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Elodia [21]
2 years ago
9

The given series has six terms. what is the sum of the terms of the series? 17 + 25 + 33 + . . . + 57

Mathematics
1 answer:
nikdorinn [45]2 years ago
3 0
Sum of the terms of the series is

Sn = n/2 ( a1+an )

we have n= 6 , a1= 17, an = 57
so Sn = 6/2 ( 17+57) = 3(74) = 222
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Jonathan increased his rate of walking by 25% at halfway to his destination and therefore arrived half an hour earlier than was
Flura [38]

Answer:

1.67 hours

Step-by-step explanation:

Let the original speed of Jonathan = x units/hr

Let the original time taken by Jonathan = y hours

Let the distance = D units

Formula for distance is given as:

Distance = Speed \times Time

Given that half the distance is covered by original speed.

\Rightarrow \dfrac{D}{2} = \dfrac{x}{2}\times \dfrac{y}{2}\\\Rightarrow D = \dfrac{xy}{2} ..... (1)

Half the distance is covered by increasing the rate by 25%.

i.e. increased speed:

\dfrac{5}{4}x\ units/hr

Hence, Time taken:

\dfrac{y}{2}-\dfrac{1}{2}

Distance traveled is half of the total distance:

\Rightarrow \dfrac{D}{2} = \dfrac{5x}{4}\times (\dfrac{y}{2}-\dfrac{1}{2})\\\Rightarrow D = \dfrac{5x}{2}\times (\dfrac{y}{2}-\dfrac{1}{2}) .... (2)

Dividing (1) by (2):

\dfrac{xy\times 4}{2\times 5x(y-1)} = 1\\\Rightarrow 2y=5y-5\\\Rightarrow 3y=5\\\Rightarrow y =1.67\ hours

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2 years ago
Arrange the following from least to greatest 0.08,0.1, 1.8, 0.049, 0.103
8_murik_8 [283]
0.049, 0.08, 0.1, 0.103, 1.8.
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2 years ago
Please help me I'm stumped on this​
Sladkaya [172]

Answer: 1300 cm^3, 850 cm^2

Step-by-step explanation:

With a triangular prism, you need to calculate the surface area of the triangle first and then the length. Here's how to solve for the volume (A):

Triangles is b*h/2, plug in the equation

10*13/2

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65

Now use the length of the rest of the shape, which is 20 cm.

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the volume is 1300 cm^3.

for B, finding the surface area requires you to analyze each individual part of the shape.

Each part colored in represents a different shape:

Red:

10*20=200

Blue:

13*10/2=65

65*2=130 (Two triangles)

Green:

13*20=260

260*2=520 (Two rectangles)

Add them all up together.

200+130+520= 850 cm^2

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2 years ago
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pickupchik [31]

B. f(x) = 2(4)x–3 (e2020)

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