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3 years ago

The third term of a sequence is 36. Each term after the first is three times the previous term.

Mathematics

1 answer:

Yuri [45]3 years ago

5 0

Sorry i need points>.

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Find two consecutive positive intergers such that the square of the smaller interger is nineteen more than five times the larger

Naddika [18.5K]

Answer:

8 and 9

Step-by-step explanation:

Let the two consecutive integers be x - 1 and x

Smaller = x-1

Largere = x

If the square of the smaller integer is nineteen more than five times the larger integer, then;

(x-1)² = 19 + 5x

Expand

x²-2x+1= 19+5x

x²-2x-5x+1-19 -0

x²-7x-18 =0

Factorize

x²-9x+2x-18 =0

x(x-9)+2(x-9) = 0

(x+2) = 0 and x - 9 = 0

x = -2 and 9

SInce x cannot be negative;

x = 9

Smaller number = 9-1

Smaller number = 8

Hence the two consecutive integers are 8 and 9

6 0

3 years ago

Stevie has some marbles

Citrus2011 [14]

Stevie has 25marbles
Freddie's has 25x2:50marbles
Danny has 50+5:55marbles

4 0

4 years ago

Read 2 more answers

Quiz due today! Please help me. No links! 10 points

Phoenix [80]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Rudik [331]

Answer:

The ratio of their volumes is: $\frac{729}{64}$

Step-by-step explanation:

If the cones are similar, then the ratio of their heights should equal the ratio of their radiuses. If we call R the radius of the larger cone (the one of height 9 cm) and r the radius of the smaller cone (the one of height 4 cm), then the following proportion should be verified:

$\frac{R}{r} =\frac{9}{4} \\R=\frac{9\,r}{4}$

where we have solved for "R" in terms of "r".

Now we input this information in the formula for the volume (V) of the largest cone, and for the volume (v) of the smaller cone, recalling that the volume of a cone is the product of the area of the cone's circular base ( $\pi *\,radius^2$ ).

$v=\frac{\pi\,r^2\,4\,}{3} =\pi r^2\,\frac{4}{3} \\V=\frac{\pi\,R^2\,9}{3}=\frac{\pi\,(\frac{9\,r}{4} )^2\,9}{3}=\frac{\pi\,r^2\,729}{16*3}=\pi r^2\,\frac{243}{16}$

So now the ratio of their volumes (V/v) can be obtained:

$\frac{V}{v} =\frac{\frac{243}{16}}{\frac{4}{3}} =\frac{729}{64}$

6 0

3 years ago

4x^2 + 7x - 2 = 0 all the steps using quadratic formula

Natali5045456 [20]

the answer is 55

hope this helped

7 0

3 years ago