Complete the steps to find the area of the trapezoid.
Area of rectangle = square units
Area of triangle 1 = square units
Area of triangle 2 = square units
Area of triangle 3 = square units
Area of trapezoid = square units

Answer: 478.68cm

Step-by-step explanation:

Answer: D) A =478.68

DNA is akin to a cell's "brain" in that it contains all the instructional genetic information for the cell. The Central Dogma of Molecular Biology details how this information is transmitted within the cell to produce proteins, which ultimately define the cell's structure and function. Cell differentiation and function are determined by environmental signals and gene expression.

The analogy of DNA being like a cell's "brain" suggests that DNA serves a fundamental role in controlling the functions of a cell, much like the brain controls the functions of the body. DNA contains all the hereditary information necessary for protein synthesis, and these proteins determine the structure and function of the cell. The process by which DNA directs protein synthesis involves transcription (where instructions in DNA are converted into messenger RNA), and translation (where ribosomes read this RNA to build proteins based on the sequence of amino acids encoded within the DNA). This mechanism is known as the Central Dogma of Molecular Biology.

Each cell in our body, regardless of its specific role, contains the same DNA. However, the way in which this DNA is expressed – which genes are turned on or off – determines the function and type of the cell. This differentiation process is guided by the cell's environment and the signals it receives. Additionally, it's important to realize that while DNA contains the instructions, it's through the replication process, along with transcription and translation, that living cells are continuously renewing and passing on these instructions. Cells do not arise anew from DNA; instead, every cell comes from the division of a previous cell, carrying the genetic blueprint forward.

1. 140

2. 3

3. 9

4. 7

5. 0

6. 160

7. 30

8. 70

9. 4

10. 90

Answer:

y=4x

Step-by-step explanation:

First, find the slope

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

We know 2 points, (2,8) and (12,48).

(2,8) can be (x1, y1)

(12,48) can be (x2, y2)

We can say that y2 is 48, y1 is 8, x2 is 12, and x1 is 2. Substitute them in

[tex]m=\frac{48-8}{12-2}[/tex]

[tex]m=\frac{40}{10}[/tex]

m=4

Now, we can use the point slope formula, since we have a point and the slope

[tex]y-y_{1} =m(x-x_{1})[/tex]

We know m, the slope is 4. We also know a point (2,8), which is (x1, y1). Substitute them in

y-8=4(x-2)

Distribute the 4

y-8=4*x-2*4

y-8=4x-8

Add 8 to both sides

y=4x

Answer:

y=4x

Step-by-step explanation:

You are given 3 points that are on this line. (0,0) which is the origin, (2,8) and (12,48)

Find the slope with (2,8) and (12,48)

Remember the slope formula:

(y2-y1) / (x2 - x1)

So:

(48 - 8) / (12 - 2)

40/10 = 4

And the y- intercept is 0 because the line goes through the origin.

So the equation is:

y=4x

Hope this helps!!

Answer:

equation d

Step-by-step explanation:

The equation that best describes the relationship between the number of students and the number of tables is N = 40t. This equation can be obtained by observing the given data points and identifying the pattern. It can be verified by substituting the values of the number of students and tables.

The equation that best describes the relationship between the number of students and the number of tables is N = 40t, where 'N' represents the number of students and 't' represents the number of tables. This equation is obtained by observing the given data points and identifying the pattern. For example, when the number of tables is 18, the number of students is 720, which can be represented as 720 = 40 * 18.

To verify this equation, let's check the other given data points. When the number of tables is 15, the number of students is 600, which can be represented as 600 = 40 * 15. Similarly, when the number of tables is 24, the number of students is 960, which can be represented as 960 = 40 * 24. Therefore, the equation N = 40t best represents the relationship between the number of students and the number of tables.

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The mean number of minutes spent on social media by Guilherme's dormmates is 15.5 minutes.

Mean of minutes dormmates spent on social media = All minutes each dormmate spent/ no. of dormmates.

In this case,

13 + 0 + 14 + 36 + 18 + 12/ 6 dormmates

= 93/ 6

= 15.5 minutes.

Answer:

Jack is incorrect because a triangle's interior angles should add up to 180°.

Step-by-step explanation:

jack’s solution is incorrect. The sum of the three angles of his triangle is not 180°, which is the sum of the angles of any triangle. The sum of his angles is 238°.

Answer:

Jack’s solution is incorrect. The sum of the three angles of his triangle is not 180°, which is the sum of the angles of any triangle. The sum of his angles is 238°.

Step-by-step explanation:

I just did it

Plan B is the better investment option due to its higher effective annual interest rate compared to Plan A.

The better plan is Plan B.

To compare, we can look at the effective annual interest rates for both plans. Plan A with semi-annual compounding has an effective annual interest rate of 2.75% x 2 = 5.5%. Plan B with annual compounding has a higher effective annual interest rate of 5.8%.

This indicates that Plan B would generate more returns over the same period compared to Plan A.

Answer:

Half 43.5

The same 87

Twice as much 174

Step-by-step explanation:

The arc measure is approximately [tex]\(1.518 \pi\)[/tex] times the central angle. So, it's larger. The answer is B.

To find the measure of the arc corresponding to a central angle, you can use the formula:

[tex]\[ \text{Arc measure} = \frac{\text{Central angle}}{360^\circ} \times \text{circumference of the circle} \][/tex]

Since a full circle has a circumference of [tex]\( 2\pi \)[/tex] units, and the central angle is 87 degrees, you can substitute these values into the formula:

[tex]\[ \text{Arc measure} = \frac{87^\circ}{360^\circ} \times 2\pi \][/tex]

[tex]\[ \text{Arc measure} = \frac{87}{360} \times 2\pi \][/tex]

[tex]\[ \text{Arc measure} \approx 0.2417 \times 2\pi \][/tex]

[tex]\[ \text{Arc measure} \approx 1.518 \pi \][/tex]

Now, compare the result to the central angle. Since the arc measure is approximately [tex]\(1.518 \pi\)[/tex], and the central angle is 87 degrees, it's clear that the arc is larger than the central angle. So the correct answer is:

B. Twice as much

Complete Question:

If a central angle measures 87degree, then its arc will measure _____.

A. half as much

B. twice as much

C. the same

Answer:

A on edgen.

Step-by-step explanation:

Answer:

The answer is four.

Step-by-step explanation

It starts off with 250 and 70

then it would go to 260 and 140

then it should be 270 and 210

then 280 and 280

Next time try to work it out : )

The amount of discount is always subtracted by the original price to find the sale price.

The formula is SP=MP-Discount

for eg: If MP is $5000 and discount given is $ 1000 then we have to find SP by using the formula:SP=MP-Discount

So it results to $4000.

Hope it will help u and make u understand...

Answer:

tkae j ad by f then subtracr the u then add the c then multply k then say u

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i used a calculator multiple times :)

Answer:

x=82

Step-by-step explanation:

There are 180 degrees in a triangle.

24+74=98

180-98=82

Answer:

add the angles and subtract them from 180

Step-by-step explanation:

24+74=98

180-98=82

Answer:

A B

Step-by-step explanation:

We start at the origin

We go 7 units to the right

Then we go 6 units up

We end at the point B

Answer:

b

Step-by-step explanation:

go along the x or horizontal axis first to 7, then go up 7 or along the y axis 7 and where they intersect is the point.

Answer:

5n

Step-by-step explanation:

They are charging 5 dollars per person and n is the number of students.  You would multiply 5 by n (the number of students) to see how much money they raised.

Answer:

A

Step-by-step explanation:

hope this helps:))

Answer:

vbnvbnvbnvnvbnvbnvbnvbn

Step-by-step explanation:

vbnvbnvbnvbnvbn  vbn v

Answer:

x = 1, -5

Step-by-step explanation:

Use the formula (b/2)^2 in order to create a new term. Then, you solve for x by using this term to complete the square.

Answer:

(1, -5)

Step-by-step explanation:

x² + 4x - 5 = 0

(x - 1)(x + 5)

x - 1 = 0

x = 1

x + 5 = 0

x = -5

Answer:

1. Payment History

2. Amount of Debt he or she owes

3. Credit Age/History

4. Credit Inquiries

Step-by-step explanation:

Answer:

10th term: 40

11th term: 45

12th term: 50

Step-by-step explanation:

Substitute 10, 11 and 12 as n and solve the equation.

Answer:

R (all real numbers)

Step-by-step explanation:

You can use every value for x, so the domain is "everything".

Answer:

Let b = base of triangular block

h = height of triangular block

b = 2h

(1/2)(2h)(h) = 100

h² = 100

h = 10 inches, b = 20 inches

Answer:

$142,750

Step-by-step explanation:

To find how much money will be made we have to multiply the cost to park in a parking lot by the number of cars in that parking lot.

To find the amount made from satellite parking:

6.50 * 3,500 = 22,750

$22,750 is the amount made from cars parked in the satellite lot.

To find the amount made from the arena lot:

10.00 * 12,000 = 120,000

$120,000 were made from cars parked in the arena lot.

To find the total amount of how much was made, add the two amounts together.

22,750 + 120,000 = 142,750

In total, $142,750 was made.

Answer:

[tex]5[/tex]

Step-by-step explanation:

add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

[tex] \frac{6 + 9 + 4 + 1 + 7 + 3}{6} [/tex]

[tex] \frac{30}{6} = 5[/tex]

Answer:

Option B

7/64

Step-by-step explanation:

Since the she bought 7/8 of a pound of grapes, the amount of grapes that Timothy's mum will be sharing is only 7/8 of a pound

Total number of kids = 6

To get the amount that each kid will get, we will have to divide 7/8 by 6

Hence we have

[tex]\frac{7}{8} \times \frac{1}{6}= \frac{7}{64}[/tex]

Hence, each child will get 7/64 of a pound of grapes, if the grapes are shared equally.

Answer:

B. 7/64

Step-by-step explanation:

Since Timothy's mom bought 7/8 of a pound of grapes, the amount of grapes that she will split between 8 kids will be:

7/8 ÷ 1/8 = 7/64

Therefore, each kid will get 7/64 of a pound of grapes, if the grapes are splitted equally.

Answer:

you earn 20 dollars for 5 cars

Step-by-step explanation:

7 times what equals 28

that is 4

4 times 5 is 20

Answer:

20

Step-by-step explanation:

So, you first need to divide 28 by 7, to get the amount that you get paid per car. Your answer should be $4 per car. Then, you need to multiply 4 by 5, because you want to know how much you earn for 5 cars. 4x5=20. 20 is your final answer. (I hope this helps you!)

Answer: I got 2/7

Step-by-step explanation:

The required probability of the sheep being male is 2/7 or 0.286 or 28%.

Given that,
Tabulated data has been given in the image for cow, sheep, horse chicken, and pigs for their male and female frequencies.
Probability for sheep in males to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events. Probability = Favorable Events / Total outcomes

Total number of male S(n) = 14
Number of male sheep E(n) = 4
Probability for sheep in males = E(n) / S(n)
                                                  = 4 /14
                                                  = 2 / 7

Thus, the required probability of the sheep being male is 2/7 or 0.286 or 28%.

Learn more about probability here:

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