Marco made of rectangular prism using 1/2 m cubes the rectangular prism has a volume of 5 m³ how many cubes did Marco use

Answers

Answer 1

Answer: ok so
1 find volume of 1 cube
2. find total volume of rectangular prism

1/2 m cubes
volume=side^3
side=1/2m (I guess since that was what was given)
v=1/2^3=1/8

so
volume of 1 cube times number of cubes=total volume
1/8m^3 times number of cubes=5m^3
multiply both siides by 8/1 m^3 to clea fraction (since 8/1 times 1/8=8/8=1)
number of cubes=40

needs 40 cubes

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What is the answer to 2[10]+[x-4].

Answers

Answer:

$2(10) + (x - 4) = 0 \n 20 + x - 4 = 0 \n x = 4 - 20 \n x = - 16 \n to \: check \: out \: \n 2(10) + ( - 16 - 4) = 0 \n 20 - 20 = 0 \n then \: \: \: x = - 16$

Answer:

16+x

Step-by-step explanation:

A ball is thrown upward off of a 100 meter cliff with an initial velocity of 6 m/s. The function f(x)=-5x2+6x+100 (graphed below) represents this situation where x is time and y is the distance off of the ground.e. What would the new function be? What kind of transformation is this?
f. Would you still use the same domain and range? Why or why not?

Answers

Answer:

a) The domain of the function is . , , b)The range of the function is . , , c) The ball is 73 meters off of the ground at x = 3 seconds.Step-by-step explanation:The complete statement is: A ball is thrown upward off of a 100 meter cliff with an initial velocity of 6 m/s. The function represents this situation where x is time and y is the distance off of the ground. a) What domain does the function make sense? b) What range does the function make sense ? c) How far off the ground is the ball at time x = 3 seconds?a) Let and be the time, measured in seconds, and the distance of the ground, measured in meters, respectively. Time is a positive variable, so domain corresponds to the interval when and . That is: Therefore, the domain of the function is . , b) The distance off of the ground is also a positive variable, where ball is thrown upward at a height of 100 meters and hits the ground at a height of 0 meters. Hence, the range of the function is . , c) The distance of the ball off of the ground at x = 3 seconds is found by evaluating the function:The ball is 73 meters off of the ground at x = 3 seconds.

Step-by-step explanation:

Jeremy claims that if a linear function has a slope of the same steepness and the same y-intercept as the linear function in the graph, then it must be the same function. On a coordinate plane, a line goes through points (0, negative 1) and (2, 0). Which equation is a counterexample to Jeremy’s argument? y = negative one-half x minus 1 y = negative one-half x + 1 y = one-half x minus 1 y = one-half x + 1

Answers

Answer: It is only the 3rd equation that is a good example to Jeremy's argument. Others are counter examples to Jeremy's argument.

Step-by-step explanation:

Let us consider the general linear equation

Y = MX + C

On a coordinate plane, a line goes through points (0, negative 1) and (2, 0).

Slope = ( 0 - -1)/( 2- 0) = 1/2

When x = 0, Y = -1

Substitutes both into general linear equation

-1 = 1/2(0) + C

C = -1

The equations for the coordinate is therefore

Y = 1/2X - 1

Let's check the equations one after the other

y = negative one-half x minus 1

Y = -1/2X - 1

y = negative one-half x + 1

Y = -1/2X + 1

y = one-half x minus 1

Y = 1/2X - 1

y = one-half x + 1

Y = 1/2X + 1

It is only the 3rd equation that is a good example to Jeremy's argument. Others are counter examples to Jeremy's argument.

Final answer:

Jeremy's claim that if a linear function has the same steepness (slope) and the same y-intercept, it must be the same function is not correct. A counterexample is y = negative one-half x + 1, which has the same steepness and y-intercept but is a different function.

Explanation:

The line going through points (0, negative 1) and (2, 0) can be expressed in slope-intercept form (y = mx + b) where the slope m can be calculated as (y2-y1)/(x2-x1) and the y-intercept b is the y-value when x=0. For this line, we have m = (0 - (-1))/(2-0) = 1/2 and b = -1. Hence, the equation for this line is y = one-half x - 1.

However, we can prove Jeremy's claim wrong with a counterexample. Even if a function has the same slope and y-intercept, it doesn't necessarily mean they represent the same function. A counterexample is y = negative one-half x + 1. This line has the same steepness (slope -1/2) but a different direction (its slope is negative, unlike the other line), and the same y-intercept (y=1 when x=0) but it's not the same function.

Learn more about Linear functions here:

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Evan buys 2 CDs. $1.49 is added to the total price which is the 5% sales tax. What is the cost for each of the CDs?

Answers

In the given question, there are several information's that are of great importance. It is by using these information's the correct answer can be determined. It is already given that the amount of sales tax is $1.49 and the percentage of sales tax is 5%. Now it is important to firstly determine the total price of 2 CDs and then determine the price of 1 CD.
Let us assume that the cost of 2 CDs = x
Then
5x/100 = 1.49
5x = 1.49 * 100
5x = 149
x = 149/5
= 29.8
So the cost of 2 CDs is $29.8.
Now
The cost of each CD = (29.8/2) dollars
= 14.9 dollars
So the cost of each CD is $14.9.

Mark is gluing a ribbon around the sides of a picture frame. The frame is 11 inches long and 7 inches wide. How much ribbon does mark need?

Answers

Mark needs 36 inches of ribbon to go around the sides of the picture frame.

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

The length of ribbon required to go around the picture frame is equal to the perimeter of the frame.

The perimeter of a rectangle is given by the formula:

= 2 (length + width)

= 2 (11 + 7)

= 2(18)

= 36 inches

Therefore,

Mark needs 36 inches of ribbon to go around the sides of the picture frame.

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You need to know the perimeter or this because he want to wrap the ribbon around the frame.11(2)+7(2)=22+1436Mark needs 36 inches of ribbon.

Describe how the graph of g(x) is related to the parent function f(x). f(x) = 5x
g(x) = 5x + 3

The options are
A)Adding 3 to the function translates the parent graph 3 units up.

B)Adding 3 to the function translates the parent graph 3 units down.

C)Adding 3 to the function translates the parent graph 3 units to the left.

D)Adding 3 to the function translates the parent graph 3 units to the right.