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Free_Kalibri [48]

3 years ago

10

In a class of 30 students, 22 study physics (P) and 19 study chemistry. What is the number of students who study both physics an

d chemistry?

1 answer:

Ket [755]3 years ago

4 0

Answer:

11

Step-by-step explanation:

22+19=41

41-30=11

22 study physics, 19 study chemistry and 11 study both

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Write a rule for the nth term of the arithmetic sequence:<br><br> a11= 50, d = 7

ivolga24 [154]

Answer:

Required rule for $n^{th}$ is $a_{n}=7n-27$ .

Step-by-step explanation:

Given that,

$a_{11} = 50,\ \ d=7$

From the question: we have to write the $n^{th}$ term of Arithmetic sequence.

Arithmetic Sequence or Arithmetic progression (A.P) : It is a sequence which possess that difference between of two successive sequence is always constant.

$a_{1} ,a_{2},a_{3},a_{4}.....................a_{n-1},a_{n}$

where, $a_{1}$ is the first term of A.P

$d$ is the common difference.

$a_{n}$ is the last term or general term.

The above sequence to be in A.P then their common difference should be equal.

$d=a_{2}-a_{1} =a_{3}-a_{2}=a_{4} -a_{3} ..........................a_{n}-a_{n-1}$

Now, Formula of General Term is $a_{n}=a+(n-1)d$

So, $a_{11}= a+(11-1)d\\ a_{11} = a+10d$

Substituting the value of $a_{11} = 50,\ \ d=7$ we get,

$50=a+10\times7\\50=a+70\\a=-20$

Then General term ( $a_{n}$ ) of given data is

$a_{n}=-20+(n-1)7\\a_{n}=-20+7n-7\\a_{n}=7n-27$

Therefore, Required rule for $n^{th}$ is $a_{n}=7n-27$ .

5 0

3 years ago

Need some help please. thank you :)

rodikova [14]

The answer the third option (4,2)

5 0

3 years ago

Read 2 more answers

A line has gradient 5.

MAVERICK [17]

Answer:

x = k - 3

Step-by-step explanation:

Given parameters:

Gradient of the line = 5;

Coordinates; M(x, 8)

N(k, 23)

Solution:

If we use the expression for finding the slope of the line, we can solve this problem;

Slope = $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

where

x₁ = x y₁ = 8

x₂ = k y₂ = 23

Input the parameters:

5 = $\frac{23 - 8}{k -x }$

15 = 5(k - x)

3= k- x

k - x = 3

Express x in terms of k;

-x = 3 - k

Multiply through by -1;

x = -3 + k

x = k - 3

7 0

3 years ago

Which statement is true about the points (-4,6) and (4,-6) is true

White raven [17]

Answer:

D.

Step-by-step explanation:

I graphed it. They are both not in the same qudrant because both their x and y values are opposites. This led me to believe that they were in quadrants digaonal of each other, meaning the answer was D, because if you flipped the point across the x or y axis and then flipped it again across the other axis, it would be that point. Just in case, I graphed it. Please tell me if I'm wrong :)

8 0

3 years ago

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Solve for d.<br> 2d + 4 = 10 + 5d

sveta [45]

Answer:

d = -2

Step-by-step explanation:

2d - 5d = -3d

10 - 4 = 6

-3d = 6

d = -2

Kono Dio Da!!!

5 0

4 years ago

Read 2 more answers