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juin [17]
3 years ago
9

I have been having a lot of trouble with this assignment and I don't really understand some of the graph so if anyone can a litt

le help would be great

Mathematics
1 answer:
Zanzabum3 years ago
4 0

Answer:

1. The graph represents the inequality y > 2x + 1

2. The y-intercept (where a line meets the y-axis) is at point (0,1). This line rises by 2 for every point it moves to the right (this is called the slope). A dotted line means that point on the line are not included in the solution set, thus you use the > symbol.

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What is the product of one half and two thirds?
attashe74 [19]

Answer:

1/4

Step-by-step explanation:

1/2 × 2/3

= 1×3 = 1

2×2 = 4

Therefore,

1/2 × 2/3 = 1/4//

4 0
3 years ago
What is 4 divided by 3/4?
musickatia [10]

Answer:

16/3 or 5.33

Step-by-step explanation:

Cross multiply

4/1 * 3/4

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6 0
2 years ago
A tank contains 30 lb of salt dissolved in 300 gallons of water. a brine solution is pumped into the tank at a rate of 3 gal/min
sesenic [268]
A'(t)=(\text{flow rate in})(\text{inflow concentration})-(\text{flow rate out})(\text{outflow concentration})
\implies A'(t)=\dfrac{3\text{ gal}}{1\text{ min}}\cdot\left(2+\sin\dfrac t4\right)\dfrac{\text{lb}}{\text{gal}}-\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ lb}}{300+(3-3)t\text{ gal}}
A'(t)+\dfrac1{100}A(t)=6+3\sin\dfrac t4

We're given that A(0)=30. Multiply both sides by the integrating factor e^{t/100}, then

e^{t/100}A'(t)+\dfrac1{100}e^{t/100}A(t)=6e^{t/100}+3e^{t/100}\sin\dfrac t4
\left(e^{t/100}A(t)\right)'=6e^{t/100}+3e^{t/100}\sin\dfrac t4
e^{t/100}A(t)=600e^{t/100}-\dfrac{150}{313}e^{t/100}\left(25\cos\dfrac t4-\sin\dfrac t4\right)+C
A(t)=600-\dfrac{150}{313}\left(25\cos\dfrac t4-\sin\dfrac t4\right)+Ce^{-t/100}

Given that A(0)=30, we have

30=600-\dfrac{150}{313}\cdot25+C\implies C=-\dfrac{174660}{313}\approx-558.02

so the amount of salt in the tank at time t is

A(t)\approx600-\dfrac{150}{313}\left(25\cos\dfrac t4-\sin\dfrac t4\right)-558.02e^{-t/100}
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3 years ago
This table represents the number of ounces, u, a kitten grows after w, weeks. When graphed, all of the points in the table lie o
Ira Lisetskai [31]

Answer:slope =3/4 y-intercept=3

Step-by-step explanation:

7 0
2 years ago
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