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2 years ago

Find the 15th term in the sequence f(n)=6n-3

Mathematics

1 answer:

Alex2 years ago

4 0

Answer:

Step-by-step explanation:

f(15) = 6(15)-3

= 90 - 3

= 87

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Write 9− 16x⁴ as the product of two factors.

Marysya12 [62]

Answer:

The two factors will be $=(3+4x^2)\ and\ (3-4x^2)$

Step-by-step explanation:

We have given the equation $9-16x^4$

We know the algebraic equation $a^2-b^2=(a+b)(a-b)$

As $9-16x^4$ can be written as $3^2-(4x^2)^2$ , as square of 3 is 9 and square of $4x^2$ is $16x^4$

So $9-16x^4=3^2-(4x^2)^=(3+4x^2)(3-4x^2)$

So the two factors will be $=(3+4x^2)\ and\ (3-4x^2)$

6 0

2 years ago

A company makes wax candles in the shape of a solid sphere. Suppose each candle has a diameter of 15 cm. If

jekas [21]

We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.

To solve our given problem, we will divide total volume of wax by volume of one candle.

Volume of each candle will be equal to volume of sphere.

$V=\frac{4}{3}\pi r^3$ , where r represents radius of sphere.

We know that radius is half the diameter, so radius of each candle will be $\frac{15}{2}=7.5$ cm.

$\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot (7.5\text{ cm})^3$

$\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot 421.875\text{ cm}^3$

$\text{Volume of one candle}=1766.25\text{ cm}^3$

Now we will divide 70,650 cubic cm of wax by volume of one candle.

$\text{Number of candles}=\frac{70,650\text{ cm}^3}{1766.25\text{ cm}^3}$

$\text{Number of candles}=\frac{70,650}{1766.25}$

$\text{Number of candles}=40$

Therefore, 40 candles can be made from 70,650 cubic cm of wax.

8 0

3 years ago

Please help been stuck on this for awhile

MakcuM [25]

Answer:

1. F (the row has 1164, the four-digit number with the least value)

3. K (985 is the greatest 3-digit number)

4. J (67176 is the palindrome with the greatest number of digits)

5. K (3579 is the greatest number of odd numbers in counting order)

Step-by-step explanation:

I couldn't find an answer to number 2, sorry! You should probably go over it one more time and check that all these answers are correct. You might catch something I missed :)

Hope this helps!

8 0

2 years ago

Quicky help????????????

sergeinik [125]

Step-by-step explanation:

first bring 87.5 to right

25t=12.5+87.5

25t=100.0

then bring 25 to right so it will divided

t=100.0/25

t=4

putting value of t in 25t-87.5=12.5

25(4)-87.5=12.5

5 0

2 years ago

Kent constructs 1 1/4 building models in 1/5 of an hour. How many models can he construct in one hour?

marissa [1.9K]

Answer:

2/4

Step-by-step explanation:

7 0

2 years ago