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Komok [63]
2 years ago
12

Determine whether quantities vary directly or inversely and find the constant of variation. A teacher grades 25 students essays

in 4 hours. Assuming he grades at the same speed, how long will it take him to grade 35 essays?
Mathematics
1 answer:
Lesechka [4]2 years ago
8 0
IDK the constant and quantities...
First, find how many hours it takes for him to grade 1 essay, 0.16. Then multiply that by 35 to get 5.6.
I hope this is right -_-'
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The function f(x) = −x2 − 9x + 10 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in
mote1985 [20]

Answer:

Zeros of a function: x = 1 and x = -10

Step-by-step explanation:

A zero of a function is the value of x when f(x) = 0. In other words it is the intersect point between x and y=f(x), when y =0.

First we need to make f(x)=0, so we would have: -x^{2}-9x+10=0.

If we factorize this quadratic function, we would have: (x+10)(x-1)=0

So we get x = -10 and x = 1.

  • x = 1 means that the diver hits the water 1 foot away horizontally from the board.
  • x=-10 means the diver hits the water 10 feet behind the diving board.

Hope it helps!

4 0
3 years ago
After substituting, what is the first operation performed when evaluating 5 + (9 x minus 3) divide 2 for x = 5? addition multipl
ludmilkaskok [199]

Answer:

<h2>Multiplication.</h2>

Step-by-step explanation:

The given expression is

5+(9x-3) \div 2

For x=5, we have

5+(9(5)-3) \div 2

Notice that the first operation we need to do is multiplication, because that's the right order of operations when we solve these kind of expressions.

5+(45-3) \div 2

Then, we subtract

5+42 \div 2

Now, we divide

5+21

Finally, we sum

26

Therefore, the right answer is multiplication.

4 0
2 years ago
Read 2 more answers
Evaluate the expression |-16|-|-2|
DIA [1.3K]
<h2>Answer:</h2><h2>14</h2><h2></h2><h2>Hope this helps!!</h2>

5 0
2 years ago
Read 2 more answers
The area of the regular pentagon is 6.9 cm2. What is the perimeter? 2 cm 5 cm 10 cm 20 cm
disa [49]

Given

Area of the regular pentagon is 6.9 cm².

Find out the perimeter of a regular pentagon

To proof

Formula

Area of regular pentagon is

= \frac{1}{4}\sqrt{5(5+2\sqrt{5})}\ a^{2}

As given in the question

area of regular pentagon = 6.9 cm²

now equating the area value with the area formula.

6.9 =\frac{1}{4}\sqrt{5(5+2\sqrt{5})} a^{2}

Now put

√5 = 2.24 ( approx)

put in the above equation

\frac{6.9\times 4}{\sqrt{5(5+2\times2.24)}}=a^{2}\\\frac{27.6}{\sqrt{47.4}}=a^{2}\\\frac{27.6}{6.88}=a^{2}

thus

a² = 4.01

a = √ 4.01

a = 2.0 cm ( approx)

As perimeter  represented the sum of all sides.

i.e regular pentagon have five sides of equal length.

Thus

perimeter of the regular pentagon = 5 × side length

                                                         = 5 ×2.00

therefore the perimeter of the regular pentagon = 10cm

option c is correct

Hence proved









3 0
3 years ago
Read 2 more answers
A field goal kicker makes 2 of every 5 attempts at a field goal. If he kicks 3 field goals in a certain game, what is the probab
Murljashka [212]
Probability that he makes a goal =2/5
probability that he kicks 3 in 3 = (2/5)*(2/5)*(2/5)
= 8/125.
8 0
2 years ago
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