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2 years ago

10

Jim drove 204 miles in 4 hours. If he can keep the same pace how long will it take him to drive 918 miles

1 answer:

SSSSS [86.1K]2 years ago

6 0

18 hours.

Proportions and stuff.

$\frac{204}{4}$ = $\frac{918}{x}$

Cross multiply,

204x = 918 * 4

204x = 3672
/204 /204
x = 18

18 hours.

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Can someone explain this please???

xeze [42]

A function is a rule that assigns exactly one output to a given input. The input is taken from a set called the domain, and the corresponding output belongs to a set called the range.

1. In this exercise, we're calling the pool of patients 1-8 the domain, and the pool of nurses A-D the range. The given table describes a function because any patient is assigned to only one nurse.

2. This wouldn't be a function if at least one patient was assigned to more than one nurse. If this were to happen in practice, the patient could be, say, given the same dose of some medicine twice if the nurses aren't careful.

3. Making the nurse pool the domain and the patient pool the range would give a relation that is not a function, since more than one patient is assigned to one nurse.

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3 years ago

Olivia planted 25 tomato plants, but only produced 20 tomatoes. What percentage of plants produce tomatoes?

solmaris [256]

Answer:

It would be 5.

Step-by-step explanation:

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3 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y

Yuri [45]

Let the curve C be the intersection of the cylinder

$16x^2+y^2=16$

and the plane

$x+y+z=1$

The projection of C on to the x-y plane is the ellipse

$16x^2+y^2=16$

To see clearly that this is an ellipse, le us divide through by 16, to get

$\frac{x^2}{1}+ \frac{y^2}{16}=1$

or

$\frac{x^2}{1^2}+ \frac{y^2}{4^2}=1$ ,

We can write the following parametric equations,

$x=cos(t), y=4sin(t)$

for

$0\le t \le 2\pi$

Since C lies on the plane,

$x+y+z=1$

it must satisfy its equation.

Let us make z the subject first,

$z=1-x-y$

This implies that,

$z=1-sin(t)-4cos(t)$

We can now write the vector equation of C, to obtain,

$r(t)=(cos(t),4sin(t),1-cos(t)-4sin(t))$

The length of the curve of the intersection of the cylinder and the plane is now given by,

$\int\limits^{2\pi}_0 {|r'(t)|} \, dt$

But

$r'(t)=(-sin(t),4cos(t),sin(t)-4cos(t))$

$|r'(t)|=\sqrt{(-sin(t))^2+(4cos(t))^2+(sin(t)-4cos(t))}$

$\int\limits^{2\pi}_0 {\sqrt{2sin^2(t)+32cos(t)-8sin(t)cos(t)} }\, dt=24.08778184$

Therefore the length of the curve of the intersection intersection of the cylinder and the plane is 24.0878 units correct to four decimal places.

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3 years ago

At an opening of a new art gallery the owner hired a caterer to serve light snacks. The owner created a budget for 150 people to

Vsevolod [243]

Answer: $357 is more amount budgeted for food increase.

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Since we have given that

Number of people according to the budget = 150

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Total cost of food is given by

$150\times 4.25=\$637.5$

If the number of guests attending the opening was 56% more than expected,

So, number of guests now is given by

$150\times 0.56=84\\\\150+84=234$

Total cost of food is given by

$234\times 4.25=\$994.5$

Difference between them is given by

$994.5-637.5=\$357$

Hence, $357 is more amount budgeted for food increase.

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3 years ago

A rectangular swimming pool is 15 meters long, 13 1 2 meters wide, and 1 1 2 meters deep. What is its volume?

Helga [31]

Answer: 1439

Step-by-step explanation:

Volume= Length* breadth* height

= 15*1312*112

= 1439

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2 years ago