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3 years ago

Find S11 for 1 + 2 + 4 + 8 +

1 answer:

4 0

Evaluating the given sequence, it is evident that the next number is twice the number prior to it. Thus, the given is a geometric sequence with first term (a1) equal to 1 and common ratio of 2. The geometric series may be calculated by the equation,

Sn = a1 x (1 - r^n) / (1 - r)

where Sn is the sum of n terms in this case, n = 11.
Substituting the known values,

 Sn = 1 x (1 - 2^11) / (1 - 2) = 2047

Thus, S11 is 2047.

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What is the measure of the missing angle in the figure below?

Aleks [24]

Sum of all interior angles in a triangle = 180
let missing angle = x

x + 144 + 13 = 180
x + 157 = 180
x = 23

answer
23 degrees

7 0

2 years ago

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Find n. 8/12 = n/48. n = ?

Novosadov [1.4K]

Answer:

n = 32

Step-by-step explanation:

Given:

$\frac{8}{12}=\frac{n}{48}$

Solve:

$\mathrm{Cross\; Multiply:}$

$\frac{8}{12}=\frac{n}{48}$

$\mathrm{48\times8=384}$

$\mathrm{384\div12=32}$

$\mathrm{Hence,n=32}$

~ $\mathrm{[Kavinsky]}$

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1 year ago

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find the particular solution to the exact differentiable equation dy/dx=(2e^x)-cosx passing through the point (0,3)

lozanna [386]

Answer:

y = 2eˣ - sin x + 1

Step-by-step explanation:

dy/dx = 2eˣ - cos x

(0, 3)

Integrate dy/dx to find the original function.

y = 2eˣ - sin x + C

Solve for C by substituting the point given.

3 = 2e⁰ - sin(0) + C
3 = 2 - 0 + C
1 = C

Now we can substitute C into the original function.

y = 2eˣ - sin x + 1

This is the particular, or explicit, solution to the differentiable equation.

7 0

2 years ago

First to answer correctly will be marked brainliest

kozerog [31]

Answer:

Step-by-step explanation:

Binomial: 2 terms
Trinomial: 3 terms
Linear: a straight line
Quadratic: like a curved line

(3x + 2) - (x + 5)

1(3x + 2) - 1(x + 5)

3x + 2 - x - 5 <== combine like terms

3x - x + 2 - 5

2x - 3 <== final answer, linear binomial

(2x + 8) + (3x² - 2)

1(2x + 8) + 1(3x² - 2)

2x + 8 + 3x² - 2

3x² + 2x + 6 <== final answer, quadratic trinomial

(3x + 8) + (4x² - x)

1(3x + 8) + 1(4x² - x)

3x + 8 + 4x² - x

4x² + 2x + 8 <== final answer, quadratic trinomial

(x² + 5x minus (-) 2) + (8 minus (-) 5x)

(x² + 5x - 2) + (8 - 5x)

1(x² + 5x - 2) + 1(8 - 5x)

x² + 5x - 2 + 8 - 5x

x² + 6 <== final answer, quadratic binomial

(x² + 7x) - (x² + 5)

1(x² + 7x) - 1(x² + 5)

x² + 7x - x² - 5

7x - 5 <== final answer, linear binomial

Hope this helps!

7 0

1 year ago

A car completes a journey at an average speed of 40km/h.At what speed must it travel on the return journey if the average speed

nalin [4]

The distance, s = 40t₁ where t₁ is the time to complete the outward journey.
The same distance = vt₂ where t₂ is the time to complete the return journey at speed v.
For the whole journey, 2s=60(t₁+t₂). Therefore s=30(t₁+t₂)=40t₁=vt₂.
30t₁+30t₂=40t₁, 10t₁=30t₂, t₁=3t₂, so s=120t₂=vt₂ and v=120kph.

5 0

2 years ago