Aligned Sequence =CCCATGTCC CTCATGTTT CGCGTGACC CCGATGGTG Determine the patrogy for where the first in the one. Ashould be indeman HR__H-2H___ WINS ___ HC__ ?

Answer:

Step-by-step explanation:

sin²x+cos²x = 1. No Matter What is the value of x. For Explanation: Sin x is opposite_side/hypotenuse of a Right angle triangle. Cos x is adjacent_side/hypotenuse of a Right angle triangle.

The volume of the cylinder with a height of 18m and a base diameter of 12m is approximately 1940.4 cubic meters, rounded to the nearest tenths place. It is important to remember to use the correct formula and units when calculating the volume of a cylinder.

The volume of a cylinder can be calculated using the formula V=πr²h, where r is the radius of the base and h is the height of the cylinder.

The diameter of the base is given as 12m, which means the radius would be half of that, or 6m. Substituting these values in the formula, we get V=π(6)²(18), which simplifies to V=1940.4 cubic meters.


To find the volume of a cylinder, we need to know its height and the diameter of its base. In this case, the height is given as 18m and the base diameter as 12m.

We can calculate the radius of the base by dividing the diameter by 2, which gives us 6m.

Using the formula V=πr²h, we can substitute these values to get the volume of the cylinder. After simplification, we get a volume of 1940.4 cubic meters, rounded to the nearest tenths place. Therefore, the volume of the cylinder with a height of 18m and a base diameter of 12m is approximately 1940.4 cubic meters.

The volume of a cylinder can be calculated using the formula V=πr²h, where r is the radius of the base and h is the height of the cylinder. In this case, the volume of the cylinder with a height of 18m and a base diameter of 12m is approximately 1940.4 cubic meters, rounded to the nearest tenths place. It is important to remember to use the correct formula and units when calculating the volume of a cylinder.

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Answer:

2n - 12 + 4

Step-by-step explanation:

Distribute 2 across the n+6, get 2 x n and get 2n, and 2 x -6 = -12

u need this m8, good day

Answer:

the sum of p amd 7

hopefully this helped :3

Answer:

D

Step-by-step explanation:

Since addings answer is a sum

p+7

D

Answer:

The answer to your question is given below.

Step-by-step explanation:

From the question given,

m∠1 + m∠2 = m∠4

To prove that:

m∠3 + m∠1 + m∠2 = 180°

We simply do the following:

m∠3 + m∠4 = 180°.... (1) (angle on a straight line)

But from the question given,

m∠4 = m∠1 + m∠2

Substitute the value of m∠4 into equation (1)

m∠3 + m∠4 = 180°

m∠3 + m∠1 + m∠2 = 180° QED

Answer:

B and C

Step-by-step explanation:

(15)

The opposite sides of a parallelogram are equal , so

CD = AB , that is

7x - 54 = 5x - 2 ( subtract 5x from both sides )

2x - 54 = - 2 ( add 54 to both sides )

2x = 52 ( divide both sides by 2 )

x = 26

Then

CD = 7x - 54 = 7(26) - 54 = 182 - 54 = 128 → B

(16)

Consecutive angles are supplementary, sum to 180° , then

6y + 19 + 2y + 9 = 180

8y + 28 = 180 ( subtract 28 from both sides )

8y = 152 ( divide both sides by 8 )

y = 19

Then

∠ B = 6y + 19 = 6(19) + 19 = 114 + 19 = 133°

Opposite angles are congruent , so

∠ D = ∠ B = 133° → C

Given:

Coordinates of point C are (-3,6).

Point B(0,5.5) is the midpoint of AC.

To find:

The coordinates of A.

Solution:

Let the coordinates of point A are (a,b).

Formula for midpoint:

\(Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)

Using the above formula, the midpoint of A(a,b) and C(-3,6) is

\(B=\left(\dfrac{a+(-3)}{2},\dfrac{b+6}{2}\right)\)

\((0,5.5)=\left(\dfrac{a-3}{2},\dfrac{b+6}{2}\right)\)

On comparing both sides, we get

\(\dfrac{a-3}{2}=0\)

\(a-3=0\)

\(a=3\)

and,

\(\dfrac{b+6}{2}=5.5\)

\(b+6=11\)

\(b=11-6\)

\(b=5\)

Therefore, the coordinates of point A are (3,5).

Answer:

Step-by-step explanation:

perimeter of rectangle=2(length+width)

=2(70+65)

=2*135

=270 feet

The data collected by the ministry of health denotes C) Observational Study

The degree of movement along or opposite that may occur in one of the data values when another data value is increased or lowered, respectively, is shown by the correlation of two pairs of data values. An observational study selects participants from a sample of the community, but the independent variable is not controlled due to moral considerations, outside influence, and occasionally, restrictions.

To gather data on office employment and worker health concerns, the health ministry only provides questionnaires to employees every five years. They are only keeping an eye on the employees, and the survey enables them to evaluate and draw a connection between working in an office and health issues among employees. This makes the study an observational one.

Complete Question:

The ministry of health was interested in the relationship between the office habits of workers and health issues. Each year, they distributed a survey to all workers in the public sector that contained various questions on work habits as well as a standard health questionnaire. After 5 years they gathered and analyzed the entire data.

A) Sample study

B)Experiment

C) Observational Study

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The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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(c) 336, After being struck with a hammer, a gong vibrates 48 vibrations in the first second.

In each second thereafter, it makes 6/7 as many vibrations as in the previous second. To find the total number of vibrations the gong makes before it stops vibrating, you can use the formula for the sum of an infinite geometric series:

Sum = a / (1 - r), where 'a' is the first term and 'r' is the common ratio.

In this case, a = 48 (vibrations in the first second) and r = 6/7 (the fraction of vibrations in each subsequent second).

Sum = 48 / (1 - (6/7))
Sum = 48 / (1/7)
Sum = 48 * 7
Sum = 336

So, the gong makes 336 vibrations before it stops vibrating. The correct answer is (c) 336.

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Answer:

b

Step-by-step explanation:not b

Answer:

10.5 inches, 14 inches, 7 inches

Step-by-step explanation:

Let's say x is the multiplier of the ratio value and the actual length of the sides:

1/4 * x = side 1

1/3 * x = side 2

1/6 * x = side 3

Since the perimeter is the sum of all sides, the perimeter is equal to:

31.5 = 1/4 * x + 1/3 * x + 1/6 * x  ==> 31.5 inches is the perimeter

(31.5 = x/4 + x/3 + x/6)*12  ==> multiply the equation by 12 since 12 is the

                                           LCM (Least Common Multiple) of 4, 3, and 6

12 * 31.5 = 12 * x/4 + 12 * x/3 + 12 * x/6  ==> multiply each term by 12

378 = 12x/4 + 12x/3 + 12x/6 ==> simplify

378 = 3x + 4x + 2x

378 = 9x

x = 378/9 ==> divide both sides by 9

x = 42

Now find each side length [Refer to the first three equations] :

Side length 1: 1/4 * 42 = 42/4 = 10.5 inches

Side length 2: 1/3 * 42 = 42/3 = 14 inches

Side length 3: 1/6 * 42 = 42/6 = 7 inches

Answer: 10.5 inches, 14 inches, 7 inches

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Answer:

15.14%

Step-by-step explanation:

The formula for APR is stated thus:

APR=fees+interest/principal/n*365*100

principal is the loan amount of $700

fees is the processing fees on the loan which is $50

interest amount=principal*interest %=$700*8%=$56

n is the number of days of the loan which is a year i.e 365 days

APR=($50+$56)/$700/365*365*100

APR=$106/$700/365*365*100

APR=0.151428571 /365*365*100

APR=0.151428571 *100=15.14%

The annual percentage rate on the loan is 15.14% which represents the actual cost on the loan not just the interest cost of 8% annually

If the dot product of two nonzero vectors is zero, the vectors must be perpendicular to each other.if the dot product of two nonzero vectors is zero, the vectors must be perpendicular to each other. the given statement is True.

If the dot product of two vectors is equal to zero, it means that the two vectors are orthogonal or perpendicular to each other.A dot product of two nonzero vectors is zero when the cosine of the angle between the two vectors is 90 degrees or pi/2 radians.

Since the cosine of pi/2 radians is zero, any two vectors that are orthogonal will have a dot product of zero, and this applies to nonzero vectors as well.

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The value of x in the given equation, 3/5x - 1/3x = 42, is x = 157.5

From the question, we are to determine the value of x in the given equation.

The given equation is

3/5x - 1/3x = 42

To determine the value of x,

First, we will eliminate the denominators.

Multiply through by 15

15 × 3/5x - 15 × 1/3x = 15 × 42

3 × 3x - 5 × x = 630

9x - 5x = 630

4x = 630

Divide both sides by 4

4x/4 = 630/4

x = 157.5

Hence, the value of x is 157.5

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Step-by-step explanation:

if Andy loses 1/3 or 10/30, Ben has 20 more

If Andy gives 1/2 or 15/30, Ben will have 50 more

Answer:

13500 ft²

Step-by-step explanation:

     We can find the width of the rectangle using Pythagorean theorem.

AD² + DC² = AC²

180² + DC²  = 195²

32400 + DC² = 38025

              DC² = 38025 - 32400

                     = 5625

               DC = √5625

                      = 75 ft

length = 75 ft

Width = 180 ft

\(\sf \boxed{\text{\bf Area of rectangle = length * width}}\)

                                 =  75 * 180

                                  = 13500 ft²

The load each should get to maximize the profit is $67,500, $78,700 and $90,000

What Is Profit?

In accounting, a profit is an income that is given to the owner throughout a successful market producing process. Profitability, which is the owner's primary interest in the income-formation process of market production, is measured by profit. There are various profit metrics that are frequently used.

Let x represent the total number of laptops and y represent the total number of desktop computers.

A laptop computer occupies 2 cubic feet, hence x laptops each use 2x cubic feet. Desktop computers take up 5 cubic feet of space, hence 5y cubic feet of room is required for 5y desktop computers.

They require 2x + 5y cubic feet in total.

Since the delivery truck's maximum capacity is 800 cubic feet,

2x + 5y <= 800.

They must load at least 300 laptops because of the demand,

hence, x >= 300

They make $225 on each laptop, which translates to $225 times as many computers. They make a profit of $280 on each desktop computer, or $280y on y desktops.

Total profit is:

P=$(225x + 280y)

Draw the inequality system (see attached diagram)

2x + 5y <= 800.

x >= 300

One of the common region's three vertices will have the most profit:

P(300,0) = 225(300) + 280(0) = $67,500

P(300,40) = 225(300) + 280(40) = $78,700

P(400,0) = 225(400) + 280(0) = $90,000

Hence, each should load $67,500, $78,700 and $90,000 on the truck to maximize profit

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Answer:

EF = 20 cm

Step-by-step explanation:

Here, we want to find the length of EF

To do this, we use the principle of similar triangles

The similar triangles we are considering here will be ;

FEA and FBD

when two triangles are similar, the ratio of their corresponding sides are equal

Let us calculate DC first

we can use Pythagoras’ theorem here and it is that the square of the hypotenuse equals the sum of the square of the two other sides

Using the triangle EDC

15^2 = 12^2 + DC^2

DC^2 = 225-144

DC^2 = 81

DC = 9

So the entire length of BD is 9 + 12 = 21 cm

Thus, we have it that;

Let EF be x

so DF = 15 + x

Hence;

BD/DF = AE/EF

21/15+x = 12/x

21x = 12(15 + x)

21x = 180 + 12x

21x-12x = 180

9x = 180

x = 180/9

x = 20 cm

EF = 20 cm

I believe the answer is x=-2

Answer:

A

Step-by-step explanation:

Answer:

She can't do it, as there is not enough information for that.

Step-by-step explanation:

There is no logical way to do this, and I'm not sure which lesson you are doing

Solution:

Given the system;

Add equation1 to equation2, we have;

Substitute x = 5 in equation2;

ANSWER:

Answer:

Step-by-step explanation:

\(4(x+3)-7\geq x+3(x+1)\\4x + 12 - 7 \geq x+ 3x+ 3\\\)

isolate x

\(4x + 5 \geq 4x+ 3\\5 - 3 \geq 4x - 4x\\2\geq 0\)

since 2 is greater than 0, this is a true statement, meaning that for any x, the inequality is true. it is always true

x : (-∞, ∞)

the equation of the tangent to the curve at the point where x = 1 is:

y = 8x - 6

To find the equation of the tangent to the curve at the point where x = 1, we need to determine the slope of the tangent at that point and then use the point-slope form of a line to find the equation.

First, let's find the slope of the tangent. We can do this by finding the derivative of the function f(x) = x√(1 + 3x²) and evaluating it at x = 1.

f(x) = x√(1 + 3x²)

Taking the derivative of f(x) with respect to x:

f'(x) = √(1 + 3x²) + x * (1/2√(1 + 3x²)) * (6x)

Now, we can evaluate f'(x) at x = 1:

f'(1) = √(1 + 3(1)²) + 1 * (1/2√(1 + 3(1)²)) * (6(1))

Simplifying this expression:

f'(1) = √(1 + 3) + (1/2√(1 + 3)) * 6

f'(1) = √4 + (1/2√(4))* 6

f'(1) = 2 + (1/2)(2) * 6

f'(1) = 2 + 1 * 6

f'(1) = 2 + 6

f'(1) = 8

So, the slope of the tangent at x = 1 is 8.

Now that we have the slope, we can use the point-slope form of a line, which is:

y - y₁ = m(x - x₁)

Where:

m is the slope

(x₁, y₁) is the point on the line (x = 1, f(1))

Using the point-slope form, we can write the equation of the tangent:

y - f(1) = 8(x - 1)

Now, substitute the value of f(1) into the equation:

y - f(1) = 8(x - 1)

y - f(1) = 8x - 8

Since we know that f(1) = 1√(1 + 3(1)²), we can substitute it into the equation:

y - √(1 + 3(1)²) = 8x - 8

y - 2 = 8x - 8

y = 8x - 6

Therefore, the equation of the tangent to the curve at the point where x = 1 is:

y = 8x - 6

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AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

What is congruent ?

Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.

Step 1: Statement: \($\angle DBE = \angle EBC$\)

Reason: Given that overline BE bisects \($\angle DBC$\)

Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)

Reason: Angle sum property of a straight line.

Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)

Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.

Step 4: Statement: \($\angle ABC = \angle DBC$\)

Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).

Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)

Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.

Step 6: Statement: \($AB = BC$\)

Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).

Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

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Answer:

c)

subtract 5 times the second equation from 2 times the first equation

Step-by-step explanation:

subtract 5 times the second equation from 2 times the first equation

This will make the coefficient of the y variable 10

for both equations

10y - 10y = 0

leaving only x

The number of ways can the teacher assign out is 75.

Given that,

Based on the above information, the calculation is as follows:

\(= 15\times 5\)

= 75

Therefore we can conclude that The number of ways can the teacher assign out is 75.

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Step-by-step explanation:

x² x<1

-x²+4x-1 1<x<3

x-3 x>3

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