Evaluate the related series,of each sequence
-9,-16,-23,-30,-37,-44
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NOT JUST THE ANSWER!! NEED STEP BY STEP ANSWER.6(y+3)=24
A population of flies grows according to the function p(x) = 6(3)x, where x is measured in weeks. A local spider has set up shop and consumes flies according to the function s(x) = 4x + 1. What is the population of flies after two weeks with the introduced spider?
In a recent poll, 32% of the referees who were surveyed said that ejecting angry coaches was their favorite thing to do. If 152 referees gave this response, how many were surveyed in total?
Bob Ross has a charge card. Ross's previous monthly balance if $167.42. He made a payment of $159.15. There is no finance charge. This month Ross has no new purchases. What is the new balance?
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Answer:
I found the image that accompanied this problem.
We need to solve for the area of the sector.
A = n/360 * π * r²
A = 85/360 * 3.14 * 5²
A = 0.2361 * 3.14 * 25
A = 18.5347
Answer is C. 18.5 square meters.
Step-by-step explanation:
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m 2 = V 2 * d
Both tetrahedrons have the same density.
V = 1/3 * a²√3/4 * h
V 1 = 1/3 * 1² * √3 / 4 * √2 / √3 = √2 / 12 cm³
V 2 = 1/3 * 3²√3 /4 * √6 = 9√2 / 4 cm³
m 1 : m 2 = √2 /12 : 9√2/4
m 1 * 9√2 / 4 = m 2 * √2 / 12
m 1 = m 2 / 27
m 1 + m 2 = 100 g
m 2 / 27 + m 2 = 100 g / * 27
m 2 + 27 m 2 = 2700
28 m 2 = 2700
m 2 = 2700 : 28
m 2 = 96.42 g
Answer:
The weight of the bigger tetrahedron is 96.42 g.
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4P(y-k)=(x-h)^2
where (h,k) is vertex
P is distance from vertex to focus which is also equalt to distance from vertex to directix
we plot those points and see it opens up (don't cross directix)
P is positive
from 4 to 3 is a distace of 1
1/2=1/2
P=1/2
3+1/2=3.5
the vertex is (-1,3.5)
4(1/2)(y-3.5)=(x+1)^2
2(y-3.5)=(x+1)^2
put in vertex form (solve for y)
divide both sides by 2
y-3.5=(1/2)(x+1)^2
add 3.5
y=
A.
{(7, 12), (1, –5), (3, –10), (2, –5)}
B.
{(1, 2), (1, 5), (1, –1), (1, 4)}
C.
{(–3, 4), (–2, 5), (0, 9), (0, 12)}
D.
{(8, –1), (2, –1), (3, 8), (2, 5}
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A is the only option where x-coordinates do not repeat. So A is the answer.
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The ladder leaning against the wall forms a right angled triangle with the gound and the wall. So we can use the formula:
a² + b² = c²
The ladder is the hypotenuse c²
The vertical leg is b²
The base or horizontal leg is a²
We need to find the length of the base a², so:
a² = c² - b²
a² = 5² - 4²
a² = 25 - 16
a² = 9
a = √9
a = 3
Therefore the bottom of the ladder must be 3 feet from the wall.
Mike purchased 3 DVD's and 14 video games for $203. Nick went to the same store and brought 11 DVD's and 11 video games for $220. How much is each video game and each DVD?
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11D+11G=220(-14) to cancel G -154D-154G=-3080
-121D=-847 divide by -121 on both sides
D=7 plug back into equation
11(7)+11G=220
77+11G=220 subtract 77 from both sides
11G=143 divide by 11 on both sides
G=13