Tricia saved money, but the amount she saved didn't meet both her emergency needs and savings for her goal. Which of these would be best for tricia to do next

Answers

Answer 1

Answer:  

Look at her flexible expenses and prioritize

Step-by-step explanation:

Take the flexible-expense section of your budget and list the categories in the order of their importance to you.

Answer 2

The best option for Tricia would be look at her flexible expenses and prioritize. The correct option is d.

What is budgeting?

Budgeting is the process of developing a financial plan. It entails assessing your income and expenses and deciding how to allocate your resources.

Examine her variable expenses and prioritize. Tricia needs to re-evaluate her budget and see where she can cut costs to save more money for her emergency needs and long-term savings goals.

By examining and prioritizing her flexible expenses, she can identify areas where she can cut back on spending and redirect those funds to her savings goals.

Tricia must avoid incurring additional debt by using a credit card and must continue to cover her basic needs, such as food, by budgeting appropriately.

Thus, the correct option is d.

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Your question seems incomplete, the probable complete question is:

Tricia saved money, but the amount she saved didn't meet both her emergency needs and savings for her goal. Which of these would be BEST for Tricia to do next?

a.) Delete her food budget

b.) Incur more debt and use a credit card

c.) Spend more money on flexible expenses

d.) Look at her flexible expenses and prioritize


Related Questions

Jackie practices her piano for 1/2 an hour on Monday Wednesday and Friday she practices for 2/3 of an hour on Tuesday Thursday Saturday she practices for 1 hour on Sunday how many hours does Jackie practice her piano each week

Answers

Answer:

4 and a half hours

Step-by-step explanation:

half an hour ((60 x 1) / 2) for 3 of the days (30 x 3) is 90 so 1 and a half hours. then, 2/3's of an hour ((60 x 2) / 3) for 3 days (40 x 3) is 120 so 2 hours. then, adding the last hour 1.5 + 2 + 1 is 4.5 or 4 and a half hours.

Miranda worked Monday at her part time job and earned $71.75 for 7 hours. How much would Miranda earn after working 15 hours?

Answers

Answer:

$153.75

Step-by-step explanation:

$71.75 / 7=$10.25

$10.25 x 15 =$153.75

what is 5/5/8 divided by 1/2/9 in simplest form

Answers

Final answer:

The division of 5/5/8 by 1/2/9 in simplest form is 405/88 after converting the mixed numbers to improper fractions, then multiplying by the reciprocal, and simplifying.

Explanation:

To find the simplest form of the division of two mixed numbers, first, both mixed numbers must be converted to improper fractions. Dividing by a fraction is the same as multiplying by its reciprocal. So, when dividing 5/5/8 by 1/2/9, we first turn these into improper fractions.

5/5/8 becomes 45/8 (since 5*8+5=45) and 1/2/9 becomes 11/9 (since 1*9+2=11). Now the problem is 45/8 divided by 11/9. To divide these fractions, we multiply by the reciprocal: 45/8 * 9/11 = (45*9)/(8*11) = 405/88.

To simplify 405/88, we find the Greatest Common Divisor (GCD) of the numerator and the denominator, which is 1 in this case, so the fraction is already in its simplest form, which is 405/88.

To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/2/9 is 9/2/1. So, the expression becomes 5/5/8 multiplied by 9/2/1. To multiply fractions, we multiply the numerators together and the denominators together. So, (5 x 9) / (5 x 2) x 8 / 1 = 45/10 x 8/1 = 360/10 = 36.

Solve using touch points: 620+207=

Answers

Answer:827

Step-by-step explanation:

Add 620 plus 207

Answer:827


add 620 and 207

Rewrite 3/4x+2=9/10 so that it doesn’t have fractions

Answers

The equation with no fractions is:

30x + 80 = 36

Solution:

Given that the equation is:

[tex]\frac{3}{4}x+2=\frac{9}{10}[/tex]

We have to rewrite the equation such that there is no fraction

From given expression,

[tex]\frac{3}{4}x+2=\frac{9}{10}[/tex]

Simplify the left hand side of equation

[tex]\frac{3x+8}{4} = \frac{9}{10}[/tex]

Cross multiply to get a simpler equation

[tex]10(3x+8) = 9 \times 4\\\\Simplify\ the\ above\ expression\\\\30x + 80 = 36[/tex]

Thus the equation is rewritten with no fractions

Final answer:

To rewrite the equation 3/4x + 2 = 9/10 without fractions, we multiply every term by the lowest common denominator (20) to get 15x + 40 = 18. Then, we isolate x by subtracting 40 from both sides to get 15x = -22. We solve for x by dividing both sides by 15, resulting in x = -22/15.

Explanation:

The aim is to rewrite the equation 3/4x + 2 = 9/10 without fractions. To get rid of the fractions, we'll multiply each term by the lowest common denominator (LCD). In this case, the LCD is 20 because it's the smallest number both 4 and 10 can both go into. The equation thus becomes: 20*(3/4x) + 20*2 = 20*(9/10)

This simplifies to: 15x + 40 = 18

Now, to isolate x, we start by subtracting 40 from both sides:

15x + 40 - 40 = 18 - 40

So, 15x = -22. Finally, to solve for x, we divide by 15:

x = -22/15

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If f(x) = -x2 + 6x, what is f(-3)?

Answers

Answer:

-12

Step-by-step explanation:

f(-3)= -(-3)2 + 6(-3)

= -(-6) -18

= 6 - 18

= - 12

The value of the quadratic function f(x) = -x² + 6x at x = -3 will be negative 27.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

f(x) = -x² + 6x

The degree of the function is 2. So, the function is a quadratic function.

The value of the function at x = -3 will be calculated as,

f(-3) = -(-3)² + 6(-3)

Simplify the equation, then we have

f(-3) = -(-3)² + 6(-3)

f(-3) = - 9 - 18

f(-3) = - 27

The worth of the quadratic capability f(x) = - x² + 6x at x = - 3 will be negative 27.

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Paul runs 4.8 km every morning. How many feet are in 4.8 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet?

1,769.90 feet
8,495.52 feet
12,437.42 feet
15,751.40 feet
plz help brainlist

Answers

Answer:

Step-by-step explanation:

1.609 km=1 mile

1 km=1/1.609 mile

[tex]4.8 km=\frac{4.8}{1.609} ~miles=\frac{4.8*5280}{1.609} \approx~15,751.40~ft[/tex]

Answer:

the answer is D 15,751.40

1 Kilometer is equal to 3,280.839895 feet which is approximately 3,281 feet.

multiply 3,281 feet by 4.8 = 15,748.8 which can be rounded to make 15,751.40.

In total making the correct answer choice D.

Julie is 6 feet tall. If she stands 15 feet from the flagpole and holds a cardboard square, the edges of the square line up with the top and bottom of the flagpole. Approximate the height of the flagpole

Answers

Answer:

43.5 ft

Step-by-step explanation:

Given: Julie is 6 feet tall

           She stands 15 feet from the flagpole.

           The edges of the square line up with the top and bottom of the flagpole.

Picture drawn to show side and angle formed by Julie and flagpole.

Lets assume the height of flagpole be "h".

As given, the edges of the square line up with the top and bottom of the flagpole.

∴ Angle and base of triangle are same then ratio of corresponding sides are also equal.

Now, finding the height of flagpole by using tangent rule.

we know, [tex]tan\theta= \frac{Opposite}{adjacent}[/tex]

Remember, both the angle are equal.

∴ Ratio of opposite and adjacent leg for both right angle triangle= [tex]\frac{6}{15} : \frac{h-6}{15}[/tex]

We can put it; [tex]\frac{6}{15} = \frac{15}{h-6}[/tex]

Solving the equation now

⇒ [tex]\frac{6}{15} = \frac{15}{h-6}[/tex]

Multiplying both side by 15

⇒[tex]6 = \frac{15\times 15}{h-6}[/tex]

Multiplying both side by (h-6)

⇒ [tex]6\times (h-6) = 15\times 15[/tex]

Distributive property of multiplication

⇒ [tex]6h-36= 225[/tex]

Adding both side by 36

⇒[tex]6h= 225+36[/tex]

Dividing both side by 6

⇒[tex]h= \frac{261}{6}[/tex]

∴ [tex]h= 43.5\ feet[/tex]

Hence, the height of flagpole is 43.5 feet.

The height of the flagpole is given by the length of the hypotenuse side

formed by the right triangle Julie forms with the cardboard.

Response:

Height of the flagpole is 17.4 feet

Which method is used to calculate the height of the flagpole?

The triangle formed by the edges of square lined up with the top and

bottom of the flagpole is a right triangle.

The altitude of the right triangle formed with the height of the flagpole as the base = 15 feet

Length of a leg of the right triangle = √(15² + 6²) = 3·√(29)

The other angle formed by the right triangle = (90° - arctan(15/6))

h × sin(arctan(15/6)) = 3·√29

[tex]h = \mathbf{\dfrac{3 \cdot \sqrt{29} }{sin(arctan(15/6))} } = 17.4[/tex]

Height of the flagpole, h = 17.4 feet

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The speed of a boat in still water is 50km/h. It takes the same time for the boat to
travel 10km upstream as it does to travel 20km downstream. Find the speed of the
current.​

Answers

The speed of a boat in still water (b) is 50km/h. It takes the same time (t) for the boat to travel 10km (x) upstream as it does to travel 20km (y) downstream. Find the speed of the current.​

upstream speed (u) = speed in still water (b) - stream speed (s) = b-s = 50-s

downstream speed (d) = speed in still water (b) + stream speed (s) = 50+s

time (t) = x/u = y/d

10/(50-s) = 20/(50+s)

10(50+s) = 20(50-s)

500 + 10s = 1000 - 20s

30s = 500

stream speed (s) = 500/30 = 16.6 km/h

Q(9,10) . R(-5,2) . S(-8,-2) . T (-1,2) . Parallel or Perpendicular

Answers

Answer:

Perpendicular

Step-by-step explanation:

Put all the points on a graph.

Parallel means that the lines that have the same slope and different y-intercepts. Lines that are parallel to each other will never intersect.

On the graph we made we can see that the lines will have to intersect because the points are in positions that no matter which points we chose to connect together, they would intersect with the other line.

what is 2x cubed plus 2x squared simplified too

Answers

Answer:

4x^4

Step-by-step explanation:

Cubed and squared are the same thing

BRAINLESS PLS

The perimeter of this hexagon is 52in. Each longer side measure 1 in. less than 4 times the length of a shorter side. Find the length of the labeled x.

Answers

Answer:

x=4.5 inches

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The perimeter of a hexagon is the sum of its six length sides

Let

x ----> the length of a shorter side

y ---> the length of a longer side

The perimeter of the hexagon is equal to

[tex]P=4x+2y[/tex]

[tex]P=52\ in[/tex]

so

[tex]52=4x+2y[/tex] ---->equation A

Each longer side measure 1 in. less than 4 times the length of a shorter side

so

[tex]y=4x-1[/tex] ----> equation B

substitute equation B in equation A

[tex]52=4x+2(4x-1)[/tex]

Solve for x

[tex]4x+8x=52+2\\12x=54\\x=4.5\ in[/tex]

2.4 X 10 -1 in standard form

Answers

Answer:

Step-by-step explanation:

0.24

5(6x - 1) - 10x + 5 = 4(x + 10) - 4x

Answers

Answer:

x=2

Step-by-step explanation:

5(6x-1)-10x+5=4(x+10)-4x

simplify both sides

30x-5-10x+5=4x+40-4x

Simplify even further

20x=40

x=2

(SAT Prep) Find the value of x in each of the following exercises:
JIMGRANT1 CAN YOU PLEASE DO MY OTHER QUESTION AND THIS ONE.

Answers

Answer:

X=40 degrees

Step-by-step explanation:

Having trouble with RSM?

The value of angle x will be equal to 40 degrees.

What are corresponding angles?

According to the equivalent angle postulate, if a transversal meets two parallel lines, the corresponding angles must be congruent.

In other words, the corresponding angles will always be identical if a transversal intersects two parallel lines. In geometry, corresponding sides and corresponding angles of polygons are compared as part of the tests for congruence and resemblance.

In the diagram attached with the answer below apply the corresponding angle theorem to calculate the value of x.

The value of angle x by using corresponding angle theorem will be calculated as below:-

x = 180 - 65 - 75

x = 180 - 140

x = 40

Therefore, the value of angle x will be equal to 40 degrees.

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How many thousands are in 38,000

Answers

Answer: 38

Step-by-step explanation:

Divide 38000/1000

Answer:

Step-by-step explanation: How many 10,000 are in 200,000

An experiment consists of flipping a single coin followed by rolling a six-sided cube (a die).
What is the probability of getting a head followed by a 6?
[tex]\frac{?}{?}[/tex]

Answers

Answer:[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Okay, first, you want to find the probability of getting a head, which would be 1/2 because there are two options and we are only looking for one out of the two. Then, the probability of getting a 6 would be 1/6 because there is only one chance of getting a 6 and there are 6 options. Next, you would have to multiply both quantities to find out what the probability would be of getting both. So it would be [tex]\frac{1}{2}[/tex] ×[tex]\frac{1}{6}[/tex]=[tex]\frac{1}{12}[/tex]

Probability of getting a head followed by a 6 is 1/12

Step-by-step explanation:

There are 2 possible outcomes of tossing a coin a head and a tail.

The probability is 1 out of 2 each for head and tail.

Probability of getting a 6 when a dice is rolled is 1 out of 6 for each face i.e 1,2,3,4,5,6

So the probability of getting a head followed by 6 is 1/2*1/6 = 1/12

It can also be understood as below.

There can be 12 possible combinations once a coin is tossed and a die is rolled. Head-1, Head-2. Head-3, Head-4, Head-5, Head-6, Tail-1, Tail-2, Tail-3, Tail-4, Tail-5, Tail-6

In the list there is 1 outcome that we need. Head-6. This again gives us the chance of getting Head-6 as 1 out of 12.

Kira, Bill, and Michael served a total of 134 orders Monday at the school cafeteria. Michael served 3 times as many orders as Kira. Bill served 9 more orders that Kira. How many orders did they each serve?

Answers

Answer:

Kira served 25 orders, Bill served 34 orders and Michael served 75 orders.

Step-by-step explanation:

Let Kira served x number of orders.

So, Bill served (x + 9) orders and Michael served 3x orders.

Now, it is given that Kira, Bill, and Michael served a total of 134 orders.

So, x + (x + 9) + 3x = 134

⇒ 5x + 9 = 134

⇒ 5x = 125

x = 25

Therefore, Kira served 25 orders, Bill served (25 + 9) = 34 orders and Michael served 3 × 25 = 75 orders. (Answer)

Choose the number equal to: 2/3 divided by (-3)

A) -2
B) - 2/9
C) 2/9
D) 2

Answers

Answer:

-0.22222222222

Step-by-step explanation:

Which is (B)

If you had 12 pieces of licorice to share equally among 5 people, how much licorice would each person get? Be sure to show your thinking clearly.

Answers

Answer:

Each person will be getting [tex]2\frac{2}{5}[/tex] pieces  of licorice

Step-by-step explanation:

If we have 12 pieces of licorice

To divide it equally among 5 people following formula will be used

Pieces to be given to each person = [tex]\frac{total\, pieces}{total\,people}[/tex]

                                                           = [tex]=\frac{12}{5} \\2.4\\[/tex]

So

Each person will be getting [tex]2\frac{2}{5}[/tex] pieces  of licorice

Keywords: Algebra

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I really need help with this math problem

Answers

Common difference = [tex]\frac{1}{5}[/tex]

Solution:

Given arithmetic sequence:

[tex]$-2,-1\frac{4}{5} ,-1\frac{3}{5} , -1\frac{2}{5} , ....[/tex]

Let us first convert the improper fraction into mixed fraction.

[tex]$-2,-\frac{9}{5} ,-\frac{8}{5} , -\frac{7}{5} , ....[/tex]

Difference between two numbers in an arithmetic sequence is the common difference.

[tex]$a_2-a_1=-\frac{9}{5}-(-2)=-\frac{9}{5}+2=\frac{1}{5}[/tex]

[tex]$a_3-a_2=-\frac{8}{5}-\left(-\frac{9}{5}\right)=-\frac{8}{5}+\frac{9}{5}=\frac{1}{5}[/tex]

[tex]$a_4-a_3=-\frac{7}{5}-\left(-\frac{8}{5}\right)=-\frac{7}{5}+\frac{8}{5}=\frac{1}{5}[/tex]

Common difference = [tex]\frac{1}{5}[/tex].

Hence the common difference of the arithmetic sequence is [tex]\frac{1}{5}[/tex].

[tex]\frac{1}{5}[/tex]

Common difference of the given arithmetic sequence is equal to [tex]\frac{1}{5}[/tex]

Explanation:

The given arithmetic sequence is in mixed numbers. Converting them into proper fractions, we get:

[tex]First\ term = t_1 = -2\\\\Second\ term = t_2 = -1\frac{4}{5} = -\frac{(5\times1)+4}{5} = -\frac{9}{5}\\\\Third\ term = t_3 = -1\frac{3}{5} = -\frac{(5\times1)+3}{5} = -\frac{8}{5}\\\\Fourth\ term=t_4 = -1\frac{2}{5} = -\frac{(5\times1)+2}{5} = -\frac{7}{5}[/tex]

The sequence can thus be rewritten as [tex]-2, -\frac{9}{5}, -\frac{8}{5}, -\frac{7}{5}[/tex]

To find the common difference of the given arithmetic sequence, subtract any two consecutive numbers of the sequence. The difference between two consecutive numbers is always a constant and is termed as the common difference.

Hence,

[tex]d_1= t_2-t_1=(-\frac{9}{5} -(-2)= \frac{-9+10}{5}= \frac{1}{5} \\\\d_2=t_3-t_2= (-\frac{8}{5} -(-\frac{9}{5} )= \frac{-8+9}{5} = \frac{1}{5}\\\\d_3=t_4-t_3= (-\frac{7}{5} -(-\frac{8}{5} )= \frac{-7+8}{5} = \frac{1}{5}[/tex]

[tex]d_1=d_2=d_3 = d[/tex]

Common difference [tex]d=\frac{1}{5}[/tex]

How many ice creams can be made with Three ice cream flavors three syrup flavors at three types

Answers

answer: you can get 27 different combinations

A businessman bought a fairly used radio set for 950 dollars and spent 250 dollars for repairing it before selling it for 1500 dollars. what is the percentage profit?​

Answers

I believe it's a 25% profit.

950+250= 1200

1500-1200= 300

300/1200= 0.25

0.25 x 100= 25%

Answer:

I want to say 20% I could be wrong

Step-by-step explanation:

$950 + $250 = 1,200

1,200 ÷ 1500 = 0.8

0.800 > 80.0

80%

100% - 80% = 20%

Net Profit Margin = 20%

Net Profit =$300

Profit Percentage = 25%

Samir, a carpenter Spent $300 on specialty tools to make toy horses for children for each horse he makes he spent $75 on supplies he charges $125 for each horse how many horses does Samir sell in order to break even ?

Answers

Assuming he spent $300 on specialty tools to make toy horses for children the number of   horses that  Samir sell in order to break even is 6 horses.

First step is to calculate his profit

Profit=$125-$75

Profit=$50

Now let determine how many horses does Samir sell in order to break even

Number of horse=$300/50

Number of horses=6 horses

Inconclusion the number of  horses that  Samir sell in order to break even is 6 horses.

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Answer:6

Step-by-step explanation:

Want three fractions are the same2/4 4/6 5/8 3/6 2/3 6/9

Answers

Answer:

2/4 .   4/6 .   2/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/4=1/4

4/6=2/3

5/8

3/6

6/9=3/6

If a=2b^3 and b= -1/2c ^-2,express a in terms of c.

Answers

Answer:

Part 1) [tex]a=-\frac{1}{4c^6}[/tex]

Part 2) [tex]a=-\frac{1}{4c^{-6}}[/tex]

Step-by-step explanation:

Part 1) we have

[tex]a=2b^{3}[/tex] ----> equation A

[tex]b=-\frac{1}{2}c^{-2}[/tex] ----> equation B

substitute equation B in equation A

[tex]a=2(-\frac{1}{2}c^{-2})^{3}[/tex]

Applying property of exponents

[tex](x^{m})^{n}=x^{m*n}[/tex]

[tex]x^{-m} =\frac{1}{x^{m}}[/tex]

[tex]a=2(-\frac{1}{2}c^{-2})^{3}=2(-\frac{1}{2})^3(c^{-2})^{3}=2(-\frac{1}{8})(c^{-6})=-\frac{1}{4c^6}[/tex]

therefore

[tex]a=-\frac{1}{4c^6}[/tex]

Part 2) we have

[tex]a=2b^{3}[/tex] ----> equation A

[tex]b=-\frac{1}{2c^{-2}}=-\frac{c^{2}}{2}[/tex] ----> equation B

substitute equation B in equation A

[tex]a=2(-\frac{c^{2}}{2})^{3}[/tex]

Applying property of exponents

[tex](x^{m})^{n}=x^{m*n}[/tex]

[tex]x^{-m} =\frac{1}{x^{m}}[/tex]

[tex]a=2(-\frac{c^{2}}{2})^{3}=2(-\frac{c^{6}}{8})[/tex]

simplify

[tex]a=-\frac{c^{6}}{4}[/tex]

therefore

[tex]a=-\frac{1}{4c^{-6}}[/tex]

Which of the following points is NOT a solution to the inequality: y ≥ 2x − 10?

(5,0)

(-1,1)

(4,2)

(6, -2)

Answers

the answer to this is (6,-2)

Plz help me with this the last person who did this for me got it wrong for me so i beg of u someone plz help me out with this i beg due today

Answers

a. The perimeter of the figure is 4x+34.

b. The total area of figure is 24x+40.

Step-by-step explanation:

Given,

Length of figure = 12

Width of figure = x+5+x = 2x+5

a. Perimeter = Length + Length + Width + Width

Perimeter = [tex](12)+(12)+(2x+5)+(2x+5)[/tex]

Perimeter = [tex]12+12+2x+5+2x+5 = 4x+34[/tex]

The perimeter of the figure is 4x+34.

b. Total area = Length * Width

Total area = [tex]12(2x+5) = 24x+60[/tex]

The total area of figure is 24x+40.

Keywords: area, perimeter

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What are the solutions to the equation 3(x - 4)(x + 5) = 0?
O
O
O
x= 4 or x = 5
x= 3, x = 4, or x = -5
x= 3, x= -4, or x = 5
x = 4 or x = -5

Answers

Answer:

Step-by-step explanation:

3(x - 4)(x + 5) = 0

Dividing through by 3

(x - 4)(x + 5) = 0

(x - 4) = 0 or x + 5 = 0

x - 4 = 0 or x + 5 = 0

x = 4 or x = - 5

Find the value of x.

80
42
60
30

Answers

Answer:

I am pretty sure its 60 i am sorry if its wrong

Step-by-step explanation:

Other Questions
A 7.41 mass % aqueous solution of sodium chloride has a density of 1.14 g/mL. Calculate the molarity of the solution. Give your answer to 2 decimal places. One of the many steps in the production of toothpaste is to screw the caps on the tubes, which is still a manual process, performed by on man, Mr. Bucket. Which statement about this situation is BEST?A) This is most appropriate for an output measure of capacity.B) In this case, the capacity of this step is not the maximum rate of output.C) This is most appropriate for an input measure of capacity.D) Utilization of the worker at this process step cannot be measures as it is a manual process. Shannon hears a strange rustling noise on her nature walk and then sees a black bear in the clearing. She feels terror but escapes without injury. Now when she walks in the woods, when she hears a rustling noise she instantly feels fear. This BEST illustrates:__________ Which of the following is/are true? A. Sympatric speciation most commonly occurs due to sexual (mate) selection. B. Sympatric speciation can only occur when a single species occupies the same geographic location. C. A plant species obtain an extra set of homologous chromosomes. This would be an example of sympatric speciation. D. A flood causes the loss of all red-headed males ducks in a population. As a result, the red-headed female ducks must breed with yellow-headed male ducks, which are not their preferred mates. This is an example of sympatric speciation. E. The fungal pathogen Mycosphaerella graminicola is found worldwide with its host, cultivated wheat. Mycosphaerella graminicola is host specific and does not occur on other host species such as Barley. The closest known relative of M. graminicola is a barely-adapted pathogen Septoria passerinii. You are researching these fungi and have the following hypothesis: If M. graminicola and S passerinii do not have a common ancestor that lived in one geographic area where wheat and barley grew, it may be possible that a common ancestor gave rise to these two species. This would be classified as sympatric speciation. Your hypothesis and definition of sympatric speciation is logical. What identity can be used to rewrite the expression 27x^3-64? Suppose you are choosing between two checking accounts. One account charges you $1.50 ATMfee every time you withdraw money from a non-sponsored ATM, and the other charges you noATM fees and a $15 monthly fee.How many ATM transactions are equivalent to $15 in monthly fees? How would the role of a project manager be different in an agile project life cycle, versus a plan-driven or traditional project life cycle? Which of the following statements is correct?a.An advantage of the corporate form for many businesses is the fact the corporate tax rate always exceeds the personal tax rate, which is the rate at which proprietorships and partnerships are taxed.b.Because corporations enjoy the benefits of limited liability, easy transferability of ownership interest, unlimited life, and favorable tax status relative to the situation for partnerships and proprietorships, most large businesses choose to incorporate.c.Because lawyers have the incorporation process so automated (e.g., word processors for drawing up the necessary papers), it is less expensive to form a corporation than to form a proprietorship or partnership.d.There are more partnerships and sole proprietorships than corporations in the U.S., but corporations produce more goods and services than do other forms of business.e.A major disadvantage of a regular partnership or a corporation as a form of business is the fact that they do not offer their owners limited liability, whereas proprietorships do. Suppose that the rise in the price of coffee beans resulted in a large decrease in the supply of Starbucks coffee while the lower prices by its competitor resulted in only a small decrease in demand. The net impact would be a:________. An ethernet cable is 3.80 m long and has a mass of 0.210 kg. A transverse pulse is produced by plucking one end of the taut cable. The pulse makes four trips down and back along the cable in 0.735 s. What is the tension in the cable? Explain how to develop professionalism and list five characteristics of a true professional. Bill and Tom were both adopted as infants. Tom's biological father is currently incarcerated for a violent offense. This is not the first time he has been incarcerated. He has been committing crime his entire life. The parents who adopted Tom have never committed a crime. Bill's experience was the opposite. His biological parents were not criminal but his adoptive father started committing crime and went to prison when he was eighteen. Given the research on genetics and crime, what would be the most likely result?1. Tom is more likely to commit crime than Bill2. Bill is more likely to commit crime than Tom3. Bill and Tom are equally likely to commit crime4. Genetics would not predict any relationship between the boys' family status and crime What effect did the Kansas Nebraska act have on the compromise of 1820 Identify three characteristics of the progressives: The concept of a holding environment has its roots in the field of psychotherapy in which therapists create a safe place for clients to communicate with them.O TrueO False Understand the terms genome, chromosome, gene, replication fork, Okazaki fragment, genotype, phenotype, codon, anticodon, promoter, intron, exon . Know the relative sizes of plasmids, bacterial and eukaryotic genomes. Know the general structure of the bases of RNA and DNA, including which are purines and which are pyrimidines. Understand the base pairing rules and how the bases are held together. Know what an antiparallel arrangement is. Know the difference between replication, transcription and translation. Know the function of the enzymes helicase, primase, DNA polymerase III, DNA polymerase I, RNA polymerase, ligase and gyrase. Know the differences between leading and lagging strand synthesis. Understand the relationship between DNA sequence and protein function. Know the difference between RNA and DNA and the different types of each found in the cell. Understand the process of protein synthesis and how to read the genetic code. Know how transcription and translation differ between eukaryotes and prokaryotes. Be able to compare an inducible and repressible operon and know the examples covered in class Know what a mutation is and how they arise. Know the different type of mutations including point, missense, nonsense, silent, back, substitution and frameshift. Know which types of mutations are most serious and why. Understand genetic recombination in bacteria including conjugation, transformation and transduction. A child in danger of drowning in a river is being carried down-stream by a current that flows uniformly with a speed of 2.20 m/s . The child is 500 m from the shore and 1100 m upstream of the boat dock from which the rescue team sets out.If their boat speed is 7.30 m/s with respect to the water, at what angle from the shore must the boat travel in order to reach the child? What odds should a person give in favor of the following events? (a) A card chosen at random from a 52-card deck is an ace. (b) Two heads will turn up when a coin is tossed twice. (c) Boxcars (two sixes) will turn up when two dice are rolled After many years of doing his laundry at a public laundromat, Brett was glad to move into an apartment with washer and dryer hookups. he planned to buy a washer and dryer to save time and money. Which of the following needs would the purchase satisfy?utilitarian needs T/F prove: st = ut+ at