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Anastaziya [24]
3 years ago
10

If f(x)=-x2(power of ) -5x+18, what is f(-5) a.18 b.68 c. -18 d. -68 e. none of these

Mathematics
1 answer:
djverab [1.8K]3 years ago
5 0

Answer:

As

  • f(-5)=18

Hence, the option 'a' is true.

Step-by-step explanation:

Given the expression

f\left(x\right)=-x^2-5x+18

Putting x = -5 in the expression

f\left(-5\right)=-\left(-5\right)^2-5\left(-5\right)+18

          =-\left(-5\right)^2+5\cdot \:5+18

          =-5^2+5\cdot \:5+18

          =-5^2+25+18

          =43-5^2

          =43-25

          =18

Therefore,

  • f(-5)=18

Hence, the option 'a' is true.

       

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Find the area when the circumference is 50.24 cm
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Answer:

201

Step-by-step explanation:

C = 2pi.R

50.24/2pi = R

R= 8

area = pi R² = pi x 8² = 201

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2 years ago
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Mila [183]
77 percent is the correct answer
5 0
3 years ago
As a ship approaches the dock, it forms a 70 angle between the dock and the lighthouse. At the lighthouse, an 80 angle is formed
Trava [24]

Answer:

The distance from the ship to the dock is approximately 5.24 miles

Step-by-step explanation:

From the parameters given in the question, we have;

The angle formed between the dock and the lighthouse = 70°

The angle formed between the dock and the lighthouse at the ship = 80°

The distance between dock and the lighthouse = 5 miles (From a similar question online)

By sine rule, we have;

\dfrac{a}{sin(A)} = \dfrac{b}{sin(B)} = \dfrac{c}{sin(C)}

Therefore, we have;

\dfrac{5}{sin(70^{\circ})} = \dfrac{The \ distance \ from \ the \ ship \ to \ the \ dock}{sin(80^{\circ})}

\therefore The \ distance \ from \ the \ ship \ to \ the \ dock = sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})}

sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})} \approx 5.24 \ mi

Therefore;

The distance from the ship to the dock ≈ 5.24 miles

7 0
3 years ago
The convex polygon below has 7 sides. find the value of x
Brrunno [24]
The given convex polygon has 7 sides

Hence its sum of interior angles is given by the formula , (number of sides-2)x180°

=> (7-2) x 180°

=> 5 x 180°

=> 900°

The sum of all angles must be equal to 900°

The given six angles are :

139°,126°,106°,129°,141°,112° , x°

=> 139+126+106+129+141+112+x = 900°

=> 753 + x = 900

=> x = 900-753

=> x = 147°

Hence 147° is the required answer.
7 0
1 year ago
Read 2 more answers
The zookeeper starts with 100.75 pounds of food and tracks how much the otter eats and any food deliveries. What is the food sup
Airida [17]

Answer:

Part A

Eagle = 6 lbs * 60%

           = 6 * 0.6

           = 3.6 pounds

Bear = 105 lbs * 25%

         = 105 * 0.25

         = 26.25 pounds

3.6 + 26.25 = 29.85 pounds

Part B

Percent Increase = Change/Original * 100

                             = 10/105 * 100

                             = 9.52%

Step-by-step explanation:

hope this helps bye

8 0
3 years ago
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