I need help for the slope:


Plz help meee

Answer: h>0 and k>0

Step-by-step explanation:

If the circle is centered in Quadrant I, then both the x and y coordinates of the center are positive.

This means that h>0 and k>0.

Answer:

B.

Step-by-step explanation:

Answer:

Graph D

Step-by-step explanation:

First we need to solve the equation to get it in slope-intercept form(y= mx + b)

Equation: y - 4 = 2(x - 1)

Distribute;

y - 4 = 2x - 2

Add 4 to both sides;

y = 2x + 2

The slope is 2 and the y-intercept is 2. The starting point is 2 and the rate of change is 2

There are the following groups of 3/4 in each of these quantities:

we can determine the groups of 3/4 in each quantity using division operation.

Division operation is one of the four basic mathematical operations, including addition, multiplication, and subtraction.

The division operation involves the dividend (the numerator), the divisor (the denominator), and the result of the operation called the quotient.

3/4 = 0.75

a) 1¹/₄ = 1.25

1.25/0.75

= 1.667 parts

b) 6¹/₂ = 6.5

6.5/0.75

= 8.67 parts

Thus, there are 1.67 groups of 3/4 in 1¹/₄ and 8.67 parts in 6¹/₂.

Learn more about division operation at https://brainly.com/question/4721701.

#SPJ1

B. Both functions are decreasing, but function g is decreasing at a faster average rate on that interval.

Let's clarify the comparison between the functions f(x) and g(x) and explain the rates of decrease more accurately.

The given table represents the values of function g(x) for different values of x: x = 0, 1, 2, 3, 4.

The corresponding values of g(x) are 75, 43, 27, 19, and 15, respectively.

Function f is described as an exponential function that has an initial value of 64 and decreases by 50% as x increases by 1 unit.

However, we don't have the specific values of f(x) for the interval [0, 4].

So, we cannot compare the exact values of f(x) and g(x) directly.

Now, let's compare the average rates of decrease between the two functions:

For function f, we know that it decreases by 50% as x increases by 1 unit. This means that for every unit increase in x, the value of f(x) decreases by half of its previous value.

On the other hand, for function g, we can observe the values in the table. As x increases from 0 to 1, g(x) decreases from 75 to 43.

This is a decrease of 32, which represents a decrease of (32/75) \(\times\) 100% ≈ 42.67%.

From the given information, we can conclude that function g is decreasing at a faster average rate compared to function f on the interval [0, 1].

However, without further information or additional data points, we cannot make a definitive comparison for the entire interval [0, 4].

Therefore, the correct statement regarding the comparison of the two functions on the interval [0, 4] would be:

B. Both functions are decreasing, but function g is decreasing at a faster average rate on that interval.

For similar question on functions.

https://brainly.com/question/27915724  

#SPJ11

y = x + 1,If you know the value of x, you can solve for y by plugging the value of x into the equation and then solving for y. if x = 4,y = 4 + 1y = 5.

The equation is a mathematical expression that consists of symbols and numbers, and is used to calculate a numerical value or result. The symbols in the equation represent variables or constants, which are either given values or unknowns that need to be solved. An equation can also be used to describe relationships between different concepts, such as physical laws or chemical reactions.

y = 2x - 5

To solve for y, rearrange the equation to isolate y on one side. Subtract 2x from both sides to isolate y on the left side:

y - 2x = -5

Now add 2x to both sides to get y by itself on the left side:

y = 2x - 5

Therefore, the solution for y is 2x - 5.

To learn more about equation

https://brainly.com/question/17145398

#SPJ1

Answer:

C.) 2x+3 = 12

Step-by-step explanation:

x+x=2x

2x-(-3) is 2x+3

Rate this brainliest

A correlation value of 0.05 indicates that the number of bedrooms in a home and its selling price have a very weak relationship. This suggests that the number of bedrooms is not a good predictor of a home's selling price.

With a correlation of 0.05, the number of bedrooms has a very small impact on the selling price, and other factors such as location, size, age, and quality of the home are likely to have a much larger impact.

It is critical to remember that a low correlation value does not necessarily imply that there is no relationship between the two variables, but rather that the relationship is weak or insufficient to make predictions based on.

Other potential confounding variables that could affect the relationship between the number of bedrooms and selling price should also be considered, and multiple regression analysis should be used to further investigate the relationship.

To learn more about correlation.

https://brainly.com/question/28898177

#SPJ4

Answer

\(168in^{2}\)

Step-by-step explanation:

SA=2(wl+hl+hw)

2·(6·2+9·2+9·6)

=168

Answer:

4

Step-by-step explanation:

4 x 4 is 16 and then because of the negative you take away 4 so its 12.

Answer:

a=4

Step-by-step explanation:

-4+4a=12

add four to 12

4a=16

divide

The ordered pairs of y = 3x + 1  are (0,1), (1, 4), (2, 7) (3, 10) and  (-1, -2)

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The given equation of line is y = 3x + 1

In the given equation the slope is 3.

We need to find the ordered pairs.

When x=0, y=1 so the ordered pair (0,1)

When x=1,

y=3+1=4

so the ordered pair (1, 4)

When x=2

y=7

The ordered pair (2, 7)

When x=3

y=3(3)+1=10

The ordered pair (3, 10)

When x=-1

y=3(-1)+1=-3+1=-2

The ordered pair (-1, -2)

Hence, the ordered pairs of y = 3x + 1  are (0,1), (1, 4), (2, 7) (3, 10) and  (-1, -2)

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ1

The population of birds to increase by 50% in 31.25 years.

The differential equation for the population of birds is:

dp/dt = 0.016P

where P is the population of birds and t is time in years.

To obtain the time it takes for the population to increase by 50%, we need to solve for t when P increases by 50%.

Let P0 be the initial population of birds, and P1 be the population after the increase of 50%.

Then we have:

P1 = 1.5P0 (since P increases by 50%)

We can solve for t by integrating the differential equation:

dp/P = 0.016 dt

Integrating both sides, we get:

ln(P) = 0.016t + C

where C is the constant of integration.

To obtain the value of C, we can use the initial condition that the population at t=0 is P0:

ln(P0) = C

Substituting this into the previous equation, we get:

ln(P) = 0.016t + ln(P0)

Taking the exponential of both sides, we get

:P = P0 * e^(0.016t)

Now we can substitute P1 = 1.5P0 and solve for t:

1.5P0 = P0 * e^(0.016t

Dividing both sides by P0, we get:

1.5 = e^(0.016t)

Taking the natural logarithm of both sides, we get:

ln(1.5) = 0.016t

Solving for t, we get:

t = ln(1.5)/0.016

Using a calculator, we get:

t ≈ 31.25 years

Learn more about rate of change here, https://brainly.com/question/8728504

#SPJ11

Step-by-step explanation:

remember the trigonometric triangle in the circle.

sine is the up/down leg, cosine is the left/right leg.

and because we are not in the norm-circle with radius 1, we have to multiply every trigonometric function by the actual radius (13).

so, we could pick any side I choose the shorter one :

5 = cos(theta)× 13

cos(theta) = 5/13 = 0.384615385...

theta = 67.38013505...° ≈ 67.4°

Let a represent the volume of solution A. If it contains 2% of alcohol, then the amount of alcohol that A contains is 2/100 * a = 0.02a

If A = 200, then the amount of alcohol in A is 0.02 * 200 = 4

Let b represent the volume of solution B. If it contains 7% of alcohol, then the amount of alcohol that B contains is 7/100 * a = 0.07b

The total volume of solution A and B is (a + b)

If the volume of A = 200, then the total volume or resulting mixture is 200 + b

If the mixture contains 5% alcohol, the the amount of alcohol in the mixture is

5/100 * (200 + b)

0.05(200 + b)

By equating the concentrations, we have

4 + 0.07b = 0.05(200 + b)

4 + 0.07b = 10 + 0.05b

0.07b - 0.05b = 10 - 4

0.02b = 6

b = 6/0.02

b = 300

She needs to use 300 milliliters of solution B

The least positive integer we can get as the product is 2.

Here we have the following set of numbers:

{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}

And we want to take the product between 3 of them and find the least positive integer that we can get as the product.

So it makes sence to choose the smallest absolute value numbers (not zero) such that one is positive and two are negative (we want two negative ones so the signs cancell eachother)

Then we will get:

1*(-1)*(-2) = 2

That is the least positive integer we can get as the product.

Learn more about products at:

https://brainly.com/question/794810

#SPJ1

Answer:y=\(y=-\frac{5}{6} x+100\)

Step-by-step explanation:

my answer was wrong and cannot be deleted :)

The simplified form of the expression 2x^2 - 3x - 2 remains as 2x^2 - 3x - 2.

To simplify the expression 8x - 2x - x^2, we can combine like terms by adding or subtracting coefficients.

8x - 2x - x^2

First, let's combine the x terms:

(8x - 2x) - x^2

This simplifies to:

6x - x^2

Therefore, the simplified form of the expression 8x - 2x - x^2 is 6x - x^2.

Now, let's simplify the expression 2x^2 - 3x - 2:

The expression is already in simplified form, and no further simplification is possible.

Therefore, the simplified form of the expression 2x^2 - 3x - 2 remains as 2x^2 - 3x - 2.

​for such more question on simplified form

https://brainly.com/question/11680269

#SPJ8

There should be no correlation between the runners' numbers and the order in which they finish the race. As a result, the correct answer is A.

The relationship between two variables is shown by the concept of correlation. It might be positive or negative, and it can be characterized as powerful or weak. In other words, the strength of the relationship between two variables is measured by their correlation. A positive correlation indicates that when the value of one data set rises, the value of the other data set also rises. A negative correlation indicates that while one data set grows, another one shrinks as a result. If there is no correlation between two pieces of data, it indicates that the two sets of data are not related in any way.

There is nothing in the question itself to indicate whether the given data has a positive or negative correlation. As a result, "no correlation", or r = 0, is the correct answer.

Learn more about positive correlation here: brainly.com/question/17180881

#SPJ4

The amount of money more in the account of Charlotte after 19 years than the money in account of Alyssa is, $13035.13

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

\(A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\\)

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Charlotte invested $33,000 in an account paying an interest rate of 7 3/4% compounded continuously for 19 years. The rate of interest is,

\(r=7\dfrac{3}{4}\\r=\dfrac{31}{4}\\r=7.75\)

Thus, the final amount in his account after 19 years is,

\(A=33000\times\left(1+\dfrac{7.75}{360\times100}\right)^{360(19)}\\A=143861.22\)

Alyssa invested $33,000 in an account paying an interest rate of 7 1/4% compounded daily. The rate of interest is,

\(r=7\dfrac{1}{4}\\r=\dfrac{29}{4}\\r=7.25\)

Thus, the final amount in her account after 19 years is,

\(A=33000\times\left(1+\dfrac{7.75}{360\times100}\right)^{360(19)}\\A=130826.09\)

The more money would Charlotte have in her account than Alyssa is,

\(D=143861.22-130826.09\\D=13035.13\)

Thus, the amount of money more in the account of Charlotte after 19 years than the money in account of Alyssa is, $13035.13

Learn more about the compound interest here;

https://brainly.com/question/24274034

#SPJ1

The polar curve r = -2 sin θ can be graphed by first plotting the graph of r as a function of θ in Cartesian coordinates. To do this, we can set r = y and θ = x, and then plot the resulting equation y = -2 sin x.

This graph will have the shape of a sinusoidal wave with peaks at y = 2 and troughs at y = -2.
To sketch the same polar curve in Cartesian form, we can use the conversion equations x = r cos θ and y = r sin θ. Substituting in the given polar equation, we get x = -2 sin θ cos θ and y = -2 sin² θ. Simplifying these equations, we get x = -sin 2θ and y = -2/3 (1-cos² θ). This graph will have the shape of a four-petal rose.
The graphs from Part (a) and Part (b) are different because they represent different equations. Part (a) is the graph of y = -2 sin x, which is a sinusoidal wave. Part (b) is the graph of a four-petal rose. However, both graphs share some similarities in terms of their shape and symmetry. They are both symmetrical about the origin and have a repeating pattern.
In conclusion, we can sketch a polar curve by first graphing r as a function of θ in Cartesian coordinates and then converting it to Cartesian form. The resulting graphs may look different, but they often share similar patterns and symmetries.

To learn more about polar curve, refer:-

https://brainly.com/question/28976035

#SPJ11

Given:

Bl parallel to RA.

To find:

The value of x.

Solution:

In triangle ATR and ITB,

\(\angle ATR\cong \angle ITB\)              [Common angles]

\(\angle ART\cong \angle IBT\)              [Corresponding angle]

\(\triangle ATR\sim \triangle ITB\)              [AA property of similarity]

We know that the corresponding sides of a similar triangle are proportional. So,

\(\dfrac{AT}{IT}=\dfrac{AR}{IB}\)

\(\dfrac{x}{x+8}=\dfrac{12}{18}\)

\(\dfrac{x}{x+8}=\dfrac{2}{3}\)

On cross multiplication, we get

\(3(x)=2(x+8)\)

\(3x=2x+16\)

\(3x-2x=16\)

\(x=16\)

Therefore, the correct option is C.

The probability that it hits region IV is 30%.

Probability:

Probability means the possibility of the particular event.

And it can be calculated as,

P(A) = n(A)/n(S)

Where,

P(A) is the probability of an event “A”

n(A) is the number of favorable outcomes

n(S) is the total number of events in the sample space.

Given,

At a carnival, the object of a game is to throw a dart at the board and hit region III.

Here we need to find the probability that it hits region IV.

Consider the board was look like the following figure.

Then based on the given figure,

First, we have to find the total area of the board and the area of the required region.

And then we have to compare it to calculate the Probability.

So, the total area of the board is,

=> total area of the board = (10 + 30)(10 + 15)

=> total area of the board = 1000 in²

Now, the The area of the region IV is

=> Area = (10)(30)

=> Area = 300 in²

Therefore, the probability that it hits region IV is

=> P = 300/1000

=> P = 30/100

=> P = 30%

Therefore, the probability that it hits region IV is 30%.

To know more about Probability here.

https://brainly.com/question/11034287

#SPJ4

The expression for the area under the graph of f(x) over the interval [2, 4] is given by the limit as n approaches infinity of the Riemann sum: A = lim(n→∞) Σ[f(xi)Δx].

To express the area under the graph of f(x) as a limit, we divide the interval [2, 4] into n subintervals of equal width Δx = (4 - 2)/n = 2/n.

Let xi be the right endpoint of each subinterval, with i ranging from 1 to n. The area of each rectangle is given by f(xi)Δx.

By summing the areas of all the rectangles, we obtain the Riemann sum: A = Σ[f(xi)Δx], where the summation is taken from i = 1 to n.

To find the expression for the area under the graph of f(x) as a limit, we let n approach infinity, making the width of the rectangles infinitely small.

This leads to the definite integral: A = ∫[2, 4] f(x) dx.

In this case, the expression for the area under the graph of f(x) over the interval [2, 4] is given by the limit as n approaches infinity of the Riemann sum: A = lim(n→∞) Σ[f(xi)Δx].

Evaluating this limit would yield the actual value of the area under the curve.

Learn more about Riemann sum here:

https://brainly.com/question/30404402

#SPJ11

The probability of selecting a brown M&M from this bag is 0.

Since there are no brown M&Ms mentioned in your bag, the probability of selecting a brown M&M is 0. In probability terms, we can express this as:

Probability of selecting a brown M&M = Number of brown M&Ms / Total number of M&Ms

There are 0 brown M&Ms, and there are a total of 4 green + 6 yellow + 7 purple + 3 red = 20 M&Ms in the bag. So the probability is:

Probability = 0 / 20 = 0

Thus, the probability of selecting a brown M&M from this bag is 0, meaning it's impossible with the given information.

Learn more about probability,

https://brainly.com/question/24756209

#SPJ11

we have that

1.5 meters represents 100%

so

Applying proportion

Find out how much percentage represents the difference (1.53-1.50=0.03 m)

100/1.5=x/0.03

solve for x

x=(100/1.5)*0.03

x=2%

therefore

Answer:

14.4

Step-by-step explanation:

Answer:

Question 1:

1. - 4

2. 4

3. - 15

4. 15

Question 2:

1. - 6

2. 6

3. - 6

Hope this helps :)

The Laplace transform of 0 is simply zero.

The Laplace transform is a mathematical tool that is used to convert a function from the time domain to the frequency domain. It is named after the French mathematician Pierre-Simon Laplace who developed the transform in the late 18th century.

The Laplace transform of 0 is 0.

The Laplace transform of a function f(t) is defined as:

F(s) = ∫[0,∞) e^(-st) f(t) dt

If we substitute f(t) = 0, then:

F(s) = ∫[0,∞) e^(-st) (0) dt

Since the integrand is 0 for all values of t, the integral evaluates to 0. Thus, the Laplace transform of 0 is 0.

Learn more about laplace transform at https://brainly.com/question/11630973

#SPJ11

Answer:

A = 140 in²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

here b = 20 and h = 14 , then

A = \(\frac{1}{2}\) × 20 × 14 = 10 × 14 = 140 in²

The side of the square equals half the minor axis of the ellipse.

To show that the side of the square is half the minor axis of the ellipse, we must prove that the angles of the ellipses and the squares are congruent. To do this, we must first draw in the diagonals of the square, which will form two additional isosceles triangles.

Since the ellipses are perpendicular, the angles of the ellipses and the squares will be the same. Since the angles of the isosceles triangles are equal, the side of the square must be equal to half of the minor axis of the ellipse. Therefore, the side of the square is equal to half of the minor axis of the ellipse.

For more questions like Minor axis click the link below:

https://brainly.com/question/29054958

#SPJ4