how to write a quadratic function in standard form y = 4 (x-1)^2 + 5

Answer:

The correct answers to this question would be 2. Tengo un hermano y dos hermanas and 4. Yo tengo tres hermanos.

Function g lingered for a while.

h = v 0 y 2 2 g . This equation, which only depends on the vertical component of the initial velocity, specifies the maximum height of a projectile above its launch site.

The projectile formula's maximum height from the graph is H = u 2 sin 2 2 g.

An item named g was launched from a higher location when x=0... g(0)> f(0).

A higher point was reached by the object of  g.

When the object was launched, f's slope was greater than g's slope.

The launch velocity of object f was greater.

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The basic parts of a circle are the circumference, diameter, radius, and center. The circumference is the outer boundary of the circle, and it is the distance around the circle.

The diameter is a line segment that passes through the center of the circle and connects two points on the circumference. The radius is a line segment that connects the center of the circle to a point on the circumference.

The center is the point in the middle of the circle, and it is equidistant from all points on the circumference. These four basic parts are essential to understanding the properties of circles, such as their area, circumference, and relationships between different parts.

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21% of 200 is going to be 42.

If you want this the simple way, multiply 21% to 200 and it will actually tell you the answer. :)

Answer:

42

Step-by-step explanation:

To find the percentage of a number, take the percent and change it to decimal form.

21% = .21

Multiply this by the number

.21 * 200

42

21% of 200 = 42

108ft is the length of the of the guy wire

Triangles are known to be similar if the ratio of the similar sides of the triangle are equal.

From the given diagram, we need to determine of the guy wire. Using the similarity theorem of a triangle;

8/2 = l/25+2
8/2 = l/27

2l = 8 * 27

l = 4 * 27

l = 108 ft

Hence the length of the of the guy wire, to the nearest foot is 108ft

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Answer:

2/3 gallons

Step-by-step explanation:

0.67 gallons or 2/3 gallons is used on the fence.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

Amount of gallons = 2 gallons

The amount used on a fence.
= 1/3 of 2 gallons

Now,

1/3 x 2 gallons

= 2/3 gallons

= 0.67 gallons

Thus,

0.67 gallons or 2/3 gallons is used on the fence.

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Answer:

no

Step-by-step explanation:

If 18,793 is multiplied by 1000, then the product of this arithmetic equation will be equal to 18,793,000.

The arithmetic equations are the mathematical problems which includes simple functions such as addition (summation), subtraction, multiplication and division. The function of multiplication is also called as repeated addition. In the given question, the multiplicand is 18,793 and the multiplier is 1000 and the result which we get that is 18,793,000 is called as product.

The multiplicand is always written first. When the multiple of 10 is multiplied to any number, the general rule says that there is simple addition of zeroes in the right hand side of the number if is not in decimal form. If the number is in decimal form, the decimal point shift to the right hand side as many times as there are zeroes in the multiplier.

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the area of the inner cylinder is 2π(e^8/2)ln 8 and the area of the outer cylinder is 2πln 8e^8. The volume is then equal to the integral of the area of the cylindrical

Disk/washer method:

[tex]V = π ∫[ln 8]^8 (e^x)^2 dx\\V = π ∫[ln 8]^8 e^2x dx\\V = π(e^2x/2)|[ln 8]^8\\V = π(e^16 - (e^2(ln 8))^8)/2\\V = (π(e^16 - 64)/2)[/tex]

Cylindrical shells method:

[tex]V = 2π ∫[ln 8]^8 x(e^x) dx\\V = 2π ∫[ln 8]^8 xe^x dx\\V = 2π(x(e^x/2) - (e^x/2)ln x)|[ln 8]^8\\V = 2π((ln 8)(e^8 - 8) - (e^8/2)ln 8)\\V = (2π(e^8 - 64ln 8 - 4e^8))/2\\V = (π(e^16 - 64 - 8e^8))/2[/tex]

The disk/washer method can be used to solve for the volume of the solid generated by revolving the given region about the line x = ln 8. This method involves integrating the area of a ring, which can be formed by subtracting the area of a disk from the area of the washer. In this case, the area of the disk is π(e^2(ln 8))^8 and the area of the washer is π(e^16). The volume is then equal to the integral of the area of the ring, which is π(e^16 - (e^2(ln 8))^8).

The cylindrical shells method can also be used to find the volume of the solid generated by revolving the given region about the line x = ln 8. This method involves integrating the  of a cylindrical shell, which can be formed by subtracting the area of the inner cylinder from the area of the outer cylinder. In this case, the area of the inner cylinder is 2π(e^8/2)ln 8 and the area of the outer cylinder is 2πln 8e^8. The volume is then equal to the integral of the area of the cylindrical

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Answer:

188 cm rounded to the nearest whole number.

Step-by-step explanation:

1 rotation = 2[tex]\pi[/tex]r

2[tex]\pi[/tex](15)  If the dimeter is 30, the radius is 15

2 rotations would be

2[2[tex]\pi[/tex](15)]

188.495559218

Answer:

188.5 cm

Step-by-step explanation:

Circumference of a circle = C = 2πr = πD

D = 30 cm

C = π(30 cm) = 94.25 cm

2 revs = 2C = 2(94.25) = 188.5 cm

Recognizing that sin(30º) = 1/2, the exact value of sin(120º) is √3/2.

The exact value of sin(120˚) can be found by using the double angle formula for sine. The formula is:
sin(2θ) = 2sinθcosθ

Since we are given that sin(30˚) = 1/2, we can substitute 30˚ for θ in the formula to find sin(120˚):
sin(120˚) = 2sin30˚cos30˚
sin(120˚) = 2(1/2)(√3/2)
sin(120˚) = √3/2

Therefore, the exact value of sin(120˚) is √3/2.

Note that to solve this type of problem it is crucial to know different types of trigonometric identities.

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Answer:

1 ≤ x ≤ 9

Step-by-step explanation:

13×4=52

Ok Multiplacation is a simple Math formula everyone can do so you have to do this:

13+13+13+13=52

Now do this:

13×4=52

Answer is 52

the equation that represents the value of the car after 5 years is Value of car after 5 years = 21,100 x 0.98^5 = 19,105.08

Given:

The cost price of the car, P = $21100,

The depreciation rate = 2%

Calculate the value of the car after 6 years by the following formula,

A = P (1- r / 100)ⁿ

Here A is the value of the car after 6 years.

Substitute the values,

A = 21100 × (1- 2 / 100)^5,

A = $19,105.08

Therefore, the equation that represents the value of the car after 5 years is Value of car after 5 years = 21,100 x 0.98^5 = 19,105.08

The new coordinates of Rita's tent after a 90° clockwise rotation and dilation by a scale factor of 3 centered at the origin will be (-3y1, 3x1), (-3y2, 3x2), and (-3y3, 3x3)

What are the coordinates of plane?

A coordinate plane is a framework for graphing and describing points and lines. The coordinate plane is made up of a vertical (y) axis and a horizontal (x) axis. The coordinate plane is divided into four quadrants. The origin is the location where these lines meet (0, 0).

To find the new coordinates of Rita's tent after a 90° clockwise rotation and dilation by a scale factor of 3 centered at the origin, we need to perform the following steps:

Rotate the original coordinates 90° clockwise: To do this, we swap the x and y coordinates and negate the new x-coordinate. If the original coordinates of the vertices of the triangle are (x1, y1), (x2, y2), and (x3, y3), then the rotated coordinates will be (-y1, x1), (-y2, x2), and (-y3, x3).

Dilate the rotated coordinates: To dilate the rotated coordinates by a scale factor of 3 centered at the origin, we multiply each coordinate by the scale factor. If the rotated coordinates of the vertices of the triangle are (-y1, x1), (-y2, x2), and (-y3, x3), then the dilated coordinates will be (-3y1, 3x1), (-3y2, 3x2), and (-3y3, 3x3).

Therefore, the new coordinates of Rita's tent after a 90° clockwise rotation and dilation by a scale factor of 3 centered at the origin will be (-3y1, 3x1), (-3y2, 3x2), and (-3y3, 3x3), where (x1, y1), (x2, y2), and (x3, y3) are the original coordinates of the vertices of the triangle.

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Approximately 27% of the jerseys did not sell.

What is Percentage?

Percentage is a way of expressing a number as a fraction of 100. It is used to describe ratios, proportions, and changes in quantities in terms of a fraction of the whole.

Solution:

The school ordered 225 jerseys and sold 165, so the number of jerseys that did not sell is:

225 - 165 = 60

To find the percentage of jerseys that did not sell, we need to divide the number of unsold jerseys by the total number of jerseys ordered and then multiply by 100:

60 / 225 x 100% = 26.67%

Rounding this to the nearest percent gives: 27%

Therefore, approximately 27% of the jerseys did not sell.

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Using the formula, we can convert milliliters to teaspoons. 1 milliliter equals 0.202 teaspoons, thus 10ml equals 2.02 teaspoons.

The volume unit is milliliters. A teaspoon is also a volume measure, however it is a smaller unit that is commonly used at dinner settings.

One millilitre is equivalent to 0.202 US teaspoons using normal conversion rates.

As a result, we may define the link using the unit conversion idea.

One milliliter is equal to 0.202 teaspoons in the United States.

For example, 10 milliliters equals 2.02 teaspoons.

As a result, we'll need roughly 2 tablespoons to get 10 ml.

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The equation of the normal line to the curve is y = -x + π

To find the equation of the normal line to the curve y = sin(sinx) at x = π, we need to find the slope of the tangent line at x = π and then use that to determine the slope of the normal line. We can find the slope of the tangent line by taking the derivative of y with respect to x and evaluating it at x = π.

y = sin(sinx)

Taking the derivative with respect to x, we get:

dy/dx = cos(sinx) * cosx

At x = π, we have:

dy/dx = cos(sin(π)) * cos(π) = -1 * (-1) = 1

So the slope of the tangent line at x = π is 1. Since the normal line is perpendicular to the tangent line, its slope is the negative reciprocal of 1, which is -1.

Now we need to find the y-intercept of the normal line, which is the point where the line intersects the y-axis. To do this, we can plug in the values of x = π and y = sin(sinx) = sin(sin(π)) = 0 into the equation of the line:

y = mx + b

0 = -1 * π + b

b = π

So the equation of the normal line is:

y = -x + π

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When two companies have a correlation value of -0.95, there is less than zero covariance between their returns. So statement d is correct.

The correlation coefficient is an important measure that helps to establish a relationship between two variables. Its value is mostly between +1 to -1. Therefore, the value can be positive, negative, or zero. Based on this the types of correlation are positive correlation, negative correlation, and no relation.  This is calculated for the given condition using the below formula,

[tex]\text{correlation coefficient}=\frac{\text{covariance of security}}{\text{SD of security 1}\times\text{SD of security 2}}[/tex].

Here, the SD (standard deviation) is always positive, and the covariance value should be negative or less than zero so that the correlation coefficient of the two companies will be negative (as -0.95). From the given option, d is correct.

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A measure of variation that includes spread, variance, and spread from the mean is the standard deviation.

The skewness of the data is expressed as standard deviation. It measures how far each observation is from the mean. Approximately 95% of the values ​​in each distribution fall within 2 standard deviations of the mean.

Standard deviation is a measure of spread, variance, and deviation from the mean given spread.

The standard deviation represents the "typical" deviation from the mean. This is a popular measure of volatility because it preserves the original units of the data set.

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So, in response to the above question, we can state that They gathered a total equation of s + 2s = 3s shells.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

In the case where Anna gathered s shells and her brother gathered twice as many, the brother gathered 2s shells.

They gathered a total of s + 2s = 3s shells.

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On graphing the given models we got a parabola as shown below

To graph the given equation, find the coordinate points using the given variables. In this problem, we have taken the values of t as 0, 1, and -1 from that find the values of 'h' and form the coordinate points. Now plot the resultant points as a graph.

Here we have

h = - 16t² + 12 represents the height that corn from the ground

Where t represents the time in sec

From given equation,

at t = 0 => h = 12

at t = 1 => h = - 4

at t = -1 => h = -4

Now take h = y and t = x

The coordinates we got are (0, 12) (1, -4) and (-1, -4)

Now use the above points to draw the graph as shown below  

Therefore,

On graphing the given models we got a parabola as shown below

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a. The probability of finding oil is 0.45

b. The probability of finding high-quality oil is 0.25

c. P(medium quality oil) = 0.20

d. P(no oil) = 0.55

The probabilty of finding oil

P(oil) = P(high quality oil) + P(medium quality oil)

= 0.25 + 0.20

= 0.45

b. P(soil high quality oil) = 0.20

P(medium qty) = 0.80

P(no oil) = 0.20

The probability of finding oil is good.

Given the probability of finding good soil, the oil company is more likely to find medium quality oil.

The new probability of finding oil is

P(High quality) + P(medium quality) =

0.15625 + 0.5

= 0.65625

Using the conditional probabilty formula

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The average rate change of over the interval [-1,1] is 2.

What is an interval?

In mathematics, an interval is expressed in numerical terms. All the numbers between two specific numbers are referred to as an interval. All actual numbers between those two are included in this range.

Given points on the graph is

x   -2     -1     0     1        

y   -4     -3     -1     3

The average rate of change of a function is defined by the expression over the interval a ≤ x ≤ b,

Average rate of change = [f(b) - f(a)]/(b - a)

Here a = -1, b = 1, f(a) = -3, and f(b) = 3

The average rate is (3 - (-3))/ (1 - (-1)) = 2

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Answer:

3.542

Step-by-step explanation:

7 1/6 - 3 5/8 = (85/24) = 3(13/24) ≅ 3.5416667.

7⅙ - 3⅝ = 8524 = 3 1324 ≅ 3.5416667 (simplified) = 3.542

The car would be worth $9400 in the year 2004.

If the car depreciates by 11% each year, then its value at the end of each year will be 89% of its value at the beginning of the year (100% - 11% = 89%). Therefore, the value of the car after 1 year will be:

$15000 * 0.89 = $13350

The value of the car after 2 years will be:

$13350 * 0.89 = $11881.50

The value of the car after 3 years will be:

$11881.50 * 0.89 = $10576.77

The value of the car after 4 years (in the year 2004) will be:

$10576.77 * 0.89 = $9422.19

Therefore, the car would be worth $9400 in the year 2004.

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The converted values of 139 pounds to kilograms in standard form is equal to 63.0493 kilograms.

Scale factor used to convert pounds to kilograms is equal to :

One pounds is equal to 0.453592 kilograms.

Now convert pounds to kilogram by substituting the value in standard form we get,

⇒ 139 pounds = ( 139 ) multiply to ( 0.453592 ) kilograms

⇒ 139 pounds =  139 × 0.453592  kilograms

⇒ 139 pounds =  63.049288 kilograms

⇒ 139 pounds =  63.0493 kilograms

Therefore, the using standard scale factor to convert 139 pounds to kilograms is equal to 63.0493 kilograms.

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Answer: i think the answer would be 75

Answer:

55 chairs.

Step-by-step explanation:

Note the way Liam arranges the chairs.

1) He arranges chairs in 8 rows of the same length, with 7 chairs left over.

8x + 7

2) He arranges chairs in 6 rows of the same length, with 19 chairs left over:

6x + 19

Set the two expressions equal to each other:

8x + 7 = 6x + 19

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 6x and 7 from both sides of the equation:

8x (-6x) + 7 (-7) = 6x (-6x) + 19 (-7)

8x - 6x = 19 - 7

2x = 12

Next, divide 2 from both sides of the equation:

(2x)/2 = (12)/2

x = 12/2

x = 6

Plug in 6 for x in both expressions. It should give the same answer:

8x + 7

8(6) + 7 = (8 * 6) + 7 = (48) + 7 = 55

6x + 19

6(6) + 19 = (6 * 6) + 19 = (36) + 19 = 55

~

Therefore, Liam has 55 chairs in all.

~

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