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7nadin3 [17]
3 years ago
7

Find the sum of the first 47 terms of the following series, to the nearest integer. 9,18,27,...

Mathematics
2 answers:
luda_lava [24]3 years ago
9 0
18 is the answer hood this will help you
Shkiper50 [21]3 years ago
3 0

Answer:

10152

Step-by-step explanation:

Common difference:

18-9=9

27-18=9

d=9

Explicit formula:

an = a1 +(n-1)d

a47 = 9+ (46)(9)

a47 = 423

Find sum: Sn = n(a1+an)/2

47(9+423)/2

47(423)/2 = 20304/2 = 10152

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A line with slope 3/8 passes through the point -4 0 find another point on the same line​
Mamont248 [21]

Answer:

(0,3/2)

Step-by-step explanation:

y-y1=m(x-x1)

y-0=3/8(x- -4)

y= 3/8x+ 3/2

3/2= y intersept

(0,3/2)= second point

5 0
3 years ago
Which scatterplot has a correlation coefficient closest to r = 1?
qwelly [4]

Answer:

The scatter diagram that contains the correlation coefficient closest to r = 1 is the first one shown in the attached images.

Step-by-step explanation:

The correlation coefficient "r" measures how much two variables x and y are related. When the variables are highly related, the value of r is closer to one and the points contained in the scatter diagrams are assimilated more and more to a line. When the value of r is positive the relation is crescent and therefore the slope of the line drawn by the points in the diagram has a positive slope


Therefore, to answer this question, one must search among the attached images for the dispersion diagram in which the points resemble a straight line with a positive slope.


The scatter diagram that meets the requirements mentioned is the first one that appears in the attached images

6 0
4 years ago
Read 2 more answers
Find sec A and cot B exactly if a = 8 and b = 7.
Shtirlitz [24]

Answer:

sec A= 1.01 and cot B =8.25

Step-by-step explanation:

Given :

sec A and cotB if a =8 and b=7

Now,

=sec A=\frac{1}{cos A} \\\\\frac{1}{cos 8} \\\\\frac{1}{0.99} \\1.01

and

cot B=\frac{cosB}{sin B} \\cotB=\frac{cos 7}{sin7} \\cot B =\frac{0.99}{0.12} \\cot B =8.25

Therefore, answer will be sec A= 1.01 and cot B =8.25

8 0
3 years ago
If $1000 is divided equally amung 12 people about how much will each person reserve?
Dmitry_Shevchenko [17]
$1,000/12 = 83.3 repeated
Each person will reserve about $83.
3 0
3 years ago
Read 2 more answers
How to factor 4x^2+7x-15
GuDViN [60]
4x^2+7x-15

Break the expression into group:

(4x^2+5x)+(12x-15)

factor out x from 4x² - 5x : x (4x-5)
factor out 3 from 12x-15 : 3 (4x-5)

=x(4x-5)+3(4x-5)

factor out common term (4x-5) :

= (4x-5)(x+3)

hope this helps!

4 0
3 years ago
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