Find the area of the following figure. Round your answer to the nearest tenth

The initial temperature of the soda is 22 degrees Celsius, and its temperature after 20 minutes is approximately 10 degrees Celsius.

To find the initial temperature of the soda, we need to evaluate the temperature function T(x) at x = 0.

T(x) = -5 + 27e^(-0.03x)

T(0) = -5 + 27e^(-0.03(0))

T(0) = -5 + 27e^0

Since any number raised to the power of 0 is 1, we have:

T(0) = -5 + 27(1)

T(0) = -5 + 27

T(0) = 22

Therefore, the initial temperature of the soda is 22 degrees Celsius.

To find the temperature of the soda after 20 minutes, we evaluate the temperature function at x = 20.

T(x) = -5 + 27e^(-0.03x)

T(20) = -5 + 27e^(-0.03(20))

T(20) = -5 + 27e^(-0.6)

Using a calculator, we can compute e^(-0.6) ≈ 0.5488.

T(20) = -5 + 27(0.5488)

T(20) = -5 + 14.8152

T(20) ≈ 9.8152

Therefore, the temperature of the soda after 20 minutes is approximately 10 degrees Celsius (rounded to the nearest degree).

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Answer:

Make the -4 exponent in the denominator positive.

Answer:

16.35

Step-by-step explanation:

Calculator

\(5 \frac{1}{2} + 7 \frac{3}{5} + 3 \frac{1}{4} \\ \frac{11}{2} + \frac{38}{5} + \frac{13}{4} \\ \frac{11 \times 10}{2 \times 10} + \frac{38 \times 4}{5 \times 4} + \frac{13 \times 5}{4 \times 5} \\ \frac{110 + 162 + 65}{20} \\ = \frac{337}{20} = 16.85\)

Answer:

There is no passage/short story etc. to base this question off of, but if you copy and paste it I'll come back and edit my answer :)

Answer:

isosceles

Step-by-step explanation:

Two sides are the same length as indicated by the lines on the sides.

This tells use that the triangle is isosceles

Answer:

Hi, this an isoceles triangle

Step-by-step explanation:

An isoceles triangle has 2 equal sides

A right angled one has a right angle (90 degrees)

An equilateral traingle has all of his sides equal

A scalene has all of his sides different.

So this must be an isoceles triangle because there is basically a proof of the two equal sides (the bars).

Hope its clear!

Answer: 5 + 3 = 8

This statement represents the addition of 5 and 3, which equals 8.

Step-by-step explanation:

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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Answer:

C. Through a given point not on a given line, there is exactly one line parallel to the given line.

Step-by-step explanation:

hope i helped

Answer:

Look down

Step-by-step explanation:

Thanks for reaching out for assistance! Based on the context you provided, it seems like the correct answer is C. Playfair's axiom states that there is exactly one line parallel to a given line that can be drawn through a point not on it. I hope this helps! Let me know if there's anything else I can do for you.

The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.

To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:

Interior angle + Exterior angle = 180°

Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:

134° + Exterior angle = 180°

To isolate the exterior angle, we subtract 134° from both sides of the equation:

Exterior angle = 180° - 134°

Simplifying further:

Exterior angle = 46°

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Answer:

60 / 2 = 30 X .10 = n

Step-by-step explanation:

60 divided by 2 is 30 and then each of those bottles are worth .10 cents and you multiply 30 by .10 and you get 3 that is how much each girl gets

Answer:

R__S__T

RT = RS + ST

6x – 4 = ( 4x – 3) + ST

(6x – 4 ) – ( 4x – 3 ) = ST

(6x – 4 ) +( – 4x + 3 ) = ST

2x – 1 = ST

ST = 2x – 1

RS=ST

4x – 3 = 2x – 1

4x – 2x = – 1 +3

2x = 2

x= 2/2

x =1

ST = 2x – 1 = 2(1) – 1 =2 ‐ 1 = 1

ST = 1

I hope I helped you^_^

Answer:

Median

Step-by-step explanation:

I would want my final grade to be equal to the median of my test scores. Choosing my final grade to be the median is less punishing if I do very poorly on a single test. In fact, if the subject matter was extremely difficult, I could simply skip that test and get a 0. While it is risky, I can do this with up to 2 tests. That wouldn't be possible if my final grade was an average.

Answer:

- 824 ft

Step-by-step explanation:

2 minutes out of 5 is a fraction  2/5

2/5 of the -2060 would be

 2/5 *( -2060) =  - 824 ft

Answer:

uhhh i think -824

Step-by-step explanation:

-2060/5

-412

-412x2

-824

ok

It has two real solutions

Answer: i just took the test

Step-by-step explanation:

The probability that Isaac grabs two quarters is 4/25. So, the correct answer is (D) 4/25.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain.

No, your solution is not correct. The probability of drawing a quarter on the first draw is 4/10, or 2/5 since there are 4 quarters out of 10 total coins. After replacing the coin, the probability of drawing another quarter on the second draw is still 4/10, or 2/5, since the probabilities of the two draws are independent.

To find the probability of both events happening, we can multiply the probabilities:

P(both quarters) = P(first quarter) × P(second quarter)

= (4/10) × (4/10)

= 16/100

= 4/25

Therefore, the probability that Isaac grabs two quarters is 4/25. So, the correct answer is (D) 4/25.

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The value of p is 0.16. So the option b is correct.

A local entrepreneur takes a random sample of 100 people.

Of the urban participants, 22 buy a real tree.

Of the rural participants, 28 buy a real tree.

Let p1 = the proportion of all people who live in rural communities and buy a real Christmas tree.

Let p2 = the proportion of all people who live in urban communities and buy a real Christmas tree.

We have to find the p-value

p1 = X1/N1

p1 = 28/100

p1 = 0.28

p2 = X2/N2

p2 = 22/100

p2 = 0.22

p = (X1 + X2)/(N1 + N2)

p = (28+22)/(100+100)

p = 0.25

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: p1 = p2

Alternate Hypothesis, Ha: p1 > p2

Test statistic

z = (p1 - p2)/√(p*(1-p)*(1/N1 + 1/N2))

z = (0.28-0.22)/√(0.25*(1-0.25)*(1/100 + 1/100))

z = 0.9798

P-value Approach

P-value = 0.16

Hence, the option A is correct. 0.16 is the p-value.

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It can be said that the percentage is 6 of the squares have shops.

What are Percentage?

A percentage is a fraction of a whole expressed as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide the share of the total by the total and multiply by 100.

We know that there are 100 blocks/squares and there are 6% of the community with shops so

All we have to calculate is 6% of 100

6/100 * 100 = 6

So, it can be said that 6 of the squares have shops.

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Answer:

The exterior angle of 77 degrees is equal to the sum of angle M and L, so we can create an equation where (10x + 1) + (6x - 4) = 77 and solve it. First we can combine like terms and add numbers on the left side of the equation: 16x - 3 = 77. Next, we can add 3 to both sides of this equation: 16x = 80. Lastly, we can isolate the x variable by dividing both sides of this equation by 16: x = 5.

Step-by-step explanation:

Please support my answer.

(a),

The common ratio between the terms is

(b).

The common ratio found in (a) tells us that every next number is found by dividing the previous number by 3; therefore, the equation for a_n the nth term will be

(c).

The sixth term will be at n = 6. Putting n = 6 into the equation in (b) gets us

Answer:

um well fierst da answer is proberly yes and no

Step-by-step explanation:

i tried to do da work

Answer:

y=291

Step-by-step explanation:

I did the math got 291.

Answer:

-9x + 5y =-1

x-intercept:   ( 1 9 , 0 )

y-intercept:  ( 0 , − 1 5 )

-3x + y = 4

x-intercept:  ( − 4 3 , 0 )

y-intercept:  ( 0 , 4 )

The new function of Jennifers's investment is f(t) = 50000 * (1.15)^t

From the question, we have the following parameters that can be used in our computation:

Initial investment, a = 50000

Rate of growth, r = 15%

Using the above as a guide, we have the following:

f(t) = a * (1 + r)^t

Substitute the known values in the above equation, so, we have the following representation

f(t) = 50000 * (1 + 15%)^t

So, we have

f(t) = 50000 * (1.15)^t

Hence, the function is f(t) = 50000 * (1.15)^t

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Complete question

ennifer starts a new investment account that grows exponentially. Her financial advisor tells her the initial investment of $50,000 grows at a rate of about 15% annually.

Write a new function, N(t), that represents the amount of money in Jennifer’s new account after t years. Be sure to use correct notation

Step-by-step explanation:

The amplitude is 2. Amplitude means height from the x-axis to the crest/trough.

The period is 2pi. It is from crest to crest (next crest) or trough to trough (next trough).

Note that crest are the highest points of a wave, and that troughs are the lowest points of a wave. (we are talking about transverse waves, but this is more of a physics thing).

Function of graph:
By playing around in a graphing calculator, I got the equation to be

2 (cos (x + pi/2)).

the 2 changes the amplitude, and the + pi/2 shifts the graph by pi/2 to the left.

Answer:

A, 11.7

Step-by-step explanation:

B, No

Answer:

146, 146

Step-by-step explanation:

\(AB^2 = (-4-4)^2 + (11-8)^2 = 73 \\ \\ BC^2 = (4-1)^2+ (8-0)^2 =73 \\ \\ \therefore AB^2 + BC^2 = 146 \\ \\ \\ AC^2 = (-4-1)^2 + (11-0)^2 = 146\)

Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

Step-by-step explanation:

a=> let t denote the number of t

n(t)=1

number of total letters, n(s) = 8

Now,

probability of getting t ,P(t)

= n(t)/ n(s)

= 1/8

b=> let o denote the number of o and

m

n(o)=2

number of total letters, n(s) = 8

Now,

probability of getting t ,P(o)

= n(o)/ n(s)

= 2/8

= 1/4

c=> let x denote the number of x

n(x)=0

number of total letters, n(s) = 8

Now,

probability of getting a x, P(x)

= n(x)/n(s)

= 0/8

= 0

d=> let v denote the number of vowel

letters

n(v)=3

number of total letters, n(s) = 8

Now,

probability of getting a vowel

letter,P(v) = n(v)/n(s)

= 3/8

I hope my answer was helpful

Answer:

Namaste

Step-by-step explanation:

fxp-wvsa-uzebu sh