Evaluate the expression. 8 x 7 - 12 ÷ 6 please anwser fast

Answers

Answer 1

Answer:

54

Step-by-step explanation:

8*7-12/6=56-2=54

Answer 2

Answer:

56-2=54

Step-by-step explanation:

8×7 - 12÷6 =56 - 2= 54


Related Questions

3. Sherri bought a package of pens that contained 15 pens. How many packages should she
buy if she needs 240 pens?​

Answers

Answer:

16 packages

Step-by-step explanation:

240 / 15 = 16 packs

(02.01)The ratio of X's to O's is 12 over 9. . Use the image below to determine another ratio for X's to O's: Image with 12 Xs and 9 circles. The 12 Xs are broken down so that there are 4 Xs 3 times and the circles are broken down so that there are 3 circles 3 times.

3 over 4.
9 over 12.
4 over 3.
9 over 4.

Answers

Answer:

4 over 3 or 4 : 3.

Step-by-step explanation:

See the diagram attached.

Now, The ratio of X's to O's is 12 : 9.

Now, we have to determine another ration for X's to O's.

The image will help us to do that.

There are 12 numbers of X and that can be broken into 3 sets of X with 4 X in each set. Hence, 12 = 3 × 4

Again, there are 9 numbers of O and that can be broken into 3 sets of O with 3 O in each set. Hence, 9 = 3 × 3

Therefore, the ratio of X's to O's is 12 : 9 ≡ (3 × 4) : (3 × 3) ≡ 4 : 3

{Cancelling 3 from each term} (Answer)

Answer:

The answer is 4 over 3.

Step-by-step explanation:

if you look at the image all you have to do is count the X's on the top, and that's the top of your fraction, then count the bottom number, that's the bottom of your fraction.

4 on the top three on the bottom so your fraction/ratio is 4 over 3!

hope this helped!!!

write (-3, 5) and (-2, -6) standard form

Answers

Answer:The numbers are already in standard form

Step-by-step explanation:

What is cos θ when sin θ = 2/5? Rationalize the denominator if necessary.

Answers

Answer:

[tex]cos(\theta)=\frac{\sqrt{21}}{5}[/tex]

Step-by-step explanation:

we have that

The angle [tex]\theta[/tex] belong the the First Quadrant (see the figure)

so

[tex]cos(\theta)\ and\ sin(\theta)[/tex] are positive values

we know that

[tex]sin^2(\theta)+cos^2(\theta)=1[/tex] ----> trigonometric identity

we have

[tex]sin(\theta)=\frac{2}{5}[/tex]

substitute in the identity

[tex](\frac{2}{5})^2+cos^2(\theta)=1[/tex]

[tex]cos^2(\theta)=1-\frac{4}{25}[/tex]

[tex]cos^2(\theta)=\frac{21}{25}[/tex]

square root both sides

[tex]cos(\theta)=\frac{\sqrt{21}}{5}[/tex]

For the basic function f(x) = x, what conclusions can you make about fix) and
f(x) - 5? Select all that apply.

a. They intercepts are the same.
b. The function () - 5 has a greater rate
of change
c. They are parallel lines:
d. The graph of the function(x) is translated
down 5 units to produce fix) - 5.

Answers

Answer:

c, d

Step-by-step explanation:

If f(x) = x, then f(x) - 5 = x - 5.

The two functions in slope-intercept form (y = mx+ b) are:

[1] y = x     and     [2] y = x - 5

In equation [1], the slope is 1 and the y-intercept is 0.

In equation [2], the slope is 1 and the y-intercept is -5.

a. The y-intercepts are not the same. 0 ≠ -5

b. The rates of change, or the slopes, are the same, neither are greater than the other. 1 = 1

c. They are parallel lines. Lines are parallel when they have the same slope.        1 = 1.

d. The (-5) indicates that the new function is translated down (-) by 5 units (5) from the parent function f(x) = x.

c and d are correct.

what is the mode of this data?
1.7 8.9 3 5.9 3.2 4.1 6.6 0.7

Answers

Answer:

The value of Mode is 2.43

Step-by-step explanation:

To find the mode of the given data first we have to arrange it in a increasing order then find out mean and median of the given data 0.7,1.7,3,3.2,4.1,5.9,6.6,8.9 is in increasing order For finding the median we need to take the average of 4th and 5th terms because we have the no of terms in the sequence is even not odd so we need to take the average the 4th term=3.2 and the 5th term =4.1so average =(3.2+4.1)/2=3.65so the median is equal to 3.65For mean we have to take the average of the data so mean= sum of all data /no of data mean =(0.7+1.7+3+3.2+4.1+5.9+6.6+8.9)/8=4.26so by using the formula we can get modeMode=3×Median-2×MeanMode=3×3.65-2×4.26=2.43∴The value of Mode is given as 2.43

27/22 as a decimal rounded to the nearest tenth

Answers

Final answer:

The fraction 27/22, when converted into a decimal and rounded to the nearest tenth, is approximately 1.2.

To convert a fraction to a decimal, divide the numerator by the denominator. In this case, divide 27 by 22.

Explanation:

The question asks to convert the fraction 27/22 into a decimal, rounded to the nearest tenth. First off, we calculate the division of 27 by 22, which gives us approximately 1.227. However, we need to round this figure to the nearest tenth, which results in the value of 1.2. Be sure to understand that when we say 'rounded to the nearest tenth', we refer to the first digit after the decimal point.

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yan is running on a track that is of a km long. She can run 4 laps in 12
minutes. What is her speed in km per minute?​

Answers

Answer:

3 km per minute

Step-by-step explanation:

12/4=3 laps

3 km per minute

Write an equation in slope intercept form for a line through the following: through (5,2). with a slope of -1/2

Answers

good evening ,

Answer:

let D represent the line

D : y = (-1/2)x + 4.5

Step-by-step explanation:

The equation for the line D is y=mx+p

now let’s find m and p

m is the slope then m= (-1/2)

A(5,2)∈D ⇌ 2=(-1/2)×5+p ⇌ p=9/2=4.5.

that’s it.

Look at the photo below for more info.

:)

I will mark as brainiest who ever get this right

You are preparing cookies using a recipe that serves 240 people. However, you only want to make enough for 60 people. The original recipe is as follows:


9 cups all-purpose flour

4 teaspoons baking soda

4 teaspoons salt

4 cups butter

3 cups granulated sugar

3 cups packed brown sugar

4 teaspoons vanilla extract

8 large eggs

8 cups Semi-Sweet Chocolate Morsels


How much of each ingredient should you use to make a batch of these cookies for 60 people?

Answers

Answer:

2.25 cups of flour

1 teaspoon of baking soda

1 teaspoon of salt

1 cup of butter

0.75 cups of granulated sugar

1 teaspoon of vanilla extract

2 large eggs

2 cups of Semi-Sweet Chocolate Morsels

Step-by-step explanation:

The ingredients should be 4 times less than the original ones because 240:4=60

(-5, -20), (9,9)
Slope

Answers

Answer:

m=29/14

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-(-20))/(9-(-5))

m=(9+20)/(9+5)

m=29/14

The required slope is [tex]\dfrac{29}{14}[/tex].

Given:

The two points are [tex](-5,-20)[/tex] and [tex](9,9)[/tex].

To find:

The slope of the line.

Explanation:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Using the slope formula, we get

[tex]m=\dfrac{9-(-20)}{9-(-5)}[/tex]

[tex]m=\dfrac{9+20}{9+5}[/tex]

[tex]m=\dfrac{29}{14}[/tex]

Therefore, the slope of the line is [tex]\dfrac{29}{14}[/tex].

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8+5y=(8y-6)-7 how to work it out

Answers

the solution is y = 7

Step-by-step explanation:

Given equation is

[tex]8+5y=(8y-6)-7[/tex]

The equation has to be solved for y

So,

Opening brackets first

[tex]8+5y=8y-6-7\\8+5y=8y-13[/tex]

Subtracting 8 from both sides

[tex]8+5y-8=8y-13-8\\5y=8y-21[/tex]

subtracting 8y from both sides

[tex]5y-8y = 8y-21-8y\\-3y=-21y[/tex]

Dividing both sides by -3

[tex]\frac{-3y}{-3} = \frac{-21}{-3}\\y = 7[/tex]

so,

the solution is y = 7

Keywords: Linear equation, variables

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2+2+2+2x1=What I have no clue please help

Answers

Answer:

8

Step-by-step explanation:

Im guessing that the x means multiplication

so PEMDAS

so 2 times 1 is 2 so basically it is now

2+2+2+2= 8

Answer:

Your answer is 8 :)

Step-by-step explanation:

2+2 is 4

4+2 is 6

6+2 is 8

Then 8 times 1 is 8, because anything times 1 is that number!

Hope it helps!!

In which of the tables below x and y are inversely proportional? Find the constant of variation. If there is one. (a) x:y, 3:8, 4:6, 5:4.8, 5.5:4
(b) x:y, 0.1:300, 0.5:60 75:0.4, 100:0.3

Answers

Answer:

The table B represent an inverse variation  

The constant of variation k is 30

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]

Verify table A

For x=3, y=8 ----> [tex]k=y*x[/tex] ----> [tex]k=8*3=24[/tex]

For x=4, y=6 ----> [tex]k=y*x[/tex] ----> [tex]k=6*4=24[/tex]

For x=5, y=4.8 ----> [tex]k=y*x[/tex] ----> [tex]k=4.8*5=24[/tex]

For x=5.5, y=4 ----> [tex]k=y*x[/tex] ----> [tex]k=5.5*4=22[/tex]

The values of k are different

therefore

The table A not represent an inverse variation  

Verify table B

For x=0.1, y=300 ----> [tex]k=y*x[/tex] ----> [tex]k=300*0.1=30[/tex]

For x=0.5, y=60 ----> [tex]k=y*x[/tex] ----> [tex]k=60*0.5=30[/tex]

For x=75, y=0.4 ----> [tex]k=y*x[/tex] ----> [tex]k=75*0.4=30[/tex]

For x=100, y=0.3 ----> [tex]k=y*x[/tex] ----> [tex]k=100*0.30=30[/tex]

All the values of k are the same

therefore

The table B represent an inverse variation  

The equation is equal to

[tex]y*x=30[/tex]

Answer: Only (A)

If you go RSM this the Answer.

Bevo has $5000 to invest. Bank A offers a savings account that has an APR of 1.15% and compounds monthly. Which equation will determine how much money Bevo will have in his account after 9 years?

Answers

The equation [tex]A=5000(1.000958333)^{108}[/tex] will determine how much money Bevo will have in his account after 9 years

Step-by-step explanation:

The formula for compound interest, including principal sum is

[tex]A=P(1+\frac{r}{n})^{nt}[/tex] , where:

A is the future value of the investment/loan, including interestP is the principal investment amount (the initial deposit or loan amount)r is the annual interest rate (decimal)n is the number of times that interest is compounded per unit tt is the time the money is invested or borrowed for

Bevo has $5000 to invest. Bank A offers a savings account that has an APR of 1.15% and compounds monthly

We need to find Which equation will determine how much money Bevo will have in his account after 9 years

Because there is no choices we will write the equation

∵ Bevo has $5000 to invest

∴ P = 5000

∵ Bank A offers a savings account that has an APR of 1.15%

   and compounds monthly

∴ r = 1.15% = 1.15 ÷ 100 = 0.0115

∴ n = 12 ⇒ compounds monthly

∵ t = 9

- Substitute all of theses values in the formula below

∵ [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

∴ [tex]A=5000(1+\frac{0.0115}{12})^{(12)(9)}[/tex]

∴ [tex]A=5000(1.000958333)^{108}[/tex]

The equation [tex]A=5000(1.000958333)^{108}[/tex] will determine how much money Bevo will have in his account after 9 years

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Final answer:

The equation to find out how much Bevo will have in his account after 9 years by investing $5000 in a saving account at Bank A which offers an APR of 1.15% compounding monthly is given by the future value formula of compound interest: FV = P(1 + r/n)^(nt). By plugging the values into this formula, Bevo can determine his future balance.

Explanation:

The subject of this question is about understanding compound interest. Specifically, it is about interpreting how Bevo's financial investment would grow over a certain period at a specific rate of interest in a savings account. The equation to calculate the future value (FV) of Bevo's investment, compounded monthly, is given by the compound interest formula:

FV = P(1 + r/n)^(nt)

Where:

P is the principal amount (the initial amount of money Bevo has to invest, in this case $5000).r is the annual interest rate in decimal form (the APR divided by 100, for Bank A this would be 1.15/100 = 0.0115).n is the number of times that interest is compounded per unit t, in this case, this value is 12 (as it is compounded monthly).t is the time the money is invested for in years (specified in the question as 9 years).

This gives a better understanding of how savings accounts and compounded interest work.

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A gallon of chevron gas is currently $3.75 per gallon. If your car's tank holds 12.25 gallons, about how much will it cost to fill the tank

Answers

Multiply the number of gallons by the price per gallon:

12.25 gallons x 3.75 per gallon = $45.94 total.

What is 3z+3/4-2z equal

Answers

The answer to this question is Z+3/4
Final answer:

The simplified expression of 3z + (3/4) - 2z is z + (3/4).

Explanation:

The expression 3z + (3/4) - 2z can be simplified by combining like terms. Like terms have the same variable and exponent. In this case, the like terms are the 3z and the -2z. When you combine them, you get z. So the simplified expression is z + (3/4).

Which situation is best modeled by the equation
7-x=3?
CLEAR
CHECK
You spend $7 to enter a theme park, and then $3 per ride.
Three friends each get an equal share of the $7 they
earned.
You have some money left after you spend $7 and $3.
The price of a book, $7, was lowered by some amount to
$3.​

Answers

Answer:

Step-by-step explanation:

The last one

The equation 7 - x = 3 is best modeled by the situation where the original price of a book at $7 is lowered by an amount of $4 to reach the final price of $3.

The given equation 7 - x = 3 can be used to model a situation where the price of a book, originally $7, is reduced by some amount to $3. After solving the equation by subtracting 7 from both sides and then multiplying by -1, we get x = 4. This means the amount reduced from the original price is $4, which is consistent with a price reduction scenario: the book's original price was $7, and it was reduced by $4, bringing the final price to $3.

Mrs. Jones ordered 5 cheese pizzas and 1 pepperoni pizza. She ordered a total of 6 pizzas. What fraction of pizzas are cheese?

Answers

Answer:

5/6

Step-by-step explanation:

5 is the amount of cheese pizzas Mrs. Jones ordered out of the 6 pizzas in total. 5 is a prime number, so the fraction cannot be simplified.

Find the number of roots for each equation.
5. 5x4 + 12x3 – x2 + 3x + 5 = 0

Answers

Answer:

The number of roots for  equation [tex]5x^4 + 12x^3 – x^2 + 3x + 5 = 0[/tex] is 4 .

Step-by-step explanation:

Here, the given function polynomial is :

[tex]P(x) : 5x^4 + 12x^3 – x^2 + 3x + 5 = 0[/tex]

The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots (counting multiplicity).

Now here, the degree if the polynomial is 4 (highest power of variable x).

So, according to the Fundamental Theorem, the given polynomial can have AT MOST 4 roots, counting Multiplicity.

Hence,  the number of roots for  equation [tex]5x^4 + 12x^3 – x^2 + 3x + 5 = 0[/tex] is 4 .

If 1 inch represents 10 miles on a map, then how many inches will represent 120 miles?

Answers

Answer:

12

Step-by-step explanation:

120 divide by 10

Answer:

12

Step-by-step explanation:

120/10

The figure shows two parallel lines KL and NO cut by the transversals KO and LN:
Which statement best explains the relationship between AKLM and AONM?
AKLM - AONM because mx3 = m_4 and m_1= m25
AKLM - AONM because m23 = m26 and mZ1=m24
AKLM E AONM because mZ3 =m24 and m_1=m25
AKLM = AONM because m23 =mZ6 and mZ1=m24

Answers

Answer:

the first answer posted is wrong

Step-by-step explanation:i put it in my exam and it was wrong  and  i think the right answermight be

AKLM = AONM because m23 =mZ6 and mZ1=m24

Let g(x) be the reflection of f(x) = x² + 3 in the y-axis. What is a function rule for g(x)?

Answers

It's [tex]g(x)=f(-x)=f(x)[/tex].

Reflection over y-axis is the same as original function.

Hope this helps.

Blaine buys 2 books and the total cost is $24.18. What is the constant of proportionality that relates the cost in dollars, y, to the number of books, x?

Answers

Answer:

$ 12.09

Step-by-step explanation:

formula Y = KX

Where; y = $ 24.18

            x = 2 books

            k = constant of proportionality

Step 1. Do the equation based on the formula

Y = kx

$24.18 = k2

Step 2.  Divide by 2

$24.18/2 = k2/2

k = $12.09 (answer)

2 and 1/7 :(15a)= 5/14 :(0.8)

Answers

Answer:

a = 0.32

Explanation:

This question requires that you find the value of    [tex]a[/tex]    given that:

[tex]2\frac{1}{7}:(15a)=(5/14)/(0.8)[/tex]

That is you have to solve the equation for a.

1. Rewrite the equation in form of fractions, convert the mixed number into an improper fraction, and convert the decimal number into fraction too.

[tex]2\frac{1}{7}:(15a)=(5/14)/(0.8)\\ \\ \frac{2+\frac{1}{7} }{15a} =\frac{5/14}{8/10}\\ \\\frac{(14+1)/7}{15a} =\frac{5\times 10}{8\times 14}\\ \\ \frac{15}{7\times 15a} =\frac{50}{112}[/tex]

2. Cross multiply to leave a alone:

[tex]a=15\times 112/(7\times 15\times 50)\\ \\a=1680/5250\\ \\a=0.32[/tex]

Which pair of angles are same side exterior angles?

2 and 8
1 and 8
2 and 4
3 and 7

Answers

Answer:

Exterior angles are the ones on the outside and same side means they sit on the same side of the bisector so your answer is 1 and 8

Step-by-step explanation:

∠1 and ∠8  are same side exterior angles

If a transversal line intersect 2 parallel lines, then same sides exterior angles

are supplementary.

This means same side exterior angles sum up to 180 degrees. Therefore,

∠1 and ∠8 are same side exterior angles.

This means ∠1 and ∠8  are supplementary angles . They sum up to 180 degrees.

∠1 + ∠8 = 180°

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Find the 15th term of the geometric sequence 3, -6, 12, ...

Answers

Answer:

49152

Step-by-step explanation:

Final answer:

To find the 15th term of the geometric sequence 3, -6, 12, ..., we identify the common ratio as -2 and use the formula for the nth term of a geometric sequence. By calculating 3 * (-2)^14, we find that the 15th term is 49152.

Explanation:

To find the 15th term of the geometric sequence 3, -6, 12, ... we first need to determine the common ratio. By dividing the second term by the first term, we find that the common ratio is -2.

Formula for the nth term of a geometric sequence:

an = a1 × r(n-1), where an is the nth term, a1 is the first term, r is the common ratio, and n is the term number.

Finding the 15th term:

Plugging in the values, we get: a15 = 3 × (-2)(15-1) = 3 × (-2)14. Since (-2)14 is positive (because any even power of a negative number is positive), the 15th term will be positive. Calculating the value, a15 = 3 × 16384 = 49152.

Therefore, the 15th term of the geometric sequence is 49152.

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Factor the expression.
3x2 + 7x-6

Answers

Answer:

this answer is. _48 am I right

the factored form of the expression [tex]\(3x^2 + 7x - 6\) is \((3x - 2)(x + 3)\).[/tex]

To factor the expression [tex]\(3x^2 + 7x - 6\),[/tex] we need to find two numbers that multiply to give [tex]\(3 \times (-6) = -18\)[/tex] and add to give the middle coefficient, (7)

The two numbers that meet these criteria are [tex]\(9\) and \(-2\).[/tex]

Now, we can rewrite the middle term \(7x\) as the sum of these two terms:

[tex]\[3x^2 + 9x - 2x - 6\][/tex]

Next, we group the terms and factor by grouping:

[tex]\[3x(x + 3) - 2(x + 3)\][/tex]

Now, we can factor out the common factor [tex]\(x + 3\):[/tex]

[tex]\[(3x - 2)(x + 3)\][/tex]

So, the factored form of the expression [tex]\(3x^2 + 7x - 6\) is \((3x - 2)(x + 3)\).[/tex]

simplify
-4(11+4n)-3(-2n+9)

Answers

Answer:

-71-10n

Step-by-step explanation:

-4(11+4n)-3(-2n+9)

-44-16n+6n-27

-44-27-10n

-71-10n

find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(-4,-8), B(0,0) ; 3 to 1

Answers

Final answer:

To find the coordinates of point P along the directed line segment AB so that AP to PB is in the ratio 3 to 1, we use the section formula. Substituting the values into the formula, we find that the coordinates of point P are (-1, -2).

Explanation:

To find the coordinates of point P along the directed line segment AB so that AP to PB is in the ratio 3 to 1, we can use the concept of section formula.

The section formula states that if we have two points A(x1, y1) and B(x2, y2), and we want to find a point P along the line segment AB such that AP to PB is in the ratio m to n, then the coordinates of P can be found using the following formulas:

x = (mx2 + nx1) / (m + n)

y = (my2 + ny1) / (m + n)

In this case, A(-4, -8) and B(0, 0).

Let's substitute the values into the formula:

x = (3 * 0 + 1 * -4) / (3 + 1) = -4/4 = -1

y = (3 * 0 + 1 * -8) / (3 + 1) = -8/4 = -2

Therefore, the coordinates of point P are (-1, -2).

Final answer:

To find point P on line segment AB where AP:PB = 3:1, we use section formula to get P's coordinates as (-1,-2). This method applies interpolation of the endpoints' coordinates, A(-4,-8) and B(0,0), by their respective weights in the given ratio.

Explanation:

To find the coordinates of point P on the directed line segment AB such that the ratio of AP to PB is 3 to 1, we can use the section formula which combines the x and y coordinates of A and B weighted by the given ratio, since P divides AB internally in the ratio 3:1.

The coordinates of A are (-4, -8) and the coordinates of B are (0, 0). Using the section formula, we can find the coordinates of P as follows:

Let x and y be the coordinates of P.

The x-coordinate of P is given by ((3 * 0) + (1 * (-4))) / (3 + 1) = -1.

The y-coordinate of P is given by ((3 * 0) + (1 * (-8))) / (3 + 1) = -2.

Therefore, the coordinates of P are (-1, -2).

This process involves interpolation of the given points in the specific ratio to find the required coordinates.

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Two accounting professors decided to compare the variance of their grading procedures. To accomplish this, they each graded the same 10 exams, with the following results: Mean Grade Standard Deviation Professor 1 79.3 22.4 Professor 2 82.1 12.0 At the 10% level of significance, what is the decision regarding the null hypothesis? A) Reject the null hypothesis and conclude the variances are different. B) Fail to reject the null hypothesis and conclude no significant difference in the variances. C) Reject the null hypothesis and conclude the variances are the same. D) Fail to reject the null hypothesis and conclude the variances are the same. A town in east Texas received 20 inches of rain in two weeks. If it kept raining at this rate for a 31day month, how much rain did the town receive? Round your answer to the nearest inch. The town received approximately inches of rain during a 31day month In what way were town meetings important to the development of local government? How might they have helped the growth of representative government? Two factory plants are making TV panels. Yesterday, Plant A produced 16,000 panels. Five percent of the panels fromPlant A and 2% of the panels from Plant B were defective. How many panels did Plant B produce, if the overall percentageof defective panels from the two plants was 4%?Please help What are the benefits of having strong corporate governance? a. Managers and employees fear for their jobs; fear improves productivity. b. There are no benefits to corporate governance, which is seen as an unneeded expense. c. The ability to be strategically competitive and perform without risk of being ethically or legally exposed. d. One person has a large amount of power to make actions as quickly and riskily as necessary. When Madison visits her grandparents' house, she runs straight to Grandma and gives her a hug. Then, Grandma takes Madison to the kitchen and gives her a freshly-baked cookie. Over time, Madison learns that hugging Grandma usually leads straight to cookies so she hugs Grandma often. This is an example of which principle of learning? Which is a net ionic equation for the neutralization of a weak acid with a strong base? what does the simile in this sentence really mean? Professor Cay notes that respondent Mary Ginger is a 54 year old grandmother who has two grandchildren living in her household. Neither of the grandchildrens parents live with them although Mary is the maternal grandmother. Cay also learns that Ginger had to quit her job in order to stay home with the young grandchildren because Ginger feared leaving the two youngsters with a baby-sitter or in child care. Two of Gingers friends were dealing with similar situations and a third friend was considering whether to obtain custody of her grandchild. Thus, Cay learned that Ginger wasnt feeling "alone" in caring for her grandchildren. Using this information alone, it sounds like Professor Cay is doing A. A case-oriented nomothetic analysisB. A case-oriented idiographic analysisC. A variable-oriented nomothetic analysisD. A variable-oriented idiographic analysisE. A cross-case analysis Company C has a machine that, working alone at its constant rate, processes 100 units of a certain product in 5 hours. If Company C plans to buy a new machine that will process this product at a constant rate and if the two machines, working together at their respective constant rates, are to process 100 units of this product in 2 hours, what should be the constant rate, in units per hour, of the new machine? A. 50 B. 45 C. 30 D. 25 Suppose that a comet that was seen in 550 A.D. by Chinese astronomers was spotted again in year 1941. Assume the time between observations is the period of the comet and take its eccentricity as 0.997. What are (a) the semimajor axis of the comet's orbit and (b) its greatest distance from the Sun? A heavy boy and a lightweight girl are balanced on a massless seesaw. If they bothmove forward so that they are one-half their original distance from the pivot point,what will happen to the seesaw? Assume that both people are small enough compared to the length of the seesaw to be thought of as point masses.A. It is impossible to say without knowing the masses.B. It is impossible to say without knowing the distances.C. The side the boy is sitting on will tilt downward.D. Nothing will happen; the seesaw will still be balanced.E. The side the girl is sitting on will tilt downward. Which is the most abundant kind of tissue in an animal, such as a gorilla? A) muscle B) nervous C) epithelial D) connective Use the words artisanand mummy in asentence. The motion detector used in a physics lab sends and receives 30 kHz ultrasonic pulses. A pulse goes out, reflects off the object being measured, and returns to the detector. The lab temperature is 20 C. Discrimination of Y= -4x^2+ 2x+1 Brenda has $500 in her bank account Every week, she withdraws $40 for expeses. Without making any deposits, how many weeks can she withdraw this money if she wants to maintain a balance of a least $200 The ability of the heart to pump blood through the body efficiently represents The child is the dark shadow of soulders on guard with rifles saracens and batons the child present at all assemblies and law giving a the child peers through the windows of houses and into the hearts of mothers this child who just wanted to play in the sun at nygana is everywhere the child grown to a man treks through africa. in this excerpt from ingrid jonkers poem, the child is not dead the child most likely refers to ___ a. the system of apartheid b. the struggle for freedom c. the racism in every country d. the corruption in government Populations evolve for many reasons. Suppose there is a population of plants that have either purple flowers or white flowers, and the allele for purple flowers is dominant. This means that plants with two purple alleles have purple flowers. Plants with one purple allele and one white allele also have purple flowers. Only plants with two white alleles have white flowers.For each event or condition described below, answer the following questions.a. Which mechanism of evolution is at work?b. How does this event affect the population's gene pool? c. Do the frequencies of the two alleles change, and if so, how?