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liberstina [14]
3 years ago
15

Explain exponential equations. DO NOT COPY + PASTE!! I will check

Mathematics
1 answer:
jeka57 [31]3 years ago
7 0

Answer:

Step-by-step explanation:

exponential equation has the same base on each side, the exponents must be equal. This also applies when the exponents are algebraic expressions. Therefore, we can solve many exponential equations by using the rules of exponents to rewrite each side as a power with the same base. Then we use the fact that exponential functions are one-to-one to set the exponents equal to one another and solve for the unknown.

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Arthur is putting a tile floor in this room. The tiles are 1 foot on each side. Half of the tiles will be dark brown tiles that
TEA [102]
Hey. Let me help you on this one.

As the question says, the area of the floor surface is 17 feet by 9 feet. Each floor tile is 1 foot in length, and 1 foot in width. We know that the area of one tile is 1^{2}ft squared if we substitute numbers into the square area formula and solve it.

S=a*b
S=1*1
S=1

We understand that each tile costs a different amount of money, so that's why we need to set up an equation we can later solve. For this; however, we will need to know the complete area of the floor since this is going to be our total.

In order for us to solve for the total area, we have to use the same area formula we used a step ago.

Length of the floor is 17 feet, while the width is 8 feet. Let's multiply them together.

S=a*b
S=17*8
S=136

Awesome! We know the complete area of the floor as the whole, which is 136 feet squared, and area of the individual tile is 1 foot squared.

If we divide 136 by 1, we will determine the amount of square tiles within the floor. 136 divided by 1 is 136, meaning that there are 136 tiles in the floor.

Now, let's form the solution that will show both prices and amounts of the tiles. Our first initial step is to find out how much one half of 136 is. We can do it by finding 50% of 136.

0.5*136=68

One half of 136 is 68, meaning that 68 tiles will cost 58 cents each, and that other 68 tiles will cost 49 cents each. Let's form the solution which we can then solve.

(68*58)+(68*49)
3944+3332=7276

Answer: 7276 cents, or $72.76 is the price of the floor.


7 0
3 years ago
Read 2 more answers
In a certain? city, the record rainfall during an 12 hour period is 11 2/3 inches how much rain fell per hour on average
soldi70 [24.7K]

namely, how many times does 12 go into 11⅔.

let's firstly convert the mixed fraction to improper fraction, and then divide.


\bf \stackrel{mixed}{11\frac{2}{3}}\implies \cfrac{11\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{35}{3}} \\\\\\ \cfrac{35}{3}\div 12\implies \cfrac{35}{3}\div \cfrac{12}{1}\implies \cfrac{35}{3}\cdot \cfrac{1}{12}\implies \cfrac{35}{36}

7 0
3 years ago
Select the margin of error that corresponds to the sample mean that corresponds to each population: A population mean of 0.45, a
Alika [10]

Answer:

C) 0.45

Step-by-step explanation:

Given that a population mean is 0.45, standard deviation is 0.001 and margin of error stands at 0.5% we have the following

0.45 + 0.001 = 0.451

Population mean with standard deviation is 0.451.

0.451 * 0.5% = 0.448745

We now reduce the number to two decimals and get the final marigin of error

0.45 as result

5 0
4 years ago
What is the inverse of p(m) = m/5 + 8
zvonat [6]
The inverse is just switching y and x your answer should be . p^-1 (m)=5m-40

4 0
2 years ago
PLEASE HELPPPPPP!!!!!!Solve this system of linear equations separate the x-and y-values with a comma
GenaCL600 [577]

Answer:

x=-6,\\y=6

Step-by-step explanation:

Rewrite the system of equations as:

\begin{cases}-13x+2y=90\\-6x+2y=48\end{cases}

Subtract the second equation from the first to isolate x:

-13x+2y-(-6x+2y)=42,\\-7x=42, \\\fbox{$x=-6$}

Plug in x=-6 into any of the equations above and solve for y:

-6(-6)+2y=48,\\2y=12,\\\fbox{$y=6$}

Verify that the solution pair (-6, 6) works \checkmark

Therefore, the solution to this system of equations is:

x=-6,\\y=6

8 0
3 years ago
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