Properly rounding 190.4592785 to the nearest tenth gives

Answer:

The discriminant of the quadratic formula is given by

[tex] {b}^{2} - 4ac[/tex]

The value of x in the angle ∠BCE is 10 so the measure of ∠BCE is 50°.

So, the value of x will be:

Then, the equation formed will be:

So, ∠BCE = 5x° ⇒ 5(10) = 50°.

Therefore, the value of x in the angle ∠BCE is 10 so the measure of ∠BCE is 50°.

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The correct question is given below:

If the measure of ∠BCE is 5x° and the measure of ∠ECD is 40°, write an equation involving x and find the value of x.

Each number should be classified as follows:

In Mathematics, there are six (6) common types of numbers and these include the following:

A rational number simply refers to a type of number which consist of integers, fractions, terminating or repeating decimals such as -3, 3, 1/2, -3 3/4, etc.

Additionally, an integer is a whole number that may either be positive, negative, or zero such as, -3, -2, -1, 0, 1, 2, 3, 4 etc.

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Answer:

the answer is 93,721

Answer:

C: x = 13

Step-by-step explanation:

It looks like the question is f(x) = sqrt(x - 11)

DOMAIN

The domain of a function refers to values of x that the function can graph and give a definite y value for. Functions can graph x values that do not result in undefined or complex numbers.

If that is the case then x would have to be greater than or equal to 11 because you can not get the square root of negative numbers unless you want to deal with complex numbers.

13 - 11 >= 0 so it is the answer.

Answer:

The angle measures are

x + (x + 30) + 2x = 180

x = 37.5

Step-by-step explanation:

x + (x + 30) + 2x = 180.  (combine x and 2x)

3x + (x + 30) = 180.  (combine 3x and x, 30 cant combine)

4x + 30 = 180.  (subtract 30 from both)

4x = 150.  (divide both sides by 4)

x = 37.5

Answer: 5.50 (c + a)

Step-by-step explanation:

The angel L in the triangle JKL is measured as 52 degree.

What is triangle?

A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.

Given in the question,

∠J = (8x+6)°

∠K = (2x+2)°

∠L = (4x+4)°

We know that, the sum of the all angles in triangle is 180°

So, in triangle JKL

∠J + ∠K + ∠L = 180

Putting the values from the question. we get,

(8x+6) + (2x+2) + (4x+4) = 180

14x + 12 = 180

(180 - 12)/14 = x

x = 12

Putting the value of x in given value of angle L.

∠L = 4x+4

∠L = 4(12)+4

∠L = 48 + 4

∠L = 52°

Hence the angle L is measured as 52 degrees.

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Answer:

That would be a 30% profit. 

Step-by-step explanation:

in a marathon race (42.195 km), the winner’s time is 2 hours, 13 minutes, and 9 seconds, while the second-place time is 2 hours, 26 minutes, and 6 seconds . The distance is 2.664 km.

D = distance of marathon = 42.195 km = 42195 m

tw = time taken by winner = 2 h 17 min = 2 (60) + 17 = 137 min = 137 (60) = 8220 sec

Vw = speed of winner

speed of winner is given as

Vw = D /tw = 42195/8220

ts = time taken by second place = 2 h 26 min 14 sec = 2 (60)(60) + (26)(60) + 14 = 8774 s

Vs = speed of second place

speed of second place is given as

Vs = D /ts = 42195/8774

distance of the second place holder from the finish line is given as

D' = Vs (ts - tw)

D' = (42195/8774 )(8774 - 8220)

D' = 2664.24 m

D'= 2.664 km

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Answer:

938.4 normal time

Step-by-step explanation:

13.8 times 68.also what is overtime pay that no answer

Answer: $20.7 per hour of overtime

$1131.6 gross pay for the week

Step-by-step explanation: traditional overtime pay is 1.5 times regular pay meaning that she earns 13.8•1.5 for her overtime

multiply 13.8 times her regular 40 hour work week plus 28 hours of overtime pay

(13.8•40)+(13.8•1.5)•(hours of overtime)=gross pay

this is all subjective depending on your states overtime laws and if they count overtime as double for hours worked in excess of 48 hours in a week.

I would look at your states overtime laws and work on a conclusion.

if this is the case then the answer would be

(13.8•40)+(20.7•8)+(27.6•20)=gross pay

Answer: The value of f (1) is -6

Step-by-step explanation:

Substitute the 1 into the equation: f (1) = -(1)2 - 4

f (1) = -2 - 4

f (1) = -6

285 yards of wire purchased in October will cost $3705.

We will use unitary method for calculation.

The cost of one yard of wire = total cost ÷ length of wire × unit length

Cost of one yard of wire = 1235 ÷ 95 × 1

Performing division on Right Hand Side of the equation

Cost of one yard of wire = $13

Now calculating the cost for purchase of 285 yards of wire in October.

Cost of wire in October = 285 × 13

Performing multiplication on Right Hand Side of the equation

Cost of wire in October = $3705

Thus, the cost of purchase in October is $3705.

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LCM of 15 and 35 = 105

3x5x7 = 105

Answer:

3x5x7

Before the launching its latest line of health drinks, a beverage manufacturer provided free samples of the health drinks to a large and culturally diverse set of families. This is a qualitative research.

Qualitative research is the study of the nature of phenomena and is particularly effective for clarifying why something is (or is not) seen, assessing complicated multi-component interventions, and focusing on intervention improvement.

Data from first-hand observation, interviews, questionnaires, focus groups, participant-observation, recordings recorded in natural settings, documents, case studies, and artifacts are used in qualitative research. The information is mostly non-numerical.

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Answer:

11 to 20

Step-by-step explanation:

first you get the number 11

second you add 11 and 9 which equals 20

third you make it a ratio which is 11:20 or (11 to 20) and that's your final answer.

The best way to find the distance between the points (2,-1) and (6,6) is by using the distance formula.

The distance between the two points (2,-1) and (6,6) is 8.062 units (approximately).

Distance formula

The distance formula, is the algebraic expression that gives the distances between pairs of points in their coordinates.

The distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]  is given by:-

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

It is derived from the Pythagoras theorem.

We have,

[tex](x_1,y_1)[/tex] = (2,-1)

[tex](x_2,y_2)[/tex] = (6,6)

We have to find the distance between the two points (2,-1) and (6,6).

Hence, distance between the two points  (2,-1) and (6,6) is given by:-

[tex]\sqrt{(6-2)^2+(6-(-1))^2}=\sqrt{4^2+7^2}=\sqrt{16+49}=\sqrt{65}[/tex] ≈ 8.062 units.

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Answer:

Step-by-step explanation:

Let's analyze the graph.

We observe that:

Based on our observations, the least degree polynomial function will have the form of:

To find the value of a we'll use the y-intercept:

Let's prove it with local maximum:

So the function is:

The inequality to solve is:

Whenever we have absolute value inequality, we solve it in:

Now, solving it:

The quadratic quadratic equation represented in the graph has the equation  y = 2x² + 7x + 4 .

The values of x that satisfy the equation are the roots or zeros of the expressions on the left side of the equation. In a quadratic problem, there can only be two possible solutions.

The graph of the function which is quadratic can be represented by the equation in the standard form of

y=ax²+bx+c

The graph passes through the points (-4,0) , (-0.5,0) and (0,4)

Putting the values in the equation we get:

0 = 16a - 4b + c

4 = c

0 = 0.25 a +0.5b + c

Solving the equations we get :

16 a - 4 b = -4

0.25a -0.5 b = -4

a =2 and b = 7

The required quadratic equation is  y = 2x² + 7x + 4

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The coordinates of the point's image (1,-4) under the same translation are (2, 0)

Therefore,

The coordinates of the point's image (1,-4) under the same translation are (2, 0)

The x coordinate increased by 1, and the y coordinate increased by 4.

Now, do these same transformations to the other point, (1, -4)

x coordinate: 1 + 1 = 2

y coordinate: -4 + 4 = 0

So, the new point is (2, 0)

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Answer:

The answer is 0

Step-by-step explanation:

-57 cancels out 57 making it 0.

From the blue pre-image to the pink image. The transformation that occured is

(a) Reflection (x,y) → (x, -y)

Define reflection.

A flip is a term for a reflection in geometry. The shape is mirrored in a reflection. The line of reflection is a line through which an image will reflect. Every point in a figure is said to reflect the other figure if and only if it is equally spaced from every corresponding point in the other figure.

A line of reflection is required to perform a geometry reflection; the resulting orientation of the two figures is the opposite. The figures' corresponding parts are spaced at the same distance apart from the reflection axis. Ordered pair rules are reflected along the x-axis at (x, -y), the y-axis at (-x, y), and the line at y=x.

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The probability that a randomly chosen student is studying a language other than English is 0.43.

The probability that a randomly chosen student is studying french, german, or Spanish is 0.4.

This is a legitimate probability model since the random variable as well as the probability distribution function otherwise known as pdf has been provided in the question.

From the question, we can obtain the pdf as follows;

    Language:  Spanish   French   German   All others   None

    Probability:  0.30         0.08        0.02         0.03         0.57

The probability that a randomly chosen student is studying a language other than English is 1 - 0.57 = 0.43.

The probability that a randomly chosen student is studying french, german, or Spanish is the sum of the individual probabilities of french german, and Spanish which is equal to

0.30 + 0.08 + 0.02 = 0.4.

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[tex]x = \frac{5 +\sqrt{109} }{2} \text{ or }\\\\ x = \frac{5-\sqrt{109} }{2}[/tex]

How to find x?

4 x + 2 + x =  ___ x – 19

⇒ 4 x + 2 + x =  x(x) – 19

⇒ 5x+ 2  = [tex]x^{2}[/tex] - 19

⇒ 5x +2 - [tex]x^{2}[/tex] + 19 = 0

⇒ 5x - [tex]x^{2}[/tex] + 21 =0

⇒ -[tex]x^{2}[/tex] + 5x + 21 = 0

    [tex]x^{2}[/tex] - 5x - 21 = 0   ----(1)

(1) is of the form [tex]ax^{2} +bx+c=0[/tex]

In (1)  a = 1, b = - 5 , c = -21

Applying quadratic formula,

[tex]x = \frac{-b\pm\sqrt{b^{2} -4ac } }{2a} \\\\x = \frac{-(-5)\pm\sqrt{(-5)^{2} -4(-21)} }{2(1)} \\\\x = \frac{(5)\pm\sqrt{25 +84} }{2}\\\\x = \frac{5\pm\sqrt{109} }{2}\\\\x = \frac{5 +\sqrt{109} }{2} \text{ or } \frac{5-\sqrt{109} }{2}[/tex]

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The distance between the two parallel lines is 26 units

Parallel lines are lines that do not meet or intersect.

If y = mx +c as the equation of a straight line

For the line y = -5x

comparing with the standard equation of a line,

y = -5x has no y-intercept, so the coordinates of the point is (0,0)

For the second line y = -5x + 26

comparing with the standard equation

The y-intercept is 26, which means the coordinates of the point is (0, 26)

The distance between these two points is the distance between the two lines.

Formula for distance between two point,

D = [tex]\sqrt{(y_{2} -y_{1}) ^{2} + (x_{2} - x_{1}) ^{2} }[/tex]

D = [tex]\sqrt{(26-0)^{2} + (0-0)^{2} }[/tex]

D = 26 units

In conclusion, the distance between the two parallel lines is 26 units

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    Two or more algebraic equations that share variables, such as x and y, are said to be simultaneous equations. Since the equations are solved simultaneously, they are known as simultaneous equations. These equations alone could have an endless number of solutions.

Eq. 1: 20c + 10l = 320

Equation 2: c - l = 10

where x = total hours Caleb puts in y hours of work. Landon has a job

The total number of shirts that Caleb and Landon iron in an hour depends on how many hours each of them works overall.

The total number of shirts they can both iron is equal to the product of the number of shirts Caleb can iron in an hour and the number of hours he worked (shirts that Landon can iron in an hour x number of hours Landon worked)

Eq. 1: 20c + 10l = 320

Equations 1 and 2 must be solved jointly because they are simultaneous equations, and doing so will yield the solution.

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Answer:

It should be 1. If y(x)= 4 then x should equal 1. This way we get 4=4 which is true.

Step-by-step explanation:

4x1 = 4, so if you substitute 1 for x in your equation you get 4.

After Simplification, The final answer is 5.26923077

Reducing a mathematical expression to a simpler version is known as simplification. To simplify, utilize the BODMAS rule.

The letters B, O, D, M, A, and S stand for bracket, of, division, multiplication, and addition, respectively. Simplifying occurs when you explain a difficult mathematical concept to a young child in terms they can grasp. You have streamlined when you do away with many of the activities that were keeping you busy and stressed out.

Here,

[tex]\frac{2.5 \times 13.7}{4.9 + 1.6}\\\\\frac{34.25}{6.5}\\\\5.26923077[/tex]

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