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Answer:  

Scale distance on map representation = 2.4 cm

Step-by-step explanation:

Given:

Scale factor [6 cm - 15 Km]

Actual distance = 6 km

Find:

Scale distance on map representation

Computation:

Scale distance on map representation = Actual distance[6cm / 15km]

Scale distance on map representation = 6km [6cm / 15km]

Scale distance on map representation = 36 / 15

Scale distance on map representation = 2.4 cm

Answer:

y = - [tex]\frac{3}{2}[/tex]x - [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

2x-3y=8

rewrite, solve for y

3y = 2x - 8

divide by 3

y = [tex]\frac{2}{3}[/tex]x - [tex]\frac{8}{3}[/tex]

perpendicular = negative reciprocal slope = - [tex]\frac{3}{2}[/tex]

Answer:

Part A: so the GCF is 3y, 

We need to rewrite the equation such as: 

-36 as -12 · 3, -9 as -3 · 3, 12 as 4 · 3

It will look like this: 

3x^3 y +4 · 3xy + 3 · 3x^2 y + 4 · 3 · 3y

We then need to factor out 3y:

3y(x^3 + 4x - 3x^2 - 12)

Part b: factor out completely

3y(x^3 + 4x - 3x^2 - 12)

So, we need to do the following:

3y{x^2(x-3) + 4 (x-3)}

we then get the final factor: 3y(x - 3) (x^2 + 4)

Step-by-step explanation:

The factored expression is:

[tex]3y(x^3 + 4x - 3x^2 - 12)[/tex]

------------------------

To factor the expression:

------------------------

The expression is:

[tex]3x^3y + 12xy - 9x^2y - 36y[/tex]

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The numeric coefficients are: 3, 12, 9, 36

The gcf of the numeric coefficients is:

3 - 12 - 9 - 36|3

1 - 4 - 3 - 12

The gcf of the numeric coefficients is 3, as 3 is the only number by which 3, 12, 9 and 36 are all divisible.

------------------------

The symbolic coefficients are: [tex]x^3y, xy, x^2y, y[/tex]

The only common term is y, so y is the gcf of the symbolic coefficients.

------------------------

The gcf of the entire expression is the multiplication of the gcfs of the numeric and of the symbolic coefficients, so it is 3y.

Now, to factore the expression:

[tex]3x^3y + 12xy - 9x^2y - 36y = 3y(\frac{3x^3y}{3y} + \frac{12xy}{3y} - \frac{9x^2y}{3y} - \frac{36y}{3y}) = 3y(x^3 + 4x - 3x^2 - 12)[/tex]

The factored expression is:

[tex]3y(x^3 + 4x - 3x^2 - 12)[/tex]

A similar problem is given at https://brainly.com/question/20691631

Answer and Step-by-step explanation:

The answer is A. 0.

This is because the greatest sum of numbers can only be up to 12. (6 + 6 = 12)

No numbers, when added together from the given 2 6-sided dices, will result in 15 as the answer.

#teamtrees #PAW (Plant And Water)

Ramadan Mubarak

Answer:

12

Step-by-step explanation:

Distance from (-4,1)to (-1,1) =|-4|-|-1|=3

Side of square =3

Since each side of square is equal.

3x4=12

If vertices A (-1,1) and vertices B (-4,1) of Square ABCD then  perimeter of the square ABCD is 12 units.

The length along a line or line segment between two points on the line or line segment.

The distance between A and B is 3 units, so the distance between B and C must also be 3 units since the square has equal sides.

The coordinates of C are (-4, -2) since it is directly below B.

The distance between C and D is 5 units since it is a horizontal line between the x-coordinates of C and D.

The coordinates of D are (-1, -2) since it is directly to the right of C.

Now we have the coordinates of all four vertices

A (-1,1), B (-4,1), C (-4,-2), and D (-1,-2).

To find the perimeter, we add up the lengths of all four sides:

AB = BC = CD = AD

= √[(xB - xA)² + (yB - yA)²]

= √[(-4 - (-1))² + (1 - 1)²]

= 3

So the perimeter is P = AB + BC + CD + AD

= 3 + 3 + 5 + 3

= 14

Therefore, the perimeter of the square ABCD is 12 units.

To learn more on Distance click:

https://brainly.com/question/15172156

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Answer: 375

Step-by-step explanation:

Answer:

0.3897

Step-by-step explanation: i g o o g l e it

Answer:

1.6 m = 5.3 ft

Answer:

1668.2

Step-by-step explanation:

Answer:

The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.44\frac{1.1}{\sqrt{208}} = 0.1[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 6.2 - 0.1 = 6.1

The upper end of the interval is the sample mean added to M. So it is 6.2 + 0.1 = 6.3

The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).

Answer:

B

Step-by-step explanation:

Without even trying to figure out the solution you can tell it is b, because adding and subtracting to the x's and y's results in a translation. D is wrong because it would result in a smaller figure, so it is B

Answer:

a) t= 2hours and 10 minutes

b) t=4hours and 20 minutes

v1t1=v2t2

Answer:

Step-by-step explanation:

rate = distance / time     distance is constant (a-b) so call it D

time = distance / rate      rate = speed (ie miles per hour = mph)

time = distance / speed      

A)  if the new speed is 1.5 of the original speed    

     original time = 3.25 hours  or 195 minutes

  3.25  = D / 1       new time = D/1.5       find new time

         3.25 is to D   as    new time is to  D/1.5

            3.25/D = new time / D/1.5                   multiple D/1.5 on both sides

            (3.25/D) ( D/1.5)      = new time           the distance D cancels

            3.25 (D / D) / 1.5   = new time

            3.25 / 1.5  = 2.167 hours   or 2 hours and 10 minutes

B)   if the speed is 3/4 the original speed

original time = 3.25 hours  or 195 minutes

  3.25  = D / 1       new time = D/(3/4)       find new time

         3.25 is to D   as    new time is to  D/0.75

            3.25/D = new time / D/0.75                       multiple D/0.75 on both sides

            (3.25/D) ( D/0.75)      = new time

            3.25 (D / D) / 0.75     = new time

            3.25 / 0.75  = 4.333 hours   or 4 hours and 20 minutes

Answer:

144

Step-by-step explanation:

radius is half of a diameter so that means you need to multiply 72 times 2

Answer:

1/4

Step-by-step explanation:

Answer:

1/4 cup

Step-by-step explanation:

Answer:

Shortest Path : A-C, C-Z

Shortest possible time = 143

Step-by-step explanation:

P.S - The exact question is -

Given -

T1 = 38

T2 = 52

T3 = 63

T4 = 67

T5 = 91

T6 = 62

T7 = 64

To find - What is the shortest path and what is the shortest possible time to travel from A to Z ?

Proof -

Choices for shortest path is -

Choice 1 : A-B, B-E, E-Z ;

Choice 2 : A-C, C-Z ;

Choice 3 : A-B, B-D, D-Z

Now,

For Choice 1 : A-B, B-E, E-Z

Distance between A-B = T1 = 38

Distance between B-E = T4 = 67

Distance between E-Z = T7 = 64

So,

The distance = 38 + 67 + 64 = 169

Now,

For Choice 2 : A-C, C-Z

Distance between A-C = T2 = 52

Distance between C-Z = T5 = 91

So,

The distance = 52 + 91 = 143

Now,

For Choice 3 : A-B, B-D, D-Z

Distance between A-B = T1 = 38

Distance between B-D = T3 = 63

Distance between D-Z = T6 = 62

So,

The distance = 38 + 63 + 62 = 163

∴ By comparing we get

Shortest Path = A-C, C-Z

Shortest possible time = 143

The shortest path is A→C→Z and the shortest possible time is 143 units option second is correct.

It is given that the traveler is trying to determine the fastest way to travel from city A to city Z.

It is required to find the shortest path and the shortest possible time to travel from A to Z.

It is defined as the path in which all the sum of the path will be shortest in a weighted diagram known as the shortest path.

We have the time required to travel from A to B is T1 = 38 units

Similarly, for the path A to C is T2= 52 units

For the path B to D is T3= 63 units

For the path B to E is T4 = 67 units

For the path C to Z is T5 = 91 units

For the path D to Z is T6 = 62 units

For the path E to Z is T7 = 64 units

For the path A→B→E→Z

The total time required = T1+T4+T7

                                       = 38+67+64 ⇒169 units.

For the path A→C→Z

The total time required = T2+T5

                                       = 52+91 ⇒143 units.

For the path A→B→D→Z

The total time required = T1+T3+T6

                                       = 38+63+62 ⇒ 163 units.

Thus, the shortest path is A→C→Z and the shortest possible time is 143 units option seconds is correct.

Learn more about the shortest path here:

https://brainly.com/question/15139264

Answer:

Cos Y = 12/13

Step-by-step explanation:

Recall, SOHCAHTOA.

Cos Y = Adjacent/Hypotenuse

Reference angle = Y

Adjacent = 12

Hypotenuse = 13

Therefore:

Cos Y = 12/13

Answer:

[tex]\text{Axis of symmetry: }x=-2\\\text{Vertex: }x=-2,\ y=10[/tex]

Step-by-step explanation:

[tex]y=-2x^2-8x+2\\\\\text{Solving }y=0:\\-2x^2-8x+2=0\\x=-2\pm\sqrt{5}\text{ (Using the quadratic formula)}\\\\\text{Finding mid-point (x-coordinate):}\\\frac{-2+\sqrt{5}-2-\sqrt{5}}{2}=-2\\\\\therefore\text{Vertex: }x=-2,\ y=10\\\text{Axis of symmetry: }x=-2[/tex]

Answer:

A,M,V

Step-by-step explanation:

Answer:

180°

I hope it's helps you

Answer:

c,e,f,

Step-by-step explanation:

The answer for this question is C, E and F .

Given that the length is 3 times the width. So firstly, you have to find the expression of length :

Let width = w,

Next, the perimeter of rectangle is P = 2(length+width) so you have to substitute the expression into the formula :

Let length = 3w

Let width = w,

have a good day /night

may i please have a branllist

Answer:

x=74

Step-by-step explanation:

Solve big triangle first 33+45= 78

78+28= 106

Answer:

Can you picture the question?

Answer:

Step-by-step explanation:

Answer:

24.5x = 30

      x = 30/ 24.5

         = 1.22448979592

hope this answer helps you.....

Answer:

x= 30/24.5=1.22448

Step-by-step explanation:

we have :

2.24x=30 ---------------->> 224x/2.24=30/2.224 ------------->> x= 30/24.5=1.22448

Answer:

GHS 940,000 and GHS 1,410,000

Step-by-step explanation:

Total Ratio, thus 2+3 = 5 = 2,350,000

2/5 × 2,350,000 = 940,000

3/5 × 2,350,000 = 1,410,000

In conclusion, the money was shared at GHS 940,000 and GHS 1,410,000 among the two.

Answer:

864√3

Step-by-step explanation:

(3√3·24²)/2

1728√3/2

864√3

1496.49189773

9514 1404 393

Answer:

  864√3 in²

Step-by-step explanation:

We presume "any method" includes the use of on-line calculators. Unfortunately, this one does not provide the exact answer in reduced form.

  A = (3/2)√3(24 in)² = 3/2×576×√3 in²

  A = 864√3 in²

Answer:

x>-8 (Or option D)

Step-by-step explanation:

-2x+7<23 Subtract 7 from both sides

-2x<16 Now divide by -2. You also have to flip the < sign because you are dividing by a negative number

x>-8

The reasoning for D over C is because D is an open circle meaning that it is only less than or greater than. When it is a closed circle, it means less than or equal to or greater than or equal to. :)

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Answer: equal 5 tablespoons plus 1 teaspoon butter.

Step-by-step explanation:

Answer:

1/3 cup would equal 5 tablespoons plus 1 teaspoon butter

Step-by-step explanation:

i Hope this was the answer you was looking for. If not just go to one of my questions and take the points that you need to gain back!!!