What does 40 divided by 1+3-(3x7)+7-5 equal?

Consider the initial value problem 2ty′=4y, y(1)=−2. 2ty′=4y, y(1)=−2. find the value of the constant cc and the exponent rr so

vlada-n [284]

We solve the problem by means of the method of separation of variables.
We have then:
2ty '= 4y
2t (dy / dt) = 4y
t (dy / dt) = 2y
(dy / y) = 2 (dt / t)
integrating both sides:
int (dy / y) = 2int (dt / t)
Ln (y) = 2Ln (t) + c
exp (Ln (y)) = exp (2Ln (t) + c)
exp (Ln (y)) = exp (Ln (t ^ 2) + c)
exp (Ln (y)) = exp (Ln (t ^ 2)) * exp (c)
y = c * t ^ 2 ---> y (1) = - 2.
-2 = c * (1) ^ 2
c = -2
then:
y = -2 * t ^ 2
answer:
c = -2
r = 2

4 0

2 years ago

What is the center of a circle with the equation (x − 6)2 + (y + 2)2 = 9?

dedylja [7]

Answer:

centre = (6, - 2 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 6)² + (y + 2)² = 9 ← is in standard form

with (h, k ) = (6, - 2 ) ← centre

4 0

2 years ago

You want to find out whether caffeine mitigates the effect of alcohol on reaction time. To study this, you administer to your su

Ymorist [56]

Answer:

First Question

lower limit of 9 mph $j = 8.5 \ mph$

upper limit of 9 mph $q = 9.5 \ mph$

Second Question

lower limit of 120 pounds is $i = 119.9 \ pounds$

upper limit of 120 pounds is $l = 120.1 \ pounds$

Third Question

lower limit of 187 pounds is $a = 186.75 \ pounds$

upper limit of 187 pounds is $b = 187.25 \ pounds$

Step-by-step explanation:

From the question we are told that

The amount of beer administered is three 12-ounce beers

The amount of coffee administered is two cups of coffee

The speed limit is 60-mph

The smallest unit of scale is 1 mph

The first subject scores 9 mph

Generally given that the smallest unit of scale is 1 mph then the deviation of 9 mph will be by $\frac{1}{2} \ mph$

Hence the lower limit of 9 mph is

$j = 9 - 0.5$

$j = 8.5 \ mph$

And the upper limit of 9 mph is

$q = 9 + 0.5$

$q = 9.5 \ mph$

Generally given that the measuring weight on a scale that is accurate to the nearest 0.2 pound then 120 pounds will deviate by $\frac{1}{0.2} \ pounds$

Hence the lower limit of 120 pounds is

$i = 120 - 0.1$

$i = 119.9 \ pounds$

And the upper limit of 120 pounds is

$l = 120 + 0.1$

$l = 120.1 \ pounds$

Generally given that the measuring weight on a scale that is accurate to the nearest 0.5 pound then 187 pounds will deviate by $\frac{1}{0.5} \ pounds = 0.25 \ pounds$

Hence the lower limit of 120 pounds is

$a = 187 - 0.25$

$a = 186.75 \ pounds$

And the upper limit of 120 pounds is

$b = 187 + 0.25$

$b = 187.25 \ pounds$

5 0

3 years ago

How to find the perimeter?

Gemiola [76]

Answer:

39

Step-by-step explanation:

The angles are equal. This means that the triangle is equilateral and all the sides are equal to each other.

Set any two sides equal to each other.

2x - 3 = x + 5

x - 3 = 5

x = 8

Now substitute this x value into all the sides and add the numbers up.

2(8) - 3 = 16 - 3 = 13

So we know all 3 sides equal 13.

13 * 3 = 39

8 0

2 years ago

chef daniels places her favorite recipes in a bag for 4 pasta dishes, 5 casseroles, 3 types of chili, and 8 desserts. If Chef Da

pishuonlain [190]

Answer:

1/10

Step-by-step explanation:

5/20 x 8/20 = 1/10

5 0

2 years ago