The sum of six different natural numbers is 22. Find these numbers.

Answers

Answer 1

Answer:

1,2,3,4,5,7

Step-by-step explanation:

1+2+3+4+5+7 = 22

Answer 2

Final answer:

Six different natural numbers that add up to 22 are 1, 2, 3, 4, 5, and 7. The process involved starting with the smallest natural numbers and then incrementally adjusting the sequence to arrive at the sum of 22.

Explanation:

The question asks to find six different natural numbers whose sum equals to 22. We can begin with the smallest natural numbers, knowing that 1 cannot be included because the sum of the next five natural numbers (2, 3, 4, 5, and 6) already exceeds 22. If we start with 2 and follow with the next smallest numbers (3, 4, 5, and 6), the sum would be 20, which is close but not quite the target sum. To reach the sum of 22, we need to replace one of these numbers with a slightly larger number while still maintaining the rule that every number must be different.

Let's replace the 6 with a 7, so our numbers are now 2, 3, 4, 5, and 7. If we sum these up (2 + 3 + 4 + 5 + 7), we get 21. We need to add one more number to reach 22. The smallest number we haven't used yet is 1, but adding 1 to our sequence would require us to adjust another number as follows: 1, 2, 3, 4, 5, and 7 add up to 22. Therefore, the six different natural numbers whose sum is 22 are 1, 2, 3, 4, 5, and 7.


Related Questions

If Joe makes 16 out of 40 free throws in a
basketball game, what is his free throw shooting
percentage?

Answers

The answer would be 6.4% because you have to do 16% of 40 and it will give you 6.4 and as a percent it is 640%

Answer:

the answer is 6.4%

Step-by-step explanation:

Because you have to do 16% of 40 and it will give you 6.4 and as a percent it is 640% hope it helps!!!!!!!!!

Find the circumference of each circle with the given radius or diameter. Round to the nearest tenth. Use 3.14 for T.
d = 14.2 mm

Answers

Answer:

C=44.6mm

Step-by-step explanation:

C=pi times d

C=3.14 times 14.2

Final answer:

The circumference of a circle with a diameter of 14.2 mm is 44.6 mm when rounded to the nearest tenth.

Explanation:

To find the circumference of a circle with a given diameter, you can use the formula C =
(D), where
is approximately equal to 3.14, and D is the diameter. For a circle with a diameter of 14.2 mm, the circumference would be calculated as follows:



C = 3.14 x 14.2 mm



After performing the multiplication:

C = 44.588 mm



When rounded to the nearest tenth, the circumference is:


C = 44.6 mm



Therefore, the circumference of the circle is 44.6 mm.

what is the total cost with sales tax? $370.00 tax 5%

Answers

Answer: $388.5

Step-by-step explanation:

Total cost = cost + sales tax

Given that cost = $370

Sales tax = 5% of $370

5/100 × 370 = $18.5

Total cost = $370 + $18.5

= $388.5

I hope this is clear.

Solve this equation with a variable term on both sides:

5.1y + 21.3 = –0.3y – 24.6

What is the solution?

y =

Answers

Answer:

-8.5

Step-by-step explanation:

5.1y + 21.3 = -0.3y - 24.6

get the equation to one side and have so it y is positive

5.4y + 45.9= 0

Then subtract 45.9 to the 0 so its like this

5.4y = -45.9

then devide -45.9/5.4

answer y= -8.5

Answer:

-8.5

Step-by-step explanation:

Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x-4
h(x) = x
h(x) = 2x

Answers

ANSWER IS D HOPE IT HELPS

Edith babysits for x hours a week after school at a job that pays $4 an hour. She has accepted a
job that pays $8 an hour as a library assistant working y hours a week. She will work both jobs.
She is able to work no more than 15 hours a week, due to school commitments. Edith wants to
earn at least $80 a week, working a combination of both jobs.
Write a system of inequalities that can be used to represent the situation.
Graph these inequalities on the set of axes.
Determine and state one combination of hours that will allow Edith to earn at least $80 per week
while working no more than 15 hours.

Answers

Answer:

Part A) The system of inequalities are

[tex]x+y\leq 15[/tex]

[tex]4x+8y\geq 80[/tex]

Part B) The graph in the attached figure

Part C) see the explanation

Step-by-step explanation:

Part A) Write a system of inequalities that can be used to represent the situation.

Let

x ----> the number of hours worked as a babysitter

y ----> the number of hours worked as a library assistant

we know that

She is able to work no more than 15 hours a week

so

[tex]x+y\leq 15[/tex] -----> inequality A

Edith wants to  earn at least $80 a week

The word "at least" means " greater than or equal to"

so

[tex]4x+8y\geq 80[/tex] ----> inequality B

Part B) Graph these inequalities on the set of axes.

Using a graphing tool

The solution of the system is the triangular shaded area in the attached figure

Part C) Determine and state one combination of hours that will allow Edith to earn at least $80 per week  while working no more than 15 hours

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities. (The ordered pair lie in the shaded area of the solution set)

Looking at the graph

The ordered pair (4,9) lie in the shaded area

Verify if the ordered pair satisfy both inequalities

Inequality A

[tex]4+9\leq 15[/tex]

[tex]13\leq 15[/tex] ---> is true

so

The ordered pair satisfy the inequality A

Inequality B

[tex]4(4)+8(9)\geq 80[/tex]

[tex]88\geq 80[/tex] --> is true

so

The ordered pair satisfy the inequality B

therefore

The ordered pair is a solution of the system

(4,9)

That means

The number of hours worked as a babysitter in a week is 4 and  the number of hours worked as a library assistant  in a week is 9

Edith can babysit for 5 hours and then work for 10 hours as the library assistant in a week so as to earn at least $80 a week

Inequality

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Let x represent the number of hours at the $4 job and y represent the number of hours at the $8 job, hence:

x + y ≤ 15   (1)

Also:

4x + 8y ≥ 80  (2)

Graphing the inequality, the solution is at:

(5, 10)

Edith can babysit for 5 hours and then work for 10 hours as the library assistant in a week so as to earn at least $80 a week

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write an equation that is parallel to the line Y equals 1/2 x -4 and passes through the point 6 / -2

Answers

Answer:

Y equals 1/2 x -4 and passes through the point 6 / -2

Step-by-step explanation:

The length of a rectangle is 5 feet more than twice the width. The perimeter is 28 feet. Find the length and width.

Answers

Answer:

Step-by-step explanation: 5 times 2 equals 10

Brett has 100 feet of fence with which to
make a rectangular cage for his dog. The
area of the cage in square feet is given
by the polynomial -W + 50w, where wis
the width of the cage in feet. What is the
area of the cage if the width is 8 feet?
a) 114 ft2. b) 336 ft?
C) 384 ft? d) 464 it

Answers

C lejgjjf484885845886

Answer:

D 464

Step-by-step explanation:

lemme know if you need an explanation

What is the ratio of blue shapes to all shapes in the set below?
2 blue triangles, 1 blue circle, and 2 blue squares. 1 orange square, 2 orange circles, and 1 orange triangle.
4:9
5:9
4:5
5:4

Answers

Answer:

[tex]ratio=\frac{5}{9}[/tex]

Step-by-step explanation:

Let

x ----> the number of blue shapes in the set

y ----> all shapes in the set

we know that

To find out the ratio of blue shapes to all shapes in the set , divide the number of blue shapes in the set by the number of all shapes in the set

we have

[tex]x=5\\y=9[/tex]

therefore

The ratio is equal to

[tex]ratio=\frac{x}{y}[/tex]

substitute

[tex]ratio=\frac{5}{9}[/tex]

Answer: It would be letter B (5:9)

Step-by-step explanation:

A shipping company damaged 15 packages. Each package was valued at $175.50. Which expression represents this situation?


A. 15 x (-$175.50)

B. 15 + $175.50

C. 15 – $175.50

D. 15 ÷ (-$175.50)

Answers

Answer: A

Step-by-step explanation:

15 packages damaged. Cost is -175.50 this is a loss. So 15x(-175.50)

Expression represents the situation of shipping company damages is 15 x (-$175.50).

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, a shipping company damaged 15 packages and each package was valued at $175.50. Hence,

Expression that represents this situation = 15 * 175.50

this value will be in negative since its a loss.

Therefore, The expression 15 x (-$175.50) depicts the state of the transportation company's damages.

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$9000 is 60% of what number?

Answers

Answer:

15000

Step-by-step explanation:

We have, 60% × x = 900 or,  

60

100

× x = 9000

Multiplying both sides by 100 and dividing both sides by 60,

we have x = 9000 ×  

100

60

x = 15000

If you are using a calculator, simply enter 9000×100÷60, which will give you the answer.

Which expression is equivalent to y times y times y times z times z times z times z? y cubed z Superscript 4 12xy (y z) Superscript 7 7xy

Answers

Answer:

Option 1 - y cubed z superscript 4

Step-by-step explanation:

Given : Expression y times y times y times z times z times z times z.

To find : Which expression is equivalent to given expression ?

Solution :

Re-write the expression as,

[tex]y \times y \times y \times z \times z \times z \times z[/tex]

Write the number of time value repeat itself as the power,

[tex]y \times y \times y \times z \times z \times z \times z=y^3\times z^4[/tex]

[tex]y \times y \times y \times z \times z \times z \times z=y^3z^4[/tex]

or we can say that the expression is y cubed z superscript 4.

Therefore, option 1 is correct.

Answer:

it is A).

Step-by-step explanation:

Find the maximum value of
C = 4x + 2y
Subject to the following constraints:
x > 0
y>0
2x + 2y < 10
3x + y < 9

Answers

Answer:

The maximum value of C is 14

Step-by-step explanation:

we have the following constraints:

[tex]x\geq 0[/tex] ----> constraint A

[tex]y\geq 0[/tex] ----> constraint B

[tex]2x+2y\leq 10[/tex] ----> constraint C

[tex]3x+y\leq 9[/tex] ----> constraint D

Solve the system of inequalities by graphing

using a graphing tool

The solution is the quadrilateral shaded area

see the attached figure

The vertex of the figure are

(0,0),(0,5),(2,3) and (3,0)

To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function C and then compare the results

we have

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

[tex]For (0,0) -----> C=4(0)+2(0)=0\\For (0,5) -----> C=4(0)+2(5)=10\\For (2,3) -----> C=4(2)+2(3)=14\\For (3,0) -----> C=4(3)+2(0)=12[/tex]

therefore

The maximum value of C is 14

Answer:

The maximum value is c=14

Step-by-step explanation:

I hope this helps

I also did the question on acellus

I need help understanding this homework. I am totally lost. It says Solve the problem, show your work and PQPA your answer. My daughter has to turn this paper in tomorrow morning.

Answers

Step-by-step explanation:

I'm guessing that "PQPA" means like Problem Question, Problem Answer (so what you are trying to find, and what it is (I think)).

That means the first problem is (3/4)+(7/8) = 13/8 and "How much water is collected in two hours?"

This means the second problem is (2 1/3) - (1 3/4) = (7/3)-(7/4) = 7/12 and "How many pounds of beef are left"

This means the third problem is (1 -(1/6))(2/5) = (5/6)(2/5) = 1/3 and "What fraction of her paycheck is saved"

This means that the fourth problem is (3/4)(2/3) = 1/2 and "How long did it take Megan to do her HW?"

What value of x makes the equation true? 4x - 3= -9 + 7x
2
-2
−12
12

Answers

Answer:

x = 2

Step-by-step explanation:

Given

4x - 3 = - 9 + 7x ( subtract 7x from both sides )

- 3x - 3 = - 9 ( add 3 to both sides )

- 3x = - 6 ( divide both sides by - 3 )

x = 2

The fraction 40/50 is equivalent to ___. *
1 point



.13



1.25



80%



20%

Answers

Answer:

80%

Step-by-step explanation:

80% because 40/50 is equal to 80%

The original price of the shorts is $35. They are on sale for 25% off. What is the sale price?

Answers

Answer:

$26.25

Step-by-step explanation:

So what you do is divide 25 by 100 so its a decimal .25 then multiply that by 35 and you get 35/4 or 8.75 you take that number and subtract it from 35 and you get 26.25.

For future reference what ever percentage you have like if says it went up 80% you divide that by a hundred also and you get .80 you multiply that by 35 you get 28 you don't subtract it from the original price but you add it so you get 35+28=63 and that's your final answer.

Remember you divide the percentage for example 25 by 100 multiply by the price it gives for example 35 if the question says off you subtract what you got from the original price if it went up you add it to the original price and that's your final answer. Hope this help :)

Staci is attending a music festival. The ticket to the festival costs $87.96 . Staci plans to purchase $30.00 t-shirts form the event for close friends. She is taking $200.00 to the festival . What is the maximum Numbers of t-shirts staci can purchase

Answers

Answer:

3 t-shirts

Step-by-step explanation:

Lets recap the information we will use from this problem:

The ticket to the festival costs $87.96

T-shirts are $30.00

She is taking $200.00 to the festival

Now we can solve. First we will subtract the price of the ticket from the total amount of money she has.

$200.00 - $87.96 = $112.04

Now that she has payed for the ticket, we want to find out how many shirts she can buy with the remainder of her money. To find this, we will set up an equation like this:

(Amount of money left) ÷ (Cost of 1 t-shirt) = (How many t-shirts she can buy)

Insert your numbers: $112.04 ÷ $30.00 = 3.73466666667

Because she cant buy a fraction of a t-shirt, we ignore the decimals on the end of this number. Therefore, Staci can purchase 3 t-shirts.

Final answer:

After paying for the festival ticket, Staci will have $112.04 left. As each t-shirt costs $30, she can buy a maximum of 3 t-shirts.

Explanation:

The question is about determining how many T-shirts Staci can purchase given a specific budget. First, Staci has to cover the cost of the music festival ticket, which is $87.96. After paying for the ticket, Staci would have $200 - $87.96 = $112.04 left.

Given that each T-shirt costs $30, the maximum number of T-shirts she can purchase can be calculated by dividing the remaining amount by the cost of a T-shirt. Hence, $112.04/$30 ≈ 3.73. Since she can't buy a fractional T-shirt, the maximum number of T-shirts she can buy is 3.

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What is one half after 4:00 in the morning

Answers

Answer:

Step-by-step explanation:

4:30am

CAN SOMEONE PLEASE HELP WITH THIS???

Answers

i really don’t know the answer to this but good luck and i’m just writing this to get points

Answer:

B) 384

Step-by-step explanation:

Hello! This is the answer.

Volume of a square pyramid:

V = (1/3)a2h

Slant Height of a square pyramid:

By the pythagorean theorem we know that

s2 = r2 + h2

since r = a/2

s2 = (1/4)a2 + h2, and

s = √(h2 + (1/4)a2)

This is also the height of a triangle side

Lateral Surface Area of a square pyramid (4 isosceles triangles):

For the isosceles triangle Area = (1/2)Base x Height. Our base is side length a and for this calculation our height for the triangle is slant height s.  With 4 sides we need to multiply by 4.

L = 4 x (1/2)as = 2as = 2a√(h2 + (1/4)a2)

Squaring the 2 to get it back inside the radical,

L = a√(a2 + 4h2)

Base Surface Area of a square pyramid (square):

B = a2

Total Surface Area of a square pyramid:

A = L + B = a2 + a√(a2 + 4h2))

A = a(a + √(a2 + 4h2))

Therefore your answer is B 384.

Find the minimum value of
C = x + y
subject to the following constraints:
2x + y = 20
2x + 3y = 36
X=0
Y=0

Answers

Answer:

14

Step-by-step explanation:

2x + y = 20                                                                                     (1)

2x + 3y = 36                                                                                  (2)

(2) - (1) ⇔ (2x - 3y) - (2x + y) = 36 - 20

          ⇔ 2y = 16

          ⇔ y = 8                                                                               (3)

From (3) and (1), we have:

    2x + y = 2x + 8 = 20

⇔ 2x = 12

⇔ x = 6

So: C = x + y = 6 + 8 = 14

Conclusion : C = 14

Brainliest, please?

Final answer:

The minimum value of the function C = x + y, under the given constraints, is 0. This is obtained when both x and y are equal to 0. If the constraints 2x + y = 20 and 2x + 3y = 36 are considered, the value obtained is 16, which is larger.

Explanation:

To solve this problem, we need to substitute the values of x and y into the function C = x + y and then find the minimum. As our initial constraints state x=0 and y=0, we can try these values first. C at (x = 0, y = 0) is 0 + 0 = 0.

The above scenario considers only the initial constraints x=0 and y=0.So, let's consider the constraints 2x + y = 20 and 2x + 3y = 36. We can solve these two equations simultaneously to get the values of x and y. When we solve them, it results x = 4 and y = 12. Substitute these values in the function C = x + y, we get C = 4 + 12 = 16.

Therefore, comparing the values obtained, the minimum value of the function C = x + y, subjected to the given constraints, is 0 when both x and y are 0.

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In the figure below, triangle RPQ is similar to triangle RTS.
What is the distance between P and Q?
0 24
0 42
50
0 54
Unmark this question
Save and Exit
Next

HELP ASAP PLZ

Answers

Answer:

PQ = 54

Step-by-step explanation:

The rest of the question is the attached figure.

As shown:

triangle RPQ is similar to triangle RTS.

So, the corresponding sides are in proportion.

[tex]\frac{PQ}{TS}= \frac{RP}{RT}[/tex]

From the figure:

TS = 36 , RP = 42 AND RT = 28

∴ [tex]\frac{PQ}{36} = \frac{42}{28} \\[/tex]

∴ PQ = 36 * 42/28 = 54

So, the distance between P and Q = 54

You have $512.50. You earn additional money by shoveling snow. Then you purchase a new cell phone for $249.95 and have $482.55 left. How much money do you earn shoveling snow?

Answers

You make $220 dollars shoveling snow

The person earned $220.

What is subtraction?

The process of subtracting one number from another is known as subtraction.

The person initially has $512.50.

The total money person spends is:

$249.95 + $482.55

=$732.5

Now, subtract 512.50 from 732.5 to get the money earned by the person:

$732.5 - $512.50

= $220

Hence, the person earned $220.

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600 or 600 decreased by 20% and then increased by 20% of the result? Which amount is larger and by how much

Answers

Answer:

The initial value of 600 is larger and larger by 24.

Step-by-step explanation:

First of all a 20% decreased of 600.

So, the new value will be [tex]600(1 - \frac{20}{100}) = 600 \times 0.8 = 480[/tex].

Now, then it is increased by 20% i.e. 480 will be increased by 20%.

So, the new value will be [tex]480(1 + \frac{20}{100}) = 480 \times 1.2 = 576[/tex].

Therefore, the initial value of 600 is larger and larger by (600 - 576) = 24. (Answer)

Answer:

The initial value of 600 is larger and larger by 24.

Step-by-step explanation:

First of all a 20% decreased of 600.

So, the new value will be .

Now, then it is increased by 20% i.e. 480 will be increased by 20%.

So, the new value will be .

Therefore, the initial value of 600 is larger and larger by (600 - 576) = 24. (Answer)

An ice cream store sells
28 flavors of ice cream. Determine the number of 44
dip sundaes How many 4 dip sundaes are possible if order is not considered and no flavor is​ repeated?
11.8#7

Answers

Total number of 4 dip sundaes ,  if order is not considered and no flavor is repeated is 491400 .

Step-by-step explanation:

We have , an ice cream store sells 28 flavors of ice cream, determine the number of 4 dip sundaes. how many are possible if order is not considered and no flavor is repeated? Let's find this:

There are we flavors available as the first sundae flavor. After selecting a flavor for the first sundae flavor there are 27 flavors available for the second. The same way there are 26 flavors for the third sundae flavor and 25 flavors available for the forth sundae flavor. So, Total number of 4 dip sundaes ,  if order is not considered and no flavor is repeated is  [tex]28(27)(26)(25)=491400[/tex] available sundaes.

Total number of 4 dip sundaes ,  if order is not considered and no flavor is repeated is 491400 .

why is it that |-9| = |9|

PLEASE HELP ASAP

A: The absolute value of a number gives its distance from zero on the number line.

B: when you multiply either number by -1, you get the other.

C: The absolute value of a number always gives the opposite of a negative number in the square of a positive number.

D: when the numbers are squared, they give the same answer.

Answers

Answer:

The answer A. "The absolute value of a number gives its distance from zero on the number line."

Step-by-step explanation:

An absolute number has these in it '| |'. An absolute number always is positive, because it represents a difference.

For example, the difference of 0 and -30 is |30|.

Though 0 - 30 is -30, the DIFFERENCE is |30|.

As the answer says, "its distance from zero on the number line".

Final answer:

The absolute value of -9 equals the absolute value of 9, which is 9, because absolute value represents the distance from zero on the number line, and both -9 and 9 are 9 units away from zero, regardless of their direction.

Explanation:

The reason why |-9| = |9| is because the absolute value of a number refers to its distance from zero on the number line. This distance is always a non-negative number since it does not refer to direction, just the magnitude of separation from zero. Therefore, both -9 and 9 are 9 units away from zero, and their absolute values are equal.

In mathematical terms, the absolute value function, denoted by | |, strips away the sign of a number, turning any negative number into its positive counterpart. So, |9| is already positive, and |-9| transforms -9 into 9 because you remove the negative sign, rendering both absolute values equivalent.


Which relation is a function?
A) x = y2 - 3
B) x = y - 4x2
C) y2 = 4x - 6
D) x2 = y2 - 10

Answers

Answer:it is B

Step-by-step explanation:

Solve for x 3(2x-4)=6

Answers

6x-12=6
6x= 6+12
6x=18
x= 3

1. Divide both sides by 3

2x - 4 = 6/3

2. Simplify 6/3 to 2

2x - 4 = 2

3. Add 4 to both sides

2x = 2 + 4

4. Simplify 2 + 4 to 6

2x = 6

5. Divide both sides by 2

x = 6/2

6. Simplify 6/2 to 3

x = 3

The water level in a swimming pool increased from 4.5 feet to 6 feet.What is the percent increased in the water level rounded to the nearest tenth of a percent?Show your work

Answers

Answer: The answer is  80.5  percent

Step-by-step explanation:

Because 6 = 100 percent  4.5 = 80.5  
Other Questions
there are 250 toothpicks in a regular size box. a jumbo size box is made by tripling the length,width, and height of the regular box. how many toothpicks will the jumbo box hold The voters of the city passed an ordinance to increase their sales tax by percent. The proceeds of the sales tax are to be used for culture and recreation. In the governmental activities journal, how would the percent sales tax revenue be recorded? An incomplete repeated measures design experiment was done to test people's ability to solve problems that varied in difficulty at three levels (easy, moderate, and hard). The researcher used all possible orders to balance practice effects. Results indicated that performance on the hard problems was better when they were preceded by a moderate difficulty problem than when they were preceded by an easy problem. Which of the following is a possible explanation of this finding?A. negative transferB. differential transferC. progressive errorD. nonlinear practice effects Two large metal plates are separated by 2.67 cm. One plate has a negative charge, and the other plate has a positive charge. The negative plate is heated until an electron barely comes loose from its surface. The electron then accelerates between the plates and strikes the positive plate moving at a speed of 1.32x107 m/s. What is the voltage between the plates How does the dialogue in paragraph 24 contribute to the humor of the scene? Although there would be minor attempts to retake the Holy Land, the era of Crusades had come to an end. The next two hundred year interaction between Western Europeans, Byzantines, and Muslims, however, would lead to three important periods in world history: the Renaissance, the Age of Discovery, and the _________. At an art center in Minneapolis, you can see an American flag with stripes of green and black and black stars on a yellow ground. When you stare at this flag, and then look away, the afterimage is the familiar American stars and stripes in red, white and blue. This complementary afterimage is consistent with which of the following theories of color?a. subtractive color mixing.b. opponent process theory of color vision.c. additive color mixing.d. trichromatic theory of color vision. solve each system by elimination-x-5y-5z=24x-5y+4z=19x+5y-z=-20 The zone of leaching is the area in which ________. weathered bedrock forms a soil horizon organic matter gathers to create a soil horizon minerals are dissolved and removed from soil minerals are precipitated and added to soil You are a help desk technician providing support for a wireless network. A user calls and complains he cannot access the Internet. The user tells you he has good signal strength, but the network connection states "acquiring network address" and the IP address is all zeros. What could cause this problem? what is an example of how president trump has fulfilled the role of commander in chief this year? the osmotic pressure ofa solution containing 5.87 mg of an unknown protein per 10ml of solution is 2.45 torr at 25 degree celsius. Find the molar mass of the unknown protein. How do plants that are adapted to dry and salty soils normally tolerate the low water potential in the environment? A 1.5-m-long aluminum rod must not stretch more than 1 mm andthe normal stress must not exceed 40 MPa when the rod is subjectedto a 3-kN axial load. Knowing that E = 70 GPa, determine therequired diameter of the rod. Two positive integers have a product of 50. Oneinteger is twice the other. What are theintegers?Separate the answers with a comma.Enter the correct answer. Simplify seven square root of three end root minus four square root of six end root plus square root of forty eight end root minus square root of fifty four. As compared with healthy individuals, people with unmedicated bipolar disorder who are not currently experiencing any symptoms tend to perform cognitive tasks in a MORE ______ manner. If you multiple me by 7 add 1 then divide by 4 you get 9, what number am I. Consider a short, 10-meter link, over which a sender can transmit at a rate of 150 bits/sec in both directions. Suppose that packets containing data are 100,000 bits long, and packets containing only control (e.g., ACK or handshaking) are 200 bits long. Assume that N parallel connections each get 1 of the link bandwidth N. Now consider the HTTP protocol, and suppose that each download object is 100 Kbits long and that the initial download object contains 10 referenced objects from the same sender. Would parallel downloads via parallel instances of non-persistent HTTP make sense in this case? Now consider persistent HTTP. Do you expect significant gains over the non-persistent case? Justify and explain your answer. Factor the expression. 100k^3 75k^2 + 120k 905(5k^2 + 6)(4k 3)(25k^2 6)(20k + 3)5(5k^2 6)(4k + 3)(5k^2 + 30)(4k 15) Steam Workshop Downloader