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Allushta [10]
4 years ago
5

An airplane makes a 2,748-mile flight in 6 hours. What is the airplane's average speed in miles per hour?

Mathematics
1 answer:
vlabodo [156]4 years ago
3 0
The answer is 458 miles per hour
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How do you determine the base when solving for x by converting to a log?
worty [1.4K]

$x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}

Solution:

Given expression:

$(1.0125)^{4 x}=\frac{3}{2}

To solve the expression:

$(1.0125)^{4 x}=\frac{3}{2}

<em>If f(x) = g(x) then ln(f(x)) = ln(g(x)).</em>

Using the above condition, we can write

$\ln \left(1.0125^{4 x}\right)=\ln \left(\frac{3}{2}\right)

Apply log rule: \log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)

$4 x \ln (1.0125)=\ln \left(\frac{3}{2}\right)

Divide both side of the equation by 4 \ln (1.0125).

$\frac{4 x \ln (1.0125)}{4 \ln (1.0125)}=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}

$x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}

The answer is x=\frac{\ln \left(\frac{3}{2}\right)}{4 \ln (1.0125)}.

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3 years ago
At Open Skate Night, admission is $3.75 with a membership card and $5.00 without a membership card. Skate rentals are $3.00.
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tabitha bought one dozen socks for $9.00. how much would 18 socks have to sell for in order to be a better deal? explain using u
sasho [114]

Step-by-step explanation:

Find the unit rate of each pair of socks for the dozen. 12/9=1.3333

so then multiply 18 by 1.33 to get 23.92. So you could sell the 18 pair pack of socks for anything less than $23.92

Hope this helps ^-^

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Answer:

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What is the value of x +when x=3?​
sesenic [268]

Answer:

when x = 3, x would equal 3 since x can be substituted as 3, aka chancge any xes into 3 if they give you yhat info

Step-by-step explanation:

6 0
3 years ago
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