Don’t get how I can figure out the Explicit Equation from this

The value of the expression 2 x 4² + 5 will be 37

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given is the following expression -

2 x 4² + 5

On solving the expression, we get -

2 x 4² + 5

2 x 4 x 4 + 5

32 + 5

37

The value of the expression 2 x 4² + 5 will be 37

Therefore, the value of the expression 2 x 4² + 5 will be 37

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He got 11 vacation days in five years.  If his annual salary is $64,480 he earned during his vacation days $2277

The average nationwide is 10, however it varies a little by industry and area. These days off—generally regarded as vacation time—usually get longer the longer an employee works. For the majority of businesses, an employee can receive an additional three to four days per year every five years based on longevity.

The normal recommendation is to wait three to six months. However, the organization and its culture have a big impact. He continued by saying that many businesses make it very clear what their vacation policy is. Some employers allow you to accumulate additional vacation time the longer you work

64,480/12 =5373.33

5373.33/26 = 207

207 x 11 =2277

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He got 11 vacation days in five years.  If his annual salary is $64,480 he earned during his vacation days $2277

The average across the country is 10, but it varies slightly by region and industry. The length of these vacation days typically increases with an employee's length of service. Based on longevity, most companies allow employees to get an extra three to four days per year every five years.

The usual advice is to hold off for three to six months. The organization and its culture, however, play a significant role. He went on to remark that a lot of companies are quite explicit about their vacation policies. The longer you work for some employers, the more vacation time you can accrue.

64,480/12 =5373.33

5373.33/26 = 207

207 x 11 =2277

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Answer:

The cost would be $99 with each artist if the job took Eva 1 hour

Step-by-step explanation:

99=10x+89

subtract 89 from both sides

10=10x

1=x

Nice work on selecting "invalid" as the correct answer.

The reason why this argument is invalid is because the 'x' could be in circle B or could be outside circle B. There's simply not enough information.

The venn diagram would either be (A) or (D).

The only information we know is that Fred is does not live in San Francisco, so the 'x' will not be placed inside circle A.

Ignore any diagram where x is on the edge of a circle. That isn't allowed in venn diagrams because a person is either in San Francisco, or they aren't (same goes with California). We can't have blurry boundaries like that. This means venn diagrams (B) and (C) are nonsensical.

An ordered pair which is a solution to the given system of linear equations is: (1, 4).

In order to determine which ordered pairs are valid and true solutions based on the given system of linear equations, we would have to test the given ordered pairs by substituting their values into the linear equations as follows;

For ordered pair (0, -4), we have:

-3x + 2y = 5

-3(0) + 2(-4) = 5

0 - 8 = 5

-8 = 5 (No)

For ordered pair (-3, 5), we have:

-3x + 2y = 5

-3(-3) + 2(5) = 5

9 + 10 = 5

19 = 5 (No)

For ordered pair (1, 4), we have:

-3x + 2y = 5

-3(1) + 2(4) = 5

-3 + 8 = 5

5 = 5 (Yes)

For ordered pair (1, 4), we have:

y = 8x - 4

4 = 8(1) - 4

4 = 4 (Yes).

For ordered pair (-7, -8), we have:

-3x + 2y = 5

-3(-7) + 2(-8) = 5

21 - 16 = 5

5 = 5 (Yes)

For ordered pair (-7, -8), we have:

y = 8x - 4

-8 = 8(-7) - 4

-8 = -58 (No).

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Answer:

[tex]f^{-1}(y) = \sqrt{x-5}[/tex]

Step-by-step explanation:

You have to switch the f(x) to x and the x's to y's

[tex]x = y^2 + 5[/tex]

[tex]\sqrt{x-5} = \sqrt{y^2}[/tex]

[tex]y = \sqrt{x - 5}[/tex]

Answer:

Step-by-step explanation:

She needs to sell 65 necklaces.

solution: [tex]x > -175[/tex]

interval notation:  (-175, ∞)

explanation:

[tex]-\frac{1}{5}x + 4 < 39\\[/tex]

Subtract 4 from both sides

[tex]-\frac{1}{5}x +4-4 < 39-4\\[/tex]

Simplify

[tex]-\frac{1}{5}x < 35[/tex]

Multiply both sides by -1 (reverse the inequality)

[tex](-\frac{1}{5}x )(-1) > 35(-1)[/tex]

Simplify

[tex]\frac{1}{5}x > -35\\[/tex]

Multiply both sides by 5

[tex]5[/tex] ·[tex]\frac{1}{5}x > 5(-35)[/tex]

Simplify

[tex]x > -175[/tex]

The probability that the proportion of Labradors in a sample of 694 pet dogs would differ from the population proportion by less than 3% is 0.9964

The probability is calculated using z score, this is used to determine the amount of standard deviations a sample, X is from the mean

The z score is given by the formula

z = (X - μ) / σ

Definition of variables

mean, μ  = p = 8% = 0.08

sample size, n = 694

standard deviation, σ

= √{(p(1 - p)) / n}

= √{(0.08(1 - 0.08)) / 694}

= √{(0.08 * 0.98) / 694}

= 0.0103

The probability

differ from the population proportion by less than 3%

|X - 0.08| < 0.03

X < 0.11 OR X > 0.05

0.05 < X < 0.11

P(z < 0.11) - P(z < 0.05 )

z score for z < 0.05

z = (0.05 - 0.08) / 0.0103

= -2.9126

p value for z < -2.9126 = 0.001792

z score for z < 0.12

z = (0.12 - 0.09) / 0.0102

=  2.9412

p value for z < 2.9412 = 0.9982

The probability required = 0.9982 - 0.0016 = 0.9964 or 99.64%

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y = -2x is line parallel to given line.

What is line?

A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that are endlessly stretched in the opposing directions.

Main body:

The slope-intercept form is

y=mx+b, where

m is the slope and b is the y-intercept.

y=mx+b

Using the slope-intercept form, the slope is −2.

m=−2

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Use the slope −2 and a given point (0,0) to substitute for

x₁ and y₁ in the point-slope form

y−y₁=m(x−x₁)

, which is derived from the slope equation

m=(y₂−y₁)/(x₂−x₁).

y−(0)=−2*(x−(0))

Simplify the equation and keep it in point-slope form.

y+0=−2⋅(x+0)

Solve for y.

y=−2x

Hence y = -2x is line parallel to given line.

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Answer: first graph

Step-by-step explanation:

Answer: 24 kids playing

Step-by-step explanation: Since the ratio of the kids playing and resting is 3:1, and there are 8 kids resting, replace the 1 with 8, and multiply the 3 with 8 to make the equation balanced. 24:8!

The statement that proves the claim about the angle is incorrect is that;

c) Incorrect because arctan(-3/4) = -36.87

The 6 main trigonometric ratios of a right angle triangle are;

Sine θ = length of the opposite leg / length of the hypotenuse

Cosine θ = length of the adjacent leg / length of the hypotenuse

Tangent θ = sine θ/cosine θ = opposite leg / adjacent leg.

cosecant θ = 1 / sine θ = hypotenuse / opposite leg

secant θ = 1 / cosine θ = hypotenuse / adjacent leg

cotangent θ= 1 tangent θ = adjacent leg / opposite leg.

Now, we are told that the angle formed is 53.13°. Since the options are either arctan or arccos, we will use them to verify the angles;

cos 53.13° = 0.6

tan 53.13° = 1.33

They are both positive and it means both x and y values are positive since we are told that it involves the positive x-axis.

Thus, y/x cannot be negative or -3/4 as given.

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The percentage of people over speeding on this road on purpose is 9%

Percent of people speeding on this road noticed the sign = Percentage of people who notice the speed limit at the beginning of the road - Percentage of people who notice the sign and follow the speed limit

= 84% - 75%

= 9%

In conclusion, the percentage of people who intentionally speed on purpose is 9%

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Answer:

Step-by-step explanation:

Answer:Say w= the amount of water in oz, then the 60% of the solution is 250 - w

Set up the equation:

Use distributive property first

0.60(250-w) = 0.15 x 250

Isolate to solve for w

150- 0.60w= 37.5

-0.60w= 37.5-150

0.60w= -112.5

w= 187.5 ounces

250-187.5= 62.5 ounces salt solution



Therefore, she must use 187.5 ounces of water and 62.5 ounces of salt solution for her experiment.

Hope this helps!

Step-by-step explanation:

The amount John will spend on food for each cow per month is approximately 15.08 dollars

John is in charge of feeding the pigs and cows on the farm.

The cow's food costs twice as much as the pig's food.

Let

x = cost of pigs food

y = cost cow's food

Hence,

y = 2x

There are 46 cows and 22 pigs on the farm. John has an $860 budget for food a month.

46y + 22x = 860

Therefore, let's combine the system of equation.

y = 2x

46y + 22x = 860

46(2x) + 22x = 860

92x + 22x = 860

114x = 860

x = 860 / 114

x = 7.5 dollars

y = 2(7.54) = 15.08 dollars

Therefore, the cost of food for each cow is 15.08 dollars

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the upper 40 percent round answers to 1 decimal place is 113.1

mean( [tex]\mu\\[/tex]) = 117 mg/dL

S.D.(σ) = 15.2 mg/dL

The r code which is used to get 40th percentile in qnorm(0.4,117, 15.2 ) = 113.1

What is mean?

Mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations), the geometric mean, and the harmonic mean.

What do you mean by geometric mean?

Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values.

What do you mean by arithmetic mean?

The quantity obtained by summing two or more numbers or variables and then dividing by the number of numbers or variables.

What do you mean byharmonic mean?

The harmonic mean is the reciprocal of the arithmetic mean of the reciprocals.

What do you mean by Standard Deviation?

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

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The number of parks per capita when there is the total population of 870,000 people and there are 212 parks is 4,103.77358.

“Per capita” is a Latin term that means “per head.” This term is used to express the average per person, the term “per capita” is occasionally used in statistics instead of “per person.”

On a given case, the per capita parks for population can be calculated by dividing total population by total parks.

According to the given illustration,

Total population of city = 870,000

Total Parks= 212

Calculation of parks per capita in the city of Indianapolis:

Per capita shops = Total population/ Total shops

Per capita shops =870,000/212

Per capita shops = 4,103.77358

Therefore, the number of parks per capita is 4,103.77358.

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Answer:

Gerald received the higher rate of increase

Step-by-step explanation:

Answer:

M'(-3, -4)

Step-by-step explanation:

the coordinate rules for a rotation of 180 degrees is (x, y) --> (-x, -y)

Basically, you just change both values (x and y) of M to negative. Then bam, u got the coordinates for M'

Answer:

  6922 TV sets

Step-by-step explanation:

You want the production in the 15th year if production in the first year is 1000 and it increases yearly by a constant amount. The total production in the first 10 years is 29035.

An arithmetic series is one that has a constant difference from one term to the next. If a1 is the first term of the series, and d is the common difference between terms, the n-th term is ...

  an = a1 +d(n -1)

And the sum of n terms is ...

  Sn = (2a1 +d(n-1))(n/2)

To find the 15th term, we can make use of the given values to find the common difference, then use the formula for the n-th term.

  S10 = (2(1000) +d(10 -1))(10/2) . . . . . sum formula with a1=1000

  29035 = 10000 +45d . . . . . . . . . . . simplified

  d = (29035 -10000)/45 = 423 . . . . the increase in production each year

Production in the 15th year is ...

  a15 = 1000 +423(15 -1) = 1000 + 5922 = 6922

The output in the 15th year was 6922 TV sets.

Answer:

The slope of this line is undefined.

Answer:

Step-by-step explanation:

You want the measures of supplementary angles x° and (x-58)°.

Consecutive interior angles where a transversal crosses parallel lines are supplementary.

  x° +(x -58)° = 180°

  2x = 238

  x = 119

  x -58 = 61

The two angles are ...

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The 80,000 BD Villa in Saar Mr. Abbas plans to sell at a 40% profit , with the annual house price growth rate of 7% (compounded) gives the number of years Mr. Abbas has to wait as approximately 5 years

The growth rate is the rate at which the value changes within a specified period.  

The amount Mr. Abbas bought the Villar in Saar = 80,000 BD

The profit at which he intends to sell it = 40% = 0.4

The rate at which the house prices rise on average = 7 % per annum

The formula for future value, FV is presented as follows;

[tex]FV = PV\cdot \left(1+\dfrac{r}{100} \right)^n[/tex]

Where;

FV = The future value = 80,000 BD + 0.4 × 80,000 BD = 112,000 BD

PV = The present value = 80,000 BD

r = The rate at which the house prices increases annually

n = The number of years

Which gives;

[tex]112,000 = 80,000\cdot \left(1+\dfrac{7}{100} \right)^n[/tex]

[tex]n = \dfrac{ln\left(\dfrac{112,000 }{80,000}\right) }{ln\left(1+\dfrac{7}{100} \right) } \approx 5[/tex]

The number of years Mr. Abbas has to to wait, n ≈ 5 years

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Answer:

$2.20

Step-by-step explanation:

6.6/3=2.2

The given polynomial solved as same as RHS is x^3/3(x^2- 1/x^2)

Polynomial is defined as the sum of variable terms in the form of k×x^n, where k is constant and x variable and n is an integer.

we have given a polynomial,

(x-1/x)(x^4/3+x^2/3) = (x^3/3)(x²-1/x²)

Take LHS

⇒  (x-1/x)(x^4/3+x^2/3)

⇒  (x^2-1/x)×(x^4 + x^2/3)

⇒  (x^2-1/x) x^2(x^2+1/3)

⇒  x^2/3x (x^2-1)(x^2+1)

⇒​x^2/3x(x^4-1)                                  ∴(a^2-b^2 = (a+b)(a-b))

multiply numerator and denominator by x

⇒x^3/3 (x^4-1/x^2)

⇒x^3/3(x^2- 1/x^2) = RHS

Hence, given problem has solved.

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Answer:  The correct answer in 9/12

Step-by-step explanation:

For 3/4, the numerator is 3 and the denominator is 4

To change the denominator to 12, you must multiply by 3 (12/4=3)

3/4 * 3/3

= (3*3)/(4*3)

= 9/12

Point A will represent the input-output values of the function.

What is number line ?

Number line is virtual representation of numbers along with coordinates axis with number equally spaced with equal number of interval.

In the graph of y = f(x),

For every x-value (input value), value of the function is the y-value (output value).

For the input value x = 2,

Output value of the function will be,

y = f(2)

Therefore, point A will represent the input-output values of the function.

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