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julia-pushkina [17]
2 years ago
15

Can someone help me please???

Mathematics
1 answer:
leva [86]2 years ago
5 0

Answer:

C

Step-by-step explanation:

The sequence is adding +5 every time, and there are all positive numbers in the sequence so it is C.

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the mean height of the 30 children in a room is 76 cm james whose height is 107 cm went into the room what is the new mean of th
Snezhnost [94]

Answer:

The new mean is 77cm

Step-by-step explanation:

If the mean height of the 30 children in a room is 76 cm, then the sum of their ages is

30 \times 76 = 2280cm

If James with height 107cm joins them, then the total number of children now becomes 30+1=31 and the total height becomes: 2280cm+107cm=2387cm

The new mean now becomes:

\bar x =  \frac{2387}{31}  = 77cm

4 0
3 years ago
A Rectangle with sides 100m and 50m. Person B and Person A start walking in the opposite direction at the same point with veloci
Maurinko [17]

Answer:

It takes takes them 31.67 secs to meet after Person A starts walking

OR

34.67 secs after Person B starts walking

Step-by-step explanation:

First, we will find the perimeter of the rectangle

From,

Perimeter of rectangle = 2 (l + b)

Where l is the length

and b is the breadth

From the question, l = 100m

and b = 50m

Hence,

Perimeter of the rectangle = 2 (100+50)

= 2(150) = 300m

Hence, the perimeter of the rectangle is 300m

This is the total distance that will be covered by both persons by the time they meet.

Let the distance covered by person A be S_{1}

and the distance covered by person B be S_{2}

We can write that

S_{1} + S_{2} = 300m

Velocity of person A, V_{A} = 4 m/s

and velocity of person B, V_{B} = 5 m/s

From the question, Person A starts walking 3 seconds after person B,

This means, if person A spends t secs before they meet, then person B would spend (3 + t) secs.

For Person A,

Velocity = 4 m/s

Time = t secs

Distance = S_{1}

From,

Velocity = \frac{Distance}{Time}

Then,

Distance = Velocity \times time

S_{1} = 4 \times t

S_{1} = 4t ...... (1)

For Person B

Velocity = 5 m/s

Time = (t + 3) secs

Distance = S_{2}

Also, from

Distance = Velocity \times time

S_{2} = 5 \times (3+t)

S_{2} = 5(3+t) ...... (2)

Recall that, S_{1} + S_{2} = 300m

Then, S_{2} = 300m - S_{1}

We can then write that,

300m - S_{1} = 5(3+t)

Then,

S_{1} = 300 - 5(3+t) ..... (3)

Equating equations (1) and (3), we get

300 - 5(3+t) = 4t

300 - 15 -5t = 4t\\9t = 285\\t = \frac{285}{9}\\

t = 31.67 secs

This is the time spent by Person A

Hence, it takes takes them 31.67 secs to meet after Person A starts walking OR

34.67 secs after Person B starts walking

3 0
3 years ago
Which value for x makes the sentence true?
professor190 [17]

Answer:

D. 0.53

Step-by-step explanation:

4 0
3 years ago
A parabola can be drawn given a focus of (8, 6) and a directrix of x=4. Write the equation of the parabola
Orlov [11]

Answer:

<em>The equation of the Parabola</em>

 <em>(y - 6 )² = 8 (x -6)</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given directrix  x = 4

we know that    x = h - a = 4

               h -a =  4  ...(i)

Given Focus  = ( 8,6)

we know that the Focus of the Parabola

         ( h + a , k ) = ( 8,6)

   comparing  h + a = 8 ...(ii)

                  k = 6

solving (i) and (ii) and adding

   h - a + h+ a = 8 +4

           2 h = 12

              h =6

   Put h = 6 in equation (i)

  ⇒     h - a =4

  ⇒   6 - 4 = a

  ⇒      a = 2

<u><em>Step(ii):-</em></u>

<em>The equation of the Parabola ( h,k) = (6 , 6)</em>

<em>( y - k )² = 4 a ( x - h )</em>

<em>(y - 6 )² = 4 (2) (x -6)</em>

<em>(y - 6 )² = 8 (x -6)</em>

<u><em></em></u>

3 0
2 years ago
Which of these is a unit of density?<br> km/m<br> kg/m?<br> kg/m<br> kg/m
Zielflug [23.3K]

Answer: Kg/m³

Step-by-step explanation: Mass/ Volume

5 0
3 years ago
Read 2 more answers
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