If you need to put 28.93 gallons of ice cream into just cups, how many cups can you make out of these? Round to a whole number.

Answers

Answer 1

Answer:

16 cups = 1 gallon

16( 28.93) = 462.88

Therefore, there are 462 cups of ice cream.

Step-by-step explanation:

Answer 2

Answer:

463 cups

Step-by-step explanation:

16 cups in one gallon.

1 | 28.93

—————- = 462.88 cups

| 16


Related Questions

A new golf bag has a compartment that is roughly a rectangular prism that has dimensions of 6 inches by 8 inches by 9 inches. How many golf balls will
fit in the compartment if a golf ball has a diameter of 1.7 inches? (Reminder: You can assume that for random packing space 190% of the volume of the
sphere is needed to pack the spheres and Volume of Sphere = 4/3 pim3)
21 balls
88 balls
63 balls
57 balls

Answers

Final answer:

To find the number of golf balls that can fit in the compartment, we calculate the volume of the compartment and then divide by the volume required to pack a golf ball. We can fit around 88 golf balls in the bag.

Explanation:

We first need to find the volume of the rectangular prism. The volume of a rectangular prism can be found by multiplying the length, width, and height. So, volume = 6 * 8 * 9 = 432 cubic inches.

Next, we can find the volume of a golf ball which is a sphere using the formula 4/3 * π * r³ where r is the radius of the sphere. The diameter of the golf ball is given as 1.7 inches, which means the radius is 1.7/2 = 0.85 inches. So, the volume of the golf ball = 4/3 * π * (0.85)^3 = 2.57 cubic inches (approx).

As per the question, in a random packing of spheres, 190% of the volume of the sphere is needed. Therefore, the required volume for each ball = 2.57 * 190/100 = 4.87 cubic inches. The total number of balls that will fit = volume of rectangle/volume of each ball = 432/4.87 = 88 (rounded down to a whole number). So, the answer is 88 balls.

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A 9-pound bag of potatoes costs $4.14. What is the unit price per pound? 2 points
$0.46
$2.17
$0.046
O
$0.22

Answers

Answer:

Step-by-step explanation:

Unit price = Total price

                     number of items

= 4.14/9

= $0.46

Please help!

Will mark as brainliest for answering questions 10-16!

Please and thank you guys so much, hope you guys are protected from Coronavirus!

Answers

Answer:

10. Perimeter = 56 ft  ;  Area = 195 sq. ft.

11. If my math is correct, Perimeter = 76 km  ;  Area = 706 sq. km

12. Circumference = 100[tex]\pi[/tex] cm  ;  Area = 2500[tex]\pi[/tex] sq. cm

13. Circumference = 24[tex]\pi[/tex] ft.  ;  Area = 144[tex]\pi[/tex] sq. ft.

14. Perimeter = 62 ft.  ;  Area = 238 sq. ft.

15. Circumference = 22[tex]\pi[/tex] yd.  ;  Area = 121[tex]\pi[/tex] sq. yd.

16. Perimeter = 40 mm  ;  Area = 100 sq mm

Step-by-step explanation:

NEED HELP FAST!!!!! The scatterplot represents the total fee for hours renting a bike. The line of best fit for the data is y = 6.855x + 10.215.

A graph shows hours of rental labeled 2 to 6 on the horizontal axis and cost in dollars on the vertical axis. A line increases from 0 to 6.

Which table shows the correct residual values for the data set?

A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, 1.22, 1.315, negative 1.99.
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries 2.12, negative 1.575, negative 1.22, negative 1.315, 1.99.
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries 2.12, negative 1.575, 1.22, negative 1.315, 1.99.
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, negative 1.22, 1.315, negative 1.99.

Answers

Answer:

I was on a unit test so i couldn't look at the right answer but i believe it was A but i could be wrong

Step-by-step explanation:

The given data and line of best fit (function) of y = 6.855·x + 10.215 give

the table that shows the correct residual values as follows;

[tex]\begin{array}{|c|c|c|c|}x&Given& Residual \\1&14.95&-2.12\\2&25.50&1.575\\3&32&1.22\\4&38.95&1.315\\5&42.5&-1.99\end{array}\right][/tex]

How can the residual values be calculated?

The residual values = Actual value - Predicted value

The given table is resented as follows;

[tex]\begin{array}{|c|c|c|c|}x&Given&Predicted = 6.855 \times x + 10.215& Residual = Actual - Predicted\\1&14.95&17.07&-2.12\\2&25.50&23.925&1.575\\3&32&30.78&1.22\\4&38.95&37.635&1.315\\5&42.5&44.49&-1.99\end{array}\right][/tex]

From the above completed table, the correct option is therefore;

[tex]\begin{array}{|c|c|c|c|}x&Given& Residual \\1&14.95&-2.12\\2&25.50&1.575\\3&32&1.22\\4&38.95&1.315\\5&42.5&-1.99\end{array}\right][/tex]

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Which of the following shows the Identity Property for Addition?

A. 9 + (-9)=0
B. 9 + 0 = 9
C. 9 = 9
D. 9 x 1 = 9

Answers

I think it’s gonna be B
The answer is B. 9+0=9

The rectangle below has an area of x^2+8x+15x

2

+8x+15x, squared, plus, 8, x, plus, 15 square meters and a width of x+3x+3x, plus, 3 meters.

What expression represents the length of the rectangle?

Answers

Answer:

The length of the rectangle is x+5.

Step-by-step explanation:

Given : The rectangle below has an area of [tex]x^2+8x+15[/tex] square meter and a width of  [tex]x+3[/tex] meter.

To find : What expression represents the length of the rectangle?

Solution :

The area of the rectangle is given by,

[tex]\text{Area}=\text{Length}\times \text{Breadth}[/tex]

[tex]\text{Area}=x^2+8x+15[/tex]

[tex]\text{Breadth}=x+3[/tex]

[tex]x^2+8x+15=\text{Length}\times(x+3)[/tex]

[tex]\text{Length}=\frac{x^2+8x+15}{x+3}[/tex]

[tex]\text{Length}=\frac{(x+5)(x+3)}{x+3}[/tex]

[tex]\text{Length}=x+5[/tex]

Therefore, the length of the rectangle is x+5.

Final answer:

The length of the rectangle is found by dividing the area (x² + 8x + 15) by the width (x + 3), which simplifies to x + 5 meters, as the (x + 3) factor cancels out.

Explanation:

To find the length of the rectangle, we can use the area formula for rectangles, which is area = length × width.

According to the question, the area of the rectangle is given by the quadratic expression x² + 8x + 15, and the width is given by x + 3. To find the length, we divide the area by the width:

length = ²/(x + 3)

² + 8x + 15 is factorable, and its factors are (x + 5)(x + 3), which simplifies to:

length = (x + 5)(x + 3)/(x + 3)

When the polynomial is factored, we can see that the (x + 3) terms cancel each other out:

length = x + 5

So, the expression representing the length of the rectangle is x + 5 meters. It is important to note that when dealing with units, one must ensure they are consistent. However, there is no need for conversion here since the area and width are already in terms of meters and square meters respectively.

A marker is almost 14 centimeters long. This length ends between

which two centimeter-marks on a ruler? Enter the smaller centimeter-

mark first.

centimeter-mark and the

The length ends between the

centimeter-mark.

Answers

Answer:

It ends between 13cm and 14cm mark.

Step-by-step explanation:

Since this marker in question is almost 14 centimeters long and definitely ends between two centimeter marks, the two centimeters that the length of this marker ends between on a ruler should be the 13cm and 14cm marks on the ruler.

Final answer:

The length of a marker almost 14 centimeters long ends between the 13 centimeter-mark and the 14 centimeter-mark on a ruler.

Explanation:

When measuring a marker that is almost 14 centimeters long, we look at the ruler and identify the two consecutive centimeter marks between which the length of the marker falls. If the marker is almost 14 centimeters long, this means it is greater than 13 centimeters but less than 14 centimeters.

Therefore, we can confidently say that the marker's length lies between the 13 centimeter-mark and the 14 centimeter-mark on the ruler. The smaller centimeter-mark would be 13, as it is the immediately preceding whole centimeter before the marker ends.


4. When the length of each leg is 2
units, the ratio of the hypotenuse to
the leg is:

Answers

Answer:1.4

Step-by-step explanation:

Answer:

It is 1:4

Step-by-step explanation:

I got it right on ed.

A manager at an amusement park wants to know how popular the park's biggest roller coaster is. She counts the number of people waiting in line every half hour. The results are shown below.

19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37



Plot the values that represent the minimum, maximum, first quartile, median, and third quartile of the number of people waiting in line.




Plz help i have alot of trouble finding the quartials

Answers

Final answer:

The minimum value is 19, maximum is 37, median is 28.5, first quartile is 23.5, and third quartile is 33.5. These measures are calculated by organizing the data in ascending order and finding the middle and approximated middle values of the data set and its halves.

Explanation:

First, let's arrange your data in ascending order: 19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37. There are 18 data points here.

The minimum value is 19 and the maximum value is 37.

To calculate the median (the middle number), since we have an even number of data points, we take the average of the 9th and 10th numbers. (28+29)/2 = 28.5.

Now, to find the first quartile (lower median), we look at the median of the lower half of the data (excluding the overall median if it's part of the data). The lower half of the data is: 19,20,21,22,23,24,26,27,28. So, we take the average of 23 and 24 which is 23.5.

For the third quartile (upper median), we look at the median of the upper half of the data. Here it is: 29,30,31,32,33,34,35,36,37. So, we take the average of 33 and 34 which is 33.5.

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Please help What are the coordinates of -2 , -3 of you move 6 units to the right

Answers

Answer:

(4,-3)

Step-by-step explanation:

Answer:

(4,-3)

Step-by-step explanation:

Moving 6 units to the right would only affect the x coordinate. Sinceinc we are moving to the right, there is a positive increase in the x coordinate.

-2+6=4

So our new point is (4,-3)

The function F(x) = logo.75^x is decreasing.
O
A. True
O
B. False

Answers

Answer:

true

Step-by-step explanation:

We assume you intend your function to be ...

 

A logarithm with a base less than 1 is a decreasing curve. Here, the base appears to be 0.5, a value less than 1. Hence the curve is decreasing.

Yes, The function F (x) = log (0.75)ˣ is a decreasing function.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ F (x) = log (0.75)ˣ

Now, We know that;

If derivative of logarithmic function is less than 1 then, it is decreasing.

Here,  The function is,

⇒ F (x) = log (0.75)ˣ

After differentiation,

⇒ F ' (x) = log 3 - log 4 < 1

Hence, The function F (x) = log (0.75)ˣ is a decreasing function.

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which expressions represents a quadratic expression in factored form

Answers

Answer:

( x + 3 )( x - 7 ) and ( x + 1 )( x - 2 )

Step-by-step explanation:

Both of these represent 2 terms x 2 terms, so that means they are both in factored form.

Example:

for the given function f(x)=2x+4,find f(12)

Answers

Answer:

f(12) = 28

Step-by-step explanation:

All you have to do is plug in 12 as x.

f(12) = 2(12) + 4

      = 24 +4

      = 28

And you're done! :)

Answer:

f(12)=28

Step-by-step explanation:

We want to find what y or f(x) is when x equals 12

To find f(12), substitute 12 in for x

f(x)=2x+4

f(12)=2(12)+4

Multiply

f(12)=24+4

Add

f(12)=28

The box plots show the average gas mileage, in miles per gallon, of cars and minivans tested by a certain company.
Cars
+
+
+
+
+
14
16
18
20
22
24
26
28
30
32
34
Minivans
Which correctly compares the interquartile ranges?
The interquartile range for cars is about 12 mpg, and the interquartile range for minivans is about 12 mpg.
The interquartile range for cars is about 7 mpg, and the interquartile range for minivans is about 3 mpg.
The interquartile range for cars is about 24 mpg, and the interquartile range for minivans is about 19 mpg.
The interquartile range for cars is about 8 mpg, and the interquartile range for minivans is about 7 mpg.

Answers

Answer:

b.The interquartile range for cars is about 7 mpg, and the interquartile range for minivans is about 3 mpg.

Step-by-step explanation:

i got it right

Answer:

The answer is B

Step-by-step explanation:

1.
Carmen tosses two coins and records the outcomes. Her results are recorded in the table
below. She intends to toss two coins an additional 250 times. Based on the data in the table,
how many times will both coins land on tails or both coins land on heads?
Toss phone : 1 2 3 4 .5 | 6 7 | 8 | 9 | 10
| First coin, IHI HITITITIHITEHIHTT.
Second coin | TTT HITTA HITH
eco
im​

Answers

The expected number of times that both coins will land on the same result in 250 throws is given as follows:

100 tosses.

How to obtain the expected number?

The expected number is obtained applying the proportions in the context of the problem.

In the 10 tosses, 4 resulted in the same result for both coins, hence the proportion of the same result is given as follows:

4/10 = 0.4.

Hence, out of 250 tosses, the expected amount is given as follows:

0.4 x 250 = 100 tosses.

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Which relationship describes angle 1 and 2

Answers

Answer:A

Step-by-step explanation:

A circular plot of land has a diameter of 14 yards. What is the area of the land? Use 3.14 for π.

Answers

Answer:

A =153.86 yd^2

Step-by-step explanation:

The area of a circle is given by

A = pir^2

We need to get the radius.  We are given the diameter

r = d/2 = 14/2 =7

A = pi (7)^2

A =49pi

Using 3.14 for pi

A = 49 (3.14)

A =153.86 yd^2

Someone please give me the answers...And thank you

Answers

Answer:

Step-by-step explanation:

1) 4x + 3 <= 3x - 5

Subtract 3 from both sides

4x + 3-3  <= 3x - 5 -3

4x  <= 3x - 8

Subtract 3x form both sides

4x - 3x <= 3x -3x - 8

x <= -8

Answer:

CHALLENGE ACCEPTED!!

Step-by-step explanation:

4x + 3 ≤ 3x - 5

4x - 3x ≤ -5 -3

x ≤ -8

sorry, cant draw the number line but hope the solution helps.

-2x > 6

-2x ÷ -2 > 6 ÷- 2

x > -3

1/8(3x - 16) < 4

3/8x - 2 < 4

3/8x < 4 + 2

3/8x < 6

x = 16

x - 3/2 ≥ -5

x - 3 ≥ -5 × 2

x - 3 ≥ -10

x ≥ -10 + 3

x ≥ 7

This equation shows how the total number of novels Brad has in his collection is related to the amount of money he spends on additional novels.

n = d

The variable d represents the amount of money he spends on additional novels, and the variable n represents the total number of novels in his collection. How much money does Brad need to spend on new novels in order to have a total of 69 novels in his collection?

Answers

R u sure there Is no more to the question? I feel like there is a missing number somewhere :)

A can contains 40 chips: 10 each of read and blue, 12 pink, and the remaining black.If Susan were to remove 3 black and 2 red chips, what is the probability that next one she removes is black? Please Help!

Answers

Answer:

1:7

Step-by-step explanation:

R = RED | B = BLUE | P = PINK | BL = BLACK | c = chips

10R + 10B + 12P = 32 chips

40c - 32c = 8 black chips

8BL - 3BL = 5 black chips

10R - 2R = 8 red chips

2R + 3BL = 5 chips

40c - 5c = 35 chips

5BL : 35c = 1:7

The probability that next one Susan removes is black chips is 1/7.

What is probability?

The probability is defined as the possibility of an event is equal to the ratio of the number of outcomes and the total number of outcomes.

Total no. of chips = 40

No. of red chips = 10

No. of blue chips = 10

No. of pink chips = 12

No. of black chips = 8

If Susan were to remove 3 black and 2 red chips

So, No. of available black chips = 8 -3 = 5

No. of available red chips = 10 - 2 = 8

Total removed chips = 5

Total no. available of chips = 35

The probability that next one Susan removes is black chips = 5/35 = 1/7

Hence, the probability that next one Susan removes is black chips is 1/7.

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please help in the question it should be if t=-6 when r =-2 its an error

Answers

Answer:

r = - [tex]\frac{12}{7}[/tex]

Step-by-step explanation:

Given that r varies inversely as t , then the equation relating them is

r = [tex]\frac{k}{t}[/tex] ← k is the constant of variation

To find k use the condition t = - 6 when r = - 2, then

- 2 = [tex]\frac{k}{-6}[/tex] ( multiply both sides by - 6 )

12 = k, thus

r = [tex]\frac{12}{t}[/tex] ← equation of variation

when t = - 7, then

r = [tex]\frac{12}{-7}[/tex] = - [tex]\frac{12}{7}[/tex]

Graph m > −5 on a number line.

Answers

Final answer:

Graphing an inequality involves drawing a number line, marking the critical value, here -5, with an open circle because it's not included in the solution, and indicate with an arrow every number greater than -5, as these are the solutions to the inequality.

Explanation:

To graph m > -5 on a number line, you first need to draw a straight line, representing the number line. Mark -5 on the line. Since the inequality is 'greater than' (-5), you will have an open circle at -5. The open circle indicates that -5 is not included in the solution. The solutions for the inequality are all values to the right of -5, so you would draw an arrow pointing towards the right from the open circle. This demonstrates that all numbers greater than -5 are the solution to the inequality.

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Use the distributive property to fill in the blanks below.


(5 x 8) + (5 x 7) = 5 x (blank+blank)


Fill in the blanks please and respond quickly.

will give extra points for correct and fastest responder

Answers

8 + 7

When you distribute, you multiply the number on the outside by each of the numbers on the inside individually.

For example, 6*(2+3) = (6*2) + (6*3)

You can check this- 6*5=30, 6*2=12, and 6*3=18. 12+18=30.

Hope that helps!

ERGENT I NEED HELP ON ATH PROBLEM

Answers

Answer:

Kite, Parallelogram, and Rectangle.

Step-by-step explanation:

BTW, you spelled Urgent wrong.

The answers are, Kite, Parallelogram, and Rectangle.

Answer:

Kite, Parallelogram, and Rectangle.

Step-by-step explanation:

BTW, you spelled Urgent wrong.

The answers are, Kite, Parallelogram, and Rectangl

You roll a die and pick a marble how many outcomes are possible

Answers

Answer: 12 because for each number on the die, you get 2 options: one marble or the other. So if it’s a six sided die, you have 12 possible outcomes. (2 times 6)

You roll a die and pick a marble,  12 outcomes are possible.

What is the probability?

The possibility of an event in time is known as probability in mathematics. How frequently does the incidence occur over the course of a specific time period, in plain English?

Given:

You roll a die and pick a marble.

When you roll a die,

you'll get either one marble or another.

So, there are 2 possibilities.

When you roll a die, there 6 possible outcomes.

And the total number of possible outcomes,

= 2 times 6

= 2x 6

= 12

Therefore, 12 outcomes are possible.

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Help!!! 30 points and brainliest

[tex]2x^{2} +6x - 5 = 0[/tex]

Answers

Answer:

Should be in the pic below

Step-by-step explanation:

Answer:

x = [tex]\frac{-3+\sqrt{19} }{2}[/tex] or x = [tex]\frac{-3-\sqrt{19} }{2}[/tex]

Step-by-step explanation:

We want to factor this. In order to factor it, we need to use the quadratic formula:

[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]x=\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

Here, a = 2, b = 6, and c = -5, so plug these in:

[tex]x=\frac{-6+\sqrt{6^2-4*2*(-5)} }{2*2}=\frac{-6+\sqrt{76} }{4} =\frac{-6+2\sqrt{19} }{4} =\frac{-3+\sqrt{19} }{2}[/tex]

AND

[tex]x=\frac{-6-\sqrt{6^2-4*2*(-5)} }{2*2}=\frac{-6-\sqrt{76} }{4} =\frac{-6-2\sqrt{19} }{4} =\frac{-3-\sqrt{19} }{2}[/tex]

Thus, the answers are x = [tex]\frac{-3+\sqrt{19} }{2}[/tex] or x = [tex]\frac{-3-\sqrt{19} }{2}[/tex].

Hope this helps!

On Saturday, Bob's bakery sold 80 cupcakes for $5 each. His profit margin on the cupcakes was 50%. Which calculation yields the amount of profit he made on the cupcakes? A) 50 × 5, then 250 ÷ 2 B) 80 × 5, then 400 ÷ 2 C) 80 × 5, then 400 ÷ 50 D) 80 × 50, then 4,000 ÷ 5

Answers

Answer:

B) 80 × 5, then 400 ÷ 2

brainliest?

I understood the last one but now I have one that makes me solve for a short side

Answers

n^2 + 10^2 = 26^2

n^2 + 100 = 676

n^2 = 576

n = 24

Which equation is true?
9x2 – 25 = (3x - 5)(3x – 5)
9x2 – 25 = (3x – 5)(3x + 5)
9x2 – 25 = -(3x + 5)(3x + 5)
9x2 - 25 = -(3x + 5)(3x - 5)

Answers

Answer:

9x2 – 25 = (3x – 5)(3x + 5)

Step-by-step explanation:

(3x – 5)(3x + 5)

= 9x² + 15x - 15x - 25

= 9x² - 25

Final answer:

The correct equation is 9x² – 25 = (3x – 5)(3x + 5), as it is the factored form of the difference of squares, where 9x² is the square of 3x and 25 is the square of 5.

Explanation:

The equation we are considering is 9x² – 25. We need to determine which of the provided options is a true equality. The equation 9x² – 25 is a difference of squares, which factors as (a² – b²) = (a – b)(a + b). In this case, a is 3x and b is 5 because (3x)² = 9x² and 5² = 25.

Thus, the factored form of the equation 9x² – 25 is (3x – 5)(3x + 5). So, the correct equation from the given options is 9x² – 25 = (3x – 5)(3x + 5).

Name this angle using the following picture

Answers

Answer:

x = 42°

Step-by-step explanation:

[tex] \angle JML \:and\:\angle LMN [/tex] Linear pair angles or straight line angles.

[tex] \therefore \: \angle JML + \angle LMN = 180 \degree \\ \therefore \: 3x + 54 \degree = 180 \degree \\ \therefore \: 3x = 180 \degree - 54 \degree \\ \therefore \: 3x = 126 \degree \\ \therefore \: x = \frac{126 \degree}{3} \\ \therefore \: x = 42\degree \\ [/tex]

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In the phrase "hay a lot of museos pequeos," pequeos means:bigsmallnewold Mutations in _________ genes lead to transformations in the identity of entire body parts? A solution containing 1.0 M NiCl2 and 1.0 M SnBr2 undergoes electrolysis by passing a current between two platinum electrodes. What are the most likely first products to be formed? Cl2 (aq) + 2e- 2Cl- (aq) = 1.36 V Br2 (aq) + 2e- 2Br- (aq) =1.08 V Sn2+ (aq) + 2e- Sn(s) = -0.14 V Ni2+ (aq) + 2e- Ni(s) = -0.24 V need help on this math problem can someone help ax +by=cz proving the converse of the parallelogram side theorem Determine the most likely reason why natural selection may cause prezygotic reproductive isolating mechanisms to evolve if postzygotic reproductive isolating mechanisms are already present, but natural selection can never cause the evolution of postzygotic reproductive isolating mechanisms. Ca Natural selection may lead to the evolution of prezygotic reproductive isolation in organisms that already have postzygotic isolation to prevent wasted reproductive effort. O Prezygotic isolation can evolve if postzygotic isolation has generated genetic variation during earlier periods of anagenesis. O If postzygotic isolation is present, then natural selection is already acting evolution of prezygotic isolation. Prezygotic reproductive isolating mechanisms are the necessary physiological and behavioral precursors for the evolution of postzygotic isolation via natural selection. same A consumer organization estimates that over a 1-year period 17% of cars will need to be repaired once, 10% will need repairs twice, and 2% will require three or more repairs. If you own two cars, what is the probability that a) neither will need repair? b) both will need repair? c) at least one car will need repair? Turbulent flow in humans is a major risk factor for atherosclerosis, the buildup of plaque on arterial endothelium. Ignoring any potential effects of turbulence, what effect would atherosclerosis have on blood flow?A) Narrowing of the artery causes the velocity to increase and the hydrostatic pressure to decrease.B) Narrowing of the artery causes the velocity to increase and the osmotic pressure to decrease.C) Narrowing of the artery causes the velocity to decrease and the hydrostatic pressure to decrease.D) Expansion of the artery causes the velocity to decrease and the hydrostatic pressure to increase. In the Arrow/Midas Cichlid sympatric speciation hypothesis, the investigators had to investigate not only the biology and genetics of the species in question, but had to understand the geological history of the larger geological basin in which they occurred, AND the phylogeny of the populations. This is because ____________.A) They had to eliminate allopatric speciation and subsequent dispersal as a hypothesis.B) Certain phylogenetic patterns could corroborate or reject the hypothesis of sympatric speciation.C) Both answers are correct. Suppose you wanted to change the states constitution to require public financing for all campaigns. If you were relying on professional signature gatherers (who charge at least $1.50 per signature), what is the minimum amount of money you could reasonably expect to spend in order to qualify this amendment for the ballot? Use the Washington Post article Why We've Been Hugely Underestimating the Overfishing of the Oceans to answer the question. Which statement would best explain Daniel Pauly's prediction in the last paragraph of the article regarding the change in catch size in the future? Demand for fish is decreasing, so lower prices are driving suppliers from the market. Fish are a public good and best provided by the government instead of a market. The supply of fish is increasing at a decreasing rate, which is leading to more sustainable fishing practices. Fish are a common resource and susceptible to the phenomenon known as tragedy of the commons. Shanti wrote the predicted values for a data set using the line of best fit y = 2.55x 3.15. She computed two of the residual values. What are the values of a and b?a = 0.4 and b = 0.15a = 0.4 and b = 0.15a = 8.6 and b = 14.25a = 8.6 and b = 14.25 Wildhorse Corporation has collected the following information after its first year of sales. Sales were $1,250,000 on 125,000 units, selling expenses $250,000 (40% variable and 60% fixed), direct materials $496,000, direct labor $34,900, administrative expenses $280,000 (20% variable and 80% fixed), and manufacturing overhead $358,000 (70% variable and 30% fixed). Top management has asked you to do a CVP analysis so that it can make plans for the coming year. It has projected that unit sales will increase by 10% next year. Collapse question part (a) Compute (1) the contribution margin for the current year and the projected year, and (2) the fixed costs for the current year. (Assume that fixed costs will remain the same in the projected year.) (1) Contribution margin for current year $ Contribution margin for projected year $ (2) Fixed Costs In the 1980s, the U.S. government forced Japanese automakers to limit their exports to the United States. The union representing the autoworkers (UAW), argued that otherwise the U.S. auto industry would have contracted. The UAW's argument is the ________ argument for protection.A) save domestic jobs B) national security C) anti-dumping D) infant-industry E) bringing diversity and stability Manganese Company makes frames. A customer wants to place a special order for 750 frames in green with the company logo painted on the frame, to be priced at $60 each. Normally, Manganese would charge $100 per frame for this type of order. Manganese figures that wood and glass will cost $15 per frame, variable overhead (machining, electricity) is $5 per frame, direct labor is $11.5 per frame, and one setup will be required at $1,500 per setup. The set-up charge costs are 100% labor. Currently, the workers needed to set up for and make the frames are working at Manganese. Their wages will be paid whether or not the special order is accepted. Manganeses policy is to avoid layoffs to the extent possible. If Manganese accepts the special order, by how much will operating income increase or decrease? As she was riding her bicycle down a hill, Wendy hit a large rock and started to lose her balance. She managed to come to a stop without falling. Once she was stopped, she noticed her heart was racing and she was shaking. After that, she realized she was frightened. Which theory of emotion best explains this sequence of events? A. Schacter-Singer theory B. Cannon-Bard theory C. James-Lange theory D. Two-factor theory Two organism of different species are not likely to compete for the same1. Food2. Mate3. Space4.Water Marston Manufacturing Company is considering a project that requires an investment in new equipment of $3,600,000, with an additional $180,000 in shipping and installation costs. Marston estimates that its accounts receivable and inventories need to increase by $720,000 to support the new project, some of which is financed by a $288,000 increase in spontaneous liabilities (accounts payable and accruals).The total cost of Martson's new equipment is ___________ What are the factors of x2 + 3x - 4?(x + 4) and (x - 4)(x + 3) and (x-4)(x + 4) and (x - 1)(x + 3) and (x - 1) Consider the dissociation of strong versus weak acids: HCl(aq)+H2O(l)H3O+(aq)+Cl(aq)HF(aq)+H2O(l)H3O+(aq)+F(aq) The first reaction is not reversible, but the second one is. So, only the conjugate of the weak acid, F, can react with H3O+. Now consider the solubility of insoluble salts: AgCl(s)Ag+(aq)+Cl(aq)AgF(s)Ag+(aq)+F(aq) The addition of acid has no effect on silver chloride. But for the second reaction, H3O+ will react with F, decreasing its concentration and driving the equilibrium to the right. Thus, salts that contain the conjugate of a weak acid become more soluble as the acidity of the solution increases.