Ubmit

At 3:30 p.m., you have 15 megabytes of a movie. At 3:45 p.m., you have 75 megabytes. What is the download rate in megabytes per

snow_lady [41]

Because the time moved up by 15 minutes, we would already know that it would be (blank) megabytes per 15 minutes

75 megabytes - 15 megabytes = 60

this would mean 60 megabytes are downloaded per 15 minutes

simplified by 15, our answer would be 4 megabytes downloaded per minute

both of the answers above would be acceptable :)

7 0

2 years ago

JNZ~ KOA. Find the unknown measures

shepuryov [24]

Answer:

Step-by-step explanation:

If ΔJNZ and ΔKOA are similar, then corresponding sides are in proportion and corresponding angles are congruent.

We have the proportion:

$\dfrac{JN}{KO}=\dfrac{NZ}{OA}=\dfrac{ZJ}{AK}$

and equations:

$m\angle N=m\angle O=90^o\\m\angle Z=m\angle A=28^o\\m\angle J=m\angle K=62^o$

We have:

$JN=8\ in,\ NZ=15\ in,\ KO=4\ in,\ AK=x\ in,\ ZJ=y\ in$

For y we must use the Pythagorean theorem:

$ZJ^2=JN^2+NZ^2\\\\y^2=8^2+15^2\\\\y^2=64+225\\\\y^2=289\to y=\sqrt{289}\\\\y=17\ in$

$\dfrac{JN}{KO}=\dfrac{ZJ}{AK}\to\dfrac{8}{4}=\dfrac{17}{x}$ <em>cross multiply</em>

$8x=(4)(17)$

$8x=68$ <em>divide both sides by 8</em>

$x=8.5\ in$

4 0

2 years ago

Read 2 more answers

1.<br> What is the unit price of shampoo if a<br> 15-ounce bottle costs $2.79?

Rama09 [41]

Answer:

$2.79 per bottle
$0.186 per ounce

Step-by-step explanation:

When you talk about "unit price," you need to define the unit of interest. Unit prices on grocery store shelves don't always use the same unit, even for like items. Here it might be convenient to use any of the following as the "unit":

1 bottle
1 ounce
1 pint (16 ounces)
1 cup (8 ounces)

The "unit price" is computed as ...

unit price = (price for some number of units)/(the number of units)

The "number of units" may be larger, smaller, or equal to 1.

Then the price per cup (8 ounces) would be ...

unit price = (price for 15 oz)/(15/8 cups) = ($2.79)(8/15)

= $1.488 per cup

__

The price per ounce would be ...

unit price = ($2.79)/(15 oz) = $0.186/oz

__

We assume that the unit of interest is probably 1 ounce, but it could be something else. Your grader may expect the value to be rounded to the nearest cent, $0.19 per ounce.

8 0

3 years ago

2. Find the cosine function that is represented in the graph.

Diano4ka-milaya [45]

Answer:

$f(x) = cos(x - \frac{\pi }{4} ) -1$

Step-by-step explanation:

In this graph, we have the coordinate point ( $\frac{\pi }{4} , 0$ ). Without translations, cos(0) = 0, which means that the graph is shifted to the right by $\frac{\pi }{4}$ . We also know that the graph is shifted down by 1 because we have the point

( $\frac{5\pi }{4} , -2$ ), but accounting for the right shift, this point should really by ( $\pi , -2$ ). cos( $\pi$ ) = -1, but on the graph it is -2, meaning that it is shifted down by 1.