M is directly proportional to r3
When r = 4, M = 160
a) Work out the value of M when r = 2.​

Answer:

A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.

Step-by-step explanation:

Answer:

A. A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same. (on edg.)

Step-by-step explanation:

Answer:

12:00 AM

Step-by-step explanation:

Taking the lodge as the center of the coordinate system, the position of each person is:

William: 6+3*t

Nancy: 5*t

Edgar: 12*t

where t is in hours after 10:00 am

Between the positions of William and Nancy, a right triangle is formed, where their distance is the hypotenuse.

WN = √[(5*t)² + (6+3*t)²]

Similarly, Between the positions of Nancy and Edgar:

NE = √[(5*t)² + (12*t)²]

If the distance between Nancy and Edgar is 10 miles greater than the distance between Nancy and Willam, then

NE = WN + 10

√[(5*t)² + (12*t)²]  = √[(5*t)² + (6+3*t)²] + 10

With the help of the graph of this equation, we find that t = 1.95 or approximately 12:00 AM

Answer:

The answers are :

The first number : 6

The second number : 2

The third number : 2

Step-by-step explanation:

The value of the variable x, y, and z will be 6, 2, and 2.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Let the numbers be x, y, and z.

The sum of three numbers is 10.

x + y + z = 10   …1

The first number minus the second plus the third is 6.

x – y + z = 6   …2

The first minus the third is 2 more than the second.

x – y = z + 2   …3

Add equation 1 and 3, we have

x + x + z = 10 + z + 2

         2x = 12

           x = 6

Subtract equation 2 from 1, we have

2y = 4

  y = 2

Then the value of z will be

6 + 2 + z = 10

            z = 2

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Answer:

F(2, 11/2)

Step-by-step explanation:

The expression:

(x-2)² = 10(y - 3)

can be rewritten in the vertex form as follows:

(x-2)² = 10y - 30

(x-2)² + 30 = 10y

1/10(x-2)² + 3 = y

General vertex form is:

y = a(x-h)² + k

then, the vertex is locate at (h, k). In this case the vertes is (2, 3), and a = 1/10

The focus of a parabola is located ar F(h, k+p), where p = 1/(4a). Replacing into these equations:

p = 1/(4*1/10) = 5/2

F(2, 3+5/2) = F(2, 11/2)

Answer:

C is the answer

Step-by-step explanation:

I'm never wrong.

Answer:

Sides lengths of a ,b, c such that a^2+b^2 =c^2, triangle ABC is a right triangle

Step-by-step explanation:

Sides lengths of a ,b, c such that a^2+b^2 =c^2, triangle ABC is a right triangle

The converse is interchanging what is given and what is proven.

Answer:

side lengths;a2 + b2 = c2;triangle abc is a right angle

explanation=  when you  add side lengths a and b u get c which would become a right triangle as stated in the formula a2 + b2 = c2

thats the answer mate hope it helps

Answer:

33

Step-by-step explanation:

A number raised to a power is that number multiplied by itself that many times. 2^3 is equal to 2 x 2 x 2, which is equal to 4 x 2, which is equal to 8. 5^2 is equal to 5 x 5, which is equal to 25. 8 plus 25 is equal to 33.

Answer:

[tex]1.20 x 10^{6}=1,200,000\\\\6.0 x 10^{5}=600,000[/tex]

Step-by-step explanation:

You move the decimal place over 6 times for the first equation and 5 for the second equation.

Hope this helps! Have a great day! :)

Answer:

The number is 21.

Step-by-step explanation:

First you need to solve for n.

So the equation would be 2n = |5n-63|

First you'd subtract 5n from each side, that would give you -3n=|-63|

Then you need to divide each side by -3 to get n=21.

                       ~~~~~

To check, you can just plug 21 back into the equation.

2(21) = |5(21) - 63|

42 = |105-63|

42 = |42|

42 = 42

Answer:

58

Step-by-step explanation:

since the triangle has two sides of the same length (6.2cm), this means that it is a isosceles triangle, and that also means that the two angles at the base are the same (both will be 61 degrees)

then just use 180 minus the two angles and you will get x

Answer: a = 17/6

Step-by-step explanation:

I will use two laws of indices to solve this question

1. x^a / x^b = x^(a-b)

2. x^a = x^b, => a = b

Using both laws

x³/x^1/6 = x^a

x^(3-1/6) = x^a

3 - 1/6 = a

a = 3 - 1/6

a = (18 - 1)/6 using LCM

a = 17/6

Answer:

I dont know

Step-by-step explanation:

yes

Answer:

Explanation:
I got it wrong the first two times and this is the answer it gives you.

Answer:

2/22， 3/33， 4/44

Step-by-step explanation:

Answer:

0.0909 9.09%

Step-by-step explanation:

Answer:

P(A and B)= p(A) * P(B)

Step-by-step explanation:

The Formula for the probability of A and B (independent events) is

p(A and B) = p(A) * p(B).

Answer:

y = 42

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use an ordered pair from the table.

Using x = 2 when y = 12, then

12 = 2k ( divide both sides by 2 )

6 = k

y = 6x ← equation of variation

When x = 7, then

y = 6 × 7 = 42

Answer:

42

Step-by-step explanation:

just took the quiz and got it right

Answer:

Step-by-step explanation:

The  system is common use is the decimal system which is based on 10;

So for example the number 45 :

45 = 4 * 10^1 + 5 * 10^0  and

132 = 1*10^2 + 3*10^1 + 2*10^0.

The single  digits in the decimal system are 0,1,2,3,4,5,6,7,8 and 9 .

Then we have 10, 11 and so on

Then there is the binary system which is based on 2 digits

In this system there are only 2 digits 0 and 1, so

10 binary = 1*2^1 + 0*2*0  which is equivalent to 2 in the decimal system.

111 binary = 1*2^2 + 1*2^1+ 1*2*0  = 4 + 2 + 1 = 7 decimal

Another system is the octal system, based on 8.

The digits are 0,1,2,3,4,5,6,7

So 10 octal = 8 + 0 = 8 decimal

and  17 octal = 1*8^1 + 7* 8^0  =   8 + 7 = 15 decimal.

Answer:

No solution.

Step-by-step explanation:

Given fraction is:

[tex]\dfrac{3}{m+3} -\dfrac{m}{3-m} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3}{m+3} +\dfrac{m}{m-3} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3\times (m-3)+ m(m+3)}{(m+3)(m-3)} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3 m-9+ m^2+3m}{m^2-9} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{m^2-9+ 6m}{m^2-9} = \dfrac{m^2+9}{m^2-9}\\If\ m^2-9 \neq 0\ or\ m \neq 3\\\Rightarrow m^2-9+ 6m = m^2+9\\\Rightarrow 6m = 18\\\Rightarrow m = 3[/tex]

Formula used:

[tex](a+b)(a-b) = a^{2} -b^{2}[/tex]

But, the above equation was solved at the condition that:

[tex]m\neq 3[/tex]

So, there is no solution for the given equation.

Answer:

D on Edge2020 (No solution)

Step-by-step explanation:

Answer: A hope it helps

i think its a

Answer:

32.72

Step-by-step explanation:

36.36/100

0.3636

0.3636 times 90 (I use 90 because 100-10=90) 10% tax, so 90% original cost.

32.72

Answer:

Should be 33 degrees if it is congruen.

Step-by-step explanation:

Answer: 23

Step-by-step explanation:

124 + 33 = 157

180 - 157 = 23

Answer:

Look at the attachment

Answer:

B.

Step-by-step explanation:

because the vertex of parabola is f(x)

Answer: #1 his school is out

Step-by-step explanation: #2 bcuz all sides equal to 66cm.

Please mark me brainlest.✌✌

Answer:

Yes, they are equilateral because all of the sides have the same length of 5

Step-by-step explanation:

The Triangle has 3 sides and each side measures up to be 5 so its an equilateral triangle

Answer:

The correct option is (B)

(B) x-y = 6 , 3x+4y = 4

Step-by-step explanation:

As we can see in the graph given below, both lines intersect at (4, -2), which should be the solution of given equations:

Find the values of x and y for (B);

x - y = 6 ⇒ (i)

3x + 4y = 4 ⇒ (ii)

Lets consider equation (i)

x - y = 6

x = 6 + y

Substitute in equation (ii)

3(6+y) + 4y = 4

18 + 3y + 4y = 4

7y = -14

y = -2

Substitute in equation (i)

x - (-2) = 6

x + 2 = 6

x = 6 - 2

x = 4

As solution of part C is also (4, -2), it represents the graph

You can also find the (x, y) for other options the similar way, which will show you they don't have the same value

Answer:

its  B

Step-by-step explanation:

Answer:

827.39

Step-by-step explanation:

Volume = L X W X H

So 6.2 X 8.5 X 15.7

6.2 X 8.5 = 52.7

52.7 X 15.7 = 827.39

So the volume is 827.39

Answer:

N>4

Step-by-step explanation:

Plugin numbers based on your options. Just check if any number less than four fits, if not, next option. In this case if you plug in 4, 4 * 6 = 24 which is equal to 20 more than 4 which is 24. Since our option is N>4 we can try 5 which will work and so will every number after that.

___________________________________

Total number of students=2200

Total percent of male=52.5%

Total percent of female=100%-52.5%

=47.5%

Total number of female= 47.5% of 2200

=47.5/100*2200

=1045

So the total number of female is 1045

hope it helps

Good luck on your assignment

________________________________

Answer:

[tex]1045[/tex]

Step-by-step explanation:

[tex]no. \: \: of \: \: students = 2200[/tex]

First let's find the percentage of female.

[tex]100\% - 52.5\% = 47.5\%[/tex]

So now let's find how many female students are there in the class

[tex]2200 \times47.5\% \\ 2200 \times \frac{47.5}{100} \% \\ = 1045[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

tens place

Step-by-step explanation:

tens  ones . tenths hundredths

2        3     .     4       5

Answer:

x = 10°

y = 35°

Step-by-step explanation:

9x + 20 + 7x = 180 (supplementary angles)

16x = 180 - 20

16x = 160

x = 10°

2y = 7x ( opposite angles)

2y = 70

y = 35°