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3 years ago

1. It took Jed of an hour to complete his math homework on Friday. of an hour

Mathematics

1 answer:

Kobotan [32]3 years ago

6 0

<em>Correct Question:</em>

<em>It took Jed 5/3 of an hour to complete his math homework on Friday, 3/4 of an hour on Saturday, and 5/6 of an hour on Sunday. How many hours did he take to complete his homework altogether?</em>

Answer:

$Total = 3\frac{1}{4}\ hours$

Step-by-step explanation:

Given

$Friday= \frac{5}{3}$

$Saturday = \frac{3}{4}$

$Sunday = \frac{5}{6}$

Required

Determine the total time spent

Total time is calculated as follows:

$Total = Friday + Saturday + Sunday$

$Total = \frac{5}{3} + \frac{3}{4} + \frac{5}{6}$

$Total = \frac{20 + 9 + 10}{12}$

$Total = \frac{39}{12}$

Divide numerator and denominator by 3

$Total = \frac{13}{4}$

$Total = 3\frac{1}{4}\ hours$

You might be interested in

. Choose the correct means and standard deviations for the Sincere and Insincere conditions. Make sure to round to two decimal p

tensa zangetsu [6.8K]

Answer:

C. The rudely disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the politely disagrees condition has a mean of 3.82 and standard deviation of 0.97

Step-by-step explanation:

The given data is

x` Std. Dev

R. disagrees 4.16 0.854

P. disagrees 3.82 0.967

From this data we see that the R. disagrees has a mean of 4.16 and standard deviation of 0.854

while

the P. disagrees has a mean of 3.82 and standard deviation of 0.967.

Same figures are given only in option C because

Rounding 0.854 gives 0.85

Rounding 0.967 gives 0.97

So only option C is the best choice.

C. The R. Disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the P. Disagrees condition has a mean of 3.82 and standard deviation of 0.97

8 0

3 years ago

Please help I’m really confused and need to learn this

egoroff_w [7]

Answer:

Step-by-step explanation:

For #2, another way to word this question is: For which of the following trig functions is π/2 a solution? Well, go through them one by one. If you plug π/2 into sinθ, you get 1. This means that when x is π/2, y is 1. Try and visualize that. When y is 1, that means you moved off the x-axis; so y = sinθ is NOT one of those functions that cross the x-axis at θ = π/2. Go through the rest of them. For y = cos(π/2), you get 0. At θ = π/2, this function crosses the x-axis. For y = tanθ, your result is undefined, so that doesn't work. Keep going through them. You should see that y = secθ is undefined, y = cscθ returns 1, and y = cotθ returns 0. If you have a calculator that can handle trig functions, just plug π/2 into every one of them and check off the ones that give you zero. Graphically, if the y-value is 0, the function is touching/crossing the x-axis.

Think about what y = secθ really means. It's actually y = 1/(cosθ), right? So what makes a fraction undefined? A fraction is undefined when the denominator is 0 because in mathematics, you can't divide by zero. Calculators give you an error. So the real question here is, when is cosθ = 0? Again, you can use a calculator here, but a unit circle would be more helpful. cosθ = π/2, like we just saw in the previous problem, and it's zero again 180 degrees later at 3π/2. Now read the answer choices.

All multiples of pi? Well, our answer looked like π/2, so you can skip the first two choices and move to the last two. All multiples of π/2? Imagine there's a constant next to π, say Cπ/2 where C is any number. If we put an even number there, 2 will cut that number in half. Imagine C = 4. Then Cπ/2 = 2π. Our two answers were π/2 and 3π/2, so an even multiple won't work for us; we need the odd multiples only. In our answers, π/2 and 3π/2, C = 1 and C = 3. Those are both odd numbers, and that's how you know you only need the "odd multiples of π/2" for question 3.

6 0

3 years ago

12345 [234]

Answer: $28.35\ minutes$

Step-by-step explanation:

Let be "x" the time in minutes a 150-pound person must walk at 4 mph to use at least 190 calories.

The amount of calories that a 150-pound person uses in 1 minute when walking at a speed of 4 mph is:

$Calories\ per\ minute=6.7$

Therefore, knowing this, we can write the following proportion:

$\frac{1}{6.7}=\frac{x}{190}$

Finally, we must solve for "x" in order to find its value.

Multiplying both sides of the equation by 190, we get this result:

$(190)(\frac{1}{6.7})=(\frac{x}{190})(190)\\\\x=28.35$

3 0

4 years ago

For which function is f(x) equal to f^1(x) ( answer choices in picture )

Sonja [21]

Answer:

C. $f(x)=\frac{x+1}{x-1}$

Step-by-step explanation:

Let's find the inverse of each of the given options.

Option A:

$f(x)=\frac{x+6}{x-6}\\y=\frac{x+6}{x-6}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+6}{y-6}$

Rewrite in terms of 'y'. This gives,

$x(y-6)=y+6\\xy-6x=y+6\\xy-y=6x+6\\y=\frac{6x+6}{x-1}$

The given function $y=\frac{6x+6}{x-1}\ne y=\frac{x+6}{x-6}$

So, option A is incorrect.

Option B:

$f(x)=\frac{x+2}{x-2}\\y=\frac{x+2}{x-2}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+2}{y-2}$

Rewrite in terms of 'y'. This gives,

$x(y-2)=y+2\\xy-2x=y+2\\xy-y=2x+2\\y=\frac{2x+2}{x-1}$

The given function $y=\frac{2x+2}{x-1}\ne y=\frac{x+2}{x-2}$

So, option B is incorrect.

Option C:

$f(x)=\frac{x+1}{x-1}\\y=\frac{x+1}{x-1}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+1}{y-1}$

Rewrite in terms of 'y'. This gives,

$x(y-1)=y+1\\xy-x=y+1\\xy-y=x+1\\y=\frac{x+1}{x-1}$

The given function $y=\frac{x+1}{x-1}\ equals\ y=\frac{x+1}{x-1}$

So, option C is correct.

Option D:

$f(x)=\frac{x+5}{x-5}\\y=\frac{x+5}{x-5}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+5}{y-5}$

Rewrite in terms of 'y'. This gives,

$x(y-5)=y+5\\xy-5x=y+5\\xy-y=5x+5\\y=\frac{5x+5}{x-1}$

The given function $y=\frac{5x+5}{x-1}\ne y=\frac{x+6}{x-6}$

So, option D is incorrect.

Therefore, only option C is correct.

7 0

3 years ago

How do I write a percent as a fraction in simplest form and as a decimal

AlekseyPX

Take 37% as an example, just add a decimal point to the left 2 times. Decimal = .37. Fraction would be 37/100, because you cannot simplify.

4 0

4 years ago

Read 2 more answers