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3 years ago

Find the sum of the sequence 36 37 38 39 ... 109=

1 answer:

8 0

It's an arithmetic sequence:

$a_1=36;\ a_2=37;\ a_3=38;\ ...\ ;\ a_{74}=109\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\a_1=36;\ n=74;\ a_{74}=109\\\\S_{74}=\dfrac{36+109}{2}\cdot74=\dfrac{145}{2}\cdot74=72.5\cdot74=5365$

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trapecia [35]

I would say two is the right one

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3 years ago

What equation in slope intercept form represents the line that passes through the two point? (6.9,5.9), (10.9,-2.1)

den301095 [7]

Answer:

y = 2x + b

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2 years ago

7th Grade Math<br> Please help<br> -7 = 1/3 a<br> Find the value of a

julsineya [31]

Answer:

$\huge\boxed{a=-21}$

Step-by-step explanation:

$-7=\dfrac{1}{3}a\to\dfrac{1}{3}a=-7\qquad|\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\dfrac{1}{3\!\!\!\!\diagup}a=(-7)(3)\\\\a=-21$

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3 years ago

Carlos is using the quadratic formula to find the solutions of y=3x^2-5x-2. Which of the following will simplify to the correct

Nana76 [90]

Answer:

$Fx=\frac{5\pm\sqrt{25+24} }{6}$

Step-by-step explanation:

A quadratic equation in one variable given by the general expression:

$ax^2+bx+c$

Where:

$a\neq 0$

The roots of this equation can be found using the quadratic formula, which is given by:

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

So:

$y(x)=3x^2-5x-2=0$

As you can see, in this case:

$a=3\\b=-5\\c=-2$

Using the quadratic formula:

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}=\frac{-(-5)\pm\sqrt{(-5)^2-4(3)(-2)} }{2(3)}=\frac{5\pm\sqrt{25+24} }{6}$

Therefore, the answer is:

$Fx=\frac{5\pm\sqrt{25+24} }{6}$

4 0

3 years ago

Dylan's expenditures for each of the past six months were: March $1,248.59; April, $1,365.38; May, $1,024.30; June, $1,100.40; J

ivann1987 [24]

Answer:

The average monthly expenditure is 1,155.35 $.

Step-by-step explanation:

The average of any sequency is given by the sum of it's individual parts divided by the number of parts it has. So in this case the average of monthly expenditure will be the sum of all individual expenditures divided by the number of months. The question can be solved like this:

average = (March+ April + May + June + July+ August)/6

average = (1,249.59 + 1,365.38 + 1,024.3 + 1,100.4 + 992,4 + 1,200.02)/6

average = 1,155.35 $

3 0

2 years ago

Read 2 more answers