A book is opened, and the PRODUCT of the two visible page numbers is found to be 306. The equation which correctly represents this situation is A) x2 = 306 B) 2x2 = 306 C) x2 + x = 306 D) 2x2 + x = 306

Answer:

-8/3

Step-by-step explanation:

i took the test on edg

Answer:

B. After 9 minutes Sam is 80 meters away from the dock.

Step-by-step explanation:

We have been given a graph of function that shows the relationship between the time and Sam's distance from the dock.

Let us see our given options one by one to find the correct choice.

A. After 80 minutes Sam is 9 meters away from the dock.

Upon looking at our graph we can see that y-axis is representing distance in meters and x-axis is representing time in minutes. Range of x is from 0 to 11 So our input cannot be greater than 11.    

Therefore, option A is not a correct choice.

B. After 9 minutes Sam is 80 meters away from the dock.

We can clearly see from our given graph that at 9 minutes distance is 80 meters, which means that after 9 minutes Sam is 80 meters away from the dock. Therefore, option B is the correct choice.

C. After 80 minutes Sam is 80 meters away from the dock.

We can see from our graph that range of x is from 0 to 11 minutes, So our input can not be greater than 11. Therefore, option C is not a correct choice.  

D. After 9 minutes Sam is 3 meters away from the dock.

We can see from our graph that initial value of our function is 20, which means that at time equals 0 minutes Sam was 20 meters away from dock and this distance is increasing with the time. Therefore, option D is not a correct choice.  

The length of the diagonal BD is 3 centimeters.

A parallelogram is a quadrilateral where each pair of parallel sides have the same length and can be form by two congruent triangles which share the same side (diagonal).

Perimeter equations for the parallelogram are the following:

[tex]AB + BD + AD = 8\,cm[/tex] (1)

[tex]2\cdot AB + 2\cdot AD = 10\,cm[/tex] (2)

Where:

By (2) we have the following conclusion:

[tex]AB + AD = 5\,cm[/tex]

And we find the length of the diagonal BD by (1):

[tex]5\,cm + BD = 8\,cm[/tex]

[tex]BD = 3\,cm[/tex]

The length of the diagonal BD is 3 centimeters. [tex]\blacksquare[/tex]

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Nick can spend a total of 13 minutes washing his car at the self-service car wash with his $10 budget, accounting for both the initial charge and the additional cost per minute after the first 5 minutes.

Nick is planning to use a self-service car wash that charges $4 for the initial 5 minutes and an additional $0.75 for each minute after that. With a budget of $10, he wants to calculate the number of minutes (m) he can spend washing his car. The cost for m minutes is given by the equation:

Total Cost = Initial Charge + (Additional Charge per minute * Number of extra minutes)

First, subtract the initial charge from the total amount Nick has:

$10 - $4 = $6

This is the amount remaining for the additional minutes. Next, divide this by the additional charge per minute:

$6 / $0.75 per minute = 8 minutes

Therefore, Nick can spend 8 minutes washing his car after the initial 5 minutes, for a total of 13 minutes.

Answer:

Step-by-step explanation:

y=-3/2x+7

The equation is:

A= 2.5W + 12

The graph is

open the attachment I added AND THATS THE THE GRAPH ANSWER.

You would need to deposit approximately $20,701.27 today if this is the only money you save for the purpose of buying a car in 4 years, considering an expected annual interest rate of 11.5%.

We have,

To determine how much you need to deposit today, we can use the concept of present value (PV).

The present value represents the current value of a future cash flow, accounting for the time value of money and the expected interest rate.

In this case, you want to have $31,664 in cash in 4 years, and you expect to earn an annual interest rate of 11.5%.

Let's calculate the present value using the following formula:

[tex]PV = FV / (1 + r)^n[/tex]

where PV is the present value, FV is the future value, r is the interest rate per period, and n is the number of periods.

Plugging in the values, we have:

[tex]PV = $31,664 / (1 + 0.115)^4[/tex]

Calculating this equation, we find:

[tex]PV = $31,664 / (1.115)^4[/tex]

= $31,664 / 1.530749

PV ≈ $20,701.27

Therefore,

You would need to deposit approximately $20,701.27 today if this is the only money you save for the purpose of buying a car in 4 years, considering an expected annual interest rate of 11.5%.

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Final answer:

To seat 24 people at picnic tables that each seat 6, you divide 24 by 6, which equals 4 tables needed.

Explanation:

The question is asking how many picnic tables are needed to seat 24 people, if each table seats 6 people. This is a division problem where we need to divide the total number of people by the number of seats at a single table. You divide 24 (the total number of people) by 6 (the number of seats at one table) to find out the number of tables needed.

Here is the calculation: 24 \/ 6 = 4. Therefore, you would need 4 picnic tables to seat 24 people, assuming each person takes one seat and that there are no empty seats.

Answer:

33.9

Step-by-step explanation

I got 100% on my test and just wanted everyone to know that it is correct.

There are 0.125 miles in one furlong.

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

There are 8 furlongs in 1 mile.

Since a furlong is 660 feet, we can convert the number of feet into 1 mile.

Now,

1 mile = 5280 feet

Multiply 660/5280 on both sides.

660/5280 mile =  660 feet

0.125 mile = 660 feet

Therefore,

There are 0.125 miles in one furlong.

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The complete question.

A furlong is a unit of length still used today in racing and agriculture.

A race that is 8 furlongs is 1 mile.

A furlong is 660 feet. how many miles are in 1 furlong?

Answer: It’s A.

Step-by-step explanation:

for a p e x

Answer:

  A, D, E

Step-by-step explanation:

Squaring both sides of the inequality, we get

  x < 25 . . . . . with the restriction x ≥ 0

The listed numbers that are in the range [0, 25) are 1, 18, 24.

2x+y = 29

2x+x+2 = 29

3x = 27

x = 9

Hope this helps...

Answer:

The solutions are 1.275 and -6.275

Step-by-step explanation:

Given

x^2 = –5x + 8

First, put all terms in the left side of the equal sign, as follows:

x^2 + 5x - 8 = 0

Then, use the quadratic formula with a = 1 (the coefficient of the quadratic term), b = 5 (the coefficient of the linear term) and c = -8 (the independent term).

[tex]x = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)}[/tex]

[tex]x = \frac{-5 \pm \sqrt{5^2 - 4(1)(-8)}}{2(1)}[/tex]

[tex]x = \frac{-5 \pm \sqrt{57}}{2}[/tex]

[tex]x_1 = \frac{-5 + \sqrt{57}}{2}[/tex]

[tex]x_1 = \frac{-5 + 7.55}{2}[/tex]

[tex]x_1 = 1.275[/tex]

[tex]x_2 = \frac{-5 - \sqrt{57}}{2}[/tex]

[tex]x_2 = \frac{-5 - 7.55}{2}[/tex]

[tex]x_2 = -6.275 [/tex]

Answer:

what the other person said

Step-by-step explanation:

The vertex of an absolute function is the highest or lowest point of the function. The vertex of the given equation is: (5,10)

Given that:

[tex]f(x) = |x - 5|+ 10[/tex]

If an absolute function is represented as:

[tex]f(x) = a|x - h|+ k[/tex]

The vertex of the function is:

[tex]Vertex = (h,k)[/tex]

By comparing [tex]f(x) = a|x - h|+ k[/tex] and [tex]f(x) = |x - 5|+ 10[/tex]

[tex]h = 5[/tex]

[tex]k =10[/tex]

So, the vertex is:

[tex]Vertex = (5,10)[/tex]

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The Part A cross section will be rectangle and Part B cross section will be triangle .

A rectangular pyramid is a 3-D object with a base shaped like a rectangle and triangle-shaped faces or sides that correspond to each side of the base. Like the other types of pyramids, a rectangular pyramid also has a point on top of the base of the pyramid that is joined together by bringing the top of all the sides which is known as the apx. A rectangular pyramid has a total of 5 faces, 5 vertices, and 8 edges and is of two types a right pyramid or an oblique pyramid.  

According to the question

Part A: A cross section of the rectangular pyramid is cut with a plane parallel to the base.

When we cut a cross section parallel to base of the rectangular pyramid which have rectangular base

The cross section will always be a rectangle.  

Part B: If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex .

When we cut a cross section perpendicular to the base, passing through the top vertex of the rectangular pyramid

The cross section will always be a Triangle.  

As the lateral face of a rectangular pyramid  is a triangle, so a cross section that passes through the top vertex and the base is also a triangle.

Hence , The Part A cross section will be rectangle and Part B cross section will be triangle .

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Answer:

y = 24x3 - 1

Step-by-step explanation:

None needed YW