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Vadim26 [7]
2 years ago
9

Consider the following system of linear inequalities and corresponding graph:

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
4 0
Answer: D (2,0)
The solution of the inequalities should lie in yellow shaded area and on the line y>=2x-4.
So, in the given points , (2,0) satisfies the above condition.
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The circumference of a circle is 9π m. What is the area, in square meters? Express your answer in terms of π π
storchak [24]

Answer:

A = 20.25π sq meters

Step-by-step explanation:

C = 2πr

9π = 2πr

divide π from each side to get:

9 = 2r

r = 9/2 or 4 1/2

A = πr²

A = π (4.5²)

A = 20.25π

5 0
3 years ago
Drug B has is to be given 10 mg/kg/day in 2 divided doses. The patient weighs 220 pounds. The pharmacy has 250 mg capsules on ha
Rasek [7]

Answer:

a) 996.6 mg

b) 498.96 mg

c) 4

d) 2

Step-by-step explanation:

Given:

Dose to be given = 10 mg/kg/day

Number of dose to be divided = 2

weight of the patient = 220 pounds

now,

1 pound = 0.453 kg

thus,

weight of the patient = 220 × 0.4536 = 99.792 kg

a) Amount of Drug patient should receive per day = dose × weight of patient

or

Amount of Drug patient should receive per day = 10 × 99.792

or

Amount of Drug patient should receive per day = 997.92 mg

b) Now, the dose is divided in to 2 per day

thus,

The amount of drug received per dose = \frac{\textup{Drug received per day}}{\textup{Number of dose per day}}

or

The amount of drug received per dose = \frac{\textup{997.92 mg}}{\textup{2}}

or

The amount of drug received per dose = 498.96 mg

c) weight of capsule = 250 mg

Thus,

capsules received by patient per day = \frac{\textup{Dose per day in mg}}{\textup{weight of capsule in mg}}  

or

capsules received by patient per day = \frac{\textup{997.92}}{\textup{250}}  

or

capsules received by patient per day = 3.99168 ≈ 4

d) Capsules to be received per dose = \frac{\textup{Amount of drug per dose in mg}}{\textup{weight of capsule in mg}}  

or

capsules received by patient per dose = \frac{\textup{498.86}}{\textup{250}}  

or

capsules received by patient per dose = 1.99544 ≈ 2

7 0
3 years ago
The undefined terms line and place are needed to precisely define which mathematical term
PilotLPTM [1.2K]
The definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requires the undefined terms of line and point.
4 0
3 years ago
Ifangle1∠ 1 and angle2∠ 2 are complementary, find the measure of x and the measures of the angles when LaTeX: m\angle1=\left(6x+
Liono4ka [1.6K]

Answer:

<h3>x = 5</h3>

Step-by-step explanation:

The sum of two complementary angle is 90 degrees. Given the following complementary angles;

<1 = 6x + 5

<2 = 8x + 15

<1 + <2 = 90 (complementary angles)

6x + 5 + 8x + 15 = 90

14x + 20 = 90

14x = 90-20

14x = 70

x = 70/14

x = 5

Hence the measure of x is 5

6 0
3 years ago
What is the relationship between the ratios? 10/24 and 5/12. Drag and drop to complete the statement. Are they proportional or n
lyudmila [28]

Answer:

Yes, the two ratios are proportional because they are the same ratio

Step-by-step explanation:

10/2=5

24/2=12

10/24=5/12

8 0
3 years ago
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