All categories

1 year ago

4a) What is the unit rate of the equation? (Tell how you came up with this answer.)

Mathematics

2 answers:

allsm [11]1 year ago

7 0

Unit rate of the table is 2.

<h3>Define unit rate.</h3>

The units of concentration and rate are always going to be molars per second. We now understand that molar per second is equal to k times molar in units. An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.

Given,

Choose two columns from the paired ordered columns. Using (2, 4) and (3,6)

The x and y values are 2 and 3, respectively, and the

You will now divide y by x, so

4/2 = 2

6/3 = 2

Unit rate of the table is 2.

To learn more about unit rate, visit:

brainly.com/question/11258929

#SPJ13

maw [93]1 year ago

7 0

Answer:

Unit rate is 2

Step-by-step explanation:

Pick two columns of the ordered pairs. Lets use (2,4) and (3,6)

The x values are 2 and 3 and the y values are 4 and 6

Now you’re going to divide y by x so

4/2 = 2

6/3 = 2

(Always choose two ordered pairs so you know that your answer is right)

You might be interested in

What is the value of the expression 3÷3/4

madam [21]

Answer:

1/4

Step-by-step explanation:

3 divided by 3 is 1, 1 divided by 1 is just a fraction or .25

4 0

3 years ago

What number is the opposite of -524

Georgia [21]

Answer: 524

Step-by-step explanation: The opposite number is the negative or positive number of the number given.

7 0

4 years ago

Read 2 more answers

A one-terabyte external hard drive is on sale at a 25% discount. If the original price was $347, what is the sale price?

Mkey [24]

Answer:

$ 260.25

Step-by-step explanation:

$ 347 multiply by 25% or 0.25

You get $ 86.75

Take $347 - $86.75 = $ 260.25

6 0

3 years ago

14) A circular clock has a circumference of 80.5 meters. What the measurement of the radius, in meters, of the clock? Round to t

Liula [17]

Answer: 12.8

Step-by-step explanation:

Divide 80.5 by pi then divide by 2

7 0

3 years ago

Two lighthouses are located 75 miles from one another on a north-south line. If a boat is spotted S 40o E from the northern ligh

yuradex [85]

Answer:

The northern lighthouse is approximately $24.4\; \rm mi$ closer to the boat than the southern lighthouse.

Step-by-step explanation:

Refer to the diagram attached. Denote the northern lighthouse as $\rm N$ , the southern lighthouse as $\rm S$ , and the boat as $\rm B$ . These three points would form a triangle.

It is given that two of the angles of this triangle measure $40^{\circ}$ (northern lighthouse, $\angle {\rm N}$ ) and $21^{\circ}$ (southern lighthouse $\angle {\rm S}$ ), respectively. The three angles of any triangle add up to $180^{\circ}$ . Therefore, the third angle of this triangle would measure $180^{\circ} - (40^{\circ} + 21^{\circ}) = 119^{\circ}$ (boat $\angle {\rm B}$ .)

It is also given that the length between the two lighthouses (length of $\rm NS$ ) is $75\; \rm mi$ .

By the law of sine, the length of a side in a given triangle would be proportional to the angle opposite to that side. For example, in the triangle in this question, $\angle {\rm B}$ is opposite to side $\rm NS$ , whereas $\angle {\rm S}$ is opposite to side ${\rm NB}$ . Therefore:

$\begin{aligned} \frac{\text{length of NS}}{\sin(\angle {\rm B})} = \frac{\text{length of NB}}{\sin(\angle {\rm S})} \end{aligned}$ .

Substitute in the known measurements:

$\begin{aligned} \frac{75\; \rm mi}{\sin(119^{\circ})} = \frac{\text{length of NB}}{\sin(21^{\circ})} \end{aligned}$ .

Rearrange and solve for the length of $\rm NB$ :

$\begin{aligned} & \text{length of NB} \\ =\; & (75\; \rm mi) \times \frac{\sin(21^{\circ})}{\sin(119^{\circ})} \\ \approx\; & 30.73\; \rm mi\end{aligned}$ .

(Round to at least one more decimal places than the values in the choices.)

Likewise, with $\angle {\rm N}$ is opposite to side ${\rm SB}$ , the following would also hold:

$\begin{aligned} \frac{\text{length of NS}}{\sin(\angle {\rm B})} = \frac{\text{length of SB}}{\sin(\angle {\rm N})} \end{aligned}$ .

$\begin{aligned} \frac{75\; \rm mi}{\sin(119^{\circ})} = \frac{\text{length of SB}}{\sin(40^{\circ})} \end{aligned}$ .

$\begin{aligned} & \text{length of SB} \\ =\; & (75\; \rm mi) \times \frac{\sin(40^{\circ})}{\sin(119^{\circ})} \\ \approx\; & 55.12\; \rm mi\end{aligned}$ .

In other words, the distance between the northern lighthouse and the boat is approximately $30.73\; \rm mi$ , whereas the distance between the southern lighthouse and the boat is approximately $55.12\; \rm mi$ . Hence the conclusion.

4 0

3 years ago