This is for pre-calc can someone pls help

You start driving west for 3 miles, turn right, and drive north for another 2 miles. At the end of driving, what is your straigh

Sauron [17]

You can use pythagorean theorem. 3 miles would be one leg and 2 miles would be the other. (We’ll just call these two a and b in the formula. Letter c, also known as your hypotenuse, will be this ‘straight line distance’.) In order to find this you’ll use: a^2 + b^2 = c^2
Then you’ll find the square root of your sum to get the answer.

Answer: 3^2 + 2^2 = ?
9 + 4 = 13
the square root of thirteen will be about
3.61

4 0

3 years ago

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If the basalt at the top of the ancient valley below Vulcan's Throne yields a radiometric date (K-Ar) of 15,000 years, and the l

zepelin [54]

Answer:

$1.69\times 10^3$ feet/million year

Step-by-step explanation:

We are given that

Elevation of top of basalt in valley =4100 feet

Elevation of bottom of basalt in valley =2100 feet

Age of top of basalt in valley=15000 years

Age of bottom of basalt in valley=1.2 million years= $1.2\times 10^6 years=1200000 years$

We have to find the rate of basalt filling in the valley in feet per million yeas

Rate of basalt filling in the valley= $\frac{Elevation\;of\;top\;of\;basalt\;in\;valley-elevation\;of\;bottom\;of\;basalt\;in\;valley}{age\;of\;bottom\;of\;basalt\;in\;valley-age\;of\;top\;of\;basalt\;in\;valley}$

Rate of basalt filling in the valley= $\frac{4100-2100}{1200000-15000}=\frac{2000}{1185000}=1.69\times 10^{-3} feet/year$

Rate of basalt filling in the valley= $1.69\times 10^{-3}\times 10^{6}=1.69\times 10^3$ feet/million year

6 0

4 years ago

Abdul's gas tank is 1/5 full. After he buys 7 gallons of gas, it is 7/10 full. How many gallons can Abdul's tank hold?

Korolek [52]

Answer: 14 gallons

Step-by-step explanation:

Let's call the total gallons Abdul's tank can hold x.

Then, based on the information given in the problem, you can write the following expression:

$\frac{1}{5}x+7=\frac{7}{10}x$

Therefore, when you solve for x, you obtain the following result:

$\frac{1}{5}x+7=\frac{7}{10}x\\\\\frac{1}{5}x-\frac{7}{10}x=-7\\\\-\frac{1}{2}x=-7\\\\-x=(-7)(2)\\x=14$

6 0

3 years ago

Which statement must be true? a b c d

lozanna [386]

ANSWER

$\boxed {m \ne0}$

EXPLANATION

The given function is

$f(x) = mx + b$

We need to find the inverse of this function,

Let

$y= mx + b$

We interchange x an y to obtain,

$x = my + b$

We solve for y now to obtain,

$x - b = my$

We divide through by m to get,

$\frac{x - b}{m} = y$

Hence the inverse function is ,

${f}^{ - 1} (x) = \frac{x - b}{m}$

For this inverse to exist, the denominator must not be equal to zero,

Thus

$m \ne0$

The correct answer is A.

8 0

3 years ago

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Item 19 You pay $40 each month for satellite TV, plus $3.50 for every movie you purchase. Write and solve an equation to find th

Marianna [84]

Let x be the number of movies purchased. If each movie you purchase costs $3.50 dollars, this means that the total cost of x movies in one month is $3.50x
In addition, you have to pay $40 for satellite TV. We can now find an equation to find the total cost per month:
40 + 3.50x

Now, by hypothesis, you paid $57.50 during a month as a total bill.
Which means that 40 + 3.50x = 57.50
We need to find the number of movies purchased during that month, or, in mathematical words, we need to solve for x.

40 + 3.50x = 57.50

First, let's put the variables apart and the numbers apart by subtraction 40 from each side, so we get:
40 - 40 + 3.50x = 57.50 - 40
3.50x = 17.50

Now divide both sides by 3.50
(3.50x)/(3.50) = 17.50 / 3.50
x = 5

So, during that month, you purchased 5 movies.

Hope this helps! :)

8 0

4 years ago