Simplify

3/4a - 2/3 - 1/2a + 5/6= ????

9514 1404 393

Answer:

  C. Division: (x^2-5x+3)÷(x-2)=x-3+-3/x-2

Step-by-step explanation:

The set of polynomials is closed under all basic arithmetic operations except division. The reciprocal of a (non-constant) polynomial is not a polynomial.

The division example shown in choice C illustrates the set is not closed under division.

The seven ordered pairs that fit on the axes of the graph include the following:

In order to use the given polynomial function to complete the table, we would have to substitute each of the values of x (x-values) into the polynomial function and then evaluate as follows;

When the value of x = -3, the output value of this polynomial function is given by;

y = x³ + 6

y = (-3)³ + 6

y = -27 + 6

y = -21

By observing critically the graph (see attachment), we can logically deduce that it represents a polynomial function.

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Answer:

Step-by-step explanation:

No

Answer:

  $6.70 per hour

Step-by-step explanation:

We want to compare the pay for 1 hour's work.

The equation tells us that her pay for working 1 hour can be found from the equation using x=1.

  y = 22.2x

  y = 22.2×1 = 22.2 . . . . pay for 1 hour

Melanie earns $22.20 per hour.

We assume that Olivia's pay is proportional to hours worked, so pay for 40 hours will be 40 times 1 hour's pay.

  pay per hour = $1156/(40 h) = $28.90/h

Olivia earns $28.90 per hour.

The difference in their rates of pay is ...

  $28.90 -22.20 = $6.70

Melanie earns $6.70 less per hour than Olivia.

Answer:

104 square feet

Step-by-step explanation:

Total area of the wall: 10 x 16 = 160 square feet

Area of each window: 4 x 7 = 28

Since there are 2 windows, the total area that should not be painted is 28 x 2 = 56 square feet

160 - 56 = 104 square feet

To determine the area of the space to be painted on a wall with two rectangular windows, we need to calculate the total area of the wall and subtract the area of the windows.

First, let's calculate the area of the wall. The wall is 10 feet high and 16 feet wide, so the total area of the wall is: Area of wall = height × width = 10 feet × 16 feet = 160 square feet Next, let's calculate the area of each window. Each window is 4 feet high and 7 feet wide, so the area of each window is: Area of window \(= height × width = 4 feet × 7 feet = 28\)  square feet Since there are two windows, the total area covered by the windows is 2 times the area of one window,

Which is: Total area of windows \(= 2 × 28\) square feet = 56 square feet Finally, we can calculate the area of the space to be painted by subtracting the total area covered by the windows from the total area of the wall: Area to be painted = Area of wall - Total area of windows = 160 square feet - 56 square feet = 104 square feet Therefore, the area of the space to be painted on the wall is 104 square feet.

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ANSWER

EXPLANATION

We are given that d is an acute angle, such that:

To find the value of d, we have to find the cosine inverse of both sides of the function.

That is:

Now, simplify:

That is the value of d.

You have to multiply 3/8 by 9 and then you get your answer which is 3.375

To find the probability that Naomi selects both white balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of outcomes:

Naomi selects 2 balls without replacement, so the total number of outcomes is the number of ways she can choose 2 balls out of the total number of balls in the bag. This can be calculated using combinations:

Total outcomes = C(20, 2) = (20!)/(2!(20-2)!) = (20 * 19)/(2 * 1) = 190

Number of favorable outcomes:

Naomi needs to select 2 white balls. There are 2 white balls in the bag, so the number of favorable outcomes is the number of ways she can choose 2 white balls out of the 2 white balls in the bag:

Favorable outcomes = C(2, 2) = 1

Probability = Favorable outcomes / Total outcomes = 1/190

Therefore, the correct answer is (G) 1/190.

Answer:

Cost = 750,000

Income per year = 5 x 100,000 + 75,000 x 3 = 725,000

Income for 4 years = 4 x 725,000 = 2,900,000

Profit = 2,900,000 - 750,000 = 2,150,000

Step-by-step explanation:

The result to the equation is x = 7.

To find the results of the equation √( 2x- 5) 4 = 1, we can break it step by step

Abate 4 from both sides of the equation

√( 2x- 5) = 1- 4

√( 2x- 5) = -3

Square both sides of the equation to exclude the square root

√( 2x- 5))² = (- 3)²

2x- 5 = 9

Add 5 to both sides of the equation

2x = 9 + 5

2x = 14

Divide both sides of the equation by 2

x = 14/2

x = 7

Thus, the result to the equation is x = 7.

Checking the extraneous result

Substituting x = 7 back into the original equation

√(2(7)-5)+4=1

√(14-5)+4=1

√9+4=1

3+4=1

7 = 1

This equation isn't true, which means that x = 7 is an extraneous result.

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A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.

This version is also referred to as zero-intercept regression or homogeneous regression.

It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.

The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.

However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.

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Answer: 14/7 = 7/1 = 7

Step-by-step explanation: there is the formula for it.

Y2 - Y1

X2 - X1

Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

The required angle is 35 degrees whose supplementary angle is 35 degrees more than twice its complementary angle.

The definition of a supplementary angle is that it adds up to 180 degrees.

Let's represent the required angle as "x".

We know that the supplementary angle to "x" is 180 - "x".

Similarly, the definition of a complementary angle is that it adds up to 90 degrees, so we know that the complementary angle to "x" is 90 - "x".

Given that the supplementary angle to "x" is 35 degrees more than twice its complementary angle, so we can write this as an equation:

180 - x = 2(90 - x) + 35

Simplifying this equation, we get:

180 - x = 180 - 2x + 35

Adding x to both sides, we get:

x = 35

Therefore, the required angle is 35 degrees.

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The number of ways it can be done if order of the choices is taken into consideration is 15,444 ways

Permutation has to do with arrangement and combination has to do with selection.

If we are choosing 5 objects, without replacement, from 15 distinct objects, this has to do with permutation if the order of the choices is taken into consideration

15P5 = 15!/(15-5)!5!
15P5 = 15!/10!5!
15P5 = 15*14*13*12*11/5*4*3*2

15P5 = 15,444 ways

Hence the number of ways it can be done if order of the choices is taken into consideration is 15,444 ways

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Complete question

Suppose we want to choose 5 objects, without replacement, from 15 distinct objects. How many ways can this be done, if the order of the choices is taken into consideration?

Answer:

11/100 or 0.11

Step-by-step explanation:

10^-2 is also equal to 1/100

10^-1 is also equal to 1/10

Simply add them now:

1/100+1/10

= 1/100+ 10/100

= 11/100=0.11

Hope this helped!

Answer:

y = 3(x-1)^2 -3

Step-by-step explanation:

y = 3(x+5)^2 - 2

vertex: (-5, -2)

1 unit down :

-2 - 1 = -3

6 units to the right:

3(x+5-6)^2 -2

3(x-1)^2 - 2

make what's in the parenthesis equal to 0:

(x-1)^2 = 0

x = 1

or

-5 + 6 = 1

new vertex : (1, -3)

equation : y = 3(x-1)^2 -3

Translation involves shifting of points from one position to another. The equation of the new parabola is: \(y = 3(x - 1)^2 - 3\)

Given that:

\(y = 3(x + 5)^2 - 2\)

\((h,k) = (-5,-2)\) --- vertex

The general equation of a parabola is:

\(y = a(x - h)^2 + k\)

By comparison:

\(a = 3\\ h = -5 \\ k= -2\)

When the vertex is shifted 1 unit down, the rule is:

\((x,y) \to (x,y-1)\)

So, we have:

\((x,y) \to (-5,-2-1)\)

\((x,y) \to (-5,-3)\)

When the vertex is shifted 6 unit right, the rule is:

\((x,y) \to (x + 6,y)\)

So, we have:

\((h,k) \to (-5 + 6,-3)\)

\((h,k) \to (1,-3)\)

This means that:

\(h = 1\\ k =-3\)

Recall that:

\(a =3\)

Substitute these values in:

\(y = a(x - h)^2 + k\)

\(y = 3(x - 1)^2 - 3\)

Hence, the equation of the new parabola is: \(y = 3(x - 1)^2 - 3\)

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a. The probability of no insect contaminants in a 225-gram bar from a brand at the mean contamination level can be found using the Poisson probability formula:

\(P(X = 0) = \frac{ (e^{-λ})(λ^0)}{0!} = \frac{(e^{-14.4})(14.4^0)}{0!}= 0.000000831\)

b. If you consume a bar that is one-fifth the size tested (45 grams) from a brand at the mean contamination level, the mean number of insect fragments would be one-fifth of 14.4, or 2.88. The probability of no insect contaminants can be found using the Poisson probability formula:

\(P(X = 0) = \frac{(e^-λ)(λ^0)}{0!} = \frac{(e^-2.88)(2.88^0)}{0!} = 0.056032\)

c. If you consume seven 28.35 gram (one-ounce) bars this week from a brand at the mean contamination level, the mean number of insect fragments would be (7 * 28.35/225) * 14.4 = 5.4336.

The probability of consuming one or more insect fragments in more than one bar can be found using the Poisson probability formula and the complement rule:

\($$\begin{aligned}& P(X>1) \\& =1-P(X \hat{a} 1) \\& =1-\left[\left(e^{-} \hat{I}\right)\left(\hat{I}^0\right) / 0 !+\left(e^{-} \hat{I}\right)\left(\hat{I}^1\right) / 1 !\right] \\& =1-\left[\left(e^{-} 5.4336\right)\left(5.4336^0\right) / 0 !+\left(e^{-} 5.4336\right)\left(5.4336^1\right) / 1 !\right] \\& =0.994784\end{aligned}$$\)

d. The probability of contamination more than twice the mean of 14.4 can be found using the Poisson probability formula and the complement rule:

\(P(X > 28.8) = 1 - P(X ≤ 28.8) \\= 1 - ∑(e^-λ)(λ^x)/x!\\ = 1 - 0.999999999999999 \\= 0.000000000000001\)

This probability is extremely small, so it can be considered unusual and not typical variation.

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Answer:

Question 1 : Pierre is right

Question 2 : 0.85 (because 1 - 0.15 = 0.85)

Question 3 : Less than 1

Step-by-step explanation:

Tax is a financial charge or levy imposed by a government or other authority on income, goods, services, or activities.

Taxes are typically used to generate revenue to fund government programs and services, such as infrastructure, education, healthcare, and public safety.

Taxes may also be used to incentivize or discourage certain behaviors or to redistribute wealth and reduce inequality.

Taxes can take many different forms, such as

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Answer: B  - 3 3/4 cubic inches

Step-by-step explanation:

A = BH; B = wl

2 * 1 1/4 = B

B = 2 1/2

H = 1 1/2

2 1/2 * 1 1/2 = 3 3/4

Answer:

slope is -1

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

the line goes through the x axis at 4

Number of ways total inventory of 32 batteries  be distributed among the 8 different types - 15257889504

The number of possible arrangements for a given set is determined mathematically, and this process is known as permutation. The term "permutation" simply refers to the variety of possible arrangements or orders. The positioning of the permutations matters a lot.

Number of ways total inventory of 32 batteries  be distributed among the 8 different types -

39!/30! 7! = 39X38X37X36X35X34X33X32X31 / 7X6X5X4X3X2X1

= 15257889504

Number of ways total inventory of 32 batteries  be distributed among the 8 different types, in inventory must include A76 - 35! / 28! 7!

= 35X34X33X32X31X30X29 / 7X6X5X4X3X2X1 = 6714520

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The width of the rectangular base of the pyramid is approximately 3.74 cm, and the length is approximately 11.22 cm (since it is given as 3x+1).

The base of a pyramid can be any polygon, such as a square or a triangle, but the height must always be measured perpendicular to the base.

Dimensions refer to the number of coordinates needed to specify the location of an object in space.

Based on the given information, we can set up an equation to solve for x, which is the width of the rectangular base of the pyramid:

Volume of pyramid = 1/3 × base area ×height

96 = 1/3 ×(3x+1) × x ×12

Simplifying the equation:

96 = 4x² + (4/3)x

Multiplying both sides by 3 to eliminate the fraction:

288 = 12x² + 4x

Rearranging the equation into a quadratic form:

12x² + 4x - 288 = 0

Dividing both sides by 4 to simplify the equation:

3x² + x - 72 = 0

We can then use the quadratic formula to solve for x:

x = (-b ± \(\sqrt{(b^2-4ac)}/2a\)

where a = 3, b = 1, and c = -72.

Plugging in the values:

x=(-1±\(\sqrt{1^2-4(3)(-72)} /2(3)\))

x=(-1±\(\sqrt{1+864} /6\))

x = (-1 ±\(\sqrt{865} /6\) )

Since the width of the base cannot be negative, we take the positive solution:

x = (-1 + √(865) / 6

Therefore, the width of the rectangular base of the pyramid is approximately 3.74 cm, and the length is approximately 11.22 cm (since it is given as 3x+1).

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Answer:

2/3 - 1/2 = 1/6

Step-by-step explanation:

Find the lcm of the denominator (3 and 2) which is 6. Now with the lcm of those 2 denominator you can find the answer by simply multiplying both the denominator until they get to 6. So you multiply 3 by 2 and 2 by 3, and both denominator should both be 6 meaning you have to do the same thing to the numerator, you have to multiply them by the same number you multiplied in the denominator so 2/3 becomes 4/6 and 1/2 becomes 3/6. The question should now be 4/6 - 3/6, you can now just minus the numerator, 4/6 - 3/6 = 1/6.