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Luda [366]
3 years ago
10

Which of the following statements is true of -4 and 4? Select all that apply.

Mathematics
2 answers:
nlexa [21]3 years ago
5 0
They are opposites
They are the same distance from zero
lesantik [10]3 years ago
4 0

Answer:

they are a pair of zero

Step-by-step explanation:

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A circle has a circumfence of 3.14 units what is the diameter of this circle ?
Agata [3.3K]

Answer:

Step-by-step explanation:

4 0
3 years ago
According to the Rational Root Theorem, which number is a potential root of f(x) = 9x
MAVERICK [17]

Answer:

The answer is below....V

Step-by-step explanation:

Brainliest when you can if you will!!!!

5 0
3 years ago
3. In a single growing season at the Smith Family Orchard, the average yield per apple tree is 150 apples when the number of tre
g100num [7]

Answer:

<em><u>A.10000</u></em>

<em><u>B.25 more trees must be planted</u></em>

Step-by-step explanation:

⇒Given:

  • The intial average yield per acre y_{i} = 150
  • The initial number of trees per acre  t_{i} = 100
  • For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
  • Total yield = (number of trees per acre)*(average yield per acre)

<em>A.</em>

⇒If the total trees per acre is doubled , which means :

total number of trees per acre t_{f} = 2*t_{i} = 200

the yield will decrease by : t_{f} - y_{i}

y_{f}= 150-100= 50

⇒total yield = 50*200=10000

<em>B.</em>

⇒to maximize the yield ,

let's take the number of trees per acre to be 100+y ;

and thus the average yield per acre = 150 - y;

total yield = (100+y)*(150-y)\\=15000+50y-y^{2} \\

this is a quadratic equation. this can be rewritten as ,

     ⇒   =15000+50y-y^{2}\\=15000+625 - (625 - 50y +y^{2})\\=15625 - (y-25)^{2}

In this equation , the total yield becomes maximum when y=25;

<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>

                 

3 0
3 years ago
Which fraction and equivalent decimal correctly shows the ratio of shaded circles to all circles?
sergeinik [125]
Shaded circles = 4
Total circles = 12

\frac{shaded~circles}{total~circles} = \frac{4}{12}

\frac{4}{12} as a simplified expression = \frac{2}{6}
We can simplify it even more = \frac{1}{3}

Fraction = \frac{1}{3}

Equivalent decimal = 1 ÷ 3 = 0.33
3 0
3 years ago
Find the missing angles in the following triangles.
Bezzdna [24]

Answer:

Step-by-step explanation:

angles in triangle = 180

1. 180 - (70+45) = x = 65

2. x = 35

180 - 110 = 70

70/2 = 35 (isosceles triangle)

3. x = 113, y = 67

180 - (62 + 51) = y = 67

Angles on a line = 180

180 - 67 = x = 113

4. x = 60, y = 50

x = 180 - 120 = 60

y = 180 - (60 + 70) = 50

answers in degrees.

8 0
3 years ago
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