For an arc length s, area of sector A, and central angle θ of a circle of radius r, find the indicated quantity for the given value. r= 6.45 in, θ= 5 pi\6, s=?

For An Arc Length S, Area Of Sector A, And Central Angle Of A Circle Of Radius R, Find The Indicated

Answers

Answer 1

Calculate the arc length by using the following formula:

[tex]s=r\theta[/tex]

Replace the values of r and θ and simplify:

[tex]\begin{gathered} s=(6.45in)(5\frac{\pi}{6})=(6.45)(\frac{5}{6})(3.14) \\ s=16.8775in \end{gathered}[/tex]

Hence, the arc length is 16.8775 in


Related Questions

PLEASE HELP I WILL GIVE BRAINLYEST!! ALGEBRA 1 HW ​

Answers

start at 4 on the positive y axis, then go up 3 and 5 to the left

slope = - 3/2

y - intercept: ( 0, 4 )

Which expression is equivalent to ( 43.4-2)-2 ?

Answers

EXPLANATION

The expression that is equivalent to (43,4 - 2)-2 is given appyling the distributive property as follows:

-86.8 + 4 = -82.8

Which of the following would be a good name for the function that takes the length of a race and returns the time needed to complete it?

Answers

In general, a function f(x) means that the input is x and the output is f(x) (or simply f).

Therefore, in our case, the input is the length of the race and the outcome is the time.

The better option is Time(length), option A.

help meeeee pleaseeeee!!!





thank you

Answers

The values of f(0), f(2) and f(-2) for the polynomial f(x) = [tex]-x^{3} +7x^{2} -2x+12[/tex] are 12, 28 and 52 respectively.

According to the question,

We have the following function:

f(x) = [tex]-x^{3} +7x^{2} -2x+12[/tex]

Now, in order to find the value of f(0), we will put 0 in place of x.

f(0) = [tex]-0^{3} +7(0)^{2} -2(0)+12[/tex]

f(0) = 0+7*0-0+12

(More to know: when a number is multiplied with 0 then the result is always 0 even the number being multiplied with zero is in lakhs.)

f(0) = 0+0-0+12

f(0) = 12

Now, in order to find the value of f(2), we will put 1 in place of x:

f(2) = [tex]-2^{3} +7(2)^{2} -2(2)+12[/tex]

f(2) = -8+7*4-4+12

f(2) = -8+28-4+12

f(2) = 40 -12

f(2) = 28

Now, in order to find the value of f(2), we will put -2 in place of x:

f(-2) = [tex]-(-2)^{3} +7(-2)^{2} -2(-2)+12[/tex]

f(-2) = -(-8) + 7*4+4+12

f(-2) = 8+28+4+12

f(-2) = 52

Hence, the value of f(0) is 12, f(2) is 28 and f(-2) is 52.

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use the point slope formula and the given points to choose the correct linear equation in slope intercept form (0,7) and (4,2)

Answers

We have to write the equation of the line that passes through (0,7) and (4,2) in point-slope form.

We start by using the points to calculate the slope m:

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-7}{4-0}=-\frac{5}{4}[/tex]

Then, if we use point (0,7), we can write the equation in point-slope form as:

[tex]\begin{gathered} y-y_0=m(x-x_0) \\ y-7=-\frac{5}{4}(x-0) \\ y=-\frac{5}{4}+7 \end{gathered}[/tex]

Answer: the equation is y = -(5/4)*x + 7

An empty rectangular tank measures 60 cm by 50 cm by 56 cm. It is being filled with water flowing from a tap at rate of 8 liters per minute. (a) Find the capacity of the tank (b) How long will it take to fill up (1 liter = 1000 cm

Answers

(a) The capacity of the tank is its volume, which we can calculate by multipling its sides:

[tex]V=abc=60\cdot50\cdot56=168000[/tex]

This is, 168000 cm³. It is equivalent to 168 L.

(b) If the tank is being filled at a rate of 8 liters per minute, we can find the time to fill ir by dividing its capacity by the rate:

[tex]t=\frac{168}{8}=21[/tex]

That is, it will take 21 minutos to fill it up.

Transform AABC by the following transformations:• Reflect across the line y = -X• Translate 1 unit to the right and 2 units down.87BА )5421-B-7-6-5-4-301245678- 1-2.-3-5-6-7-8Identify the final coordinates of each vertex after both transformations:A"B"(C"

Answers

SOLUTION

A reflection on the line y = -x is gotten as

[tex]y=-x\colon(x,y)\rightarrow(-y,-x)[/tex]

So, the coordinates of points A, B and C are

A(3, 6)

B(-2, 6)

C(3, -3)

Traslating this becomes

[tex]\begin{gathered} A\mleft(3,6\mright)\rightarrow A^{\prime}(-6,-3) \\ B(-2,6)\rightarrow B^{\prime}(-6,2) \\ C(3,-3)\rightarrow C^{\prime}(3,-3 \end{gathered}[/tex]

Now translate 1 unit to the right and 2 units down becomes

[tex]\begin{gathered} A^{\prime}(-6,-3)\rightarrow A^{\doubleprime}(-5,-5) \\ B^{\prime}(-6,2)\rightarrow B^{\doubleprime}(-5,0) \\ C^{\prime}(3,-3\rightarrow C^{\doubleprime}(4,-5) \end{gathered}[/tex]

So, I will attach an image now to show you the final translation.

A car used 15 gallons of gasoline when driven 315 miles. Based on this information, which expression should be used to determine the unit rate of miles per gallon of gasoline?

Answers

Given trhat a car used 15 gallons of gasoline to cover 315 miles.

The expression that will be used to determine the unit rate of miles per gallon of gasoline is:

[tex]\frac{315\text{ miles}}{15\text{ gallons}}[/tex]

ANSWER:

[tex]\frac{315\text{ miles}}{15\text{ gallons}}[/tex]

(c) Given that q= 8d^2, find the other two real roots.

Answers

Polynomials

Given the equation:

[tex]x^5-3x^4+mx^3+nx^2+px+q=0[/tex]

Where all the coefficients are real numbers, and it has 3 real roots of the form:

[tex]x_1=\log _2a,x_2=\log _2b,x_3=\log _2c[/tex]

It has two imaginary roots of the form: di and -di. Recall both roots must be conjugated.

a) Knowing the sum of the roots must be equal to the inverse negative of the coefficient of the fourth-degree term:

[tex]\begin{gathered} \log _2a+\log _2b+\log _2c+di-di=3 \\ \text{Simplifying:} \\ \log _2a+\log _2b+\log _2c=3 \\ \text{Apply log property:} \\ \log _2(abc)=3 \\ abc=2^3 \\ abc=8 \end{gathered}[/tex]

b) It's additionally given the values of a, b, and c are consecutive terms of a geometric sequence. Assume that sequence has first term a1 and common ratio r, thus:

[tex]a=a_1,b=a_1\cdot r,c=a_1\cdot r^2[/tex]

Using the relationship found in a):

[tex]\begin{gathered} a_1\cdot a_1\cdot r\cdot a_1\cdot r^2=8 \\ \text{Simplifying:} \\ (a_1\cdot r)^3=8 \\ a_1\cdot r=2 \end{gathered}[/tex]

As said above, the real roots are:

[tex]x_1=\log _2a,x_2=\log _2b,x_3=\log _2c[/tex]

Since b = a1*r, then b = 2, thus:

[tex]x_2=\log _22=1[/tex]

One of the real roots has been found to be 1. We still don't know the others.

c) We know the product of the roots of a polynomial equals the inverse negative of the independent term, thus:

[tex]\log _2a_1\cdot2\cdot\log _2(a_1\cdot r^2)\cdot(di)\cdot(-di)=-q[/tex]

Since q = 8 d^2:

[tex]\begin{gathered} \log _2a_1\cdot2\cdot\log _2(a_1\cdot r^2)\cdot(di)\cdot(-di)=-8d^2 \\ \text{Operate:} \\ 2\log _2a_1\cdot\log _2(a_1\cdot r^2)\cdot(-d^2i^2)=-8d^2 \\ \log _2a_1\cdot\log _2(a_1\cdot r^2)=-8 \end{gathered}[/tex]

From the relationships obtained in a) and b):

[tex]a_1=\frac{2}{r}[/tex]

Substituting:

[tex]\begin{gathered} \log _2(\frac{2}{r})\cdot\log _2(2r)=-8 \\ By\text{ property of logs:} \\ (\log _22-\log _2r)\cdot(\log _22+\log _2r)=-8 \end{gathered}[/tex]

Simplifying:

[tex]\begin{gathered} (1-\log _2r)\cdot(1+\log _2r)=-8 \\ (1-\log ^2_2r)=-8 \\ \text{Solving:} \\ \log ^2_2r=9 \end{gathered}[/tex]

We'll take the positive root only:

[tex]\begin{gathered} \log _2r=3 \\ r=8 \end{gathered}[/tex]

Thus:

[tex]a_1=\frac{2}{8}=\frac{1}{4}[/tex]

The other roots are:

[tex]\begin{gathered} x_1=\log _2\frac{1}{4}=-2 \\ x_3=\log _216=4 \end{gathered}[/tex]

Real roots: -2, 1, 4

keith lives 5/6 mile north of the school Karen lives 2/3 Mile North of the school what is the distance from Keith's house to Karen's house?

Answers

The distance from Keith's house to Karen's house is

= 5/6 - 2/3

= 5/6 - 4/6

= 1/6 miles

Allison earns $6,500 per month at her job as a principal the chart below shows the percentages of her budget. how much does Allison pay for her mortgage

Answers

Total earning for Allison is $6,500 per year

mortage = 24.6%

he spent 24.6% of his salary on mortgage

24.6 / 100 x 6500

0.246 x 6500

= $ 1599

He spent $1,599 on mortgage

A)State the angle relationship B) Determine whether they are congruent or supplementary C) Find the value of the variable D) Find the measure of each angle

Answers

Answer:

a) Corresponding

b) Congruent, since they have the same measure.

c) p = 32

d) 90º

Step-by-step explanation:

Corresponding angles:

Two angles that are in matching corners when two lines are crossed by a line. They are congruent, that is, they have the same measure.

Item a:

Corresponding

Item b:

Congruent, since they have the same measure.

Item c:

They have the same measure, the angles. So

3p - 6 = 90

3p = 96

p = 96/3

p = 32

Item d:

The above is 90º, and the below is the same. So 90º

Which phrase best describes the translation from the graph y = 2(x-15)² + 3 to the graph of y = 2(x-11)² + 3?O4 units to the left4 units to the rightO 8 units to the leftO 8 units to the rightMark this and returnSave and ExitNextSubmit

Answers

Given:

it is given that a graph of the function y = 2(x-15)^2 + 3 is translated to the graph of the function y =2(x - 11)^2 + 3

Find:

we have to choose the correct option for the given translation.

Explanation:

we will draw the graphs of both the functions as following

The graph of the function y = 2(x - 15)^2 + 3 is represented by red colour and the graph of the translated function y = 2(x - 11)^2 + 3 is represented by blue colour in the above graph.

From, the graphs of both functions, it is concluded that the graph of the translated function is shifted 4 units to the left.

I need help finding the area of the sector GPH?I also have to type a exact answer in terms of pi

Answers

Let us first change the 80° to radians.

[tex]\text{rad}=80\cdot\frac{\pi}{180}=\frac{4\pi}{9}[/tex]

so we get that the area is

[tex]\frac{2}{9}\pi\cdot12^2=144\cdot\frac{2}{9}\pi=32\pi[/tex]

so the area is 32pi square yards

What is the surfacearea of the cone?2A 225π in²B 375m in²C 600T in²D 1000 in 225 in.15 in.

Answers

We are given a cone whose radius is 15 inches and slant height is 25 inches. We need to solve for its surface area.

To find the surface area of a cone, we use the following formula:

[tex]SA=\pi rl+\pi r^2[/tex]

where r = radius and l = slant height.

Let's substitute the given.

[tex]\begin{gathered} SA=\pi(15)(25)+\pi(15^2) \\ SA=375\pi+225\pi \\ SA=600\pi \end{gathered}[/tex]

The answer is 600 square inches.

Which question can be answered by finding the quotient of ?
A. Jared makes of a goodie bag per hour. How many can he make in of an hour?
B. Jared makes of a goodie bag per hour. How many can he make in of an hour?
C. Jared has of an hour left to finish making goodie bags. It takes him of an hour to make each goodie bag. How many goodie bags can he make?
D. Jared has of an hour left to finish making goodie bags. It takes him of an hour to make each goodie bag. How many goodie bags can he make?

Answers

Below question can be answered by finding the quotient of :

C. Jared has of an hour left to finish making goodie bags. It takes him of an hour to make each goodie bag. How many goodie bags can he make?

What is quotient ?

In arithmetic, a quotient is a number obtained by dividing two numbers. A quotient is widely used throughout mathematics and is often referred to as the whole number or fraction of a division or  ratio.

The number we get when we divide a number by another is the quotient. For example,  8 ÷  = 2; here the result of  division is 2, so it is a quotient. 8 is the dividend and  is the divisor.

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Determine the probability of flipping a heads, rolling a number less than 5 on a number cube and picking a heart from a standard deck of cards.
1/12
16/60 or 4/15
13/156
112

Answers

The probability of flipping a heads is 1/2, probability of rolling a number less than 5 is 2/3, and probability of picking a heart from a standard deck of cards is 1/4.

What is probability?

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. The probability of an event is always a number b/w 0 and 1, with 0 approximately says impossibility and 1 says surity.

We can find probability using the formula:

P = required out comes/ total outcomes

In first case the required out come is only one which is heads and total outcomes include both heads and tails,

Therefore, required outcome = 1

total outcome = 2

Probability = 1/2

In second case the required out come are number less than five which are 1, 2, 3, 4 and a number cube have numbers till 6.

Therefore, required outcome = 4

total outcome = 6

Probability = 4/6 = 2/3

In third case the required out come hearts card and there are 13 hearts card in a card deck and total outcomes include all types of cards which are 52,

Therefore, required outcome = 13

total outcome = 52

Probability = 13/52 = 1/4

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3. Solve using the Laws of Sines Make a drawing to graphically represent what the following word problem states. to. Two fire watch towers are 30 miles apart, with Station B directly south of Station A. Both stations saw a fire on the mountain to the south. The direction from Station A to the fire was N32 W. The direction from Station B to the fire was N40 ° E. How far (to the nearest mile) is Station B from the fire?

Answers

Let's make a diagram to represent the situation

The tower angle is found by using the interior angles theorem

[tex]\begin{gathered} 50+58+T=180 \\ T=180-50-58=72 \end{gathered}[/tex]

It is important to know that the given directions are about the North axis, that's why we have to draw a line showing North to then find the interior angles on the base of the triangle formed.

To find the distance between the fire and Station B, we have to use the law of sines.

[tex]\frac{x}{\sin58}=\frac{30}{\sin 72}[/tex]

Then, we solve for x

[tex]\begin{gathered} x=\frac{30\cdot\sin 58}{\sin 72} \\ x\approx26.75 \end{gathered}[/tex]Hence, Station B is 26.75 miles far away from the fire.

What is the domain of the function represented by the graph?

Answers

All real numbers (In interval form (-∞,∞) )

Given,

From the graph,

To find the domain of the function.

Now,

We know that a domain of a function is the set of the all the x-values for which the function is defined.

By looking at the graph of the function we see that it is a graph of a upward open parabola and the graph is extending to infinity on both the side of the x-axis this means that the function is defined all over the x-axis i.e. for all the real values.

Also, we know that the function will be a quadratic polynomial since the equation of a parabola is a quadratic equation and as we know polynomial is well defined for all the real value of x.

The domain of the function is:

Hence,  All real numbers (In interval form (-∞,∞) )

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Determine whether the arc is a minor arc, a major arc, or a semicircle of R. Questions 25 nd 27

Answers

We can find the missing angles using the drawing below.

Then,

[tex]\begin{gathered} 360=60+60+55+x+y \\ \text{and} \\ 55+y=x \\ \Rightarrow240=2(55+y) \\ \Rightarrow120=55+y \\ \Rightarrow y=65 \\ \Rightarrow x=120 \end{gathered}[/tex]

Therefore

25)

Arc JML covers an angle equal to 65+55+60=180; thus, ArcJML is a semicircle of R.

27)

Junior's brother is 1 1/2 meters tall. Junior is 1 2/5 of his brother's height. How tall is Junior? meters

Answers

To determine Junior's height you have to multiply Juniors height by multiplying 3/2 by 7/5his brother's height by 1 2/5.

To divide both fractions, first, you have to express the mixed numbers as improper fractions.

Brother's height: 1 1/2

-Divide the whole number by 1 to express it as a fraction and add 1/2

[tex]1\frac{1}{2}=\frac{1}{1}\cdot\frac{1}{2}[/tex]

-Multiply the first fraction by 2 to express it using denominator 2, that way you will be able to add both fractions

[tex]\frac{1\cdot2}{1\cdot2}+\frac{1}{2}=\frac{2}{2}+\frac{1}{2}=\frac{2+1}{2}=\frac{3}{2}[/tex]

Junior's fraction 1 2/5

-Divide the whole number by 1 to express it as a fraction and add 2/5

[tex]1\frac{2}{5}=\frac{1}{1}+\frac{2}{5}[/tex]

-Multiply the first fraction by 5 to express it using the same denominator as 2/5, that way you will be able to add both fractions:

[tex]\frac{1\cdot5}{1\cdot5}+\frac{2}{5}=\frac{5}{5}+\frac{2}{5}=\frac{5+2}{5}=\frac{7}{5}[/tex]

Now you can determine Junior's height by multiplying 3/2 by 7/5

[tex]\frac{3}{2}\cdot\frac{7}{5}=\frac{3\cdot7}{2\cdot5}=\frac{21}{10}[/tex]

Junior's eight is 21/10 meters, you can express it as a mixed number:

[tex]\frac{21}{10}=2\frac{1}{10}[/tex]

The ratio of boys to girls in a school is 5:4. if there are 500 girls , how many boys are there in the school?

Answers

Answer:

The number of boys in the school is;

[tex]625[/tex]

Explanation:

Given that the ratio of boys to girls in a school is 5:4;

[tex]5\colon4[/tex]

And there are 500 girls in the school.

The number of boys in the school will be;

[tex]\begin{gathered} \frac{B}{G}=\frac{5}{4} \\ G=500 \\ B=\frac{5\times G}{4}=\frac{5\times500}{4} \\ B=625 \end{gathered}[/tex]

Therefore, the number of boys in the school is;

[tex]625[/tex]

Use the Law of Sines to solve the triangle. Round your answers to two decimal places. (Let b = 5.1.)

Answers

Given:-

An image with triangle.

To find:-

The value of B,a,c.

So the laws of sines are,

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex]

So now we substitute the known values. we get,

[tex]\frac{\sin16}{a}=\frac{\sin B}{5.1}=\frac{\sin125}{c}[/tex]

Now we find the value of B,

Since the sum of angles of the triangle is 180. we get,

[tex]\begin{gathered} A+B+C=180 \\ 16+B+125=180 \\ B+141=180 \\ B=180-141 \\ B=39 \end{gathered}[/tex]

So substituting the value we get,

[tex]\frac{\sin16}{a}=\frac{\sin 39}{5.1}=\frac{\sin125}{c}[/tex]

Now we find the value of a. we get,

[tex]\begin{gathered} \frac{\sin16}{a}=\frac{\sin 39}{5.1} \\ \frac{0.2756}{a}=\frac{0.6293}{5.1} \\ a=\frac{0.2756\times5.1}{0.6293} \\ a=2.2335 \end{gathered}[/tex]

Now we find c. we get,

[tex]\frac{0.2756}{2.2335}=\frac{\sin 125}{c}[/tex]

So

Check picture pls this is geometry work

Answers

Answer:

45

scalene

acute

Step-by-step explanation:

Answer: The triangle classified by the sides is 59 degrees.  The triangle is classified by the angel is 1

Step-by-step explanation:

A pair of parallel lines is cut by a transversal, as shown (see figure):Which of the following best represents the relationship between angles p and q?p = 180 degrees − qq = 180 degrees − pp = 2qp = q

Answers

we know that

In this problem

that means

answer isp=q

Answers asap please

Answers

x ≥ 1 or x ≥ 3 is inequality of equations .

What do you mean by inequality?

The allocation of opportunities and resources among the people who make up a society in an unequal and/or unfair manner is known as inequality. Different persons and contexts may interpret the word "inequality" differently.The equals sign in the equation-like statement 5x 4 > 2x + 3 has been replaced by an arrowhead. It is an illustration of inequity. This indicates that the left half, 5x 4, is larger than the right part, 2x + 3, in the equation.

9 - 4x ≥ 5

 4x ≥ 9 - 5

 4x ≥ 4

   x ≥ 1

4( - 1 + x) -6 ≥ 2

-4 + 4x - 6 ≥ 2

4x ≥ 2 + 8

4x ≥ 10

 x  ≥ 10/4

x ≥  5/2

x ≥ 2.5

x ≥ 1 or x ≥ 3

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Which statement best describes the area of the triangle shown below?

Answers

ANSWER

Option D - The area of this triangle is one-half of that of a square that has area of 12 square units

EXPLANATION

We want to the best description of the area of the triangle given.

To do this, we have to first find the area of the triangle.

The area of a triangle is given as:

[tex]A\text{ = }\frac{1}{2}(b\cdot\text{ h)}[/tex]

Where b = base and h = height

From the diagram, we have that:

b = 4 units

h = 3 units.

Therefore, the area of this triangle is:

[tex]\begin{gathered} A\text{ = }\frac{1}{2}(4\cdot\text{ 3)} \\ A\text{ = }\frac{1}{2}(12) \\ A\text{ = 6 square units} \end{gathered}[/tex]

Checking through the options, we see that the only correct option is Option D.

This is because the area of this triangle (6 square units) is one-half of that of a square that has area of 12 square units

Parallel to x = -4 and passing through the point (-3,-5)find the equation of the line

Answers

A line of the form x = a, where "a" is a number is a VERTICAL LINE. The graph of the line x = - 4 is shown below:

The line that is parallel to this will also be a vertical line of the form x = a.

The line parallel passes through (-3, -5). So, this will have equation

x = - 3

Answer[tex]x=-3[/tex]

use the number line to find the distance between -3 and -9

Answers

Answer:

a) 6

b) 6

-6

c) 6

6

Explanation:

a) For the number line, the distance will be the difference between the endpoint and the initial point as shown;

Distance = -3 - (-9)

Distance = -3 + 9

Distance = 6units

b) -3 - (-9)

= -3 + 9

= 6

c) -9 - (-3)

= -9 + 3

= -6

d) For the modulus

|-3 - (-9)|

= |-3 + 9|

= |6|

Since the modulus of a value returns a positive value, |6| = 6

e) |-9-(-3)|

= |-9+3)|

= |-6|

Since the modulus of a negative value gives a positive value, hence;

|-6| = 6

Answer:

a) 6

b) 6

-6

c) 6

6

Explanation:

a) For the number line, the distance will be the difference between the endpoint and the initial point as shown;

Distance = -3 - (-9)

Distance = -3 + 9

Distance = 6units

b) -3 - (-9)

= -3 + 9

= 6

c) -9 - (-3)

= -9 + 3

= -6

d) For the modulus

|-3 - (-9)|

= |-3 + 9|

= |6|

Since the modulus of a value returns a positive value, |6| = 6

e) |-9-(-3)|

= |-9+3)|

= |-6|

Since the modulus of a negative value gives a positive value, hence;

|-6| = 6

use Pythagoras rule to find the slant height of a cone a height of 8 and base radius of 6cm

Answers

The Pythagoras rule states that the square hypotenuse is equal to the sum of the squares of the other two sides

In this case, we are given both sides' measures and are asked about the hypotenuse. We leave the hypotenuse on the left side alone by applying the square root on both sides

L = √64+36

L= √100

L = 10

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Select all the correct answers.Look at the examples in highlighted text. Which shows the woman's problem of self-perceived poverty? (Choose three.) "No...there's nothing so humiliating... Her tastes were simple because... She suffered from the shabbiness of her house.. "Why, darling, I thought you'd be pleased... "Wear flowers," he said. "They're very smart... alex has been sued by jamie for failure to pay rent for their apartment, which kind of law will govern this lawsuit? group of answer choices civil law constitutional law administrative law criminal law g what are the coordinates of the image P for a dilation with center (0,0) and a scale factor 2? answer choices : (2,0) (0,6) (-4, 2) (0,5) Jan draws a card from the set below, replaces it and then draws another card. Which of the following tree diagrams correctly shows the sample space? Which part of a cell is the fluid environment where molecules are broken down and new molecules made? simplify 20:15simplify 35:49simplify 81:36simplify 27:45simplify 21:36pls help me im crying rn bro researchers often want to isolate a certain type of rna. for some rna species, this can be accomplished via affinity chromatography, using beads coated with chains of poly-deoxythymidine (poly-dt). the desired rna will stick to the beads while unwanted rnas will flow through the column. the retained rna can then be eluted. what rna species can be purified using this method? researchers often want to isolate a certain type of rna. for some rna species, this can be accomplished via affinity chromatography, using beads coated with chains of poly-deoxythymidine (poly-dt). the desired rna will stick to the beads while unwanted rnas will flow through the column. the retained rna can then be eluted. what rna species can be purified using this method? eukaryotic mrna eukaryotic rrna bacterial mrna bacterial rrna Select the correct answer.In whatway does the following line from James Joyce's "Araby" contribute to the symbolism of the story?She was waiting for us, her figure defined by the light from the half-opened door. A.Mangan's sister's attractive figure symbolizes the better life the narrator expects when he is older and has escaped his darkneighborhood.O B. The light mentioned here works symbolically with the "half-opened door" motif to suggest the narrator's confusion about what pathto take in life. C.Mangan's sister is associated with light in the is story's imagery because she is part of the narrator's hopes for a greater life.O D.The partial light reflects the sense of balance that the narrator seeks but finds missing in his "blind" street and dark neighborhood.O E. Mangan's sister, who is half-cloaked in light, symbolizes the dark buildings in and bright lights of the enchanting East.ResetNext how the garcia girls lost their accent Write the quadratic equation that has roots -1-rt2/3 and -1+rt2/3 if its coefficient with x^2 is equal to 1[tex]\frac{-1-\sqrt{2}}{3}[/tex] [tex]\frac{-1+\sqrt{2} }{3}[/tex] To access need-based federal aid, including federal loans you will need to submit _____. an income statement for sam's bookstore for the first quarter of the year is presented below: sam's bookstore income statement for quarter ended march 31 sales $ 980,000 cost of goods sold 680,000 gross margin 300,000 selling and administrative expenses selling $ 110,000 administrative 124,000 234,000 net operating income $ 66,000 on average, a book sells for $70. variable selling expenses are $4 per book with the remaining selling expenses being fixed. the variable administrative expenses are 3% of sales with the remainder being fixed. the net operating income using the contribution approach for the first quarter is: The quantatum mechanical model of an atom uses atomic orbitals to describe what Which geologic feature occurs at a convergent boundary(a) an ocean ridge(b) an earthquake(c) an aperture(d) a rill how did railroads affect western settlement in the late 1800s? responses railroads provided construction jobs and then connected markets throughout the nation. railroads provided construction jobs and then connected markets throughout the nation. railroads transported most of the settlers to the west coast where they started farms. railroads transported most of the settlers to the west coast where they started farms. railroads had little effect on settlement because most work was done through unions. railroads had little effect on settlement because most work was done through unions. railroads contributed to the discovery of minerals that brought settlers west. Simplify (v2 + 10v + 11)(v2 + 3v 4) using the distributive property of multiplication ove addition(DPMA) which of the following is a benefit of buying direct from a distributor? c. invest more resources in supplier selection and management. b. access to a wider bundle of products and emerging technologies a. lower prices and better service e. none of the above d. all of the above Solve.Draw a rectangular fraction model to explain yourthinking.Then, write a number sentence.1/3of3/7= Find an equation for the line that passes through the points (2,2) and (-6,4) Marty invested $7000 in treasury notes and stocks. The stocks paid 7% in the notes paid 8%, giving an annual income of $535. How much is invested into the treasury notes?