Find the value of 83 - [59 - (22 - 18)].

Answers

Answer 1

Answer:

28

Step-by-step explanation:

83 - [59 - (22-18)]

= 83 - [59 - 4]

= 83 - 55

= 28


Related Questions

in a right angle triangle h is 24 . perimeter 45. find both side

Answers

Answer:

The length of each side is 10.5

Step-by-step explanation:

If you mean h as in the hypotenuse:

perimeter= 45    side h= 24    find x

45 - 24 = 2x

21 = 2x

/2     /2

10.5 = x

Number #7 please I need help on it

Answers

Answer: 104$

Explanation:

She is paid 7$ for each of the first 7 demo

And she is paid 11$ for each demo over the 7 demo

But she did 12 demo, which mean the first 7 demo she got paid 7$ each and for the last 5 demo she got paid 11$ for each demo.

(7 • 7) + (11 • 5)
= 49 + 55
= 104$

Translate (in terms of x) then solve the algebraic equation. When the sum of a number and 2 is subtracted from 13 the result is 8

Answers

13 - (x+2) = 8
subtract 13 from both sides
-(x+2) = -5
divide by -1 to get rid of negative
(x+2) = 5
subtract 2 from both sides
x=3

Select the correct answer.
Terrell is moving boxes in a freight elevator. Each box weighs about 25 pounds. For safety reasons, a maximum of 600 pounds can be on
the elevator at one time, including Terrell and his equipment at a total of 225 pounds.
Which graph represents the number of boxes Terrell can load into the freight elevator at one time?

Answers

Answer:

The third one

Step-by-step explanation:

600-225 (the weight of Terrell and his equipment)

=375

375/25(weight of each box)

=15

the circle is close because it can be exactly 15 or or less.

Answer:

actually is 2

Step-by-step explanation:

its not 1 or 3, its 2 I did clicked 3 got it wrong then I clicked one and got it wrong, its 2

Think of a problem dealing with two possibly related variables (Y and X) that you may be interested in. Share your problem and discuss why a regression analysis could be appropriate for this problem. Specifically, what statistical questions are you asking? Why would you want to predict the value of Y? What if you wanted to predict a value of Y that’s beyond the highest value of X (for example if X is time and you want to forecast Y in the future)?

Answers

Answer:

Explained below.

Step-by-step explanation:

Consider the variables height and weight.

It is usually seen that taller people are heavier than shorter people.

So a regression analysis can be used to specify this belief.

The statistical questions that are being asked here are:

What the independent and dependent variables?Are there any other factor influencing the dependent variable other than the independent variable?

The variable Y is considered as the dependent variable and the variable Y is considered as the independent variable.  And the main purpose of the regression analysis is to predict the value of Y when the value of X is given.

The linear regression model can be used to predict the past and future value of the dependent variables provided that the independent variables for those times are provided.

What is the value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8? 20 32 44 48

Answers

Answer:

the answer is c: 44

hope it helps

:)

The value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8 is 44.

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

The equation form;

1/2m - 3/ 4n = 16

Substituting the value of n in the equation, we have;

½m - ¾n = 16

½m - (¾×8) = 16

½m - 6 = 16

½m = 16 + 6

½m = 22

m = 44

Hence, The value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8 is 44.

Learn more about linear equations;

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Graph the image of the given triangle after the transformation with the rule (x, y)→(y, x). Select the "Polygon" button from the tool bar to plot your triangle. You may use the "Move" button to move the triangle after it is created.

Answers

Answer:

Your coordinates would be:

(1,8) (1,5) (5,8)

Hope this helps!

Answer:

Actually its (1,8) (1,5) (6,8)

Step-by-step explanation:

The red part is incorrect, the orange is the correct one. I got it wrong.

Which of the following sets are equal to {x | x < 9 and x >2}

Question 2 options:

{3, 4, 5, 6, 7, 8}


{2, 3, 4, 5, 6, 7, 8, 9}


{8, 7, 6, 5, 3}


{ }


{2, 3, 4, 5, 6, 7}

Answers

Answer:

{3, 4, 5, 6, 7, 8} and {8, 7, 6, 5, 3}

Step-by-step explanation:

The sets {3, 4, 5, 6, 7, 8} and {3, 4, 5, 6, 7, 8} will be constraint through {x | x < 9 and x >2} so option (A) and (C) will be correct.

What is an set?

A set is a combination of specific quantities in which the meaning of each variable must be the same.

For example {1,2,3,4,5,6...} is a set of natural numbers in which each variable is representing a natural number so the overall meaning is the same among all.

Another example could be a set of the whole number like that.

Given the constraint

{x | x < 9 and x >2}

It means x should be greater than 2 and less than  9

So all possible values are

3,4,5,6,7,8

Now set associated with these number is {3, 4, 5, 6, 7, 8} and {8, 7, 6, 5, 3}.

Hence "The sets {3, 4, 5, 6, 7, 8} and {3, 4, 5, 6, 7, 8} will be constraint through {x | x < 9 and x >2}".

To learn more about the sets,

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Use the map below to find the distance between cities A and B to the nearest tenth.

Answers

Answer:

7.8

Step-by-step explanation:

Answer:

The answer is 3.6

Step-by-step explanation:

d=[tex]\sqrt{(2-0)^{2}+(3-0)^{2} }[/tex]

d=[tex]\sqrt{(2)^{2}+(3)^{2} }[/tex]

d=[tex]\sqrt{4+9}[/tex]

d=[tex]\sqrt{13}[/tex]

d=3.6

I need help ASAP. I need help can someone explain and can anyone tell me the answer please . I’ll give u anything u want

Answers

Answers:Domain:  [tex](-\infty, \infty)[/tex] which is the set of all real numbersRange: [tex][3, \infty)[/tex] which is the set of y values such that [tex]y \ge 3[/tex]x intercepts: noney intercept:  only one y intercept and it is at (0,7) this is ordered pair notation and not interval notationInterval positive: [tex](-\infty, \infty)[/tex]Interval negative: noneInterval increasing: [tex](-2, \infty)[/tex]Interval decreasing: [tex](-\infty, -2)[/tex]Average rate of change over [-2,0] is 2

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

Explanation:

The domain is the set of all real numbers. This is because the graph goes on forever to the left and right. We can use any x value we want as an input. There are no restrictions to worry about such as to prevent dividing by zero errors.

To say "all real numbers" in interval notation, we write [tex](-\infty, \infty)[/tex] which is another way of saying [tex]-\infty < x < \infty[/tex]

-------------------

The range in interval notation is [tex][3, \infty)[/tex] since y = 3 is the smallest y output possible, and we could have larger y values as well. So basically [tex]y \ge 3[/tex] can be used to describe the range without saying much else.

Note the use of a square bracket to include 3 as part of the interval.

-------------------

There are no x intercepts because this graph does not cross the x axis. The lowest point is at (-2,3) so there's no way we could reach y = 0. Put another way, y = 0 is not part of the range so we cannot have any x intercepts.

There is one y intercept and it is at (0,7) where the graph crosses the y axis. For any function, the max number of y intercepts is 1.

-------------------

When it says "interval positive", its asking "which part(s) of the graph are above the x axis?". That would be the entire graph meaning we have the interval [tex](-\infty, \infty)[/tex]. Every point on this V shaped curve is of the form (x,y) where y is positive.

So this means that we do not have any points with a negative y value, and therefore the answer to "interval negative" is none.

-------------------

Now onto the "interval increasing". This is similar to the previous section, but now we're looking when the graph is going uphill as we read from left to right. This happens on the interval [tex](-2, \infty)[/tex] or put another way when x > -2.

The graph goes downhill whenever x < -2. So that's why the answer for the "interval decreasing" is [tex](-\infty, -2)[/tex]

-------------------

Note the points (-2,3) and (0,7) are on the V shaped graph. These points have x coordinates of x = -2 and x = 0, which are the endpoints of the interval we're focusing on.

Compute the slope of the line through those two points

m = (y2-y1)/(x2-x1)

m = (7-3)/(0-(-2))

m = (7-3)/(0+2)

m = 4/2

m = 2

The positive slope means the line goes uphill as we read from left to right

The average rate of change on the interval [-2, 0] is the value 2

In other words, we go up 2 units each time we move to the right 1 unit.

find the measure of angle C in the parallelogram. Round your answer to the nearest degree​

Answers

Answer:

75°

Step-by-step explanation:

In a parallelogram, any two adjacent angles are supplementary. In other words, they total 180.

Angle D and Angle E are adjacent. Thus, they are supplementary. In other words:

[tex]\angle D +\angle E =180[/tex]

Substitute them for the equations:

[tex]7x+21+15+5x=180[/tex]

Combine like terms and add on the left:

[tex]12x+36=180[/tex]

Subtract 36 from both sides:

[tex]12x=144[/tex]

Divide both sides by 12:

[tex]x=12[/tex]

Thus, the value of x is 12.

Note that Angle D and Angle C are also adjacent. Thus, their angles also equal 180.

So:

[tex]\angle D+\angle C =180[/tex]

Substitute the equation for D:

[tex]7x+21+\angle C=180[/tex]

Plug in 12 for x:

[tex]7(12)+21+\angle C =180[/tex]

Simplify:

[tex]84+21+\angle C =180\\105+\angle C =180[/tex]

Subtract 105 from both sides:

[tex]\angle C =75\textdegree[/tex]

Thus, Angle C is 75 degrees.

please help me i will mark brainliest

Answers

Answer:

  see below

Step-by-step explanation:

The cube of something to the 1/3 power is the original something. The cube of a cube root of something is the original something. Since the cube of a cube root is the same as the cube of a 1/3 power, the 1/3 power is equivalent to the cube root.

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

Use the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence interval of when estimating the mean height​ (in centimeters) of a sample of seedlings. The estimated margin of error is nothing. The sample mean is nothing.

Answers

Complete Question

A biologist reports a confidence interval of (3.5,4.9) when estimating the mean height (in centimeters) of a sample of seedlings. What is the estimated margin of error and the sample mean?

Answer:

The  margin of error is  [tex]E = 0.7[/tex]

The  sample mean is  [tex]\= x = 4.2[/tex]

Step-by-step explanation:

from the question we are told that

   The  upper limit is  [tex]k = 4.9[/tex]

    The  lower limit is  [tex]r = 3.5[/tex]

Generally the margin of error is mathematically represented as

      [tex]E = \frac{k - r}{ 2}[/tex]

      [tex]E = \frac{ 4.9 - 3.5 }{2}[/tex]

     [tex]E = 0.7[/tex]

Generally the sample mean is mathematically evaluated as

        [tex]\= x = k - E[/tex]

=>    [tex]\= x = 4.9 - 0.7[/tex]

=>    [tex]\= x = 4.2[/tex]

The domain and target set of functions f and g isR. The functions are definedas:(b)•f(x) = 2x+ 3•g(x) = 5x+ 7(a)f◦g?(b)g◦f?(c) (f◦g)−1?(d)f−1◦g−1?(e)g−1◦f−1?

Answers

Answer:

Step-by-step explanation:

Given the domain and target set of functions f and g expressed as;

f(x) = 2x+3 an g(x) = 5x+7 we are to find the following;

a) f◦g

f◦g = f[g(x)]

f[g(x)] = f[5x+7]

To get f(5x+7), we will replace the variable x in f(x) with 5x+7 as shown;

f(x) = 2x+3

f(5x+7) = 2(5x+7)+3

f(5x+7) = 10x+14+3

f(5x+7) = 10x+17

Hence f◦g = 10x+17

b) g◦f

g◦f = g[f(x)]

g[f(x)] = g[2x+3]

To get g(2x+3), we will replace the variable x in g(x) with 2x+3 as shown;

g(x) = 5x+7

g(2x+3) = 5(2x+3)+7

g(2x+3) = 10x+15+7

g(2x+3) = 10x+22

Hence g◦f = 10x+22

c) For (f◦g)−1 (inverse of (f◦g))

Given (f◦g) = 10x+17

To find the inverse, first we will replace (f◦g) with variable y to have;

y = 10x+17

Then we will interchange variable y for x:

x = 10y+17

We will then make y the subject of the formula;

10y = x-17

y = x-17/10

Hence the inverse of the function

(f◦g)−1 = (x-17)/10

d) For the function f−1◦g−1

We need to get the inverse of function f(x) and g(x) first.

For f-1(x):

Given f(x)= 2x+3

To find the inverse, first we will replace f(x) with variable y to have;

y = 2x+3

Then we will interchange variable y for x:

x = 2y+3

We will then make y the subject of the formula;

2y = x-3

y = x-3/2

Hence the inverse of the function

f-1(x) = (x-3)/2

For g-1(x):

Given g(x)= 5x+7

To find the inverse, first we will replace g(x) with variable y to have;

y = 5x+7

Then we will interchange variable y for x:

x = 5y+7

We will then make y the subject of the formula;

5y = x-7

y = x-7/5

Hence the inverse of the function

g-1(x) = (x-7)/5

Now to get )f−1◦g−1

f−1◦g−1 = f-1[g-1(x)]

f-1[g-1(x)] = f-1(x-7/5)

Since f-1(x) = x-3/2

f-1(x-7/5) = [(x-7/5)-3]/2

= [(x-7)-15/5]/2

= [(x-7-15)/5]/2

= [x-22/5]/2

= (x-22)/10

Hence f−1◦g−1 = (x-22)/10

e) For the composite function g−1◦f−1

g−1◦f−1 = g-1[f-1(x)]

g-1[f-1(x)] = g-1(x-3/2)

Since g-1(x) = x-7/5

g-1(x-3/2) = [(x-3/2)-7]/5

= [(x-3)-14)/2]/5

= [(x-17)/2]/5

= x-17/10

Hence g-1◦f-1 = (x-17)/10

48+4^2+3/5
Help me it asks to evaluate

Answers

Answer:

325/3

Step-by-step explanation:

[tex]48+4^2+\frac{3}{5}\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:48=\frac{48\cdot \:5}{5}\\\\=\frac{48\cdot \:5}{5}+\frac{3}{5}\\\\\mathrm{Since\:the\:denominators\:are\:equal,\\\\\:combine\:the\:fractions}:\\\\\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{48\cdot \:5+3}{5}\\\\48\cdot \:5+3=243\\\\=4^2+\frac{243}{5}\\\\=16+\frac{243}{5}\\\\=\frac{16\cdot \:5}{5}+\frac{243}{5}\\\\=\frac{16\cdot \:5+243}{5}\\\\16\cdot \:5+243=323\\\\=\frac{323}{5}[/tex]

If LN=3+8x, find LN

L•——–8•——M——6x-1——–•N

Answers

Answer:

Value of LN = 19 units

Step-by-step explanation:

Given:

LN = 3 + 8x

Find:

Value of LN

Computation:

We know that LM + MN = LN

So,

8 + 6x - 1 = LN

So,

3 + 8x = 8 + 6x - 1

3 + 8x = 7 + 6x

8x - 6x = 7 - 3

2x = 4

x = 2

So,

LN = 3 + 8x

LN = 3 + 8(2)

LN = 3 + 16

LN = 19

Value of LN = 19 units

QUIZ 2: Learning about
The symbols used to enclose the elements of a set are called:

parenthesis
braces
commas.

Answers

Paranthesis (if those are the answer choice)

5/8 dived by 3/5

Help please

Answers

Answer:

5/6

Step-by-step explanation:

you must flip 3 over 5 and multiply

johnny makes $8.25 an hour working at the local restaurant his paycheck shows that he works 29.5 hours for the past week how much did Johnny make not rounded to the nearest cent A: $232.125 B: $243.375 C: $247.525 D: $248.625 NEED ANSWERS ASAP

Answers

Answer:

$243.375

Step-by-step explanation:

multiply 8.25 by 29.5

To do this you can do (pay) x (hours) to work out how much Johnny makes for example:
8.25 x 29.5 = 243.375$ so the answer is 243.375$

Find the value of z.

Answers

Answer:

C. [tex] z = 82 [/tex]

Step-by-step explanation:

To find z, find x first:

[tex] 105 = \frac{1}{2}(x + 120) [/tex] (angle of intersecting chord theorem)

Solve for x

[tex] 105*2 = \frac{1}{2}(x + 120)*2 [/tex]

[tex] 210 = x + 120 [/tex]

[tex] 210 - 120 = x + 120 - 120 [/tex]

[tex] 90 = x [/tex]

[tex] x = 90 [/tex]

Find z:

Full circle = 360°

Therefore,

[tex] x + z + 68 + 120 = 360 [/tex]

[tex] 90 + z + 68 + 120 = 360 [/tex]

[tex] z + 278 = 360 [/tex]

[tex] z + 278 - 278 = 360 - 278 [/tex]

[tex] z = 82 [/tex]

Will mark the brainliest!!!!

Answers

Answer:

options a is correct

4/7 likely

Probability = Favourable outcomes/ Total outcomes

All outcomes that we have are = 1,2,3,4,5,6,7,8

Total outcomes are 8 .

Favourable outcomes are = 1,3,5,7

→ Favourable outcomes are 4.

P(odd) = 4 divided by 8

P( odd) is 1/2 , 50% , equally likely.

So option 2nd is correct .

Is (5,2) a solution of the graphed system of inequalities

Answers

Answer:

yes

Step-by-step explanation:

The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed and the parameter that is being tested. H0: σ = 8.6 H1: σ < 8.6

Answers

Answer:

Test is Left tailed test

Parameter tested is standard deviation

Step-by-step explanation:

We are given the hypothesis as;

Null hypothesis; H0: σ = 8.6

Alternative hypothesis; H1: σ < 8.6

Where;σ is a constant generally known in statistics as the standard deviation.

Now, it's the alternative hypothesis that will let us know whether this is left tailed, right tailed or two tailed.

Alternative hypothesis says σ < 8.6.

This means that the values of σ that satisfy this hypothesis are less than 8.6 and thus are on the left hand side of 8.6 on a number line. Thus, the shaded region in a normal distribution curve will be on the left.

Thus, it's a left tailed test

Which graph represents the function p(x) = |x – 1|?

Answers

Answer:

it is this graph

Step-by-step explanation:

it is this graph

Answer:

B

Step-by-step explanation:

Suppose an operator handles 10 calls. What is the probability that none of the 10 calls result in a reservation?

Answers

Question:

Approximately 30% of the calls to an airline reservation phone line result in a reservation being made.  Suppose that an operator handles 10 calls. What is the probability that none of the 10 calls result in a reservation?

Answer:

[tex]Probability = 0.028[/tex]

Step-by-step explanation:

Given

Represent probability of reservation with p and Number of calls  with n

[tex]n= 10[/tex]

[tex]p = 30\%[/tex]

First, we need to convert p to decimal

[tex]p = \frac{30}{100}[/tex]

[tex]p = 0.30[/tex]

In probability; opposite probability add up to 1;

In other words,

[tex]p + q = 1[/tex]

Where q represents probability of no reservation

Substitute 0.30 for p

[tex]0.30 + q = 1[/tex]

[tex]q = 1 - 0.30[/tex]

[tex]q = 0.70[/tex]

The probability that out of the 10 calls, no reservation is made is calculated as;

[tex]Probability = q^n[/tex]

[tex]Probability = 0.70^{10}[/tex]

[tex]Probability = 0.0282475249[/tex]

[tex]Probability = 0.028[/tex]  (Approximated)

Find the length of UW(with a line over it) if W is between U and V, UV = 16.8 centimeters, and VW = 7.9 centimeters.
Please explain as well.

Answers

Answer:

8.9 is the answer i just took the test

Estimate the value of each each expression to the nearest integer

Answers

Answer:

Step-by-step explanation:

14. 2

15. 3

16. -5

17. -11

Write the answer in standard form: (−5x^4 + 6x^3 − 43) + (6x^5 − x^2 + 12x + 12) Please Show work

Answers

Answer:

The answer in standard form to the given expression is 6x⁵ - 5x⁴ + 6x³ - x² + 12x - 31

Step-by-step explanation:

(-5x⁴ + 6x³ - 43) + (6x⁵ - x² + 12x + 12)

Combine like terms. When the problem says to put the equation in standard form, it means that the terms will go in order from greatest to least exponential number.

6x⁵ - 5x⁴ + 6x³ - x² + 12x - 31

Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the die will be 6?

Answers

Answer:

6/36 (16.667%)

Step-by-step explanation:

Answer:

5/36

Step-by-step explanation:

Determine the total annual FICA tax for an annual salary of $38,480 A $294.37 B $717.96 C $2,385.76 D $2,943.72

Answers

Answer:

D

Step-by-step explanation:

The total annual FICA tax for an annual salary of $38,480 is D $2,943.72.

FICA tax comprise of Social security tax + Medicare tax

Where:

Social security tax=6.2%Medicare tax=1.45%FICA tax =7.65%

Hence:

FICA tax=($38,480×6.2%)+($38,480×1.45%)

FICA tax=$2,385.76+$557.96

FICA tax= $2,943.72

Inconclusion the  total annual FICA tax for an annual salary of $38,480 is D $2,943.72.

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You and your family attend a Broadway show in New York City. The show begins at6:58pm and ends at 9:46pm. How many seconds long is the show? Please help to write the following The ratio of people who walk to school to people ride the bus to school is 1:7. If there are 13 walkers, how many students ride the bus? Casey wants to buy some instruments for his niece and nephew. He has $40 to spend. Based on the prices listed below, what is the estimated total, rounded to the nearest dollar? Which explains why he can afford the tambourine and xylophone? Tambourine: $13.95 Xylophone $23.50The estimated total to the nearest dollar is $38, so he can afford them. The estimated total to the nearest dollar is $37, so he can afford them. The estimated total to the nearest dollar is $36, so he can afford them. The estimated total to the nearest dollar is $37.45, so he can afford them. Kimbeth Manufacturing uses a process cost system to manufacture dust density sensors for the mining industry. The following information pertains to operations for the month of May. Units Beginning workinprocess inventory, May 1 16,000 Started in production during May 100,000 Completed production during May 92,000 Ending workinprocess inventory, May 31 24,000 The beginning inventory was 60% complete for materials and 20% complete for conversion costs. The ending inventory was 90% complete for materials and 40% complete for conversion costs. Costs pertaining to the month of May are: Beginning inventory costs are: materials, $54,560; direct labor, $20,320; and factory overhead, $15,240. Costs incurred during May are: materials used, $468,000; direct labor, $182,880; and factory overhead, $391,160. Using the weightedaverage method, the equivalent unit conversion cost for May is: 1. Write the interval shown on the number linebelow3 4 5 6 7 8as an inequalityusing set notation What is the main theme of the poem Amen By James Baldwin What is the most consumed/eaten fruit????????? AP STATISTICS! What theory offers a description of submicroscopic properties of matter and connects them to observable macroscopic properties? (I) A car slows down from 28 m????s to rest in a distance of 88 m. What was its acceleration, assumed constant? When John mom went grocery shopping she bought 5 cans of corn for $1.00 each she bought 4 cases of water for $4.00 she also bought 4 pounds of meat for $2.00 per pound she paid with$30.00 how much change did she have? Read the following excerpt from The Jungle Book by Rudyard Kipling. The Law of the Jungle, which never orders anything without a reason, forbids every beast to eat Man except when he is killing to show his children how to kill, and then he must hunt outside the hunting-grounds of his pack or tribe. The real reason for this is that man-killing means, sooner or later, the arrival of white men on elephants, with guns, and hundreds of brown men with gongs and rockets and torches. Then everybody in the jungle suffers. The reason the beasts give among themselves is that Man is the weakest and most defenseless of all living things, and it is unsportsmanlike to touch him. They say tooand it is truethat man-eaters become mangy, and lose their teeth. What is the most important purpose of the narrator in this excerpt? to explain that human beings are the weakest of all the animals in the jungle to explain why Shere Khan will kill a human being instead of another animal to explain why the animals of the jungle typically do not kill human beings to explain how seriously all of the animals take the Law of the Jungle Define water hammer. Give four effects of water hammer. what mass of zinc will react with 2.0 L of 0.25 M hydrochloric acid? What influenced American colonists to support independence from Great Britian? How do you think business owners determine how much of each of their products to make? Two boys earn money mowing lawns. Jacob mowed 12 lawns this week. He mowed 3 times as many lawns as Kevin mowed. In which equation does the box represent the number of lawns Kevin mowed? The area of a rectangular garden is given by the trinomial x2 + x 42. What are the possible dimensions of the rectangle? Use factoring. If this is a p1000 micropipette, then this is set to dispense [ Select]ul. If this is a p10micropipette, then this is set to dispense [ Select ]ul. The following data applies to a particular item of merchandise: On hand at start of period 300 $5.10 1st purchase 500 5.20 2nd purchase 700 5.30 3rd purchase 600 5.50 Number of units available for sale 2,100 On hand at end of period 500 Number of units sold during period 1,600 Of the 1,600 units sold during the period, 300 were from the beginning inventory; 500 from the first purchase; 600 from the second purchase; and 200 from the last purchase. Using the weighted-average costing method and rounding the average unit cost to the nearest whole cent, the value of the inventory on hand at the end of the period would be