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2 years ago

1.An item is priced at $14.67. If the sales tax is 7%, what does the item cost including sales tax?

1 answer:

5 0

1. Firstly, you've got to find 1% and multiply this by 7. You do this by dividing $14.67 by 100. 14.67/100= 0.1467. 0.1467x7= 1.0269 (1.03 rounded)
You then add these together, and this gives you $15.70

2. For this, you've got to add the percentage decrease (10/.01) to 1, and then multiply $45.26, and this gives you $49.786 (essentially $50 rounded)

3. You've got to divide the smaller number (43.20) by the larger number (180), and this gives you 0.24, and you've then got to multiply this by 100, giving you 24%. Therefore, he received a 76% discount.

4. The best thing to do here is to divide the larger number (300) by the smaller number (5), and this gives you 60, therefore, the average speed of the train is 60 miles per hour.

Hope this helps :)

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Distance between the points (2,10) and (-4,2) in the xy-plane

telo118 [61]

It's 4/3 because of the distance formula

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2 years ago

Find an equation of the line described below. Write the equation is slope-intercept from ( solved for y), when possible. Through

Sladkaya [172]

Answer:

The equation of the line that is passing through the point (5,4) and is parallel to x-axis would be $y=4$

Step-by-step explanation:

Given that the line passes through the point (5,4).

As the line is parallel to the x-axis, the slope of the line would be zero.

And we have point (5,4) from which the line is passing.

So, $x_1=5\ ,\ y_1=4\ and\ m=0$

The equation of the line passing through point $(x_1,y_1)$ is

$y-y_1=m(x-x_1)\\y-4=0(x-5)\\y-4=0\\y=4$

So, the equation of the line that is passing through the point (5,4) and is parallel to x-axis would be $y=4$

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3 years ago

Write the equation of the trigonometric graph.

prisoha [69]

Answer:

$f(x)= \sin(6x)+3$

Step-by-step explanation:

The parent function of this graph is: y = sin(x)

The sine function is periodic, meaning it repeats forever.

Standard form of a sine function:

$f(x) = \sf A \sin (B(x + C)) + D$

A = amplitude (height from the mid-line to the peak)
2π/B = period (horizontal distance between consecutive peaks)
C = phase shift (horizontal shift - positive is to the left)
D = vertical shift

The parent function y = sin(x) has the following:

Amplitude (A) = 1
Period = 2π
Phase shift (C) = 0
Vertical shift (D) = 0
Mid-line: y = 0

From inspection of the given graph:

Amplitude (A) = 1
$\sf Period=\dfrac{\pi}{12}-\dfrac{-\pi}{4}=\dfrac{\pi}{3}$
Phase shift (C) = 0
Vertical shift (D) = +3 (as mid-line is y = 3)

$\sf If\:Period=\dfrac{\pi}{3} \implies \dfrac{2 \pi}{B}=\dfrac{\pi}{3}\implies B=6$

Substituting the values into the standard form:

$\implies f(x) =1 \sin (6(x + 0)) + 3$

$\implies f(x) = \sin (6x) + 3$

Therefore, the equation of the given trigonometric graph is:

$f(x)= \sin(6x)+3$

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1 year ago

Need help solving this problem

natka813 [3]

Answer:

Part 1: $\frac{11-x}{5}$ or $\frac{11}{5}-\frac{x}{5}$

Part 2: $\frac{9}{5}$

Step-by-step explanation:

To start things off, you must put everything on the opposite side of y so that you only have the y variable left.

In this case, put x onto the other side, making it negative since it's flipped, so you get $5y=11-x$ (since the x is negative you're using subtraction from 11).