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3 years ago

What is the nth term rule of the linear sequence below? 6,13, 20, 27, 34, ...

Mathematics

1 answer:

Setler [38]3 years ago

7 0

Answer:7n-1

Step-by-step explanation:

Nth term=6+7(n-1)

Nth=6-7+7n

Nth term=-1+7n

Nth term=7n-1

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1. Jay said, “The amount of money in my checking account is less than $50.00, but greater than $40.00.” Which statements about t

Pepsi [2]

I don't know the options but I guess it would be something like this:
40,000 < x < 50,000

4 0

3 years ago

What is the division property of exponents?

zavuch27 [327]

<h3>Answer:</h3>

$\dfrac{a^b}{a^c}=a^{(b-c)}$

<h3>Step-by-step explanation:</h3>

An exponent represents repeated multiplication. For example, ...

... x^3 = x·x·x

... x^2 = x·x

If we divide these, the x's in the denominator cancel an equal number in the numerator:

... (x·x·x)/(x·x) = x

If we represent the repeated multiplication using exponents, we can represent the cancellation by subtraction:

... (x^3)/(x^2) = x^(3-2) = x^1 = x

Once we have this idea in mind that division can be done by subtracting denominator exponents, we can use it regardless of the magnitude or sign of the exponents involved.

7 0

3 years ago

Eve got home from school at 2:20 P.M. And played video games for 17 minutes. Then she helped clean the kitchen for 1 hour and 1

Bezzdna [24]

Answer:

4 :45 pm

Step-by-step explanation:

2 : 20 + 17 minutes = 2:37

2:37 + 1hr 1 minute = 3 : 38

3 : 38 + 1 hr 7 = 4 :45 pm

5 0

3 years ago

A parabola can be drawn given a focus of (-5, -4)(−5,−4) and a directrix of y=-6y=−6. Write the equation of the parabola in any

lord [1]

Answer:

$\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

Step-by-step explanation:

Given:

Focus = (-5,-4)
Directrix = -6

To find:

Parabola Equation

Locus of Parabola (Upward/Downward)

$\displaystyle \large{\sqrt{(x-a)^2+(y-b)^2} = |y-c|}$

Where:

(a,b) = focus
c = directrix

Hence:

$\displaystyle \large{\sqrt{(x+5)^2+(y+4)^2}=|y+6|}$

Cancel square root by squaring both sides as we get:

$\displaystyle \large{(x+5)^2+(y+4)^2=(y+6)^2}$

Solve for y-term:

$\displaystyle \large{(x+5)^2=(y+6)^2-(y+4)^2}\\\displaystyle \large{x^2+10x+25=y^2+12y+36-y^2-8y-16}\\\displaystyle \large{x^2+10x+25=4y+20}\\\displaystyle \large{x^2+10x+5=4y}\\\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

4 0

2 years ago

Sabre uses the LIFO method of valuing inventory. On October 31, they sold 175 shredders. Find the cost of goods sold. Enter your

Tamiku [17]

Answer: The cost of goods sold= 5881.75

Step-by-step explanation:

Cost of available goods = 75x32.97 + 75x33.78 + 150x35.02= $10259.25

Units available= 150 + 75 + 75= 300

Sold units= 175

Ending inventory= 300-175=125

Value of ending inventory= 125x35.02= $4377.5

Cost of goods sold= cost of available goods – value of ending inventory

Cost of goods sold= 10259.25 – 4377.5= $5881.75

7 0

3 years ago

Read 2 more answers