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Mariana [72]
3 years ago
11

Doug is a zookeeper in charge of monitoring the "aquatic" section at the North End Zoo. A baby dolphin was born on Wednesday and

weighed 31 pounds. The dolphin is growing at an average rate of 2.3lbs per day. Write a function that can be used to find the weight, w(x), of the dolphin after x, days.
Mathematics
1 answer:
Valentin [98]3 years ago
7 0

Answer:

w(x)=2.3x+31

Step-by-step explanation:

From the information given, the function would indicate that the weight of the dolphin after x days would be equal to the 31 pounds the baby weighed when it was born plus 2.3 lbs that is the average rate it is growing for the number of days:

w(x)= 2.3x+31, where:

w(x)= weight of the dolphin

x=number of days

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The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours:
Y_Kistochka [10]
Ur independent variable is ur x values....ur dependent variable is ur y values..so if hrs are on the x axis, then ur independent values are ur hrs (or time)....and ur dependent values are ur distance.

(0,0),(2,50)
slope = (50 - 0) / (2 - 0) = 50/2 = 25

y = mx + b
slope(m) = 25
and since u have point (0,0), ur y int (b) = 0
so ur equation is y = 25x + 0 which is written as y = 25x...which is basically saying that he travels 25 miles per hr

how far will he travel in 24 hrs.....so sub in 24 for x
y = 25(24)
y = 600 miles

in summary : The dependent variable is distance, the equation is y = 25x and the dragonfly will fly 600 miles.
8 0
3 years ago
Read 2 more answers
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
nydimaria [60]

Answer:

Step-by-step explanation:

As you can see, this is a quadratic equation and if you were to graph this you would see that it is a parabola that opens down because of the negative leading coefficient (-34). The maximum profit would be at the vertex, of the graph. Therefore, we need to find the value of "y" when "x" is the line of symmetry. We find this by  x=-b/(2a) where a = -34 and b = 1542:

x=-1542/(2)(-34)

x=-152/-68

x=152/68  

We put this value of "x" into the original formula to find out the value of "y":

y=-34x^2+1542x-10037

y=(-34)(1542/68)^2+1542(1542/68)-10037

y= -17483.5588235 + 34967.1176471 -10037

y=7446.5588236

Therefore, the maximum profit would be $7446.56.

Hope this helps!

PLS MARK BRAINLIEST THIS TOOK A LOT OF TIME

7 0
3 years ago
There are two friends. Each friend has a dollar to buy some pie. The first friend buys two-eighths of a pie for a dollar. The se
Firlakuza [10]

Answer:

Neither they get the same amount

Step-by-step explanation:

7 0
3 years ago
Natalie has 1/2 gallon of milk. She pours an equal amount of milk each of 8 glasses.
VLD [36.1K]

Answer:

there are 4 quarts in a gallon so therefore the glasses are half a quart

Step-by-step explanation:

yes

3 0
3 years ago
In a manufacturing process a random sample of 9 bolts manufactured has a mean length of 3 inches with a standard deviation of .3
Serggg [28]

Answer:

The correct option is (C) (2.769, 3.231).

Step-by-step explanation:

The confidence interval for mean when the standard deviation is not known is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\frac{s}{\sqrt{n}}

Given:

\bar x = 3\\s=0.3\\n=9\\\alpha =1-0.95=0.05

Compute the critical value as follows:

t_{\alpha/2, (n-1)}=t_{0.05/2, (9-1)}=t_{0.025, 8}=2.31

**Use a <em>t</em>-table.

The 95% confidence interval for true mean length of the bolt is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\frac{s}{\sqrt{n}}\\=3\pm 2.31\times \frac{0.30}{\sqrt{9}}\\ =3\pm 0.231\\=(2.769, 3.231)

Thus, the 95% confidence interval for true mean length of the bolt is (2.769, 3.231).

The correct option is (C).

7 0
3 years ago
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