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3 years ago

Which expressions are equal to 105?

Mathematics

1 answer:

Tamiku [17]3 years ago

6 0

Answer:

103 and 102

Step-by-step explanation:

u add them together

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Please help right away.

Travka [436]

$\sum\limits_{k=1}^{\infty}420\left(\dfrac{1}{6}\right)^{k-1}$

The infinite geometric series is converges if |r| < 1.

We have r=1/6 < 1, therefore our infinite geometric series is converges.

The sum S of an infinite geometric series with |r| < 1 is given by the formula :

$S=\dfrac{a_1}{1-r}$

We have:

$a_1=420\left(\dfrac{1}{6}\right)^{1-1}=420\left(\dfrac{1}{6}\right)^0=420\\\\r=\dfrac{1}{6}$

substitute:

$S=\dfrac{420}{1-\frac{1}{6}}=\dfrac{420}{\frac{5}{6}}=420\cdot\dfrac{6}{5}=84\cdot6=504$

Answer: d. Converges, 504.

8 0

3 years ago

What is the answer to: 3(x-2)+2(4x-1)

irga5000 [103]

11x-8 is the answer

8 0

3 years ago

Read 2 more answers

What is the volume of a hemisphere with a radius of 2.1 m, rounded to the nearest tenth of a cubic meter?

Art [367]

Answer:

The volume of hemisphere is 19.4 cubic meter.

Step-by-step explanation:

Given:

A hemisphere is with a radius of 2.1 m.

Now, to find the hemisphere volume with radius 2.1 m.

$Radius\ (r) = 2.1 m.$

So, we put formula to get the volume of hemisphere:

$Volume=\frac{2}{3} \pi r^3\ \ \ \ \ (Taking\ the\ value\ of\ \pi =3.14)\\\\Volume=\frac{2}{3} \times 3.14\times 2.1^3\\\\Volume=\frac{2}{3} \times 3.14\times 9.26\\\\Volume=19.384\ cubic\ meter.$

Hence, the rounded to the nearest tenth of a cubic meter is 19.4 cubic meter.

Therefore, the volume of hemisphere is 19.4 cubic meter.

3 0

2 years ago

80 POINTS HELP 1. What is the value of x? Show all of your work.

AnnyKZ [126]

Answer:

x = 9cm

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

6^2 + x^2 = ( sqrt(117) ^2)

36 + x^2 = 117

Subtract 36 from each side

x^2 = 117 -36

x^2 = 81

Take the square root of each side

sqrt(x^2) = sqrt(81)

x = 9

6 0

3 years ago

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1. What is the ratio of black to white squares? (1 mark) I

kati45 [8]

im sure it would be 2:4. if it was to be simplified it would be 1:2

6 0

2 years ago

Read 2 more answers