picture included-11 points

Answer:

84 possible paths

Step-by-step explanation:

Given

[tex]N =3[/tex] --- 3 blocks north

[tex]E = 6[/tex] --- 6 blocks east

Required

Number of distinct path

To solve this question, we make use of the following formula

[tex]^{m+n}C_n \ =\ ^{m+n}C_m[/tex]

The above formula implies that;

On a single path, there is a total of m + n steps to get to a particular position, where each path is either in m direction or n direction.

In this case:

[tex]m = 3[/tex]

[tex]n = 6[/tex]

So, we have:

[tex]^{m + n}C_n = ^{3+6}C_6[/tex]

[tex]^{m + n}C_n = ^9C_6[/tex]

Apply combination formula

[tex]^{m + n}C_n = \frac{9!}{(9-6)!6!}[/tex]

[tex]^{m + n}C_n = \frac{9!}{3!*6!}[/tex]

Expand the numerator

[tex]^{m + n}C_n = \frac{9*8*7*6!}{3!*6!}[/tex]

[tex]^{m + n}C_n = \frac{9*8*7}{3!}[/tex]

Expand the denominator

[tex]^{m + n}C_n = \frac{9*8*7}{3*2*1}[/tex]

[tex]^{m + n}C_n = \frac{504}{6}[/tex]

[tex]^{m + n}C_n = 84[/tex]

Hence, there are 84 possible paths

[tex]^{m + n}C_m[/tex] will also give the same result

B

Step-by-step explanation:

The mixed number equivalent to 38 divided by 7 is 5 3/7.

To find the mixed number equivalent to 38 divided by 7,

we need to divide 38 by 7 and express the result as a mixed number.

=38 ÷ 7

= 5 remainder 3

Or      7 | 38 | 5

              35

         ______

                3

So, the quotient is 5 and the remainder is 3.

So, the mixed number equivalent to 38 divided by 7 is 5 3/7.

Learn more about Mixed Fraction here:

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Answer:

Symmetry in a regular nonagon

A regular nonagon has 9 lines of symmetry and a rotational symmetry of order 9, meaning that it can be rotated in such a way that it will look the same as the original shape 9 times in 360°. Nine 40° of rotation about the center.

Step-by-step explanation:

Answer:

12/15

Step-by-step explanation:

3x5=15

4x3=12

15-12=3

Therefore the answer is 12 over 15

Answer:

the answer is 2 1/4 cups of oil

Step-by-step explanation:

if he wants to triple the ingredient then you would triple the numerator and than simplify your new fraction

3 times 3 is 9 = 9/4

9 divided by 4 is 2.25 = 0.25 is equal to 1/4 so it would be 2 1/4 cups of oil

Answer:

9 pizzas

Step-by-step explanation:

the right aswer is -1.33

Answer:

       7 / 28

Step-by-step explanation:

7 / 28 = 0 . 28

Answer:

4.15

Step-by-step explanation:

the radius is half the diameter so 8.3/2

=4.15mm

Answer:

4.15

Step-by-step explanation:

radius is the half of the diameter so 8.3/2 is 4.15

Answer:

x=6 y=12

Step-by-step explanation:

30-60-90 triangle

shorter leg is x

longer leg is [tex]x\sqrt{3}[/tex]

hypotenuse is 2x

since the longer leg is [tex]6\sqrt{3}[/tex] than makes x=6

and y=2(6)=12

Answer:

The car would need 12 gallons of gas to go 360 miles

Step-by-step explanation:

360÷30=12

Answer:

it would take 12 gallons of gas

Step-by-step explanation:

[tex]360 \div 30 = 12[/tex]

Answer:

62

Step-by-step explanation:

surface area of a rectangular prism = 2lw + 2lh + 2wh

Where l = length, w = width and h = height

The box has the following dimensions

length = 5 in

width = 3 in

height 2 in

Using these dimensions, we plug in the values into the formula

[tex]SA=2(5*3)+2(5*2)+2(3*2)\\5*3=15\\15*2=30\\5*2=10\\10*2=20\\3*2=6\\6*2=12\\SA=30+20+12\\30+20+12=62[/tex]

Hence, the surface area = 62

Given:

The numbers are [tex]-5,0,6,-3.5,-1\dfrac{2}{3}[/tex].

To find:

The number line one which each of the given number is plotted correctly.

Solution:

The given numbers are [tex]-5,0,6,-3.5,-1\dfrac{2}{3}[/tex].

To plot [tex]-5,0,6[/tex], we need to make dots at [tex]-5,0,6[/tex] respectively.

To plot [tex]-3.5[/tex], we need to make a dot in the mid of -4 and -3.

To plot [tex]-1\dfrac{2}{3}[/tex], we need to make a dot between -2 and -1. That point divides the segment between -2 and -1 in 1:2

In option A, -5 is not plotted correctly. So, option A is incorrect.

In option B, -3.5 is not plotted correctly and [tex]-1\dfrac{2}{3}[/tex] is not plotted. So, option B is incorrect.

In option C, all the points are plotted correctly. So, option C is correct.

In option D, [tex]-1\dfrac{2}{3}[/tex] is not plotted correclty. So, option D is incorrect.

Therefore, the correct option is C.

Answer:

I think B is your answer if so then comment me and you can mark me as brainliest and please follow me

Answer:

15 feet

Step-by-step explanation:

Forumula: Multiply the length value by 3.

5*3= 15 feet

Hope this  helped! :)

Answer:

15 feet

Step-by-step explanation:

okay so in 1 yard is 3 feet

is it is 5 yards so there is 15 feet

Answer:

Step-by-step explanation:

Answer:

4761

Step-by-step explanation:

69 times 69 since it is to the power of 2.

Answer:

4761

Step-by-step explanation:

[tex]69 *69=4761[/tex]

please give brainliest I need to feed my children

Answer:

Juan invested $ 11,800 in Fund A and $ 7,200 in Fund B.

Step-by-step explanation:

Given that Juan invested $ 19000 in two mutual funds, and Fund A earned 7% profit during the first year, while Fund B earned 3% interest, if he received a total of $ 1042 profit, to determine how much she had invested in each mutual fund the following calculation must be performed:

19000 x 0.07 + 0 x 0.03 = 1330

15000 x 0.07 + 4000 x 0.03 = 1170

11000 x 0.07 + 8000 x 0.03 = 1010

11500 x 0.07 + 7500 x 0.03 = 1030

11800 x 0.07 + 7200 x 0.03 = 1042

Therefore, Juan invested $ 11,800 in Fund A and $ 7,200 in Fund B.

Answer: p= -3,2

q= -3,8

R= -8,8

s=-8,2

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

7(4)+2(4)+(4)=?

28+8+4=?

36+4=?

40

Simplify

Put x=4

Answer: D) 888.6

Step-by-step explanation:

The expression which would help arrive at the required answer is y = 78b + c.

The least regression equation is the equation of best fit obtained from a linear regression graph.

The linear regression equation is expressed in the form :

y = bx + c ; where ;

y = Predicted variable

x = predictor variable

c = intercept

b = slope

The least regression equation is not given in the question above.

However, we could give the equation in the linear regression format :

y = number of visitors

y = number of visitors x = temperature = 78°

Hence, the equation becomes :

y = b(78) + c

y = 78b + c

Inputting the values of b and c in the equation will give the required answer.

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Answer:

7/9

Step-by-step explanation:

this equation is true:

21/27 = 7/9

If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.

7/9 = Proper Fraction

Answer:

1, 2.5 at the top and 50 at the bottom

Answer:

D. 21 m

Step-by-step explanation:

I calculated it logically