What statement is true about f(x)=-2/3|x+4|-6?

If Janice works overtime, she receives an hourly rate of 1½ times her regular hourly rate of $14.00 an hour. What is her overtim

ankoles [38]

$21.00 per hour. $14.00 * 1.5 = $21.00

6 0

2 years ago

Ana drinks chocolate milk out of glasses that each hold 1/8 of a leader. she has 7/10 of a liter of chocolate milk in her refrig

PIT_PIT [208]

Amount of chocolate milk Ana drinks = $\frac{1}{8}$ liter

Total amount of chocolate milk in refrigerator = $\frac{7}{10}$ liter

We have to determine the total number of glasses she will pour $\frac{1}{8}$ liter of milk from $\frac{7}{10}$ liter of milk.

Total number of glasses will be determined by dividing the total amount of milk by the amount of milk required for one glass

Total number of glasses = $\frac{7}{10} \div \frac{1}{8}$

= $\frac{7}{10} \times 8$

= $\frac{56}{10}$

= 5.6 glasses

So, 5.6 glasses will be poured from the given amount of chocolate milk.

3 0

2 years ago

Let (-7, 2) be a point on the terminal side of 0.

nekit [7.7K]

By applying the definitions of trigonometric functions, the exact values of the sine, secant and tangent of the point on the terminal side are $\sin \theta = \frac{2}{\sqrt{53}}$ , $\sec \theta = -\frac{\sqrt{53}}{7}$ and $\tan \theta = -\frac{2}{7}$ .

<h3>How to determine the exact values</h3>

In this question we need to find the exact values of three trigonometric functions associated with the terminal side of an angle. The following definitions are used:

Sine

$\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}$ (1)

Secant

$\sec \theta = \frac{\sqrt{x^{2}+y^{2}}}{x}$ (2)

Tangent

$\tan \theta = \frac{y}{x}$ (3)

If we know that x = - 7 and y = 2, then the exact values of the three trigonometric functions:

Sine

$\sin \theta = \frac{2}{\sqrt{53}}$

Secant

$\sec \theta = -\frac{\sqrt{53}}{7}$

Tangent

$\tan \theta = -\frac{2}{7}$

By applying the definitions of trigonometric functions, the exact values of the sine, secant and tangent of the point on the terminal side are $\sin \theta = \frac{2}{\sqrt{53}}$ , $\sec \theta = -\frac{\sqrt{53}}{7}$ and $\tan \theta = -\frac{2}{7}$ .

<h3>Remark</h3>

The statement reports typing errors, correct form is shown below:

Let (x, y) = (- 7, 2) be a point on the terminal side of θ. Find the exact value of sin θ, sec θ and tan θ.

To learn more on trigonometric functions: brainly.com/question/6904750

#SPJ1

5 0

1 year ago

Find the measure of the missing angles. 83°C b

harina [27]

Answer:

$m\angle b=97^{\circ},\\m\angle c= 97^{\circ}$

Step-by-step explanation:

Vertical angles are angles on opposites sides of an intersection of two lines. Therefore, $\angle c$ and $\angle b$ are vertical angles. Similarly, the angle opposite to the angle marked 83 degrees is also equal to 83 degrees. Vertical angles are always equal.

Since there are 360 degrees in a circle, we have the following equation:

$\angle c+\angle b+83+83=360,\\2\angle c+166=360,\\2\angle c=194,\\\angle c=\frac{194}{2}=\boxed{97^{\circ}}$

Since $\angle c$ and $\angle b$ are vertical angles and vertical angles are also equal, the measure of angle $b$ is also $\boxed{97^{\circ}}$

3 0

3 years ago

$75 to $25 show your work

Vilka [71]

Answer:

decrease

Step-by-step explanation:

the percent change measures FROM the first value. A change from 50 to 75 is a change of 50% (25 is the difference between the two numbers, and 25 is 50% of 50). A change from 75 to 50 is a change of -33.3% (25 is still the difference between the two. 25 is 33.3% of 75

4 0

2 years ago