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mestny [16]
3 years ago
8

Please help me with this

Mathematics
1 answer:
KIM [24]3 years ago
4 0

Answer:

0.40

Step-by-step explanation:

Sin(T) is Opposite over Hypotenuse, which is RS/ST.

ST = sqrt(43) so we can plug that in.

To find RS, use the Pythagorean theorem, so, 6^2+ (RS)^2= 43.

36 + (RS)^2 = 43

RS^2 = 7

RS = sqrt(7)

Thus, Sin(T) = sqrt(7/43) or 0.40

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the function f(x) = 3,005(1+0.03)^x represents the amount of money in a savings account where x represents time in years. what d
Stolb23 [73]

Answer:

Option d. the initial amount of money placed in the savings account

Step-by-step explanation:

we have

f(x)=3,005(1+0.03)^{x}

This is a exponential function of the form

f(x)=a(1+r)^{x}

where

a is the initial value

r is the growth rate

(1+r) is the base

x is the number of years

f(x) is the amount of money in a savings account

In this problem we have

a=$3,005

r=0.03=3%

(1+r)=1.03

therefore

3,005 represent the initial value ( the amount of money for the value of x equal to zero)

6 0
3 years ago
Read 2 more answers
There are two numbers 235,082 miles and 363,104 kilometers. What is the scientific notion?
Lynna [10]

Answer:

Miles=2.35082e5 Kilometers= 3.63104e5

Step-by-step explanation:

8 0
3 years ago
-3 + (-8)<br> how can i do this
murzikaleks [220]

Answer: -11

Step-by-step explanation:

+(-8) can be simplified to -8 because when you multiply a positive sign by a negative sign, the outcome is a negative sign. So your problem is -3-8= and the answer is -11 because when two numbers with the same sign are subtracted/added by each other, the numbers just get added and the sign stays the same. If you're still confused, use a number line. Hope this helps!

6 0
3 years ago
PLEASE PLEASE PLEASE PLEASE PLEASE HELP ME PLEASE HELP!?!?!!?!?!?!?!!?!!?!
Vladimir79 [104]
\text{Goal: Find } x \text{ such that:} \\ 2^x > 4x + 12

2^x > 4x + 12 \\ 2^x > 4(x + 3) \\ 2^{x - 2} > x + 3

\text{A lemma: } \\ \text{It is given that: } \\ 2^n > 2n + 1, \text{ } n > 3
\text{This can be proven by Mathematical Induction.}
\text{Using this lemma, we can manipulate the expression:} \\ 2^{x - 2} > 2(x - 2) + 1 = 2x - 3, \text{ } x > 5 \\ 2\cdot 2^{x - 2} > 2(2x - 3) \\ 2^{x - 1} > 4x - 12 \\ 2^{x - 1} + 24 > 4x + 12

\text{Observe the following: } 2^x \text{ will always grow faster than } 2^{x - 1} \\ \text{This implies that } 2^{x} > 2^{x - 1} + 24 > 4x + 12, \text{ given that } x > 5

\text{This means that the first month } f(x) > g(x) \text{ is Month 6.}
8 0
3 years ago
PLEASE HELP!
Ilia_Sergeevich [38]
You have the function y= \dfrac{60x}{1+0.625x}. 
Rewrite it in the following way:

y= \dfrac{60x}{1+0.625x}=\dfrac{60x}{1+ \frac{5}{8} x}=\dfrac{480x}{8+5x}=\dfrac{96\cdot 5x}{8+5x}=
=\dfrac{96(5x+8-8)}{8+5x}=\dfrac{96(5x+8)}{8+5x}-\dfrac{96\cdot8}{8+5x}=96-\dfrac{768}{8+5x}.
This <span>function entry allows you to determine that y=96 is the horizontal asymptote and x=-8/5 is the vertical asymptote.
</span>
From the added graph of the function you can conclude that <span>the maximum number of moose that the forest can sustain at one time is 96.</span>
Answer: Correct choice is A.
<span />

8 0
3 years ago
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