The graph shows Derek’s pay compared to the hours he has worked.

What is Derek’s hourly rate of pay?
Charlie earns $52.25 in 5 hours of work. What is Charlie’s hourly rate of pay?
Who gets paid more per hour? How much more?

The Graph Shows Dereks Pay Compared To The Hours He Has Worked. What Is Dereks Hourly Rate Of Pay?Charlie

Answers

Answer 1

Derek's hourly rate is $10 and Charlie's hourly rate is $10.45, Charlie's earns $0.45 more per hour than Derek.

What is unit rate?

A unit rate means a rate for one of something.

Given that, a graph which shows Derek's earning hourly, and Charlie earns $52.25 in 5 hours of work,

Derek's earns $10 for an hour

Charlie's earning for an hour = 52.25/ 5 = $10.45

Hence, Charlie's hourly rate is $10.45, and he earns $0.45 more per hour than Derek.

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Related Questions



Evaluate the power.


0.5² =

(Type a whole number or a decimal.)

Answers

The answer of this question is
0.25
The answer is 0.25
0.5 to the y x power is .25 and .25 is equivalent to 0.25

The volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the pressure P. Suppose that V= 70 cm^3 when T = 420 kelvin and P = 18 kg/cm^2 . Find the pressure when T = 140 kelvin and V = 60 cm^3.

Answers

In a case where the expression is give as volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the pressure P, then the pressure will be 7kg/cm^2.

How can the pressure be calculated?

V = k T/ P

and V= 70 cm^3

T = 420 kelvin

P = 18 kg/cm^2

where K is constant of proportionality,

70 =( k * 420) / 18

k = (70 * 18) / 420

k= 3

Then we were given that the pressure=?

T = 140 kelvin

V = 60 cm^3

then V = k T/ P

P= kT/V

P= (3*140)/60

=7

Then the pressure is 7kg/cm^2

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Help Please! Will give brainlest!

Answers

Answer:

[tex] = \frac{10}{0.2} = \frac{100}{2} = 50 \\ = \frac{10}{0.02} = \frac{1000}{2} = 500 \\ = \frac{10}{0.002} = \frac{10000}{2} = 5000 \\ \\ [/tex]

hopefully that will help u

Approximate the following square root to the nearest integer.
√10~

Answers

Correct Answer:
3

Explanation:
√10 = 3.16227766017 ≈ 3

I would appreciate it if you would mark my answer as brainliest.

Can you guys awnser this ?

Answers

a. Jays total income is $93.50 and total spending is $103.25.

b. Jays Spending is greater than income.

c. Total saving is -9.75

d. Jays savings are negative. Since Jays spending is greater than income it does not make sense.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

Jays Income:

Part time job: $83.50

Allowance: $10

Spending:

Clothing: $32.50

Lunches: $19.75

Entertainment: $29.00

Transportantion: $22.50

a. Jays total income and total spending

Total income = $83.50+$10.00

=$93.50

Total spending = $32.50+$19.75+$29.00+$22.50

=$103.25

b. Spending is greater than income.

c. Jays saving=Total income - Total spending

=93.50-103.25

=-9.75

d. Jays savings are negative. Since Jays spending is greater than income it doesnt make sense.

Hence,

a. Jays total income is $93.50 and total spending is $103.25.

b. Jays Spending is greater than income.

c. Total saving is -9.75

d. Jays savings are negative. Since Jays spending is greater than income it doesnt make sense.

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He has spent more than he earned so he is in the whole

f(x) = x^2+11x^2-15x-27 how to find the possibles

Answers

The solution for the function f(x) is x = 9/4 or -1.

What is function?

Function is a combination of different types of variable and constants.

A function is denoted by f(x).

The given function is,

f(x) = x²+11x²-15x-27

⇒f(x) = 12x²-15x-27

To find solution of this function, find factor,

f(x) = 12x²-27x+12x-27

f(x) = 3x(4x-9) + 3(4x-9)

f(x) = (4x-9)(3x+3)

To find solutions substitute f(x)=0,

⇒(4x-9)(3x+3) =0

x=9/4 or -1

So the possible value of x is 9/4 or -1.

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Similarity between concurrent and point of concurrency

Answers

Concurrent lines meet at the point of concurrency.

A rectangular playground is enclosed by 440 feet of fencing. If the length of the playground is 20 feet less than 3 times the width, find the dimensions of the playground.

Answers

The dimensions of the playground are;

Width = 60 feet

Length = 160 feet

How to determine the dimensions

The formula for calculating perimeter of a rectangle is expressed as;

Perimeter = 2( l + w)

Where;

l is the length of the rectanglew is the width of the rectangle

We have the values as;

Perimeter = 440 feet

Length = 3w - 20

Width = w

Now, substitute the values into the formula, we have;

440 = 2( 3w - 20 + w)

expand the bracket

440 = 2( 4w - 20)

440 = 8w - 40

collect like terms

8w = 480

Make 'w' the subject of formula

w = 60 feet

Length = 3(60) - 20

Length = 180 - 20

Length = 160 feet

Hence, the values are 60feet and 160 feet

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Find the X-intercept for this please .

Answers

Answer: I believe both the x and y- intercepts are “(0,0)”

Step-by-step explanation: there is only one intercept and it is at the origin (0,0) making both the x and y - intercepts (0,0) :)


5. If a marble is randomly chosen from a bag containing exactly 2 red, 2 yellow, 4 green,
3 white, and 1 blue marble, what is the probability that the marble is NOT yellow?

Answers

The probability that the marble picked is not yellow is:

10/12

Given:

we have a bag containing exactly 2 red, 2 yellow, 4 green,

3 white, and 1 blue marble.

we are asked to determine the probability that the marble is not yellow = ?

Favorable outcomes for yellow marbles = 2

Total number of outcomes = 12

Probability, P(E) = Number of outcomes favorable to E/Number of all possible outcomes of the experiment.

P(picking an yellow marble) = 2/12

therefore,

P(not picking a yellow marble) = 1 - 2/12

= 12-2/12

= 10/12

Hence the probability that the marble is not yellow is 10/12

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help for brainlest????

Answers

Answer:

The answer is 55, you can figure this out as each number is increasing by 10

a_n=-5+10n


hope it helps

John bought a pair of jeans on sale for $10 off. The original price of the jeans was $45. What was the sale price of the jeans?

Answers

Answer:

$35

Step-by-step explanation:

All you have to do is subtract 10 from 45 because it was $10 off and the original price was $45.

Over three days, Molly earns $2,568 for a local charity. On the first day, she earns twice as much as she earns on the second day. On the third day, she earns three times as much as the second day. How much does she earn on the first day?

Answers

If on the third day, she earns three times as much as the second day. The amount that she earn on the first day is $856.

How to find the amount earned?

Let  a = Amount earned on the first day

Let b = Amount earned on the second day

Let c = amount earned on the third day

Let a + b + c =2568,

Hence,

2b + b +3b =2568

6b =2568

b =2568/6

b =428 second day

So,

a = 2b

a =2(428)

a =856 first day

Thus

c = 3b where b = 428

c=3(428)

c=1284 third day

Check:

a +b + c = $2568

856 + 428 + 1284 = $2568

Therefore she earned $856 on the first day.

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Pete's Convenience Store has a beginning inventory of 12 cans of soup at a cost of $.85 each. During the year, the store purchased 4 at $.95, 6 at $1.05, 7 at $1.35, and 8 at $1.50. By the end of the year, 18 cans were sold. Calculate (A) the number of cans of soup ending inventory and (B) the cost of ending inventory under LIFO, FIFO, and weighted average. (Round your final answers to the nearest cent.)

Answers

A) The number of cans of soup in ending inventory is 19.

B) The cost of the ending inventory under LIFO, FIFO, and the weighted average is as follows:

LIFO                                  $17.15

FIFO                                 $25.65

Weighted average          $21.47

What are the inventory methods?

The inventory methods include First-in, First-out (FIFO), Last-in, First-out (LIFO), Weighted Average, and Specific Identification.

FIFO assumes that the physical flow of goods during sales follows the chronological sequence of their acquisition.

LIFO assumes that the first goods acquired are the last to be sold.

The Weighted Average uses an average to determine the costs allocated to ending inventory and the cost of goods sold.

Specific Identification identifies the specific goods sold with their costs.

Description                 Units Unit Cost  Total

Beginning inventory     12     $0.85     $10.20

Purchases                      4     $0.95       $3.80

Purchases                      6     $1.05        $6.30

Purchases                      7     $1.35        $9.45

Purchases                     8     $1.50       $12.00

Total                            37                     $41.75

Sales                            18

Ending inventory        19 (37 - 18)

Average cost = $1.13 ($41.75/37)

LIFO:

Ending inventory = $17.15 ($10.20 + $3.80 + 3 x $1.05)

FIFO:

Ending inventory = $25.65 (4 x $1.05 + $9.45 + $12.00)

Weighted Average

Ending inventory = $21.47 (19 x $1.13)

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A patient is using a bicycle as part of their physiotherapy routine. The diameter of the bicycle’s wheel is 590 mm. While in session, the wheel is rotating at a speed of 82 rpm (revolutions per minute). If the patient is riding the bicycle for 1 h and 10 minutes, determine the number of kilometres the patient has travelled. Round to the nearest tenth.

Answers

The total distance traveled by the patient in 1 hour and 10 minutes is 10.6 kilometers.

What is the distance?

The distance is the length from one point to the end.

For our purpose, distance represents the product of speed and time.

Diameter of the bicycle's wheel = 590 mm

Speed (Revolutions) per minute = 82 rpm

Time riding the bicycle = 1 hr and 10 minutes = 70 minutes

1 Kilometer = 1,000,000 Millimeters

Distance per rotation = pi x diameter

= 3.14 x 590

= 1,852.6 mm/minute

Total distance traveled in kilometers = (1,852.6 x 82 x 70) ÷ 1,000,000

= 10,633,924 ÷ 1,000,000

= 10.6 kilometers

Thus, we can conclude that the patient traveled 10.6 kilometers by bicycling for one hour and 10 minutes.

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A company's identification card consists of 4 letters followed by 2 digits. How many cards can be
made if repetition of digits are allowed, but letters must only be consonants and have NO
repetition. Note: y is not a vowel.

Answers

The possible cards can be made 6719448100.

What is permutation & combination?

Subsets of a set can be created in two separate ways combination and permutation. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a certain order.

We have,

Letters must only be consonants = 26 - 5.

So, the total number of consonants are 21.  

There are 21 choices for the first letter, 21 choices for the second letter,  21 choices for the thirds letter,  21 choices for the fourth letter. For each of these letters, therefore 21 × 21 × 21 × 21 = 194481 possible pairs of letters.

There are 10 possibilities for the first digit & 10 possibilities for the second. therefore there are 10 x 10 = 100 different numbers.

Combining these results, it follows that there are 67194481 x 100 =  6719448100 different cards.

Hence, The possible cards can be made 6719448100.

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Your friend uses the figure to say that all the exterior angles of any isosceles triangle are congruent. Is your friend correct? Explain your reasoning

Answers

Answer:

All the exterior angles of any isosceles triangle are congruent - FALSE statement

Step-by-step explanation:

We know that the exterior angle of a triangle is the sum of remote interior angles.

If the triangle is equilateral then the sum of any two interior angles is same otherwise, with any isosceles triangle, we get different sums and therefore the friend is wrong.

Answer:

No.

Step-by-step explanation:

An isosceles triangle has two sides of equal length.  Therefore, only two of its interior angles are congruent.

The exterior angle of a triangle is equal to the sum of the two opposite interior angles (remote interior angles).  Therefore, as not all of the three interior angles of an isosceles triangle are congruent, all the exterior angles will also not be congruent.

solve the expression when a= 0.25 and b = -1
36a + 42b - 18a +6

Answers

The solution to the expression is -31.5

Algebraic expression

An algebraic expression in mathematical is statement that comprises of  numbers, variables, symbols and mathematical operators.

Given, when a= 0.25 and b = -1

Step 1: Substitute the given into the expression 36a + 42b - 18a +6

we have;  36(0.25) + 42(-1) - 18(0.25) +6

= 9 - 42 - 4.5 +6

Step 2; use BODMAS  to evaluate

we have; 9 - 42 - 4.5 +6= -31.5

Therefore the solution to the expression is -31.5

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Use the discriminant to determine the number of solutions for the following equation: \large 3x^2+4x-5=0 How many solutions does this equation have? a 1 real solution b 2 real solutions c infinite solutions d no real solutions

Answers

The number of solutions in the equation 3x² + 4x - 5=0 is (b) two real solutions

How to determine the number of solutions?

The equation is given as:

3x² + 4x - 5=0

A quadratic equation is represented as:

ax² +bx + c=0

Where the discriminant is:

d = b² - 4ac

So, we have:

d = 4² - 4 * 3 * -5

Evaluate

d = 76

If the discriminant is greater than 0, then the equation has 2 real roots.

Hence, the number of solutions is (b) two real solutions

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Pedro and Rebecca were trying to solve the equation:

0.1x^2 - 0.7x + 1.2 = 0
Pedro said, “I can multiply the entire equation by 10 and then factor. Then I can solve using the zero product property.”

Rebecca said, “I'll solve using the quadratic formula with a = 0.1 1, b = -0.7 and c = 1.2"

WHOs Strategy works?
A - Only Pedro's

B - Only Rebecca's

C - Both

D - Neither

Answers

The correct strategy between Pedro and Rebecca trying to solve the quadratic equation: 0.1x^2 - 0.7x + 1.2 = 0 is A - Only Pedro's

How to determine the correct strategy

The given function is a quadratic function which is solved by several method including the method both Pedro and Rebecca are trying to use

Pedro's method is the factorization method and the steps mentioned are correct

However Rebecca's method has some error

The equation is: 0.1x^2 - 0.7x + 1.2 = 0

factor of the leading coefficient a is 0.1, Rebecca is using 0.11

The error of using 0.11 instead of 0.1 will make the method ineffective

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x-intercept of (y+12) = 3(x - 9)

Answers

This problem equals 3

Answer: purple is the greatest

Drag the tiles to the correct boxes to complete the pairs.
Determine whether each pair of lines is perpendicular, parallel, or neither.
2y = 4x + 4
y=-2x-2
4y= 2x - 4
y=-2x+9
Perpendicular
Parallel
y = 2x+4
2y = 4x - 7
Neither

Answers

Answer:

neitherperpendicularparallel

Step-by-step explanation:

You want to know whether the pairs of equations describe lines that are parallel, perpendicular, or neither.

Parallel

Parallel lines have the same slope. When the equations are written in slope-intercept form, the coefficients of x are identical.

Perpendicular

Perpendicular lines have opposite reciprocal slopes. When the equations are written in slope-intercept form, the product of the x-coefficients is -1.

Application1. 2y = 4x +4; y = -2x -2

Solving the first equation for y gives ...

  y = 2x +2

The x-coefficients are 2 and -2, so the lines are neither parallel nor perpendicular.

2. 4y = 2x -4; y = -2x +9

Solving the first equation for y gives ...

  y = 2/4x -1 = 1/2x -1

The x-coefficients are 1/2 and -2, which have a product of -1. These lines are perpendicular.

3. y = 2x +4; 2y = 4x -7

Solving the second equation for y gives ...

  y = 2x -7/2

The x-coefficients are 2 and 2, which are identical. These lines are parallel.

Beverly has a bag of marbles that weighs 30 grams. She knows that each marble weighs 1.5 grams and the bag weighs 1.5 grams. Which equation could she use to determine how many marbles are in the bag? Select all that apply. (1.5)x + 1.5 = 30 30 – x = 2(1.5) (1.5)(30) = 1.5x 1.5 + x = 30 1.5x = 30 – 1.5

Answers

Answer:

1.5x = 30 - 1.5

Step-by-step explanation:

30 grams minus the weight of the bag 1.5

1.5x x is the number of marbles and the bag so take 1 out and you have an answer which is 28.5 19 marbles

75 less than the product of 30 and a number is -225. What is the number?

Answers

Answer:

The Number is -5

Step-by-step explanation:

We will form the Equation and solve for the Number

Let the Number be x

Product of 30 and a Number = 30x

75 less than the Product of 30 and a Number = 30x - 75

75 less than the Product of 30 and a Number is -225

Then 30x - 75 = -225

Now solve for x (the Number)

add 75 for both sides

30x = -225 + 75 = -150

Divide both sides by 30

x = -150 / 30 = -5

Glad to Help

The pH of solution measures its acidity and can be determined using the formula pH= -log(base of 10 )C, where is the concentration of hydronium ions in the solution. measured in moles per litre .A lower pH indicates a more acidic solution.
Determine whether the unknown liquid is more or less acidic then the coffee ( pH=-4.886)
if that liquid has 10 times the concentration ions of the coffee.

Answers

The pH of the liquid which is 3.886 indicates that it is more acidic than coffee.

What is the pH of a solution?

The pH of a solution gives a measure of the concentration of hydronium ions in the solution, and therefore, indicates the level of acidity or basicity of the solution.

pH = -㏒₁₀C

pH values ranges from 0 to 14, with solutions that are more acidic having a pH of less than 7, while basic solutions have a pH of more than 7.

The given pH of coffee = -4.886

The concentration of the liquid = 10 × The concentration of the ions in coffee

Which gives;

-㏒₁₀C = 4.886

Concentration of the hydronium ions in coffee, C = [tex]10^{(-4.886)}[/tex]

Concentration of ions in the unknown liquid = 10 ×  [tex]10^{(-4.886)}[/tex] = [tex]10^{(-3.886)}[/tex]

pH of the unknown liquid = [tex]-log_{10} \left(10^{(-3.886)}\right) = 3.886[/tex]

The pH of the unknown liquid indicates that it is more acidic than coffee

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I don’t know it and I need help. question is in picture

Answers

Answer QOR = 35

Step by step

Angle POQ = 24
Angle POR = 59

We are looking for QOR

Since POQ is adjacent to QOR and the two angles make up POR, we can subtract

POR - POQ = QOR

59 - 24 = 35

Write equations of the horizontal and vertical lines that pass through (2,3).
horizontal line:
vertical line:

Answers

Answer:

horizontal: y = 3vertical: x = 2

Step-by-step explanation:

You want the equations of the horizontal and vertical lines that pass through (2, 3).

Horizontal line

A horizontal line has an equation of the form ...

  y = c . . . . . for some constant c

The value of y is the same for every value of x.

To make such a line go through the point (2, 3), we must have ...

  y = 3

Vertical line

A vertical line has an equation of the form ...

  x = c . . . . . for some constant c

The value of x is the same for every value of y.

To make such a line go through the point (2, 3), we must have ...

  x = 2


HELP PLEASE!! Dominique is selling merchandise for a school fundraiser. She is selling calendars for $8 each and coffee mugs for $12 each. She must sell at least $800 of merchandise, including at least 60 calendars, to meet her goals.

If x represents the number of calendars and y represents the number of mugs, which system of inequalities represents this scenario?

8x + 12y ≥ 800 and x ≥ 60
8x + 12y ≥ 800 and y ≥ 60
8x + 12y > 800 and y > 60
8x + 12y > 800 and x > 60

Answers

The inequality that represents the given situation is option A 8x + 12y ≥ 800 and x ≥ 60.

Given,

The cost for one calendar = $8

The cost for one coffee mug = $12

Dominique must sell at least $800 of merchandise and it should include at least 60 coffee mugs.

Here,

x be the number of calendars and y be the number of coffee mugs;

We have to find an inequality which represents the given situation;

So,

The inequality be;

8x + 12y ≥ 800 and x ≥ 60

That is,

The inequality that represents the given situation is option A 8x + 12y ≥ 800 and x ≥ 60.

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math what does g =.................

Answers

The value of g after solving the expression, 5/2-2g = 5g/2-3+g, is 1.

According to the question,

We have the following expression:

5/2-2g = 5g/2-3+g

Now, moving the terms with the same variables on one side and the integers on another side.

Note that when we move any number of term from one side to another which is in addition or subtraction will result in change of the sign from minus to plus and plus to minus.

5/2+3 = 2g+5g/2+g

Taking 2 as the least common factor on the left hand side and right hand side:

(5+6)/2 = (4g+2g+5g)/2

11/2 = 11g/2

Now, 11/2 on the left hand side can be divided by 11/2 on the right hand side:

g = 1

Hence, the value of g is 1.

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A baseball team has three different pitchers. Randy allowed
2
22 runs and pitched
3
33 innings. Felix allowed
4
44 runs and pitched
5
55 innings. Johan allowed
5
55 runs and pitched
7
77 innings.
Which pitcher has the lowest number of runs allowed per inning?

Answers

The pitcher that has the lowest number of runs allowed per inning is Randy.

Which pitcher has the lowest number of runs per inning?

In order to determine the pitcher with the lowest number of runs per innings, divide the number of runs of each player by the number of innings of that player.

Division is the process of determining the quotient of two or more numbers. It is the process of putting a number into equal groups using another number.

Number of runs per innings = number of runs / number of innings

Number of runs per innings for Randy : 2 / 3 = 0.667

Number of runs per innings for Felix : 4 / 5 = 0.80

Number of runs per innings for Johan: 5 / 7= 0.714

Here is the complete question:

A baseball team has three different pitchers. Randy pitched 3 innings and allowed 2 runs, Felix pitched 5 innings and allowed 4 runs, and Johan pitched 7 innings and allowed 5 runs.

Which pitcher has the lowest number of runs allowed per inning?

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Select all the terms which are equivalent to the slope in a proportional relationship. greg, a young entrepreneur, has developed an aggressive business plan and is presenting his profit projections on the popular show shark tank in hopes of securing some venture capital. he concludes his presentation with an lp model of his planned product mix, and is convinced he will seal the deal by demonstrating that his profits are limitless since his lp model is unbounded. what should the sharks tell him? I need help please the nurse is explaining to new parents the various vaccinations their newborn will receive before being discharged home. which immunization should the nurse teach the parents about that will help decrease the incidence of hepatic disease later in life? What is the sign of 37 + (-37)? the dimensions of a rectangle are 5x-7 and 2x-1. what is the perimeter?please help fast! in its daily prowl of the neighborhood, a cat makes a dis- placement of 120 m due north, followed by a 72-m displace- ment due west. (a) find the magnitude and direction of the dis- placement required for the cat to return home. (b) if, instead, the cat had first prowled 72 m west and then 120 m north, how would this affect the displacement needed to bring it home? explain. Find the slope of the line that passes through (2, 1) and (7, 8). Your journal why do so many americans believe that car payments are just a normal way of life?. a sample of ethanol, c2h6o, has a mass of 72.75 g. calculate the number of ethanol molecules in the sample Which letter is which an executive prepares for retirement by depositing $9000 into an annuity each year for 10 years. the annuity earns 5.9% per year. find the future value of the annuity at the end of 10 years. (round your final answer to two decimal places.) According to the consumer behavior model presented in the text, the ________ includes the shopping experience, point-of-purchase stimuli, and sales interactions. Ahmeds teacher has set up a Geiger-Mueller tube to detect nuclear radiation. She has not yet started to get out the schools nuclear radiation sources. Ahmed notices there is a low count rate on the detector. State the name for this normal, low-level measurement. a patient with deep vein thrombosis is receiving an intravenous (iv) heparin infusion. he asks the nurse how this medication will help him. the nurse's response is accurately based on which concept? after encountering a network attack in your enterprise network, the chief network security engineer assigned you a project. the project was to create a vulnerable network that is similar to your enterprise network and entices the threat actor to repeat the attack. this is to analyze the behavior and techniques the attacker is using to ensure better defenses to your enterprise network in the future. which of the following appliances should you use? a.you should use a honeynet b.you should set up network access control. c.you should use a proxy server. d.you should set up behavioral ids monitoring. your organization plans to collect telemetry data from 1,000 internet of things (iot) devices spread across its campus. you need to recommend an azure solution that enables you to process the telemetry stream before transferring the data to azure. what should you recommend? Can anyone write the equation of the graph? Please Help! Solve for x: -18x = 108Show your work a client with peptic ulcer disease is experiencing fewer symptoms because of suppression of hydrochloric acid secretion into the lumen of the stomach. what category of medication is this client most likely receiving?