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3 years ago

(7-98)(7+98)

Mathematics

1 answer:

Fantom [35]3 years ago

6 0

Answer:

Step-by-step explanation:

(7-98)(7+98)

= 7^2 - 98^2

= 49 - 9604

= -9555

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What is the work and awnser to 4732 dived by 364

Fiesta28 [93]

The answer is 13. The work is below

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3 years ago

Help with this, please!<br><br><br>It's about the volume of a cone

Lena [83]

Answer:

Step-by-step explanation:

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2 years ago

If the second term of a geometric sequence of real numbers is -2 and the fifth term is 16 then what is the fourteenth term?

Agata [3.3K]

<h3>Given</h3>

A geometric sequence such that ...

$a_2=-2\quad\text{and}\quad a_5=16$

$a_{14}$

<h3>Solution</h3>

We can use the ratio of the given terms to find the common ratio of the sequence, then use that to find the desired term from one of the given terms. We don't actually need the common ratio (-2). All we need is its cube (-8).

$a_2=a_1r^{(2-1)}=a_1r^1\\a_5=a_1r^{(5-1)}=a_1r^4\\a_{14}=a_1r^{(14-1)}=a_1r^13=a_5r^9\\\\\dfrac{a_5}{a_2}=\dfrac{a_1r^4}{a_1r^1}=r^3=\dfrac{16}{-2}=-8\\\\r^9=\left(r^3\right)^3=(-8)^3=-512\\a_{14}=a_5(-512)\\\\a_{14}=-8192$

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3 years ago

HELP PLEASE !!!!!!!!!!

Arada [10]

Answer:

Answer B $(-\infty,1)U(1,2]$

Step-by-step explanation:

Notice that the quotient of f(x)/g(x) is:

$h(x)=\frac{\sqrt{2-x} }{x-1}$

therefore, this new function imposes conditions due to the fact that it has a square root in the numerator and a binomial in the denominator both with the variable x. Then, in order for the root in the numerator to be defined, the argument inside the root must be larger than or equal to zero. That is:

$2-x\geq 0\\2\geq x\\x\leq 2$

So, this condition must be satisfied by the x-values of the domain.

Then we have the binomial in the denominator, which in order to be defined needs to be different from zero. Notice that the only x-value that could cause problems (render zero) is:

$x-1=0\\x=1$

Then, $x\neq 1$

So we have to eliminate the number 1 from the previous subset that required x smaller than or equal to 2.

The way to represent this Domain is then: $(-\infty,1)U(1,2]$

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3 years ago

The Greenpoint factory produced two-fifths of the Consolidated Brick Company’s bricks in 1991. If the Greenpoint factory produce

ohaa [14]

Answer:

3500 tons

Step-by-step explanation:

The Greenpoint factory produced 2/5 of the bricks that the Consolidate Brick Company produced in 1991.

Let the amount of bricks produced by the Greenpoint factory be g and the amount of bricks produced by the Consolidated brick company be c.

Therefore:

g = 2/5 * c = 2c/5

That year, the Greenpoint factory produced 1400 tons of bricks. This implies that:

1400 = 2c/5

To find the amount that the Consolidated Brick Company produced, solve for c:

1400 = 2c/5

1400 * 5 = 2c

7000 = 2c

c = 7000 / 2 = 3500 tons

The Consolidated Brick Company had a total production output of 3500 tons in 1991.

4 0

2 years ago