What is the value for x in the equation below 2x=8

Answer:

The efficiency of this line is 0.85 = 85%.

Step-by-step explanation:

Efficiency:

The efficiency is given by the following formula:

\(E = \frac{T_t}{tn}\)

In which \(T_t\) is the total task time, \(t\) is the largest assigned cycle time and n is the number of workstations.

5 workstations

This means that \(n = 5\)

The sum of the 21 task times is 85 minutes.

This means that \(T_t = 85\)

The largest assigned cycle time is 20 minutes.

This means that \(n = 20\)

What is the efficiency of this line?

\(E = \frac{T_t}{tn} = \frac{85}{20*5} = \frac{85}{100} = 0.85\)

The efficiency of this line is 0.85 = 85%.

Answer:

3

Step-by-step explanation: because 15 divided by 5 equals 3

Answer:

  -4

Step-by-step explanation:

You want the value of (f·g)(-1) when f(x) = x² +3x and g(x) = 2x².

The product of the functions is the product of their values for each value of x.

  (f·g)(-1) = f(-1)·g(-1) = ((-1)² +3(-1)) × (2(-1)²) = (1-3)(2·1) = (-2)(2)

  (f·g)(-1) = -4

Answer:

4)

Step-by-step explanation:

Answer:

It's 4

Step-by-step explanation:

The coordinates of the point 3/10 of the way from a to b is (-0.3, -6.3)

The given parameters are:

The position of the point is given as:

Location = 3/10

Express as ratio

m ; n = 3 : 10 - 3

This gives

m ; n = 3 : 7

The coordinates of the point are then calculated as:

Point = Location * (mx2 + nx1, my2 + ny1)

This gives

Point = 3/10 * (3 * 9 + 7 * -4, 3 * 7 + 7 *  -6)

Evaluate

Point = 3/10 * (-1, -21)

This gives

Point =  (-0.3, -6.3)

Hence, the coordinates of the point 3/10 of the way from a to b is (-0.3, -6.3)

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Complete question

find the coordinates of the point 3/10 of the way from a to b

the coordinates of b is (9,7)

the coordinates of a is (-4,-6)

Answer:

False. The center of a semisimple Lie algebra is usually not trivial.

Step-by-step explanation:

The center of a semisimple Lie algebra is the set of elements of the Lie algebra that commute with all other elements in the algebra. In most cases, the center of a semisimple Lie algebra is not trivial, meaning it contains at least one non-zero element. For example, the center of the simple Lie algebra sl(2,C) contains the two-dimensional Lie algebra spanned by the scalar matrices I and -I. The center of the Lie algebra so(5,C) is spanned by the five-dimensional Lie algebra spanned by the matrices diag(1,1,1,-1,-1). These examples demonstrate that the center of a semisimple Lie algebra is usually not trivial.

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1. Triangle inequality theorem.

3. The missing lengths and angles are:

<B = 27.07, <C = 98 and c = 32.64.

1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.

3. We have,

a = 27, b = 15, and A = 55°,

Using the Law of Sines,

sin A/ a = sin B/ b

sin 55 /27 = sin B / 15

0.81915204428 / 27 = sin B /15

0.4550844690444 = sin B

<B = 27.07

Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98

Now, Using the Law of Sines

sin A/ a = sin C/ C

0.81915204428 / 27 = sin 98 / c

0.030338964602963 = 0.99026807 /c

c = 32.64

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A veterinarian suspects the expensive dog food is causing dogs to have upset stomachs. to find out she prescribes 4 dogs to eat the expensive dog food, and 4 dogs to eat the cheap dog food the test here used is sample z - test for p1 and p2 .

Given :

a veterinarian suspects the expensive dog food is causing dogs to have upset stomachs. to find out she prescribes 4 dogs to eat the expensive dog food, and 4 dogs to eat the cheap dog food. then she records whether each dog gets indigestion.

Z - test for 4 dogs to eat the expensive dog food is let p1 .

Z - test for 4 dogs to eat the cheap dog food is let p2 .

So it is clearly the test here used is sample z - test for p1 and p2.

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Answer: -3

Step-by-step explanation: well there is a pretty easy explanation for this because what you pretty much do is you put the answer around by doing 5-2 and just put a negative since the smaller number is in the front.

Answer:

B

Step-by-step explanation:

a prime polynomial is one which does not factor into 2 binomials.

its only factors are 1 and itself

attempt to factorise the given polynomials

3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )

= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(3x² - 2) ← in factored form

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

3x³ - 2x² + 3x - 4 ( factor the first/second terms

= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored

thus this polynomial is prime

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

4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )

= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term

= (2x + 1)(2x² + 3) ← in factored form

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

4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )

= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(4x² - 3) ← in factored form

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

the only polynomial which does not factorise is

3x³ - 2x² + 3x - 4

Given the frequency and number of possible outcomes, the number of days that must pass before it becomes probable that Janice will have had to pick up lunch at least once is 8.

Note that the probability of any of the staff at the office picking the food is 1/8.

Even if She does not pick up lunch on her first day or second, the number of days that must pass to make sure that Janice picks up lunch AT LEAST once is 1 in 8 days.

The formula to compute the probability of an event is equivalent to the ratio of favorable outputs to the total number of outputs. It is to be noted that probabilities always range between 0 and 1.

The expression is given as:

P (E) = f/O; where

P(E) is the Probability of an event E happening;

f =  The number of possible outcomes for an event (frequency)

n = Total number of outputs that are likely

Hence,

P(E) = 1/8

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The expression, the company can use to predict the value of the car is v =32000 (0.8)^t

The company which provides term life or accidental or death insurance in terms of money when one subjects to any of the conditions.

Given is an insurance company estimates that the value of a car depreciates by 20% each year (That also means it retains 80% of its value each year). The company used an exponential function to predict the value of a car, v, as a function of time, t, in years.

The rate of interest r in percentage = 100 - 20 = 80%

If the value of a brand new car is  P =$32,000.00.

The value of car will be

value =  P x r^t

v = $32,000 x(0.8)^t

Thus, this is the expression insurance company uses to find the value of car.

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Answer:

714

Step-by-step explanation:

587,714 they arrange in orderly form

A number greater than 714,587 is 714,588

The complete question is added as an attachment

From the attached figure, we have:

Passengers = 714,587

Numbers greater than 714,587 would have a value greater than 714,587

This is represented as:

x > 714,587

The above inequality represents numbers greater than 714,587

An example of such number is 714,588

Hence, a number greater than 714,587 is 714,588

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Answer:

Length of a Road

Step-by-step explanation: No man that has ever lived (Well unless they're a nephilim or smth) is over a mile tall. Swimming pools and buildings aren't usually big enough to be measured in miles unless they're either a skyscraper or a Wisconsin water park attraction.

The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.

In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:

x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]

x = 284.372 mi

The distance x is equal to 284.372 miles.

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29 years from now, the father will be 49 years old.

Let's start by setting up the given information:

Currently, the father is 20 years old, and the son is 5 years old.

In 10 years, the father will be twice as old as the son.

The father is currently four times as old as the son.

Determine the age of the father and son in 10 years:

In 10 years, the father's age will be 20 + 10 = 30 years.

In 10 years, the son's age will be 5 + 10 = 15 years.

Write equations based on the given information:

The father's age in 10 years will be twice the son's age in 10 years: 30 = 2 × 15.

The father's current age is four times the son's current age: 20 = 4 × 5.

Solve the equations:

From the second equation, we find that the son's current age is 5 years.

Plugging this value into the first equation, we get: 30 = 2 × (5 + 10).

Simplifying further, we have: 30 = 2 × 15, which is true.

Determine the current age of the son in 29 years:

The son's current age is 5 years.

Adding 29 years to the son's current age, we find that the son will be 5 + 29 = 34 years old.

Determine the current age of the father in 29 years:

The father's current age is 20 years.

Adding 29 years to the father's current age, we find that the father will be 20 + 29 = 49 years old.

Therefore, 29 years from now, the father will be 49 years old.

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Answer:

\(\frac{3\pi}{4}\)

Step-by-step explanation:

Recall that co-terminal angles are angles which when drawn at standard position share a terminal side. Since we are restricted to the interval [0,2π], recognize that \(\frac{19\pi}{4}=\frac{16\pi}{4}+\frac{3\pi}{4}=4\pi+\frac{3\pi}{4}=2\pi+2\pi+\frac{3\pi}{4}=\frac{3\pi}{4}\). So, the co-terminal angle is \(\frac{3\pi}{4}\).

The calculated value of x at g(x) = 2 is x = 2.5

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

f(x) = 3x - 1

Also, we have

g(x) = 2x - 3

When g(x) - 2, we have

2x - 3 = 2

So, we have

2x = 5

Divide by 2

x = 2.5

Hence, the value of x at g(x) = 2 is x = 2.5

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Answer:

Direct variation

\(k = 2.5\)

Step-by-step explanation:

Given

The attached table

Required

The type of variation

First, we check for direct variation using:

\(k = \frac{y}{x}\)

Pick corresponding points on the table

\((x,y) = (-2,-5)\)

So:

\(k = \frac{-5}{-2} = 2.5\)

\((x,y) = (4,10)\)

So:

\(k = \frac{10}{4} = 2.5\)

\((x,y) = (6,15)\)

So:

\(k = \frac{15}{6} = 2.5\)

Hence, the table shows direct variation with \(k = 2.5\)

The degree of the expression \(8ax^4\) is 4.

The degree of a monomial expression is defined as the highest exponent of the variable in that expression.

In this case, we have the expression \(8ax^4\), where x is the variable and its highest exponent is 4.

The coefficient 8a is just a constant multiple and does not affect the degree of the expression.

Therefore, the degree of the expression 8\(ax^4\) is 4. It is important to understand the concept of degree, as it helps us to classify polynomial expressions and determine their behavior.

Furthermore, by knowing the degree of an expression, we can also determine the number of possible roots or solutions of that expression.

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Question

"What is the degree of the expression 8ax^4?"

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

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

(y-7)/(x+2)=(-12)/4

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

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

The body surface area is given by the equation A = 1.6865 m²

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the body surface area be represented as A

Now , the equation will be

A = ( HW / 3600 )^1/2

A = √( HW / 3600 )   be equation (1)

where H is the height in centimeters and W is the weight in kilograms

Now , the value of H = 160 cm

The value of W = 64 kg

Substituting the values in the equation , we get

A = √ [ ( 160 x 64 ) / 3600 ]

On simplifying the equation , we get

A = √ ( 10240/3600 )

A = √ ( 2.8444 )

A = 1.6865 m²

Therefore , the body surface area is 1.6865 m²

Hence , the equation is A = 1.6865 m²

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Answer:

x = 3

Step-by-step explanation:

Answer: 16.13

Step-by-step explanation: 40 divided by $2.48

Answer:

2/3 or 66.7%

Step-by-step explanation:

there are 6 possible options. 2 of them are red. 6 options minus 2 = 4=4/3=2/3

Answer:

300-20w=?

150+10w=?

Step-by-step explanation:

Answer:

Step-by-step explanation:

320

Based on the information given, it should be noted that the correct option is C. 3x - 8.

From the information given, it was stated that Kim has 8 dollars less than twice Ricky. This will be:

= (2 × x) - 8.

= 2x - 8

Also, Ricky has x dollars. Therefore, the amount that they have together will be:

= 2x - 8 + x

= 3x - 8

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Answer:

The median is 46 g

Step-by-step explanation:

The median of a data set is the middle value. Since there are six snacks, which is an even number, you can't pick out a single middle value. Instead, to get the middle value you have to add the middle 2 numbers together and then divide them by 2 for the median.

Answer:

A. total hourly pay $380.00 &

B. total pay for the week $493.25

Step-by-step explanation:

38 hours x $10 per hour = 380.00

755 unit products x .15 = 113.25

380 hourly pay + 113.25 unit pay = 493.25