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3 years ago

The sum of 5 and the twice a number is at most 27

1 answer:

3 0

If you are looking to write an inequality equation that models this situation, then the answer would be: $5+2x\leq 27$ . The "at most" signals to use the less than or equal to sign.

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I NEED HHELP ASAP STOP SENDING ME LINK

Ymorist [56]

Answer:

The answer is B

Step-by-step explanation:

hope that helps

5 0

3 years ago

Read 2 more answers

PLS HELP TIMED QUESTION!!!

ser-zykov [4K]

Answer:

About 5043.58

Step-by-step explanation:

The standard form for an exponential decay after t time is:

$\displaystyle f(t)=a(r)^{t/d}$

Where a is the initial value, r is the rate decay, t is the time that has passed, and d is the amount of time it takes for 1 cycle.

The initial value is 9800. So a = 9800.

The quantity cuts in half. So, r = 1/2.

And it cuts in half every 6 days. For this question, we will convert this to hours. 6 days = 144 hours. So, we can let d = 144, where t will be in hours.

Therefore, our function is:

$\displaystyle f(t)=9800\Big(\frac{1}{2}\Big)^{t/144}$

Where t is the amount of time that has passed, in hours.

Then the quantity left after 138 hours will be:

$\displaystyle f(138)=9800\Big(\frac{1}{2}\Big)^{138/144}\approx 5043.58$

7 0

2 years ago

Simplify (x2 16)(x2-16)? A. x4- 256 B. x256 C. x432 D. x4-32

tiny-mole [99]

(x² + 16)(x² - 16)
= (x²)² - 16²
= x⁴ - 256

7 0

3 years ago

A game shop sells marbles in clear plastic cylinders. Four marbles fit across the diameter of the cylinder and 10 marbles fit fr

slega [8]

To start, you know that this question is asking for the surface area of one of the cylinders, and the formula to finding the surface area of a cylinder is A=2πrh+2πr^2.

Now, to find the surface area, you first need to figure out the height of the plastic cylinder and its radius.
Since you know that the diameter (twice the radius) of the cylinder is equivalent to 4 marbles, and each marble has a diameter of 2 cm, the diameter of the cylinder would be 8 cm. Then, to find its radius, you divide by 2, so its radius is 4.
Now, since you know that the height of the cylinder is 10 marbles, you multiply 10 by 2 to get that the height is 20 cm tall.
Since you now have the values of the height and the radius, plug the values into the surface area of a cylinder formula (r is radius and h is height).
A=2π(4)(20)+2π(4)^2.
Assuming that pi is 3.14, when you simplify this using PEMDAS, you get
502.4+100.48 which then simplifies to 602.88, the area of the plastic to make one cylinder.

5 0

3 years ago

1. Suppose that 35% of all patients admitted to a hospital's intensive care unit (ICU) have high blood pressure, 42% have some s

Lelechka [254]

Answer:

a) 65%

b) 28.57%

Step-by-step explanation:

Suppose that 35% of all patients admitted to a hospital's

intensive care unit have high blood pressure, 42% have some sort of infection, and 12% have both problems. Probabilities estimated from the data in ICU Admissions. (10POINTS)

(a) Find the probability that a randomly chosen patient in this ICU has either high blood pressure or an infection.

(b) Find the probability that a patient admitted to the ICU has high blood pressure given that an infection is present.

Solution:

Let H represent the people with high blood pressure and I represent the people with infection.

P(H) = 35% = 0.35, P(I) = 42% = 0.42, P(H ∩ I) = 12% = 0.12

Those with only high blood pressure = P(H ∩ I') = P(H) - P(H ∩ I) = 0.35 - 0.12 =0.23

Those with only infection = P(H' ∩ I) = P(I) - P(H ∩ I) = 0.42 - 0.12 =0.30

a) probability that a patient has either high blood pressure or an infection = P(H ∪ I)

P(H ∪ I) = P(H ∩ I') + P(H' ∩ I) + P(H ∩ I) = 0.23 + 0.3 + 0.12 = 0.65 = 65%

b) probability that a patient has high blood pressure given that an infection is present = P(H / I)

P(H / I) = P(H ∩ I) / P(I) = 0.12 / 0.42 = 0.2857 = 28.57%

4 0

2 years ago