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bonufazy [111]
3 years ago
7

Sara loves to go hiking. This week she hiked 3 miles on Monday, 4 miles on Tuesday, and 3 miles on Thursday. Last week Sara hike

d 8 miles. How many more miles did Sara hike this week than last week?
Mathematics
1 answer:
Tanzania [10]3 years ago
5 0
Distance hiked by Sara last week = 8 miles
Distance hiked by Sara on Monday this week = 3 miles
<span>Distance hiked by Sara on Tuesday this week = 4 miles
</span><span>Distance hiked by Sara on Thursday this week = 3 miles
</span>So
Total distance hiked by Sara this week = (3 + 4 + 3) miles
                                                              = 10 miles
The number of more miles hiked by Sara this week = (10 - 8) miles
                                                                                  = 2 miles
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Suppose that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water
Setler79 [48]

Answer:

Step-by-step explanation:

Given that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate.

Let Q(t) be the quantity of salt at time t.

Q(0) = 70 pounds

Inflow of water = outflow = 4 gal/min

So resulting volume of tank at time t = 400 gallons

Rate of change of salt = inflow - outflow

= 0 - \frac{Q(t)}{400}

i.e. \frac{dQ}{dt} =\frac{-Q(t)}{400}

This is a variable separable equation

\frac{dQ}{Q}=-\frac{dt}{400} \\ln Q = {-\frac{t}{400}} +C\\Q = A e^{-\frac{t}{400}}

Use when t =0 Q = 70

A =70

So A(t) = Q(t) = 70 e^{-\frac{t}{400}} and

A(0) = Q(0) = 70 lbs.

7 0
3 years ago
If p= 3 and q= -3, find the value of:
Finger [1]
2(3)+(-3)-3(3)(-3)=6-3+27=30
5 0
3 years ago
Identify az of this sequence: 0.25, 0.5, 0.75, 1, 1.25. 1.5
4vir4ik [10]
<h3><u>Question:</u></h3>

Identify a3 of this sequence: 0.25, 0.5, 0.75, 1, 1.25, 1.5,...a3=

<h3><u>Answer:</u></h3>

The third term of sequence is 0.75

a_3 = 0.75

<h3><u>Solution:</u></h3>

Given that, sequence is:

0.25, 0.5, 0.75, 1, 1.25. 1.5

Let us find the difference between terms

0.5 - 0.25 = 0.25\\\\0.75-0.5 = 0.25\\\\1.25-1=0.25\\\\1.5-1.25=0.25

This is a arithmetic sequence

Because the difference between any term and its immediately preceding term is always 0.25

In a arithmetic sequence,

a_1 = \text{ first term of sequnece }\\\\a_2 = \text{second term of sequnce }\\\\a_3 = \text{third term of sequnece }\\\\a_n = \text{ nth term of sequnce }

Thus, in the sequence 0.25, 0.5, 0.75, 1, 1.25. 1.5

a_3 = \text{ third term } = 0.75

Thus the third term of sequence is 0.75

5 0
3 years ago
Which algebraic function has a smaller rate of change than the equation?<br><br> f(x)=2x−9
vredina [299]
It will be the second option i believe
4 0
2 years ago
The what value complete the square for the expression x squared plus 16x
Troyanec [42]
Take the coefficient of the x-term, half it, then square that. add this to both sides

x² + 16x. coefficient of x is 16. half of 16 is 8. 8²=64

x² + 16x + 64 =64. this is your answer but to continue

x² + 16x + 64 = 64
(x+8)² = 64
x+8 = ✓64
x+ 8 = ±8
x = 0 or -16
6 0
3 years ago
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