When it is easier to use the point-slope form to write the equation of a line and when it is easier to use the slope-intercept form? brainley

Numbers of cubes are  224

We have been given that

side length of cubes is = 1 /4 cm

dimension of prism are

2 cm

7/4 cm

1 cm

Each cube with side lengths of 1/4 have a volume of (1/4)3 . To find how many cubes are needed to fill the prism.

Prism: A glass or other transparent object in prism form, especially one that is triangular with refracting surfaces at an acute angle with each other and that separates white light into a spectrum of colors.

To compute the prism volume in the given dimensions (cm³) and the cube volume in the same dimensions, then find the number of cube volumes in the prism volume.

Prism volume = l×w×h

Cube volume = (side)³

than Prism volume =(2×7/4×1)cm

                               = (3.5)cm

and cube volume = (1/4)³cm

                            = (1/64)cm

Then the number of cubes that will fit in the prism is ...

(Prism volume)/(cube volume)

(3.5)/(1/64)cm= 224 cubes

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Answer:

I think the answer to this question is the last multiple choice answer

Step-by-step explanation:

Answer:

5i is an imaginary number and it's square is - 25.

by definition zero is considered to be both real and imaginary.

Step-by-step explanation:

#studywell #workhard #worksmart

The equation of a line in slope-intercept form is  [tex]y = \frac{1}{8} x - \frac{41}{8}[/tex] .

The equation of the line is given below using the slope-intercept method:

y = mx + c

where,

m = the slope of the line

c = y-intercept of the line

(x, y) represent any point on the line

To find the Slope of a line that passes through the points (2, 4) and (3, -4).

m₁ = change in y/change in x

    = y₂ - y₁ / x₂ - x₁

    = Δy/Δx

   = [tex]\frac{-4-4}{3-2}[/tex]

   = [tex]\frac{-8}{1}[/tex]

   = -8

Now, we find the slope of the line perpendicular to the line with the slope -8.

m₂ = -1 / m₁

    = -1 / -8

    = 1/8

So, the slope of the line is 1/8.

Next, we find the equation of a line that passes through the point (1, -5) and has a slope of 1/8.

⇒ y - y₁ = m( x- x₁)

⇒ y + 5 = [tex]\frac{1}{8}[/tex] (x - 1)

Multiplying by 8 on both sides of the equation we get and then solving

⇒ 8y + 40 = x - 1

⇒ 8y = x - 41

 ⇒ [tex]y = \frac{1}{8} x - \frac{41}{8}[/tex]

Therefore, the equation in slope intercept form is  [tex]y = \frac{1}{8} x - \frac{41}{8}[/tex] .

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The total distance, in miles, that kara walked at the park this week is 57/20.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that kara walks five days each week. this week she walked 7/8 mile on monday, 3/5 mile on tuesday, 4/10 on wednesday, 1/10 mile on thursday, and 9/10 mile on friday.

Now, in order to find the total distance, in miles, that kara walked at the park this week.

kara walked on Monday = 7/8

kara walked on Tuesday = 3/5

kara walked on wednesday = 4/10

kara walked on thursday=1/10

kara walked on friday= 9/10

Now, to get the total distance in miles by adding both the miles she walked this week:

7/8 + 3/5 +4/10 + 1/10 + 9/10

35/40 + 24 / 40 + 14/10

59/40 + 14/10

114/40

57/20

Therefore, the total distance, in miles, that kara walked at the park this week is 57/20.

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Answer:

16

Step-by-step explanation:

Answer: It takes 3 hours to drive 135 miles at a speed of 45 miles per hour.

Step-by-step explanation:

Define Time and Distance and Speed:

The length of distance traveled is proportional to the time taken to cover the distance, and we can represent this relationship as

      Distance ∝ Time          (Eq. 1)

The speed of any object is directly proportional to the distance traveled and inversely proportional to the time taken.

Speed ∝ Distance  (Eq.2)

Speed∝1/Time     (Eq.3)

Then, we can represent each parameter through the following equations:

Speed =Distance/Time

Distance=Speed × Time

Time =Distance/Speed

We can write:

Distance covered by driving:  d=135 miles

Driving speed:  s=45 mph

Recall the formula for the relationship of time, distance, and speed.

Time =Distance/Speed

Substitute d=135 and s=45 into the above formula, and simplify.

t=d/s

t=135/45

t=3 hours

Thus, it takes 3 hours to drive 135 miles at a speed of 45 miles per hour.

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Answer:

Step-by-step explation; c2 + c2 -3c + 5c + 3 - 2

                                        = 2c2 + 2c +1

The gross pay for this week after working overtime is $471.75.

What is the overtime pay rule?

The civil overtime vittles are contained in the Fair Labor norms Act,  Unless pure, workers covered by the Act must admit overtime pay for hours worked over 40 in a workweek at a rate not lower than time, and That's an illustration of total pay for a hand who worked 42 hours in a workweek Regular pay rate x 40 hours = Regular pay, plus. Regular pay rate x1.5 x 2 hours = Overtime pay, equals.

Usual earning Earning = $8.5 for 30 hours for a week

Overtime = 47 hours-30 =17 hours

Overtime rate = $8.5 + $8.5/2 = $ 12.75 for hour for a week

Gross pay= ($8.5*30)+($12.75*17)

      = 255 + 216.75

       = 471.75.

The gross pay for this week after working overtime is $471.75.

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Answer:

x = 27

Step-by-step explanation:

All angles in a triangle add up to 180 degrees

180 = (3x - 17) + (x + 40) + (2x - 5)

Combine like terms.

180 = 6x + 18

Subtract 18 from both sides.

162 = 6x

Divide both sides by 6.

x = 27

Answer:

y2 = m*(x2 - x1) + y1

Step-by-step explanation:

m = (y2 - y1) / (x2 - x1)

y2 - y1 = m*(x2 - x1)

y2 = m*(x2 - x1) + y1

According to the cross product, The value of x in the expression becomes 16.

According to the statement

We have to find that the value of the expression.

So, For this purpose, we know that the

Cross product is a binary operation on two vectors in three-dimensional space.

From the given information:

The expression is a

StartFraction 4 over 3 EndFraction = StartFraction x over 12 EndFraction

IN simple words, it becomes:

4/3 = x/12

Then we have to find the value of the x then

4/3 = x/12

Now cross multiply each other then

4 =3x/12

3x = 48

Then

x = 48/3

x = 16.

So, According to the cross product, The value of x in the expression becomes 16.

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The width and the length of the rectangle are equal to 6√5 units and 3√5 units, respectively.

In this problem we find the area of the rectangle and the ratio of the length to the width of the figure. Mathematically speaking, the area of the rectangle is described by the following formula:

A = (2 · x) · x

A = 2 · x²

If the area of the rectangle is equal to 90 square units, then the width of the rectangle is:

2 · x² = 90

x² = 45

x² = 3² × 5

x = 3√5

The width of the rectangle is equal to 3√5 units. By the given ratio, the length of the rectangle is equal to 6√5 units.

Therefore, the length and width of the rectangle are equal to 6√5 units and 3√5 units, respectively.

The lower part of the picture is not related to the statement.

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Answer:

A blank one

Step-by-step explanation:

There's no picture

Answer:

Sussy

Step-by-step explanation:

1. There is nothing

2. Imposters are barely visible.

3. Your welcome

The number of mini bottles required is;  68 mini bottles

We are told that a mini bottle of water contains 8 ounces of water.

Now, we are told that you require 4¹/₄ = 4.25gallons of water.

Now from conversions, we know that;

1 gallon = 128 ounces

Thus; 4.25 gallons = 4.25 * 128 = 544 ounces

Since a mini bottle of water contains 8 ounces of water, then we can say that;

Number of mini bottles required is;

544/8 = 68 mini bottles

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Answer:

C. 3x-8

Step-by-step explanation:

To solve this, we put the x values into the functions and calculate the y values.

A

y = (1/2)x - 3

test for (2, -2)

-2 = 1/2 × 2 - 3 = 1 - 3 = -2 correct

test for (6, 10)

10 = 1/2 × 6 - 3 = 3 - 3 = 0 wrong

so, A cannot be right.

B

y = -2x + 2

test for (2, -2)

-2 = -2×2 + 2 = -4 + 2 = -2 correct

test for (6, 10)

10 = -2×6 + 2 = -12 + 2 = -10 wrong

so, B cannot be right.

C

y = 3x - 8

test for (2, -2)

-2 = 3×2 - 8 = 6 - 8 = -2 correct

test for (6, 10)

10 = 3×6 - 8 = 18 - 8 = 10 correct

test for (13, 31)

31 = 3×13 - 8 = 39 - 8 = 31 correct

so, C is a right answer.

D

y = 4x - 10

test for (2, -2)

-2 = 4×2 - 10 = 8 - 10 = -2 correct

test for (6, 10)

10 = 4×6 - 10 = 24 - 10 = 14 wrong

so, D cannot be right.

I hope this helped! Have a good day! :D

Answer:

3000

Step-by-step explanation:

If it was 3500 then it would've been 4000. However, since 3458 is below 3500 it's 3000. Hope this helps. Good luck!

Answer:

 A.  width = x - 4.5

 B.  111 = 2(x + (x -4.5))

Step-by-step explanation:

A. The width is 4.5 meters shorter than x, so is x -4.5.

__

B. The perimeter is twice the sum of length and width. It is 111 meters, so an equation for it could be ...

 111 = 2(x + (x -4.5))

Answer: Exact Form: 28/5

Step-by-step explanation:

Answer:

y = 28/5

Step-by-step explanation:

Let's solve the problem,

→ 4/5 = y/7

→ y = 7 × (4/5)

→ [ y = 28/5 ]

Hence, the value is 28/5.

The result of diving 107 by 10⁻³ is (E) 107,000.

So, we know that 10⁻³ is 0.001.

Therefore, the result of diving 107 by 10⁻³ is (E) 107,000.

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The correct question is given below:

The result of dividing 107 by 10^-3 is?

a. 10-4.

b. 102.5.

c. 1010.

d. 104.

e. 107,000

Answer:

The value of 1 tenth is less than the value of 1 ten

Step-by-step explanation:

1 tenth = 0.1
1 ten = 10

0.1 is way less than 10 so that is why 3 x 1/10 is less than 3 x 10. Even though the 3 is the same, 1/10 is less than 10 so that is why 3 x 1/10 has less value.

Using it's concept, the probabilities are given as follows:
A. 1/4.B. 11/16.C. 0.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.In this problem, the number of marbles is given by:7 + 5 + 4 = 16.Then:For item a, 4 are red, hence the probability is 4/16 = 1/4.For item b, 4 are red and 7 are green, hence the probability is 11/16.For item c, there are no orange marbles, hence the probability is of 0.

Hence , the maximum and minimum relative profit to the appropriate accuracy are 0.33 and 0.31 respectively .

It is given that p=(s-c)/s......(1)  and sales = $340,000 and cost =  $230,000

Putting s = $340,000  , c = $230,000

        p = 340,000 - 230,000 / 340,000

        p = 110000 /340,000

        p =  0.3235

        p = 0.32

The largest variety which will round off to relinquish 0.32 is 0.33 therefore we are saying that 0.33 is that the edge.

The smallest variety which will gather to 0.32 is 0.31 this is often the edge.

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The complete question is given below :

To determine whether a business is making enough profit, the following formula is used p=(s-c)/s where P is relative profit, S is sales and C is costs. If a company has $340 000 worth of sales and $230000 of costs, correct to 2 significant figures, calculate the maximum and minimum relative profit to the appropriate accuracy.

Step-by-step explanation:

so, 80 L can get out of the tank every minute.

how long for 4800 L ?

that simply means "how many minutes for 4800 L ?"

and this we get by dividing 4800 by 80 (to see how often 80 fits into 4800) :

4800 / 80 = 60 minutes

so, it takes 60 minutes or 1 hour to discharge 4800 L.

Answer:

Step-by-step explanation:

a=number of products

product profit=49,60-7,45=42,15

115000+1200=42,15xa

127000=42,15xa

a=3013

Lashonda biked for 50,51, and 63 miles on the first three days, to make average 54 miles per she needs to bike 52 miles on the last day.

As given,

Lashonda biked for first three days = 50, 51, 63 miles

Let x miles she bike last day

Average = 54 miles per day

Average = (50 + 51 + 63 + x) /4

⇒ 54 = (164 + x) /4

⇒ x = 216-164

⇒ x= 52 miles

Therefore, Lashonda needs to bike 52miles last day to make average 54miles per day.

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Answer:

26

Step-by-step explanation:

I will assume you meant this:    5 ( 7-4)²  ÷ 3 + 11

Using PEDMAS

  Parentheses first

      5 ( -3)² ÷ 3 + 11

  then exponents

     5 ( 9)  ÷ 3 + 11  

   then division

        5 * 3   + 11

    and multiplication

          15 + 11    then addition and or subtraction = 26

Answer:

Step-by-step explanation: