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3 years ago

6

Square root of seven

2 answers:

SashulF [63]3 years ago

7 0

Answer:

Decimal: 2.645751

Step-by-step explanation:

-Dominant- [34]3 years ago

6 0

2.64575131106 is the answer

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The time t required to travel a fixed distance varies inversely as the speed r. it takes 5h to drive the fixed distance at a spe

Pavel [41]

Let t be time and r be rate, then if time varies inversely with the rate, the equation is $t= \frac{k}{r}$ . If it takes 5 hours to drive a fixed distance at a rate of 80, we can sub those values in to solve for the constant of variation, k. $5= \frac{k}{80}$ . Solve for k by multiplying 5 and 80 to get that k = 400. Now let's find a new time t when r is a rate of 70. We will use that k value to do this: $t= \frac{400}{70}$ and find that it will take 20 hours to drive the distance at 70 mph when it takes 5 hours to drive the distance at 80 mph. Makes sense that it takes longer to drive a fixed distance when you are going slower.

7 0

4 years ago

I need help please!!! My teacher doesn't teacher and she has asked us to do a problem I don't know how to do it. Can somebody ex

ra1l [238]

Using exponential functions, it is found that:

a) Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.

b) The patient could have ingest 231 milligrams of caffeine.

A decaying <em>exponential function</em> is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

A(0) is the initial value.
r is the decay rate, as a decimal.

In this problem:

Caffeine metabolize at a rate of 13% per hour, hence $r = 0.13$ .

Then:

$A(t) = A(0)(1 - r)^t$

$A(t) = A(0)(1 - 0.13)^t$

$A(t) = A(0)(0.87)^t$

Item a:

The coffee cup contains 150 milligrams of caffeine, hence $A(0) = 150$ .

At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).

$A(t) = A(0)(0.87)^t$

$A(8) = 150(0.87)^8$

$A(8) = 49.2$

Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.

Item b:

This A(0), considering <u>A(11) = 50</u>, hence:

$50 = A(0)(0.87)^{11}$

$A(0) = \frac{50}{(0.87)^{11}}$

$A(0) = 231$

The patient could have ingest 231 milligrams of caffeine.

A similar problem is given at brainly.com/question/25537936

3 0

2 years ago

Problem 1<br> 3x + y = –14<br> -2x-y=9

Radda [10]

Answer:

x = -5 , y = 1

Step-by-step explanation:

Solve the following system:

{3 x + y = -14 | (equation 1)

-2 x - y = 9 | (equation 2)

Add 2/3 × (equation 1) to equation 2:

{3 x + y = -14 | (equation 1)

0 x - y/3 = (-1)/3 | (equation 2)

Multiply equation 2 by -3:

{3 x + y = -14 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract equation 2 from equation 1:

{3 x+0 y = -15 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 3:

{x+0 y = -5 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = -5 , y = 1

3 0

3 years ago

What is 1/24 time 360 degrees?

OlgaM077 [116]

Answer:

15 degrees

Step-by-step explanation:

Cancel the common factor of 24.

3 0

3 years ago

Read 2 more answers

The solutions to the inequality y ≤ 2x − 4 are shaded on the graph. Which point is a solution?

I am Lyosha [343]

Answer:

it's the point (3, 2)

Step-by-step explanation:

Plug in 3 into x and plug in 2 into y. You will get 2≤2(3)-4. This ends up equalling 2≤2. THis is the answer cuz 2 is equal to or less than 2. :)

8 0

3 years ago