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atroni [7]
3 years ago
6

To receive a grade of A on an 80-question test, 90% of the questions must be answered correctly. What is the maximum number of q

uestions that can be missed to still receive an A?
Mathematics
1 answer:
marta [7]3 years ago
8 0

Answer:

The answer would be 8.

Step-by-step explanation:

This is a percentage question, and I have struggled with these before but this is the <em>easiest</em> way to solve it given these certain criteria.

Alright, so it's given that:

A) 90%= an A grade

and

B) This is an 80-question test.

Given these, we can do the following:

90% times 80, which equals <em>72</em>.

Just to check, we know that to convert percentages to fractions, we move the decimal two spots to the left, therefore 90%= 0.90, or 0.9. We take 72 and divide it by 80, and we get 0.9, thus showing that it is correct.

Then, we do 80-72 and using simple math we get 8.

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What would happen if a proton were added to the nucleus of the atom? (Check all
Hunter-Best [27]

Answer:

A. It would become a different atom.

C. Its charge would increase by 1

Step-by-step explanation:

Adding or removing protons from the nucleus changes the charge of the nucleus and changes that atom's atomic number. So, adding or removing protons from the nucleus changes what element that atom is! For example, adding a proton to the nucleus of an atom of hydrogen creates an atom of helium.

5 0
3 years ago
Does (-2)^n/( 3^n+1) converge or diverge?
hodyreva [135]
\left|\dfrac{(-2)^n}{3^n+1}\right|=\dfrac{2^n}{3^n+1}

As n\to\infty, the sequence a_n=\left(\dfrac23\right)^n converges to zero.

If you're talking about the infinite series

\displaystyle\sum_{n\ge0}\dfrac{(-2)^n}{3^n+1}

well we've shown by comparison that this series must also converge because we know any geometric series \sum\limits_n r^n will converge as long as |r|.
3 0
3 years ago
Mid#6 what kind of transformation converts the graph of
nexus9112 [7]

Answer:

the correct answer is x/9 and you graph it

5 0
3 years ago
Read 2 more answers
Which equation, when graphed, has x-intercepts at (8,0) and (-2, 0) and a y-intercept at (0, -48)?
n200080 [17]

Answer:

f(x)=-3(x-8)(x+2)

Step-by-step explanation:

f(8)=-3(8-8)(8+2)=-3×0×10=0

f(-2)=-3(-2-8)(-2+2)=-3×(-10)×0=0

f(0)=-3×(0+8)×(0+2)=-3×8×2=-48

4 0
2 years ago
Find the shaded sector and the length of the arc. Round to the nearest hundredth. ​
Dovator [93]

Answer:

Step-by-step explanation:

I'll show you how to do the first one; the other are exactly the same, so pay attention.

The formula for arc length is

AL=\frac{\theta}{360}*2\pi r where θ is the central angle's measure. It just so happens that the measure of the central angle is the same as the measure of the arc it intercepts. Our arc shows a measure of 40°; this measure is NOT the same as the length. Measures are in degrees while length is in inches, or cm, or meters, etc. Going off that info, our central angle measures 40°. Filling in the formula and using 3.1415 for π:

AL=\frac{40}{360}*2(3.1415)(3). I'm going to reduce that fraction a bit (and I'll use the same reduction in the Area of a sector coming up next):

AL=\frac{1}{9}*2(3.1415)(3) which makes

AL = 2.09 units. Now for Area of the Sector. The formula is almost identical, but instead uses the idea that the area of a circle is πr²:

A_s=\frac{\theta}{360}*\pi r^2 where θ is, again, the measure of the central angle (which is the same as the measure of the arc it intercepts). Filling in:

A_s=\frac{1}{9}*(3.1415)(3)^2 which simplifies a bit to

A_s=\frac{1}{9}*(3.1415)(9). As you can see, the 9's cancel each other out, leaving you with

A_s=3.14 units²

7 0
2 years ago
Read 2 more answers
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