Answer:
r = 4/3
Step-by-step explanation:
-20 = -15r
Divide both sides by -15.
-20 / -15 = r
The negatives cancel, so
20 / 15 = r
Simplify by taking 5 out of the numerator and denominator. 20/5 = 4, 15/5 = 3.
4 / 3 = r
<u>So r = 4/3.</u>
The rate at which his pulse is increasing after 3 minutes is 9.5 beats per minute
<h3>How to determine the beat rate after 3 minutes?</h3>
The given graph shows the curve and the tangent.
From tangent line, we have the following points:
(x,y) = (3,119) and (1,100)
The beat rate (m) at this point is:
So, we have:
Evaluate the differences
Evaluate the quotient
m = 9.5
Hence, the rate at which Sam's pulse is increasing after 3 minutes is 9.5 beats per minute
Read more about rates of tangent lines at:
brainly.com/question/6617153
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Answer:
<h3>
1) 7x - 5
</h3><h3>
2) 9y - 18
</h3><h3>
3) 0.5n + 4n
</h3><h3>
4) 2(w³+23)</h3><h3>
Step-by-step explanation:</h3>
1)
The product of seven and a number x: 7·x = 7x
<u>Five less than the product of seven and a number x:</u>
<h3>
7x - 5
</h3>
2)
nine times a number y: 9·y = 9y
<u>The difference of nine times a number y and eighteen:</u>
<h3>
9y - 18
</h3>
3)
half a number n: 0.5n
four times the number: 4·n = 4n
<u>Half a number n increased by four times the number:</u>
<h3>
0.5n + 4n
</h3>
4)
a number w cubed: w³
the sum of a number w cubed and twenty-three: w³+23
<u>Twice the sum of a number w cubed and twenty-three:</u>
<h3>2(
w³+23)</h3>
Answer:
+ 6x + 9 ...so x2 + 6x + 9 is a perfect square trinomial. ... The first term, 16x2, is the square of 4x, and the last term, 36, is the square of 6. (4x)2 – 48x + 62.
Step-by-step explanation:
Answer:
adding salt makes the water freeze slower and evaporate slower too.
Step-by-step explanation:
While pure water freezes at 0°C (32°F), salt water needs to be colder before it freezes and so it usually takes longer to freeze. The more salt in the water, the lower the freezing point.
