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galina1969 [7]
2 years ago
13

Write an explicit rule for the geometric sequence:

Mathematics
1 answer:
aalyn [17]2 years ago
4 0

Answer:

I think you would just multiply by -4

Step-by-step explanation:

3 x -4 = -12

-12 x -4 = 48

48 x -4 = -192

Please let me know if I've done anything wrong!

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Find the value of sin100.sin120.sin140.sin160​
NARA [144]

The value of sin100.sin120.sin140.sin160 is 0.1875

Step-by-step explanation:

To find the value of sin100.sin120.sin140.sin160, let us find the value of each angle.

The value of sin100=0.9848

The value of sin120=\frac{\sqrt{3} }{2}

The value of sin140=0.6428

The value of sin160=0.3420

Substituting the values of sin, we get,

sin100.sin120.sin140.sin160=0.9848*\frac{\sqrt{3} }{2} *0.6428*0.3420

Multiplying the values of sin, we get,

sin100.sin120.sin140.sin160=0.1875

Thus, the value of sin100.sin120.sin140.sin160 is 0.1875

8 0
2 years ago
Harmony earns a \$42{,}000$42,000dollar sign, 42, comma, 000 salary in the first year of her career. Each year, she gets a 4\%4%
saveliy_v [14]

Answer:

FV(n)=42,000(1.04)^n

Step-by-step explanation:

FV=PV(1+r/n)^nt

Where

FV=future value

PV=present value

r=interest rate

n=number of periods

t=time (years)

PV=42,000

r=4%=0.04

n=1

t=n

FV(n)=p(1+r/n)^nt

=42,000(1+0.04/1)^1*n

=420000(1+0.04)^n

=42,000(1.04)^n

FV(n)=42,000(1.04)^n

7 0
2 years ago
A building has an entry the shape of a parabolic arch 74 ft high and 28 ft wide at the base as shown below.
sergiy2304 [10]
The equation of a parabola with vertex at (h,k) is 
y=a(x-h)²+k

vertex isi at (0,0)

y=a(x-0)²+0
y=a(x)²
y=ax²
find a

we see that one point is (14,-74)
x=14 and y=-74

-74=a(14²)
-74=196a
divide both sides by 196
-37/98=a

the equation is 

y= \frac{-37}{98} x^2




6 0
2 years ago
Read 2 more answers
An element with mass 730 grams decays by 27.6% per minute. How much of the element is remaining after 12 minutes, to the nearest
Korolek [52]
\bf \qquad \textit{Amount for Exponential Decay}\\\\
A=I(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &730\\
r=rate\to 27.6\%\to \frac{27.6}{100}\to &0.276\\
t=\textit{elapsed time}\to &12\\
\end{cases}
\\\\\\
A=730(1-0.276)^{12}\implies A=730(0.724)^{12}
8 0
2 years ago
Read 2 more answers
One of the factors of the polynomial x3 − 5x2 is x + 3. What is the other factor?
blondinia [14]

Answer:

C. x² − 8x + 24 − 72/(x+3)

Step-by-step explanation:

See attached picture for long division method.

Logically, we know x³ − 5x² factors to x² (x − 5).  Since x + 3 isn't a factor, we know the remainder isn't 0.  So we can narrow the options down to A or C.

One way to find the remainder is through long division.  Or, since this is multiple choice, we multiply the options by x + 3 and see which one results in an answer of x³ − 5x².

(x + 3) (x² − 8x + 24 − 72/(x+3))

(x + 3) (x² − 8x + 24) − 72

x³ − 8x² + 24x + 3x² − 24x + 72 − 72

x³ − 5x²

6 0
2 years ago
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