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4 years ago

What is 230 of 3/10?

1 answer:

4 0

230(310)=(2301)(310)=(230)(3)(1)(10)=69010=69

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a ball is thrown vertically upward from the ground with an initial velocity of 60 ft/sec. how high will the ball go?

vazorg [7]

Answer:

The ball will go to maximum height of 56.25 meters.

Step-by-step explanation:

It is given that, a ball is thrown vertically upward from the ground. Initial velocity of the ball, v = 60 ft/sec

Initial height is 0 as the ball is thrown from ground. The equation of projectile is given by :

$h(t)=-16t^2+vt+h$

h = 0

$h(t)=-16t^2+60t$ ..............(1)

We need to find the maximum height reached by the ball. For maximum height,

$\dfrac{dh(t)}{dt}=0$

$\dfrac{d(-16t^2+60t)}{dt}=0$

t = 1.875 seconds

Put the values of t in equation (1). So,

$h(t)=-16(1.875)^2+60(1.875)$

h(t) = 56.25 meters

So, the ball will go to maximum height of 56.25 meters. Hence, this is teh required solution.

3 0

3 years ago

A large rectangle has length a + b and width c + d. Therefore, its area is (a + b)(c + d).

melamori03 [73]

Answer:

The area of four small rectangles are ac, bc, ad and bd.

6 0

4 years ago

In a certain town in the united states, 40% of the population are democrats and 60% are republicans. The municipal government ha

mixer [17]

Answer:

(a) 0.48, (b) 0.625, (c) 0.1923

Step-by-step explanation:

First define

Probability a person is a democrat: P(D) = 0.4

Probability a person is a republican: P(R) = 0.6

Probability a person support the measure given that the person is a democrat: P(SM | D) = 0.75

Probability a person support the measure given that the person is a republican: P(SM | R) = 0.3

Now for the Theorem of total probabilities we have

(a) P(SM) = P(SM | D)P(D)+P(SM | R)P(R) = (0.75)(0.4)+(0.3)(0.6) = 0.48

and for the Bayes' Formula we have

(b) P(D | SM) = P(SM | D)P(D)/[P(SM | D)P(D)+P(SM | R)P(R)] = (0.75)(0.4)/0.48 = 0.625

Now let SMc be the complement of support the measure, i.e.,

P(SMc | D) = 0.25 : Probability a person does not support the measure given that the person is a democrat

P(SMc | R) = 0.7: Probability a person does not support the measure given that the person is a republican,

and also for the Bayes' Formula we have

(c) P(D | SMc) = P(SMc | D)P(D)/[P(SMc | D)P(D)+P(SMc | R)P(R)] = (0.25)(0.4)/[(0.25)(0.4)+(0.7)(0.6)] = 0.1/(0.52)=0.1923

4 0

3 years ago

-x+y= -2

Zepler [3.9K]

Answer:

parallel

Step-by-step explanation:

-5( -x+y)=-2(-5)

5x-5y=10

8 0

4 years ago

A pathway divides a rectangular garden into two parts as shown. Find the measure of angle A

frosja888 [35]

Answer:

m < A = 101 degrees.

Step-by-step explanation:

The transverse line crosses 2 parallel lines (opposite angles of a rectangle are parallel) , so the same side angles add up to 180 degrees.

m < A + 79 = 180

m < A = 101 degrees.

4 0

3 years ago

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