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Verizon [17]
3 years ago
7

A new health drink has 130​% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is 50 mg.

How many milligrams of the vitamin are in the​ drink?
Mathematics
1 answer:
Anika [276]3 years ago
4 0
Answer:
58.5 mg

Step-by-step explanation:

Drink: 130% of RDA of vitamin X
RDA vitamin X = 45mg
130% of 45 = mg in the drink
130% = 130/100 = 1.3
130% of 45 = 1.3*45 = 58.5

So, this new drink has 58.5 mg of vitamin
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What is the scale factor from polygon ABCD to polygon PQRS??
deff fn [24]

Scale factor is defined as a number which multiplies or scales some quantity.

The shape of the figure remains same, the image  becomes larger or smaller.

If the scale factor is greater than one, then the image is enlarged.

If the scale factor is less than 1 but greater that 0, then the image becomes smaller.

In the above image,  AD = 2 units.

It's corresponding side PS =  3 units

Similarly AB = 1 unit and PQ = 1.5 units

Hence , 1 * 1.5 = 1.5

2*1.5 = 3

Hence, the scale factor of the given image is 1.5 ... Answer

7 0
3 years ago
F(x)=x²-3 tell whether the function is quadratic or not?​
Misha Larkins [42]

Answer:

state whether this function is quadratic? why or why not?

f(x) = - 3(x - 2)(x + 3)(x + 5)

7 0
2 years ago
39-50 find the limit.<br> 41. <img src="https://tex.z-dn.net/?f=%5Clim%20_%7Bt%20%5Crightarrow%200%7D%20%5Cfrac%7B%5Ctan%206%20t
Katyanochek1 [597]

Write tan in terms of sin and cos.

\displaystyle \lim_{t\to0}\frac{\tan(6t)}{\sin(2t)} = \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)}

Recall that

\displaystyle \lim_{x\to0}\frac{\sin(x)}x = 1

Rewrite and expand the given limand as the product

\displaystyle \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)} = \lim_{t\to0} \frac{\sin(6t)}{6t} \times \frac{2t}{\sin(2t)} \times \frac{6t}{2t\cos(6t)} \\\\ = \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right)

Then using the known limit above, it follows that

\displaystyle \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right) = 1 \times 1 \times \frac3{\cos(0)} = \boxed{3}

4 0
2 years ago
A baseball collector took inventory of all of his baseball cards along with the value of each card. The box plot represents the
love history [14]

Answer: less than 25%

Step-by-step explanation:

The box plot can be read as follows:

The first black dot is the minimum value.

The first half of the rectangle is the lower quartile.

The line that separates the two rectangles is the median.

The second half of the rectangle is the upper quartile

The final point is the maximum.

Knowing that each quartile represents about the 25% of the elements for the set, we can see that both lower and upper quartile (and the 25% of the elements that come after the upper quartile) cost more than $45.

Then we know that at least the (25% + 25% + 25%) = 75% of the cards in the collection cost more than $45.

And we also have elements that are not in the lower quartile that cost more than $45, but we can not determine the percentage that they represent.

So we can only conclude that more than the 75% of the collection costs more than $45.

Now we want to know the percentage of the baseball cards valued at less than $45.

So if more than 75% is valued at more than $45.

Then less than 25% is valued at less than $25.

8 0
3 years ago
A woman is randomly selected from the 18-24 age group. For women of this group, systolic blood pressures (in mm Hg) are normally
dybincka [34]

Answer:

0.0274

Step-by-step explanation:

The mean is \mu =114.8 and the standard deviation is \sigma =13.1.

Calculate

Z=\dfrac{X-\mu}{\sigma}

for X=140:

Z=\dfrac{140-114.8}{13.1}\approx 1.9237.

If X\sim N(114.8,\ 13.1), then Z\sim N(0,1)

and

Pr(X>140)=Pr(Z>1.9237).

Use table for normal distribution probabilities to get that

Pr(Z>1.9237)=1-Pr(Z\le 1.9237)=1-0.9726=0.0274.

7 0
3 years ago
Read 2 more answers
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