Using the following sequence, decide if it is arithmetic or geometric, and what the common difference or common ratio is.
10, 13, 16, 19, ...

9514 1404 393

Answer:

  C.  It is increasing and concave up because y′>0 and y′′>0.

Step-by-step explanation:

The curve C is a hyperbola in the 2nd and 4th quadrants. As such, it has no maximum or minimum. It is increasing at an increasing rate at the point (-2, 2), so matches the description of choice C.

Answer:

18

Step-by-step explanation:

[tex]{82 { }^{2} } - 80 {}^{2} = 324 \\ \sqrt{324 } = 18[/tex]

Answer:x=15

Step-by-step explanation:

Answer:

-1/4x + 3

Step-by-step explanation:

Answer:

y=-1/4x + 3

Step-by-step explanation:

i just got it right

Answer: A

Step-by-step explanation:

The answer is choice A since it has the rise and run of 2/3.

Answer:

1. 6,000

2. 7,000-4,000=3,000

3. 0

4. 15

5, 6/8 7/8

6. greater than

7. equal to

8. 520,685

9. the 5

10a. 3210

10b. 2346

--------------------

1. 7,000

2. all of them

3. two

4. 3

5. 2

6. b

7a. 3 b. 2

8. 14/30

9. 3/8

10. N=175

Step-by-step explanation:

Answer:

nice hand writing

Step-by-step explanation:

Answer:

99.713 years

Step-by-step explanation:

In year 2103, the population will reach 240,000

Here,

The population of butterflies in West Fremont is 60,000.

And, growing at a rate of 1.4% each year.

How to find interest?

Use compound interest formula [tex]A = P (1 + \frac{r}{100} )^n[/tex] to find interest.

Like in financial interest we have, [tex]A = P (1 + \frac{r}{100} )^n[/tex]

We have;

[tex]240000 = 60000 (1 + \frac{r}{100} )^n\\(1 + \frac{r}{100} )^n = \frac{24}{6} \\(1 + \frac{r}{100} )^n =4\\[/tex]

[tex]n ln (\frac{101.4}{100}) = ln (4)\\ n = \frac{ln 4}{ln 101.4 - ln 100}\\ n = 99.713[/tex]

Hence,

Year = 2004 + 99

So, In year 2103, the population will reach 240,000

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The roots of the parabola is where the x-intercepts are so the answer is x=-1 and x= 5

The  equation of the transformed function, y = ∛x+5 - 2

A parent graph is the graph of a relatively simple function. By transforming the function in various ways, the graph can be translated, reflected, or otherwise changed.

This graph represents a transformation of the parent cube root function.

Here, Parent cube root function is

y= ∛x

and the value of h  and k is equal to 0

Now, as from the graph we can see that the graph changes direction at (-5,-2) which shows the graph is shifted 5 units to left and 2 unit down

Hence, the equation of the transformed function, y = ∛x+5 - 2

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Answer:

Step-by-step explanation:

7 x 20

4 x 17

Answer:

12x+4

Step-by-step explanation:

Answer:

7 1/2

Step-by-step explanation:

convert mixed numbers to fractions to get 1/2 and 15/1

then, multiply the two to get 15/2

then simplify for the answer 7 1/2

answer 7.5

Step-by-step explanation:

convert the fraction to a decimal by dividing the numerator by the denominator

Answer:

70%

Step-by-step explanation:

Calculating Percent Increase

Example 1: Jackson’s intern job at a software company paid $15.42 an hour. He graduated from college and accepted a full-time position from the same company for a larger wage of $35.52 an hour. What is Jackson’s percent increase in pay?

Solution: Using the handy-dandy Percent Change Calculator, dropping the two amounts into it quickly returns a percent pay increase of 130.35%. Here’s how the calculator found the percent increase.  We assign the older value to variable A and the newer value to variable B. Units, in this case the dollars, are always stripped or canceled out in percent change problems since we’re looking for increases or decreases in percentage. So in the first part of the equation we take 35.52 and subtract 15.42 from it and get 20.10. Then we divide that amount by the original older value and get 1.3035. Now we must convert that number to a percent by multiplying it by 100. That gives us a percent increase answer of 130.35%. Formula Completed: [(35.52-15.42)/15.42) x 100] = 130.35%

Answer:

7 cups of coffee

Step-by-step explanation:

Given

[tex]n = 20 - 2.75c[/tex]

Required

Find and describe the zero of the function

To do this, we simply equate n to 0

i.e.

[tex]n = 0[/tex]

Substitute 0 for n in [tex]n = 20 - 2.75c[/tex]

[tex]0 = 20 - 2.75c[/tex]

Add 2.75c to both sides

[tex]0 + 2.75c = 20 - 2.75c + 2.75c[/tex]

[tex]0 + 2.75c = 20[/tex]

[tex]2.75c = 20[/tex]

Divide both sides by 2.75

[tex]\frac{2.75c}{2.75} = \frac{20}{2.75}[/tex]

[tex]c = \frac{20}{2.75}[/tex]

[tex]c = 7.273[/tex]

[tex]c = 7[/tex] --- Approximated

This implies that the maximum cups of coffees that can be bought is 7

Answer:

3,000

Step-by-step explanation:

one inch is equal to 600 miles, 5 × 600 = 3,000

Answer:

3,000

Step-by-step explanation:

600 times 5= 3,000

I hope this helps :)

Answer:

the answer is x=-9

Step-by-step explanation:

The value of a solution of the rational equation that must discard and nullify the context of the equation is -9

Word problems in mathematics require crucial understanding because they are used to solve a real-life scenario. It entails the gathering of all information necessary to arrive at the solution.

From the information given:

where x represents the number of minutes

The equation representing the above information is given as:

[tex]\mathbf{\mathbf{\dfrac{1}{x}+ \dfrac{1}{x+15}= \dfrac{1}{18}}}[/tex]

The objective of this question is to determine the value in which it will discard and nullify the context of the above equation.

In that case, the number must be a number in which when substituted into the above equation will result in having the same value on the left-hand side and the right-hand side.

From the given option, the number that results in that is -9

[tex]\mathbf{\mathbf{\dfrac{1}{-9}+ \dfrac{1}{-9+15}= \dfrac{1}{18}}}[/tex]

[tex]\mathbf{\mathbf{0.05555555556= 0.05555555556}}[/tex]

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Answer:

30 degrees

Step-by-step explanation:

It's a pateelogram so oppate angles are equal so

x = 30 degrees

Hope this helps :)

The measure of x is 30 degree.

The fundamental characteristics listed below make it simple to recognise parallel lines.

As, we know that the Property of Parallel line are:

Corresponding angle are Equal.

Alternate interior Angles are Congruent.

Vertical angles are Congruent.

As, per the figure we can see that

AB || CD

So, by Alternate Interior Angle

<DCB = <CBA

x = 30

Thus, the measure of x is 30 degree.

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Answer:

A. Graph attached

B. It's a function. One input has only one output, it passed the vertical line test.

Step-by-step explanation:

a₀ = 3  a₁ = 6 = 3 x 2¹   a₂ = 6 x 2 = 3 x 2²  ..... aₙ = 3 x 2ⁿ

answer graph attached

A list of ordered pairs may or may not represent a function.

(a) The ordered pair

Let x represent the number of folds, and y represent the thickness.

So, the first ordered pair is:

[tex]\mathbf{(x,y) = (0,3)}[/tex]

When x increases by 1, the value of y gets doubled.

So, the six ordered pairs are:

[tex]\mathbf{(x,y) = \{(0,3),(1,6),(2,12),(3,24),(4,48),(5,96)\}}[/tex]

(b) Is the ordered pair, a function

In (a), we have:

Every x value has a different corresponding y value.

This means that the ordered pair is a function.

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Answer:

1/3

Step-by-step explanation:

because it was right

Answer: C. 180 times

Step-by-step explanation:

From the 60 trials, the percentage of times Laura picked a green marble was:

= 100% - Percentage of times blue and red were picked

= 100% - 25% - 15%

= 60%

If these results were repeated with 300 trials, the number of times Laura would be expected to pick green would be:

= 60% * 300

= 180 times

Answer:

x = 7 , y = 4

Step-by-step explanation:

x = 7 , y = 4

Step-by-step explanation:

Prime Factorization of 12

2 12

2 6

3 3

1

Prime factors of 12 are 2,3. Prime factorization of 12 in exponential form is:

12 = 22×31

Prime Factorization of 27

3 27

3 9

3 3

1

Prime factors of 27 are 3. Prime factorization of 27 in exponential form is:

27 = 33

Now multiplying the highest exponent prime factors to calculate the LCM of 12 and 27.

LCM(12,27) = 22×33

LCM(12,27) = 108

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Least Common Multiple of 12 and 27 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 12 and 27, than apply into the LCM equation.

GCF(12,27) = 3

LCM(12,27) = ( 12 × 27) / 3

LCM(12,27) = 324 / 3

LCM(12,27) = 108

Least Common Multiple of 12 and 27 by Listing Multiples

Multiples of 12

12, 24, 36, 48, 60, 72, 84, 96,108

Multiples of 27

27, 54, 81,108

Find the smallest number that is on all of the lists. We have it in bold above.

∴ Least Common Multiple of 12 and 27 is 108

Properties of LCM 12 and 27

(i) The LCM of 27 and 12 is associative

LCM of 12 and 27 = LCM of 27 and 12

Frequently Asked Questions on LCM of 12 and 27

1. What is the LCM of 12 and 27?

Answer: LCM of 12 and 27 is 108.

2. What are the Factors of 12?

Answer: Factors of 12 are 1, 2, 3, 4, 6, 12. There are 6 integers that are factors of 12. The greatest factor of 12 is 12.

3. What are the Factors of 27?

Answer: Factors of 27 are 1, 3, 9, 27. There are 4 integers that are factors of 27. The greatest factor of 27 is 27.

4. How to Find the LCM of 12 and 27?

Answer:

Least Common Multiple of 12 and 27 = 108

Step 1: Find the prime factorization of 12

12 = 2 x 2 x 3

Step 2: Find the prime factorization of 27

27 = 3 x 3 x 3

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 108 = 2 x 2 x 3 x 3 x 3

Step 4: Therefore, the least common multiple of 12 and 27 is 108.

The LCM (least common multiple) of 12 and 27 using prime factorizations​ would be 108.

Used the concept of least common multiple that states,

The Least common multiple of two or more numbers is the smallest number that is a multiple of two or more numbers.

Given that the two numbers are 12 and 27.

Hence, the prime factorizations​ of 12 and 27 are,

12 = 2 × 2 × 3

27 = 3 × 3 × 3

So, the LCM of 12 and 27 is,

2 × 2 × 3 × 3 × 3

= 108

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Answer:

10

Step-by-step explanation:

Each trailer of each truck can cart away (10)(15)(6.5) = 975 cubic feet of debris.

To cart 45 tons of debris i.e. 200 x 45 = 9000 cubic feet of debris away, we need

9000/975 = 9.23 trucks.

Since you need at least 9.23 trucks, and you cannot have a decimal number of trucks, 10 trucks are needed to cart away 45 tons of debris from a demolition site.