In a certain country, a letter up to 1 ounce requires postage in the amount of $0.42, and each additional ounce (or fraction of an ounce) has an additional cost. The function below represents the cost of mailing one letter in this country.f(c)=0.42 + 0.20[x-1]

Josiah has two letters. The first weighs 2.9 ounces, and the second weighs 4.1 ounces. What is the total amount Josiah can expect to pay for postage?
$1.62
$1.64
$1.84

Answers

Answer 1

Answer:

Answer:

$1.84

Step-by-step explanation:

We are given that a letter up to 1 ounce requires postage in the amount of $0.42, and each additional ounce (or fraction of an ounce) has an additional cost.

The function which represents the situation:

$f(c)=0.42 + 0.20[x-1]$

Now Joseph has two letters .

The weight of first letter = 2.9 ounces

Cost of first letter = $0.42 + 0.20[2.9-1]$

= $0.8$

Now , second letter weighs 4.1 ounces

So, cost of second letter = $0.42 + 0.20[4.1-1]$

= $1.04$

Thus the total amount Josiah can expect to pay for postage = $0.8+$1.04

=$1.84

Hence the total amount Josiah can expect to pay for postage is $1.84

Answer 2

Answer:

Answer:

$1.84

Step-by-step explanation:

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The ending time is 10:08 and the elapsed time is 30 minutes what is the starting tome

Answers

Wouldn't you just count back 30 minutes from 10:08?
If you round up to 10:10, it's a little easier. Picture an analog clock in your head. Every big number is five minutes, and every two is ten minutes. If we put it back to the 12, that's ten minutes back. Twenty minutes earlier from that would be 9:40. Since we added two minutes to make it easier, we've got to subtract those two minutes. So, the starting time would be 9:38.
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I'm giving 50 points and brainliest answer to whoever can answer this... Please show your work so I can try to understand it xD <3

Answers

Ok, to solve this first you have to set up your proportion:

9/150=x/230

/ is a fraction

x= the number of vials it will take to treat 230 patients

in order to solve this, you have to cross multiply:

9 x 230= 2070

150 · x= 150x

so you get 150x=2070

then divide 2070 by 150

2070/150= 13.8

so it would take 13.8 vials of medicine to treat 230 patients

Okay, firstly, you want to work out how many people will 1 vial of malaria treat. So, you do this:

150 divided by 9= 16.6

That means for every 1 vial, 16.6 people are treated.

Since the question asks you to find out how many vials are needed if you're required to treat 230 people, you would do this:

230 divided by 16.6= 13.8

That means you need 13.8 vials to treat 230 people.

A baseball player hits a ball toward the outfield. The height h of the ball in feet is modeled by h(t) = -16t2 + 22t + 3, where t is the time in seconds. If no one catches the ball, how long will it stay in the air? (Round to the nearest tenth of a second and enter only the number.)HINTS:
• When the ball hits the ground, its height is zero, so you are looking for one of the zeros of the quadratic equation.
• Though you could use several different methods, the easiest way to solve this particular equation is the quadratic formula (provided here). Take the a, b, and c values from the function in the question above.
• When you solve the quadratic for the zeros, you will have two answers. One of the answers will not make sense for a baseball hit into the outfield. The one that does make sense will be the correct answer.

Answers

Solving this equation for the roots, we find that the roots are -1/8 and 3/2. Assuming that at t=0 is when the player hits the ball, t=0 and t=3/2 is the amount of time in the air. Therefore, the ball spent 3/2 seconds in the air, or 1.5 seconds.

Final answer:

The time that the baseball stays in the air is determined by setting h(t), the height, to 0 and solving for t (time) using the quadratic formula; the positive answer represents the time in seconds that the ball stays in the air.

Explanation:

In order to find how long the baseball will stay in the air, we need to solve for the value of t (time) when the height h(t) is equal to 0. This is given by the formula h(t) = -16t2 + 22t + 3. We equate this to zero and solve for t using the quadratic formula: t = [-b ± sqrt(b2 - 4ac)] / (2a).

Here, a = -16, b = 22, and c = 3. Substituting these values into the formula gives two solutions for t. However, we reject the negative solution since time cannot be negative. Therefore, the positive solution gives the amount of time (rounded to the nearest tenth of a second) the baseball stays in the air before it hits the ground.

Learn more about Quadratic Formula here:

brainly.com/question/32591097

#SPJ11

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