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Reptile [31]
3 years ago
6

Help quick! The table below shows the water temperature at certain depths of a lake. Using an logarithmic model, write an equati

on for the curve of best fit, then estimate the depth of water at a temperature of 50 degrees F.
Depth Temp
(ft) (°F)
2 86
12 78
14 75
45 71
68 68

A) 1,256 ft
B) 1,679 ft
C) 2,364 ft
D) 2,634 ft
Mathematics
2 answers:
Norma-Jean [14]3 years ago
5 0

Answer:

we need the graph lol

Step-by-step explanation:

Morgarella [4.7K]3 years ago
5 0

Answer:

we need a graph

Step-by-step explanation:

have a good day

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Find the solutions to the equation 102x 11 = (x 6)2 – 2. Which values are approximate solutions to the equation? Select two answ
otez555 [7]

You can try finding the roots of the given quadratic equation to get to the solution of the equation.

There are two solutions to the given quadratic equation

x = 0.202, x = 113.798

<h3>How to find the roots of a quadratic equation?</h3>

Suppose that the given quadratic equation is ax^2 + bx  +c = 0

Then its roots are given as:

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}

<h3>How to find the solution to the given equation?</h3>

First we will convert it in the aforesaid standard form.

102x + 11 = (x-6)^2 - 2\\102x + 11 + 2 = x^2 + 36 - 12x\\0  = x^2 -114x + 23\\x^2  -114x + 23 = 0\\

Thus, we have

a = 1. b = -114, c = 23

Using the formula for getting the roots of a quadratic equation,

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{114 \pm \sqrt{114^2 - 92}}{2} \\\\ x = 0.202 (\text{used "-" sign})\\\\x = 113.798 ( used "+" sign})

Thus, there are two solutions to the given quadratic equation

x = 0.202, x = 113.798

Learn more here about quadratic equations here:

brainly.com/question/3358603

5 0
3 years ago
vanessa invested $2,500 into an account that will increase in value by 3.5% each year. Write an exponential function to model th
astraxan [27]

Answer: (i) A = 2500 ((1.035)^{n}

(ii) A =$ 4,974.47

Step-by-step explanation:'

The exponential function is given as :

A = P(1+r)^{n}

Where :

A = amount

P = principal

r = rate %

n = number of years

substituting , the exponential function to model the situation becomes

A = 2500 ((1.035)^{n}

(ii) when n = 20 , the Amount becomes

A = 2500((1.035)^{20}

A =$ 4,974.47

4 0
3 years ago
Mrs. Hall bought a package of 8 pencils for $4.64. What is the unit price per pencil?
ahrayia [7]

Answer:

$0.58

Step-by-step explanation:

There are 8 pencils per package. To find the value of each pencil, divide the cost by 8

4.64/8 = $0.58

8 0
3 years ago
Read 2 more answers
What is the completely factored form of d4 -8d2 + 16
irinina [24]
According to Vieta's Formulas, if x_1,x_2 are solutions of a given quadratic equation:

ax^2+bx+c=0

Then:

a(x-x_1)(x-x_2) is the completely factored form of ax^2+bx+c.

If choose x=d^2, then:

\displaystyle x^2-8x+16=0\\\\x_{1,2}= \frac{8\pm  \sqrt{64-64} }{2}=4

So, according to Vieta's formula, we can get:

x^2-8x+16=(x-4)(x-4)= (x-4)^2

But x=d^2:

d^4-8d^2+16=(d^2-4)^2=[(d+2)(d-2)]^2=(d+2)^2(d-2)^2
8 0
3 years ago
An online news source reports that the proportion of smartphone owners who use a certain operating system is 0.216. Two simulati
kaheart [24]

Answer:

The center/ mean will almost be equal, and the variability of simulation B will be higher than the variability of simulation A.

Step-by-step explanation:

Solution

Normally, a distribution sample is mostly affected by sample size.

As a rule, sampling error decreases by half by increasing the  sample size four times.

In this case, B sample is 2 times higher the A sample size.

Now, the Mean sampling error is affected and is not higher for A.

But it's sample is huge for this, Thus, they are almost equal

Variability of simulation decreases with increase in number of trials. A has less variability.

With increase number of trials, variability of simulation decreases, so A has less variability.

4 0
3 years ago
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