This is the numbers 5-6

The slope of the least squares regression line represents the rate of change of the output variable relative to the input variable.

The slope-intercept representation of a linear function is given by the equation shown as follows:

y = mx + b

The coefficients m and b have the meaning presented as follows:

The least squares line is a linear function, hence the slope represents the rate of change of the output variable relative to the input variable.

More can be learned about linear functions at https://brainly.com/question/15602982

#SPJ1

Answer: 1.45 is a growth factor.

Step-by-step explanation:

Exponential growth function: \(y=Ab^x\), where A = initial value , b = growth factor (if b>1)

Here, The expression \(6.7\cdot(1.45)^t\) models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project t years since 2002.

Here, b=1.45 >1

Thus,1.45 is a growth factor.

The Non-real solutions for the equation \(x^{4} -x^{3}+10x^{2} -16x-96=0\) are (-4i, 4i).

Non-real solution:

An answer to a mathematical equation with the root of a negative number that cannot be determined using solely real numbers—i.e., numbers that can be described along a single axis—is referred to as a non-real solution.

If a quadratic has a negative discriminant, then the quadratic equation has a Non-real solution.

Given,

         \(x^{4} -x^{3}+10x^{2} -16x-96=0\)

On factorizing the above equation, we get

             \((x-3)(x-2)(x^{2} +16)=0\)

Applying Zero Product Property,

\(x^{2} +16 = 0\)      or     \(x-3=0\)     0r     \(x+2=0\)

Taking \(x^{2} +16 = 0\), we get

                \(x^{2} =-16\)

                x = ± \(\sqrt{-16}\)

                x = ± 4i              [∵ i = √-1]

Hence,

      The Non-real solutions for the equation \(x^{4} -x^{3}+10x^{2} -16x-96=0\) are (-4i, 4i).

Learn more about Non-real Solutions here

https://brainly.com/question/27997332

#SPJ4

Answer:

C

Step-by-step explanation:

edge 2026

Answer:658.73

Step-by-step explanation:

6.25 percent of 619.98 is $34.74875

we round $34.74875 to $34.75

then we add

619.98 + 34.75 = 658.73

PLEASE MARK BRAINLIEST AND GIVE 5 STARS.

Answer:

The answer is C

Step-by-step explanation:

Area of a parallelogram= bh

b- base

h- height

y in your problem would be the base and h would be the height

Answer:

the answer is 12.08

Step-by-step explanation:

Use the distance between point formula

Answer:

29 points

Step-by-step explanation:

Jamal+Joey=65

We know Jamal has 36 points so...

36+Joey=65

subtract 36 from both sides

36-36+Joey=65-36

Joey=29

To determine the volume of a cylinder, use the formula πr² x h where,

Given:

We can substitute the given values to the formula:

Answer:

Wxndy~~

Answer:

D

Step-by-step explanation:

Answer:

x = 41°

Step-by-step explanation:

Angle ABC is an inscribed angle because it has a vertex on the circle. Therefore, we can say that angle ABC is equal to half the arc it intercepts, which is AC. Since AC is equal to 82°, angle ABC would be half of that, or 41°.

Answer:

3.16

Step-by-step explanation:

Because 4 3/4 divided by 2/3 is 3.16666666667 and 3.16666666667 simplified is 3.16. So 3.16 is the answer.

Hope this helps!

The differential equation describing the cell phone sales is: dy/dt = (8/475)y(100 - y/4)

The logistic growth model is typically described by the following differential equation:

dy/dt = ry(1 - y/K)

where y is the population size, t is time, r is the intrinsic growth rate, and K is the carrying capacity (maximum population size).

In this case, we know that the carrying capacity is K = 100 (thousand cell phones). We also know that when t = 0 (i.e., at the beginning of sales), y = 0. Furthermore, we know that sales are increasing by 8 thousand phones per month when 38 thousand phones have been sold. This means that the growth rate, r, is also a function of y:

r(y) = 8*(1 - y/38)

Putting this all together, we can write the differential equation for the cell phone sales as:

dy/dt = r(y)y(1 - y/K)

Substituting the expression for r(y) yields:

dy/dt = 8*(1 - y/38)y(1 - y/100)

Simplifying further, we get:

dy/dt = (8/475)y(100 - y/4)

So the differential equation describing the cell phone sales is:

dy/dt = (8/475)y(100 - y/4)

To learn more about differential equation  visit:  https://brainly.com/question/14620493

#SPJ11

The crank angle value when the piston is at Top Dead Center (TDC) is 0 radians or 0 degrees. The maximum ratio of the crank radius to the connected length is 0.3.

The crank angle value refers to the angle between the crankshaft and a reference point when measuring the position of the piston. When the piston is at Top Dead Center (TDC), it is at its highest point in the cylinder. The crankshaft is positioned such that the connecting rod is aligned with the crank radius and the piston is at the topmost position. This corresponds to a crank angle value of 0 radians or 0 degrees.

Regarding the maximum ratio of the crank radius to the connected length, this value is given as 0.3. The crank radius is the distance from the center of the crankshaft to the center of the crank pin, and the connected length is the distance from the center of the crank pin to the center of the piston pin. The maximum ratio of 0.3 indicates that the crank radius is 0.3 times the connected length.

It's important to note that these values are specific to the context of the problem statement provided. Different engines or mechanisms may have different values for the crank angle at TDC and the maximum ratio of crank radius to connected length.

Learn more about crank angle value here:

https://brainly.com/question/32140084

#SPJ11

Answer:

False

Step-by-step explanation:

The answer is False

The given statement is false, as the letters are used as keys in the dictionary.

The dictionary used in counting letters examples to keep track of letter frequencies uses the letters as the key and the count as the value. This means that for each letter encountered in a string, the value corresponding to the key (letter) in the dictionary is incremented by 1.

For example, if the string is "hello", the dictionary would initially be empty, and for each letter encountered in the string, the value for the corresponding key in the dictionary would be incremented by 1, resulting in a dictionary like {"h": 1, "e": 1, "l": 2, "o": 1}.

Therefore, the correct answer is false, as the letters are used as keys in the dictionary.

To learn more about dictionary here:

brainly.com/question/547574#

#SPJ11

Answer:

3

Step-by-step explanation:

Assuming that a regular triangle means an equilateral triangle, there are 3 lines of symmetry, by starting at the three angles of the triangle and drawing a line through the bisector of the side opposite to the angle.

Answer:

The unicycle will travel 351.68 inches in 7 revolutions

Step-by-step explanation:

The circular shape moves a distance equal to its circumference in each revolution, then the rule of the distance of the circular shape travels n turns is D = π d n, where

∵ A unicycle wheel has a diameter of 16 inches

∴ d = 16 inches

∵ The unicycle will travel 7 revolutions

∴ n = 7

→ Substitute them in the rule of the distance above

∵ D = π(16)(7)

∵ π = 3.14

∴ D = 3.14(16)(7)

∴ D = 351.68 inches

→ No need to round it, it is in the hundredth of an inch

∴ The unicycle will travel 351.68 inches in 7 revolutions

Given:

The ratio of the amount of money Kate has to that of Nora is 3 : 5.

After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9.

To find:

The sum of money Kate had initially.

Solution:

Let the initial amount of money Kate and Nora have are 3x and 5x respectively.

After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9.

The amount of Kate = 3x+150

The amount of Nora = 5x-150

Now,

\(\dfrac{3x+150}{5x-150}=\dfrac{7}{9}\)

\(9(3x+150)=7(5x-150)\)

\(27x+1350=35x-1050\)

\(1350+1050=35x-27x\)

\(2400=8x\)

Divide both sides by 8.

\(300=x\)

Putting x=300 in 3x, to get the amount of money Kate has initially.

\(3(300)=900\)

Therefore, the Kate initially had $900.

Answer:

the answer is A i think

Step-by-step explanation:

Answer:

your answer is

A. -3

good luck (:

Answer:

Step-by-step explanation:

Therefore, the equation of the line is:y = (9/2)x + 27The required general form of the equation of the line is 9x - 2y = 54

The given equation of the line is 9x − 2y = 7. We need to find the general form of the equation of the line passing through the point (6, -3) and parallel to the given line. Explanation: We know that the equation of a line is given by y = mx + b where m is the slope of the line and b is the y-intercept. To find the slope of the given line, we write it in slope-intercept form as follows:

9x − 2y = 79x − 7 = 2yy = (9/2)x - 7/2

Thus, the slope of the given line is 9/2. A line parallel to this line will have the same slope. Therefore, the equation of the line passing through (6, -3) and parallel to the given line is:y = (9/2)x + Now we use the given point (6, -3) to find the value of b:

y = (9/2)x + by = (9/2)(6) + by = 27

Thus, the equation of the line is:y = (9/2)x + 27The required general form of the equation of the line is 9x - 2y = 54.  The required general form of the equation of the line is 9x - 2y = 54.

Therefore, the equation of the line is:y = (9/2)x + 27. The required general form of the equation of the line is 9x - 2y = 54.

To learn more about the equation of the line visit:

https://brainly.com/question/18831322

#SPJ11

Answer:

Step-by-step explanation:

11 ÷ 4 = 2 + 2 = 4

1 + 4 + 4 = 9

19 ÷ 4 = 4

An annuity is a monetary agreement between an investor and a financial institution or company in which the investor makes a series of payments, and the financial institution or company agrees to pay interest on the investment and return the initial investment in the future.

The term "accumulated value" refers to the total value of the annuity at a specific point in time, which includes the initial investment, interest earned, and any additional payments made by the investor. Now let's move on to the solution: Given, n = 20, R = $1000, and interest rate, i = 10%.

The formula to find the accumulated value of an annuity is\(:$$A=R\frac{(1+i)^n-1}{i}$$\)Where A is the accumulated value, R is the regular payment amount, i is the interest rate per payment period, and n is the number of payments.  

To know more about agreement  visit:

https://brainly.com/question/24225827

#SPJ11

Answer:

...............................

1. The ratio of shirts Pete pays for to all shirts is 1000.

2. Pete would pay Ana $8.33 for each shirt.

3. Pete would pay Jun $9600 for the shirt.

To determine what Pete would pay Ana for the shirts, we can use the "Buy 5, Get 1 Free" discount. The ratio of shirts Pete pays for to all the shirts Pete gets is 5:6 (5 shirts paid, and 1 shirt received for free).

To fill in the statements:

1. The ratio of shirts Pete pays for to all the shirts Pete gets is 5:6 of 1200 is ____.

To find the missing value, we can set up the following equation:

5/6 * 1200 = x

Solving for x, we have:

x = (5/6) * 1200 = 1000

So, the ratio of shirts Pete pays for to all the shirts Pete gets is 5:6 of 1200 is 1000.

2. ___ × $10 = $

Pete pays $10 for each shirt. Since the ratio is 5:6, the missing value can be calculated as follows:

5/6 * $10 = $8.33 (rounded to two decimal places)

Therefore, Pete would pay Ana $8.33 for each shirt.

3. What would Pete pay Jun for the shirt?

Pete would pay Jun $8 for each shirt. Since Pete needs 1200 shirts, we can calculate the total amount he would pay Jun as follows:

1200 x $8 = $9600

Therefore, Pete would pay Jun $9600 for the shirts.

Learn more on ratio here;

https://brainly.com/question/2328454

#SPJ1

$857.58 is the price of car after 4 years.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Dan buys a car for £900.

It depreciates at a rate of 1.2% per year

We need to find the cost of car after 4 years.

1.2/100=0.012

Now multiply 0.012 with 900

10.8

So for first year it will be 900-10.8=889.2

0.012×889.2

10.67

For second year 889.2-10.67=878.53

0.012×878.53=10.54

For third year 878.53-10.54=867.99

0.012×867.99=10.41

For fourth year 867.99-10.41=857.58

Hence, after 4 years the price of car will be 857.58.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Answer:

Interest = Principal x rate x time

I = 25000(.029)(5) = $3,625

Step-by-step explanation:

Answer:B

Step-by-step explanation:

A) 40

Step-by-step explanation:

2×2×2= 8

4×8= 32

8+32= 40

Answer:

  x = 5

Step-by-step explanation:

You want the equation of a line with undefined slope and an x-intercept of 5.

Slope is the ratio of "rise" to "run" for a line. If the line is vertical, the "run" is zero, making the denominator of the ratio is zero. Division by zero gives an "undefined" result.

If the slope of a line is "undefined", it is a vertical line. It has the same x-value everywhere. Its equation is ...

  x = c . . . . . for some constant

Here, the vertical line crosses the x-axis at x=5. That is the equation of the line:

  x = 5

Answer:

You would start at 3 and then go backwords till the end.

So you'd choose the 3 option. <-o

Only use the filled in o if the equation is <_ with the line underneath, if its like < then its o

Hope this helps! <3