which of the following pathways would be found under the transportation, distribution, and logistics career cluster?​ [Apex]

A. Engineering and technology
B. Health, safety, and environmental management
C. Security and protective service
D. Logistics and inventory control

Answer:

x = 7

Explanation:

Because 25 is a perfect square of 5, we can turn

[tex]5^{3x - 5}[/tex] = [tex]25^{x + 1}[/tex]

into

[tex]5^{3x - 5}[/tex] = [tex]5^{2x + 2}[/tex]

Since the bases are now both equal, we can completely ignore them, as we are only trying to find x. This leaves us with:

3x - 5 = 2x + 2

All we have to do now is solve for x:

x - 5 = 2          Subtract 2x from both sides.

x = 7                Add 5 to both sides.

Hope this helps! :)

Answer:

x = 7

Explanation:

To solve for x in this equation, we're going to need to get the two exponents (3x - 5 and x + 1) equal to each other, but we can't do that unless our bases are the same.

For example, in [tex]A^{x} = B^{x + 1}[/tex], you cannot solve x = x + 1. In [tex]A^{x} = A^{x + 1}[/tex], you can solve x = x + 1.

Just by looking at the bases, 5 and 25, you can tell that it will be simple to make them match. 25 is just 5². The tricky part is going to be figuring out where to put the 2 into x + 1.

Let's look at another example. If you have [tex]2^{2 * 2}[/tex], then you can simplify it to [tex]2^{4}[/tex], which is 16. Or, you could do them one at a time, so [tex](2^{2}) ^{2}[/tex]. This way you'd have 4², which you'd be able to recognize as 16. Based on this example, we know that to make our bases the same, we need to change [tex]25^{x + 1}[/tex] to [tex]5^{2(x + 1)}[/tex].

[tex]5^{3x-5} = 25^{x+1}[/tex]   Change the right side to [tex]5^{2(x + 1)}[/tex]

[tex]5^{3x-5} = 5^{2(x+1)}[/tex]   Simplify that exponent using distribution

[tex]5^{3x-5} = 5^{2x+2}[/tex]  

Now that the bases match, you can get rid of them and just set the exponents equal to each other and solve for x.

3x - 5 = 2x + 2   Add 5 to both sides

3x = 2x + 7   Subtract 2x from both sides

x = 7

Now, check you work!

[tex]5^{3x-5} = 25^{x+1}[/tex]   Plug in 7 for x

[tex]5^{3(7)-5} = 25^{(7)+1}[/tex]   Simplify

[tex]5^{21-5} = 25^{8}[/tex]   Simplify one more time

[tex]5^{16} = 25^{8}[/tex]   Plug these into a calculator if you have one

152587890625 = 152587890625   So you know that x = 7 is correct.

Answer:

Donut

Explanation:

Doughnut is used by rare people. So, I just say Donut

Answer:

Either way is technically correct, but the original form of the word is doughnut. While the word has been Americanized to the shortened version of donut. If this were for the sat doughnut would be "more" correct

Explanation:

Answer:

1. Fruit

2. Ovary

3. Ovule

4. Leaf Structure

5. Vascular bundle structure

6. Dispersal

7. Monocots and Dicots

8. Eunice switched the Filament and Stamen

Answer:

1. Fruit

2. Ovary

3. Ovule

4. Leaf Structure

5. Vascular bundle structure

6. Dispersal

7. Monocots and Dicots

8. Eunice switched the Filament and Stamen

i just took the test so yeah the gut before was right

Lemons and limes are highly acidic citrus fruits. Limes are green, small, and generally more acidic than lemons. Lemons are yellow and larger than limes. Both fruits have good nutritional qualities. There pH is also different take a look at the picture below.

Limes and lemons are from the same citrus fruit family, rich in vitamin C but different in color. Limes are green and smaller, whereas lemons are yellow and big in size. Despite the differencein flavor, color and size; limes andlemons have the same nutritional benefits and are low in calories.

Answer: test scores

Standardized test scores

Explanation:

Answer:

280

Explanation:

For ease of comparison $20/hr < $12/hr+ commission, let's do it by the hour first.

Hourly pay of the food truck is $12, every burger she sells, she gets 10% of the $12 burger, which is $1.2. Therefore all we need to figure out is 1.2x +$12 > $20. Minus both sides by 12, now all we have is down to the bare minimum: 1.2*X = $8

8 divided by 1.2 is 6.66 (infinite), but since she can't sell 0.6 of a burger, we need to round up, which is 7, keep in mind we are still at hourly. Now we know that she has to sell at least 7 burgers every hour she's working for the food truck, it's a 40-hour work week, 7*40 is 280.

Check:

Food truck: $12+ 12*0.1*7 = $20.4/hr  $20.4 > $20

Best of luck for your SAT!

Answer:

counselor

Explanation:

Direct Stafford Loans are funded by the federal government, which provides these student loans via the college's financial aid office after changes were enacted in 2010 to eliminate private banks from the lending process.

Direct Stafford Loans are funded by the federal government. These are made to eligible undergraduate and graduate students to assist with the costs of higher education. There are two types of Direct Stafford Loans: Direct Subsidized Loans, which are based on financial need, and Direct Unsubsidized Loans, which do not require proof of financial need.

In March 2010, significant changes were made when President Obama signed a law that effectively transferred the responsibility of issuing student loans from private banks directly to the federal government through the college's financial aid office. This move not only cut out the intermediary private banks, which were assured profits with minimal risk but also aimed to expand the Pell grants program with the savings achieved.

Despite this change, banks still have a role in this system, as they now earn income by servicing the loans instead of originating them.

Answer:

A.  

1.0 M molecular sucrose (C12H22O11)

Answer:

A.  1.0 M molecular sucrose (C12H22O11)

Explanation:

1.0 M molecular sucrose (C12H22O11) has the highest freezing point.

False, While most people see the value in setting goals, few people routinely do it.

The 5 Golden Rules of Goal-Setting

Filters. The definition of goal setting is the process of identifying something that you want to accomplish and establishing measurable goals and timeframes

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When the broken clock reaches midnight, the normal clock will read 2:24 AM.

The broken clock loses 12 minutes every hour. Since it started at 12:00 noon and reaches midnight, it has been running for 12 hours (from 12:00 noon to 12:00 midnight). With a loss of 12 minutes per hour, the broken clock will have lost a total of:

Additionally, we know that the broken clock has lost 144 minutes, which is equivalent to 2 hours and 24 minutes (144 minutes ÷ 60 minutes per hour = 2.4 hours). So, when the broken clock reaches 12:00 midnight, the normal clock would be 2 hours and 24 minutes ahead of it.

So, when the broken clock reaches 12:00 midnight, the normal clock will read 2:24 AM.

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Answer:

1) C

2) B

3) D

4) B

5) A

6) C

7) B

8) D

9) A

10) B

Explanation:

Equation of a  straight  line is y= m x + c

m = slope

c is y- intercept

1) y = (-1/2)x + c

substitute (5,-2)  for (x, y) points in the equation above

c = (1/2)

Therefore, the equation of the line is  y = (-1/2)x + (1/2)

substituting the options A  to D in to the equation to check for equality we find that option C does not lie on the Line  it should have been (4, -1.5)

2) y = (3/4)x + c

substitute (3,3)  for (x, y) points in the equation above

c = (3/4)

Therefore, the equation of the line is  y = (3/4)x + (3/4)

substituting the options A  to D in to the equation to check for equality we find that option B does not lie on the Line  it should have been (-6, -3.75)

3) y = (-1/5)x + c

substitute (-7,2)  for (x, y) points in the equation above

c = (3/5)

Therefore, the equation of the line is  y = (-1/5)x + (3/5)

substituting the options A  to D in to the equation to check for equality we find that option D does not lie on the Line  it should have been (4, -0.2)

4) y = (1/2)x + c

substitute (9,3)  for (x, y) points in the equation above

c = (-3/2)

Therefore, the equation of the line is  y = (1/2)x - (3/2)

substituting the options A  to D in to the equation to check for equality we find that option B does not lie on the Line  it should have been (6, 1.5)

5) y = (-2/3)x + c

substitute (5,3)  for (x, y) points in the equation above

c = (1/3)

Therefore, the equation of the line is  y = (-2/3)x + (1/3)

substituting the options A  to D in to the equation to check for equality we find that option A does not lie on the Line  it should have been (-3, 2.333)

6) y = (1/4)x + c

substitute (5,2)  for (x, y) points in the equation above

c = (3/4)

Therefore, the equation of the line is  y = (1/4)x + (3/4)

substituting the options A  to D in to the equation to check for equality we find that option C does not lie on the Line  it should have been (4, 1.75)

7) y = (-3/2)x + c

substitute (3,-4)  for (x, y) points in the equation above

c = (1/2)

Therefore, the equation of the line is  y = (-3/2)x + (1/2)

substituting the options A  to D in to the equation to check for equality we find that option B does not lie on the Line  it should have been (2, -2.5)

8) y = (3/5)x + c

substitute (3,2)  for (x, y) points in the equation above

c = (1/5)

Therefore, the equation of the line is  y = (3/5)x + (1/5)

substituting the options A  to D in to the equation to check for equality we find that option D does not lie on the Line  it should have been (-4, -2.2)

9) y = (1/3)x + c

substitute (5,1)  for (x, y) points in the equation above

c = (-2/3)

Therefore, the equation of the line is  y = (1/3)x - (2/3)

substituting the options A  to D in to the equation to check for equality we find that option A does not lie on the Line  it should have been (6, 1.333)

10) y = (-3/4)x + c

substitute (-5,4)  for (x, y) points in the equation above

c = (1/4)

Therefore, the equation of the line is  y = (-3/4)x + (1/4)

substituting the options A  to D in to the equation to check for equality we find that option B does not lie on the Line  it should have been (-2, 1.75)

Answer:

A - Self-assessment

Explanation:

Answer:

the answer is letter A. A self-assessment

Answer:

past time focus on what happen yesterday and present time focus on what's going to happen today, tommorrow or next day.

Answer:

percent is the o in

Explanation:

Answer:

D

Explanation:

Double the first equation. Write the second below it. Rearrange the second.

2x - 20 = - 4y

-2x -16= +4y           Add.

- 36 = 0

There is no solution to this pair of equations.

Answer:

0.35

Explanation:

( 0.45*1 + 0.25*1 ) / 2 = 0.35

The probability that someone would be snoring given the percentage of men and women who snore would be 0.5875.

In general, for two independent events A and B, the probability that either A or B occurs is given by:

P(A or B) = P(A) + P(B) - P(A and B)

In this case, we'll need to assume that the man's snoring is independent of the woman's snoring, which seems reasonable in this context.

P(M and W) is the probability that both the man and the woman snore, and since the events are independent, it's given by:

P(M and W) = P(M) * P(W) = 0.45 * 0.25 = 0.1125

Substituting these values into the formula, we get:

P(M or W) = P(M) + P(W) - P(M and W)

P(M or W) = 0.45 + 0.25 - 0.1125

= 0.5875

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Answer:

a/b= 2/15

Explanation:

3a +b

----------- = 7/5

b

5(3a+b)=7 x b

15a +5b = 7b

15a = 7b-5b

15a = 2b

15a/2b = 1

a/b x 15/2 =1

we get,

a/b = 2/15

hope you have no doubt now !

If 3a+b/b=7/5. The value of a/b is 2/15.

The area of mathematics known as algebra deals with manipulating or performing operations on abstract symbols rather than numbers.

Algebra is a common thread that runs through practically all mathematics. It involves the study of variables and the rules for manipulating them in formulas.

Since all mathematical applications involve manipulating variables as though they were numbers, elementary algebra is a prerequisite.

Given that, 3a + b/b = 7/5

now cross multiple both side

5(3a+b)=7 x b

15a +5b = 7b

15a = 7b-5b

15a = 2b

15a/2b = 1

a/b x 15/2 =1

Multiply both sides by 2/15

we get,

a/b = 2/15

Therefore, the value of a/b is 2/15.

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Answer: Caution Lights ( An intermitent yellow light )

Explanation: At night, is normal to see a decrease in the traffic of some streets. Then is normal that the traffic lights change their usual way to work, and now they just show the yellow light in an intermittent pattern. This means that the driver must have caution when passing trough the street.

Answer:

Proprietary

Explanation:

There are often concerns about accreditation with Proprietary colleges.

Answer:

Propietary

Explanation:

Propietary colleges are higher education institutions that work as a private, for profit organization. With these colleges there is a general concern related to the accreditation as a lot of them don't have the same accreditations as the non-profit schools and because of that some of the non-profit colleges or employers don't accept their degrees.

Answer:

Taking the easiest path

Answer:

a thermo cup

Explanation:

Answer:

Explanation:

A Thermos.

Most Thermoses do a little better with hot than cold, but both are well kept if the time between heating or cooling is not too long.

Answer:

The correct answer is: D urination

ANSWER:

Salt glands allow desert animals to reduce water loss because of Urination.

EXPLANATION:

The salt gland secretes various ions that help the desert animals to excrete excess salt present in the water they consume. This gland produces hyperosmotic fluid that helps in secretion of sodium chloride ions.

So salt-containing water excretes out in the form of urination and the remaining water returns to the blood fluid. Thus water loss through urination is reduced.

Answer:

Explanation:

Let's just get the answer and then show why the others are wrong.

The answer is C.

The number of reactants and Products need not be the same

C3H8 + 5O2 ===> 3CO2 + 4H2O

The reactants = 1 + 5 = 6

The products = 3 + 4 = 7

So A is incorrect.

================

B is saying that

C3H8 + 5O2 ===> C3H8 + 5O2

The answer is obviously not B

======================

C8H18(l) + O2(g) ==> CO2(g) + H2O(g)      unbalanced

Gasoline is a liquid. All the rest are gases. D is wrong.

=================

C is correct

The left side has

3 Cs

8 Hs

and 10 Os

The right side has

3Cs

8Hs

10 Os

Answer:

Drake is from Toronto, Canada.

Explanation:

Answer:

75

Explanation:

Grace has been eating gummy bears for two days.

 Let n = number of gummy bears at beginning of first day. Then

0.40n = number of gummy bears eaten on first day, and

0.60n = number of gummy bears remaining at end of first day

0.60n = number of gummy bears at beginning of second day.

0.40 × 0.60n = 0.24n = number of gummy bears eaten on second day

0.60n - 0.24n = 0.36n = number of gummy bears remaining at end of second day

0.36n = 27

      n = 27/0.36 = 75

There were 75 gummy bears in the bag at the beginning of the first day.

Answer:

lead to defect in vision

Explanation:

May cause myopia or hypermeteropia too and also leads to effect rods and cones

ANSWER:

Too much visual stimulation in the classroom can lead the children to be distracting from their academic performance.

EXPLANATION:

Answer:

D) conveys unique qualities about a student

Explanation:

A good letter of recommendations would have a lot of good things about the student, so it would be more than a page long.

Schools want to hear good things about students, so it would D.