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2 years ago

What is the 22nd term of the arithmetic sequence 12 , 17 , 22 , 27 , .... , .... , ....

Mathematics

1 answer:

11Alexandr11 [23.1K]2 years ago

5 0

Answer: 117

Step-by-step explanation:

Formula for arithmetic sequence is:

= a + (n - 1)d

22nd term = a + (n - 1)d

= a + (22 - 1)d = a + 21d

where, a = 12

d = 17 - 12 = 5.

Therefore, 22nd term will be:

= a + 21d

= 12 + 21(5)

= 12 + 105

= 117

The 22nd term is 117

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Find the x-intercepts of the parabola with vertex (1, -9) and y intercept at (0, -6).

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Hello,

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3 years ago

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2 years ago

What is the solution to sqrt 17-x=x+3? Show your work.

snow_lady [41]

Answer:

$x=1$

Step-by-step explanation:

Remember:

$(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2$

Given the equation $\sqrt{17-x}=x+3$ , you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

$(\sqrt{17-x})^2=(x+3)^2$

$17-x=(x+3)^2$

Simplifying, you get:

$17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0$

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

$(x-1)(x+8)=0$

Then:

$x_1=1\\x_2=-8$

Let's check if the first solution is correct:

$\sqrt{17-(1)}=(1)+3$

$4=4$ (It checks)

Let's check if the second solution is correct:

$\sqrt{17-(-8)}=(-8)+3$

$5\neq-5$ (It does not checks)

Therefore, the solution is:

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3 years ago

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Answer:

The Sample size is 1918.89035

Step-by-step explanation:

Consider the provided information.

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Therefore p = 14/105 = 0.13 3... and q=1-0.133=0.867

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Subtract the confidence level from 1, then divide by two.

$\frac{(1 -0.99)}{2}=0.005$

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Calculate the sample size as:

$n=\frac{z^2pq}{e^2}$

Where, e is the margin of error,

Substitute the respective values.

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Hence, the Sample size is 1918.89035

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2 years ago

The expression 36 ÷ 6 • 2 + 1 is equal to _____. 2 4 13 18

NeTakaya

Answer:

Step-by-step explanation:

36/6 · 2 + 1

6 ·2 + 1

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3 years ago

What is the 22nd­ term of the arithmetic sequence ­­­ ­ ­ ­­ ­ ­ ­ ­­ 12 , 17 ,­ 22 , 27 , .... , .... , ....

What is the 22nd term of the arithmetic sequence 12 , 17 , 22 , 27 , .... , .... , ....