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3 years ago

A common multiple of 8 and 5

Mathematics

2 answers:

ale4655 [162]3 years ago

5 0

Answer: idk but 40?

Step-by-step explanation:

bazaltina [42]3 years ago

3 0

Common multiples of 8 and 5 include but are not limited to 40, 80, 120, 160

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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).

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

7 0

3 years ago

14 yd

son4ous [18]

Answer:

The volume is 196 cubic yards

Step-by-step explanation:

Given

$Base\ Area = 7yd * 2yd$

$Height = 14yd$

Required

The volume

The volume is given as:

$Volume = Base\ Area * Height$

Where:

$Base\ Area = 7yd * 2yd$

$Height = 14yd$

So, the equation becomes

$Volume = 7yd * 2yd * 14yd$

$Volume = 196yd^3$

6 0

3 years ago

What are the coordinates of the intersection of the diagonals of parallelogram LMNO, with vertices L(0,-3), M(-2,1), N(1,5), O(3

ArbitrLikvidat [17]

ANSWER

$\boxed {( \frac{1}{2} , 1)}$

EXPLANATION

The given parallelogram has vertices,

L(0,-3), M(-2,1), N(1,5), O(3,1).

The diagonals of the parallelogram bisect each other.

From the diagram, we can see that, the diagonals have coordinates L(0,-3),N(1,5)

and

M(-2,1),O(3,1).

The midpoint of any of the diagonals will give us the coordinates of intersection of the diagonals.

Recall the midpoint formula,

$(\frac{x_1+x_2}{2}, \frac{y_2+y_1}{2})$

Using L(0,-3),N(1,5) gives,

$(\frac{0+1}{2}, \frac{ - 3+5}{2})$

$(\frac{1}{2}, \frac{ 2}{2})$

$(\frac{1}{2}, 1)$

Or we could have also used,M(-2,1),O(3,1) to get,

$(\frac{-2+3}{2}, \frac{ 1+1}{2})$

$(\frac{ 1}{2}, \frac{ 2}{2})$

$(\frac{ 1}{2}, 1)$

The correct answer is C

6 0

3 years ago

Make x the subject of the formula <br> a=bx+c

Rina8888 [55]

Answer:

(a-c)/b = x

Step-by-step explanation:

a = bx + c

subtract 'c' from each side to get:

(a-c) = bx

divide each side by 'b' to get:

(a-c)/b = x

3 0

2 years ago

What is the answer to the following algebra question: 2x + 7(4x + 3) =

svlad2 [7]

1) Distribute
2x + 28x + 21

2) Combine like terms
30x + 21

Since there are no more like terms, 30x and 21 cannot be combined. Therefore, the answer is 30x+ 21

6 0

3 years ago

Read 2 more answers