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3 years ago

5

Solve the proportion: 35/8 = 105/x

1 answer:

dangina [55]3 years ago

6 0

Answer:

x=24

Step-by-step explanation:

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The sum of three even consecutive integers if the first integer is y.

user100 [1]

Answer:

y + 1 + y + 2 + y + 3 =3y+6

Step-by-step explanation:

study hard:)

6 0

3 years ago

In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

Dmitry_Shevchenko [17]

Answer:

$a_{10} = \frac{10}{65536}$

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

$a_{3} - a_{2} = a_{2} - a_{1}$

We have that:

$a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}$

$a_{3} - a_{2} = a_{2} - a_{1}$

$\frac{5}{2} - 10 = 10 - 40$

$\frac{-15}{2} \neq -30$

This is not an arithmetic sequence.

This sequence is geometric if:

$\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}$

$\frac{\frac{5}[2}}{10} = \frac{10}{40}$

$\frac{5}{20} = \frac{1}{4}$

$\frac{1}{4} = \frac{1}{4}$

This is a geometric sequence, in which:

The first term is 40, so $a_{1} = 40$

The common ratio is $\frac{1}{4}$ , so $r = \frac{1}{4}$ .

We have that:

$a_{n} = a_{1}*r^{n-1}$

The 10th term is $a_{10}$ . So:

$a_{10} = a_{1}*r^{9}$

$a_{10} = 40*(\frac{1}{4})^{9}$

$a_{10} = \frac{40}{262144}$

Simplifying by 4, we have:

$a_{10} = \frac{10}{65536}$

3 0

3 years ago

Solve for the two possible values of X:

lbvjy [14]

X1 = 1.71429
X2 = 3.4

7 0

3 years ago

What monomial multiplied by - 3x ^ 3 * y equals 18x ^ 9 * y ^ 4 Explain how you were able to determine the coefficient and the e

Archy [21]

Answer:

-6x^6y^5

Step-by-step explanation:

you have to find p such that

(-3 $x^{3}$ y)(p) = 18 $x^{9}y^{4}$

So just divide to find p

p = $\frac{18x^{9}y^{4} }{-3x^{3}y}$ = -6 $x^{6}y^{5}$

7 0

3 years ago

. Write the equation of a line in the graph below.

Dmitry_Shevchenko [17]

Answer:

D

Step-by-step explanation:

The y intercept is (0,2) so you can eliminate A and C because they have -2 and the slope is negative so you can eliminate B because it has a slope of +3 so you are left with D.

4 0

3 years ago

Read 2 more answers