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ioda
3 years ago
15

Josh ingests 800mg of ibuprofen. His body metabolizes (uses up) 20% of the medicine

Mathematics
1 answer:
makvit [3.9K]3 years ago
8 0

328 mg medicine is remaining in his system after four hours .

<u>Step-by-step explanation:</u>

Here we have , Josh ingests 800 mg of ibuprofen. His body metabolizes (uses up) 20% of the medicine  per hour.We need to find How much medicine is remaining in his system after four hours .Let's find out:

According to question , Josh ingests 800 mg of ibuprofen and His body metabolizes (uses up) 20% of the medicine  per hour . let amount of medicine left after 4 hours is x , So Amount of medicine left after 1 hour :

⇒ 800-\frac{800(20)}{100} = 800-160 = 640 mg

Amount of medicine left after 2 hour :

⇒ 640-\frac{640(20)}{100} =512 mg

Amount of medicine left after 3 hour :

⇒ 512-\frac{512(20)}{100} =409.6 mg

Amount of medicine left after 4 hour :

⇒ 409.6-\frac{409.6(20)}{100} =328 mg

Therefore , 328 mg medicine is remaining in his system after four hours .

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There is only one angle measure , ∡JHF , which is 34 degrees . I have to find the measure of angle ∡FJH .
Minchanka [31]

the assumption here being that both lines JH and FH are tangent lines to the circle, if that's the case the external angle of 34° is the angle made by the equal tangents, meaning the triangle is an isosceles with twin sides.

In an isosceles triangle the twin sides make also twin angles, so the angles at J and F are twins, and they'd be 180° - 34° = 146° total, since they're twins, each one takes half, or 73°.

5 0
3 years ago
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The equation of the line that is parallel<br> to 4x+2 and passing through (5,15)
Mila [183]

Answer:

y=4x-5.

Step-by-step explanation:

slop-interception form of the required line is y=kx+b, where k - slop, b - intercept;

1) to find value of k:

if the required line is parallel to the given line, then slop of the given line = slop of the required line, it means k=4 and the required line is y=4x+b;

2) to find the value of 'b':

if to substitute the given coordinates into the equation of the given line, then:

15=4*5+b, b= -5.

3) finally, y=4x-5

8 0
2 years ago
A triangular playground has angles with measures in the ratio 8 : 6 : 4. What is the measure of the smallest angle?
Airida [17]

Answer:

20°

Step-by-step explanation:

One way of doing this is to find the constant of proportionality, k:

8k + 6k + 4k = 90°    Then 18k = 90°, and k turns out to be 90/18, or 5.

Then the angles are 8(5), 6(5) and 4(5).  The smallest of these angles is thus 20°

8 0
3 years ago
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Find the equation of the tangent line and normal line to the curve y=(6+4x)2 at the point (6,900). Write the equations of the li
Ksenya-84 [330]

Answer:

Equation of the tangent to the curve

y = 240x - 215994

Equation of the normal

y = (-1/240)x + 9.75 = - 0.00417x + 9.75

Step-by-step explanation:

y = (6 + 4x)² = 36 + 48x + 16x² = 16x² + 48x + 36

dy/dx = 32x + 48

At the point (6,900),

dy/dx = 32(6) + 48 = 240

Equation of the tangent at point (a,b) is

(y - b) = m(x - a)

a = 6, b = 900, m = 240

y - 6 = 240(x - 900)

In the y = mx + b form,

y - 6 = 240x - 216000

y = 240x - 215994

The slope of the normal line = -(1/slope of the tangent line) (since they're both perpenducular to each other)

Slope of the normal line = -1/240

Equation of normal

y - 6 = (-1/240)(x - 900)

y - 6 = (-x/240) + 3.75

y = (-1/240)x + 9.75

y = - 0.00417x + 9.75

8 0
3 years ago
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LekaFEV [45]

Answer: 31.5 in.

Answer:

the answer is 13 cm

Step-by-step explanation:

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