Given g (x) = -x + 3, find g(1)

Answer:

16 ponies are displayed

Step-by-step explanation:

First you need to add 26 and 6 to get 32.Then you need to cut 32 in half or divide it by 2 for your answer. or you can just do this 26 + 6=32......32÷2 or half is 16.

Answer:

Step-by-step explanation:

Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.

None of the students is correct because the diameter of this circle is 7.5 inches.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Substituting the given parameters into the circumference of a circle formula, we have the following diameter;

23.55 = 3.14 × D

D = 23.55/3.14

Diameter, D = 7.5 inches.

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The n-th row in Pascal's triangle tells you the coefficients of terms in the expansion of (a + b)ⁿ. Starting with n = 0,

1

1 … 1

1 … 2 … 1

1 … 3 … 3 … 1

1 … 4 … 6 … 4 … 1

1 … 5 … 10 … 10 … 5 … 1

In more concrete terms, this translates to

(x - 5y)⁵ = 1 x ⁵ (-5y)⁰ + 5 x ⁴ (-5y)¹ + 10 x ³ (-5y)² + 10 x ² (-5y)³ + 5 x ¹ (-5y)⁴ + 1 x ⁰ (-5y)⁵

Simplify:

(x - 5y)⁵ = x ⁵ - 25x ⁴y + 250x ³y ² - 1250x ²y ³ + 3125xy ⁴ - 3125y ⁵

The perimeter of the rhombus in this problem is given as follows:

19.8 units.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The diagonal length can be obtained as follows:

RU + UT = 7.

Applying the Pythagorean Theorem, the side length is obtained as follows:

x² + x² = 7²

2x² = 49

\(x = \sqrt{\frac{49}{2}}\)

x = 4.95.

Then the perimeter is given as follows:

P = 4 x 4.95

P = 19.8 units.

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Answer:

2500

Step-by-step explanation:

The width of 50 meters will produce the maximum garden area of the rectangle of 2500 square meters.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

Marquise has 200 meters of fencing to build a rectangular garden.

The garden's area (in square meters) as a function of the garden's width x (in meters) is modeled by:

A(x)= - x² + 100x

The perimeter of the rectangle = 2( length + Width)

                                            200 = 2( length + Width)

                                        100 - x = L

The area of the rectangle = length × Width

                                           = x(100 - x)

                                           = (-x)²+ 100x

So,  (-x)²+ 100x where, a = -1 and b = 100

w = -100/2(-1)

w = 50

The area of the rectangle = (-x)²+ 100x

                                           = (-50)²+ 100(50)

                                          = 2500

Thus, The width of 50 meters will produce the maximum garden area of the rectangle of 2500 square meters.

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Answer:

A. Reflection

Step-by-step explanation:

I believe the answer would be reflection

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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The quadratic functions are: f(x) = 0.03x² for Design A and g(x) = 0.024x² for Design B.

A quadratic function is a type of polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and x is the variable. In a quadratic function, the highest power of the variable is 2.

The graph of a quadratic function is a parabola, which is a U-shaped curve that opens either upwards or downwards depending on the sign of the coefficient a. If a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards. The vertex of the parabola, which is the point where the curve changes direction, is given by the coordinates (-b/2a, f(-b/2a)).

Quadratic functions have a wide range of applications in various fields such as physics, engineering, economics, and finance. For example, they can be used to model the motion of projectiles, the trajectory of a rocket, the shape of a bridge arch, the optimization of business profits, and the behavior of financial markets.

Let's assume that each side of the cube has a length of x inches. Then, the surface area of the cube is 6x² square inches.

a. For Design A with a cost of $0.005 per square inch, the total cardboard cost can be calculated using the quadratic function:

f(x) = 0.005(6x²) = 0.03x²

b. For Design B with a cost of $0.004 per square inch, the total cardboard cost can be calculated using the quadratic function:

g(x) = 0.004(6x²) = 0.024x²

Therefore, the quadratic functions are:

f(x) = 0.03x² for Design A

g(x) = 0.024x² for Design B

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The complete question is:

Answer:

The dpmo of the process is of 29000

Step-by-step explanation:

Dpmo of a process:

The dpmo of a process is the number of defects per million opportunities.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

First, using the normal distribution, we calculate the proportion of defective bubbles. Then, using this proportion, we calculate the dpmo.

Mean fill volume for rice bubbles is 475 grams and the standard deviation is 10 grams.

This means that \(\mu = 475, \sigma = 10\)

The design specifications are [450, 495] grams. Any output outside of design specifications is treated as non-conforming.

Below 450 and Above 495 are non-conforming.

Below 450:

The proportion is the pvalue of Z when X = 450. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{450 - 475}{10}\)

\(Z = -2.5\)

\(Z = -2.5\) has a pvalue of 0.0062

Above 495:

The proportion is 1 subtracted by the pvalue of Z when X = 495. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{495 - 475}{10}\)

\(Z = 2\)

\(Z = 2\) has a pvalue of 0.9772

1 - 0.9772 = 0.0228

The proportion of defectives is 0.0228 + 0.0062 = 0.0290

Dpmo:

Number of defects per million, that is, the proportion multiplied by 1000000.

1000000*0.0290 = 29000

The dpmo of the process is of 29000

Answer:

1500 + 2250 =

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is an arithmetic progression with:

Required expression is:

Answer:

15:24, 20:32 and 40:64.

Step-by-step explanation:

hope this helps

Answer:

The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and  lastly 16:10 because they both have a 2 as factors.

Step-by-step explanation:

The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and  lastly 16:10 because they both have a 2 as factors.

Answer:

The 1st one

hope this helped :)

Answer:

8. cos(58) = 20/x

x · cos(58) = 20

x = 20/cos(58)

= 37.742

≈ 37.7

9. tan(69) = 324/x

x · tan(69) = 324

x = 324/tan(69)

= 124.372

≈ 124.4

Answer:

1.8 x 10^3

Step-by-step explanation:

(8.1 x 10^8) / (4.5 x 10^5) = 1800

1800 = 1.8 x 10^3

Answer:

1.8x10^3

Step-by-step explanation:

$105 is higher than $100, the minimum Payment due on Josiah's credit card is $105.

The minimum payment due on Josiah's credit card 3% of his outstanding balance and compare it to the minimum payment of $100. The higher amount between the two will be the minimum payment.

1. Calculate 3% of $3,500:

3% * $3,500 = 0.03 * $3,500 = $105

2. Compare the calculated amount with the minimum payment of $100:

Minimum payment = max($105, $100)

Since $105 is higher than $100, the minimum payment due on Josiah's credit card is $105.

The credit card company sets a minimum payment to ensure that the cardholder makes regular payments towards their outstanding balance. The minimum payment is usually a percentage of the balance or a fixed amount, whichever is higher. In this case, the minimum payment is calculated as 3% of the outstanding balance or $100, whichever amount is greater.

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The acute angle the ladder makes with the ground is 69.3 degrees.

The ladder is 5.1 m and it is leaning against a wall.

The wall is perpendicular to the ground.

This means the ground forms 90 degrees with the wall.

This situation forms a right angle triangle.

Therefore, the acute angle the ladder forms with the ground can be found as follows:

Using trigonometric ratios,

cos ∅ = adjacent / hypotenuse

where

∅ = acute angle

Therefore,

adjacent side = 1.8 m

hypotenuse side = 5.1 m

Hence,

cos ∅ = 1.8 / 5.1

∅ = cos⁻¹ 0.35294117647

∅ = 69.3326835065

∅ = 69.3°

Therefore, the acute angle the ladder makes with the ground is 69.3 degrees.

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The volume of a right circular cone has a height of 5.4 m and a base with a diameter of 5.1 m is 90.07 cubic meter.

Suppose that the radius of the considered right circular cone is 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

\(V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3\)

The right circular cone is the cone in which the line joining the peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

The volume of a right circular cone has a height of 5.4 m and a base with a diameter of 5.1 m.

\(V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3\)

\(V = \dfrac{1}{3} \times 3.14 \times 2.5^3 \times 5.4 \: \rm unit^3\\\\= 270.23 / 3\\\\= 90.07\)

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6 is the intersection point mean in the given situation.

Two or more expressions with an Equal sign is called as Equation.

Given that Andre started with $15 and deposits $5 per week.

Noah started with $2.50 and deposits $7.50 per week.

Noah's Savings is given and his equation is y = 7.5x + 2.5, where x represents the number of weeks and y represents his savings.

The equations for Andre's savings is y = 5x + 15

The intersection point of the two equations is the point at which both Andre and Noah have the same amount in their savings.

5x+15=7.5x + 2.5

Subtract 7.5x on both sides

-2.5x + 15 = 2.5

Add 2.5x to both sides

Divide both sides by 2.5

x = 6

Hence, 6 is the  intersection point mean in this situation.

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Answer:

The amount of fabric needed to create one quilting square is 8 inches.

Answer:

The amount of fabric needed to create one quilting square is 8 inches.

Step-by-step explanation:

The area of the rectangle = 162 \(cm^2\)

Given : length of a rectangle is twice its width.

Let the width of the rectangle be x

Thus the length of the rectangle = 2x

We know that the perimeter of the rectangle can be calculated by

2 ( length + breadth )

And the given Perimeter = 54 cm

Thus on substituting these values in the above formula

we get ;

2 ( 2X + X ) = 54

now opening the brackets wen will get

4x + 2x = 54

thus 6x = 54

on dividing both side of the equation by 6 we get

x = 9

thus the length of the rectangle = 2x = 2 X 9 = 18 cm

and width = 9 cm

Thus the area of the rectangle = Length X Breadth

= 18 X 9

= 162 cm^2

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Answer:

The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:

standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7

To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:

z = (37.4 - 40) / (8 / 7) = -1.225

Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.

give thanks, your welcome <3

Step-by-step explanation:

Answer:

min: 56

lower quartile: 70

median: 74

upper quartile: 80

max: 86

Answer:

statistics are when data analyzed in order to make decisions about the population behind the data.

The correct answer to the question is Statistics (Option D).

What is statistics?

Statistics is a field of study in mathematics which deals with raw data. It is a tool which refines the data to produce meaningful results and a pathway to better understanding of it.

Some examples of raw data can be population sample which loves to see a particular TV show or a sample of students getting so and so marks in Math test.

Data is analyzed mainly by three different measure of central tendency that is mean, median and mode.

Therefore, Statistics the correct answer.

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Using the side splinter theorem the following ratio can be established

Answer:

7*-5+2(-5+5)=-35

9*-5+10=-35

7*2+2(2+5)=28

9*2+10=28

Step-by-step explanation:

when plugging the x values in, you get the same answer for both equation, make the equation equal.

Answer:  Because dividing means to split into smaller groups

Answer:

1975 Thomas Jefferson

Step-by-step explanation: