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3 years ago

7

the lightest zoo resident is a leaf cutter ant at 5 micrograms. the heaviest is a giraffe weighing 1,000 kilograms. about how ma

ny times heavier is the giraffe than the ant?

2 answers:

Kay [80]3 years ago

8 0

200 times. Because 1000 divided of 5 is 200. You could divide it using the algorithm.

yawa3891 [41]3 years ago

5 0

It would be 1 billion times bigger

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Verify that the roots of 5x²- 6x -2 = 0 are <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%20%2B%20%5Csqrt%7B19%7D%20%7D%7B5%7D%2

Mice21 [21]

Answer:

Proof below.

Step-by-step explanation:

<u>Quadratic Formula</u>

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

<u>Given quadratic equation</u>:

$5x^2-6x-2=0$

<u>Define the variables</u>:

a = 5
b = -6
c = -2

<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:

$\implies x=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(5)(-2)}}{2(5)}$

$\implies x=\dfrac{6 \pm \sqrt{36+40}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{76}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{4 \cdot 19}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{4}\sqrt{19}}{10}$

$\implies x=\dfrac{6 \pm2\sqrt{19}}{10}$

$\implies x=\dfrac{3 \pm \sqrt{19}}{5}$

Therefore, the exact solutions to the given <u>quadratic equation</u> are:

$x=\dfrac{3 + \sqrt{19}}{5} \:\textsf{ and }\:x=\dfrac{3 - \sqrt{19}}{5}$

Learn more about the quadratic formula here:

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3 0

1 year ago

Read 2 more answers

Help??????<br><br> i need steps

weqwewe [10]

Answer:

✌it sould be easy

Step-by-step explanation:

6 0

3 years ago

A helicopter hovers 500 feet above a small island. The figure shows that the angle of

Tamiku [17]

Answer:

435 ft

Step-by-step explanation:

Reference angle = <P = 49° (angle of elevation)

Opposite side = 500 ft

Adjacent side = d = ?

Apply trigonometric function, TOA.

This:

Tan P = opp/adj

Tan 49 = 500/d

d × Tan 49 = 500

d = 500/Tan 49

d = 434.643369 ≈ 435 ft (to the nearest foot)

6 0

2 years ago

The formula to find the surface area of a cube is 6s to the power of 2, where s stands for the side length of the cube. What is

gladu [14]

The surface area of the cube is 600cm^2.

6(10^2)
6(100)
600

3 0

3 years ago

2. Irene wants to list the factors for 88. She

kati45 [8]

Answer:

Yes

Step-by-step explanation:

2•44=88

4•22=88

8•11=88

4 0

3 years ago

Read 2 more answers