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3 years ago

Write the decimal represented by each point.

Mathematics

2 answers:

GuDViN [60]3 years ago

6 0

Point A: 0.8
Point B: 0.3
Point C: 0.5
Point D: 0.2

victus00 [196]3 years ago

5 0

Answer:

A) ,8

B) .3

C) .5

D) .2

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When doctors prescribe medicine, they must consider how the drug’s effectiveness declines as time passes. If each hour a drug is

Dima020 [189]

Answer:

<u>The total time for the initial dose of 500 mg to reach a level of 150 mg is approximately 11 hours and 27 minutes </u>

Step-by-step explanation:

Initial dose = 500 mg

Let's calculate the effectiveness of the drug hour by hour, this way:

After 1 hour: 90% of 500 = 450 mg

After 2 hours: 90% of 450 = 405 mg

After 3 hours: 90% of 405 = 364.5 mg

After 4 hours: 90% of 364.5 = 328.05 mg

After 5 hours: 90% of 328.05 = 295.25 mg

After 6 hours: 90% of 295.25 = 265.73 mg

After 7 hours: 90% of 265.73 = 239.16 mg

After 8 hours: 90% of 239.16 = 215.24 mg

After 9 hours: 90% of 215.24 = 193.72 mg

After 10 hours: 90% of 193.72 = 174.35 mg

After 11 hours: 90% of 174.35 = 156.92 mg

After 12 hours: 90% of 156.92 = 141.23 mg

Difference between 11 and 12 hours: 156.92 - 141.23 = 15.7 mg

Difference per minute between 11 and 12 hours: 15.7/60 = 0.262 mg

Time to reach a level of 150 mg in minutes after 11 hours = (156.92-150)/0.262

Time to reach a level of 150 mg in minutes after 11 hours = 26.4

<u>The total time for the initial dose of 500 mg to reach a level of 150 mg is approximately 11 hours and 27 minutes </u>

4 0

3 years ago

Two farmers each have triangular plots of land in the diagram below with approximate values shown for lengths in feet

Ray Of Light [21]

Answer:

a) Plots are similar
b) x= 5577 feet

Step-by-step explanation:

<em>Refer to attached</em>

<h3>Question</h3>

a) Are the plots of land similar?
b) Find to the exact value of x and rounded to the nearest tenth?

<h3>Solution</h3>

The small triangle have missing angle of 180° - (52° + 58°) = 70°

This is indicating both triangles have same 3 angle measures.

Since all angles are same, the triangles are similar.

<u>Corresponding sides, against corresponding angles are:</u>

6180 and 8240
x and 7436

<u>As per property of similarity, the ratio of corresponding sides is same</u>

6180/8240 = x/7436
x = 6180*7436/8240
x = 5577 feet

4 0

3 years ago

Please someone help me

Vanyuwa [196]

1.
1/4 is less then 2/4 or 1/2so if the denominator is equal it will be easier to multiply

3 0

3 years ago

A pumpkin is launched directly upwards at 72 feet per second from a platform 24 feet high. The pumpkins height, h, at time t sec

STALIN [3.7K]

Answer: Maximum height = 105 feet

And, It takes 9/4 seconds to reach that point.

Step-by-step explanation:

Here the given function that shows the height of the pumpkin,

$h(t) = -16t^2 + 72t + 24$ --------(1)

Where t is the time in second.

Differentiating equation (1) with respect to t,

We get, $h'(t) = -32 t + 72$

Again differentiating above equation with respect to t,

We get, $h''(t) = -32$

For maximum or minimum, $h'(t) = 0$

$- 32 t + 72 = 0$

$32 t = 72$

$t = \frac{9}{4}$

At t = 9/4 , h''(t) = Negative value,

Therefore, At t = 9/4 seconds, h(t) is maximum,

And, the maximum value is,

$h(\frac{9}{4} ) = -16(\frac{9}{4})^2 + 72(\frac{9}{4}) + 24$

$h(\frac{9}{4} ) = -16(\frac{81}{16})+ 72(\frac{9}{4}) + 24$

$h(\frac{9}{4} ) = -81 + 162 + 24=105$

Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds

8 0

2 years ago

What is the measure of angle ACB in this triangle

Mrrafil [7]

So, angles A and B added together is 130° which makes the whole angle = 180°-130°=50°

The answer is 180° because it is a supplementary angle and all supplementary angles equal 180° so, all the angles added makes 180°

7 0

3 years ago