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Kitty [74]
3 years ago
9

To pass a course with an Upper A ​grade, a student must have an average of 90 or greater. A​ student's grades on three tests are

91​, 94​, and 89. Find what score the student must get on the next test to get an Upper A average.
Mathematics
1 answer:
kipiarov [429]3 years ago
3 0

Answer:

The student must get at least 86 in the next text in order to get an upper A average.

Step-by-step explanation:

The scores in the three tests are: 91, 94 and 89

The average score here is \frac{91 + 94 + 89}{3} = 91 (rounded off to nearest whole number)

In order to get an Upper A average after tackling the next test, the students total score in the four tests must be 90 × 4 = 360

Let's say the student scores x in the fourth test.

Then; 91 + 94 + 89 + x ≥ 360

274 + x  ≥ 360

x ≥ 360 - 274

x ≥ 86

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Answer:

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<h3><em><u>x=3 or x=-10</u></em> is the right answer.</h3>

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3 years ago
Mike and Thomas were making Lego towers. Mike stacked 249 Legos for his tower. Thomas had stacked twice as much as Mike. How man
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Answer:

498

Step-by-step explanation:

So,if mike stacked 249 legos and thomas did twice as much that means x2 so if you do 249 x2 you get 498.

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Greetings. As a beginner, I'm struggling a bit to learn calculus. May I know what is the derivative of x to the power 4 step by
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If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate x^4.

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\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x+h)^4 - x^4}h

Expand the numerator using the binomial theorem, then simplify and compute the limit.

\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}

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2 years ago
Alcatraz is 2.1 miles from the palace of fine arts. you are 1.3 miles east of the palace of fine arts. how far away are you from
sattari [20]

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Life f passes through points (1,14) and (10,10). Line g is perpendicular to f. What is the slope of line g
kolezko [41]

The slope of line g is 9/4.

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

The line f passes through points (1,14) and (10,10).

Line g is perpendicular to f.

<u>To find the slope of line f :</u>

The formula for slope is given by,

Slope = (y2-y2)/(x2-x1)

Here, The point (1,14) is (x1.y1) and (10,10) is (x2,y2).

⇒ (10-14) / (10-1)

⇒ -4 / 9

Therefore, the slope of line f is -4/9.

<u>To find the slope of line g :</u>

Since, the line g is perpendicular to f, the slope of g will be the negative reciprocal of slope of line f.

⇒ slope of g = - (1 / slope of f).

⇒ - (1 / (-4/9))

⇒ 9/4

∴ The slope of line g is 9/4.

7 0
3 years ago
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