Answer:
y > -x -3
Step-by-step explanation:
The graph is shaded <em>above</em> the <em>dashed</em> line, indicating y-values in the solution are greater than those on the line, so your inequality will start with ...
y >
The y-intercept of the line is (0, -3), so the "b" value in ...
y > mx +b
will be -3.
The line has a rise of -3 for a run of 3 (between the marked points), so the slope is ...
m = rise/run = -3/3 = -1
Then the inequality you want is ...
y > -x -3
The volume of the fish tank is 408 in³
To solve the volume of the fish tank, we need to understand what is the volume of plane shapes.
<h3>What is the volume of plane shapes?</h3>
The volume of plane shapes resembles a 3-dimensional space showing the area enclosed by the shape.
From the figure given:
The figure can be differentiated into two shapes;
The volume of the rectangle is known as:
- = Length × Breadth
- = 7 inches × 6 inches
- = 42 inches²
The volume of the triangle is:
- = 1/2 × base × height
- = 1/2 × 3 × 6
- = 9 inches²
The total volume of the base of the fish tank now is:
- = 42 inches² + 9 inches²
- = 51 inches²
Now, the volume of the fish tank is:
- = Height × base of the fish tank
- = 8 inches × 51 inches²
- = 408 in³
Learn more about the volume of plane shapes here:
brainly.com/question/20475473
Answer:

Step-by-step explanation:
The multiplicative inverse of a number n is 
The product of the number and its multiplicative inverse = 1
n ×
= 1
Thus the multiplicative inverse of
is
= 
Answer:
29 Minutes
Step-by-step explanation:
The original speed is given in miles per hour (like a car), but the answer is asking for miles per minute, so we must convert the speed into miles per minute first. To do this, we set up this equation:
which equals
. We can then divide the desired number of miles by the speed in miles per minute. Here is the eqaution for this
. The miles cancel and you are just left with 29.1 minutes after you divide 4.9 by 0.168333333. Hope this helps!
Answer:

So then after 2 hours we will have 32 grams.
Step-by-step explanation:
For this case we have the followin exponential model:

n(t) is the quantity after t hours, n is the original quantityand t represent the hours and r the rate constant.
For this case we know that n(0) = 2 grams and n(3) = 128 grams and we want to find n(2)=?
From the initial condition we know that n = 2, and we have the model like this:

Now if we apply the other conditionn(3) = 128 we got:

If we divide both sides by 2 we got:

If we apply natural log for both sides we got:


And our model is this one:

And if we replace t = 2 hours we got:

So then after 2 hours we will have 32 grams.