Mike is working on solving the exponential equation 37^x = 12; however, he is not quite sure where to start. Using complete sentences, describe to Mike how to solve this equation.

Hint: Use the change of base formula: log base b of y equals log y over log b.

The percentage markup the store made before selling those speakers

are 136.33%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A store bought a set of speakers for $82.86 and sold them for

$195.82.

So, The amount of profit is $(195.82 - 82.86).

= $112.96.

Now, The markup percentage can be obtained by the concept of the percentage change.

Now to obtain percentage change we'll divide the net amount change by the original amount and multiply it by 100% which is,

= (112.96/82.86)×100%.

= 136.33%.

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If the sum of 21 and a difference of 6 then the numbers are 27/2 and 15/2.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let, The two numbers be a and b.

Therefore, (a + b) = 21 and (a - b) = 6.

Adding these two equations, The variable 'b' will cancel out and we'll have

2a = 27.

a = 27/2.

And, 27/2 + b = 21.

b = 21 - 27/2.

b = (42 - 27)/2.

b = 15/2.

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Answer:

Hi

The answers is

W=36 ÷ 4

Answer:

0.08, 8 hundreths, 8 x 1/100

Step-by-step explanation:

The first digit before the decimal is a unit.

The first digit after the decimal point is called a tenth

The second digit after the decimal point is called hundreths

The third digit after the decimal point is called a thousandths

The 8 is the second digit after the decimal point.

Therefore the answer is eight hundreths or represented by the decimal form of 0.08

It is also 8 x 1/100 because if we multiply this we get 0.08

Answer:

reflected over x axis

Step-by-step explanation:

Answer:

x (greater than or equal to) -53 *The last bubbled option*

Step-by-step explanation:

So, on  solving the provided question, we can say that  to form a inequality - x * y > 8

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

here to form a inequality-

let x = goals by each player

y = no. of players

x * y > 8

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Answer:

  -2

Step-by-step explanation:

You want to know the dilation scale factor that gives triangle A'B'C from triangle ABC.

We notice that point A' is 4 units down and 2 units right of C, whereas A is 2 units up and 1 unit left of C. The ratio of these distances is the scale factor.

If up and right are positive, then ...

  k = (A' -C)/(A -C) = (2, -4)/(-1, 2) = -2

The dilation scale factor is -2.

Answer: 102.4

Given ratio 5:8

Let's assume the answer to be x

5÷8 should be equal to 64÷x

∴ x= (64×8) ÷ 5

=102.4

The number that has the same ratio to 64 as 5:8 is gotten as; 40

How to Calculate Ratio?

We have the ratio 5:8.

Now, we want to find the number that has the same ratio to 64 as 5:8. Thus, we will use proportion to get this;

x/64 = 5/8

Cross multiply to get;

x = 64 * 5/8

x = 40

Answer:

A) y + 1 = -3 ( x - 7 )

Step-by-step explanation:

I used the Desmos website. Hope this helps.

Answer:

A

Step-by-step explanation:

3x + y = 4

y = -3x + 4

y + 1 = -3(x - 7)

Answer:

A

Step-by-step explanation:

There are 16 red balloons to 48 total. The ratio is 16:48. Simplified, it’s 1:3

The 4 quadrants are called as Quadrant I, Quadrant II, Quadrant III and Quadrant IV.

The term quadrant in math is also known as the coordinate grid, cartesian coordinate system, or Cartesian plane, are basically constructed by taking a vertical axis, or the y-axis and setting it against a horizontal axis, or the x-axis and it creates a grid with four quadrants.

According to the cartesian system, here the coordinate plane is divided into four equal parts by the intersection of the x-axis and the y-axis such as the vertical number line.

Here the four quadrants are written as,

Quadrant I that is placed upon the upper right quadrant is the first quadrant, denoted as Quadrant I and the value on the x-axis and the y-axis both have positive numbers.

Next one is Quadrant II which is placed on the upper left quadrant is the second quadrant, denoted as Quadrant II and the value of the x-axis has negative numbers and the y-axis has positive numbers.

Third one is Quadrant III placed on the bottom left quadrant is the third quadrant, denoted as Quadrant III and the value of both the x-axis and the y-axis have negative numbers.

Final one is Quadrant IV which is placed on the bottom right quadrant is the fourth quadrant, denoted as Quadrant IV and here the value of the x-axis has positive numbers and the y-axis has negative numbers.

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Answer:

You would multiply across and then simplify ur answer. So you would do 6*5 which is 30 and then do 11*8 which is 88.  30/88 reduced is 15/44

Hope this helped  

[tex]\dfrac{6}{11} \times\dfrac{5}{8}[/tex]

When multiplying fractions, you have to multiply the numerator by numerator and the denominator by denominator.

[tex]\dfrac{6\time}{11} \times\dfrac{5}{8}[/tex]

[tex]\dfrac{6\times5}{11\times8}[/tex]

[tex]=\dfrac{30}{88}[/tex]

Reduce to simplest form:

[tex]\dfrac{30\div2}{88\div2}[/tex]

[tex]=\fbox{$\dfrac{15}{44} $}[/tex]

The length of the other leg is 65 cm

From the question, we have the following parameters that can be used in our computation:

Leg 1 = a

Leg 2 = 72 cm

Hypotenuse = 97 cm

The length of the hypotenuse of the right triangle can then be calculated using

Hypotenuse² = Leg 1² + Leg 2²

Substitute the known values in the above equation, so, we have the following representation

97² = a² + 72²

So, we have

a² = 97² - 72²

Evaluate

a² = 4225

Take the square roots

a = 65

Hence, the other leg is 65 cm

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Answer:

C.

Step-by-step explanation:

The line that is a perpendicular bisector of the segment connecting the two points.

Answer:

C. The line that is a perpendicular bisector of the segment connecting the two points

Step-by-step explanation:

I took the test and got it right.

Answer:

yes

Step-by-step explanation:

maybe

The absolute value of the test t-score is less than the absolute value of the critical t-score, there is not enough evidence to say that the population mean has changed.

population mean assumed to be 2925

sample mean = 2515

standard deviation of sample = 585.

sample size = 15

t-score is indicated because the standard deviation is taken from the sample rather than from the population.

t-score = (x - m) / s

x is the raw score

m is the raw mean of the population

s = standard deviation of sample/sqrt (sample size) = 585/sqrt(15) = 151.6217 rounded to 4 decimal places.

degrees of freedom = 15 minus 1 = 14.

t-score = (2515 - 2925)/151.6217 = -2.7123 rounded to 4 decimal places.

you need to know the confidence level.

at a 95% confidence level, the two-tailed critical t-score with 14 degrees of freedom = plus or minus 1.7613 rounded to 4 decimal places.

since the absolute value of the test t-score is less than the absolute value of the critical t-score, there is not enough evidence to say that the population mean has changed.

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Answer:

The answer is choice c

Step-by-step explanation:

A transformation that alters the size of a figure is called a dilation (similarity transformation). It needs a scale factor of k and a central point. Depending on the value of k, the dilatation is either an enlargement or a decrease. The dilation is an enlargement if |k|>1.

If two figures have the same shape but different sizes, they are said to be comparable. A stiff motion combined with a rescaling constitutes a similarity transformation. In other words, a similarity transformation can change shape without changing location or size.

A dilation is a transformation that yields a different-sized picture with the same general shape as the original. Enlargements are dilations that result in a bigger picture. Reduction is the name for a dilatation that shrinks the picture. The initial figure is stretched or contracted by a dilatation.

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Answer:

Step-by-step explanation:

Multiply both sides by - 21

-21 x x/-21 + 15 = 13 x -21

x + 15 = - 273

x = - 273 - 15

x = - 288

Answer:

4 or [tex]\sqrt{250}[/tex]

Step-by-step explanation:

I used M a t h w a y. it's really helpful. Good luck.

Answer:

Step-by-step explanation:

To solve this equation, you will need to manipulate the equation in order to isolate the variable x on one side of the equation. Here is one way you could solve this equation:

Begin by distributing the 2 on the left side of the equation: 2(-2x+1) = -46 + 2x.

Next, distribute the -5 on the right side of the equation: 2(-2x+1) = -23 - 5x.

Combine like terms on the right side of the equation: 2(-2x+1) = -5x - 23.

Combine like terms on the left side of the equation: -4x + 2 = -5x - 23.

Add 4x to both sides of the equation to isolate the variable on one side: 2 = -x - 23.

Add 23 to both sides of the equation: 25 = -x.

Finally, divide both sides of the equation by -1 to solve for x: x = -25.

Therefore, the solution to the equation is x = -25.

Answer:

x=3

Step-by-step explanation:

2(−2x+1)−5x+2= -23

Distribute

-4x+2-5x+2=-23

Combine like terms

-9x+4=-23

Subtract both sides by 4

-9x=-27

Divide both sides by -9

x=3

Hope this helps :)

Answer:

1. 19(25x2)

Step-by-step explanation:

19 x 25 = 475

475 x 2 = 950

Answer:

If `r` and `R` and the respective radii of the smaller and the bigger semi-circles then the area of the shaded portion in the given figure is: (FIGURE) `pir^2\ s qdotu n i t s` (b) `piR^2-pir^2\ s qdotu n i t s` (c) `piR^2+pir^2\ s qdotu n i t s` (d) `piR^2\ s qdotu n i t s`

Step-by-step explanation:

Answer:C

Step-by-step explanation:Because I did this

The volume of water in the fish tank for the given time value is 0, 5, 7, 9, 11, and 13 liters.

The equation V = 3 + 2t expresses a time function, which represents the volume of fish tank as a function of time. It means that after t time, volume V is given by the equation. In the given table. t = 0,1,2,3,4,5. Hence, the volume can be determined by substituting the value of t in the equation.

When t = 0

V = 3 + 2(0) = 3 liter

When t = 1

V = 3 + 2(1) = 5 liter

When t = 2

V = 3 + 2(2) = 7 liter

When t = 3

V = 3 + 2(3) = 9 liter

When t = 4

V = 3 + 2(4) = 11 liter

When t = 5

V = 3 + 2(5) = 13 liter

Note: The question is incomplete. The complete question probably is: A 40-liter fish tank is being filled with a faucet at a constant rate of 2 liters per minute. Before the faucet is turned on, the fish tank has a volume of 3 liters. The volume of water V in the fish tank is a function of time t. Time is measured in minutes and volume of water is measured in liters. Use the equation V = 3 + 2t to complete the function table.

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