suppose that a community contains 15,000 people. at time time, t, the number n (t) of people who have a gene that causes a triangle on their forehead is 5,000 and is increasing at a rate of 500 per day.

Answer: $6,000,000 = 40%

               $2,800,000 = 18.66666667%

Step-by-step explanation:

Divide the sales by the total sale.

Ex:

6,000,000/15,000,000 = .4

2,800,000/15,000,000 = .1866666667

The algebraic equation representing cost can be given as C= 85n+1500.

What is an equation in one variable and power one?

The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers and x is a variable. This equation has only one solution which can be found by separating the constant and variable terms in the equation.

We are given that A banquet hall charges $1500 to rent the hall and $85 per guest that attends.

Let the number of guests be n

Hence, The equation can be given as

C = 85n+1500

Where C is the cost, n is the number of guests attending.

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The descending order of the multiplied polynomial is 4x² - 3x + 8xy - 6y

The word polynomial in math refers the algebraic expression in which the exponents of all variables should be a whole number.

Here we have given the polynomial l (x + 2y)(4x - 3).

And we need to do the multiplication operation on it and then write your answer in descending order of x.

AS per the following formula, the multiplication of the polynomial is calculated as,

=> (a + b) ( c + d) = (ac + ad + bc + bd)

Here let us consider a = x and b = 2y, c = 4x and then d = -3

Then the resulting value after the multiplication, it can be written as,

=> (x(4x) + x(-3) + 2y(4x) + 2y(-3))

When we simplify this one then we get

=> 4x² - 3x + 8xy - 6y

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Answer: 20%

Step-by-step explanation: Annual depreciation = $2,600 * 12 = $31,200

Annual depreciation rate = Annual depreciation /Depreciable costs

= $31,200 / ($188,000 - $32,000)

= 20%

The value of X is 22.

Value is regard that something is held to deserve,  the important worth or usefullness of something.

The calculation is as follows:

In the case of an isosceles trapezoid if there is any lower base angle is supplementary to any upper base angle.

So,  

6x + 2x + 4 = 180

8x + 4 = 180

8x = 176

x = 22

Therefore we can conclude that The value of X is 22.

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The value index for grains produced in 2018 is 1.101

the year-end price and production of grains for 2015 and 2018 are listed

Grain   price(2015) production(2015)    price(2018) production (2018)

Oats      2.4878        1298                        2.5712           814

Wheat    5.0936       26117                       4.9757          51287

Corn      3.7829        345506                  3.7043            366287

Barley    5.0836       4750                       4.9757            3333

The value index can be calculated by using the formula

V = ∑P₁Q₁/P₀Q₀

V = ((2.5712 x 815) + (4.9757 x 51287) + (3.7043 x 366287) + (4.9757 x 3333))/ ((2.4878 x 1298) + (5.0936 x 26117) + (3.7829 x 345506) + (5.0836 x 4750))

V = (2095.5 + 255188.72 + 1356836.93 + 16584)/(16584 + 133029 + 1307014 + 24147.1)

V = 1630704.22/1480774.01

V = 1.101

Therefore, using 2015 as the base period, the value index for grains produced in 2018 is 1.101

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The equation of the line that passes through (2, 3) and is parallel to 2y = 5 - 3x is: y = -3/2x + 6.

Given that the line that is parallel to 2y = 5 - 3x passes through the point (2, 3), it means both lines will have the same slope (m).

Step 1: Rewrite the 2y = 5 - 3x in slope-intercept form and determine the slope.

2y/2 = 5/2 - 3x/2

y = -3/2 + 5/2

The slope (m) is -3/2. The slope of the line that is parallel to 2y = 5 - 3x is also -3/2.

Step 2: Substitute m = -3/2 and (x, y) = (2, 3) into y = mx + b to find the value of the y-intercept (b):

3 = -3/2(2) + b

3 = -3 + b

3 + 3 = b

b = 6

Step 3: Write the equation of the parallel line by substituting m = -3/2 and b = 6.

y = -3/2x + 6

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The sequence of transformation that produce similar image is (d) a dilation followed by a rotation

Transformation involves changing the position and/or size of a figure.

There are four types of transformation, and they are:

The representation of the types of transformation are:

A dilation transformation would produce a similar image, while other transformation types would produce a congruent image

Hence, the sequence of transformation is (d)

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We want to see for which one of the given functions, the inverse derivate evaluated in x = 20 is equal to 1/5.

The correct option is B:  f(x) = x^3 + 5x + 20

What is inverse derivative?

The inverse function rule in calculus is a formula that converts the derivative of the inverse of a bijective and differentiable function, f, into the derivative of f.

Remember that two functions f(x) and g(x) are inverses if:

f( g(x)) = g( f(x))) = x

And for the inverse derivate of a function, we have the rule:

[tex]\frac{d}{dx}[f^{-1} (f(x))]=\frac{1}{{f^'}(x)}[/tex]

So first we need to find for what value of x each function is equal to 20, and then we need to see if the derivate of the function evaluated in that same value of x is equal to 5.

For example, for the first option we have:

A: f(x) = x + 5

We find the x-value such that the function is equal to 20.

f(15) = 15 + 5 = 20

We derivate the function.

f'(x) = 1

We evaluate the function in the x-value we got above.

f'(15) = 1

This is not the correct option, as this is not 5.

Now we need to do that for all the given options.

The only correct option will be the second one:

B: f(x) = x^3 + 5x + 20

First we find the x-value such that this is equal to 20

f(0) = 0^3 + 5*0 + 20 = 20

Then the x-value is x = 0.

Now we find the derivate of f(x).

f'(x) = 3*x^2 + 5

Now we evaluate that in the x-value we got before:

f'(0) = 3*0^2 + 5 = 5

As wanted, this is equal to 5.

Then we have:

[tex]\frac{d}{dx}[f^{-1} (f(0))]=\frac{1}{{f^'}(0)}[/tex]

[tex]\frac{d}{dx} [f^{-1} (20)]=\frac{1}{5}[/tex]

As wanted.

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Answer:

So a circle with diameter 17 m has a circumference of 53.4 m

Step-by-step explanation:

Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.

Divide the diameter by 2.

There you go, you found the circle's radius

Step-by-step explanation:

3√2 means 3 times the square root of 2.

Enter 2. Press the square root key to get square root of 2.

You should see 1.4142135

Now multiply by 3.

You should get 4.2426405

1. The equation of the line is:

y=-2x/3 + 5

2. The equation of the line in slope intercept form is:

y=3x+5

1. Given:

we have two points:

(-3,7) = (x₁,y₁)

(9,-1) = (x₂,y₂)

equation of the line is:

y - y₁ = m(x-x₁)

₁first calculate slope m = y₂-y₁/x₂-x₁

m = -1-7/9-(-3)

m = -8/12

m = -2/3

now, y - 7 = -2/3 (x-(-3)

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

y-7=-2x/3-2

y=-2x/3-2+7

y=-2x/3 + 5

hence equation of the line is y=-2x/3 + 5

2. Given two points:

(2, 11) and (4, 17)

(2, 11) = (x₁,y₁)

and (4, 17) = (x₂,y₂)

slope intercept form:

y=mx+c

we need to calculate the m value:

m = 17-11/4-2

m = 6/2

m=3

now substitute in the given form:

y - 11 = 3(x-2)

y-11=3x-6

y=3x-6+11

y=3x+5

Hence we get the required answer.

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The area of cheese is 38 square centimeters.

What is a triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

Given that the height of the cheese is 2.5 inches and the base is 4.75 inches.

The value of 1 inch is 2.54 centimeters.

Now convert 2.5 inches and 4.75 inches into centimeter:

2.5 inches = (2.5 × 2.54) centimeters = 6.35 centimeters

4.75 inches = (4.75 × 2.54) centimeters = 12.065 centimeters

The area of triangle is (1/2) × base × height

The area of the cheese is [(1/2) × 6.35 × 12.065] square centimeter

=38.31 square centimeter

= 38 square centimeters (nearest square centimeter)

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By putting the values the solution to the given Algebraic Equation is 9

What is Algebraic Equation?

In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions.

Solution:

[tex]c^{2} - a + 2a / b[/tex]

a = -3, b = 2, c = 3

Putting the values

3*3 - (-3) + 2(-3) / 2

We will use BODMAS

3*3 + 3 - 6 / 2

3*3 + 3 - 3

9 + 3 - 3

12 - 3

9

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Albert daily rate is 3.79%

We know that rate is the quantity  or amount or the degree of a quantity measured with another quantity.

Albert's credit card APT = 20.7%

Daily balances are

Days 1-3 = (20.7*50)/100   = 10.35

Days 4-10 = (20.7*100)/100 =20.70

Days 11-25 = (20.7*175)/100 = 36.225

Days 26-30 = (20.7*225)/100 =46.575

Number of days in the month = 30 days

Total  balance = $113.80

Daily rate = [tex]\frac{Total amount }{number of days}[/tex]

daily rate = [tex]\frac{113.80}{30}[/tex]

Dividing the figures we have 3.79

Therefore the daily rate is 3.79%

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Answer:

7.065 ft

Step-by-step explanation:

1. apply the formula for a circle

A = πr²

2. substitute 1.5 for r

A = π * 1.5²

3. find the area

A= 3.14 * 2.25

A = 7.065 ft

The minimum unit cost is given as 7477

We have a  = 0.7

b = - 168

c = 17557

We have to find the vertex for the minimum value

-b / 2a

where we would have

-(-168) /2* 0.7

= 168 / 1.4

= 120

We have to put this value in the original function

x stands for the machines

c(120) = 0.7x² - 168x + 17,557

= 0.7(120)² - 168 * 120 + 17,557

= 10080 - 20160 + 17557

= 7477

The minimum unit cost from the calculation that has been done above is given as 7477

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Answer:

83

Step-by-step explanation:

30+54=83

Answer:

The number is 6.

Step-by-step explanation:

30+54 = (?)(5+9)

30+54=80

5+9=14

30+54=80=(?)(5+9)

14x6=84

95% confidence interval is wider than 90% confidence interval.

Given as that unknown mean and a known variance.

let's suppose parameter for mean as µ and

for standard deviation σ.

we have sample of size n  as x1,x2,x3,x4.......xn.

Confidence means what degree of assurance do we desire that the interval estimate contains the  populace mean µ.

The likelihood that the interval falls within the level of confidence c

The population parameter is contained in estimate.

If the level of confidence is 90%, this means that we are 90%

confident that the interval contains the population mean, µ

The corresponding z-scores for 90% confidence interval are ± 1.645.

If the level of confidence is 95%, this means that we are 95%

confident that the interval contains the population mean, µ

The corresponding z-scores for 95% confidence interval are ± 1.96.

So In comparison to a 95% Confidence Interval, a 90% Confidence Interval would be narrower. This happens because the reliability of an interval containing the actual mean declines as the confidence interval's precision rises (i.e., CI width decreases) (less of a range to possibly cover the mean). Consider the case of 100% confidence; the interval must contain all possible values in order to guarantee that the mean is captured with 100% certainty.

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Answer:

her sales would be 56.9

Step-by-step explanation:

Answer:

56.9

Step-by-step explanation:

The diagonals are congruent and the median is parallel to the bases in isosceles trapezoid .

What is an isosceles trapezoid?

An isosceles trapezoid is trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal.

In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length (properties shared with the parallelogram). The diagonals are also of equal length.

The diagonals are congruent because if the diagonals are congruent the at least to of its legs (probably the vertical ones) are congruent. and the median is parallel to the bases in isosceles trapezoid  because parallelism indicates that heights (vertical legs) are accurately congruent .

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The exact value of sec 30°- sin 45° + sin 90° is 1.45.

What is the trigonometric ratio?

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

Here, we have

sec 30°- sin 45° + sin 90°

we have to find the exact value of the given expression,

sec 30° = 2/√3

sin 45° = 1/√2

sin 90° = 1

Put all values in the given expression, and we get

sec 30°- sin 45° + sin 90° = 2/√3 -  1/√2 + 1

sec 30°- sin 45° + sin 90° = 1.15 - 0.70 + 1

sec 30°- sin 45° + sin 90° = 1.45

Hence, the exact value of sec 30°- sin 45° + sin 90° is 1.45.

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the measure of the value a is 24°

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The sum of all angles of triangle = 180

Here given 3 angles are 2a, 3a and a+36°

So the sum of all the angles should be 180°

⇒2a+ 3a +a+36° = 180

⇒6a = 180-36

⇒a = 144/6= 24

Hence the measure of the value a is 24°

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a) the probability of 4 success  = 0.00629

b)the probability of at least 1 success = 1.5726

In Probability, the set of outcomes of an experiment is called events. There are different types of events such as independent events, dependent events, mutually exclusive events, and so on.

If the probability of occurrence of an event A is not affected by the occurrence of another event B, then A and B are said to be independent events.

given that

the probability of success on each of 6 independent trials of an experiment is 0.2.

a) the probability of 4 success

P(x=4) = 6[tex]C_{4}[/tex][tex](0.2)^{4}[/tex][tex](0.8)^{6}[/tex]

          = 15×0.0016×0.2621

          = 0.00629

b)the probability of at least 1 success

p(x≥1) = 1 - p(x<1)

         = 1 - 6[tex]C_{0}[/tex][tex](0.6)^{0}[/tex][tex](0.8)^{6}[/tex]

        = 1.5726

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The value of the function f(x) which is differentiable at all x, at x = 2

Or f(2) = b. 4.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, The function 'f' is differentiable for all x.

Now, f(1) = 2 and f(4) = 8, So, f(x) can be 2x as it is satisfying the conditions.

∴ At x = 2 or f(2) = 2(2) = 4.

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The determinants using co - factor expansion across the first row is 1 .

Given :

compute the determinants in exercises 1-8 using a co - factor expansion across the first row.

[tex]\left[\begin{array}{ccc}3&0&4\\2&3&2\\0&5&-1\end{array}\right][/tex]

Determinant of a matrix :

The determinant of a matrix is the scalar value computed for a given square matrix. Linear algebra deals with the determinant, it is computed using the elements of a square matrix.

determinant = 3 ( 3 * -1 - ( 5 * 2 ) - 0 ( 2 * -1 - ( 0 * 3 ) + 4 ( 2 * 5 - 0 * 3 )

= 3 ( -3 - 10 ) - 0 ( -2 - 0 ) + 4 ( 10 - 0 )

= 3 * -13 - 0 + 4 * 10

= -39 + 40

= 1

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Full question:

is in the image uploaded

The correct option is: A

Statement I is the cause and statement II is the effects.

Since the Government has imported large quantities of sugar as per trade agreement with other countries, the prices of sugar in the domestic market have fallen sharply in the recent months.

The reason behind this statement is:

An increase in supply always leads to a decrease in price.

Supply : Supply is a fundamental economic concept that describes the total amount of a particular good or service available to consumers. Supply can refer to the quantity available at a particular price or the quantity available across the price range displayed on the chart. It is closely related to the demand for goods or services at a particular price. All else being equal, when prices rise, producer supply increases as all firms try to maximize their profits.

Increase in Supply:

If the demand does not change, there is an inverse relationship between the supply and price of goods and services. When the supply of goods and services increases at the same demand, prices tend to fall resulting in lower equilibrium prices and higher equilibrium quantities of goods and services. When the supply of goods and services decreases for the same demand, prices tend to rise towards higher equilibrium prices and smaller quantities of goods and services.

Since the supply of sugar increases as government has over imported, the price of sugar decreases in domestic market.

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In this study assessing the effect of anxiety (low vs. high) and stress (low vs. moderate vs. high) is at N = 20.

With respect to

n [tex]\leq[/tex] 0.05 N

Given:

If n = 10

10/0.05 [tex]\leq[/tex] N

n = 10

=> 2 Treatments

=> N = 20

This is the study of the effect of anxiety (low vs. high) and stress (low vs. moderate vs. high) on test performance uses = 10 in each treatment condition.

Thus, one-way ANOVA, when Fx = 1

One-way analysis of variance (ANOVA) is used to determine whether there are statistically significant differences between the means of three or more independent (unrelated) groups. This guide provides a brief introduction to one-way ANOVA, including test assumptions and when to use this test.

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a) A is better for the better experiment. A creates similar with respect to forest exposure. This are because of the orthogonal effect in quadratic main model.

b) Randomization of variety of trees to plot within each block reduces any bias due to comforting variable.

Blocking Scheme:

In this subsection, the goal is to construct a blocking design such that the blocking effects are orthogonal to the terms in the linear main effects model so that a linear plus quadratic main effects model can be estimated. Assume that all m-factors are quantitative and an m0-factor DSD is constructed. where m0 = m + k and n = 2(m + k) + 1 runs.  Removing the intermediate run from  results in a 2(m + k) run design.

Randomization:

When you randomize an experiment, you select subjects at random. For example, you can use simple random sampling. In this case, participant names are randomly drawn from a pool with each having an equal probability of being selected. You can also randomly assign treatments to participants by assigning random numbers from a random number table.

If you use randomization in your experiments, protect yourself from bias. For example, selection bias (where some groups are underrepresented) is eliminated and accidental bias (where random imbalance occurs) is minimized. If your sample is random, you can also run various statistical tests on the data (to test hypotheses).

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