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3 years ago

8

A department store is having a 55% off sale on all sport coats. If you have a coupon for an additional 10% off of any item, how

much will a $230.00 sport coat cost? $ (Hint: First find the sale price of the sport coat and then take the coupon discount off of the sale price.)

1 answer:

vlabodo [156]3 years ago

8 0

<span>93.15 would be the answer</span>

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If sine ⁡theta equals negative 8/17 and the terminal side of theta lies in quadrant IV, find cosine ⁡ theta .

Lelechka [254]

$\sin^2\theta+\cos^2\theta=1\implies \cos\theta=\pm\sqrt{1-\sin^2\theta}$

Since $\sin\theta=-\dfrac8{17}$ , it follows that

$\cos\theta=\pm\sqrt{1-\dfrac{64}{289}}=\pm\sqrt{\dfrac{225}{289}}=\pm\dfrac{15}{17}$

where the sign depends on the location of the terminal side of the angle. Since the terminal side lies in the fourth quadrant, that means the cosine of the angle is positive, so

$\cos\theta=\dfrac{15}{17}$

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3 years ago

onsider the equation 0.5 times e4z =13 solve the equation for z. express the solution as a logarithm in base e

olga_2 [115]

Answer:

$z=\frac{ln(26)}{4}$

Step-by-step explanation:

The given equation is:

$0.5\,e^{4z}=13$

so, we first isolate the exponential form that contains the unknown "z" in the exponent, by dividing both sides by 0.5:

$0.5\,e^{4z}=13\\e^{4z}=\frac{13}{0.5}\\e^{4z}=26$

Now we bring the exponent down by applying the natural log function on both sides, and then solve for "z":

$e^{4z}=26\\ln(e^{4z})=ln(26)\\4\,z=ln(26)\\z=\frac{ln(26)}{4}$

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3 years ago

It takes you 5 hours to complete a 375-kilometer trip. What was your average speed on this trip?

morpeh [17]

Answer:

75

Step-by-step explanation:

V=S/T(the formula)

V= 375/5

V=75

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3 years ago

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Rachel runs 4 miles in 23 minutes. How many miles does she run per minute?

KIM [24]

Answer:

To calculate how many total miles Rachel runs per minute, setting up a unit rate, that is a rate with a denominator of 1, would be helpful.

Step-by-step explanation:

Use the current problem to determine a rate.

23 minutes/4 miles

Now, set up a unit rate.

1 minute/<em>x </em>miles = 23 minutes/4 miles

To solve for <em>x, </em>we can use simple division strategies. We divide 23 by 23 to receive 1 minute. Likewise, dividing the current milage by 23 would wield the correct unit rate. To do this, divide 4 by 23.

4/23 = 0.1739130434782609

Finally, simplify your answer to receive 0.17.

Therefore, Rachel runs ~0.17 miles per minute. (Note that this answer is only a rounded answer of her actual milage per minute)

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2 years ago

Hi, can I please have help with this question and how to do it?

Sati [7]

Do L times W times H or length width and height hope this helps

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