What is the total cost of a $56.53 meal at a restaurant after including a 17% tip?

Identify a1 r and n for the sum of the geometric sequence. 1/2 + 3/8 + 9/32 + 27/128 + 81/512

Bess [88]

Answer:

a1=1/2

r=3/4

n=5

Step-by-step explanation:

a1 is the first term in the geometric series

a1=1/2

r is the common ratio of the first and second term

r=(3/8)/(1/2)

r=3/4

where n is the no of the term in the geometric series

In algebra, the polynomial remainder theorem or little Bézout's theorem is an application of Euclidean division of polynomials. It expresses that the rest of the division of a polynomial by a direct polynomial is equivalent to. Specifically, is a divisor of if and just if a property known as the factor hypothesis.

The number multiplied at each stage of a geometric sequence is called its common ratio.

4 0

3 years ago

Read 2 more answers

2ft 3in = how many inches

Arte-miy333 [17]

1 ft = 12 inches

2 ft = 24 inches

24 inches + 3 inches = 27 inches

7 0

3 years ago

Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan 1/2 θ

mrs_skeptik [129]

Answer:

Step-by-step explanation:

If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant. But maybe you don't know it isn't and it's a "trick" to throw you off. Hmm...

Anyways, the half angle identity for tangent is

$tan(\frac{\theta}{2})=\frac{sin\theta}{1+cos\theta}$

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.

If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5. That makes the missing side, by Pythagorean's Theorem, -3. Filling in our formula:

$tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{1+(-\frac{4}{5}) }$ which simplifies a bit to

$tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{5}{5} -\frac{4}{5} }$ and a bit more to

$tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{1}{5} }$

Bring up the lower fraction and flip it to divide to get

$tan(\frac{\theta}{2})=-\frac{3}{5}*\frac{5}{1}$ which of course simplifies to

-3. Choice A.

6 0

3 years ago

The pie chart shows information about voters in an election. 2800 more women vote than men. Work out the total number of voters.

Dmitry [639]

The picture in the attached figure

let
x--------> men voters
y-------> women voters

we know that
y=x+2800------> y-x=2800------> equation 1

step 1
find the percentage of women and men voters
in the graph
central angle by men voters=130°
central angle by women voters=(360°-130°)-------> 230°
by using proportion
men voters
$\frac{360}{100} = \frac{130}{M} \\ M=(100*130)/360 \\ M=36.11$ %

women voters
$\frac{360}{100} = \frac{230}{F} \\ F=(100*230)/360 \\ F=63.89$ %

remember equation 1
y-x=2800
so
F-M=63.89%-36.11%----> 27.78%

if 27.78% correspond to 2800 voters
100%---------------------->T
T=100*2800/27.78-------> T=10,079.19 voters

the answer is
about 10,079 voters

6 0

4 years ago

Find the length indicated

Contact [7]

Answer:

the answer is b, 12

Step-by-step explanation:

16-4=12

8 0

3 years ago