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3 years ago

7

2(4x+3)>-10 or -5x-15>5

1 answer:

bezimeni [28]3 years ago

8 0

I don’t really understand but this are the answer for both the first one: x>-2 second: x<-2

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Given that 16 ounces equals 1 pound, how many ounces are in 6.7 pounds?

avanturin [10]

16 × 6.7 = 107.2
your answer is 107.2

3 0

3 years ago

Jessica invests $250 each quarter in an ordinary annuity with a 5% interest rate compounded quarterly. Determine the accumulat

madam [21]

Answer:

Step-by-step explanation:

Usimg formula for calculating compound interest.

A = P(1+r/n)^nt

P is the principal =$250

r is the rate = 5%

t is the time = 25years

n = 1/4(compounded quarterly)

Substituting to get the amount A.

A = 250(1+5/25)^25/4

A = 250(1+0.2)^6.25

A = 250(1.2)^6.25

A = 250(3.125)

A = $781.31

Hence the accumulated amount in Jessica's annuity after 25 years is $781.31

4 0

4 years ago

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (84, 13) lies

tia_tia [17]

Answer:

$\sin \theta = 0.153$ , $\cos \theta = 0.988$ , $\tan \theta = 0.155$ , $\cot \theta = 6.462$ , $\sec \theta = 1.012$ , $\csc \theta = 6.538$

Step-by-step explanation:

Let be the point $(x,y)$ , the six trigonometric functions of the angle are represented by following formulas:

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

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

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

$\cot \theta = \frac{1}{\tan \theta} = \frac{x}{y}$ (4)

$\sec \theta = \frac{1}{\cos \theta} = \frac{\sqrt{x^{2}+y^{2}}}{x}$ (5)

$\csc \theta = \frac{1}{\sin \theta} = \frac{\sqrt{x^{2}+y^{2}}}{y}$ (6)

If we know that $x = 84$ and $y = 13$ , then the values of the six trigonometric functions is:

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

$\sin \theta = 0.153$

$\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}$

$\cos \theta = 0.988$

$\tan \theta = \frac{y}{x}$

$\tan \theta = 0.155$

$\cot \theta = \frac{x}{y}$

$\cot \theta = 6.462$

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

$\sec \theta = 1.012$

$\csc \theta = \frac{\sqrt{x^{2}+y^{2}}}{y}$

$\csc \theta = 6.538$

4 0

3 years ago

Which represents the inverse of the function f(x) = 4x?

vazorg [7]

Option D: $h(x)=\frac{1}{4}x$ is the inverse of the function f(x) = 4x

Explanation:

Given that the function is $f(x)=4x$

We need to determine the inverse of the function.

<u>Inverse of the function h(x):</u>

The inverse of the function can be determined by interchanging the variables x and y and then solving the function for y.

Thus, the function is written as,

$y=4x$

Interchanging the variables x and y, we have;

$x=4y$

Dividing both sides by 4, we get;

$\frac{1}{4}x=y$

Thus, the inverse of the function is $h(x)=\frac{1}{4}x$

Hence, Option D is the correct answer.

4 0

4 years ago

Which of the following are examples of Structuring?

Reil [10]

Answer:all of them

Step-by-step explanation:

I just took the test

7 0

3 years ago

Read 2 more answers