\(x=\dfrac{40}{8}\)

\(x=5\)

Now,

My age \(=3x\)

            \(=3(5)\)

            \(=15\)

Therefore, I'm 15 years old.

When you multiply both sides of an equation with fractions with the lowest common denominator, it simplifies the equation, so that adding/subtracting/multiplying and or dividing makes it easier.

The solution to  4^x = 5^x +^2 is

x = -2log 5/( log 5 - log 4)

Option C is correct.

We will rewrite the equation as:

4^x = 5^x * 5^2

applying  the logarithm function to both sides of the equation.

log(4^x) = log(5^x * 5^2)

simplifying the right side of the equation, using the properties of logarithms,

log(4^x) = log(5^x) + log(5^2)

log(4^x) = xlog(4) = x2log(2)

log(5^x) + log(5^2) = xlog(5) + log(25)

Substituting these results back into the original equation, we have:

x2log(2) = x*log(5) + log(25)

x*(2*log(2) - log(5)) = log(25)

Divide  both sides by (2*log(2) - log(5)), we get:

x = x = -2log 5/( log 5 - log 4)

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Answer:

33 and 147

Step-by-step explanation:

it im wrong tell me i will redo it i dont see answer choices

The equation of the line that passes through the given points is

y = 1/3x + 5.

The formula for the equation of a line passing through two points (x1, y1) and (x2, y2) is

\((y-y1) = \frac{(y2-y1)}{(x2-x1)} (x-x1)\)

Where the fraction (y2 - y1)/(x2 - x1) is the slope of the line denoted by 'm'.

It is given that, a line passes through the points (-3,4) and (6,7).

So, the equation of the line is

\((y-y1) = \frac{(y2-y1)}{(x2-x1)} (x-x1)\)

On substituting x1 = -3, y1 = 4, x2 = 6, and y2 = 7

(y - 4) = [(7 - 4)/(6 + 3)](x + 3)

⇒ (y - 4) = (3/9)(x + 3)

⇒ (y - 4) = 1/3(x + 3)

⇒ y- 4 = 1/3x + 1

⇒ y = 1/3x + 1 + 4

∴ y = 1/3x + 5

Thus, the equation of the line passing through the points (-3,4) and (6,7) is y = 1/3x + 5. Where the slope m = 1/3.

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Answer:

8

Step-by-step explanation:

6/3 + 2 x 3

6/3 + 6

2 + 6=8

Answer:

\(2/3\)

Step-by-step explanation:

\(\frac{6}{3x}\)

\(\frac{6}{3(3)}\)

\(\frac{6}{9} =\frac{2}{3}\)

Answer:

$783.46

Step-by-step explanation:

Compounded interest rate (quarterly) formula: A = P(1 + r/4)^4t

Simply plug in our known variables and solve:

910 = P(1 + 0.015/4)^4(10)

910 = P(1.00375)^40

910 = 1.16151P

P = 783.464

Answer: 783

Step-by-step explanation:

The solution is, Option B.) one culture will have always 50 more bacteria than the other.

We have,

Calculating the exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function. Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.

Given:

We have,

The population, P, of bacteria in a culture can be calculated at any time, t, using the equation P= a(2).

In the equation, the initial number of bacteria is a.

The initial number of bacteria in two different cultures were 100 and 125.

so, in one cultures population, P, of bacteria is = 100(2)

                                                                             = 200

in the other cultures population, P, of bacteria is = 125(2)

                                                                             = 250

so, we get,

the two populations compare over time = 250 - 200

                                                                   = 50

Hence, The solution is, Option B.) one culture will have always 50 more bacteria than the other.

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Answer:

x=24

Step-by-step explanation:

Answer:

  see attached for a sketch

  area = 5 1/3 square units

Step-by-step explanation:

You want the area under the square root curve, above y=0, from x=0 to x=4.

The area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...

  dA = (√x)dx

  A = ∫(√x)dx

The power rule can be used for the integration:

  \(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)

The area of the region is 5 1/3 square units.

__

Additional comment

You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.

This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.

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Answer:

Step-by-step explanation:

7/10=70/100=70 percent

The percentage population increase from 2001 to 2011 is 50%.

To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.

The formula to calculate the percentage increase is:

Percentage Increase = ((New Value - Old Value) / Old Value) * 100

Plugging in the values:

Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%

Therefore, the percentage population increase from 2001 to 2011 is 50%.

Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.

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The search results are unrelated to the question of finding the reflection image of (5, -3) across the y-axis. To find the reflection image of a point across the y-axis, we need to change the sign of the x-coordinate of the point. Therefore, the reflection image of (5, -3) across the y-axis is (-5, -3).

Answer:

33.33 ft²

Step-by-step explanation:

→ Write down the formula for the area of a parallelogram

base × height

→ Substitute in numbers

\(8\frac{1}{3} *4\)

→ Simplify

33.33 ft²

Answer: A=33 1/3 ft²

Step-by-step explanation:

Answer: 27 minutes

Step-by-step explanation:

Using simple mathematical operations, we know that a-b can be -1, -2, and 0.

A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.

The supplied operands or integers must adhere to a set of predefined rules that are connected to the symbol of the math operator.

Parentheses, Exponents, Multiplication, Division, and Addition Subtraction are also known as PEMDAS (from left to right).

So, we have: 2 < a < 5, 3 < b < 7

Now, a - b will be:

the values of a can be 3 and 4

Similarly, the value of b can be 4 and 5.

So there are 4 possibilities as shown:

3 - 4 = -1

3 - 5 = -2

4 - 4 = 0

4 - 5 = -1

Therefore, using simple mathematical operations, we know that a-b can be -1, -2, and 0.

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Answer:

Oldest to newest:

10^-35, 10 ^-10, 0

Step-by-step explanation:

Scientific notation

To figure out the power of 10 think "how many places do I move the decimal point?"

When the number is 10 or greater the decimal point moves to the left, and the power of 10 is positive.

When the number is smaller than 1 the decimal point moves to the right, so the power of 10 is negative.

Answer:

tourist: 28%

non-tourist: 72%

Step-by-step explanation:

total: 50

tourists: 14

non-tourists:50 - 14 = 36

tourist percentage: 14/50 × 100% = 28%

non-tourist percentage: 36/50 × 100 = 72%

9514 1404 393

Answer:

  3

Step-by-step explanation:

For x > 0, the function f(x) is ...

  f(x) = 3x -4 . . . . . . . . for x > 0

Translating this down 1 unit makes it ...

  g(x) = f(x) -1 = 3x -5

The rate of change for any interval such that x > 0 in the whole interval is the coefficient of x: 3.

The rate of change on the interval is 3.

__

If you like, you can find the rate of change from ...

  m = (g(5) -g(2))/(5 -2) = (10 -1)/3 = 9/3 = 3

The rate of change is 3.

Here the statements 1, 2, 3, 4, 5, 7, 8, 10 are correct according to the rules of the shapes.

1: A rhombus is a quadrilateral with four equally sized sides. Each square is a rhombus since they all have four sides that are the same length. 2: Due to the parallel alignment of its opposing sides, every rhombus is a parallelogram. 3: It is true that all rectangles are parallelograms since they have two sets of parallel sides and two pairs of equal opposing sides. 4: The other is split into two equal halves by each bisector. 5: If a quadrilateral's diagonals are equal and bisect one another at right angles, it is a square. 7: Since the diagonals themselves are congruent, each bisected line segment is also congruent. 8: The diagonals split a rhombus's vertex angles into equal halves. The diagonals of a rhombus are at right angles to one another. 10: A square is a rhombus. Sometimes, this is accurate. When a rhombus has four right angles, it is true. So the statements 1,2,3,4,5,7,8,10 are correct.

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The following sets of side dimensions could be combined to create a right triangle 6, 8, 13 is √3, √13, 4.

In the triangle, there are three angles: two acute angles and one 90-degree angle. The hypotenuse, perpendicular, and base are the terms used to describe the sides of a right-angled triangle.

The next choice shows the triangle's side length:

The point is,

The hypotenuse square of a right-angled triangle is equal to the sum of its squares on its other two sides, according to Pythagoras' Theorem.

Using Pythagoras' Theorem.

Use the formula:

a² + b² = c²

For 4, 8, 11

4, 8, 11

4² + 8² = 16 + 64 = 80

11² = 121

80 is not equal to 121 it cann ot form a right triangle

For 6, 8, 13

6² + 8² = 36 + 64 = 100

13² = 169

100 is equal to 169 - 69 can form a right triangle

For √3, √5, 8

(√3)² + (√5)² = 3 + 5 = 8

8² = 64

8 is equal to 64 cannot form a right triangle

For √3, √13, 4

(√3)² + (√13)² = 3 + 13 = 16

4² = 16

16 is equal to 16 can form a right triangle

In order to create a right triangle, one may utilise the following set of side measurements √3, √13 and 4 form a triangle.

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Answer:

Yes

Step-by-step explanation:

Any equation that is to the second degree is quadratic.

Answer:

Imma say A i'm sorry if it is incorrect

Step-by-step explanation:

I love your pfp btw