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Allushta [10]
2 years ago
12

Determine the sum of the first 33 terms of the following series: −52+(−46)+(−40)+...

Mathematics
1 answer:
masya89 [10]2 years ago
6 0

Answer:

1320

Step-by-step explanation:

Use the formula for sum of series, s(a) = n/2(2a + (n-1)d)

The terms increase by 6, so d is 6

a is the first term, -56

n is the terms you want to find, 33

Plug in the numbers, 33/2 (2(-56)+(32)6)

Simplify into 33(80)/2 and you get 1320

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help Bob divide his water plants for the outer four aquariums. Insert images of the plant in the space below to show how you can
dexar [7]

Answer:

The Answer is 4.5 or 4 1/2

Step-by-step explanation:

3 0
3 years ago
Need help help on this question
balu736 [363]

Answer:70

Step-by-step explanation:

step 1:add up the angles you know

step 2:subtract the answer (220) from the total angle measure of a square which is 360 then you get 140

step 3: divide 140 by 2 because the two angles on the sides are equivalent and you get 70

6 0
3 years ago
Fine the equivalent expression 4^-5
Novay_Z [31]

Answer:

1/1024

Step-by-step explanation:

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1/1024

3 0
2 years ago
A line passes through the origin and has a slope of -3 what is the equation of the line that is perpendicular to the first line
Marianna [84]

Answer: y=\frac{1}{3}x+3

Step-by-step explanation:

The equation of the line is Slope-intercept form is:

y=mx+b

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The slopes of perpendicular lines are negative reciprocal.

Then, if the slope of the first line is -3, the slope of the other line must be:

m=\frac{1}{3}

Substitute the point (3,4) into the equation and solve for b:

4=\frac{1}{3}(3)+b\\ 4-1=b\\b=3

Then the equation of this line is:

y=\frac{1}{3}x+3

3 0
3 years ago
Read 2 more answers
A rectangle and a triangle with the same base and height have the same area.
OverLord2011 [107]
The answer is false because if you attach to triangles together in a way so that the figure would have 4 straight lines, you will get a rectangle. that means half of a rectangle is a triangle, so the area of both cannot be the same even if they have the same base and height.


for example the base and height of both is 3cm and 5cm.

area of the rectangle then would be,
area= base× height
=3cm×5cm=15cmsquared

then the area of the triangle would be,
area= base×height divided by 2
=3cm×5cm÷2= 7.5cm

so your answer is false
hope this helps....
5 0
3 years ago
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