Question 5 (1 point)
(03.06 MC)

Use function notation to write a recursive formula to represent the sequence: 3, 6, 12, ...

The area of the rectangle is increasing at a rate of 122cm²/s if the length of the rectangle is 11 cm and the width is 9 cm.

The area of a rectangle can be described as the product of the length and width of that rectangle, therefore;

Area = L × W

Here L represents length and W represents the width

Now by differentiating using the product rule;

dA/dt = (dL/dt)(W) + (dW/dt)(L)

As the length is 11 cm and the width is 9 cm and the length is increasing at a rate of 5 cm/s and its width is increasing at a rate of 7 cm/s; substituting these values in the equation;

dA/dt = (5)(9) + (7)(11)

dA/dt = 45 + 77

dA/dt = 122

Hence,  the area of the rectangle is increasing at the rate of 122cm²/s.

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Answer:

a. 3

b. -3/2

c. 4/3

d. -5/3

e. 0

f. undefined

Step-by-step explanation:

Step-by-step explanation:

All decimals which either terminate or have a repeating pattern after some point are also rational numbers. The number 0.2 is a rational number because it can be re-written as 1/5 . The number 0. 33333… is a rational number because it can be re-written as 1/3 .

Answer:

B

Step-by-step explanation:

The given fraction means to divide -3/8 by -7/54.

You are dividing a fraction, -3/8, by another fraction, -7/54.

To divide a fraction by a fraction, multiply the first fraction by the reciprocal of the second fraction.

-3/8 / -7/54 = -3/8 • (-54/7)

Answer: B

Hello!

Let's solve:

 [tex]\text{Write down the function}\\\dfrac{-\dfrac{3}{8} }{-\dfrac{7}{54} } \\\\\\\text{When dividing by a fraction, flip the fraction over and multiply it to the numberator}\\-\dfrac{3}{8} *-\dfrac{54}{7}[/tex]

Thus an equivalent multiplication expression is choice (B)

Hope that helps!

Answer:

Please see below for answers and explanation and attachments

Step-by-step explanation:

These models are best figured out using regression analysis which is a rather complicated computation but luckily there are calculators that can solve

1. The best way to approach this problem is to plot the values and see whether the model is a linear equation or a higher degree equation.

For all three cases it appears that the equations are not linear which would have suggested a model of the form y = mx + b where y = profit in $, x = hours, m is the slope (rate of increase in profit) and b a constant, the y-intercept

For example if you look at the data for the dog walker table, the increase in $ for every additional hour of service is not constant eliminating a linear model. For the first hour, the increase is $7, the second hour it is $11, the third it is $27

So i assumed a quadratic model of the form y = ax² + bx + c where y = profit in $ and x is the number of hours of service for all three businesses

There are plenty of online calculators out there which can rapidly compute the quadratic regression model parameters fitting the data and provide a level of goodness of fit of the equation through a statistic known as the correlation coefficient, r

I entered the data for all 3 rows and came up with the following results
In all the equations, y represents the profit in $ and x the hours

I have also attached screenshots of the computation results which should be self explanatory

Dog Walker

Equation:
y = 1.05357x² + 8.3964x - 6.7

Correlation Coefficient r:
0.9913546  (pretty high goodness of fit)

House Sitter
Equation:
[tex]y = 1.482x^2 + 1.396x + 9.3[/tex]

Correlation Coefficient r:
0.99556069

Lawn Care
Equation:
y = -5.875x² + 30.582143x + 116.9

Coefficient of Correlation r:
0.9794537681  

The attached screenshots will provide all necessary info.

I hope that helps ya out :)

The fractions of the staffs that are female if the total fraction of staff is 5/12 is 5/24.

Fractions are expressed as a ratio of two integers. Given the following parameters;

Fraction of staffs that works in the aquarium = 5/12

Fractions of staffs that are male = 5/8

Determine the fraction of female staffs

Fraction of female staffs = 5/8 - 5/12

Fraction of female staffs = 30-20/48

Fraction of female staffs = 10/48

Fraction of female staffs = 5/24

Hence the fraction of the staff is female is 5/24.

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The LCM of both the factors x⁴+x³-x²-x, x⁴-x and 4x²-4 is discovered to be x(x+1)²(x-1).

The LCM of any two numbers is the value that is evenly divisible by the two given numbers. Least Common Multiple is an abbreviation for Least Common Multiples. It's also known as the Least Common Divisor (LCD).

The smallest integer that is a multiple of two or more numbers is known as the LCM. For instance, the LCM of 4 and 6 is 12, and the LCM of 10 and 15 is 30.

The two given expressions are:

x⁴+x³-x²-x, x⁴-x and 4x²-4

Let us simplify both these factors.

x⁴+x³-x²-x = x(x³ + x² -x -1)

                = x(x+1)(x+1)(x-1)

                = x(x+1)²(x-1)

4x²- 4 = 2²(x+1)(x-1)

Multiplying each factor with the highest power,

4x²- 4  = 2²x(x+1)²(x-1)

           = 4x(x+1)²(x-1)

Thus x(x+1)²(x-1) is the least common factor of both factors.

As a result, it is discovered that the LCM of  x⁴+x³-x²-x, x⁴-x and 4x²-4. is x(x+1)²(x-1).

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The expression that represents the situation is (5/2)x = y and the family uses 350 gallons of water for each week.

First, we convert the given fractions into improper fractions as follows;

2 1/2 = 5/2

2 1/3 = 7/3

As the showerhead uses 5/2 gallons of water per minute an expression for this situation can be given as;

(5/2)x = y

Here x is the amount of time in minutes and y represents the gallons of water used by the family each week

As the family uses the showerhead for 7/3 hours per week, we first convert the hours into minutes as follows;

(7/3) × 60 = 140 minutes

Now substituting this value in the equation (5/2)x = y;

(5/2)x = y

(5/2)140 = y

y = 350 gallons

Therefore, 350 gallons of water is used by the family per week.

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Answer: -3w + 4

Step-by-step explanation:

2(w+2) - 5w

2w + 4 - 5w

-3w + 4

Answer:

-85 is rational and an integer, though an integer is the most specific

Step-by-step explanation:

Whole numbers do not include negative numbers

:]

The graph for the three selected points can be found in the photos section. Good luck!

According to a societal viewpoint, sickness and treatment characteristics that the general public values highly should be taken into account within value frameworks.

The study's goal was to better understand how the general public values characteristics other than health benefits and costs associated with the healthcare system, as well as how they value characteristics that are often associated with rare genetic disorders like Duchenne muscular dystrophy (DMD). The general population placed a high value on attributes including disease severity, impact on life expectancy and HRQoL, and treatment accessibility. These results add to the mounting data that emphasizes the usefulness of broadening value assessments to incorporate characteristics seen as significant from a societal standpoint.

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Answer:0.096

here this is your answer

Answer: you mom loves your neighbor

Step-by-step explanation: because the do things together

Answer:

a

Step-by-step explanation:

what in the hell type of question is that‍‍ need more easy work not alien work, But just put (B/)

Answer: 180

Step-by-step explanation:

1) Add the two angles together

160 + 20 = 180

180

You can tell this because a 180-degree line is flat, just like in this picture.

SOLUTION

The question involves combination since it only deals with the selection without arrangement.

Hence the formula to use is

For this question, we have

Simplifying the last expression we obtained

Therefore,

The number of committees to be chosen is 3003

According to this, the answer is that the employee must sell $32,000 in one month to earn a total of $4,000 for the month.

From the information given, the equation would indicate that the total salary is equal to the base salary plus the result of subtracting $7,000 from the amount of sales for 8%:

2000+(x-7,000)*0.08=4,000, where x is the amount of sales

Now, you can solve for x:

2,000+0.08x-560=4,000

0.08x+1440=4,000

0.08x=4,000- 1440

x=2,560/0.08

x=32,000

According to this, the answer is that the employee must sell $32,000 in one month to earn a total of $4,000 for the month.

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Answer:

7.3

Step-by-step explanation:

Above 5- round up

below 5- round down

If the diameter of the circle is 56cm² then the circumference of the circle is 176cm and the area of the circle is  2464cm².

A circle's area is equal to pi times the radius squared (A = πr). Discover how to apply this formula to determine a circle's area given its diameter.

The length of a circle's outline is referred to as its circumference, while the length of a form with straight sides is referred to as its perimeter. Circle circumference equals 2πr.

Diameter of the circle =56cm

Radius of circle =56/2  =28cm

Therefore,

Circumference of circle

=2πr

=2*22/7*28

=176 cm²

Also,

Area of circle

=πr

=(22/7)*28*28

=2464cm²

Hence the circumference of the circle is 176cm² and the area of the circle is 2464 cm².

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Note: The question is incomplete in the portal. Here is the total question,

Question: Find the circumference and area of the circle if its diameter is 56 cm.

Answer:

[tex]\frac{9}{27}[/tex] =[tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex] = [tex]3[/tex]

Hope this will help you

Answer:

1. 43

2. -123

Explanation:

Draw a vertical number line as shown below.

Plot -5 on the number line which is 5 units below 0.

Then move up 3 units to arrive at -2

This shows us that -5+3 = -2

Answer:

y = -2x - 4

Step-by-step explanation:

First, substitute the known values into the slope-intercept form, y = mx + b, where m represents the slope of the line and b represents the y-coordinate of the point of intersection of the line and the y-intercept. We are given that the graph has a y-intercept of -4, so substitute -4 for b. The graph contains the point (-6, 8), so substitute -6 for x and 8 for y.

8 = -6m - 4

12 = -6m

m = -2

Finally, substitute -2 for m and -4 for b to write the equation of the line in the form, y = mx + b.

y = -2x - 4

The halves of triangle CAD are congruent, because sides CB and BA are congruent, they share the center side, and both are right triangles. So, CD = AD, or:

5x + 1 = 4x + 4
5x + 1 - 1 = 4x + 4 - 1
5x = 4x + 3
5x - 4x = 4x + 3 - 4x
x = 3

AD = 4x + 4
= 4(3) + 4
= 12 + 4
= 16
AD = 16

[tex]\huge \boxed{\sf 16} \\\\\\\displaystyle \sf Both\ right\ triangles\ are\ a\ reflection\ of\ each\ other.\\ Thus,\ they\ are\ equal\ in\ size.\\\\5x+1=4x+4\\5x-4x=4-1\\x=3 \\\\Substituting\ x=3\\\\4(3)+4=12+4=16[/tex]

The pounds of apples that he get if he goes to David’s orchard is 20 pounds.

Let the assumed amount with him be $40.

It should be noted that for David's orchard, the first ten pounds are $2 per round and each additional round is $1 per pound.

Therefore, the expression to illustrate this will be:

($2 × 10) + ($1 × r)

where r = additional pounds

Therefore,

($2 × 10) + ($1 × r) = $40

20 + r = 40

r = 40 - 20

r = 20

He will get 20 pounds.

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The point (1, 18), in the proportional relationship, means 18 cookies will require 1 cup of flour.

In a proportional relationship graph that models the relationship between two variables, x and y, a point on the graph means the value of x that will give a corresponding value of y. It is expressed as, (x, y).

(x, y) means the quantity of x that will give a corresponding quantity of y considering the proportional relationship between variables x and y.

Thus, the graph shows a proportional relationship between the number of cups of flour (y) that was used to make different numbers of cookies.

Thus, the point (1, 18) means that for 18 cookies to be made, 1 cup of flour is to be used.

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