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3 years ago

18, 7 The LCM of 18 and 7 is

Mathematics

1 answer:

Korvikt [17]3 years ago

4 0

Answer:

126

Step-by-step explanation:

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A bird sees a worm on the ground 50 m. below. The bird dives for the worm at a speed of 6 m/sec. The function h\left( t \right)

iragen [17]

Given:

The height of the bird at time t is given by the function $h(t)=-4.9t^2+6t+50$

We need to determine the time it takes the worm to be eaten by the bird.

Time taken:

The time can be determined by substituting h(t) = 0 in the function.

Thus, we have;

$0=-4.9t^2+6t+50$

Switch sides, we get;

$-4.9t^2+6t+50=0$

Let us solve the equation using the quadratic formula.

Thus, we get;

$t=\frac{-6 \pm \sqrt{6^{2}-4(-4.9) 50}}{2(-4.9)}$

Simplifying, we get;

$t=\frac{-6 \pm \sqrt{36+980}}{-9.8}$

$t=\frac{-6 \pm \sqrt{1016}}{-9.8}$

$t=\frac{-6 \pm 31.87}{-9.8}$

The values of t are given by

$t=\frac{-6 + 31.87}{-9.8}$ and $t=\frac{-6 - 31.87}{-9.8}$

$t=\frac{25.87}{-9.8}$ and $t=\frac{-37.87}{-9.8}$

$t=-2.4$ and $t=3.9$

Since, the value of t cannot be negative, then $t=3.9$

Thus, the time taken by the bird to eat the worm is $t=3.9$ seconds.

Hence, Option B is the correct answer.

5 0

3 years ago

Simplify (-x^2 – 28x + 7) + (-7x^2 + 14x + 8).

Anon25 [30]

Add numbers with the same amount of variables

-x^2 + (-7x^2) = -8x^2

– 28x (+ 14x )= -14x

7 (+ 8) = 15

-18x² - 14x + 15 is your answer

hope this helps

6 0

3 years ago

Ellie earns money by raking leaves. She earns $2.25 for each bag she fills with leaves. This week, she earns $24,75. How many ba

Pepsi [2]

Answer:

she raked 11 bags of leaves

Step-by-step explanation:

24.75 divided by 2.25= 11

8 0

2 years ago

Given that 5 x − 3 y = 32 Find y when x = 4

ollegr [7]

Answer:

Solution,

X=4

Now,

 $5x - 3y = 32 \\ or \: 5 \times x - 3y = 32 \\ or \: 5 \times 4 - 3y = 32 \\ or \: 20 - 3y = 32 \\ or \: - 3y = 32 - 20 \\ or \: - 3y = 12 \\ or \: y = - \frac{12}{ 3} \\ y = - 4$ 

Hope this helps...

Good luck on your assignment..

4 0

3 years ago

Read 2 more answers

you deposit 100$ each month into an account earning 8% interest compounded monthly. How much will you have in the account in 15

pickupchik [31]

Use the exponential function of f(x)= 100x times (1.08)^2

7 0

4 years ago