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4 years ago

Identify the point. y + 2 = 4/3(x - 7)

1 answer:

3 0

The point-slope form of a line is:

y-y1=m(x-x1), where m is the slope of the line and (x1,y1) is any point on the line.

In this case x1=7 and y1=-2 so the point used to create this equation is:

(7, -2)

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Find an identity for cos(4t)

s344n2d4d5 [400]

We must know that $\cos(2x)=2\cos^2(x)-1$ . So:

$\cos(4t)=\cos(2\cdot2t)\\\\
\cos(4t)=2\cos^2(2t)-1\\\\
\cos(4t)=2(2\cos^2(t)-1)^2-1\\\\
\cos(4t)=2(4\cos^4(t)-4\cos^2(t)+1)-1\\\\
\cos(4t)=8\cos^4(t)-8\cos^2(t)+2-1\\\\
\boxed{\cos(4t)=8\cos^4(t)-8\cos^2(t)+1}$

5 0

3 years ago

How do I solve this question?

zubka84 [21]

Answer:

$f(x) = \frac{108}{7} (\frac{7}{6})^x$ or $f(x) = 15.429(1.167)^x$

Step-by-step explanation:

No need for a calculator.

Assuming that the equation is in the form $y = ab^x$ , we can plug in points to get our equation. For ease, let's use (1,18) and (2,21). When plugging these points in, we get $18 = ab^1, 21 = ab^2$ . Now let's divide the equations to get rid of $a$ : $\frac{21 = ab^2}{18 = ab^1} = \frac{21}{18} = \frac{7}{6} = b$ . Now that we have $b$ , we can plug in the value we just calculated to solve for $a$ : $18 = a(\frac{7}{6} )^1$ , and solving for $a$ , we get $a = \frac{108}{7}$ .

So the $f(x) = (\frac{108}{7})(\frac{7}{6} )^x$

This equation in decimal form (rounded to the nearest thousandth) is $f(x) = 15.429(1.167)^x$ .

hope this helped! :)

4 0

2 years ago

Find the surface area of the prism.

Fed [463]

What do you mean I need to see the prism ??

5 0

3 years ago

You are going to pull two cards from a standard deck of 52 cards (without replacement) and record whether you got a face card (j

V125BC [204]

Answer:

The list of event (pulling a face card,F or a number card, N) that correctly makes up the sample space when a card is drawn without replacement is;

NF and

Step-by-step explanation:

Here we have the definition of a sample space as one which has all possible outcomes

Therefore, the list of events that correctly makes up the sample space of events when you pull out two cards we have either a face card F or a number card N, and the sample space is;

NF and

Where the likelihood of each outcome changes as the number of face cards and number card changes as each card is drawn without replacement.

8 0

4 years ago

The Social Security (FICA) wage base ,y, (in thousands of dollars) from 1983 to 1988 is given by the equation y=1.9x+34.1, where

Zinaida [17]

Answer:

Step-by-step explanation:

Given the equation of the Social Security (FICA) wage base y, (in thousands of dollars) from 1983 to 1988 expressed as y=1.9x+34.1

for us to calculate his wage base in 1995, we need to calculate the total number of years between 1983 to 1995 i.e 12 years

Substitute x = 12 into the expression above as shown;

y=1.9x+34.1

y = 1.9(12)+ 34.1

y = 22.8 + 34.1

y = 56.9

Since y is in thousand of dollars then

y = 56.9 * 1000

y = 56900

y = $56,900

Hence FICA wage base in 1995 is $56,900

7 0

3 years ago