If 5²ˣ ⁻ ³=1 , then x=
A 0.4
B 0.6
C 1.5
D 1.6
E 2

The slope of this isoquant equals -2.

A contour line formed across a set of locations where the same quantity of output is produced while changing the quantities of two or more inputs is called an isoquant (derived from quantity and the Greek word iso, meaning equal). A factor of production, like as labor, money, land, or organization, is typically represented by the x and y axes on an isoquant. Another name for an isoquant is a "Iso-Product Curve" or a "Equal Product Curve."

The isoquant mapping deals with the cost-minimization, profit, and output maximization problems of producers, whereas an indifference curve mapping helps consumers address the utility-maximizing problem. Indifference curves and isoquants diverge much more.

Calculations:

q=4L+2K

So, MPL=dq/dL =4

MPK=dq/dK =2

So,Slope=-MPL/MPK

=-4/2=-2

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The maximum number of shirts in each row so that all the rows are equal in length is 12.

From the information, the salesclerk is creating a display of 12 polo shirts and 48 team shirts and only one type of shirt can be in each row.

It should be noted that the value van be found by knowing the highest common factor for the numbers.

The highest common factor for 12 and 48 is 12.

Therefore, the correct option is A.

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Answer:

Step-by-step explanation:

The cost of labor per hour is $45.

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Answer:no

Step-by-step explanation:1:4 is not equivalent to 3:5

Using the distance formula, the distance between B and C is calculated as: 2.3 units.

The distance formula to apply is: d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Given the following:

B (3,−4) = (x1, y1)

C (5,−5) = (x2, y2)

Plug in the values into the distance formula

BC = √[(5−3)² + (−5−(−4))²]

BC = √[(2)² + (−1)²]

BC = √(4 + 1)

BC = √5

BC = 2.236068 ≈ 2.3 units.

Therefore, using the distance formula, the distance between B and C is calculated as: 2.3 units.

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Answer:  3[tex]\sqrt4[/tex]

Step-by-step explanation:

Simplified radical form of the square root of 45

Square root of 45 can be expressed as, √45 = √(9 × 5) = 3√5. 45 is not a perfect square, so, it remains within roots. The simplified radical form of the square root of -45 is 3√5.

Answer:

3√5i

Step-by-step explanation:

[tex]\sqrt{-45}=\sqrt{-1}\sqrt{45}\\\sqrt{-1}\sqrt{45}\\i\sqrt{45}\\**Prime\:Factorization*\\3 \times 3 \times 5 = 45\\=3\sqrt{5}i[/tex]

➲ Hope this helps.

Devante spent 2 dollars 43 cents

In this question,

A gum is 21 cents a pack and candy bars are 45 cents each.

Devante buy 3 packs of gum.

So for 3 packs of gum total amount would be,

3 × 21 = 63 cents

Devante buy 4 candy bars.

So for the four candy bars the total amount would be,

4 × 45 = 180 cents

Total purchase would be,

63 cents of packs of gum + 180 cents of candy bas

= 243 cents

We know that 1 dollar = 100 cents

S0, 243 cents = 2.43 dollars

Therefore, Devante spent 2 dollars 43 cents

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18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

12

Explanation:

Slope Intercept form is: y=mx+b
m would be the slope

So in y=12x-19, 12 would be the slope in this case.

The absorbance of the given sample is 0.2076.

Length of the cuvette = 1 cm

Wavelength of the spectrophotometer = 620nm

Transmittance of the sample = 62%

We know, absorbance is related to transmittance by the formula written below;

A = log(1/T)                                                 equation 1

Also, percent transmittance %T = 100T

or we can write, T = (%T) / 100

On substituting value of T in equation 1 , we get

A = log(100/(%T))    

⇒ A = log(100) - log (%T)      

⇒ A = log([tex]10^{2}[/tex]) - log(%T)

⇒ A=  2log(10) - log(%T)    

We know, log10 = 1. On substituting the value of log 10 in above equation, we get

A = 2 - log(%T)

⇒ A = 2 - log(62)

⇒ A = 2 - 1.7924

⇒ A = 0.2076

The absorbance of the given sample is 0.2076.

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The function g(x) models a downward facing parabola shape which is option A

The function g(x) have the solutions which are given in the form of coordinates

This can be solved on a sheet of graph using coordinate geometry  

(-3,0), (-2,-4) , (-1, -6) , (0, -6 ), (1,-4),(2,0)  and (3,6)

If we will plot all the given seven points given on the graph and join the points we would get a downward sloping parabola model which looks like reverse 'U' shaped  whose highest point is between -1 and 0 that is -0.5

lies in second quadrant of the graph sheet.

Hence the given function g(x) models a parabola shape which is option A

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The division of the number -33.44/-1.9 is 17.6.

Division is one of four fundamental mathematical operations, along with addition, subtraction, as well as multiplication.

For the given expression;

=  -33.44/-1.9

as, both numerator and denominator is negative values, both negative signs will be cancelled.

Now, divide numerator 33.44 by denominator by 1.9, we get 17.6.

Thus, the division of the number -33.44/-1.9 gives quotient 17.6.

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Answer:

y = 6x + 9

Step-by-step explanation:

parallel lines have equal gradients.

y - y1 = m(x -x1)

since the lines are parallel your m = 6.

y - y1 = 6(x - x1)

(x1 ; y1) is given (0 ; 9)

y - 9 = 6 (x -0)

y = 6x + 9

It would take 10 months to equate the population of both the towns

Let the number of months required to equate the population of both the town( Town A and Town B) be x

This question can be solved using linear equations

So, town A's population would be current population adjusted with migration of people  which is 42975-125x+150x

And town B's population would be current population adjusted with migration of people  which is 45225 -200x

As at the end of x months the population of the two towns is equal, so equating both the linear equations

 42975 -125x +150x = 45225-200x

Now solving the equation for x

150x-125x+200x= 45225-42975

225x=2250

Therefore x= 2250/225= 10

Hence it would take 10 months to equate the population of both the towns

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The length of rectangular field is 36.76 m.

Distance is quantified by length. A quantity with the dimension of distance is called length in the International System of Quantities. Most measurement systems choose a length base unit from which all other units are derived. The fundamental unit for length in the International System of Units is the metre.

The term "length" refers to the measurement or size of something from end to end. In other terms, it is the greater of the upper two or third dimension of a geometric shape or object.

Area of rectangle is L × W = 800

given L = 15 + W

W × ( 15+ W) = 800

15W + [tex]W^{2}[/tex] = 800

[tex]W^{2}[/tex] + 15W - 800 = 0

by solving the above quadratic equation W= 21.76 m.

L = 15 + W

L = 36.76 m

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Answer:

3x - 3

The answer above matches with the statement:

"Three is subtracted from three times a number."

Hope this helps :)

The statistical test that should be done to determine if there is a significant difference is the independent t-test.

What're is an independent t-test?

It should be noted the independent t-test or students t-test for two samples should be used.

The Independent Samples T-Test compares the means of two independent groups to determine whether there is statistical evidence that the associated population means are significantly different.

In this case, the biology department needs to decide which lab curriculum yields better student outcomes, the.t text can be applicable.

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Answer: -2/15 according to the calculator.

Answer:

-1.9681

the 81 is repeating

Step-by-step explanation:

A speculative statement about the relationship between two or more variables is known as a b - hypothesis.

Variables:

A variable is a measurable trait or characteristic that is subject to change under different conditions.

Given,

Here we need to find what is meant by a speculative statement about the relationship between two or more variables.

The definition of Hypothesis is,

It is basically a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

So, a speculative statement about the relationship between two or more variables is known as a b - hypothesis.

So, the option (b) - Hypothesis is correct.

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Answer:

Xyz E number

Step-by-step explanation:

I think Xyz is right

Answer:

  A.  AB = xyzx

Step-by-step explanation:

You want AB when A = BC, B = x, and C = yz.

You can evaluate the unknown expression by making substitutions until you can't anymore.

  AB = (BC)(B) . . . . . . . . substitute BC for A

  AB = ((x)(yz))(x) . . . . . . substitute x for B (2 places), yz for C

  AB = xyzx . . . . . . . . . . remove the unnecessary parentheses

The answer is k⁴n⁶/3 after solving the expression.

Given, the expression is kn/3k⁻³n⁻⁵

now we must simplify the expression with the help of the negative exponent rule.

A base that is on the fraction line's denominator side can be indicated by a negative exponent. In other words, according to the negative exponent rule, a number with a negative exponent should be added to the numerator and vice versa.

that is, a⁻ⁿ = 1/aⁿ

therefore,  kn/3k⁻³n⁻⁵ = knk³n⁵/3

Multiply the monomials.

Monomials should be multiplied by adding the exponents to the coefficients before moving on to the variables. You can sum the exponents of monomials while multiplying them by the same base. The Product of Powers Property is used to describe this.

k⁴n⁶/3

Hence we get the answer after simplification as k⁴n⁶/3

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The statements that could be represents the expression 40×(-18) is

The expression= 40×(-18)

A hot air balloon descends 18 inches per a second for 40 seconds=40×(-18)

A hot air balloon ascends 40 inches per a second for 18 seconds=40×18

Trey withdraws $18 from his checking account once a week for 40 weeks=40×(-18)

Suzanne deposits $18 into her savings account once a week for 40 weeks=40×18

Morty withdraws $40 from his checking account once a month for 18 months=40×(-18)

Hence, The statements that could be represents the expression 40×(-18) is

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Answer:

3

Step-by-step explanation:

81/(-9)/(-3)=3

The number 3 is prime number.

The equality property that justifies the statement "If m∠ 1=25 and m∠2=25 , then m∠1=m∠2" is; Substitution Property

The substitution property of equality states that 'If a variable C is equal to another variable D, then C can be substituted in place of D in any equation/expression and D can be substituted in place of C in any equation/expression.

Now, we are given the expressions;

If m∠ 1  = 25 and m∠2 = 25 , then m∠1 = m∠2.

Thus, we can also say that the property used here is called substitution property because the parameters were interchanged and still equal.

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Solving system of equations in two variable gives that the number of cards in every booster pack are 10  and number of cards in every premade deck are 32

What is system of equations in two variables and how to find its solution by substitution?

Let x and y be two variables and

a₁x+b₁y =c₁              

a₂x+b₂y =c₂        

Where a₁, a₂, b₁, b₂, c₁, c₂ are  constants   then  we can solve these simultaneous equations by substitution take value of x from equation (1) and then put it in (2) to get an equation for y only and then solve for y. put value of y in equation (1) to get value of x.

Let the number of cards in every booster pack are  x and the number of cards in every premade deck  be y

Number of cards in 5 booster packs will be 5x  and Number of cards in 4  premade deck will be 4y

As Oliver purchases 5 booster packs and 4 premade decks, which included a total of 178 cards.

Thus we get       5x + 4y = 178    .....(1)

Number of cards in 4 booster packs will be 4x  and Number of cards in 7  premade deck will be 7y

As Oliver received 4 booster packs and 7 premade decks, which included a total of 178 cards.

Thus we get     4x +7y = 264       ...(2)

System of equations to be solved is

5x + 4y = 178    .....(1)

4x +7y = 264       ...(2)

From (1) , we get x = [tex]\frac{178-4y}{5}[/tex]

Put this value in (2)

[tex]4(\frac{178-4y}{5}) +7y= 264\\\frac{712}{5} -\frac{16y}{5} +7y = 264\\\frac{712}{5}-264=\frac{16y}{5} -7y\\ y= 32\\x= \frac{178-4(32)}{5 }\\ x=50/5\\x=10[/tex]

Therefore x=10 and y= 32

The number of cards in every booster pack are 10   and number of cards in every premade deck are 32

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a) Her gross pay will be $156

b) The domain is D: [10, 15]

c) The range is R: [$130, $195]

We know that Taylor earns 13 dollars per hour on her job at the grocery store.

Then, if she works x hours in the week, her gross wage will be given by the linear equation:

g(x) = $13*x

So,  if she works 12 hours, her gross pay will be:

g(12) = $13*12 = $156

we know that she works between 10 and 15 hours peer week, so the domain (set of the possible inputs of the function) is:

10 ≤ x ≤ 15 or [10, 15] in interval notation.

The range is the set of the outputs, the minimum of the rane is:

g(10) = $13*10 = $130

The maximum of the range is:

g(15) = $13*15 = $195

The range of the linear function is: [$130, $195]

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Answer:

Step-by-step explanation:

A

The solutions to the inequalities are h ≥ -14, v ≥ -19 and m ≤ 10

To do this, we simply solve the expressions one after the other

So, we have:

-3h ≤ 42

Divide both sides by -3

So, we have

h ≥ -14

-v/2 ≤ 9.5

Multiply both sides by -2

v ≥ -19

-4/5m ≥ -8

Multiply both sides by -5/4

m ≤ 10

Hence, the solutions to the inequalities are h ≥ -14, v ≥ -19 and m ≤ 10

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