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2 years ago

Find the sum of the first 48 terms of the following series, to the nearest integer.

Mathematics

2 answers:

Usimov [2.4K]2 years ago

5 0

Step-by-step explanation:

∑k=150(3k+2)

First find a1 and a50 :

a1=3(1)+2=5a20=3(50)+2=152

Then find the sum:

Sk=k(a1 + ak)2S50=50(5 + 152)2=3925

Paladinen [302]2 years ago

5 0

Answer:

3672

Step-by-step explanation:

Delta math

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Emily designed a robot that could climb down steps. She drew a graph to show the results from a test of her new robot. The graph

VARVARA [1.3K]

<span> i belive that it is B. y=110x+15</span>

5 0

2 years ago

Consider a situation in which P(A) = 1/8, P(C) = 1/4, and P(A and B) = 1/12. What is P(B and C)?

V125BC [204]

ANSWER

$P(B \: and \: C) = \frac{1}{6}$

EXPLANATION

Recall that,

$P(A \: and \: B)=P(A) \times P(B)$

But we were given that,

$P(A)= \frac{1}{8}$

and

$P(A \: and \: B) = \frac{1}{12}$

We substitute these values into the above formula to obtain,

$\frac{1}{12} = \frac{1}{8} \times P(B)$

This implies that,

$\frac{1}{12} \times 8=8 \times \frac{1}{8} \times P(B)$

This simplifies to,

$P(B) = \frac{8}{12}$

$P(B) = \frac{2}{3}$

So we can now find
$P(B \: and \: C).$

We use the same formula again,

$P(B \: and \: C) = P(B) \times P(C)$
We substitute the values to get,

$P(B \: and \: C) = \frac{2}{3} \times \frac{1}{4}$
We multiply out to get,

$P(B \: and \: C) = \frac{1}{6}$

7 0

3 years ago

Read 2 more answers

I need help thank you

aliina [53]

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

we can find angle C b/c the angles of a triangle always add to 180 , soo

180= C + 81 +63.5

35.5 = C

now that we have angle C and we know the Hyp we can use sin to find side g

where g = Opp and Hpy = 13.8 for this question

Sin(35.5) = Opp / 13.8

13.8*Sin(35.5) = Opp

8.0137 = Opp

g = 8.0137

next they ask for the area of the biggest triangle ABC ( there are two smaller ones when you use D )

we can use 1/2 * base * height , but we don't know the base yet, even thou we do know the height.

we can solve for line segment CD and DB and then add them for the side a .. or the base of the biggest triangle sooo.. CD = adj

Cos(35.5) = Adj / 13.8

13.8*Cos(35.5) = Adj

11.234794 =Adj

now solve for DB using cos again but with the other smaller triangle where Adj = DB now

Cos(63.5) = Adj / 8.9

8.9*Cos(63.5) = Adj

3.971160

add these two Adjs together to get the total 'a' side

15.205954

now plug in side a as the base and g as the height of our biggest triangle

Area = 1/2 * 15.205954 * 8.0137

Area = 60.9159

rounded to 2 sig figs

Area = 60.92 :) hope you get an "A" :P

3 0

2 years ago

The population of a certain species of fish in a lake after t years is given by P(t)=18801 + 1.42e-0.037t. Find the horizontal a

Lunna [17]

Answer:

a) 188 fishes

b) 1259 fishes

Hope this helps!

4 0

2 years ago

Solve 4.62 + (−12.3).<br><br> 56.83<br> 5.85<br> −7.68<br> −16.92

ikadub [295]

The sum of the given decimal numbers is -7.68

<h3>Sum of decimal numbers</h3>

Decimal numbers are numbers that contains decimal points. Given the expression below;

4.62 + (−12.3).

Convert to fraction to have:

4.62 + (−12.3) = 462/100 - 123/10

Find the LCM

4.62 + (−12.3) = 462-1230/100

4.62 + (−12.3) = -768/100

4.62 + (−12.3) =-7.68

Hence the sum of the given decimal numbers is -7.68

Learn more on sum of numbers here; brainly.com/question/25734188

#SPJ1

4 0

1 year ago