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Phoenix [80]
3 years ago
5

Question 11: Given f (x), what is f (-4.5)?

xFormula1" title="f(x) = (x - 1) " alt="f(x) = (x - 1) " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
5 0

Answer:

-5.5

Step-by-step explanation:

f(x) = (x-1). f(-4.5) = (-4.5-1). f(-4.5) = -5.5

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Number 1 has a picture
MA_775_DIABLO [31]
Question 1

cos(C) = adj/hyp
cos(C) = BC/AC
cos(C) = 15/17

Answer: Choice C) 15/17

=============================================

Question 2

sin(E) = opp/hyp
sin(E) = FD/DE
sin(E) = 24/25

So angle E is the answer

=============================================

Question 3

AC is the adjacent side to the given angle A = 33 degrees
AB = 14 is the hypotenuse

cos(angle) = adjacent/hypotenuse
cos(33) = x/14
14*cos(33) = x
x = 14*cos(33)
x = 11.741
x = 11.7

Answer: 11.7

=============================================

Question 4

x = length of board

cos(angle) = adj/hyp
cos(55) = 6/x
x*cos(55) = 6
x = 6/cos(55)
x = 10.46068
x = 10.5

Answer: 10.5

=============================================

Question 5

112 is the adjacent side to the given angle 62 degrees
x = height of building, which is the opposite leg

tan(angle) = opp/adj
tan(62) = x/112
112*tan(62) = x
x = 112*tan(62)
x = 210.641364
x = 210.6

Answer: 210.6
3 0
3 years ago
How long does it take for an investment to quadruple in value if it is invested at 11% compounded
defon

Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:

100 * (1+1.07)x = 400

Then we will take 400 and divide it by 100 getting:

1.07X = 4

Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X

Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.

2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula

where:

P (principal) is equal to hypothetical $100

E (e) is a mathematical constant, which is approximately 2.718

R (rate) is the interest rate, in our case it is 5.5%

T (time) is the time required for money to grow

A (amount) is the final amount desired, which is 4 times larger of $100, thus $400

We have the following:

400 = 100 * e0.055t

400/100 = e0.055t

4 = e0.055t

Then we will apply natural log to both sides of the equations and get the following:

ln(4) = ln(e0.055t)

Since e is the base of ln(x) the equation simplifies to:

ln(4) = 0.055t

Using the calculator to find ln(4) we are getting:

1.38629 = 0.055t

Lastly find t

t = 1.38629/0.055

t = 25.20535202

Plug the answers back to the original equation to verify the answers.

1st part of the question answer: t = 20.4895

2nd part of the question answer: t = 25.20535202

3 0
3 years ago
Factor 3x+6 using algebraic tiles
Kruka [31]
Answer: 3(x+2)

Let me know when you need help
I'll help get your answer!
6 0
3 years ago
Andrew has already played 32 minutes on his video game this morning and wants to play an additional 15 minutes on each of x game
belka [17]

Given :

Andrew has already played 32 minutes on his video game this morning and wants to play an additional 15 minutes on each of x games after school today.

To Find :

Which equation can be used to find y, the total minutes Andrew will play video games today.

Solution :

Number of minutes he play after school time, n = 15x .

Number of minutes already played, c = 32 .

So, total number of minutes he play games for today is :

y = n + c

y = 15x + 32

Therefore, equation which is useful to find number of minutes video game played per day is y = 15x + 32 .

8 0
3 years ago
A diagonal shortcut across a rectangular lot is 130 feet long. The lot is 50 feet long. What is the other dimension of the lot
ryzh [129]
We use the pithagorean formula: x^2 = 130^2 - 50^2 = 16900 -2500 = 14400;
then, x = \sqrt{14400} = 120 feet has the other dimension of the lot.
6 0
3 years ago
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