A scientist discovered a rock formation that grows at a rate of 0.01 meters per year. To predict the height, h, of the rock formation after t years, she used the formula h(t)=1.3+0.01t.

Transversion is known as point mutation in DNA.

Transversion is a term used in molecular biology. It refers to a point mutation in DNA in which a single (two ring) purine (A or G) is changed for a (one ring) pyrimidine (T or C), or vice versa. A transversion can be spontaneous, or it can be caused by ionizing radiation or alkylating agents. It can only be reversed by a spontaneous reversion.

So, here 5'AGCCTAC3' we can replace (A or G) with (T or C)

So, the answer should be :

5'ATCCTAC3'

Here we have replaced G with T and other things are same

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The full question will be like this

Assume that a wild-type sequence is 5'AGCCTAC3'. Indicate the sequence that might be produced by a transversion. Which of the following sequences might be produced by a transversion?

A) 5'AGTCTAC3'

B) 5'AGCCGCCGCCGCCTAC3'

C) 5'AGCCCAC3'

D) 5'ATCCTAC3'

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The probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes is only 0.02%.

P(X <= 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

P(X = k) = (100 choose k) * 0.078^k * (1 - 0.078)^(100-k)

P(X <= 4) = (100 choose 0) * 0.078^0 * (1 - 0.078)^(100-0) + (100 choose 1) * 0.078^1 * (1 - 0.078)^(100-1) + (100 choose 2) * 0.078^2 * (1 - 0.078)^(100-2) + (100 choose 3) * 0.078^3 * (1 - 0.078)^(100-3) + (100 choose 4) * 0.078^4 * (1 - 0.078)^(100-4)

Using a calculator or software, we can find that:

P(X <= 4) = 0.000203

This means that the probability is 0.02%.

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Charges for TV advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is the percentage of population of 110 million TV households.The CBS television show 60 minutes recently had a rating of 7.8, indicating that 7.8% of the household were tuned to that show.An advertiser conducts an independent survey of 100 households and finds that only 4 were tuned to 60 minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes.Does the result suggest that the rating of 7.8 is too high?

Answer:

w≥-6

Step-by-step explanation:

 You need to solve the equation -5w ≤ 30.

The only step is for us to divide each side by -5.

*note*

Since it's a negative number, we reverse the sign:

-5w ≤ 30

w ≥ -6

Therefore the answer is w≥-6

1 )Divide both sides by −5.

w ≥ \(-\frac{30}{5}\)

2 )Simplify \(\frac{30}{5}\) to 6.

w ≥ -6

When a mass of 3 kg is hanged to it, the string will stretch 7.5 cm.

Given,

The length of the spring attached to the ceiling = 10 cm

The quantity of the mass hanged in the spring = 2 kg

The amount of stretching happened in the spring = 15 cm

We have to find the stretching of string when a mass of 3 kg is hanged to it;

Here,

Given that the force applied to the spring by the 2.0 kg is equal to the mass's weight:

F = mg = 2 kg × 9.8 m/s² = 19.6 N

Additionally, the stretching of:

Δx = 15 cm - 10 cm = 5 cm

So, applying Hooke's law:

F = kΔx

To determine the spring constant, k;

k = F/Δx = 19.6/5 = 3.92  N/ cm

The spring is now coupled to a new mass of m = 3.0 kg; the force this mass exerts on the spring equals

F = mg = 3 kg × 9.8 m/s² = 29.4 N

Thus, we may apply Hooke's law once more to determine the new stretching:

Δx = F/k = 29.4/3.92 = 7.5 cm

Therefore,

The string will be stretched 7.5 cm when a mass of 3 kg is hanged to it.

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Answer:

your slope is 1

Step-by-step explanation:

You would use the formula y2-y1/x2-x1=m you would do -12-(-9)/-6-(-9)

which would give you 3/3 which simplifies to 1.

Slope of the line is -1

Given coordinates of two points;

(X1 , Y1) = (-9, -9)

(X2 , Y2) = (-6, -12)

Find:

Slope of the line

Computation:

\(Slope\ of\ the\ line =\frac{y2 - y1}{x2 - x1}\)

By putting values;

\(Slope\ of\ the\ line =\frac{(-12 + 9)}{(-6 + 9)}\)

\(Slope\ of\ the\ line = \frac{-3}{3}\)

Slope of the line = -1

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Answer:

They won 27 games

Step-by-step explanation:

10% of 30 is 3,

so 30-3= 27

\(\\ \rm\hookrightarrow \sqrt{x-6}=x-12\)

\(\\ \rm\hookrightarrow x-6=(x-12)^2\)

\(\\ \rm\hookrightarrow x-6=x^2-24x+144\)

\(\\ \rm\hookrightarrow x^2-25x+150=0\)

\(\\ \rm\hookrightarrow x^2-10x-15x+150=0\)

\(\\ \rm\hookrightarrow (x-10)(x-15)=0\)

\(\\ \rm\hookrightarrow x=15\:or \:10\)

Answer:

\(x = 15,10\) || C and D is the correct choices.

Step-by-step explanation:

\(\sqrt{x-6}=x-12\)

\(x-6 =(x-12)^2\)

\(x-6 = x^2 -24x +144\)

\(x^2 -24x -x +144 +6 = 0\)

\(x^2 - 25x + 150= 0\)

\(x^2 -15x -10x +150=0\)

\(x(x-15)-10(x-15)=0\)

\((x-15)(x-10) = 0\)

\(x = 15,10\)

Answer:

6.8

Step-by-step explanation:

To round 6.752 to the nearest tenth consider the hundredths’ value of 6.752, which is 5 and equal or more than 5. Therefore, the tenths value of 6.752 increases by 1 to 8.

The matrix operation add -4(row 1) to row 3 is\(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\0&-9&2&12\end{array}\right]\)

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

\(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\4&-1&6&-8\end{array}\right]\)

From the question, we understand that

We are to add -4(row 1) to row 3

This means that

row 3 = row 3 - 4 * row 1

When these values are evaluated, we have

4: 4 - 4 * 1 = 0

-1: -1 - 4 * 2 = -9

6: 6 - 4 * 1 = 2

-8: -8 - 4 * -5 = 12

This means that we relace 4, -1, 6, and -8 in row 3 with 0, -9, 2 and 12

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

\(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\0&-9&2&12\end{array}\right]\)

Hence, the result of the matrix expression is \(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\0&-9&2&12\end{array}\right]\)

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Answer:

25,

-7

Step-by-step explanation:

r ° q= r(q(x))= (-x+2) ^2

So, using perfect square trinomial,

\((-x+2)^{2} =x^{2} -4x+4\)

Thus q(-3)=25

q(r(x))= (-x^2)+2=-7

Answer:

m<ZXY - m<WXZ   = m<WXY  

Step-by-step explanation:

given:

point Z is in the interior of <WXY creating XZ.

if m<WXZ = 20

  m<WXY = 100

find:

what would equation would you set up to find the missing angle measure?

solution:

Since Z is interior of <WXY

m<ZXY - m<WXZ   = m<WXY

<WXY =  100  - 20  = 80°

therefore, the equation would be  m<ZXY - m<WXZ   = m<WXY  

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer:

a=25

Step-by-step explanation:

Answer:

a=25

Step-by-step explanation:

Solve for a by simplifying both sides of the equation, then isolating the variable

Given:

To arrange the angles in increasing order, we first get the value of their cosines as shown below:

Therefore, the angles in increasing order of their cosines are:

Step-by-step explanation:

I hope this answer is helpful ):

Answer: it = 100 thats your answer

The percentage of young adults who exercised four or five days a week is 36%

Out of the 25 young adults surveyed, a total of 4 people exercised four days a week and 5 people exercised five days a week. To calculate the percentage of young adults who exercised four or five days a week, we add the number of people who exercised four days a week to the number of people who exercised five days a week, which gives us a total of 9.

We then divide this by the total number of people surveyed (25) and multiply by 100 to get the percentage.

So the percentage of young adults who exercised four or five days a week is

(9/25) x 100 = 36%

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Answer: 48 more monthly payments

Step-by-step explanation:

9514 1404 393

Answer:

  221 hours

Step-by-step explanation:

The population is given by the exponential equation ...

  population = (initial value) × (1 +growth rate)^t

where the units of t are the same as the units of growth rate.

This lets us write ...

  p(t) = 5000×1.01^t

We want this to be 45000, so ...

  45000 = 5000×1.01^t

  9 = 1.01^t . . . . . . . . . . . . divide by 5000

  log(9) = t×log(1.01) . . . . take logs

  t = log(9)/log(1.01) ≈ 220.8

It will take about 221 hours for the population to reach 45000.

The Kentucky state had a deficit of $ 2, 539 million, the Ohio state had a surplus of $12, 367 and Pennsylvania state which had a deficit of $686.

The income statement of the account of a company means the amount of cash in flow of a company for a particular period of time.

The expense statement of account of a company is the amount of money spent from the company's income for a particular period of time.

From the table above the difference in income and expenses of each state is calculated this;

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Answer:

21 Assignments were NOT English.

Answer:

17.32 meters

Step-by-step explanation:

Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.

Using trigonometry, we can calculate that:

tan (60) = H / 10

H = 10 * tan (60)

H = 10 * √3

H = 17.32 m

Therefore, the height of the tower is 17.32 meters.

Let me know if I helped :)

Answer:

19.8 miles!!!!!!!!!+!

Answer:

The answer is

→ 19.8 miles

Step-by-step explanation:

Edward ran 11.90 miles in a week.

Tiffany ran 7.9 miles in a week.

The question is asking how far they ran in total.

Well, to answer that we have to set up what we have to add.

\(11.90+7.9=19.8\)

Therefore, 19.8 is your answer.

Hope this helped! :^)

Answer:

0.66 melones por niño o 2/3

Step-by-step explanation:

10/15=2/3=0.66

The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.

The length of the container is 2.76 meters.

The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).

The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).

Now we can calculate the volume of the container:

Volume = Length × Width × Height

Volume = 2.76 meters × 2.35 meters × 1.96 meters

Volume ≈ 12.9516 cubic meters (rounded to four decimal places)

Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

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Answer:

300

Step-by-step explanation:

621 rounds to 600 because 21 is smaller than 50. 267 round to 300 since 67 is bigger than 50.

600-300=300

Answer:

113° = y

Step-by-step explanation:

y = 180 - 67

y = 113°

Hope this helps!