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algol [13]
2 years ago
15

Find the standard form equation of an ellipse with a focus at the origin and the point 4,2 on the latus rectum

Mathematics
1 answer:
AnnZ [28]2 years ago
8 0
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Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is 450 kg, but Renna and her l
pychu [463]

Answer:

620-37.4p\leq 450

Step-by-step explanation:

Let p be the number of identical packages.

We have been given that each package has a mass of 37.4 kg, so weight of p packages will be 37.4p.

The total mass of Renna and her load of identical packages is 620 kg.

We have been given that the mass limit for the elevator is 450 kg. This means that Renna can remove p packages from 620 kg such that 620 minus weight of p packages will be less than or equal to 450 kg.

We can represent this information in an inequality as:

620-37.4p\leq 450

Therefore, the inequality 620-37.4p\leq 450 can be used to determine the number of packages, p, Renna could remove from the elevator to meet the mass requirement.

3 0
2 years ago
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HURRY I NEED HELP I'LL GIVE OUT THAT BRAIN THING
nata0808 [166]

Answer: B

Step-by-step explanation:

6 0
2 years ago
Courtney has a total of 88 stamps worth $15.56. Some are 25 cent stamps and some 2 cent stamps. How many of each does she have
Oksi-84 [34.3K]
<span>88 stamps -------------------- >  $15.56
A------------------------------>number of  </span>stamps ------------ ><span>25 cent
B----------------------------- > </span>number of  stamps ------------ >2 cent

A+B=88------------------ > A=88-B
0.25A+.02B=15.56
resolving
0.25(88-B)+0.02B=15.56
22-0.25B+0.02B=15.56
-0.23B=-6.44----------------------- > B=28 stamps of 2 cent
A=88-B-- >88-28=60------------- > A=60 stamps of 25 cent
6 0
2 years ago
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Rate at which risk of down syndrome is changing is approximated by function r(x) = 0.004641x2 − 0.3012x + 4.9 (20 ≤ x ≤ 45) wher
romanna [79]
The rate of change of the risk of down syndrome (in percentage of births per year) is
r(x) = 0.004641x² - 0.3012x + 4.9,   20≤ x ≤ 45
where
x = maternal age at delivery.

The function giving risk as a percentage of births when maternal age is x is the integral of r(x). That is,
f(x) = 0.001547x³ - 0.1506x² +4.9x + c

When x = 30, f = 0.14%. Therefore
0.001547(30³) - 0.1506(30²) + 4.9(30) + c = 0.14 
41.769 - 135.54 + 147 + c = 0.14
c = -53.089

Answer:
f(x) = 0.001547x³ - 0.1506x² + 4.9x - 53.089,   20 ≤ x ≤ 45

The function is graphed as shown below.

7 0
2 years ago
If the 180 food calories found in a granola bar come entirely from p grams of protein, f grams of fat, and c grams of carbohydra
Mice21 [21]

f = 180 - p - c

to find the amount of fat subtract the protein and carbs from the original 180 calories

3 0
2 years ago
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