6. A chemist needs to create 100mL of 38% acid solution. On hand she has a 20% acid solution and
a 50% acid solution. How many mL of each solution should she use?
Solution: 20% acid =
50% acid =

Answers

Answer 1

Answer:

40 cc of A and 60 cc of B

Step-by-step explanation:

A+B = 100

0.5A + 0.8B = 100 * 0.68 = 68

0.5A + 0.8 ( 100 - A) = 68

0.5A + 80 - 0.8A = 68

-0.3A = -12

3A = 120

A=40

40 cc of A and 60 cc of B


Related Questions

Im having trouble with my homework and im not sure how to do this question could someone please explain?

line u has an equation of y+6=3/2(x–6). Line v is perpendicular to line u and passes through (2,–1). What is the equation of line v?

Answers

First write out the equation. Use distributive property for 3/2(x-6) by multiplying 3/2 by x and by -6. Then, subtract 6 from both sides and add -6 and the -18/2 from the previous distributive property step.
y= 3/2x -15
To find the perpendicular line, you need to change the slope (which is 3/2) to its negative reciprocal.
In order to do that, flip the order to 2/3 and multiply it by negative 1 to get -2/3.
y = -2/3x + b
You still can’t fully write out the equation because you don’t know b, which is the y intercept. To find it, plug in the x and y of (2,-1) to y = -2/3x + b.
-1 = -4/3 + b

Next move 4/3 to the left by adding it to both sides.
1/3 = b (aka y intercept)
Then you can write the final equation of line v.
y = -2/3x + 1/3

Not super sure if it’s correct, but I hope it helped!

A car advertisement states that a certain car can accelerate from rest to 72 km/h in 12.5 seconds.
Initially the car is at rest, so the initial velocity is ______
m/s.

The car speeds up to 72 km/h which is equivalent to _______
m/s. Find the car’s average acceleration.

The acceleration of the car is _______
m/s2

Answers

The initial velocity is  0 m/sec

The car speed up to 72km/h which is equivalent to  36m/sec

The acceleration of the car is 2.88 m/sec².

What is acceleration?

Acceleration is the rate of change of the velocity of an object with respect to time. Vector quantities are accelerations. Acceleration = (Final Velocity - Initial Velocity)/ Time taken

Given that car can accelerate from rest to 72km/h in 12.5 seconds. Therefore, we can write:

Initial Velocity = 0 m/sec

Final Velocity = 72 km/hr = 72×(0.50) m/sec = 36m/sec

Time taken = 12.5 second

Now, the car’s acceleration in m/s can be written as,

Acceleration = (Final Velocity - Initial Velocity)/ Time taken

(36 m/sec - 0 m/sec)/12.5 seconds

= 2.88 m/sec²

Hence, the car’s acceleration in m/s is 2.88 m/sec².

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Will give brainliest. urgent, 100 points

Answers

a) Yes , the variable y varies directly with x

b) The constant of variation is k = 1/3

c) The function rule is given by the equation y = x/3

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the values of x are in set P = { 57 , 63 , 66 }

The values of y are in the set Q = { 19 , 21 , 22 }

a)

From the data set of P and Q , we can see that when the value of y increase the value of x also increases

Therefore , the value of variable y varies directly with x

And , y ∝ x

b)

The value of variable y varies directly with x

And , y ∝ x

So , y = kx

Substituting the value for x and y from the data set , we get

The equation will be

y = kx

19 = 57k

Divide by 57 on both sides of the equation , we get

k = 19 / 57

k = 1/3

Therefore , the constant of variation k is 1/3

c)

The function rule is given by the equation

y = kx

Substituting the value for k in the equation , we get

y = ( 1/3 ) x

y = x/3

Hence ,

a) Yes , the variable y varies directly with x

b) The constant of variation is k = 1/3

c) The function rule is given by the equation y = x/3

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Answer:

its six hundred men

Step-by-step explanation:

its Six hundred men, six hundred men under my command

With only one goal in mind

Make it back alive to our homeland

Six hundred men, six hundred miles of open sea

But the problem's not the distance

It's what lies in between

And Ithaca's waiting Ithaca's waiting

My kingdom is waiting The kingdom is waiting

Penelope's waiting for me

So full speed ahead, full speed ahead


How does
modifying the input or the output of a linear e
function rule transform its graph?

Answers

Answer:

Step-by-step explanation:

Adding a constant k to the output of a linear function translates the graph vertically by k units. If k < 0 k<0 k<0, then the translation is downwards and if k > 0 k>0 k>0. Adding a constant k to the input of the function translates the graph horizontally by k k k units.

"The question is on a test I have to do today! pls help me!
10. Which situation can be modeled by the equation y=m x+b ?
A. The number of butterflies (y) in a population doubles every month (x).
B. The time (y) it takes a car to travel 100 miles depends on the speed (x) of the car.
C. The volume (y) of a cylindrical tank with a height of 2 feet depends on the radius (x) of the tank.
D. The total income (y) of a worker who earns 8 dollars per hour depends on the number of hours (x) worked."

Answers

The situation that can be modeled by the linear function y = mx + b is given as follows:

D. The total income (y) of a worker who earns 8 dollars per hour depends on the number of hours (x) worked.

Which situations can be modeled by linear functions?

Situations that can be modeled by linear functions are situations in which there is a constant change per unit interval.

The example in this problem is given by option D, as for each hour worked, the rate of change is given as follows:

8 dollars.

That is, for each hour worked, the total income of the worker increases by $8, hence the slope is of:

m = 8.

Then the intercept b represents the flat pay of the worker, which is how much the worker earns no matter the amount sold.

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A vending machine has a total of 41 chocolate bars and bags of pretzels The number of chocolate bars is one less than twice the number of bags of pretzels. How many chocolate bars are in the vending machine?​

Answers

The number of chocolate bars that are in the vending machine are; 27 bars

How to solve algebra word problems?

We are told that the total number of chocolate bars and bags of pretzels in the vending machine is 41.

Let the number of bags of pretzels be x.

Now, we are told that number of chocolate bars is one less than twice the number of bags of pretzels. Thus;

Number of chocolate bars = 2x - 1

Thus, we can develop the algebraic expression as;

x + 2x - 1 = 41

3x - 1 = 41

3x = 42

x = 42/3

x = 14

Number of chocolate bars = 2(14) - 1 = 27 bars

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The product of a number and 3 is twice the sum of that number and 5

Answers

The number that the product and 3 is twice the sum of that number and 5 is 10.

How to find the number?

The product of a number and 3 is twice the sum of that number and 5.

Therefore,

let

x = the number

Hence,

3 × x = 2(x + 5)

3x = 2(x + 5)

3x = 2x + 10

subtract 2x from both sides of the equation

3x = 2x + 10

3x  - 2x = 2x - 2x + 10

x = 10

Therefore, the number is 10.

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When Hudson runs the 400 meter dash, his finishing times are normally distributed with a mean on 70 seconds and a standard deviation of 2 seconds. If Hudson were to run 22 practice trials of the 400 meter dash, how many of those trials would be between 71 and 73 seconds, to the nearest whole number?

Answers

The required number of trials is between 71 and 73 second is 5 trials.

Given that,
Hudson runs the 400-meter dash, his finishing times are normally distributed with a mean of 70 seconds and a standard deviation of 2 seconds. If Hudson were to run 22 practice trials of the 400-meter dash,

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

here,
let x be the time,
According to the question,
z = x - 70 / 2 then Z ≈ N(0, 1)
71 < x < 73
71 - 70 / 2 < z < 73 - 70 / 2
1 / 2 < Z < 3/2
P[1/2 < Z < 3/2] = 0.9332- 0.691
                      = 0.2417
Now,
Required trials = 22 [0.2417] = 5.3174

Thus, the required number of trials is between 71 and 73 second is 5 trials.

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What is the prime factorization of 16807 1680716807? Enter your answer as a product of prime numbers, like 2 × 3 2×32, times, 3, or as a single prime number, like 17 1717.

Answers

The Prime Factorization of 16807 are:7, 7, 7, 7, 7. This implies 7 raise to power 5.

What is prime factorization?

The term "Prime Factorization" refers to determining which prime numbers multiply together to produce the original number.

The process of writing all numbers as a product of primes is known as prime factorization. As an example, suppose we have the number 20. We can divide this into two categories. "Well, that's 2 time 2 times 5," we can say. Also, 5 is a prime number.

In this case 16807 will be:

16807 ÷ 7 = 2401

2401 ÷ 7 = 343

343 ÷ 7 = 49

49 ÷ 7 = 7

7 ÷ 7 = 1

Again, all the prime numbers you used to divide above are the Prime Factors of 16807. Thus, the Prime Factors of 16807 are:7, 7, 7, 7, 7.

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a line that passes thru (-3,4) and is parallel to y=2

Answers

Parallel lines have the same slope.

y=2 is a horizontal line and has a slope of 0, so the line parallel to it must also be horizontal and have a slope of 0.

Horizontal lines always have the form " y = k " for some number k and every point on that line has a y-value of k.

In this case, if you want the line to go through the point (-3,4), then the equation will be  " y = 4 ", since that's the y-value of the point on the line.

Answer:

y = 4

Step-by-step explanation:

A line with the equation y = a is a horizontal line that intercepts the y-axis at (0, a).

A line parallel to a horizontal line is another horizontal line.

If a horizontal line passes through point (p, q), then its equation is y = q, where q is the y-value of the point.

Therefore, the equation of a line that passes through (-3, 4) and is parallel to y = 2 is:

y = 4

what is the missing lengths for the problems?

Answers

Answer:

≈5.6

Step-by-step explanation:

Use ratios: 4/3 = 7.5/x

3 times 7.5 then divide by 4 to get 5.6

Let me know if this helped you out!

Write an equation of the line that passes through (8,9) and is parallel to the line y = -x-2.
An equation of the parallel line is

Answers

Answer:

y - 9 = -1 (x-8)

Step-by-step explanation:

y - y₁ = m (x - x₁) would be your formula, since it's parallel you already have your slope, -x (which also equals 1 so technically -1). You have a point (8,9) and a slope -1, all you need to do is plug it in the formula.

Hope this helped!!

An object was launched from the top of a hill with an upward vertical velocity of 170 feet per second. The height of the object can be
modeled by the function h(t) = -16t2 + 170t + 100, where t represents the number of seconds after the launch. Assume the object landed on the ground at sea level. Use technology to find the answer.
The object was __ feet in the air 9 seconds after it was launched.

Answers

The object was 334 feet in the air 9 seconds after it was launched.

The height of an object launched from the top of a hill can be modeled by the function h(t) = -16t² + 170t + 100, where t represents the number of seconds after the launch.

This function gives the height of the object in feet at any time t after the launch.

To find the height of the object 9 seconds after it was launched,

Substitute 9 for t in the function h(t) to calculate the height of the object at that time. This gives us the equation :

⇒ h(9)  = -16(9)² + 170(9) + 100

⇒ h(9)  = -16(81) + 1530 + 100

⇒ h(9)  = -1296 + 1530 + 100

⇒ h(9)  = 334 feet.

Therefore, 9 seconds after being launched, the object had reached a height of 334 feet.

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If f(x)=2x-3 and g(x)= [tex]\sqrt{x} +7[/tex]
then find f(g(x))

Answers

The value of the function, f(g(x)), is f(g(x)) = 2√x + 11

Evaluating a function

From the question, we are to determine the value of the given function f(g(x))

From the given information,

The given functions are

f(x) = 2x - 3

and

g(x) = √x + 7

To determine f(g(x)), we will substitute the value of g(x) for x in f(x)

That is,

f(x) = 2x - 3

f(g(x)) = 2(√x + 7) - 3

Apply the distributive property

f(g(x)) = 2√x + 14 - 3

Simplify

f(g(x)) = 2√x + 11

Hence, the value of f(g(x)) is 2√x + 11

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Find the value of x.

Answers

Answer:

x = 10

Step-by-step explanation:

we see that the two triangle are equivalent and therefore the two angles degrees are the same

set them equal to each other

5x - 11 = 8x - 41

then solve

add 41 to both sides

5x + 30 = 8x

subtract 5x to both sides

30 = 3x

swap them

3x = 30

divide all by 3

x = 10

thats your answer

The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $4400, which was to be divided equally among the members going. Prior to the trip, 15 members decided not to go. If the cost per person increased by $66, how many people went on the expedition?

Answers

25 persons went on the expedition as the total cost was $4400.

What is a quadratic equation?

A quadratic equation in algebra is any equation that can be written in standard form as where x stands for an unknown value and a, b, and c are known quantities. The assumption is that a > 0; equations with a = 0 are thought to be degenerate because they become linear or even simpler.

x denotes number of people

y denotes cost per person

Total cost =$4400

y = 4400 / x

15 members made the decision not to travel before the trip. The price per person went up by $66.

y +66 =4400 / (x -15)

(y +66) (x -15) = 4400

(4400/x +66)(x -15) = 4400

4400 -66000/x +66x -990 =4400

- 66000/x +66x=990

(- 66000 + 66x²) =990x

66x² - 990x - 66000 =0

x²-15x-1000=0

x =40 and x =-25 are the results of applying the quadratic formula to this quadratic equation. There is only sense in the positive x.

x- 15 =40-15=25 persons participated in the mission.

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Define a variable and write an equation for each real-world problem. (Examples 1-4) 1. The Marriott Rivercenter in San Antonio, Texas has a main roof height of 441 feet. With the additional height of antennas, the structure is 546 feet tall. What is the height of the antennas?​

Answers

The height of antennas added to the main roof of the Marriott Rivercenter in San Antonio is 105 feet.

Explain the term variable of the equation?A symbol (often a letter) used in mathematics to represent an unknowable numerical value in an expression or algebraic statement. A variable can be defined as a quantity that is changeable and not fixed. Variables are crucial since they make up a significant portion of algebra.

For the stated question-

Height of the main roof of Texas = 441 feet.

Height along with additional height of antennas = 546 feet.

Then,

Height of antennas = Total height - height of main roof.

Height of antennas = 546 feet - 441 feet

Height of antennas = 105 feet.

Thus, the height of the antennas added to the main roof of the Marriott Rivercenter in San Antonio is 105 feet.

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Ann is 10 years older than Bob. Ten years ago, Ann was twice as the old as Bob. How old is Ann now? How old is Bob now?

Answers

It doesn't seem like there is enough information to solve the scenario.

The biggest part we are missing to properly solve this would be:

We are missing the current age of Ann.

In exercises 11-14, solve the system of nonlinear equations using the graph.

Answers

Answer:

No solution

------------------------------

We see two graphs on the opposite sides of the x-axis.

There is no intersection, so no common points. It means there is no solution.

Two cars start moving from the same point. One travels south at 56 km/h and the other travels west at 42 km/h. At what rate (in km/h) is the distance between the cars increasing three hours later?

Answers

The distance between the cars increasing three hours later rate (in km/h) is 70km/h.

What do you mean by distance?

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

According to the given question,

We have given information:

Two cars start moving from the same point. One travels south at 56 km/h and the other travels west at 42 km/h.

Now, we will calculate the distance between the cars increasing three hours later,

S² + W² = D²

where S is the southbound car,

W is the westbound car,

D is the distance,

2 * S  dS/dt  + 2 W dW/dt = 2 D dD/dt

S  dS/dt  +  W dW/dt =  D dD/dt

In 3 hours,

S=3*56 = 168 and W = 3*42 = 126

and D = [tex]\sqrt{(168)^{2}+ (126)^{2}}[/tex] = 210

168 * 56 + 126 * 42 = 210 * dD/dt

(168 * 56 + 126 * 42) / 210 = dD/dt

dD/dt = (9408+5292)/210

dD/dt = 14700/210 = 70

Therefore, the distance between the cars increasing three hours later rate (in km/h) is 70km/h.

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How do you solve #18?
Find the value of X.

Answers

Answer:

x = 3

Step-by-step explanation:

Notice the markings in the lower two angles of the triangle. We are dealing with Angle Bisectors.

Angle Bisectors of a triangle intersect at the Incenter, which is Equidistant from the sides of the triangle (given by the perpendicular symbols).

Therefore, 2x = x+3  =>  x = 3

Solve the system of linear equations by graphing. y = 3/4x-4 y= -1/2x+11​

Answers

Taking into account the definition of a system of linear equations, the solution of the linear equation is (12,5).

System of linear equations

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

This case

In this case, the system of equations to be solved is

y = 3/4x-4

y= -1/2x+11​

There are several methods to solve a system of equations, it is decided to solve it using the graphical method. This method consists of representing the graphs associated with the equations of the system to deduce its solution. The solution of the system is the point of intersection between the graphs since the coordinates of said point satisfy both equations.

In this case, graphing both equations, it is obtained that the point of intersection, and therefore the solution, is (12,5).

The graph of the system of equations is attached.

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i need helpp please tell me what is the perimeter of the​ rectangle, in​ units, if b= 2 1/2??

Answers

1.The perimeter of a rectangle is found by adding up the length of all four sides. Since the two long sides are 12 cm, and the two shorter sides are 7 cm the perimeter can be found by:

The perimeter is 38 cm.

2.To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.

hope this helps

PLEASE TELL ME WHERE TO PUT IT AND IF IT SHOULD BE FILLED IN OR NOT

Answers

Answer:

Step-by-step explanation:

5x≥15

/5. /5

x≥3


On the number line we put a filled dot since it is both equal to and greater then at 3 and make it point to the right since it is greater it has to go up

Hopes this helps please mark brainliest

Answer:

Choose the bottom right ray and put it at 3.

Step-by-step explanation:

Brainliest, please!

I need help with this please help me

Answers

Answer:

67.38

Step-by-step explanation:

134.76/2 = 67.38

May I please have brainliest for this? Thank you!

Please help my cousin needs help i appreciate your help!

Answers

The area of the softball field is 4732 yd²

What is area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given is a field with side measurements,

To find the area will we divide the field into a trapezium and a triangle,

Area of trapezium = (sum of parallel sides)x height/2

Area of triangle = 1/2xbasexheight

Area of trapezium = (104+52)x26/2 = 2028 yd²

Area of triangle = 2704 yd²

Area of the field = 2704 + 2028 = 4732 yd²

Hence, The area of the softball field is 4732 yd²

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This article says short sleepers (fewer than 6 hours) are four times more likely to catch a cold than longer sleepers (over 7 hours). The article says "The researchers then sequestered 164 volunteers in a hotel, administered the cold virus via nasal drops and monitored them for a week." Without further info, what is potentially misleading?

Answers

The use of volunteer sampling means that the result of the survey is potentially misleading.

What is volunteer sampling?

Volunteer sampling is a sampling technique in which each participant in the sample opts to join the research, as is the case for this problem, as each participant opted to join in the project to compare their cold lengths.

The drawback of this type of sampling is that it should contain lots of participants that share similar characteristics, such as desiring to weight/diet, and this may influence their recovery to cold. The participants also may lie, which can cause misleading results to the study.

Options to remove misleading conclusions is to use a different type of sampling, such as stratified sampling, as groups of people that are either short or long sleepers are compared to reach a conclusion.

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Convert 8 ounces into grams. Round your
answer to the nearest whole number.
*Note: you must use these exact conversion factors to
get this question right.

Answers

Answer:

227

Step-by-step explanation:

I think

32x = 3(5x−8) is equivalent to the equation 3(2x) = 3(5x − 8).

True

False

Answers

Answer: False

Step-by-step explanation:

This is because when u simplify 32x = 3(5x−8), it is 32x = 15x - 24

When u simplify 3(2x) = 3(5x − 8), you will get 6x = 15x - 24

Anything helps! Thanks you :)

Answers

No.3
X=120

No.4
X=105

No.5
X=95

No.6
X=30

No.7
X=28

No.8
X=11

No.9
X=5.6

No.10
X=3

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true or false: the use of technology to modify organisms, cells, and their molecules to achieve practical benefits, primarily in agriculture, human health, and forensic science is referred to as biotechnology. zwang, incorporated, needs to raise $33.3 million, including all accounting and legal fees, to finance its expansion so has decided to sell new shares of equity via a general cash offering. the offer price is $17.75 per share and the underwriting spread is 6.95 percent. how many shares need to be sold? The ______________ function is used to compute the number of times a particular condition is satisfied within a given range of cells. the left end of a long glass rod 9.00 cmcm in diameter, with an index of refraction 1.56, is ground and polished to a convex hemispherical surface with a radius of 4.50 cmcm . an object in the form of an arrow 1.49 mmmm tall, at right angles to the axis of the rod, is located on the axis 23.0 cmcm to the left of the vertex of the convex surface.Find the position and height of the image of the arrow formed by paraxial rays incident on the convex surface. Is the image erect or inverted? All of the following are likely causes of Kaiser Permanente's difficulties before their new KPHealthConnect EXCEPT for:a) Bonus incentives not matching strategyb) The alignment of the Information Systems Strategy Trianglec) The failure of automated systemsd) The leadership and organizational culturee) Patient service processes needing to be updated and streamlined kaizen costing is an alternative to target costing, both developed by japanese manufacturers. true false Enter a function in cell H12, based on the payment and loan details, that calculates the amount of cumulative principal paid on the first payment. Be sure to use the appropriate absolute, relative, or mixed cell references.Facility Amortization Table 4 Loan Details Payment Details 6 Payment 7 APR 8 Years 9 Pmts per Year 10 $4,972.00 3.25% Loan Periodic Rate # of Payments $275,000.00 0.271% 60 12 Beginning Payment Principal RemainingCumulative Cumulative Payment Number Interest Principal Balance Amount Interest PaidRepayment Balance $275,000.00 $4,972.00 ($89.89) 12 13 14 15 16 17 18 19 20 21 4 6 10 23 24 25 26 27 28 12 13 14 15 16 17 Which of the following is not a principle of natural selection? Evolution will occur as an organism gets older. and learns more Most species produce more offspring than will actually survive Organisms compete for limited resources adaptations allow some organisms to survive and rcproduce bctter than In every population; others which of the following describes the first step in the union organizing process? question 23 options: 1) employees request a visit from union officials to determine which union will be the best match to their needs. 2) employees select a list of alternative unions. 3) nrlb clears the way for a vote on whether to unionize. 4) union makes contact with employees. 5) employees set up objectives which unions will need to achieve. a skydiver leaps from a plane and accelerates toward the surface of the earth. earths acceleration toward the skydiver is: what is the name of the autocad functionality that allows you to create objects that have specific relations to other objects in real time? The Inca were defeated by the Spanish because they had inferior weapons. The Incas main weapons were __________.A.clubs and slingsB.guns and cannonsC.axes and arrowsD.swords and armor which of the following takes place when a public official makes a decision that might result in a personal economic advantage? What percent of 60 is 51? consider a negatively charged protein adsorbed on anion-exchange gel at ph 8. (a) how will a gradient from ph 8 to some lower ph be use- ful for eluting the protein? imagine we found a strong positive correlation between depression and sleep problems. we might hypothesize that this relationship is explained by worry (i.e., depressed people tend to worry more than non-depressed people, leading them to experience more sleep problems). what type of analysis could we conduct to test this hypothesis? Which of the following has the same value as -5 - 15?A -15 - (-5)B-5 + 15C-5 + (-15)D-15 + 5 (LOTS OF POINTS)4. (Multiple Choice) In the figure shown, which of the following is the greatest?A. aB. bC. cD. dE: e if the auditor believes that financial statements prepared on the entitys income tax basis are not suitably titled, the auditor should suppose identical amounts of heat transfer into different masses of mercury and water, causing identical changes in temperature. what is the ratio of the mass of mercury to water?