Evaluate the line integral ∫cf⋅dr∫cf⋅dr, where f(x,y,z)=−5xi+yj+zkf(x,y,z)=−5xi+yj+zk and c is given by the vector function r(t)=⟨sint,cost,t⟩, 0≤t≤3π/2.

Answers

Answer 1

[tex]\displaystyle\int_C\mathbf F\cdot\mathrm d\mathbf r=\int_0^{3\pi/2}\langle-5\sin t,\cos t,t\rangle\cdot\langle\cos t,-\sin t,1\rangle\,\mathrm dt[/tex]
[tex]=\displaystyle\int_0^{3\pi/2}(-6\sin t\cos t+t)\,\mathrm dt=\frac{9\pi^2}8-3[/tex]

Related Questions

Find the distance the point p(0,0,−4)p(0,0,−4) is to the line through the two points q(−4,1,−2q(−4,1,−2 ), and r(−2,0,−5r(−2,0,−5 ).

Answers

r(2,0-5r) is the correct answer !!!!!

Karl rides his bicycle 120 feet in 10 seconds. How many feet does he ride in 1 minute

Answers

A minute is 6 times as long as 10 seconds, so we expect Karl will ride 6 times as far.

[tex]\dfrac{120\,ft}{10\,s}=\dfrac{120\,ft}{10\,s}\cdot\dfrac{60\,s}{1\,min}=\dfrac{720\,ft}{1\,min}[/tex]

Karl rides 720 ft in 1 minute.

Answer:

720

Step-by-step explanation:

120/10 to find his feet per second which is 12 feet per second

12*60

since there are 60 seconds in a minute

= 720

The ice cream Palace received 3 gallons of strawberry ice cream, 5 pints of mocha ice cream, and 1 quart of vanilla ice cream today. How many pints of ice cream did they receive?

Answers

They recived 31 pints of ice cream

A laptop computer is purchased for $1300. After each year, the resale value decreases by 35%. What will the resale value be after 3 years?

Answers

[tex]\bf \qquad \textit{Amount for Exponential Decay}\\\\ A=I(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\to &1300\\ r=rate\to 35\%\to \frac{35}{100}\to &0.35\\ t=\textit{elapsed time}\to &3\\ \end{cases} \\\\\\ A=1300(1-0.35)^3\implies A=1300(0.65)^3[/tex]

The distance from Talamunda to Velcratia is 700 miles. The train takes 5 hours to travel the distance. At what unit rate is the train traveling?

Answers

[tex]\bf \stackrel{distance}{d}=\stackrel{rate}{r}\cdot \stackrel{time}{t}\quad \begin{cases} d=700\\ t=5 \end{cases}\implies 700=5r\implies \cfrac{700}{5}=r \\\\\\ \stackrel{mph}{140}=r[/tex]

Answer: 140 miles per hour

Step-by-step explanation:

I need the answer please

Answers

The correct answer is D

Solving for x
2x+6=x+5
2x-x=5-6
X= -1

"assume that josh throws the discus 36 times. let y denote the sum of the lengths of the 36 throws.
a. what is the expected value of y

Answers

Assuming that Josh throws the discus 36 times, the expected value of y will be the length each discus reaches for each throw all added together. Specifically, it will be discus throw one, plus discus throw two -- all the way to discus throw thirty-six. Adding all of those throws together will provide the expected value of Y.

A student has three mangos, two papayas, and two kiwi fruits. if the student eats one piece of fruit each day, and only the type of fruit matters, in how many different ways can these fruits be consumed

Answers

7! / ( 3! * 2! * 2! ) = 210

There are 210 different ways for the fruits can be consumed.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A student have 3 mangos, 2 papayas, and 2 kiwi fruits.

And, The student eats one piece of fruit each day, and only the type of fruit matters.

Now,

Total number of fruits = 3 + 2 + 2

= 7

And, There are 3 mangos, 2 papayas, and 2 kiwi fruits.

So, Number of ways for the fruits can be consumed, is calculated as;

= 7! / 3! 2! 2!

= 7 x 6 x 5 x 4 x 3! / 3! 2! 2

= 7 x 6 x 5 x 4 / 2 x 1 x 2 x 1

= 7 x 6 x 5

= 210

Thus, There are 210 different ways for the fruits can be consumed.

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The formula for glue says to add 50ml of hardener to each container of resin. How much hardener should be added to 15 containers of resin?

Answers

If you need 50 mL per container, you can write this as an equation. Hardener = Resin Containers * 50.
If you have 15 containers of resin, Hardener = 15 * 50 = 750.
So you need 750 mL of hardener.

Answer:

0.75

Step-by-step explanation:

What is the third term of the sequence defined by the recursive rule f(1)=2, f(n)=2f(n-1) +1

Answers

The function is defined recursively. In order to calulate f(3), f(2) and f(1) must be known. f(1) is given f(1) = 2 f(2) is then calculated f(2) = 2 * f(1) + 1 = 2 * 1 + 1 = 2 + 1 = 3 Finally f(3) can be calculated given f(2)=3 f(3)= 2 * f(2) + 1 = 2 * 3 + 1 = 6 + 1 = 7

How to factorise and appear a commun facteur

Answers

[tex]\bf \cfrac{x^2}{5}-5\\\\ -------------------------------\\\\ \textit{using "5" as the common factor, what is the 1st term? say is "n"} \\\\\\ 5\cdot n=\cfrac{x^2}{5}\implies n=\cfrac{x^2}{5\cdot 5}\implies n=\cfrac{x^2}{25} \\\\\\ thus\qquad 5\left(\frac{x^2}{25}-1 \right)\qquad \qquad \boxed{5\cdot \cfrac{x^2}{25}\implies \cfrac{x^2}{5}}[/tex]

Find three positive numbers whose sum is 100 and whose product is a maximum. (enter your answers as a comma-separated list.)

Answers

Let's start by solving this problem when there are only two positive numbers involved, and then see whether we can apply the same technique when there are three positive integers.

Let the two positive integers be x and y.
Then x + y = 100, and xy = the product.

Let's eliminate x. Solve x + y = 100 for x: x = 100 - y. Now subst. this last result into P = xy: P = product = (100 - y)(y) = 100y - y^2

Differentiating, dP/dy = 100 - 2y. Set this = to 0 and solve for y: -2y = -100, and y = 50. Since x + y = 100, x is thus also = to 50.

Solution set: (50,50).

Now suppose that three positive integers add up to 100, and that we want to maximize their product.

Then x + y + z = 100. Let's maximize f(x,y,z) = xyz (the product of x, y and z).

Since x + y + z = 100, we can eliminate z by solving x + y + z = 100 for z and subst. the result back into f(x,y,z) = xyz:

We get f(x,y) =xy(100-x-y), a function of two variables instead of three.

I won't go through the entire procedure of maximizing a function in three variables, but will get you started:

Find the 'partial of f with respect to x' and then the 'partial of f with respect to y'. Set each of these partial derivatives = to 0:

f = 0 = (partial of xy(100-x-y) with respect to x
x

= xy(partial of 100-x-y with respect to x) + (100-x-y)(partial of xy with respect to x)

= xy(-1) + (100-x-y)(y)

We must set this partial = to 0: -xy+100y-xy-y^2 = 0

-2xy + 100y - y^2 = 0

or y(-2x + 100 - y) = 0

of which y=0 is one solution and in which -2x + 100 - y = 0

You must now go through the same procedure with respect to the partials with respect to y.

If you'd like to continue this discussion, please respond with questions and comments.

If 300 cm2 of material is available to make a box with a square base and an open top, find the maximum volume of the box in cubic centimeters

Answers

check the picture below, recall the base is a square, so each side being equally "x".

[tex]\bf V(x)=x^2\left( \cfrac{300-x^2}{4x} \right)\implies V(x)=x^2\left( \cfrac{75}{x}-\cfrac{x}{4}\right) \\\\\\ V(x)=75x-\cfrac{x^3}{4}\implies \cfrac{dV}{dx}=75-\cfrac{1}{4}\cdot 3x^2\implies \cfrac{dV}{dx}=75-\cfrac{3x^2}{4} \\\\\\ \cfrac{dV}{dx}=\cfrac{300-3x^2}{4}\impliedby \textit{now, let's set the derivative to 0} \\\\\\ 0=\cfrac{300-3x^2}{4}\implies 0=300-3x^2\implies 3x^2=300\implies x^2=100 \\\\\\ x=\pm\sqrt{100}\implies x=\pm 10[/tex]

now, if you do a first-derivative test on +10, say check 9.99 and 10.01 for example, you'll notice you'd get + and - value respectively, meaning is a maximum.

The fifth term of a geometric sequence is 781.25. Each previous term is 1/5 of the value of the current term. Which recursive formula represents the situation?

Answers

Answer:

[tex]a_n=5a_{n-1}[/tex]

Step-by-step explanation:

Given fifth term of a geometric sequence is 781.25.

[tex]a_5= 781.25[/tex].

Also, each previous term is 1/5 of the value of the current term.

Therefore, common ratio would be 5.

But we just need to find the recursive formula .

Recursive formula of a geometric sequence is given by

[tex]a_n=ra_{n-1}[/tex]

Plugging value of r in above formula, we get

[tex]a_n=5a_{n-1}[/tex]

Therefore, recursive formula would be [tex]a_n=5a_{n-1}[/tex] represents the situation.

Answer: c

Step-by-step explanation:

buddy beneath me is blabbin to much

A superhero recently asked his nemesis how many cats she has. She answered with a riddle:two-thirds of my cats plus two

how many cats does she have

Answers

Oh man, this is the easiest college level math question that I could find as a middle schooler. I would say 8, but it's probably the wrong answer, so um bye.

You are planning to buy one of two brands of sofas, which you hope to use over the next twenty years. Brand J costs $975 and lasts for about twenty years. Brand K costs $265 and lasts for about five years, so you will need to buy four Brand K sofas to equal one Brand J sofa. In either case, you plan to pay for your sofa using your credit card, which has an interest rate of 14.55%, compounded monthly. You can pay off a Brand J sofa with eight years of monthly payments, and you can pay off a Brand K sofa with three years of monthly payments. Assuming that you make no other purchases on your credit card, over twenty years, which brand will be cheaper, and how much cheaper will it be? (Round all dollar values to the nearest cent.) a. Brand J will be $591.36 cheaper than Brand K. b. Brand J will be $85.00 cheaper than Brand K. c. Brand K will be $1,132.23 cheaper than Brand J. d. Brand K will be $340.32 cheaper than Brand J.

Answers

The loan amount is calculated by amortization and Brand K will be $340.32 cheaper than Brand J

What is Amortization?

Loan amortisation is the practise of making recurrent payments over time to completely pay off the principal and interest on a loan.

Mortgage amortisation is a word used in finance to describe the process of paying down your mortgage. The mortgage lender establishes a payment plan for you when you take out a mortgage. This uncomplicated plan, which includes equal payments over the course of your loan if you have a fixed-rate mortgage, is easy to understand.

The amount is calculated using the amortization formula:

P = a ÷ {{[(1 + r/n)^nt] - 1} ÷ [r/n(1 + r/n)^nt]}

where:

P is monthly payment

a is credit amount

r is the interest rate

t is the time in years

n is number of times the interest is compounded

Given data ,

Let the total loan amount for the brand J be represented as J

a = $975

r = 14.55% = 0.1455

t = 8 years

n = 12

Now , the amortization formula is

P = a ÷ {{[(1 + r/n)^nt] - 1} ÷ [r/n(1 + r/n)^nt]}

P = 975 ÷ {{[(1 + 0.1455/12)^12×8] - 1} ÷ [0.1455/12(1 + 0.1455/12)^12×8]}

P = $17.24

Total amount paid J = $17.24 × 96 = $1655.04

Let the total loan amount for the brand K be represented as K

a = $265

r = 14.55% = 0.1455

t = 3 years

n = 12

Now , the amortization formula is

P = a ÷ {{[(1 + r/n)^nt] - 1} ÷ [r/n(1 + r/n)^nt]}

P = 265 ÷ {{[(1 + 0.1455/12)^12×3] - 1} ÷ [0.1455/12(1 + 0.1455/12)^12×3]}

P = $9.13

Total amount paid K = $9.13 × 12 × 3 × 4 = $1314.72

The difference of amount of sofa j and sofa k = D

D = J - K

D = $1 655.04 - $ 1314.72 = $ 340.32

Hence , Brand K will be cheaper than Brand J by $340.32

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If two parallel lines are cut by a transversal and corresponding angles measure 10x – 1 and 8x + 21, what is the value of x?

Answers

Since corresponding angles are congruent:

10x -1 = 8x + 21
-8x -8x
2x -1 = 21
+1 +1
2x = 22
x = 11

Hope this helps!

Solve for 10 - 6x - 9x^2 = -9x10−6x−9x 2 =−9x

Answers

x = (1 ±√41)/6 is the correct answer.

Final answer:

To solve the equation 10 - 6x - 9x^2 = -9x, we'll use the quadratic formula. The solutions for x are (3 + √369)/18 and (3 - √369)/18.

Explanation:

To solve the equation 10 - 6x - 9x2 = -9x, we'll start by bringing all the terms to one side of the equation to set it equal to zero. Rearranging the equation, we get 9x2 - 3x - 10 = 0. We can then use factoring, the quadratic formula, or completing the square to solve for x. In this case, let's use the quadratic formula.

The quadratic formula states:

x = (-b ± √(b2 - 4ac))/(2a)

Using the values from our equation, we have:

x = (-(-3) ± √((-3)2 - 4(9)(-10)))/(2(9))

Simplifying further, we have:

x = (3 ± √(9 + 360))/18

x = (3 ± √369)/18

Therefore, the solutions for x are:

x = (3 + √369)/18

x = (3 - √369)/18

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kelly puts $350 in a savings account. The savings account accrues interest at a flat rate of 1.05% a month. How much will it count be worth in 7 months?

Answers

the simple interest equation uses "t" as years, but is just cycles, using an APR rate.

now, if we nevermind "t" as years and just use it as an interest cycle, then we can say the rate is 1.05% and the period is 7 cycles.

[tex]\bf \qquad \textit{Simple Interest Earned Amount}\\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$350\\ r=rate\to 1.05\%\to \frac{1.05}{100}\to &0.0105\\ t=cycles \to 7 \end{cases} \\\\\\ A=350(1+0.0105\cdot 7)[/tex]

This is a problem concerning exponential growth/decay. This formula, y = ab^x, will come in handy.

The "a" will represent your initial value, the value that you are already given in the problem, in this case, it is $350. The "b" will be your growth/decay factor, in this case is 1.05%. However, it cannot stay a percent, but must be changed into a decimal. For this factor in particular, since there's a decimal already included, you'd move the decimal two places to the left, giving you 0.0105.

Since the factor is more than 1, you'd add the decimal by one, giving you 1.0105. Now, the "x" represents the amount of time. In this case, it would be 7 months. Let's set up the equation:

y = 350(1.0105)^7 = 376.5 (377 if rounded). In 7 months, Kelly will have $376.5.

the figure below will be translated 4 units up and 3 units to the right. Which of the following represents the coordinates of the transformed figure?

A. A'(6, 9), B'(9, 14), C'(12, 11)
B. A'(8, 10), B'(11, 15), C'(15, 12)
C. A'(9, 9), B'(12, 14), C'(16, 11)
D. A'(9, 10), B'(12, 15), C'(16, 12)

Answers

Procedure: add 3 to every x-coordinate and 4 to every y-coordinate.

=> A (5,6) → A' (5 + 3, 6 + 4) = A'(8,10)

=> B(8,11) → B' (8 + 3, 11 + 4) = B'(11,15)

=>C(12,8) → C' (12 + 3, 8 + 4) = C'(15,12)

Answer: B. A'(8, 10), B'(11, 15), C'(15, 12)

One hundred pounds of co2 is contained in a 10:0-ft3 tank. the safety limit of the tank is 1600 psig.

Answers

Final answer:

To answer the question, we need to convert the mass from pounds to kilograms, use the ideal gas law equation to calculate the pressure in atmospheres, and then convert atmospheres to psig.

Explanation:

In this question, we are given that 100 pounds of CO2 is contained in a 10.0-ft3 tank and the safety limit of the tank is 1600 psig. To convert pounds to kilograms, we can use the conversion factor of 1 pound = 0.4536 kilograms. So, 100 pounds of CO2 is equal to 45.36 kilograms. Now, we can use the ideal gas law equation PV = nRT to find the pressure in bar. Rearranging the equation, we have P = (nRT) / V. Plugging in the values given, n = mass / molar mass, R = 0.0821 atm L / mol K, T = 273 + degrees Celsius, and V = 10.0 ft3 converted to liters, we can calculate the pressure in atmospheres. Finally, we can convert atmospheres to psig by multiplying by 14.7.

What is 2 2/5 ÷ (- 1/4) And how?

Answers

-9.6 is the answer.
first you turn both fractions into decimals, then you just divide the two.

Turn 2 2/5 into a fraction of 12/5 and when dividing fractions, just flip and multiply! So 12/5 x -4/1 = your answer

find the equation in general form of the circle with center at the origin and radius equal 6.

Answers

[tex]\bf \textit{equation of a circle}\\\\ (x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2 \qquad \begin{array}{lllll} center\ (&{{ h}},&{{ k}})\qquad radius=&{{ r}}\\ &0&0&6 \end{array}\\\\ -------------------------------\\\\ (x-0)^2+(y-0)^2=6^2\implies x^2+y^2=36[/tex]

How to estimate 208 + 569

Answers

Well just lookin at it and guessing I would say the estimate would be 777 bc u know that 8+9=17 den carry the one and u know that 1+6=7 and u know that 5+2=7 and yea
Hope this help good luck have a nice nite

Fraction 4 over 5n = Fraction 2 over 3. n = ___? Fraction 2 over 15 Fraction 5 over 6 1Fraction 1 over 5 1Fraction 7 over 15

Answers

So, we know that

4/5n = 2/3

n = 2/3 x 5/4 . . . . .. if fraction is moved to other side of the equation the numerator and denominator will be swithced

n = 10/12 ......................... divide numerator and denominator by 2

n = 5/6

The answer is Fraction 5 over 6

Answer:

what?

Step-by-step explanation:

What is the area of a regular polygon with 100 sides and a perimeter of 100 units?

Answers

now, if the regular polygon has 100 sides, and the perimeter is 100 units, that simply means that each side is 1 unit, foot, meter, else.

so, we know each side is 1 unit long, and we know there are 100 sides,

[tex]\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2cot\left( \frac{180}{n} \right)\quad \begin{cases} n=\textit{number of sides}\\ s=\textit{length of a side}\\ \frac{180}{n}=central~angle\\ \qquad~~ in~degrees\\ ----------\\ n=100\\ s=1 \end{cases} \\\\\\ A=\cfrac{1}{4}\cdot 100\cdot 1^2\cdot cot\left( \frac{180}{100} \right)\implies A=25cot\left(\frac{9}{5}^o \right) \\\\\\ A\approx 795.51289884[/tex]

In 2015, in Buffalo, New York, there were 8,625 arrests, 2,678 robberies, 865 assaults, and 20 murders. The population of Buffalo is 258,959. What is the ratio of the number of assaults to the number of robberies in simplest form?

Answers

I'm pretty sure simplest form would still be 865:2678
I could be wrong tho

Answer:

The simplest form of the ratio is: [tex]\dfrac{865}{2678}[/tex]

Step-by-step explanation:

We are given information about the buffalo in New york in the year 2015 as:

Number of arrests= 8,625

Number of robberies=2678

Number of assaults= 865

Number of murders= 20

The population of Buffalo is 258,959.

he ratio of the number of assaults to the number of robberies in simplest form is given by:

[tex]\dfrac{865}{2678}[/tex]

As the number in the numerator and the denominator do not have a common factor. hence the simplest form of the ratio is:

[tex]\dfrac{865}{2678}[/tex]

20 points! Suppose you find six articles related to the topic of your research paper. In how many ways can you choose four articles to read

a.720

b.30

c.360

d.15

Answers

B s the correct answer

Betty correctly determined that the ordered pair (–3, 5) is a solution to the system of linear equations mc004-1.jpg and x + 4y = 17. Based on this information, which statement is correct? (–3, 5) satisfies neither the equation 6x + 5y = 7 nor the equation x + 4y = 17. (–3, 5) satisfies the equation 6x + 5y = 7 but not the equation x + 4y = 17. (–3, 5) satisfies the equation x + 4y = 17 but not the equation 6x + 5y = 7. (–3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17

Answers

She correctly found the solution to be (-3, 5).
Since (-3, 5) is a solution of the system of equations, then (-3, 5) must satisfy both equations.
Answer is choice D.

answer is d foo on my mama

Find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→0 2x − sin(2x) 2x − tan(2x)

Answers

Final answer:

Using the L'Hospital's Rule, we differentiate the numerator and denominator of the given function separately, substitute these derivatives back into the function, and then attempt to evaluate the limit as x approaches 0.

Explanation:

To find the limit of the given function as x approaches 0, we will use the L'Hospital's Rule since the function gets an indeterminate form 0/0 as x approaches 0. L'Hospital's Rule states that the limit of a quotient of two functions as x approaches a certain value is equal to the limit of the quotients of their derivatives.

First, we differentiate the numerator and the denominator separately. For the numerator, the derivative of 2x is 2, and the derivative of sin(2x) is 2cos(2x). So the derivative of the numerator is 2 - 2cos(2x).

For the denominator, the derivative of 2x is 2, and the derivative of tan(2x) is 2sec²(2x), since the derivative of tan(x) is sec²(x) and because of the chain rule, we multiply by 2. So, the derivative of the denominator is 2 - 2sec²(2x).

Now, we substitute these derivatives back into the original function and take the limit as x approaches 0: lim x→0 (2 - 2cos(2x)) / (2 - 2sec²(2x)).

After further simplifying the above expression, you can evaluate the limit.

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The limit is 0.

We need to find the limit:

lim x→0 (2x − sin(2x)) / (2x − tan(2x))

Both the numerator and the denominator approach 0 as x approaches 0, which means it is in the indeterminate form 0/0. This suggests that we can use L'Hôpital's Rule.

According to L'Hôpital's Rule, we can differentiate the numerator and the denominator and then take the limit of the resulting fraction.

First, let's compute the derivative of the numerator:

Numerator: 2x - sin(2x)Derivative: 2 - 2cos(2x)

Next, let's compute the derivative of the denominator:

Denominator: 2x - tan(2x)Derivative: 2 - 2sec²(2x)

Now, we apply L'Hôpital's Rule:

lim x→0 (2 - 2cos(2x)) / (2 - 2sec²(2x))

As x approaches 0, cos(2x) approaches 1 and sec²(2x) also approaches 1, so:

lim x→0 (2 - 2(1)) / (2 - 2(1)) = 0 / 0

This fraction again gives an indeterminate form. Applying L'Hôpital's Rule a second time will be helpful. We need to differentiate the numerator and the denominator again:

Second derivative of the numerator: d/dx [2 - 2cos(2x)] = 4sin(2x)

Second derivative of the denominator: d/dx [2 - 2sec²(2x)] = -8sec²(2x)tan(2x)

Applying L'Hôpital's Rule once more, we get:

lim x→0 (4sin(2x)) / (-8sec²(2x)tan(2x))

Substitute x = 0:

lim x→0 (4sin(2x)) / (-8sec²(2x)tan(2x)) = 0

Therefore, the limit is 0.

Other Questions

What great miracle did John write about that the other Gospels did not include? the raising of Jairus' daughter from the dead healing of the blind man at the gate named Beautiful feeding of the 5,000 the raising of Lazarus from the dead BIOLOGY HELPPLEASE1. Which of the following is a true statement?a.) Fats contain half the amount of energy than carbohydrates because they have less bonds.b.) Carbohydrates contain more energy than lipids because their bonds release more energy when broken.c.) Lipid contains more energy than carbohydrates because they contain more carbon to hydrogen bonds to release energy when broken.d.) Lipids contain more energy than carbohydrates because they do not contain bonds.----2. You just visited your doctor and he suggested you are at risk for heart disease. Which type of lipid should you avoid eating large amounts of?a.) Carbohydratesb.) Saturatedc.) Unsaturatedd.) Oils Who is the most powerful person in the senate list four powers? during which step of the scientific method does a scientist determine whether the hypothesis was supported?1- design an experiment 2- collect date3- perform the experiment 4- draw conclusion Approximately ________ percent of lung cancer deaths are caused by smoking ead the sentence.The city calls its summer festival Strawberry Days.What kind of complement are the words in bold? ( strawberry days is in bold)predicate adjectiveobjective complementdirect objectpredicate nominative In the year 2001, a total of 7.2 million passengers took a cruise vacation. The global cruise industry has been growing at 9% per year for the last decade. Assume that this growth rate continues. How many cruise passengers (in millions) are predicted in the year 2002? Which correctly lists the flow of genetic information during transcription and then translation? a.RNA, DNA, protein b. DNA, protein, RNA c. protein, DNA, RNA d.DNA, RNA, protein Bacteria may become resistant to overused antibiotics. Selective environmental pressures may allow the resistant bacteria to thrive. How do these bacteria replicate and transfer the resistance?engulfing cellular DNA by neighboring cellsreplicating cells by cleavagegene transfertransferring genetic information by meiosis How does temperature affect the rate of diffusion? Solve for y 3x-4y=10 Why does ptah-hotep think it is a good idea to try to learn from everyone ignorant or learned Tomas is continually tense and plagued by muscle tension, sleeplessness, and an inability to concentrate. he most likely suffers from _____ disorder. Which value is most likely to be the pH of a salt that is formed by the reaction of a strong acid and a weak base?2.07.08.010.0 the value of a particular investment follows a pattern of exponential growth. in the year 2000 you invested money in a money market account. the value of your investment t years after 2000 is given by the exponential growth model A=2600e^0.052t. how much did u initially invest in the account? please show work How would president Lyndon Johnson Be able to justify the use of federal troops to manage riots during the summer of 1967 "a symbolic process whereby reality is produced, maintained, repaired and transformed" is a definition ofa. cultureb. communicationc. ethnographyd. values It became evident that many Americans were suspicious of anyone who was not a Protestant with an Anglo-Saxon background when the whispering campaign was begun in the 1928 presidential campaign against the Democratic candidate, Alfred E. Smith, because he was __________. The practice of breaking unjust laws in protest or otherwise violating the public order for a political purpose is best described as Why is it important to know whether or not bacterial cells possess capsules flagella and endospores? Steam Workshop Downloader