A contractor better job at $750 for materials plus $43 per hour for labor. The total cost for the job can be modeled by C= 43H+ 750$.
Find the number of hours that he has for the job if the owner would like the total cost to be under $2000, rounded to the nearest hour.

Answers

Answer 1

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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Related Questions

PLEASE HELP WILL MARK BRAINLIEST! PLEASE GIVE A LONG EXPLANATION!

Answers

Answer:

Both are incorrect

Step-by-step explanation:

In the right triangle ΔABC, ∠ABC = 90 and two angles = 45,

∠ACB = ∠BAC = 45

Therefore, the sides opposite to these angles are equal

⇒ x = z

By  Pythagorean theorem,

x² + z² = y²

⇒ x² + x² = y²

⇒ 2x² = y² -----eq(1)

In the right triangle ΔABD,

∠ADB = 90

∠BAD = 45 (since ∠BAC = 45)

⇒ ∠ABD = 180 - 90 - 45

⇒ ∠ABD = 45

Since ∠BAD = ∠ABD = 45, the sides opposite to these angles are equal

⇒ AD = 3

Also since ΔABC is an isoceles triangle, BD bisects AC

⇒ AD = DC = AC/2 = y/2

⇒ y/ 2 = AD

⇒ y = 2AD

⇒ y = 2(3)

y = 6

From eq(1)

2x² = y²

⇒ 2x² = 6²

⇒ x² = [tex]\frac{6^2}{2}[/tex]

⇒ [tex]x = \sqrt{\frac{6^2}{2} }[/tex]

⇒[tex]x = \frac{6}{\sqrt{2} }[/tex]

and

[tex]z= \frac{6}{\sqrt{2} }[/tex]

If 5x = 1/5 then x = ?

A. 2
B. -1
C. -0.2
D. 1

Answers

The value of x in the given expression is 1/25

Given the expression :

5x = 1/5

To solve for x, we make x the subject of the expression

5x = 1/5

multiply both sides by 5

25x = 1

divide both sides by 25 to isolate x

x = 1/25

Therefore, the value of x in the expression is 1/25

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Here is a table of values for y= f(x).
x -2 -1 0 1 2 3 4 5 6
f(x) 5 6 7 8 9 10 11 12 13
Mark the statements that are true.
A. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6).
B. The range for f(x) is all real numbers.
C. f(-1) = 6
D. f(5) = -2​

Answers

The statements that are true are:

A. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6).

C. f(-1) = 6

To determine the truth of each statement, we need to analyze the given table of values for the function f(x).

A. The domain for f(x) is the set {-2, -1, 0, 1, 2, 3, 4, 5, 6).

The x-values listed in the table are -2, -1, 0, 1, 2, 3, 4, 5, and 6. These are the inputs for the function, and therefore, they represent the domain of f(x). Thus, statement A is true.

B. The range for f(x) is all real numbers.

Looking at the y-values listed in the table for f(x), we can see that the range of f(x) is from 5 to 13. It does not include all real numbers, so statement B is false.

C. f(-1) = 6

From the table, we can see that when x = -1, f(x) = 6. Thus, statement C is true.

D. f(5) = -2

There is no entry in the table for f(5), so we cannot determine the value of f(5) from the given information. Therefore, statement D is false.

In conclusion, the true statements are A and C.

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two third of 15 is equal to 2/5 of what number?
A. 20
B. 12
C. 25
D. 60

Answers

C because 2/3 of 15 is 10 and 2/5 of 25 is 10

2. Bob said 5 x 800 = 400. Explain his error.​

Answers

Answer:

Step-by-step explanation:

Bob made a little mistake there. 5 multiplied by 800 is actually equal to 4,000.

Combine like terms to create an equivalent expression.
7.4z-5(-1.6z+2.4)

Answers

The equivalent expression after combining like terms is 15.4z - 12.

To combine like terms and simplify the given expression, let's distribute the -5 to the terms inside the parentheses and then combine the like terms:

Expression: 7.4z - 5(-1.6z + 2.4)

Distributing -5 to the terms inside the parentheses:

7.4z - 5(-1.6z) - 5(2.4)

Simplifying the distributed terms:

7.4z + 8z - 12

Combining the like terms:

(7.4z + 8z) - 12

(7.4 + 8)z - 12

15.4z - 12

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subtraction 8(1/2)-2(2/3)

Answers

Answer:

Exact Form:

35/6

Decimal Form:

5.83

Mixed Number Form:

5 5/6

Answer:8/3

Step-by-step explanation:

4-4/3

=12-4/3

=8/3

Khalid wrote the sequence below.


x-1,-2x+2,4x-4,-8x+8


Which formula can be used to find the 10th term of the sequence?

Answers

The formula to find the 10th term of the sequence is -512(x-1).

How to find sequence

The given sequence is generated by starting with the term x-1 and then multiplying each term by -2 to get the next term.

Therefore, the nth term of the sequence can be expressed as:

[tex](-2)^(n-1) * (x-1)[/tex]

To find the 10th term of the sequence, we substitute n = 10 into the formula

[tex](-2)^(10-1) * (x-1) = (-2)^9 * (x-1)[/tex]

= -512(x-1)

So the formula to find the 10th term of the sequence is -512(x-1).

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Simplify the product need help ASAP!!

Answers

The algebraic expression (3x² - 6x)/(x² - 6x + 9) × (x² - x - 6)/(x² - 4) can be simplified to give 3x/(x - 3) which makes the option D correct.

Simplifying Algebraic expression

Simplification of an algebraic expressions is the process of writing an expression in the most efficient and compact way, that is in their simplest form, without changing the value of the original expression.

Simplifying the algebraic expression we have:

(3x² - 6x)/(x² - 6x + 9) × (x² - x - 6)/(x² - 4)

by factorization;

3x² - 6x = 3x(x - 2)

x² - 6x + 9 = (x - 3)(x - 3)

x² - x - 6 = (x - 3)(x + 2)

x² - 4 = (x + 2)(x - 2)

(3x² - 6x)/(x² - 6x + 9) × (x² - x - 6)/(x² - 4) = 3x(x - 2)/(x - 3)(x - 3) × (x - 3)(x + 2)/(x + 2)(x - 2)

cancel out common factors we have;

(3x² - 6x)/(x² - 6x + 9) × (x² - x - 6)/(x² - 4) = 3x/(x - 3)

Therefore, the algebraic expression (3x² - 6x)/(x² - 6x + 9) × (x² - x - 6)/(x² - 4) can be simplified to give 3x/(x - 3)

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Solve for x

8,10,12,3

Answers

Answer:

10

Step-by-step explanation:

2x = 2(-10 + 2x)

x = -10 + 2x

-x = -10

x = 10

Answer:

10

Step-by-step explanation:

Multiply the smaller line by 2

which is RS

2x = -20 + 4x

-2x = -20

x = 10

What is the range of the function y=e^4x

Answers

The function [tex]y = e^4x[/tex] has a range of (0,∞). Here's why: The range of a function is the set of all possible output values.

To determine the range of a function, you must examine its graph or find the output for every input value.

In this case, [tex]y = e^4x[/tex] is an exponential function with a base of e, which is a constant that is approximately equal to 2.71828.

The exponential function [tex]y = e^x[/tex] is always positive.

Therefore, [tex]y = e^4x[/tex] will also be positive for all values of x.

As a result, the function's range will start at 0 and continue up to positive infinity, but will not include 0.This can be shown by graphing the function or plugging in various values of x to see what output values result. However, by knowing the properties of exponential functions, you can determine the range of[tex]y = e^4x[/tex] without graphing it.

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Determine the value of x in the equation. five sevenths times the quantity x plus 2 end quantity minus three sevenths times x equals two sevenths times the quantity x plus 5 end quantity

PLS HURRRY NEED THIS DUE BY 12 PM EDT

Answers

The equation does not have a unique solution for x. It is true for any value of x.

The given equation is:

(5/7)(x + 2) - (3/7)x = (2/7)(x + 5)

To solve for x, we'll first simplify both sides of the equation using the distributive property and combining like terms:

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

Simplifying further:

(5/7)x + 10/7 - (3/7)x = (2/7)x + 10/7

Next, we'll collect the x terms on one side and the constant terms on the other side of the equation:

(5/7)x - (3/7)x - (2/7)x = 10/7 - 10/7

Combining like terms:

[(5/7) - (3/7) - (2/7)]x = 0

Simplifying further:

(0/7)x = 0

Any value of x will satisfy this equation since (0/7)x will always be zero.

Therefore, the equation does not have a unique solution for x. It is true for any value of x.

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A manufacturer of light-emitting diode (LED) lights has tested its lights and found that the percent chance P that a light will fail after t hrs of use can be approximated by the following.
P = 100(1/2)^t/30,000

(a)
What is the percent chance that one of the company's LED lights will fail after 20,000 hrs? Round to the nearest tenth.


(b)
In how many hours will the chance of an LED light failing reach 40%? Round to the nearest thousand.

Answers

[tex]P=100\left( \frac{1}{2} \right)^{\frac{t}{30000}} \\\\[-0.35em] ~\dotfill\\\\ \boxed{A}\\\\ t=20000\hspace{5em}P=100\left( \frac{1}{2} \right)^{\frac{20000}{30000}}\implies P=100\left( \frac{1}{2} \right)^{\frac{2}{3}}\implies P\approx 63.0 \\\\[-0.35em] ~\dotfill\\\\ \boxed{B}\\\\ P=40\hspace{5em}40=100\left( \frac{1}{2} \right)^{\frac{t}{30000}}\implies \cfrac{40}{100}=\left( \cfrac{1}{2} \right)^{\frac{t}{30000}}\implies \cfrac{2}{5}=\left( \cfrac{1}{2} \right)^{\frac{t}{30000}}[/tex]

[tex]\cfrac{2}{5}=\left( \cfrac{1}{2} \right)^{\frac{1}{30000}t}\implies \log\left( \cfrac{2}{5} \right)=\log\left[ \left( \cfrac{1}{2} \right)^{\frac{1}{30000}t} \right] \\\\\\ \log\left( \cfrac{2}{5} \right)=t\log\left[ \left( \cfrac{1}{2} \right)^{\frac{1}{30000}} \right]\implies \cfrac{\log\left( \frac{2}{5} \right)}{\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{30000}} \right]}=t\implies 40000\approx t[/tex]

5. Find an expression to represent the area that is shaded
r

Answers

Answer:

(4 - π)r²

= 0.86 r²

Step-by-step explanation:

The radius of the circle = r

The diammeter of the circle = 2r

Area of circle = πr²

The side of the square = diammeter of the circle = 2r

The area of the square = (2r)² = 4r²

Area of shaded region = ar(square) - ar(circle)

= 4r² - πr²

= (4 - π)r²

= (4 - 3.14)r²

= 0.86 r²

What the meaning of "well-ordered by ∈"?

Answers

The phrase "well-ordered by ∈" refers to a specific kind of ordering or relation on a set using the element-of symbol (∈). In set theory, the symbol "∈" represents membership, indicating that an element belongs to a set.

The meaning of "well-ordered by ∈"

A well-ordering is a particular type of total order, where every non-empty subset of the set has a least element. In other words, for any subset of the set, there is always a smallest element in that subset according to the ordering relation.

When we say that a set is "well-ordered by ∈," it means that the elements of the set are arranged in a specific order such that the membership relation (∈) satisfies the properties of a well-ordering. This implies that every non-empty subset of the set has a smallest element with respect to the membership relation (∈).

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Evaluate f(x)=7cos2x f(-pi/4)

Answers

[tex]f(x)=7\cos(2x)\hspace{5em}f\left( -\frac{\pi }{4} \right)=7\cos\left( -\frac{\pi }{4} \right) \\\\\\ f\left( -\frac{\pi }{4} \right)=7\left( \frac{\sqrt{2}}{2} \right)\implies f\left( -\frac{\pi }{4} \right)=\cfrac{7\sqrt{2}}{2}[/tex]

If the multiplication expression below were written in exponential form, what
number would form the base?
23 x 23 x 23 x 23 x 23 x 23 x 23
Answer here

Answers

Answer:

23 would form the base

7 would form the exponent

Step-by-step explanation:

23 is being multiplied by itself 7 times, so you can write it as [tex]23^7[/tex] where 23 is the base and 7 is the exponent

See the attached math problem.

Answers

The solutions to the matrices are

A = 2 by 3B = 3 by 2A₂₁ = 4B₁₂ = 8How to determine the solutions to the matrices

From the question, we have the following parameters that can be used in our computation:

The matrices

The dimensions of the matrices are

A = 2 by 3 i.e 2 rows and 3 columns

B = 3 by 2 i.e 3 rows and 2 columns

For the positions of the matrices, we have

A₂₁ = 4

B₁₂ = 8

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Please help me out with this

Answers

Answer:

I would say D

Step-by-step explanation:

since it already tells you what y equals it makes it easier to substitute the others take more work so the best first step is substituting for y

Answer:

Option D) Substitute for y in the first equation

Step-by-step explanation:

When solving for a system of equation, we always need 1 equation to have x or y already isolated by itself.  This makes it easy to substitute that variable into the other equation, solve, then substitute the other variable into another equation.

This will give us an ordered pair, known as the solution.

In this system, we have 2 equations.  In the first one, we have no variables isolated.  In the second one, we have y isolated on the left side of the equal sign.  This means we can take what y equals (3x+2) and substitute that in for y in the first equation.

Hope this helps! :)

Calculate the values in these expressions:
A+B+C=196. A=82, B=2C B=__? C=__?

Answers

Answer:

B = 76, C = 38

Step-by-step explanation:

A + B + C = 196

substitute A = 82 and B = 2C into the equation

82 + 2C + C = 196

82 + 3C = 196 ( subtract 82 from both sides )

3C = 114 ( divide both sides by 3 )

C = 38

B = 2C = 2 × 38 = 76

HELP WITH CALCULATING AREA OF A CYLINDER AND SURFACE AREA.

Answers

These methods can be used in the construction of water tanks, oil storage tanks, cans, and tubes. They can also be used in the engineering sector to determine the Volume of certain cylinders like pipes and cylinders.

The cylinder is a geometrical figure which is three-dimensional with two parallel circular bases. There are different ways to calculate the area of a cylinder and the surface area of a cylinder.

The methods and formulas of calculating the area of a cylinder and the surface area of a cylinder are explained below.Area of a CylinderThe area of a cylinder is defined as the region occupied by the cylinder on a two-dimensional plane.

The formula used to calculate the area of a cylinder is A = 2πr² + 2πrh. Here, r denotes the radius of the circular base, and h denotes the height of the cylinder. The area of curved surface area of a cylinder is 2πrh. Surface Area of a Cylinder

The surface area of a cylinder refers to the total area of the figure including the area of the two bases of the cylinder.

The formula for calculating the surface area of a cylinder is A = 2πr(h + r). Here, r denotes the radius of the circular base, and h denotes the height of the cylinder. The surface area of the two circular bases of a cylinder is 2πr².

The two methods of calculating the area of a cylinder and the surface area of a cylinder are very essential in solving real-life problems.

For instance, these methods can be used in the construction of water tanks, oil storage tanks, cans, and tubes. They can also be used in the engineering sector to determine the volume of certain cylinders like pipes and cylinders.

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match their terms to their definition

Answers

The correct match of the following item to their definitions are:

Reasoning or argument that explains how come, or in what way your evidence supports your position - warrant.Statement of your topic - what your paragraph is about AND your specific opinion or observation about it - claim.Common knowledge provided to orient your reader - contextAny information that is not common knowledge - data.

What is a warrant?

A writ authorizing or ordering someone to do something. The term frequently refers to a judge's writ authorizing law enforcement to conduct certain actions, such as making an arrest, searching a place, or seizing property.

A claim is to declare or insist that something is true, usually without giving any support or proof.

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-
Number of Weeks
9 s
Alexandra kept track of her salary for 15 weeks and created the histogram below.
4
O
1-10
S
Weekly Wages
Mark this and return
10
11-20
21-30
31-40
Amount of Wages in Dollars
A
41-50
What does the gap from 21-30 tell Alexandra about her weekly salary?
She did not work that week
Save and Exit
Next
4
Submit

Answers

The gap in the histogram tells her that she did not earn any wages that week.

What is histogram ?

A histogram is a graphical data representation that reveals a dataset's distribution. It consists of a sequence of bars, where the height of each bar denotes the frequency or count of data points falling inside a given range and the width of each bar denotes a range of values.

Alexandra's pay histogram shows a gap from 21 to 30, which indicates that she did not work that week. This is so because no wages in the range of 21 to 30 are recorded in the histogram, which displays the amount she made each week.

It's possible that Alexandra was on vacation or ill and unable to work that week. Whatever the cause, the histogram gap indicates that she did not get any pay that week.

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FInd the rate oifd change for thgis said function . pleaser

Answers

The average rate of change of the function over the interval is 4x + 2h

Finding the average rate of change

From the question, we have the following parameters that can be used in our computation:

f(x) = 2x² + 9

The interval is given as

From x = x to x = x + h

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(x) = 2x² + 9

f(x + h) = 2(x + h)² + 9

Next, we have

Rate = (2(x + h)² + 9 - 2x² - 9)/(x + h - x)

Evaluate

Rate = 4x + 2h

Hence, the rate is 4x + 2h

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What is the slope of a line that is parallel to the line shown
(-3, 1 ) (3,3)

2/3
3/2
-2/3
-3/2

Answers

Answer:

2/3

Step-by-step explanation:

You set up the formula then come out with 2/3

Its also positive because the arrows are facing to the right.

cm² What is the area of this shape? Give your answer in cm 3 cm 2cm 6cm 2cm Not to scale​

Answers

Based on the information provided, the total area of the shape given is 25 square centimeters.

How to calculate the area of this shape?

The shape given is made up of two different shapes or two different rectangles. Due to this, to calculate the area, let's calculate the area of each of the rectangles, and then let's add the areas obtained.

First rectangle:

area = side x side

area = 2 cm x 3 cm

area = 6 square centimeters

Second rectangle:

area = side x side

area = 4 cm x 2 cm

area = 8 square centimeters

Total area: 6 square centimeters +  8 square centimeters

Total area = 14 square centimeters

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Colin borrowed 4200 at 8% simple interest to be paid back in 3 years. How much interest will he pay

Answers

Answer:

Answer 1008

Step-by-step explanation:

answer the question in the picture

Answers

Answer:

The answer is 692

Step-by-step explanation:

a₁₇ = 72, a₅₁ = 208

aₙ = a + (n-1)d

a₁₇ =a + 16d = 72→ 1

a₅₁ = a + 50d = 208 →2

2-1

34d = 136

d= 4

a₁₇ = a + 16d = 72

72 = a + 64

a = 8

a₁₇₂ = a + (172-1)4

a₁₇₂ = 692

5.5 m
5.5 m
+2m+2m+
What is the area of the rhombus?
O 11 m²
O 15 m²
O 22 m²
O 44 m²

Answers

The best answer choice among the given options is O 15 m², as none of the provided options match the correct Ccalculation.

To find the area of a rhombus, we need the lengths of the diagonals. In this case, the lengths of the diagonals are not provided. However, we can use the given information to determine the area based on the side lengths.

A rhombus is a quadrilateral with all sides of equal length, so the given side lengths of 5.5 m and 2 m can help us find the area.

We know that the diagonals of a rhombus bisect each other at right angles, dividing the rhombus into four congruent right triangles. Each side of the rhombus is the hypotenuse of one of these triangles.

Given that the side length is 5.5 m, we can consider one of these right triangles. One leg of the right triangle is half of the side length, which is (5.5 m)/2 = 2.75 m. The other leg of the triangle is the length of the diagonal, which is unknown.

Using the Pythagorean theorem, we can find the length of the diagonal:

(diagonal)^2 = (leg)^2 + (leg)^2

(diagonal)^2 = (2.75 m)^2 + (2 m)^2

(diagonal)^2 = 7.5625 m² + 4 m²

(diagonal)^2 = 11.5625 m²

diagonal ≈ √11.5625 m ≈ 3.4 m (rounded to the nearest tenth)

Since the diagonals of a rhombus are perpendicular bisectors of each other, the length of the other diagonal would also be approximately 3.4 m.

Now, we can calculate the area of the rhombus using the formula: area = (diagonal1 * diagonal2) / 2

area = (3.4 m * 3.4 m) / 2

area = 5.8 m²

The area of the rhombus is approximately 5.8 m².

The best answer choice among the given options is O 15 m², as none of the provided options match the correct area calculation.

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The average weight of 12 eggs is 32 gms. Two of them weighing 35 and 37 gms respectively are broken. Find the average weight of the remaining 10.​

Answers

Answer:

  31.2 g

Step-by-step explanation:

You want to know the average weight of the remaining eggs if two from a dozen with average weight 32 g are broken, and their weights are 35 and 37 g.

Relative to average

The two broken eggs differ from average by ...

  (35 -32) +(37 -32) = 3 +5 = 8 . . . . . grams

The remaining eggs must differ from that average by the opposite amount, a total of -8 g.

Distributed over 10 eggs, this difference is -0.8 g, so the average weight of the remaining eggs is 32 -0.8 = 31.2 g.

The average weight of the remaining 10 is 31.2 g.

New sum

The average weight is the sum of all weights divided by the number of eggs:

  avg = W/N

  W = N·avg = 12·32 g = 384 g

The new sum of weight will be this amount less the weights of the broken eggs:

  W' = 384 g -35 g -37 g = 312 g

The new number of eggs is 2 fewer: N' = 12 -2 = 10.

So, the new average weight is ...

  avg' = W'/N' = 312 g/10 = 31.2 g

__

Additional comment

By working with the differences from average, we don't have to figure the old and new sums. We're only concerned with the way that sum changes, and the average amount of that change. Often, this means we can solve the problem using only mental arithmetic.

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Other Questions
Suppose ab f exists and is positive. Prove that there exists a subinterval J[a,b] and a constant m>0 such that f(x)m for xJ. 10) Let f be continuous on [a,b]. Show that there is a number c in (a,b) with which of the following gives the definition of alkaline battery? select the correct answer below: an alkaline battery is a primary battery that uses an alkaline electrolyte. an alkaline battery is a primary battery that uses only alkali metals. an alkaline battery is a primary battery that uses only alkaline earth metals. Why were US academic economists so confident that the euro was abad idea? Why were some of their European counterparts moreoptimistic? Which of the following is written using correct sentencestructure?O No matter how long she studied, Emiko couldn't seem tounderstand her math class then she worked with a tutor andended up passing the course with a B.O No matter how long she studied, Emiko couldn't seem tounderstand her math class, then she worked with a tutor andended up passing the course with a B.O No matter how long she studied, Emiko couldn't seem tounderstand her math class, but then she worked with a tutorand ended up passing the course with a B. Select the correct answer A company needed to determine the correct cash balance to prepare the month end financial statements. The following information was provided: The bank balance per statement at June 30 was $15,100 and the book balance before adjustments was $7,850. The additional information provided indicated the following: . the bank collected a note on behalf of the company plus interest of $4,320. The interest portion was $320. the company determined that outstanding checks totaled $7,210 and deposits in transit was $5,377 check #2755 written by the company for $1,230.00 was deducted as $123.00 by the bank bank charges was $15 and interest earned on the bank account balance was $5 What amount would the company determine the cash balance must be? O $12,160 O $13,267 O $36,480 O $20,010 O None of the above What are the pros and cons of utilizing activity-based costing vs. traditional costing? Both methods are allowed under GAAP, yet most manufacturing companies do not use activity-based costing. If activity-based costing is a superior costing method what reasons would a company have for not using activity-based costing? indicate the effect (+, -, or 0) on total stockholders' equity of McKenzie Services Corporationfor each of the following:1. Declaration and issuance of a stock dividend on common stock2. Sale of 100 shares of McKenzie Services by Jay Smith to Ray Fauley3. Net earnings for the period of $600.0004. Issuance of a stock dividend on common stock5. Failing to declare a regular dividend on cumulative preferred stock6. Declaration of a cash dividend of $50.000 in total7. Payment of item 68. Purchase of 10 shares of treasury stock for $1.200 cash9. Sale of treasury stock, purchased in item 8, for $1,40010. Sale of treasury stock, purchased in item 8, for $1,000 which of the following statements is true? a. in the long run, a firm is committed to a particular plant size and can only vary such resources as labor and some material inputs. b. the long-run average cost curve connects the minimum points on marginal cost curves for different plant sizes. c. in the long run, a firm is committed to a particular plant size, and thus, it cannot vary any input. d. in the long run, for any output level, a firm can select a plant size that will allow it to minimize average total cost. Why did scientist think that the mesosarous lived on land John, Nathan, and Julio form JNJ, LLC with equal capital investment each. On his way to a business meeting with clients of JNJ, Nathan accidentally injures Melissa in a car accident. Which of the following is true in this scenario?a. Melissa can choose to claim damages from any one of the three.b. Melissa can claim damages from JNJ, LLC as she was injured in the ordinary course of business.c. Melissa can only claim damages from Nathan and not from JNJ, LLC.d. John, Nathan, and Julio have equal personal liability to Melissa's injuries. Question 4 of 5What is one of the reasons that Swift gives for his proposal?A. There is a famine in the land, and children are plentiful.B. The meat of Irish infants goes well with many different vegetables.C. Children would become valuable property.OD. The threat of harvesting babies would encourage strongerdiscipline among the young. (b) The magnification of the cress root in the image above is x 200.There are 1000 micrometres (um) in a millimetre (mm).Calculate the real length of the root hair, X.Give your answer in micrometres (m).Real length X =m Actually its a physiological question An equilibrium condition exists when:A. a system is in a homeostatic stateB. a system is in a steady-stateC. a system has opposing forces that counteract one anotherD. a system that involves feedbackE. all of the above h(x)= k=1[infinity]b k(t)sin( 4kx) Please choose the correct option: does your answer only include odd values of k, even values of k, or all values of k ? b k(t)= Which values of k should be included in this summation? A. Only the even values B. Only the odd values C. All values Can someone please explain when cis, trans, E, and Z will beused in naming compounds? Please provide some examples if you canbecause I get confused with these 4 Which one of the following best describe Chi-square Distribution? Marked out of 100 Select one Flag question a symmetrically distributed. b. Positive skewness c. left-skewed distribution d. left-skewed and it can have negative possible values The graph of this line shows the total amount Katrina earns for working a corresponding number of hours. How much did Katrina earn for working 7 hours? Why are low boiling point solvents such as diethyl ether (bp: 35 C) or dichloromethane (bp:40 C ) generally less suitable for recrystallisation than higher boiling point solvents, such as water or ethanol, irrespective of their polarity? Create a form with a textbox and a button named Check. The user should be able to enter a string into a textbox, click the button and see how many words there are in that string. Submit the btnCheck_Click method.