Find the percent of increase from 40 gallons to 89 gallons. Round to the nearest tenth of a percent if necessary.

percent of increase?

Answer:

This is a geometric sequence because any term divided by the previous term is a constant called the common ratio. r=36/18=18/9=2 A geometric sequence is expressed as

\begin{gathered}a_n=ar^{n-1},\text{ where a=initial term, r=common ratio, n=term number}\\ \\ a_n=9(2^{n-1})\\ \\ a_6=9(2^5)\\ \\ a_6=288\end{gathered}an=arn−1, where a=initial term, r=common ratio, n=term numberan=9(2n−1)a6=9(25)a6=288

Answer:

A. [tex]Log_p N = b \ and \ b^p = N[/tex]

Step-by-step explanation:

A. The given options are;

[tex]Log_p N = b \ and \ b^p = N[/tex]

For [tex]Log_p N = b[/tex] we have;

[tex]p^b = N[/tex]

However;

[tex]b^p = N[/tex]

Where, p ≠ b

[tex]p^b \neq b^p[/tex]

Therefore;

N ≠ N for the given pair and the pair are therefore, not equivalent

B. x = √y and [tex]x = y^{1/2}[/tex]

We note that

x = √y = [tex]y^{1/2}[/tex]

We have;

x = [tex]y^{1/2}[/tex], by transitive property

Therefore, the pair, x = √y and [tex]x = y^{1/2}[/tex] are equivalent

C. [tex]Log_b N = p \ and \ b^p = N[/tex]

From [tex]Log_b N = p[/tex], we have;

[tex]b^p = N[/tex]

Therefore, [tex]Log_b N = p \ and \ b^p = N[/tex] are equivalent pairs as [tex]b^p = N[/tex] can be obtained from [tex]Log_b N = p[/tex]

D. ㏑x = y and x = [tex]e^y[/tex]

[tex]ln \ x = ln_e \ x = y[/tex], therefore, by rules of logarithm, we have;

x = [tex]e^y[/tex]

Therefore, ㏑x = y and x = [tex]e^y[/tex] are equivalent pairs, as x = [tex]e^y[/tex] can be obtained from ln x.

Therefore;

The option which are not equivalent pair is option is [tex]Log_p N = b \ and \ b^p = N[/tex]

Answer:

[tex]20d + 2 = 0 \\ 20d \: = - 2 \\ = d = \frac{ - 2}{20} \\d = \frac{ - 1}{10} [/tex]

Answer:

135

Step-by-step explanation:

so we need to find the volume of the rectangle

V= L x W x H

V = [tex]2\frac{1}{4}[/tex] x [tex]\frac{3}{4}[/tex] x [tex]1\frac{1}{4}[/tex] = [tex]\frac{135}{64}[/tex]

so now we need to find the volume of the cubes

V = a^3

1/4^3 = 1/64

so:

135/64 ÷ 1/64 = 135

SO135 CUBES :)

Answer:principal. Amount of money originally borrowed in a loan. interest. Amount of money the borrower must pay for the use of someone else's money.

Step-by-step explanation:

Answer: The answer is principal

Step-by-step explanation:

It's in the definition of the word principal which means the amount f money originally deposited, borrowed, or loaned.

Step-by-step explanation:

your mom gives you 200 dollars to start your candy business. you earn 2 cents for every piece of candy you sell. how much money, b will you have if you've sold x candy

or

the product of .02 and x plus 200 equals b.

Answer:

b is equal to 200 plus the product of 0.02 and x.

Answer:

A. (4,2)

Step-by-step explanation:

In coordinates, the x-value appears first then the y-value. This means coordinates are set up like, (x,y). So, to solve find the coordinates whose values match one pair of values on the table. Option A has x=4 and y=2. In the last row of the table, you can see the same values with x=4 and y=2. Therefore, A is correct.

Answer:803.84

Step-by-step explanation:

3.14 x (16^2) = 803.84.  

16^2 is 256 so multiply that by 3.14

Answer:

Minimum < Q1 < Median < Q3< Maximum

Step-by-step explanation:

Given

Minimum, Median, Maximum, Q3 and Q1

See attachment for complete question

Required

Order from least to greatest

In a dataset, the range is:

[tex]Range = Maximum - Minimum[/tex]

This implies that, the minimum is the least and the maximum is the highest of the dataset

So, we have:

Minimum <         <              <           < Maximum

The median is the middle item; So, the above becomes

Minimum <         < Median <           < Maximum

In a dataset, the IQR is:

[tex]IQR = Q_3 - Q_1[/tex]

This implies that:

[tex]Q_3 > Q_1[/tex]

So, we have:

Minimum < Q1 < Median < Q3< Maximum

Answer: [tex]6[/tex] x [tex]10^{4}[/tex]

9.375 x [tex]10^{-23[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the dot plot of start of school year,

Maximum value of the miles run = 10

Minimum value of the miles run = 5

Range of the data set = 10 - 5

                                    = 5 miles

From the dot plot of End of school year,

Maximum value of the miles run = 10

Minimum value of the miles run = 6

Range of the data set = 10 - 6

                                    = 4 miles

The range at the start of the year was 5 miles and the range at the end of the year was 4 miles.

Answer:

Your answer is the first option, Lorenzo's icing will be darker!

Step-by-step explanation:

If they both added the same amount of yellow dye, than blue will determine how dark their icing is. Since Mariana added less blue, her dye will be lighter!

The Answer Is H=3.5

have am amazing day <3

Answer:

[tex]h = \frac{7}{2} [/tex]

Step-by-step explanation:

1) Divide both sides by -4.

[tex]h = \frac{ - 14}{ - 4} [/tex]

2) Two negative makes a positive.

[tex]h = \frac{14}{4} [/tex]

3) Simplify 14/4 to 7/2.

[tex]h = \frac{7}{2} [/tex]

Therefor, the answer is 7/2.

Answer:

k = 7/6

Step-by-step explanation:

Answer:

g

Step-by-step explanation:

Answer:

$16.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

Outlier

Answer:

Step-by-step explanation:

Perimeter= all sides added together

so in this case

3x+1 = 2x + 2x + x-1 + x+2 + x-1 + x + 2

now you may be wondering why i put two 2x's, two 2+x, and two x-1  , the far left side is 2x and has 2 lines and so does the bottom side which has 2 lines so theyre congruent ( the same case for the 2+x and x-1 )  so you need to account for all sides.

so lets simplify this huge equation!

3x+1 = 4x + 1x - 1 + 1x + 2 + 1x - 1 + 1x + 2

3x+1 = 8x - 1 + 2 - 1 + 2

3x + 1 = 8x + 2

-3x on both sides

1 = 5x + 2

-2 on each side

-1 = 5x

x = -1/5

Answer:

15wy

Step-by-step explanation:

if toh take 19 and divide it by 16 that's how I got my answer on edunity

Answer:

Top consumer that receives its energy from other consumers

Step-by-step explanation:

It eats other fish like the bass and sunfish

Answer:

Area  =  40mm

Example:

The below-solved example problem may be useful to understand how the values are being used in the mathematical formulas to find the trapezoid area.

Example Problem :

Find the area of a trapezoid having the bottom length a = 15 cm, top length b = 12 & height h = 9 cm?

Solution :

The given values

bottom length a = 15 cm

top length b = 12 cm

height h = 10 cm

Step by step calculation

formula to find area = ((a + b)/2) h

substitute the values

= ((15 + 12)/2) x 9

= 121.5 cm2

Answer:

h= -128t

Step-by-step explanation:

- 16t+128t

-256t + 128

Answer:hope this helps

Step-by-step explanation:

(x^2 - 2) (5 x^3 - 3)

(x (5 x^2 - 10) - 3) x^2 + 6

Polynomial discriminant:

Δ = -1772976600

Derivative:

d/dx(5 x^5 - 3 x^2 - 10 x^3 + 6) = x (25 x^3 - 30 x - 6)

Indefinite integral:

integral(6 - 3 x^2 - 10 x^3 + 5 x^5) dx = (5 x^6)/6 - (5 x^4)/2 - x^3 + 6 x + constant

Answer:

x = 88

Step-by-step explanation:

Opposite angles in a quadrilateral inscribed in a circle are supplementary

Supplementary meaning that the sum of the two angle measures is 180

The opposite angle of "x" is ∠B which has a measure of 92°

Thus, 92 + x = 180

180 - 92 = 88

Hence, x = 88  

Step-by-step explanation:

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