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4 years ago

A ball is thrown from a height of

Mathematics

2 answers:

mel-nik [20]4 years ago

8 0

17+x9x13 =428is 5-8h34z

coldgirl [10]4 years ago

5 0

Answer:

2.45 seconds

Step-by-step explanation:

A ball is thrown from a height of 123 ft

Thus, $h_0=123\ ft$

Initial velocity, $u=-11\ ft/s$

Acceleration due to gravity downwards, $g=-32\ ft/s^2$

The ball's height h (in feet) after t seconds is given by,

$h=-11t-16t^2+123$

When ball hit the ground, h=0

$0=-11t-16t^2+123$

$16t^2+11t-123=0$

Using quadratic formula,

$t=\dfrac{-11\pm\sqrt{11^2-4(16)(-123)}}{2(16)}$

$t=-3.14,2.45$

Time can't be negative.

So, t=2.45 seconds

Hence, After 2.45 seconds ball hit the ground.

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Cora is using successive approximations to estimate a positive solution to

Advocard [28]

Um...... what......?

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4 years ago

Solve for variable y answer in simplest radical form

ASHA 777 [7]

Answer:

option A

Step-by-step explanation:

option A y = 9√3 is the correct answer .

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cos 30 = y /18

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4 0

3 years ago

QUESTION 1

Kitty [74]

It's difficult to make out what the force and displacement vectors are supposed to be, so I'll generalize.

Let θ be the angle between the force vector F and the displacement vector r. The work W done by F in the direction of r is

W = F • r cos(θ)

The cosine of the angle between the vectors can be obtained from the dot product identity,

a • b = ||a|| ||b|| cos(θ) ==> cos(θ) = (a • b) / (||a|| ||b||)

so that

W = (F • r)² / (||F|| ||r||)

For instance, if F = 3i + j + k and r = 7i - 7j - k (which is my closest guess to the given vectors' components), then the work done by F along r is

W = ((3i + j + k) • (7i - 7j - k))² / (√(3² + 1² + 1²) √(7² + (-7)² + (-1)²))

==> W ≈ 5.12 J

(assuming F and r are measured in Newtons (N) and meters (m), respectively).

3 0

3 years ago

Suppose that you earned a bachelor's degree and now you're teaching high school. The school district offers teachers the oppor

harkovskaia [24]

Answer:

A ) The Amount which will be saved after five years is $ 5742.4

B ) The compound Interest is $ 1742.4

Step-by-step explanation:

The Principal deposited at the end of each year = $ 4000

The rate of interest = 7.5 % compounded annually

The time period = 5 years

From compounded method :

Amount = principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

or, Amount = $ 4000 × $(1+\dfrac{\textrm 7.5}{100})^{\textrm 5}$

Or, Amount = $ 4000 × $(1.0075)^{5}$

or, Amount = $ 4000 × 1.4356

∴ Amount = $ 5742.4

A ) The Amount which will be saved after five years is $ 5742.4

B ) The compound Interest = Amount - principal

Or, C I = $ 5742.4 - $ 4000 is $ 1742.4 Answer

8 0

3 years ago

If the base is 4, what is the value if the exponent is 2? What if the exponent is -2?

Vikentia [17]

Answer:

In the world of exponents, 4 is the number being raised by the exponent, which is 2.

Let's answer the first question:

If the base is 4, what is the value if the exponent is 2?

The base is 4 and the exponent is 2. We would multiply 4 two times.

$4^2= 4*4 = 16$

So, it would be 16.

Let's answer the second question:

What if the exponent is -2?

This is the rule for negative exponents:

$a^{-x}=\frac{1}{a^x}$

Using this rule, we can solve $4^{-2}$ .

$4^{-2}= \frac{1}{4^2}=\frac{1}{16}$

So, our answer for the 2nd question is 1/16.

3 0

4 years ago