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3 years ago

*** Write the rule for the value of the term of the geometric sequence: -5, 10, 20, 40, ..

Mathematics

1 answer:

Gwar [14]3 years ago

3 0

Answer: Well what I see Is 5 to 10 then 20 then 40 so we add to 30 then 40 and 50 so 5 10 20 40 70 110 160

Step-by-step explanation:

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There are 30 books on the library shelf, Sam noted that 1/6 of them are non fiction. Dan notes that 3/5 of the books are fiction

ehidna [41]

Answer:

Step-by-step explanation:

Fiction books: (1/6) of 30 books = 5 books

Non-fiction books: (3/5) of (30) books = 18 books

The subtotal here is 5 + 18, or 23.

23 of the books are either fiction or non fiction.

30 - 23, or 7, of the books remain (are neither fiction nor non-fiction).

3 0

3 years ago

Sarahs craft project uses peices of yarn that are 1/8 yard long.She has a peice of yarn that is 3 yards ling.How many 1/8 yard p

motikmotik

Pieces of yarn .... 1/8 yard long (each)
a piece of yarn ... n = 3 yards long
remaining ... 1 1/4 yards = 5/4 yards

If you would like to calculate how many 1/8 yard pieces can Sarah cut and still have 1 1/4 yards left, you can do this using the following steps:

n - 1 1/4 = <span>3 - 1 1/4 </span>= 3 - 5/4 = 12/4 - 5/4 = 7/4 = 1 3/4 yards

7/4 / 1/8 = 7/4 * 8/1 = 14 pieces

Result: Sarah can cut 14 1/8 yard pieces and still have 1 1/4 yards left.

3 0

3 years ago

Read 2 more answers

At a store, 2 gallons of milk cost $6. Which is the value of the ratio of dollars to gallons of milk?

Nataliya [291]

1 gallon = $3 so the ratio would be 1:3 where 1 would represent the gallon and 3 the price

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3 years ago

Read 2 more answers

Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 P (8,4)

Mnenie [13.5K]

One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
$(x-h)^2+(y-k)^2=r^2$
the center is (h,k) and the radius is r

and the distance formula is
distance between $(x_1,y_1)$ and $(x_2,y_2)$ is
$D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle

so
$(x+2)^2+(y-3)^2=18$
$(x-(-2))^2+(y-3)^2=(\sqrt{18})^2$
$(x-(-2))^2+(y-3)^2=(3\sqrt{2})^2$

the radius is $3\sqrt{2}$
center is (-2,3)

find distance between (8,4) and (-2,3)

$D=\sqrt{(8-(-2))^2+(4-3)^2}$
$D=\sqrt{(8+2)^2+(1)^2}$
$D=\sqrt{10^2+1}$
$D=\sqrt{100+1}$
$D=\sqrt{101}$

$r=3\sqrt{2}$ ≈4.2
$D=\sqrt{101}$ ≈10.04

do r<D

(8,4) is outside the circle

6 0

3 years ago

Janice Tax, an accountant for Flee Corp., earned $102,700 from January to June. In July she earned $8,000. Assuming a FICA tax r

faust18 [17]

The Federal Insurance Contributions Act (FICA) is made up of two items, Social Security and Medicare taxes. For 2016, the Social Security tax rate is 6.2% on the first $118,500 wages paid. The Medicare tax rate is 1.45% on the first $200,000 and 2.35% above $200,000. Since the total earnings is only $110,700 which is not yet taxable. So there is no taxable earnings yet.

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3 years ago