What is the slope of the line that contains these points?

A scuba diver is 23 feet below sea level.A second diver is 7 feet closer to the surface. What integer represents the second scub

NeTakaya

Answer:

The integer is -16

Step-by-step explanation:

The first scuba diver is 23 feet below sea level. THe second is 7 feet closer.

23 - 7 = 16. He is still under sea level, so it would be -16

6 0

3 years ago

Determine (without solving the problem) an interval in which the solution of the given initial value problem is certain to exist

yuradex [85]

Answer:

0 < t < 5 is the required interval for the differential equation (t - 5)y' + (ln t)y = 6t to have a solution.

Step-by-step explanation:

Given the differential equation

(t - 5)y' + (ln t)y = 6t

and the condition y(1) = 6

We can rewrite the differential equation by dividing it by (t - 5) as

y' + [(ln t)/(t - 5)]y = 6t/(t - 5)

(ln t)/(t - 5) is continuous on the interval (0, 5) and (5, +infinity).

6t/(t - 5) is continuous on (-infinity, 5) and (5, +infinity)

We see that for these expressions, we have continuity at the intervals (0, 5) and (5, +infinity).

But the initial condition is y = 6, when t = 1.

The solution to differential equation is certain to exist at (0, 5)

Which implies that

0 < t < 5

is the required interval.

3 0

4 years ago

Help fast I need real answers thanks

BaLLatris [955]

What is the question?

4 0

3 years ago

Read 2 more answers

Please do the agree or disagree part and justification

Jlenok [28]

Answer:

<em>We disagree with Zach and Delia and agree with Alicia</em>

Step-by-step explanation:

The domain of a function is the set of values of the independent variable that the function can take according to given rules or restrictions.

The range is the set of values the dependent variable can take for every possible value of the domain.

The graph shows a continuous line representing the values of the function. We must take a careful look to the values of x (horizontal axis) where the function exists. It can be done by drawing an imaginary vertical line passing through the value of x. If that line touches the graph of the function, it belongs to the domain. It's clear that every value of x between -5 and 3 (both inclusive because there are solid dots in the extremes) belong to the domain:

Domain: $-5\leq x \leq 3$

The range is obtained in a similar way as the domain, but the imaginary lines must be horizontal. That gives us the values of y range from -7 to 5 both inclusive:

Range:

$-7\leq y \leq 5$

Thus we disagree with Zach and Delia and agree with Alicia

8 0

3 years ago

Which of the following shows 9x^2y - 4x + 3y^3x - 2y^2 written in standard form? A. 9x2y - 4x + 3y3x - 2y2 B. 3y3x - 2y2 + 9x2y

nlexa [21]

D. $3 y^{3}x+9 x^{2} y-2 y^{2} -4x$

Take each term and find the degree of the term and then put them in order from highest to lowest:
$y^{3}x=3+1=4$
$x^{2} y=2+1=3$
$y^{2}=2$
x=1

Remember a letter without an exponent is assumed to be a 1.

Hope that helps.

6 0

3 years ago