Rewrite the equation below so that it does not have fractions.

4-(3)/(4)x=(5)/(6)

Do not use decimals in your answer. PLS HELPPP

Answer:

6.082763

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

50-6=44

44/4=11

Answer:

x=5

Step-by-step explanation:

An isosceles trapezoid has two pairs of congruent base angles. This means angle F has to equal angle E. So we have 2x^2+21=3x^2-4. Move the variables to one side and we get 25=x^2. Square root both sides and we get two values x=5 and x=-5. Since angles cannot necessarily be negative, we only want the positive value. In this case x=5.  

Answer:

12

Step-by-step explanation:

let my age be x

The best linear approximation to the function f(x) = e^x near x = 0 is L(x) = x + 1.

The given function is f(x) = e^x near x = 0.

To find the best linear approximation, L(x), we use the formula:

L(x) = f(a) + f'(a)(x-a),

where a is the point near which we are approximating.

Let a = 0, so that a is near the point x = 0.

f(a) = f(0) = e^0 = 1

f'(x) = d/dx (e^x) = e^x;

so f'(a) = f'(0) = e^0 = 1

Substituting these values into the formula: L(x) = 1 + 1(x-0) = x + 1

Therefore, the best linear approximation to f(x) = e^x near x = 0 is L(x) = x + 1.

For instance, linear approximation is used to approximate the change in a physical quantity due to a small change in another quantity that affects it.

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Quadrilateral ABCD is not a rectangle because consecutive sides have slopes of 3/4 and -3/2 so they are not perpendicular

1) Considering that to be a rectangle that quadrilateral needs to have perpendicular line segments and two pairs of congruent segments.

2) Let's find the slope of the line segments AB and BC, bearing in mind the coordinates of A(-2,-1) B(2,2) and C(4,-1)

Note, that in order to state that there are perpendicular lines, the slope of AB and BC should be the opposite and reciprocal so AB is 3/4 and BC should be -4/3. The same does not occur to AB and AD.

3) Hence, the answer is:

Quadrilateral ABCD is not a rectangle because consecutive sides have slopes of 3/4 and -3/2 so they are not perpendicular

To determine the number of units that should be ordered, we need to consider the lead time, demand, and the desired probability of not stocking out.

1. First, let's calculate the demand during the lead time. Since the lead time is 7 days and the average daily demand is 20 units, the demand during the lead time is 7 days * 20 units/day = 140 units.

2. Next, we calculate the safety stock needed to achieve the 95% probability of not stocking out. The safety stock is the product of the standard deviation and the Z-score corresponding to the desired service level. For a 95% probability, the Z-score is 1.65. So, the safety stock is 1.65 * 5 units = 8.25 units (rounding up to 9 units).

3. Now, we calculate the reorder point, which is the sum of the demand during the lead time and the safety stock. Reorder point = 140 units + 9 units = 149 units.

4. Finally, we subtract the current on-hand units and the units sold today from the reorder point to determine the number of units to be ordered. Units to be ordered = 149 units - 180 units + 20 units = -11 units.

Since we cannot order a negative number of units, we conclude that no units should be ordered in this scenario.

Based on the given information and calculations, no units should be ordered in this case as there is no need to replenish the stock.

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Answer:

Step-by-step explanation:

We are to choose all the equation that evaluates b to be 11. The following equations are true;

77 = 7b

To get b, we will divide both sides by 7

77/7 = 7b/7

11 = b

b = 11

This shows that the equation is correct since b = 11

Also 9 = b-2

To get b, we will add 2 to both sides of the expression

9+2 = b-2+2

11 = b

b = 11

This shows that the equation is correct since b = 11

Hence option C and D are correct

Answer:

C and D

Step-by-step explanation:

You do the opposite of the question to get answer.

Each professor would receive an estimated amount of approximately $1,476.19.

the total number or quantity : aggregate. trying to figure the amount of time it will take. : the quantity at hand or under consideration.

To estimate the amount each professor receives, we divide the total raise of $310,000 by the number of professors, which is 210.

Amount each professor receives = Total raise / Number of professors

= $310,000 / 210

Using a calculator or performing the division, we find:

Amount each professor receives ≈ $1,476.19

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The equation of the plane in the scalar form that passes through (1, -1, 2) and is parallel to 11x + 9y + 6z = 19 is

11x + 9y + 6z - 14 = 0.

We have,

The given plane, 11x + 9y + 6z = 19, can be rewritten as:

11x + 9y + 6z - 19 = 0.

where the actual form is ax + by + cz - d = 0

Now,

The coefficients of a, b, and c, namely 11, 9, and 6, represent the normal vector to the plane.

So, the normal vector to the desired plane is (11, 9, 6).

The required plane is parallel to the given plane.

Using the point-normal form of a plane equation, the equation of the desired plane can be written as:

11(x - 1) + 9(y + 1) + 6(z - 2) = 0.

where (1, -1, 2) is the point that passes through it.

Expanding and simplifying the equation,

11x - 11 + 9y + 9 + 6z - 12 = 0.

11x + 9y + 6z - 14 = 0.

Therefore,

The equation of the plane in scalar form that passes through (1, -1, 2) and is parallel to 11x + 9y + 6z = 19 is

11x + 9y + 6z - 14 = 0.

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Answer:

Step-by-step explanation:

The graph starts at x = - 3 and ends x = 2. For all x between -3 and 2, there points on the graph. Hence the domain, in interval notation, is written as

[-3 , 2]

We have closed circles at x = - 3 and x = 2 because -3 and 2 are included in the domain which is indicated by the closed brackets at x = - 3 and x = 2.

The range is the set of possible output values, which are shown on the y-axis.

This is why our graph goes from (-3,8) to (2,3)

Bubba can paint an area of approximately 205,797.10 square meters with a single coating of the 3 gallons of paint, assuming he manages a uniform thickness.

The area that Bubba can paint with a single coating of the 3 gallons of paint, we need to first convert the volume of the paint into liters. As given, 1 gallon is the same as 3.78 liters.
3 gallons x 3.78 liters/gallon = 11.34 liters
Now, we need to use the thickness of the paint to calculate the area that can be covered with this amount of paint. The thickness of the paint is given as 0.0552 mm. We need to convert this to meters so that it is in the same units as the area. 1 mm is equal to 0.001 meters, so:
0.0552 mm x 0.001 meters/mm = 0.0000552 meters

The thickness of the paint in meters. Now we can use the volume and thickness of the paint to calculate the area that can be covered. The formula for this is:
Area = Volume / Thickness
Area = 11.34 liters / 0.0000552 meters
Area = 205,797.10 square meters

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Answer:

\(\angle 1=32^{o}\)

Step-by-step explanation:

\(\angle 2 = 32^{o}, (corresponding-angles- are- equal)\\\angle 2=\angle 1, (alternate-angles - are-equal)\\therefore\\\angle 1=32^{o}\)

For an a normally distributed the length of a pregnancy, with mean of 280 days and a standard deviation of 13 days,

a) the probability that he was NOT the father is equals to the 0.9762.

b) The probability that he could be the father is equals the 0.0238.

We have an expert witness for a paternity lawsuit testifies that the length of a pregnancy is normally distributed. Let variable X has normal distribution, Mean, μ = 280 days

standard deviations, σ = 13 days

An alleged father was out of the country from 240 to 306 days before the birth of the child. So, the variable value varies X < 240 or X> 306. Using Z-Score formula for normal distribution,

\(z= \frac{x -μ}{σ}\)

For x = 240

=> z =( 240 - 280)/13

= -40/13 = - 3.07

For x = 306

=> z = (306 - 280)/13

= 26/13 = 2

a) Probability that he not be the father , P ( 240< x < 306) or P(E)

= \( P ( \frac{240 - 280}{13 }< \frac{x - \mu}{\sigma} < \frac{306 - 280}{13})\)

= P (- 3.07 < z < 2 )

= P( x< 2) - P(z< - 3.07)

Using the normal distribution table value of probabilities for z < 2 and z< - 3.07 are determined, = 0.9762

= P(240<x <306)

b) Probability that he could be the father,

\(P( \bar E) \) = 1 - P(E)

= 1 - 0.9762

= 0.0238

Hence, required value is 0.0238.

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After w weeks, the expression for the total cost of games is 250 + 4000w.

What is Expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

An algebraic expression known as a linear expression has terms that are either constants or variables raised to the first power. Alternatively put, none of the exponents can be greater than 1.

As an illustration, while x is a variable raised to the first power, x2 is a variable raised to the second power. An illustration of a constant is 5.

Linear expressions are what the two expressions are. One variable raised to the power of one makes up a linear expression.

250 + 1000g.

Where: g(w) = 4w.

250 + 1000(4w).

250 + 4000w.

Therefore, number of games produced in w weeks is 250 + 4000w.

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Answer:

34-13.95 = 20.05

Step-by-step explanation:

Answer:

20.05

Step-by-step explanation:

34 - 13.95 = 20.05

Answer:

spends more time on swimming

Answer:

x = 17°

Step-by-step explanation:

2x - 4= 30° {being vertically opposite angles }

2x = 30° + 4°

2x = 34°

x = 17°

Hope it will help :)

The type of triangle is △STR is isosceles triangle.

A triangle is a flat shape bounded by three sides. In another sense, a triangle is formed by three line segments called sides and each side intersects with two other sides.

When classified from its angles, triangles consist of acute triangles, right triangles, and obtuse triangles. Even so, the sum of the angles of a triangle is always 180 degrees. Based on the classification of its sides, triangles consist of equilateral triangles, arbitrary triangles, and acute triangles.

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Answer:

Step-by-step explanation:

....................................................

x = 58.62 feet

y = 85.3 feet

Given that,

The cost of exterior walls is $140 per linear foot.

The cost of interior walls is $100 per linear foot.

  xy = 5000

⇒ y = 5000/x

For the exterior walls, we have 2(x + y)(110)

For the interior wall, we have 100x

The cost function = C

⇒ C = 2(x + y)(110) + 100x

⇒ C = 220(x + y) + 100x

      = 220x + 240y + 100x

      = 320x + 240y

Recall that y = 5000/x

C = 320x + 220(5000/x)

C = 320x + 1100000/x

Differentiate C with respect to x

C'(x) = 320 - 1100000/x²

       = (320x² -1100000) / x²

To minimize cost

C'(x) = 0

(320x² -1100000) / x² = 0

320x² -1100000 = 0

⇒ 320x² = 1100000

⇒ x² = 1100000/320

⇒ x = √1100000/320

⇒ x = 58.62 feet

Recall that y = 5000/x

y = 5000/58.62

y = 85.3 feet

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Finding the area between two curves involves finding the bounds of integration, taking the difference of the two functions, and finally integrating the resulting function to find the area enclosed by the two curves.

To find the area between two curves, you need to find the bounds of the integration, which are the points where the two curves intersect. Then you need to integrate the difference of the two functions using definite integration.

To perform the definite integration, you need to find the antiderivative (indefinite integral) of each function and then subtract the lower bound antiderivative from the upper bound antiderivative.

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To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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Option B is correct, the inequality which represents the  length of segment AB is greater than  length of segment AD is 9x-16>1.5x+42

The given rectangle is ABCD.

The length of segment AB is 9x-16 units

The length of segment AD is 1.5x+42 units

We have to find the inequality which represents the  length of segment AB is greater than  length of segment AD

> is the symbol used to represent greater than

AB>AD

9x-16>1.5x+42

Hence, option B is correct, the inequality which represents the  length of segment AB is greater than  length of segment AD is 9x-16>1.5x+42

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\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

Answer:

The graph is 1 unit shift to right of y = lxl

Step-by-step explanation:

horizontal shift to right 1 unit of y = lxl

If the value of apple = x

The value of pear = x + 2 cents

Answer:

A

Step-by-step explanation:

two times a quantity of number_ 2y

minus twelve-. 2y - 12

Answer: A

Step-by-step explanation:

Answer:

The graphs and the table is missing in the question.

Step-by-step explanation:

The guidelines for interpreting correlation  co-efficient r are :

1. Strong correlation    0.7<|r|≤1

2. Moderate correlation   0.4<|r|<0.7

3. Weak correlation   0.2<|r|<0.4

4. No correlation  0≤|r|<0.2

Logarithmic regression

(i). Mean : \($ {\overset{-}{ln}x} = \frac{\sum ln x_i}{n}, \ \ \ {\overset{-}y} = \frac{\sum y_i}{n} $\)

(ii) Trend line : \($ y = A +B \ln x, \ \ B = \frac{S_{xy}}{S_{xx}}, \ \ A={\overset{-}y-B{\overset{-}{\ln x}}}$\)

(iii). Correlation coefficient : \($ r = \frac {S_{xy}}{\sqrt{S_{xx}} \sqrt{S_{yy}}} $\)

\($ S_{xx} = \sum (\ln x_i - {\overset{-}{\ln x}})^2 = \sum (\ln x_i)^2-n. ({\overset{-}{\ln x}})^2$\)

\($ S_{yy} = \sum(y_i - {\overset{-}y})^2 = \sumy_i^2 - n. {\overset{-}y^2}$\)

\($ S_{xy} = \sum(\ln x_i - {\overset{-}{\ln x}})(y_i-{\overset{-}y}) = \sum \ln x_i y_i - n. {\overset{-}{\ln x}}{\overset{-}y} $\)

Now using the technology we can calculate

The equation of the regression curve is y = A + B(lnx)

we get A = 30.72 , B = 17.19

The equation of regression curve is \($ \hat y$\) = 30.72 + 17.19(lnx)