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2 years ago

mr. tuttle traveled 242 miles at the rate of 53 miles per hour how many hours did it take him to travel to his destination

Mathematics

2 answers:

svetoff [14.1K]2 years ago

8 0

Answer:

4.57 hours

Step-by-step explanation:

my brain

Artist 52 [7]2 years ago

5 0

Answer:

4.57 hours

Step-by-step explanation:

The equation $v = d/t$ is used.

since the time is to be found, 242 miles is divided by 53 miles/hr which gives 4.566 hours so if you round it up. It will be 4.57 hours or 4.6 hours.

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2 years ago

Given sin x =-4/5 and x is in quadrent 3, what is the value of tan x/2

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Answer:

We can write sin x in terms of tan x/2 using the formula:

⇒ sin x = (2 tan (x/2)) / (1 + tan2(x/2))

Therefore, using the above formula, we can find the values of tan x/2 by putting the value of sin x.

⇒ -4/5 = (2 tan (x/2)) / (1 + tan2(x/2))

Now, if we replace tan (x/2) by y, we get a quadratic equation:

⇒ 0.8y2 + 2y + 0.8 = 0

⇒ 2y2 + 5y + 2 = 0

By using the quadratic formula, we get y = -0.5, -2

Hence, the value of tan (x/2) = -0.5, -2

Now, we have two solutions of tan (x/2).

Now, let's check for the ideal solution using the formula tan x = (2 tan (x/2)) / (1 - tan2(x/2)).

For tan (x/2) = -0.5:

⇒ tan x = 2(-0.5) / 1 - (-0.5)2 = -4/3

It is also given that x lies in the third quadrant. We know that tan is positive in the third quadrant, and here we get tan x = -4/3 which is negative.

Hence, we can say that tan (x/2) = -0.5 is not a correct solution. Hence it is rejected.

Now let's check for tan (x/2) = -2.

⇒ tan x = 2(-2) / 1 - (-2)2 = 4/3

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2 years ago

Two integers a and b have a product of -48

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2 years ago

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2 years ago

Read 2 more answers

Can someone please write this as a single logarithm and show work please and thank you

Mazyrski [523]

Answer:

$log_b(w^3y^4)$

Step-by-step explanation:

To write the expression as a single logarithm, or condense it, use the properties of logarithms.

1) The power property of logarithms states that $log_ax^r = rlog_ax$ . In other words, the exponent within a logarithm can be brought out in front so it's multiplied by the logarithm. This means that the number in front of the logarithm can also be brought inside the logarithm as an exponent.

So, in this case, we can move the 3 and the 4 inside the logarithms as exponents. Apply this property as seen below:

$3log_bw+4log_by\\=log_bw^3+log_by^4$

2) The product property of logarithms states that $log_axy = log_ax+log_ay$ . In other words, the logarithm of a product is equal to the sum of the logarithms of its factors. So, in this case, write the expression as a single logarithm by taking the log (keep the same base) of the product of $w^3$ and $y^4$ . Apply the property as seen below and find the final answer.

$log_bw^3+log_by^4\\=log_b(w^3y^4)$

So, the answer is $log_b(w^3y^4)$ .

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2 years ago

mr. tuttle traveled 242 miles at the rate of 53 miles per hour how many hours did it take him to travel to his destination​

mr. tuttle traveled 242 miles at the rate of 53 miles per hour how many hours did it take him to travel to his destination