Sarah spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -9.2°F. Between 9am and noon, the temperature rose 2°F. Between noon and 3pm, the temperature went up 12.1°F. Between 3pm and 6pm, the temperature dropped 5.5°F. What was the temperature at 6pm?

Answer: [tex]2tan(theta)[/tex]

Step-by-step explanation:

I know this is pre-calculus, but I want to let you know what this is actually used for in real calculus. This is a method of integration called "u-substitution" which tranforms the function of 'x' into a function of 'theta'. If we allow the value of 'x' to equal 2sec(theta), we can plug this into the function to get:

[tex]\sqrt{x^2-4} =\sqrt{(2sec(theta)^2-4} =\sqrt{4sec^2(theta)-4}[/tex]

Factor out a 4 to get:

[tex]\sqrt{4(sec^2(theta)-1)}[/tex]

Take the square root of 4 to get a 2 on the outside of the radical:

[tex]\sqrt{4(sec^2(theta)-1)}=2\sqrt{sec^2(theta)-1}[/tex]

Use the trig identity below to convert the secant to tangent:

[tex]tan^2(theta)+1=sec^2(theta)[/tex]

[tex]tan^2(theta)=sec^2(theta)-1[/tex]

Therefore our expression becomes:

[tex]2\sqrt{sec^2(theta)-1}=2\sqrt{tan^2(theta)}[/tex]

The square root of tangent is simply tangent:

[tex]2\sqrt{tan^2(theta)} =2tan(theta)[/tex]

Answer:

the imino acid found in protein strcjure

Answer:

grams and kilograms it got delted for some reason

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

3/12 is 0.25

3 divided by 12 when simplified or reduced

The fraction 3/12 is equal to the exact decimal number.

Answer:

the answer is 42

Step-by-step explanation:

you multiply the sides to get the area

Answer:

The answer is the 2nd 1

Step-by-step explanation:

It's a basic graph

Answer:

huh

Step-by-step explanation:

Answer:

Triangle UTS is congruent to Triangle RST.

Step-by-step explanation:

When stating congruence, the corresponding angles and sides must be listed in order. In triangle uts, based on the points, the angle is U, and the side is US. This means that for the other triangle, the first point needs to be the angle, and the last one needs to be the other point for the side. This gives us Triangle UTS is congruent to triangle RST. Hope this helps!

Answer:

p = 8h

Step-by-step explanation:

Simple math my guy

Answer:

p=8h

Step-by-step explanation:

For each hour, she gets paid $8. So the total pay would be the number of hours multiplied by 8.

Answer:

[tex] \frac{x}{3} + 10 = \frac{3x - 8}{2} \\ \\ \frac{3x - 8}{2} - \frac{x}{3} = 10 \\ \\ taking \: lcm \\ \\ \frac{9x - 24 - 2x}{6} = 10 \\ \\ 9x - 24 - 2x = 60 \\ \\ 7x = 60 + 24 \\ \\ 7x = 84 \\ \\ x = \cancel\frac{84}{7} \\ \\\fbox{ x = 12}[/tex]

hope helpful ~

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

[tex] \frac{x + 30}{3} = \frac{3x - 8}{2} [/tex]

[tex]2x + 60 = 9x - 24[/tex]

[tex]60 + 24 = 9x - 2x[/tex]

[tex]84 = 7x[/tex]

[tex]x = 12[/tex]

I hope it will be helpful

Answer:

20 minutes, or 1/3 hour

Step-by-step explanation:

Donnie travels at 9 miles/hr.  

The relationship between speed, distance, and time is Time = Distance/Speed.  [from Distance = Speed*Time]

Time to bike 3 miles at 9 miles/hr is = (3 miles)/(9 miles/hr) = (1/3) hr

It took 1/3 hour, or 20 minutes, to bike the three miles, with no stops for soda and hot dog.

Answer:

0.9%

Step-by-step explanation:

I took the test

Answer:

The transformation will be 5

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

5x^2 + 55x + 140  ---> required

Coefficients a=5, b=55, c=140 yield

[tex]h=\frac{-h}{2*a} =\frac{-(55)}{2*5} =\frac{-55}{10} =-5.5[/tex]

Thus, the x-coordinate of the vertex is [tex]\boxed{h = -5.5 }[/tex]

Plugging x=-5.5 into the given equation yields:

[tex]k=5*(-5.5)^{2} +55*-5.5+140=-11.25[/tex]

Thus, the y-coordinate of the vertex is [tex]\boxed{k = -11.25 }[/tex]

Altogether, the vertex of the given parabola is

[tex]\boxed{ (h,k)=(-5.5,-11.25) }[/tex]

Plugging (h,k)=(−5.5,−11.25) into the vertex formula

[tex]\boxed{ y=(x-h)^2+k }[/tex]

yields the vertex form of the parabola

[tex]\boxed{ y=(x+5.5)^2-11.25 }[/tex]

Answer:

So first you have to make all the denominaters (bottom #s) the same so we would get 12/20-8/20+5/20 and you would solve this to equal 9/20 and to divide it by 1/6 would equal 2 7/10.

Hope this helps! (pls read the comment for free gift cards)

Answer:

the answer is C. 0.26

Step-by-step explanation:

Because 0.50 + 0.24 is 0.74 and I'm guessing it goes to 1.0

So you subtract 1.0 from 0.74 to get 0.26

Answer:

Less Likely

Step-by-step explanation:

A 2/7 probability means that it will happen less than half the time.

The eliminates equally likely, more likely, and certain as those are 50% or greater.

The probability is also greater than 0%, so it's not "impossible"

Therefore, the answer must be B, Less Likely.

It happens less than half the time, but can at times happen.

Hope this helps!

The solution is, Less Likely, best describe the likelihood of this event.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

An event has a probability of 2/7.

now, we get,

A 2/7 probability means that it will happen less than half the time.

The eliminates equally likely, more likely, and certain as those are 50% or greater.

The probability is also greater than 0%, so it's not "impossible"

It happens less than half the time, but can at times happen.

Therefore, the answer must be B, Less Likely.

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Answer:

1. 6/10 – 2/5 =

Ans: 2/10, which can be reduced to 1/5.

2. If a tank is 5/8 filled with solution, how much of the tank is empty?

Ans: 3/8 of the tank is empty. Since the whole tank would equal 8/8, or 1, and 5/8 of it is filled, then that

means 3/8 of it remains empty.

3. 1/2 x 3/5 x2/3 =

Ans: 6/30, which can be reduced to 1/5.

4. 5/9 ÷ 4/11 =

Ans: 55/36. You cannot reduce this fraction any further.

5. Convert 27/4 to a decimal.

Ans: 6.75. This answer is arrived at by dividing 4 into 27.

6. Convert 0.45 to a fraction.

Ans: 45/100, which can be reduced to 9/20.

7. 4.27 x 1.6 =

Ans: 6.832

8. 6.5 ÷ 0.8 =

Ans: 8.125

9. 12 + 4.52 + 245.621 =

Ans: 262.141

Step-by-step explanation:

I hope this helps

Answer:

1309 marbles

Step-by-step explanation:

All together:

Answer:

yes ur on track

Step-by-step explanation:

Answer:

20/9

Step-by-step explanation:

2/1–>20/10 x 10/9

200/90 / 10

20/9

Hope that helps. :)

[tex]2 \div \frac{9}{10} [/tex]

[tex] \frac{2}{1} \div \frac{9}{10} [/tex]

[tex] = \frac{2}{1} \times \frac{10}{9} [/tex]

[tex] = \frac{2 \times 10}{1 \times 9} [/tex]

[tex] = \frac{20}{9} or2 \frac{2}{9} [/tex]

Answer:

A.

Step-by-step explanation:

I would advise finding the difference between 300 and 200 and 450 and 300:

[tex]300-200=100\\450-300=150[/tex]

We can eliminate C and D since she saves 100 the first month and 150 the second month.

The next step would be to find the increase every month:

[tex]\frac{Final value}{initial value}=x\\\\\frac{300}{200}=1.5 \\\\\frac{450}{300} = 1.5[/tex]

If we would write the increase as a function, we would get:

[tex]y= 1.5x[/tex]

we can check this by substituting values:

[tex]y=1.5*200\\y=300\\\\\\y=1.5*300\\y=450[/tex]

An exponential function looks like this:

[tex]y= a^x[/tex]

A linear function looks like this:

[tex]y=mx+b[/tex]

Our m is 1.5, a linear increase by 150% and our b is 0, which can be written like:

[tex]y=1.5x+0\\y=1.5x[/tex]

Therefore our function resembles a linear function more than an exponential function, eliminating answer B.

Answer:

Step-by-step explanation:

Solve each inequality in the system:

The solution is:

The integer solution set is:

[tex]\\ \rm\rightarrowtail 3-2a<13[/tex]

[tex]\\ \rm\rightarrowtail -2a<10[/tex]

[tex]\\ \rm\rightarrowtail -a<5[/tex]

[tex]\\ \rm\rightarrowtail a>-5[/tex]

And

[tex]\\ \rm\rightarrowtail 5a<17[/tex]

[tex]\\ \rm\rightarrowtail a<17/5[/tex]

[tex]\\ \rm\rightarrowtail a<3\dfrac{2}{5}[/tex]

So

solution set

[tex]\\ \rm\rightarrowtail a\in\left(-5,3\dfrac{2}{5}\right)[/tex]

So

Answer:

I'm not a hundred percent sure how to answer this one, because you need the height to solve but the other two tick marks would also be twenty because all of the sides are equal to one another.

Answer:

so x=5 and y= 8

Step-by-step explanation:

[tex]y = 3x - 7 \: \\ 20 = - 4x +5y \\ 20 = - 4x + 5(3x - 7) \\ 20 = - 4x + 15x - 35 \\ 20 + 35 = 11x \\ 55 = 11x \\ x = 5 \\ now \: you \: put \: x = 5 \: into \: the first \: equation \: \\ 5 \\ y = 3(5) - 7 \\ y = 8[/tex]

Answer:

60/77 the answer is not able to be an improper fraction

Step-by-step explanation:

3/7+9/11

33/77+27/77

60/77

Answer:

Step-by-step explanation:

Let O be the centre of the circle of radii 10 cm and 8 cm.

In given figure,

AP = PB and OP⊥AB

Applying Pythagoras theorem in ∆OPA, we get

↠ OA² = OP² + AP²

↠ (10)² = (8)² + AP²

↠ 100 = 64 + AP²

↠ 100 - 64 = AP²

↠ 36 = AP²

↠ √36 = AP

↠ 6 = AP

Now,

↠ AB = 2AP

↠ AB = 2(6)

↠ AB = 12 cm

Hence,

Answer:

Quadrant IV

Step-by-step explanation:

You can easily find in which quadrant a point lies using this key :

We have the coordinate (4, -5)

Answer:

Quadrant IV

Step-by-step explanation:

The Cartesian plane is divided into 4 quadrants.

Quadrant I is the top right quadrant, where x and y are positive.

We then move in a counterclockwise direction for quadrants II, III and IV.

Therefore:

As point (4, -5) has a positive x-value and a negative y-value, it will lie in Quadrant IV

Answer:

The study, The Nature of Americans National Report, found that more than half of adults reported spending five hours or less in nature each week, and being satisfied with this small amount of time spent outdoors.

Step-by-step explanation:

The margin of error in the report is 2.39.

The margin of error is a statistic that describes how much random sampling error there is in survey data.

Given that, the upper interval is 24.96 and the lower interval is 20.18.

The margin of error is half of the difference between the upper and the lower interval.

Therefore, the margin of error is:

Margin of error = (24.96 - 20.18)/2

                        = 4.78/2

                        = 2.39

Hence, the margin of error in the report is 2.39.

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Answer: 1hr

Step-by-step explanation: Distance = speed × time

Time = Distance / Speed = 60/60