A scientist needs 120mL of a 20% acid solution for an experiment. The lab has available a 10% solution and a 25% solution. How many milliliters of the 10% solution and how many milliliters of the 25% solution should the scientist mix to make the 20% solution?

Answers

Answer 1

Answer:

40 mL of 10% acid

80 mL of 25% acid

Step-by-step explanation:

x = volume of 10% acid solution

y = volume of 25% acid solution

Total volume is:

x + y = 120

Total amount of acid is:

0.10 x + 0.25 y = 0.20 (120)

Solve by substitution.

0.10 x + 0.25 (120 − x) = 0.20 (120)

0.10 x + 30 − 0.25 x = 24

0.15 x = 6

x = 40

y = 80


Related Questions

Two cards are dealt at random from a standard 52 card deck (without replacement). (Ace, King, Queen, Jack are face cards.)

Required:
a. Find the probability that the first card is a face card and the second is NOT a face card.
b. Find the probability that they are both face cards.
c. Find the probability that the second is a face card given the first is NOT a face card.

Answers

Answer:

The answer is below

Step-by-step explanation:

There are 52 cards in a deck, 12 of these cards are face cards (4 kings, 4 queens and 4 jacks) and 40 are not face cards

a. Find the probability that the first card is a face card and the second is NOT a face card.

There are 12 first card, the probability that the first card is a face card is 12/52.

Since there are no replacement, after picking 1 face card the number of cards remaining is 51, the probability of the second card not being a face card = 40/51. Therefore:

The probability that the first card is a face card and the second is NOT a face card = P(first is face card) × P(second is not face card)  = 12/52 × 40/51 = 40/221

b) Find the probability that they are both face cards.

The probability that the first card is a face card is 12/52.

Since there are no replacement, after picking 1 face card the number of cards remaining is 51 and the number of face card remaining is 11, the probability of the second card is a face card = 11/51. Therefore:

The probability that they are both face cards = P(first is face card) × P(second is face card)  = 12/52 × 11/51 = 11/221

c) Find the probability that the second is a face card given the first is NOT a face card.

The probability that the first card is not a face card = 40/52

Since there are no replacement, after picking the first card the number of cards remaining is, the probability of the second card is a face card = 12/51. Therefore:

The probability that the second is a face card given the first is NOT a face card = P(first is not a face card) × P(second is face card)  = 40/52 × 12/51 = 40/221

4. Identify the means and the extremes in each of the following proportions.
a. 4 : 24 = 2 : 12
b. 24/6 = 164
c. 4:8 = 8:16
d. 650 = 3/25

Answers

Answer:

a) Means: 24 and 2; Extremes: 4 and 12

b) Means: 6 and 16; Extremes: 24 and 4

c) Means: 8 and 8; Extremes: 4 and 16

d) Means: 50 and 3; Extremes: 6 and 25

Step-by-step explanation:

The Means and Extremes in a proportion are defined based on the writing the proportion in one lie using colons the indicate the fraction, like in:

a : b = c : d The extremes values here are those that you see at the extreme left and extreme right of that expression. That is: a, and d.

The Means are the values that appear in the middle of the one line expression, that is: b and c.

Recall as well that the proportion can also be written with fractions:

a : b = c : d  is the same as:   a / b = c / d

so convert the expression to a one line with colons when the question comes in fraction form, and that way you can answer.

7. The General Society Survey asked a sample of 1200 people how much time they spent watching TV each day. The mean number of hours was 3.0 with a standard deviation of 2.87. A sociologist claims that people watch a mean of 4 hours of TV per day. Do the data provide sufficient evidence to disprove the claim? Use α = .05 to test the hypothesis. a. What are your null and alternative hypotheses? b. What test is appropriate here? Why? c. What is your test statistic? d. What is your critical value? e. What is your final decision: do you reject the null or fail to reject the null?

Answers

Answer:

a) and b)  Look step by step explanation

c) z(s) = - 12,07

d) z(c) = - 1,64

e) Final decision: Reject H₀

Step-by-step explanation:

We assume Normal Distribution

Data:

Sample population  n   = 1200

Sample mean         μ  =    3

Sample Standard deviation   2,87

Claim mean      μ₀  =  4

α = 0,05  then from z-table we find  z(c) = 1,64   ( critical value )

We need to develop a one tail-test to the left

Test Hypothesis

The General Society developed a survey ( in all cases that is an indication of a sample)

Null hypothesis                    H₀                      μ   =  μ₀

Alternative hypothesis        Hₐ                       μ  <  μ₀

To calculate the  z(s)

z(s) =  ( μ  -  μ₀ )/ 2,87/√n

z(s) =  ( 3 - 4 )/ 2,87/√1200

z(s) =   -1 * 34,64 / 2,87

z(s) = - 12,07

To compare  z(s) and z(c)

z(s)  <  z(c)           - 12,07 < - 1,64

z(s) is in the rejection region (quite far away) we reject H₀

Data provide enough evidence to disprove the claim

Is 100 a good estimate for the difference of 712 and 589? If it is, explain why it is a good estimate. If it is not, explain why it is a bad estimate.

Answers

It is a bad estimate because the gap between 712 and 589 is clearly (if you were just estimating in hundreds) would be 200

200 would be a better guess

13,226 divided by 29

Answers

13226/29= 456.068965517

A car enters a turnpike 22 miles north of a town. The car teavels north at an average speed of 64 miles per hour. How far is the car from the town after 4 hours? Explain how you can use linear function to solve this problem. Then, solve the problem.​

Answers

Answer:

distance traveled can be modeled by a linear functionthe car is 260 miles north of town

Step-by-step explanation:

a) When the speed is constant, the distance traveled is proportional to the travel time, a linear relationship. The distance traveled can be added to the initial distance to obtain the total distance (from town). This relation is a linear function. It can be modeled by the equation ...

  d(t) = 4 + 64t . . . where t is travel time in hours, d(t) is the distance in miles

b) After 4 hours, the distance north of town is ...

  d(4) = 4 +64(4) = 260

The car is 260 miles from the town after 4 hours.

Answer: Distance is a function of time. The constant rate of change is 64. Write the equation y = 64x + 22. Substitute 4 in for x to get 278 miles.

Step-by-step explanation:

PLEASE HELP FOR 70 POINTS!!!!!! Maria and Jackson like in adjacent neighborhoods. If they superimpose a coordinate grid on the map of their neighborhoods, Maria lives at (–9, 1) and Jackson lives at (5, –4). Each unit on the grid is equal to approximately 0.132 mile. 8. How far apart do Maria and Jackson live to the nearest thousandth? 9. If April lives equidistant to both Maria and Jackson, at what coordinate on the grid would she live? 10. How far apart would Maria and April live to the nearest thousandth?

Answers

Answer:

8)  1.962 miles

9)  (-2, -1.5)

10) 0.515 miles

Step-by-step explanation:

√(-9 - 5)² + (1 - -4)² = 14.866

14.866 x .132 = 1.962

(-9+5)/2, (1 + -4)/2

-4/2, -3/2

-2, -3/2

√(-2 - 1)² + (-3/2 - -4)² = 3.905

3.905 x .132 = 0.515 miles

Find the radius of the circle with equation x^2 + y^2 - 10x - 16y + 53 = 0.

Answers

Answer:

radius = 10.5 units

Step-by-step explanation:

Equation of a circle is given by

x² + y² + 2gx + 2fy + c = 0

To find the radius of the circle we use the formula

[tex]r = \sqrt{ {g}^{2} + {f}^{2} - c } [/tex]

where g and f is the center of the circle

From the question

x² + y² - 10x - 16y + 53 = 0

Comparing with the general equation above we have

2g = - 10 2f = - 16

g = - 5 f = - 8

c = 53

Substitute the values into the above formula

That's

[tex]r = \sqrt{ ({ - 10})^{2} + ( { - 8})^{2} - 53 } [/tex]

[tex]r = \sqrt{100 + 64 - 53} [/tex]

[tex]r = \sqrt{111} [/tex]

We have the final answer as

radius = 10.5 units

Hope this helps you

What is the missing statement in step 10 of the proof?

Answers

Answer:

c/sin C = b/sin C

Step-by-step explanation:

Look at the statement in the previous step and the reason in this step.

c sin B = b sin C

Divide both sides by sin B sin C:

(c sin B)/(sin B sin C) = (b sin C)/(sin B sin C)

c/sin C = b/sin B

Find the length of a square with a perimeter of 48cmeter

Answers

Answer:

12

Step-by-step explanation:

Perimeter of a square:

4(L)

L = Length

=> 4(L) = 48

=> 4L = 48

=> 4L/4 = 48/4

=> L = 12

The length of the square is 12 cm.

Answer:

12

Step-by-step explanation:

Since the lengths of the sides of a square are equal, divide the perimeter by 4

1. What happened when you had a negative plus a negative, (-a) + (-b)?
I
2. What happened when you had a positive plus a negative, a + (-b)?
***Is this the same as a positive minus a positive, a - b?
3. What happened when you had a positive minus a negative, a - (-b)?
4. What happened when you had a negative minus a negative, (-a) - (-b)?​

Answers

Answer:

See Explanation

Step-by-step explanation:

1.

What happens when negative adds to negative; e.g (-a) + (-b)

First, we need to simplify the expression

[tex](-a) + (-b)[/tex]

Open the brackets

[tex]-a - b[/tex]

Factorize

[tex]-(a+b)[/tex]

So, what happens is that: the two numbers are added together and the result is negated;

E.g.

[tex](-5) + (-3) = -(5 + 3) = -8[/tex]

2.

What happens when positive is added to negative; e.g. a + (-b)

First, we need to simplify the expression

[tex]a + (-b)[/tex]

Open the brackets

[tex]a - b[/tex]

So, what happens is that: the negative number is subtracted from the positive number

And Yes; [tex]a + (-b)[/tex] is the same as [tex]a - b[/tex] (As shown above)

E.g.

[tex]5 + (-3) = 5 - 3 =2[/tex]

3.

What happens when to positive minus a negative; e.g. a - (-b)

First, we need to simplify the expression

[tex]a - (-b)[/tex]

Open the brackets

[tex]a + b[/tex]

So, what happens is that; the two numbers are added together.

E.g.

[tex]5 - (-3) = 5 + 3 = 8[/tex]

4.

What happens when negative minus a negative; e.g. (-a) - (-b)

First, we need to simplify the expression

[tex](-a) - (-b)[/tex]

Open the brackets

[tex]-a + b[/tex]

Reorder

[tex]b - a[/tex]

So, what happens is that; the first number is subtracted from the second.

E.g.

[tex](-5) - (-3) = 3-5 = -2[/tex]

Find the sum of the even numbers between 199 to 1999​

Answers

[tex]S_n=\dfrac{n(a_1+a_n)}{2}\\a_1=200\\a_n=1998\\n=?\\\\a_n=a_1+(n-1)d\\d=2\\1998=200+(n-1)\cdot2\\2n-2=1798\\2n=1800\\n=900\\\\S_{900}=\dfrac{900\cdot(200+1998)}{2}=450\cdot 2198=989100[/tex]

The Sum is 989100.

what is sum of Even numbers?

The sum of even numbers formula is determined by using the formula to find the arithmetic progression. The sum of even numbers goes on until infinity. The sum of even numbers formula can also be evaluated using the sum of natural numbers formula. We need to obtain the formula for 2 + 4+ 6+ 8+ 10 +...... 2n.

The sum of even numbers = 2(1 + 2+ 3+ .....n). This implies 2(sum of n natural numbers) = 2[n(n+1)]/2 = n(n+1)

Given:

a1 = 200

an= 1998

So, using formula

S= n(a1 + an)/2

now,

d=2

an= a1+(n-1)d

1998= 200 + (n-1) 2

1998-200= (n-1)2

1798/2=n-1

n= 900

S900= 900( 200 + 1998)/2

        =450*2198

       = 989100

Hence, the sum is 989100.

Learn more about this concept here:

https://brainly.com/question/18837188

#SPJ2

How many solutions does the following system have x+y=3, 2x+2y-5

Answers

Answer:

Step-by-step explanation:

x + y = 3

2x + 2y = 5

-2x - 2y = -6

2x + 2y = 5

0 not equal to -1

no solution

Given that the sum of squares for error is 60 and the sum of squares for regression is 140, then the coefficient of determination is:

Answers

Answer:

0.7

Step-by-step explanation:

The coefficient of determination which is also known as the R² value is expressed as shown;

[tex]R^{2} = \frac{sum\ of \ squares \ of \ regression}{sum\ of \ squares \ of total}[/tex]

Sum of square of total (SST)= sum of square of error (SSE )+ sum of square of regression (SSR)

Given SSE = 60 and SSR = 140

SST = 60 + 140

SST = 200

Since R² = SSR/SST

R² = 140/200

R² = 0.7

Hence, the coefficient of determination is 0.7. Note that the coefficient of determination always lies between 0 and 1.

The coefficient of determination of the dataset is 0.7

The given parameters are:

[tex]SSE = 60[/tex] --- sum of squared error

[tex]SSR = 140[/tex] --- sum of squared regression

Start by calculating the sum of squared total (SST)

This is calculated using

[tex]SST =SSE + SSR[/tex]

So, we have:

[tex]SST =60 +140[/tex]

[tex]SST =200[/tex]

The coefficient of determination (R^2) is then calculated using

[tex]R^2 = \frac{SSR}{SST}[/tex]

So, we have:

[tex]R^2 = \frac{140}{200}[/tex]

Divide

[tex]R^2 = 0.7[/tex]

Hence, the coefficient of determination is 0.7

Read more about coefficient of determination at:

https://brainly.com/question/15804563

Plz answer quickkkk help will give 5 star rate if answer is right nd will say thx

Answers

Answer:

To find the x-intercept, substitute in  0  for y and solve for x.

To find the y-intercept, substitute in  0 for x  and solve for y.

x-intercept(s):  

(−6,0)

y-intercept(s):  

(0,3)

So I would say -6 and 0 and 2 are in domain

Answer:

-6, 0 ,2 are in the domain

Step-by-step explanation:

The domain is what values that x can take

There are no restrictions on the values that x can take

All real numbers are in the domain

-6, 0 ,2 are in the domain

plzzzzzzzzz someone help

Answers

Answer: 4

Step-by-step explanation:

Since this inequality gives us a list, we want to choose the greatest number shown because x≤?. Because x has to be less than or equal to a number, it makes the most sense to put the greatest number there. In the list, 4 is the greatest number.

Beginning 177 miles directly north of the city of Morristown, a van travels due west. If the van is travelling at a speed of 31 miles per hour, determine the rate of change of the distance between Morristown and the van when the van has been travelling for 71 miles. (Do not include units in your answer, and round to the nearest hundredth.)

Answers

Answer:

Step-by-step explanation:

From the given information;

let the hypotenuse be a , the opposite which is the north direction be b and the west direction which is the adjacent be c

SO, using the Pythagoras theorem

a² = c² + 177²

By taking the differentiation of both sides with respect to time t , we have

[tex]2a \dfrac{da}{dt} = 2c \dfrac{dc}{dt} + 0[/tex]

[tex]\dfrac{da}{dt} = \dfrac{c}{a} \dfrac{dc}{dt}[/tex]

At c = 71 miles,[tex]a = \sqrt{ (71)^2 +(177)^2}[/tex]

[tex]a = \sqrt{ 5041+31329}[/tex]

[tex]a = \sqrt{ 36370}[/tex]

a = 190.71

SImilarly, [tex]\dfrac{dc}{dt} = \ 31 miles \ / hr[/tex]

Thus, the rate of change of the distance between Morristown and the van when the van has been travelling for 71 miles can be calculate as:

[tex]\dfrac{da}{dt} = \dfrac{c}{a} \dfrac{dc}{dt}[/tex]

[tex]\dfrac{da}{dt} = \dfrac{71}{190.71} \times 31[/tex]

[tex]\dfrac{da}{dt} = 0.37229 \times 31[/tex]

[tex]\mathbf{\dfrac{da}{dt} = 11.54}[/tex]  to the nearest hundredth.

Select the correct answer from each drop-down menu.
A cross section is the intersection of a
Solid or point and a plane or plane. Helpp

Answers

Answer:

  solid, plane

Step-by-step explanation:

A cross section is the intersection of a solid and a plane.

Answer:

A cross section is the intersection of a solid and a plane.

Step-by-step explanation:

Got this right on plato, hope it helps :P

In a triangle ABC,AB=9 and BC =12 which of the following Cannot be the length of AC.

Answers

Step-by-step explanation:

mark it as the brainliest

Answer:

i need help with this too

Step-by-step explanation:

The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 15 HCF of water is 32.84, and the cost for using 43 HCF is 79.04. What is the cost for using 36 HCF of water?

Answers

Answer:

67.49

Step-by-step explanation:

Let the number of HCF be x.

Let the cost be y.

You are given 2 points of a line: (15, 32.84) and (43, 79.04).

Now we find the equation of the line that passes through those points.

y - y1 = m(x - x1)

y - 32.84 = [(79.04 - 32.84)/(43 - 15)](x - 15)

y - 32.84 = (46.2/28)(x - 15)

y - 32.84 = 1.65(x - 15)

y = 1.65x - 24.75 + 32.84

y = 1.65x + 8.09

Now we let x = 36 and solve for y.

y = 1.65(36) + 8.09

y = 67.49

Andrea is buying fruit for a fruit salad. Strawberries cost $2 a pound, and blueberries cost $6 a pound. She plans to buy at least 5 pounds of berries and spend no more than $30. Which of the following is a possible combination for the number of pounds of berries she can buy?

Answers

6 pounds of strawberries and 1 pound of blueberries

I did the quiz

Which expression is equivalent to (jk)l? A. (j + k) + l B. j(kl) C. (2jk)l D. (j + k)l

Answers

Answer:

B. j(kl)

Step-by-step explanation:

(jk)l

We can change the order we multiply and still get the same result

j(kl)

Answer:

Step-by-step explanation:

its B i did it

y=mx+6 , solve for m

Answers

Answer:

m = [tex]\frac{y-6}{x}[/tex]

Step-by-step explanation:

Given

y = mx + 6 ( subtract 6 from both sides )

y - 6 = mx ( divide both sides by x )

[tex]\frac{y-6}{x}[/tex] = m

Cancel the common factor of the numerator and the denominator and write specified expression

Answers

Step-by-step explanation:

Hello,

I hope you mean to cancel the common factor that exists in numerator and denominator,right.

so, Let's look for the common factor,

here, the expression is,

=4(x-2)/ (x+5)(x-2)

so, here we find the common factor is (x-2)

now, we have to cancel it. And after cancelling we get,

=4/(x+5)

Note:{ we cancel the common factor if the common factors are in multiply form.}

Hope it helps

(Algebra) HELP ME ASAP PLZ

Answers

Answer:

no solution because the answer will be p=2

10 - [ 8p + 3 ] = 9 [ 2p - 5 ]

10 - 8p - 3 = [ 2p - 5 ]

-8p + 10 - 3 = [ 2p - 5 ]

p = 2 We need to get rid of expression parentheses.

If there is a negative sign in front of it, each term within the expression changes sign.

Otherwise, the expression remains unchanged.

In our example, the following 2 terms will change sign:

8p, 3

Step-by-step explanation:

BRAINLIST AND A THANK YOU AND 5 stars WILL BE REWARDED PLS ANSER

Answers

Answer:

The first picture's answer would be (6, 21)

Step-by-step explanation:

You have to find the points on the 8th and the 9th day, and then you would add them together, and then divide by two finding the average, which would be 24 and 18, so when added, you get 42, divided by 2 you get 21. You look on the graph for the point with 21, and you find it is on 6.

solve the following equations for x (3x-6)=18

Answers

Answer:

x = 8

Step-by-step explanation:

Hello!

What we do to one side of the equation we have to do to the other side.

3x - 6 = 18

Add 6 to both sides

3x = 24

Divide both sides by 3

x = 8

The answer is 8

Hope this helps!

Answer:

x=8

Step-by-step explanation:

(3x-6)=18

Add 6 to each side

(3x-6+6)=18+6

3x= 24

Divide by 3

3x/3 = 24/3

x = 8

2000 2yrs at 2% How much interest is owed

Answers

Answer:

Rs. 80 is owed.

Step-by-step explanation:

Principle (P) = 2000

Time (T) = 2 years

Rate (R) = 2%

Interest (I) = ?

Here,

I = (P×T×R) / 100

= (2000×2×2) / 100

= (8000) / 100

= Rs. 80

Answer:

P= 2000

T= 2

R=2÷100

I = PTR

= 2000×2×2÷100

2÷100=0.02

2000×2×0.02= 80

So i is 80

as part of a group exercise, four students each randomly selected 3 cards with angle measures written on them. The table shows the results.

Answers

Answer:

Option (A)

Step-by-step explanation:

As we know sum of interior angles of a triangle = 180°

If the sum of angles written on 3 cards is equal to 180°, will make a triangle.

Total of Alisha's cards = 100° + 90° + 170°

                                     = 360°

Total of Aella's cards = 60° + 25° + 95°

                                   = 180°

Total of Andrew's cards = 35° + 35° + 35°

                                        = 105°

Total of Ah Lam's cards = 90° + 60° + 35°

                                       = 185°

Since total of Aella's cards is 180°, triangle is possible with the angles given on the cards of Aella only.

Therefore, Option (A) will be the answer.

Compute the least-squares regression line for the given data set. Use a TI-84 calculator. Round final answers to four decimal places, as needed.
x 5 7 6 2 1
y 4 3 2 5 1
Regression line equation: ŷ = _______ + _______ x.

Answers

Answer:

   Y = 2.843+ 0.037 X

Step-by-step explanation:

Let the equation of the straight line to be fitted to the data , be Y = a+b X where a and b are to be evaluated. The normal equations fro determining a and b are

∑Y = na +b ∑X

∑XY = a∑X + b∑X²

We now calculate ∑X, ∑Y , ∑X², and ∑XY

X                Y                XY              X²

5                  4                 20            25

7                  3              21                49

6                  2                 12            36

2                  5                 10             4

1                    1                1                 1          

21                 15                 64           115  

Thus the normal equation becomes

                                                 5a + 21b =15

                                                21a +115b = 64

Solving these two equations simultaneously we get

                                                105 a + 441b = 315

                                                105a + 575b = 320

                                                            134b= 5

b= 0.037 , a= 2.843

Hence the equation for the required straight line is

                    Y = 2.843+ 0.037 X

Other Questions
The bookkeeper for the company has prepared the following balance sheet as at December 31, 2018: Cameron Corp Balance Sheet December 31, 2019 Current Liabilities Long-term Liabilities Shareholders' Equity $.237.500 437,500 494,800 Cash Accounts Receivable (net) Inventories Investments Land Building (net) Copyright (net) $ 40,250 (1) 85,550 (2) 105,000 (3) 60,000 (4) 350,000 (5) 525,000 (6) 4.000 (7) $1.169,800 $1.169.800 The following additional information is provided: 1. The cash balance includes: Petty cash fund Cash advance to employee, payable on demand Saving Account at TD Bank Certificate of deposit (90-days) Chequing account at the Bank of Montreal Bank overdraft at the Scotia Bank Total $ 250 1,000 23,000 10.000 6,750 (750) S_40.250 2. The allowance for doubtful accounts $7,750. 3. - The net realizable value of the inventory that is included in the Balance Sheet is $100,000.- - Inventories do not include $15,000 of merchandise that was in transit at December 31, which was sold to a customer with terms f.o.b. destination. The inventory reached the customer on January 5, 2020 - Inventories also do not include $20,000 inventory that was received by Royale Ltd. for consignment. 4. The investments section includes the following: notes receivable that was issued on September 1st, 2019 bearing interest at 6% and due on August 31, 2020 $20,000; long-term FV-OCI investment $30,000 carrying value (fair value $26,000 at December 31,2019); and FV-NI Investment 500 common shares of Landon Inc. purchased at $10.00 per share (fair value $11.50 per share at December 31,2019). The company expects to sell the FV-NI shares as soon as the market price increases next year. 5. The land balance includes: land used for operations and recorded at its appraised value of $350,000 (the original cost of the land was $275,000). The company uses the historical cost method to account for property, plant & equipment. 6. The building originally cost $750,000. Depreciation for 2019 has already been recorded. 7. The copyright originally cost $10,000 and is being amortized over 5 years on a straight-line basis. Amortization for 2019 had already been recorded. 8. The company borrowed $50,000 from ABC Bank. The bank charges 5% and the loan is due May 1st 2025. As part of the bank loan, ABC Bank required Cameron Corp. to pledge their building as security for the loan (in other words it is the banks collateral). How to do adjustment in Inventories in part (3) and Investment in part (4)? Dante is baking two different recipes, cookies and brownies. The cookie recipe requires 1.5 cups of sugar, and the brownie recipe requires 1.25 cups of sugar. Write an addition equation to represent the total amount of sugar Dante needs. Immigration will cause a population to increase ifA. the birth rate is greater than the death rateB. the birth rate and death rate are balancedC. the birth rate doubles and the death rate does notD. the death rate is greater than the birth rate Vector has a magnitude of 6.0 m and points 30 north of east. Vector has a magnitude of 4.0 m and points 30 east of north. The resultant vector + is given by Read this passage taken from "How the Spaniards Came to Shung-opovi, How They Built a Mission, and How the Hopi Destroyed the Mission": Well, about this time the Strap Clan were ruling at Shung-opovi, and they were the ones that gave permission to establish the mission. The Spaniards, whom they called Castillia, told the people that they had much more power than all their chiefs and a whole lot more power than the witches. The people were very much afraid of them, particularly if they had much more power than the witches. They were so scared that they could do nothing but allow themselves to be made slaves. Whatever the Spaniards wanted done must be done. Any man in power who was in this position the Hopi called To-ta-achi, which means a grouchy person who will not do anything himself, like a child. They couldn't refuse, or they would be slashed to death or punished in some way. There were two To-ta-achi. The missionary did not like the ceremonies. He did not like the Kachinas, and he destroyed the altars and the customs. He called it idol worship and burned up all the ceremonial things in the plaza. Which two of these elements are found in the Hopi story? cultural differences between the Hopi people and the Spaniards hardships faced by the Spaniards tradition of the Hopi people agreement of the Hopi people with the Spaniards introduction of medicines by the Spaniards Verify that the Divergence Theorem is true for the vector field F on the region E. F(x,y,z)=3xi+xyj+2xzk, E is the cube bounded by the planes x=0, x=1, y=0, y=1, z=0 and z=1 Suppose that a sample mean is .29 with a lower bound of a confidence interval of .24. What is the upper bound of the confidence interval? 1. A student gathered two boxes of the same size made of different materials: glass and clear plastic. She placed them on a windowsill in the sun for an hour and then measured the temperature of the air in each box. Which statement best describes the purpose of the experiment? to relate the type of box material to the temperature of the air within the box to relate the size of the box to the temperature of the air within the box to relate the type of box material to the mass of the box to relate the amount of time a box is exposed to sunlight to the temperature of the air within the box 2. What is the average time for the toy car to move 1.0 m on dirt? 20.2 s 24.4 s 28.1 s 60.7 s 3. A student collected data about the distance a ball falls over time. Which type of graph should he use to represent the data? circle graph scatterplot histogram bar graph Excerpt from Let's Get It Started!Gillian WhiteSome people do not think that recycling paper is important. Paper Falls apart easily and becomes part of the earth quickly after itis buried. For this reason, some people do not think that throwing away paper is harmful. But what they forget is that trees areused to make paper. In fact, every person uses about two trees' worth of paper each yearl Trees are so important to nature. Theyhelp keep the air clean. Plus, many animals make their homes in trees. By recycling paper instead of throwing it away, we canmake the world a better place.The lines, They help keep the air clean, Plus, many animals make their homes in trees. By recycling paper instead of throwing it away,we can make the world a better place," are an example of which logical fallacy?A)ad hominemB)false causationC)circular reasoningD)sweeping generalization Click on the box to choose whether the sentence is correct (C), contains a comma splice (CS), or is a fused sentence(FS)Don't stack twelve boxes on top of one another, it's the twelfth one that will knock down the pile. Megan leaves her house at 4:15 to go soccer practice. It takes her 35 minutes to get there. Her practice is two hours long. Then, she drives home, which takes 40 minutes. What time does she get back home? Economic globalization refers to the economic of nations resulting from mutual why would it be essential for the successful A/V technician to participate in additional coursework, presentations, and seminars offered by equipment manufacturers as well as annual conferences attended by colleagues in the industry Two long parallel wires are a center-to-center distance of 1.30 cm apart and carry equal anti-parallel currents of 2.40 A. Find the magnitude of the magnetic field at the point P which is equidistant from the wires. (R = 5.00 cm). why is english class an essential part of education Hankins Corporation has 8.1 million shares of common stock outstanding, 300,000 shares of 4.1 percent preferred stock outstanding, par value of $100; and 185,000 bonds with a semiannual coupon rate of 5.5 percent outstanding, par value $2,000 each. The common stock currently sells for $57 per share and has a beta of 1.15, the preferred stock has a par value of $100 and currently sells for $99 per share, and the bonds have 18 years to maturity and sell for 107 percent of par. The market risk premium is 6.6 percent, T-bills are yielding 3.3 percent, and the companys tax rate is 24 percent.A. What is the firms market value capital structure?B. If the company is evaluating a new investment project that has the same risk as the firms typical project, what rate should the firm use to discount the projects cash flows?Solve for:A. DebtPreferred StockEquityB. Discount Rate What is the correct definition of a hemisphere?a line of longitudethe mid point between the North and South Polesone half of the Eartha line of latitude 1.If the manufacturer is considering production quantities of 40,000 units or 80,000 units, assuming 90% of product will be sold and 10% will be salvaged, what is the profit per unit What are some of the challenges African Americans had to overcome in the decades after slavery? I need help factoring this question, Factor 4(20) + 84.