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Crazy boy [7]
3 years ago
5

HELP ASAP *will mark brainliest* picture attached.

Mathematics
1 answer:
spin [16.1K]3 years ago
4 0
X^2 + y^2 = 5
y = 2x

The second equation is solved for y, so substitute it in the first equation.

x^2 + (2x)^2 = 5

x^2 + 4x^2 = 5

5x^2 = 5

x^2 = 1

x^2 - 1 = 0

(x + 1)(x - 1) = 0

x = -1 or x = 1

Now substitute both values of x in the second equation and solve for y.

y = 2x

For x = -1

y = 2(-1)

y = -2

For x = 1

y = 2(1)

y = 2

Solution: (-1, -2), (1, 2)
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REAL LIFE A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet. Abo
aivan3 [116]

Answer:

It can hold up to 1.256ft^3 of waste

<em></em>

Step-by-step explanation:

Given

D = 1.5ft -- Diameter

h = 1.6ft -- height

Required

Determine the amount of waste it can hold

This simply means that we calculate the volume of the cylindrical container.

And this is calculated using:

Volume = \pi r^2h

Where

\pi = 3.14

and

r = \frac{D}{2}

r = \frac{1.5}{2}

r = 0.75

So, we have:

Volume = 3.14 * 0.5^2 * 1.6

Volume = 1.256ft^3

<em>Hence, it can hold up to </em>1.256ft^3<em> of waste</em>

3 0
3 years ago
A doctor administers a drug to a 36-kg patient, using a dosage formula of 51 mg/kg/day. Assume the drug is available in a 300 mg
Alex
500 is the square root of 36-kg because of 300 tablets
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Find the sum of<br>−3x2−x−10 and 10x^2+x-10
Andru [333]

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5 0
3 years ago
TotCo is developing a new deluxe baby bassinet. If the length of a newborn baby is normally distributed with a mean of 50 cm and
slavikrds [6]

Answer:

91.63 cm is the interior length of the bassinet to ensure that 99 percent of newborn babies will fit, with a safety margin of 15 cm on each end of the bassinet.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50 cm

Standard Deviation, σ = 5 cm

We are given that the distribution of  length of a newborn baby is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(X<x) = 0.99

We have to find the value of x such that the probability is 0.99

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 50}{5})=0.99  

Calculation the value from standard normal table, we have,  

P(z

\displaystyle\frac{x - 50}{5} = 2.326\\x = 61.63  

Thus, 99% of newborn babies will have a length of 61.63 cm or less.

There is a safety margin of 15 cm on each end of the bassinet

Length of bassinet =

61+63 + 15 +15 = 91.63\text{ cm}

6 0
3 years ago
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