What is the sum of the geometric series, rounded to the nearest whole number?See image

Answer:

20

Step-by-step explanation:

We're king of shown that it's a parallelogram, so we should assume LM = KN (we can't solve it if we don't know if it's a parallelogram).

LM = KN

3x - 4 = x + 12

2x = 16

x = 8

LM = x + 12 = 8 + 12 = 20

KN = 3x - 4 = 3*8 - 4 = 24 - 4 = 20

checks out

Answer:

Step-by-step explanation:

we know KN=LM, because it looks a parallelogram

3x-4=x+12

3x-x=12+4

2x=16

x=8

LM=8+12=20

1st term - 2

2nd term - 3

3rd term - 4

4th term - 5

5th term - 6

I think I got that right because it says Un+1 and n is the number in the sequence.

(a) Daphne starts with $25.00 on her card

(b) The amount by which her card value changes per game is -($0.5)

(c) y = 25 - 0.5·x

From the table of values, the amount

The table of values is presented as follows;

\(\begin{array}{ccc}&\ \ Games \ Played#&Amount \ on \ Card \ (\$)\\Start&0&25\\&3&23.5\\&6&22\\&9&20.50\end{array}\)

(a) From the table above, when the number of game played = 0, the amount on the card = 25

Therefore;

The amount that Daphne start with on her card = $25

(b) The amount her card changes per game is given by the rate of change as follows;

\(Rate \ of \ change = \dfrac{dy}{dx}\)

Therefore;

\(Rate \ of \ change = \dfrac{y_2 - y_1}{x_2 - x_1}\)

Which gives;\(Rate \ of \ change = \dfrac{Present \ amount \ on \ card - Previous \ amount \ on \ card}{Present \ number of games played - Previous\ number of games played}\)Taking any two points, we get;

Rate of change = (23.5 - 25)/(3 - 0) = -0.5

Therefore, her card value is drops by 0.5 per game

The amount by which her card value changes per game = -($0.5)

(c) We note that the rate of change of the Amount on Card, y, to the

number of Games Played, x, is constant, therefore, the relationship

between the variables is a straight line relationship, of the form, y = m·x + c, and we have;

m = The rate of change = -0.5

c = The y-intercept = The starting Amount on Card ($) = 25

Therefore, the equation is;

y = -0.5·x + 25 = 25 - 0.5·x

The required equation is, y = 25 - 0.5·x

Where;

y = The Amount on Card

x = The number of Games Played

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Answer:

d. 100%

Step-by-step explanation

The required equivalent fractions are 18/24 and 10/24, 36/48 and 20/48, and  9/12 and 5/12. Options A, B, and D are correct.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
The set of equivalent fractions that correctly use the LCD for these fractions: 3/4 and 5/12 is given as,

Option A,
18/24  = 3 /4 and 10/24 = 5 / 12

Similarly,
B. 36/48 = 3 / 4 and 20/48 = 5 / 12
D. 9/12 = 3 / 4 and 5/12

All the options give the equivalent fractions,

Thus, Options A, B, and C are correct.

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Rewrite the fractions to have a common denominator:

1/3 = 8/24

3/8 = 9/24

Now add:

8/24 + 9/24 = 17/24 cups total

Answer:

21.2 yd

Step-by-step explanation:

8 + 6 + 7.2 = 14 + 7.2 = 21.2

21.2 yd

To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.

Answer:

1. Commutative Property

2. Associative Property.

3. Identity Property.

4. Distributive Property.

Answer:

234

Step-by-step explanation:

Man I don't know

If the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.

In statistical terms, the first quartile represents the point below which 25% of the data falls. It divides the data set into four equal parts, with each part containing 25% of the data. Therefore, if the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

This information provides insight into the age distribution of the employees at the institution. It indicates that a significant portion of the employees are relatively young, with a quarter of them falling below the age of 39. Understanding the age demographics of the workforce can be useful for various purposes, such as planning professional development programs or implementing age-specific policies.

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Answer:

y = 9/7

Step-by-step explanation:

Answer:

(a) 110

Step-by-step explanation:

We can plug in 7 for a and 3 for b.  Then we can simplify

11(a + b)

11(3 + 7)

11(10)

110

Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a

Answer:

f(x)=x-5/3x

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

That sounds like a smart plan! Before investing his savings, Jose should do some research to determine the best investment strategy for his goals.

What is research?

He will need to consider factors such as his risk tolerance, the potential return on investment, and the length of time he has to invest. Once he has identified an investment strategy that aligns with his goals, he should start investing his savings.

Over time, as his investments generate returns, he can use these returns to fund his business venture. It is important for Jose to regularly monitor his investments and adjust his strategy as needed to ensure that he is on track to achieve his goals. With careful planning and a well-executed investment strategy, Jose can achieve his goal of retiring early and starting his own coaching classes.

What is an investment ?

An investment refers to the purchase of an asset with the goal of generating income, capital appreciation, or both. The asset could be anything of value, such as stocks, bonds, real estate, commodities, or mutual funds. Investors typically make an investment with the expectation of earning a return on their investment over a period of time.

The return could be in the form of interest, dividends, or capital gains, depending on the type of investment. Investors may choose to invest in different types of assets based on their investment goals, risk tolerance, and investment horizon. The process of investing involves conducting research, analyzing market trends, and making informed decisions based on the available information.

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Complete question is: Jose is a middle-aged professor who wants to retire early and start his own coaching classes. He decides to invest his savings and use the returns to fund his business venture. Before investing his savings, Jose should do some research to determine the best investment strategy for his goals.

Answer:-15y+-16z+4

Step-by-step explanation:

-y-16y+9z-25z+4

-15y+-16z+4

Answer:

the ask a question about the question isnt working

Step-by-step explanation:

but can you zoom in its really glitchy and blurred from far away

Yeah I would also need it zoomed in please.

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

y=2w im not shure tell me if this is wong

Answer:

The area is changing at the point of  \(\mathbf{61200 m^2/year}\)

Step-by-step explanation:

From the given information:

Let's recall from our previous knowledge that the formula for finding the area of a rectangle = L × w

where;

L = length and w = width of the rectangle

Suppose the Length L is twice the width w

Then L = 2w --- (1)

From The area of a rectangle

A = L  × w

A = 2w  × w

A = 2w²

Taking the above differentiating with respect to time

\(\dfrac{dA}{dt }= 4w \times \dfrac{dw}{dt} --- (2)\)

At the time t

\(\dfrac{dw}{dt}= 34 m \ per \ year ; w = 450 \ m\)

Replacing the values back into equation 2, we get:

\(\dfrac{dA}{dt }= 4 \times 450 \times 34\)

\(\mathbf{\dfrac{dA}{dt }= 61200 m^2/year}\)

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

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

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

-5/6

Step-by-step explanation:

By the application of Analytical geometry the rate of change of y with respect to x is -5/6.

what is Analytical geometry?

Analytical geometry is a branch of mathematics that studies geometric shapes and figures using analytical methods. It is a branch of mathematics that uses algebraic techniques to describe geometric shapes and figures. It involves the use of analytical equations and formulas to study geometric concepts. Analytical geometry is used to study the properties of points, lines, angles, circles, and other geometric shapes. It can also be used to solve problems involving angles, distances, and areas of figures. In addition, analytical geometry can be used to find the intersection of two lines, calculate the area of a circle, and calculate the volume of a cylinder. Analytical geometry is a powerful tool used in many scientific and engineering fields.

The rate of change of y with respect to x for this line is -5/6
Therefore -5/6 is rate of change in this graph.

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Answer:20

Step-by-step explanation:

2(4)+2(6)

8+12=20

Answer: 20

Step-by-step explanation:

Plug in 4 for w and 6 for I.

2(4) + 2(6) = 8 + 12 = 20

Answer:

Perimeter, P = 5.2 cm

Step-by-step explanation:

Perimeter is the sum of all the sides.

All sides of a square is equal. Here, the side of a square is 1.3 cm.

The perimeter of a square is given by :

P = 4 × side

It means,

P = 4 (1.3 cm)

P = 5.2 cm

Hence, the perimeter of the square is 5.2 cm.

Answer:

Option B

Step-by-step explanation:

Option D can be eliminated to start off with since the angles are different from the original triangle

Options C and A can be eliminated since they have different side lengths

This leaves us with B

The value of g(9) + h(-14) is 15.

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Step-by-step explanation:

y=kx

25= k(-5)

k= -5

y= -5x

y = -5 ×3 = -15