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Pani-rosa [81]
2 years ago
13

Choose the correct answer from the given four options: In an AP, if d = –4, n = 7, an = 4, then a is *

Mathematics
1 answer:
BabaBlast [244]2 years ago
7 0

a = 28.

Step-by-step explanation:

{a}n = a  + (n - 1)d

4 = a + (7 - 1)( - 4)

4 = a + 6( - 4)

4 = a + ( - 24)

4 = a - 24

4 + 24 = a

28 = a

(OR)

a = 28.

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How many different license plates are possible if a license plate consists of 2 capital letters followed by 5 digits?
Alina [70]

The first letter can be any one of 26 letters.  For each one . . .
The second letter can be any one of 26 letters.  For each one . . .

The first digit can be any one of 10 digits.  For each one . . .
The second digit can be any one of 10 digits.  For each one . . .
The third digit can be any one of 10 digits.  For each one . . .
The fourth digit can be any one of 10 digits.  For each one . . .
The fifth digit can be any one of 10 digits.

The total number of possibilities is

                   (26 x 26 x 10 x 10 x 10 x 10 x 10) =

                   ( 26² x 10⁵) = (676 x 100,000) = <em>67,600,000</em> .


6 0
3 years ago
Read 2 more answers
Please please help me
Anarel [89]

so you are going to use the Pythagorean theorem on the smaller triangle to find the connecting side's length

{5}^{2}  = {3}^{2} ( {b}^{2} ) \\ b = 4

now you can find the bigger triangle's hypotenuse

{6}^{2}  +  {4}^{2}  =  {c}^{2}  \\

c=4

8 0
3 years ago
By what percent will a fraction decrease if its numerator is decreased by 50% and its denominator is decreased by 25%?
il63 [147K]
The answer is 66.6666%
3 0
3 years ago
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What is the solution to the system of equations? 3x - 6y = -12, x -2y =-8.
Xelga [282]

Answer:

Step-by-step explanation:

First, we need to write down the equations so we can have a vision of the equations.

3x - 6y = -12

x - 2y = -8

Now we find the simpler equation, and we make it to where one of the variables is on one side.

Let's use the bottom equation.

x = 2y - 8

Now we plug in the equation to the other equation.

3(2y - 8) - 6y = -12

6y - 24 - 6y = -12

-24 = -12

0 = 12

This is a false statement. 0 does not equal 12. That means that the equation has no solutions.

6 0
2 years ago
From the table below, determine whether the data shows an exponential function. Explain why or why not.
Ierofanga [76]
X        Δx                                   y             Δy

3                                               1          

1        1 - 3 = - 2                        2             2 - 1 = 1

-1        -1 - 1 = -2                      3              3 - 2 = 1

-3        -3 - (-1) = -2                  4               4 - 3 = 1


So, as you see y in increasing in regular constant intervals, when x also increases in regular constant intervals. => Δy / Δx = constant.

That is the result of a linear function, not an exponential one.

So, the true statement is given by the option <span>(A) No; the domain values are at regular intervals and the range values have a common sum 1. </span>
8 0
3 years ago
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