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3 years ago

Find the 9th term of the geometric sequence 5, -25, 125, ...

Mathematics

1 answer:

arlik [135]3 years ago

6 0

Answer:

Step-by-step explanation:

a = 5

r = -5

n = 9

t_9 = a r^(n - 1)

t_9 = (-1)^n*5 (-5) ^ 8

t_9 = (-1)^9 * 5 * (-5) ^8

t_9 = -1 ( 1953125)

t_9 = - 1953125

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Write the expression as a single fraction:<br> please help, giving brainliest :)

nignag [31]

Answer:

$\frac{4a^{2} + 15b}{10ab}$

Step-by-step explanation:

find the least common denominator for both fractions then combine them to find:

$\frac{4a^{2} + 15b}{10ab}$

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2 years ago

How many days are in 37 000 minutes?

vivado [14]

Answer:

the answer is 24.7 days

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3 years ago

A researcher plans to study the causal effect of a strong legal system on economy, using data from a random sample of U.S. count

kogti [31]

Answer:

Based on expert opinion the regression does not suffer from omitted variable bias

Step-by-step explanation:

<em>Based on expert opinion the regression does not suffer from omitted variable bias </em>because its indicators taking values of 1 and 0 where 1 would represent taking action by the legal system and 0 would represent not taking action by the legal system. as

The researcher plans to regress national income per capita based on the effect of the legal system

applying the formula for addressing omitted variable bias ( attached below )

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2 years ago

Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

$15x(x^2-x-6)=0$

Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .

$15x(x^2-3x+2x-6)=0$

$15x((x^2-3x)+(2x-6))=0$

$15x(x(x-3)+2(x-3))=0$

$15x(x-3)(x+2)=0$

Now, we will use zero product property to find the zeros of our given function.

$15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0$

$15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0$

$\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0$

$x=0\text{ (or) }x=3\text{ (or) }x=-2$

Therefore, the zeros of our given function are $x=-2,0,3$ .

7 0

3 years ago

Salomon tracks the weight of his new puppy every 2 weeks. She weighs 10 lbs the

Gekata [30.6K]

Equation (B) "y = 3x + 10" represents the growth of the puppy.

<h3>What are equations?</h3>

An equation is a mathematical formula where the "equal to" sign appears between two expressions having the same value.
Like 3x plus 5 equals 15, for example.
Different types of equations exist, such as linear, quadratic, cubic, and others.
The three primary forms of linear equations are the slope-intercept form, standard form, and point-slope form.

So, the equation that represents the situation:

The weight increase is: (10, 13, 16, 19, 22, 25)
We can observe that every time, there is a rise of 3lbs of weight.
Now, let 10 be a constant as the weight is starting from 10 lbs.
And 'x' be the number of time Salomon tracks the weight.

Then:

y = 3x + 10

For example, Salomon checks the weight for the 6th time then:

y = 3x + 10
y = 3(5) + 10
y = 15 + 10
y = 25

So, the equation is correct.

Therefore, equation (B) "y = 3x + 10" represents the growth of the puppy.

Know more about equations here:

brainly.com/question/28937794

#SPJ13

The correct question is given below:
Salomon tracks the weight of his new puppy every 2 weeks. She weighs 10 lbs the day he brings her home. His list for her first 6 "weighs" is as follows: (10, 13, 16, 19, 22, 25}

Which equation represents the growth of the puppy? Select one:

A. y = x + 3

B. y = 3x + 10

C. y = 10x + 3

D. y = x + 10

8 0

9 months ago