Determine the number of 1/2 inch cubes that can pack the prism shown

The equation which is perpendicular to the given equation as in the task content is; y = -4x + 0.

It follows from the task content that the line given is; y=1/4x+2.

It follows that the slope is; 1/4 by comparison with the slope-intercept equation; y = mx +c.

Since the required equation is perpendicular; it follows that the products of the slopes must be equal to; -1.

Hence, m × (1/4) = -1

m = -4.

Since, the point, (0,0) is the y-intercept, it follows that the required equation is; y = -4x + 0.

Read more on slope-intercept form;

https://brainly.com/question/1884491

#SPJ1

5DBE16-9AF416 using 2’s complement is -2635716 octal.

We need to compute 5DBE16-9AF416 using 2’s complement, leave your final answer in octal.

When two's supplement is utilized to address negative numbers, the main piece (MSB) is used to show the indication of the number. A 1 in the MSB position shows a negative number, and a 0 in the MSB position demonstrates a positive number. In two's supplement, negative numbers are addressed by the converse of the positive number in addition to 1.

To find the backwards of a number, every digit is just upset - 0 changes to 1, and 1 changes to 0. In this way, the converse of 5DBE16 is A2416. One is added to the opposite to find the two's supplements giving us A2417.

2's supplement of a number=the numbers supplement+1

5DBE16-9AF416=464416-9AF416=-54AF416+1=-54AF416

The two's supplement of a number can be determined by deducting the number from 2^n, where n is the number of pieces used to address the number. Along these lines, for this situation, we would take away 5DBE16 from 2^32, which gives us 464416.

Since the 2's complement of a number is equivalent to the negative, we can say that 5DBE16-9AF416=-54AF416.

To change over a two's supplement number to octal, we can involve a similar technique as we would use to switch a paired number over completely to the total. We bunch the pieces into three sets, beginning from the right, and convert each gathering into an octal digit.

In this way, the 2's supplements of 5DBE16-9AF416 would be composed as continues in octal 464416-9AF416=-2635716 octal

Therefore, 5DBE16-9AF416 using 2’s complement is -2635716 octal.

To learn more about the 2’s complement visit:

https://brainly.com/question/13567157.

#SPJ1

Answer:

31 15/22 acres

Step-by-step explanation:

2/11=4/22

1/2=11/22

=15/22

37-6=31

31+15/22=31 15/22

Answer: the bottles cost is 15$

Step-by-step explanation:

Answer:

Step-by-step explanation:

if the wine bottle is $20 and the bottle is $5 less, then 20-5=15.

The bottle costs $15

The simplified value of the expression will be -824.

What is algebraic expression ?

An algebraic expression in mathematics is made up of variables, constants and operations such as addition, subtraction, etc.

Given that the expression is 20 × (6) − (7 × 113 × - 20) − 20 − 113.

Now , we will simplify the above expression using PEMDAS rule , which follows the order that is parentheses, exponents, multiplication, division, addition, subtraction.

So , if we solve the expression we will get ,

= (20 × 6) − (7 × 113) - 20 − 20 − 113

Firstly , solve terms which are in parentheses.

= 120 - 791 - 20 - 20 - 113

Now , we will add all the negative terms.

= 120 - 944

Now , subtracting both numbers.

= -824

Thus , the simplified value is equal to -824.

Learn about algebraic expressions here ;

https://brainly.com/question/24605146

#SPJ1

The distance (segment SD) from the ship to the shore and  Gilligan sees a ship coming close to the shore he's standing on.

The triangles ABC and SDC are similar.

Gilligan may deduce that triangles ABC and SDC are comparable.

Gilligan may deduce that the ship's distance from the cost is 509 feet.

The triangles ABC and SDC are similar.

Gilligan may deduce that triangles ABC and SDC are comparable.

Gilligan may deduce that the ship's distance from the cost is 509 feet.

We may deduce from the question that points S, C, and A are collinear, whereas lines AB and SD are vertical and parallel lines on either side of point C.

As a result, Gilligan may deduce that triangles ABC and SDC are comparable.

How to Determine SD Distance

To do this, we employ the corresponding ratio shown below.

90 should be substituted for AB.

Calculate as a fraction

Make SD the topic.

As a result, Gilligan may deduce that the ship's distance from the land is 509 feet.

More information regarding comparable triangles may be found at:

https://brainly.com/question/2773823

#SPJ9

Answer: 1. D=(7, 4)

2. D=(-2, -2)

3. D=(6, -4)

Step-by-step explanation:

1. point B goes to point C by moving right 6 units and moving down 2 units.

point A goes to point D by moving right 6 units and moving down 2 units.

A=(1, 6)

D=(1+6, 6-2)

D=(7, 4)

2. point B goes to point C by moving left 4 units and moving down 6 units.

point A goes to point D by moving left 4 units and moving down 6 units.

A=(2, 4)

D=(2-4, 4-6)

D=(-2, -2)

3. point B goes to point C by moving right 8 units and moving down 2 units.

point A goes to point D by moving right 8 units and moving down 2 units. A=(-2, -2)

D=(-2+8, -2-2)

D=(6, -4)

Answer:

a) Mean

b) Median

c) Mode

Step-by-step explanation:

a) The data set has no outliers, therefore taking the average (mean) would be the best.

b) The data has outliers which would skew a mean. None of the numbers repeat, therefore mode would not work, so by process of elimination, one can find that Median is the best.

c) This data set does not have numbers, therefore mean does not make sense. The most common rating would be the rating that occurs most often, which would be mode.

Answer:

a

Step-by-step explanation:

Answer: think that it is four

Step-by-step explanation: but i don't know because  i looked it up

Answer:

-2.5, -7/3, |-2|

Step-by-step explanation:

-2.5 = -2.5
-7/3 = -2.333333333...
|-2| = 2

middle then first then last is least to greatest

The percentage decrease is 43.75%

Initial volume = 3.2 millimeters

After experiment volume = 1.8 millimeters

Reduction = 3.2 - 1.8 = 1.4 millimeters

Therefore the percentage decrease will be:

= Reduction/Initial value × 100

= 1.4/3.2 × 100

= 43.75%

Therefore, the percentage decrease is 43.75%

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

At the beginning of a chemistry experiment, the volume of liquid in a container was 3.2 milliliters. During the experiment, the volume dropped to 1.8 milliliters. Find the percent of decrease.

Answer:

-3 is the answer because the variable Z represents 3. we have to multiply 4 by 3 which represents Z.

Step-by-step explanation:

= 4*3 - 15

= 12 - 15

= -3

Answer:

Step-by-step explanation:

Write the following expression using the fewest possible terms.

(−4x − 15) + (17 + 7x) =

-4x -15 + 17 + 7x=

3x +2

Answer:

Step-by-step explanation:

8 x 4 = 32
8 + 8 + 8 + 8 = 32

32 ÷ 4 = 8

answer:

kids that play basketball  are taller than kids that play baseball

Step-by-step explanation:

as we see the average height of baseball players ( the majority)  is 68 inches and 70 while basketball is 70 to 74

hope this helped have a good day guv'nor :D

Answer: 8 is 10x bigger than 8 8 is 10x less than 8

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

The product of zero and any number is zero. Basically, if you multiply any number with zero, you get zero. Hence, 4*0=0. However, anything added with zero is itself since you're basically not adding anything to that number. For example, nothing is being added to 4 in '4+0', so 4+0=4.

4*0=0

4+0=4

0[tex]\neq[/tex]4

Answer: 8/15

Step-by-step explanation:

2/5 x 4/3 (fraction rule)

2 x 4 / 5 x 3

2 x 4 = 8

8 / 5 x 3

5 x 3 = 15

= 8/15

Based on the translation, your end position is (- 5, 0)

The given parameters are

Start position = (5, -2)

Navigation = You move up 2 units and left 10 units.

This can be represented as

(x, y) = (x - 10, y + 2)

So, we have:

End position = (5 - 10, -2 + 2)

Evaluate

End position = (- 5, 0)

Hence, your end position is (- 5, 0)

Read more about transformation at:

https://brainly.com/question/12113574

#SPJ1

Answer:

36 each and 360 for all exteriors

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

36 x 10 ( how many sides a decagon has) = 360 degrees

Answer:

3500

Step-by-step explanation:

An easy way to solve this specific problem would be to multiply 7 and 5 together to get 35 and then add on the two zeros from 500 to get 3500. Or you can do the standard multiplication strategy.

Hope this helps!

The length of UO in the rhombus is 24 inches

The given parameters are

Area = 480 square inches

Diagonal RT = 20 inches

The area of the rhombus is calculated as

Area = RT * US/2

Where UO = US/2

So, we have

Area = RT * UO

So, we have

20 * UO = 480

Divide both sides by 20

UO = 24

Hence, the length of UO is 24 inches

Read more about rhombus at

https://brainly.com/question/12735921

#SPJ1

Answer:

A

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Let, the needed number be x;

x-19=-21

x=-21+19

x=-2

Answer is in the image below . -

Answer: TRUE

Step-by-step explanation:

Yes, every rational number is a real number. All numbers go into the real number system, including rational numbers. So the answer is true.

20,000 ten thousand equals 2000 Hundred thousand.

As per the question statement, we are provided with a value: "20,000 ten thousand".

We are required to calculate how many hundred thousand are equal to 20,000 ten thousand.

To solve this question, let us first write down 20,000 ten thousand into the numerical format, i.e, [tex](20000*10,000)=200000000[/tex].

As we know, a hundred thousand when written down in the numerical format becomes 100,000, let us assume that 20,000 ten thousand equals to "x" number of Hundred thousand.

Therefore, we can form a linear equation in one variable "x" based on the condition, in the above-mentioned statement, which goes as  [tex](100,000*x)=200000000[/tex]

[tex]or, (100,000x)=200000000\\or,x=\frac{200000000}{100,000}\\or,x=\frac{2*10^{8} }{10^5\\}or,x=(2*10^3)\\or,x=2000[/tex]

Hence, 20,000 ten thousands equals 2000 Hundred thousands.

To learn more about Linear Equations, click on the link below.brainly.com/question/27664510

#SPJ9