math Finding the root (30points!!!!!)

Math Finding The Root (30points!!!!!)

Answers

Answer 1

Answer:

p = [tex]\frac{12}{7}[/tex]

Step-by-step explanation:

let the root be α then the other root is 3α

The sum of the roots of a quadratic equation is

α + 3α = - [tex]\frac{b}{a}[/tex] = - [tex]\frac{-8}{7}[/tex] = [tex]\frac{8}{7}[/tex]

Thus 4α = [tex]\frac{8}{7}[/tex] ( divide both sides by 4 )

α = [tex]\frac{2}{7}[/tex]

The product of the roots of a quadratic equation are

α × 3α = [tex]\frac{c}{a}[/tex] = [tex]\frac{p}{7}[/tex], that is

3α² = [tex]\frac{p}{7}[/tex] ← substitute value of α

3 × ([tex]\frac{2}{7}[/tex] )² = [tex]\frac{p}{7}[/tex]

3 × [tex]\frac{4}{49}[/tex] = [tex]\frac{p}{7}[/tex]

[tex]\frac{12}{49}[/tex] = [tex]\frac{p}{7}[/tex] ( cross- multiply )

49p = 84 ( divide both sides by 49 )

p = [tex]\frac{84}{49}[/tex] = [tex]\frac{12}{7}[/tex]


Related Questions

How many different 3-digit numbers can be made using the digits 6, 7, and 8 if no digit is reapeated? One digit is repeated?​

Answers

Answer:

You can make infinite 3-digit number using the digits 6,7 and 8. Hope it helps :)

PLEASE HELP PLEASE 100 POINTS PLUS BRAINLIEST
(I had the answer already but it deleted and now I can’t find it)

Answers

Step-by-step explanation:

Area of Sector

= θ/360° * πr² (degrees) or 0.5r²θ (radians)

Question 11:

(88°)/360° * π(19)² = 277.23ft².

Question 12:

(260°)/360° * π(11)² = 274.54mi².

Question 13:

0.5(6.2)²(7π/12) = 35.22km².

Question 14:

0.5(7.1)²(5π/3) = 131.97cm².

Question 15:

(215°)/360° * π(4.5)² = 37.99yd².

Question 16:

0.5(21.4)²(13π/18) = 519.54m².

here is the answers!

Area of Sector

= θ/360° * πr² (degrees) or 0.5r²θ (radians)

Question 11:

(88°)/360° * π(19)² = 277.23ft².

Question 12:

(260°)/360° * π(11)² = 274.54mi².

Question 13:

0.5(6.2)²(7π/12) = 35.22km².

Question 14:

0.5(7.1)²(5π/3) = 131.97cm².

Question 15:

(215°)/360° * π(4.5)² = 37.99yd².

Question 16:

0.5(21.4)²(13π/18) = 519.54m².

Solve the equation.
7(1 – 8x) – 6 = 169

Answers

Answer:

x=-3

Step-by-step explanation:

rearrange terms

distribute

subtract the numbers

subtract 1 from both sides of the equation

simplify

Answer:

Step-by-step explanation:

Here you go mate

Step 1

7(1-8x)-6=169  Equation/Question

Step 2

7(1-8x)-6=169  Simplify

-56x+1=169

Step 3

-56x+1=169  Subtract 1

-56x=168

Step 4

-56x=168  Divide both sides

Answer

x=-3

Will mark brainliest!!!Solve for each variable

Answers

Answer:

n=5, m = 4

Step-by-step explanation:

It is a parallelogram so m+8 = 3m and 2n-1 = 9

Write an expression to represent each problem. Then, draw a model to solve.
1.
How many fourths are in 3 fourths?

Answers

(3/4) / (1/4) = 3
Their are 3 fourths in 3/4. Kinda a trick question that seems too simple but it correct.

Part2
Please help I’ll make u brainly

Answers

Answer:

someone game me that same question but sadly i wasn't able to get the answer sorry for the inconvience

Step-by-step explanation:

Answer:

3. 2nd degree. Leading term:

[tex] {3x}^{2} [/tex]

Leading coefficient: 3x

Part 1:

[tex] {2x}^{2} + 11x + 15[/tex]

Part 2:

[tex] {3x}^{2} - x - 2[/tex]

Part 3:

[tex] - {x}^{2} + 12x + 17[/tex]

(Part 3 should be correct, double check it, I think it cancels out the minuses in the part 2 equation?)

P.S. I forgot to solve the equations on this and the first page, don't forget that and I can leave another answer for those if you need!

This question has 2 parts.
Part A: Matt has 2/3 yard of fishing line. He uses 3/8 of the line to make fishing knots. How much fishing line does he use to make fishing knots?
Part B: Kara says Matt uses 25/24 of the line to make knots. Explain Kara’s error and tell how to use an equation to find the amount of line Matt uses.

Answers

Answer:

um well i can do part A

Step-by-step explanation:

its 6/24 which equals 1/4 yards

Brian has reduced his cholesterol level by 14% after his last check up. If his original level was 180, what is his approximate cholesterol level now?

Answers

Answer:

154.8 is you answer

Step-by-step explanation:

Pls help I don’t know what to do and it’s due today

Answers

Answer:

it's easier if you use the scan & solve. that brainly provided for you

Step-by-step explanation:

Ryan's garden=1.3 yards wides

We know that,

1 yard=0.914 meters

so,

1.3 yards=0.914×1.3=1.1882=1.9

So,

Ryan's garden is 1.9 meters wide.

39) Solve the inequality: 4(x+5)≤116
A. x≤−51
B. x≤−40
C. x≤24
D. x≥24

Answers

Answer:

x≤24

Step-by-step explanation:

4(x+5)≤116

x+5≤29

x≤29-5

x≤24

U-substitutions only work for specific kinds of expressions. Below, you are asked to choose a value of n for which u-substitutions will be a useful integration technique. Then, you are to compute the antiderivative with that specific n. (E.g., if n = 5 makes u-subs work, then solve the integral with a 5 in place of n).
(a) [ zºeke*+1 "'de
(b) /co cos(1/2) dr
(c) / r+n dr 22 + 8x - 4

Answers

Answer:

Step-by-step explanation:

(a) [tex]\int x^n e^{5x^4+1} \ dx[/tex]

Suppose [tex]5x^4 + 1 = f[/tex]

by differentiation;

[tex]\implies \ 20 x^3 dx = df --- (1)[/tex]

Suppose n = 3

Then, the integral

[tex]I = \int x^ 3 e^{5x^4 + 1} \ dx[/tex]

[tex]= \int e^f \ \dfrac{df}{20}[/tex]

[tex]= \dfrac{1}{20} \int e^f \ dt[/tex]

[tex]= \dfrac{1}{20} e^f + C[/tex]

recall that [tex]f = 5x^4 + 1[/tex]

Then;

[tex]\mathbf{ I = \dfrac{1}{20}e^{5x^4+1}+C}[/tex]

(b) [tex]\int \dfrac{cos (\dfrac{1}{x^3})}{x^n } \ dx[/tex]

suppose; [tex]\dfrac{1}{x^3} = f[/tex]

[tex]x^3 = f[/tex]

[tex]\implies -3x^{-4} \ dx = df[/tex]

[tex]\implies \dfrac{1}{x^4} \ dx =-\dfrac{1}{3} df[/tex]

If n = u, then the integration is:

[tex]I = \int \dfrac{1}{x^4} \ cos (\dfrac{1}{x^4}) \ dx[/tex]

[tex]= \int -\dfrac{1}{3} \ cos \ f \ df[/tex]

[tex]= -\dfrac{1}{3} \int \ cos \ f \ df[/tex]

[tex]= -\dfrac{1}{3} \ sin \ f + C[/tex]

Since;  [tex]x^3 = f[/tex]

Then;

[tex]\mathbf {I = -\dfrac{1}{3} \ sin \ \Big( \dfrac{1}{x^3}\Big) + C}[/tex]

(c) [tex]\int \dfrac{x+n}{x^2 + 8x -4} \ dx[/tex]

Suppose  [tex]x^2 + 8x - 4 = f[/tex]

Then, by differentiation of both sides

[tex](2x + 8) \ dx = df[/tex]

[tex](x + 4) \ dx = \dfrac{1}{2} \ df[/tex]

Suppose n = 4 in integration, then:

[tex]I = \int \dfrac{(x + 4) }{x^2 +8x -4} \ dx[/tex]

By substitution;

[tex]I = \int \dfrac{1}{2}\dfrac{1}{f} \ df[/tex]

[tex]= \dfrac{1}{2} \ \ { In |f|} + C[/tex]

[tex]\mathbf{= \dfrac{1}{2} \ \ { In |x^2+8x -4|} + C}[/tex]

The suitable substitutions of n are 3,4,4 respectively.

What is integration?

The process of finding integrals is called integration.

a)[tex]f(x)=\int\limits {x^3e^{5x^4+1} } \, dx[/tex]

Suppose

[tex]5x^4+1 =t\\20x^3 dx =dt[/tex]

So, we need n=3 for easy integration.

[tex]f(x)=\int\limits {x^3e^{5x^4+1} } \, dx[/tex]

[tex]I = \frac{1}{20} \int\limits {e^{t} } \, dt[/tex]

[tex]I=\frac{e^{t} }{20}[/tex]

[tex]I = e^{5x^{4}+1 }/20 +c[/tex]

b)Similarly for [tex]f(x) = \int\limits\frac{cos(\frac{1}{x^3} )}{x^n} \, dx[/tex]

n=4 is needed for easy integration.

I = [tex]\frac{-1}{3} sin(\frac{1}{x^3} ) +c[/tex]

c)For [tex]f(x) = \int\limits \frac{x+n}{x^{2} +8x-4} \, dx[/tex]

n=4 is needed for easy integration.

[tex]I = \frac{1}{2} log(x^{2} +8x-4)[/tex]

Hence, the suitable substitutions of n are 3,4,4 respectively.

To get more about integration visit:

https://brainly.com/question/2633548





A TV that usually sells for $171.38 is on sale for 15% off. If sales tax on the TV is 9%, what is the price of the TV, including tax?

Answers

Answer:

171.38 - 15% plus tax= 171.23

Hope this helped!

I got 15 but not sure

Answer this question
(Factors of 36)

1,36


_,_

_,_

4,9

_,_

*please answer asap!*

Answers

Answer:

1,36  2,18  3,12  4,9 and 6,6

Step-by-step explanation:

If you multiply them, they equal 36

Marcos owns and operates a shuttle service that runs every hour and transports customers between their hotels and the city's downtown area. Let X represent the number of customers on a randomly chosen trip.
Based on previous data, here is the probability distribution of X along with summary statistics:
X = # of customers 0 1 2 3
P(X) 0.10 0.20 0.30 0.40
Mean: μx = 2
Standard deviation: σx = 1
Suppose that each trip costs Marcos $1 in fuel regardless of how many customers he has, and each customer on a trip pays him $10. Let Y represent Marcos' net gain from a randomly chosen trip. What are the mean and standard deviation of Y?

Answers

Answer:

Mean y = 19 ; SD y = 10

Step-by-step explanation:

Given that:

No of customers : __ 0 ____ 1 _____ 2 ___ 3

P(x) : ___________0.10 __ 0.20 __0.30 _0.40

Fuel cost =$1 (constant)

Amount paid per customer =$10

Number of customers = x

σx = 1 ; μx = 2

σ^2 = 1^2 = 1

Mean of Y

μy = E(Y)

= E(10x - 1)

= 10(Ex) - 1

E(x) = 2

= 10(2) - 1

= 20 - 1

= 19

σY = SD(y)

SD(10x - 1)

10*SD(x) - 1

SD(x) = 1

10(1) - 0

Note : SD of a constant = 0

10 - 0

= 10

The mean of Y is 19 and the standard deviation of Y is 10 and this can be determined by using the given data.

Given :

Marcos owns and operates a shuttle service that runs every hour and transports customers between their hotels and the city's downtown area. Let X represent the number of customers on a randomly chosen trip.Standard deviation: σx = 1 Suppose that each trip costs Marcos $1 in fuel regardless of how many customers he has, and each customer on a trip pays him $10. Let Y represent Marcos' net gain from a randomly chosen trip.

The mean of Y can be calculated as given below:

[tex]\rm \mu(Y)=E(Y)[/tex]

[tex]\rm \mu(Y)=E(10x - 1)[/tex]

[tex]\rm \mu(Y) = 10E(x) - 1[/tex]

According to the given data, the value of E(x) is 2. Substitute the value of E(x) in the above expression.

[tex]\rm \mu(Y) = 10(2) - 1[/tex]

[tex]\rm \mu(Y) = 19[/tex]

Now, the standard deviation of Y can be calculated as:

[tex]\rm \sigma_Y=SD(Y)[/tex]

[tex]\rm \sigma_Y=SD(10x-1)[/tex]

[tex]\rm \sigma_Y=10SD(x)-SD(1)[/tex]

The value of SD for a constant is zero.

[tex]\rm \sigma_Y=10(1)-0[/tex]

[tex]\rm \sigma_Y = 10[/tex]

For more information, refer to the link given below:

https://brainly.com/question/12402189

A convex polygon has 6 sides what is the sum of its interior angles​ 1980°.​

Answers

Step-by-step explanation:

Sum of interior angles in a polygon

= 180°(n - 2), where n is the number of sides.

Hence a convex polygon with 6 sides

=> 180°(6 - 2) = 720°.

Amy purchased a brand–new mountain bike, which she's riding through the winding trails. The bike's displacement is given by
s(t) = t3 − 2t2 + 3. What is the bike's acceleration after three minutes?

Answers

Answer:

a = 14 m/min²

Step-by-step explanation:

The displacement of bike is given by :

[tex]s(t)=t^3-2t^2+3[/tex]

Velocity, [tex]v=\dfrac{ds(t)}{dt}[/tex]

Finding velocity of the bike.

[tex]v=\dfrac{d}{dt}(t^3-2t^2+3)\\\\=3t^2-4t[/tex]

Acceleration, [tex]a=\dfrac{dv(t)}{dt}[/tex]

[tex]a=\dfrac{d}{dt}(3t^2-4t)\\\\=6t-4[/tex]

At t = 3 minutes,

a = 6(3) - 4

= 18-4

= 14 m/min²

So, the bike's acceleration after 3 minutes is 14 m/min².

.12 divided by 7.15 please put step by step thank you

Answers

Answer:

59.58333

Step-by-step explanation:

715/12

write in long division format ( which u did )

divide 71 by 12 to get 5

multiply 71 by 12 = 5

subtract 60 by 71

bring down the next number

115/12 =9

multiply 12 by 9

subtract 180 by 115

add a decimal on the top and bring down zero

divide 70 by 12 = 5

multiply 5 by 12

subtract 60 - 70

bring down a zero

divide 100 by 12 = 8

multiply 12 by 8

subtract 96 by 100

bring down zero

divide 40 by 12 = 3

anddd u get the point

sorry it took so long

Use substitution to determine which system is represented by the graph.

Answers

Answer:

2x + 4y = 28

-2y = x + 28

Step-by-step explanation:

Looking at the graph, we can see that the lines do not intersect. Therefore, they do not have a shared solution. We need to find the system of equations that does not have a solution.

1) Let's try to solve the third system given (counting from the top). To solve with the substitution method, we need to isolate one variable in one of the equations. I chose to isolate y in -2y = x + 28:

[tex]-2y = x + 28\\y = \frac{-1}{2}x -14[/tex]

2) Now that we've isolated the y in that equation, substitute what y equals in that equation for the y in the other equation. So, substitute [tex]\frac{-1}{2}x-14[/tex] for y in 2x + 4y = 28 and simplify:

[tex]2x + 4(\frac{-1}{2}x - 14) = 28\\2x - 2x- 64 = 28\\-64 = 28[/tex]

In a normal situation, the x's would not cancel out, and we would be able to isolate x to get the x-value of the solution. However, in this case, they have, and we ended up with a false statement, as -64 does not equal 28. Whenever this happens, it means the system does not have a solution. Therefore, the third option would represent the system in the graph.

The given graph shows the simultaneous relationship of equations 2x + 4y = 28 and  -2y = x + 28. Option C is correct.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
From the graph, the two lines represents the simultaneous relationship,
Where,

The slope of the both lines is,
m = -1/2

And y-intercept of both lines is,
C₁ = 7 and C₂ = - 14

Now,
equations  of the lines are,
y = -x/2 + 7 and y = -x/2 - 14
x + 2y = 14  and x + 2y = -28
or
2x + 4y = 28  - - - - -  -(1) and  -2y = x + 28 - - - - - - -(2)

Now,
From equation 2 substitute y in equation 1
2x + 4[-x - 28]/2= 28
2x - 2x - 56 = 28
-56 = 28
So the lines are parallel and has no solution.

Thus, the given graph shows the simultaneous relationship of equations 2x + 4y = 28 and  -2y = x + 28. Option C is correct.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ2

Start with 2. Add 6 to each term to get the following term. What is the 6th term of the sequence?

Answers

Answer:

32

Step-by-step explanation:

We can either add all the terms.

2+6=8

2,8

8+6=14

2,8,14

14+6=20

2,8,14,20

20+6=6

2,8,14,20,26

26+6=32

2,8,14,20,26,32

The Sixth term is 32

or We can multiply 6 times 5 (30) and add 2, which would give us 32.

The reasoning behind this is that we are adding six five times (so six times five) and we are also adding the first term (2).

I need help please if you can

Answers

Answer:

i really dont know

Step-by-step explanation:

i just dont

The econ motel charges $260 for four nights at this rate how much would seven nights cost

Answers

Answer:

$455 for seven nights

Step-by-step explanation:

260/4= 65

65 is the cost for 1 night

65*7=455

Answer:

$455

Step-by-step explanation:

260 divided by 4 will give you how much for one night so then multiply that answer by 7 and you have your answer.


Consider following situation, which involves two options. Determine which option is less expensive. Are there unstated factors that might affect your decision?
You currently drive 325 miles per week in a car that gets 14 miles per gallon of gas. You are considering buying a new fuel-efficient car for S16,000 (after trade-in on your current car that gets 47 miles per gallon
premiums for the new and old car are $1000 and $600 per year, respectively. You anticipate spending $1500 per year on repairs for the old car and having no repairs on the new car. Assume gas costs $3.50 pen
ive-year period, is it less expensive to keep your old car or buy the new car?
a five-year period, the cost of the old car iss) and the cost of the new car issThus, over a five-year period, it is less expensive to
and to the nearest dollar as needed

Answers

9514 1404 393

Answer:

  it is less expensive to purchase a new car

Step-by-step explanation:

The expected cost of gas, insurance, and repairs for the old car are ...

  Total miles in 5 years = (325 mi/wk)(52 wk/yr)(5 yr) = 84,500 mi

Old car

  Gas cost in 5 years = (84,500 mi)/(14 mi/gal)($3.50/gal) = $21,125

  Insurance cost in 5 years = (5 yr)($600/yr) = $3,000

  Repair cost in 5 years = ($1500/yr)(5 yr) = $7,500

  Total operating cost in 5 years = $21125 +3000 +7500 = $31,625

__

New Car

  Gas cost in 5 years = (84,500 mi)/(47 mi/gal)($3.50/gal) ≈ $6,293

  Insurance cost in 5 years = (5 yr)($1000/yr) = $5,000

  Repair cost in 5 years = (0)(5 yr) = 0

  Total operating cost in 5 years = $6293 +5000 = 11,293

__

Difference in operating costs is $31,625 -11,293 = $20,332.

It is less expensive to purchase a new car for any price less than $20,300. If the new car costs only $16,000, it is the less-expensive option.

Purchase of a new car is the least-expensive option.

__

Additional comments

The cost of financing, annual license fees, and resale value of the new car may also come into play. In addition, the relative non-economic values of consumption of new materials, adding old materials to the scrap heap, and environmental pollution may figure in the decision. While the car dealer may pay for maintenance costs of a new car, it seems likely that at least one set of tires will be required in 5 years (85000 miles). (Assuming wheel alignment is not an issue for tire wear, that cost may balance out for the two cars.)

Find all real zeros of the function y= -5x - 7.

Answers

The answer is this hope this help you

Find two consecutive whole numbers that 34 lies between.

Answers

Answer:

34 lies in between 5 and 6

5^2=25, 6^2=36, so sqrt(34) lies between 5 and 6

HELP ASAP
What is the area of the shaded region?
(2571 - 48) cm
O (2517 - 30) cm
(2517 - 24) cm
(257-12) cm

Answers

Answer:

Step-by-step explanation:

We are given a circle with a partially shaded region. First, we need to determine the area of the whole circle. To do this, we need the measurement of the radius of the circle:

Use the Pythagorean theorem to solve for the other leg of the right triangle inside the circle:

5^2 = 3^2 + x^2

x = 4

The radius is 4 + 1 cm = 5 cm

So the area of the circle is A = pi*r^2

A = 3.14 * (5)^2  

A = 25pi cm^2

To solve for the area of the shaded region:

Ashaded = Acircle - Atriangles

we need to solve for the area of the triangles:

A = 1/2 *b*h

A = 1/2 *6 * 5

A = 15 cm^2

Atriangles = 2 * 15  

Atriangles = 30 cm^2

Ashaded = 25pi - 30

True or false
$24 fir 6 ft of chain represents a rate of $4 per foot of chain

Answers

Answer:

I think its true but im not sure

Step-by-step explanation:

I will give a brainlist if someone could answer this problem with a explanation:)

Answers

Answer:

Step-by-step explanation:

The two base angles in each triangle are equal. (The triangle is isoceles and the property used is angles opposite equal sides are equal).

Now the tricky part. The peak angles are also equal. That's because both peak angles are made equal by Peak angle + 2*base angle = 180

Peak angle = 180 - 2*base angle

Therefore the triangles are congruent by SAS.  

I suppose you could get them equal by taking one of the base angles (all 4 are equal to each other) and the peak angles and claim equality by ASA, but it seems a little bit tortuous to me.

How many distinct ways can all the letters on "Geometry" be arranged to form a new "Word"?

Answers

Geo stands for science it’s a greek prefix and the suffix means nothing

Suppose potato chips cost 22.5 cents per ounce. What would a bag of chips cost if it contained 12 oz? Round your answer to the nearest cent, if necessary

Answers

Answer:

the anser is 22.10

Step-by-step explanation:

you have to round to the nearest ten. here is a tip 4 or down round down 5 or up round up now you are good to go! and also to find me if you need help

Which is the hidden question in this problem?
Jason bought 6 season tickets to the theatre. Each ticket cost $120.
A season parking pass cost $30. How much did Jason spend for the tickets and the parking pass?
A Will the tickets cost more than $1,500?
B. How much more is the cost of the tickets than the cost of the parking pass?
How much do six season tickets cost?
D
How much will two parking passes cost?

Answers

Answer

how much more is the cost of tickets than the cost of parking pass

Step-by-step explanation:\

i think, sorry if im wrong but its kinda hard to understand what you typed.

Answer:

A: No the tickets won't cost more than $1500.

B: 90 more dollars.

6 season tickets cost $720

D: 2 parking tickets will cost $60

Other Questions
The sum is rational or irrational number? A company's relevant range of production is 10,000 to 15,000 units. When it produces and sells 12,000 units, its unit costs are as follows: Amount per Unit Direct materials $ 10.00 Direct labor $ 6.00 Variable manufacturing overhead $ 1.50 Fixed manufacturing overhead $ 5.00 Fixed selling expense $ 3.50 Fixed administrative expense $ 2.00 Sales commissions $ 1.00 Variable administrative expense $ 0.50 What is the incremental cost incurred if the company increases production from 12,000 to 12,001 units ESAY MATH PLS HELPis this sss,sa,aa,or none What were 2 unimportant chapters in To Kill A Mocking Bird? Find X in this picture. d=7/2cm. The radius is ____ cm. will give brainliest:)-2x-(12x-8) hallppp!!MODELING REAL LIFE Lightning strikes Earth 1000 times in 10 seconds.a. How many times does lightning strike in 12 seconds?Lightning strikes ? times in 12 seconds.Question 2b. How many seconds does it take for lightning to strike 7250 times?It takes ? seconds for lightning to strike 7250 times. What is a modern screen's aspect ratio today?A. 4:6B. 16:9C. 4kD. 20 mega pixels HELP ASAP!! MARKING BRAINLIEST!!! WORTH 10 POINTS FIRST PERSON TO ANSWER CORRECTLY GETS BRAINLIEST!!!!Which action occurred as a direct result of Upton Sinclairs work?A. Meat industry workers were replaced by machines.B. New laws were passed to ensure better quality of food.C. Consumers began a large-scale boycott of the meat industry.D. People were taught how to better prepare food for consumption. help me with this please:) There are some bacteria that are good for our bodies, because they help keep things in balance. Which of the following is NOT true regarding viruses and bacteria?A) A virus cant reproduce on its own.B)Viruses are smaller in size than bacteria.C)Viruses contain DNA, but bacteria do not.D)Only bacteria is considered to be living. La universidad es impresionante. son impresionantes.Las universidadesLas universidadLa universidadesLos universidades Help Plzzzzzz......... HELP PLEASE!!! BRAINIEST REWARD AND 10 POINTS!!!!!!!!!(Which flaw in the dwarves' plan does Bilbo discover?)A-One burglar alone cannot steal the entire hoard of Thror.B-Smaug's diamond armor will make it difficult for the dwarves to attack him.C-The Arkenstone of Thrain is missing.D-The people of Esgaroth expect a share of the treasure. 12 eggs for $3. How much is the cost per egg?3 pounds of peanuts for $7.50. How much is the cost per pound?4 rolls of toilet paper for $2. How much is the cost per roll?10 apples for $3.50. How much is the cost per apple? 20 points for ez question lolWhich are characteristics of effective presentations? Check all that apply.The presentation is well organized.The presenter speaks clearly.The presenter reads from notecards.The presentation is enhanced with visual aids.The presentation includes some delay to set up audio or video.The presentation captures the audiences attention. Francis surveyed a random sample of 70 students at Franklin High School about their favorite season. Of the students surveyed, 18 chose fall as their favorite season. There are 181618161816 students at Franklin High School.Based on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall? Theof a wave is the amount of time it takes one wavelength to pass a point. What is NOT a characteristic of Nazism?a. Authoritarianismb. Totalitarianismc. Nationalismd. Militarisme. Democracyf. Expansiong. Economic Sovereignty