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1 year ago

Please help meeee ………..

Mathematics

1 answer:

Len [333]1 year ago

6 0

Answer:

x = 5

Step-by-step explanation:

The equality of bases property says powers of the same base will be equal if and only if the powers are equal. This property is used to solve exponential equations.

<h3>Application</h3>

$\dfrac{(2)^x}{2}=16\qquad\text{copy of the original equation}\\\\2\times\dfrac{(2)^x}{2}=2\times16\qquad\text{multiply by 2 to isolate the base}\\\\2^x=32\qquad\text{simplify}\\\\2^x=2^5\qquad\text{rewrite the constant as a power of 2}\\\\\boxed{x=5}\qquad\text{use the Equality of Bases Property}$

Additional comment

Equating the exponents is fully equivalent to taking the logarithm of both sides of the equation, to that base.

$\log_2(2^x)=\log_2(2^5)\ \Longrightarrow\ x=5$

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dry cleaning bill is shown by y equals 1.50 x + 4.50 y is the total cost and x is the number of shirts graph this equation

Blizzard [7]

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

y------> the total cost

x------> the number of shirts

we know that

The linear equation is

$y=1.50x+4.50$ ------> equation of the line

To graph the line find the intercepts

The y-intercept is the value of y when the value of x is equal to zero

The x-intercept is the value of x when the value of y is equal to zero

Find the y-intercept

For x=0

$y=1.50(0)+4.50=4.50$

The y-intercept is the point (0,4.50)

Find the x-intercept

For y=0

$0=1.50x+4.50$

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2 years ago

An instructor gives a class a set of 10 problems and says that the nal exam will consist of a random selection of 5 of the probl

sweet-ann [11.9K]

Answer:

probability that he or she will answer at least 4 problems correctly = 0.5

Step-by-step explanation:

probability that he or she will answer at least 4 problems correctly is given as;

P (at least 4 correctly) = P (exactly 4 correctly) + P (all 5 correctly)

Since there are 10 problems. 4 is from the 7 problems chosen and 1 is from the 3 problems we can't figure out. Thus, P(exactly 4 correctly) = 7C4 x 3C1

Thus, P (at least 4 correctly) = [ (7C4) x (3C1) ] / (10C5)] + [(7C5)/(10C5)]

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= [ 105/252 ] + [ 21/252 ]

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2 years ago

Using the midpoint method (show your work), calculate the price elasticity of demand when the price of a barrel of gosum berries

Setler79 [48]

Answer:

0.18

Step-by-step explanation:

Given that:

P₁ = $10, P₂ = $20

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Using midpoint method:

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Percentage change in price =

$\frac{P_2-P_1}{(P_1+P_2)/2} *100\%=\frac{20-10}{(20+10)/2}*100\%= 66.67\%\\$

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