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2 years ago

Help please:)need asap

Mathematics

2 answers:

JulijaS [17]2 years ago

8 0

The predicted temperature to the nearest degree fahrenheit, at 9 p.m. is 75 degree fahrenheit.

<h3>Functions and values</h3>

Given the equation that expresses the temperature, in degrees fahrenheit, in London during a day in august as;

t(x) = 9sin(0.4x - 4) + 74,

where;

x is the number of hours after midnight.

If the time is 9pm after midnight, the total number of hours will be 21 hours

Substitute x = 21 into the function to have;

t(21) = 9sin(0.4(21) - 4) + 74

t(21) = 9sin(4.4) +74
t(21) = 9(0.0767)+74

t(21) = 74.69 degree fahrenheit,

Hence the predicted temperature to the nearest degree fahrenheit, at 9 p.m. is 75 degree fahrenheit.

Learn more on functions here: brainly.com/question/25638609

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gogolik [260]2 years ago

7 0

The predicted temperature is 75° Fahrenheit

<h3>What is trigonometric functions?</h3>

Trigonometric functions show the relationship between the sides and angles of a triangle.

Analysis:

t(x) = 9sin(0.4x - 4) + 74

since it is 9pm, which is 21 hours from 12 midnight, x = 21

t(21) = 9 sin( 0.4 x 21 - 4) + 74 = 75° Fahrenheit

In conclusion, the predicted temperature at 9pm is 75° Fahrenheit

Learn more about trigonometric functions: brainly.com/question/24349828

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3 years ago

The concentration of dichlorodiphenyltrichloroethane (DDT - an infamous pesticide) in Lake Michigan has been declining exponenti

mojhsa [17]

Answer: A) $y=13e^{-0.1359t}$

B) H = 5.10

C) Yes

Step-by-step explanation: <u>Exponential</u> <u>Decay</u> <u>function</u> is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form: $y(t)=Ce^{rt}$

A) C is initial quantity, in this case, the initial concentration of DDT. To determine r, using the data given:

$y(t)=Ce^{rt}$

$2.22=13e^{13r}$

$e^{13r}=0.1708$

Using a natural logarithm property called <em>power rule:</em>

$13r=ln(0.1708)$

$r=\frac{ln(0.1708)}{13}$

$r=-0.1359$

The decay function for concentration of DDT through the years is $y(t)=13e^{-0.1359t}$

B) The value of H is calculated by $y=C(0.5)^{\frac{t}{H} }$

$2.22=13(0.5)^{\frac{13}{H} }$

$(0.5)^{\frac{13}{H} }=0.1708$

Again, using power rule for logarithm:

$\frac{13}{H} log(0.5)=log(0.1708)$

$\frac{13}{H} =\frac{log(0.1708)}{log(0.5)}$

$\frac{13}{H} =2.55$

H = 5.10

Constant H in the half-life formula is H=5.10

C) Using model $y(t)=13e^{-0.1359t}$ to determine concentration of DDT in 1995:

$y(24)=13e^{-0.1359.24}$

y(24) = 0.5

By 1995, the concentration of DDT is 0.5 ppm, so using this model is possible to reduce such amount and more of DDT.

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3 years ago

The graph shows the relationship between the amount of time that a backpacker hikes and the distance traveled.

krok68 [10]

Answer:

y = 3/2x

Step-by-step explanation:

it seems what they are asking for here is our slope.

To find this, we must figure out the change in y over the change in x.

This can be viewed as:

Δy/Δx = slope

In this case, we can see that the line crosses at (4,6), and at (0,0)

Since our y changes by 6, and our x changes by 4, our slope is:

6/4 = slope

Or:

3/2 = slope

So your answer is 3/2x.

Hope this helps!

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3 years ago

* ANSWER PLS TY!! * Find the surface area of this cone.

vagabundo [1.1K]

Answer:

Step-by-step explanation:

Given,

R = 8 m

H = 15 m

Slant height :

$= \sqrt{ {r}^{2} + {h}^{2} }$

$= \sqrt{ {(8)}^{2} + {(15)}^{2} }$

$= \sqrt{64 + 225}$

$= \sqrt{289}$

$= \sqrt{ {(17)}^{2} }$

$= 17 \: m$

Now, Finding the surface area of the cone:

$\pi \: r(r + s)$

Plugging the values:

$= \pi \: \times 8(8 + 17)$

$= 8\pi \: \times 25$

$= 200 \: \pi$

Hope this helps...

Good luck on your assignment...

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3 years ago

How can I find the value of each variable

baherus [9]

Answer:

x=20

Step-by-step explanation:

So, they are vertical angles so they would be EQUAL.

The equation you would use to solve for 'x' would be:

3x=80-x

Then, you would solve for x. First you would need to get all the x's on the opposite side of the numbers.

3x=80-x

Add x to both sides

4x=80

Then, you would have to divide on both sides.

4x=80

Divide by 4 on both sides

x=20

Then, if you need to find out what the angles would be, just plug x in.

3(20) = 60

80-(20) = 60

Hope this helped!! :)

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3 years ago