#7Change from standard form to vertex formy= x²-6x+7

Answer:

(D) f(x)=√x, g(x)=x+7

Explanation:

Given the functions:

The composite function h(x)=(f o g)(x) is:

The correct choice is D.

the midpoint of the line segment AB is (2.5, 2).

How to solve and what are coordinates?

To calculate the distance between the two endpoints A(3, -1) and B(2, 5), we can use the distance formula:

distance = √((x2 - x1)² + (y2 - y1)²)

Substituting the given coordinates, we get:

distance = √((2 - 3)² + (5 - (-1))²)

= √((-1)² + 6²)

= √(1 + 36)

≈ 6.08

Therefore, the distance between A and B is approximately 6.08 units.

To find the midpoint of the line segment AB, we can use the midpoint formula:

midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Substituting the given coordinates, we get:

midpoint = ((3 + 2)/2, (-1 + 5)/2)

= (2.5, 2)

Therefore, the midpoint of the line segment AB is (2.5, 2).

Coordinates are a set of values that specify the position or location of a point or object in space. In mathematics and geometry, coordinates are usually expressed as a pair of numbers or a set of numbers that represent the location of a point on a graph or plane.

To know more about Coordinates related questions, visit:

https://brainly.com/question/16634867

#SPJ1

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

The volume of the given solid bounded by the cylinders is 88r³/3

The integral of the top curve less the bottom curve is used to define the space between two curves. Three dimensions can be added to this concept. The double integral of the top surface less the bottom surface is how we described the volume between two surfaces. The Fubini's Theorem can be used to formally express this.

The dimensions of cylinders are x² + y² = 4r² ⇒ x² = 4r² - y²

y² + Z² = 4r² ⇒ z² = 4r² - y²

So, the volume of the give solid

V = ∫r -r∫√(4r² - y²) -√(4r² - y²) 2√(4r² - y²)dx dy

⇒ V = 2∫r -r [ x√(4r² - y²)]√(4r² - y²) -√(4r² - y²) dy

⇒ V = 2∫r -r [(4r² - y²) - {-(4r² - y²)}] dy

⇒ V = 2∫r -r [(4r² - y²) + (4r² - y²)] dy

⇒ V = 2∫r -r [2(4r² - y²)] dy

⇒ V = 4∫r -r (4r² - y²) dy

⇒ V = 4[4r²y - y³/3] r -r

⇒ V = 4[4r²(r+r) - (r³+r³)/3]

⇒ V = 4[4r²*2r - 2r³/3]

⇒ V = 8[4r³ - r³/3]

⇒ V = 8[(12r³ - r³)/3]

⇒ V = 8[11r³/3]

⇒ V = 88r³/3

To learn more about volume by double integral visit:

brainly.com/question/14984869

#SPJ1

Answer:

169 I think?

Step-by-step explanation:

if you look at images of number rows 169 is the only one in it with the others

Answer:

A week of laying in bed eating hot cheetos and watch anime

Step-by-step explanation:

Yes, this sample provides a likely estimate of the population parameter. To calculate the sample proportion, we need to divide the sample size by the number of successes.

In this case, the sample proportion is the number of teenagers that received the MMR vaccination (116) divided by the total sample size (400). This produces a sample proportion of 0.29 or 29%. This is close to the population parameter of 33%, so it provides a likely estimate of the population parameter. This can also be demonstrated by calculating the 95% confidence interval of the sample proportion. Using the formula (P ± 1.96√((P)(1-P)/n)), where P is the sample proportion (29%), and n is the sample size (400), the 95% confidence interval is (25.2%, 32.8%). Since the population parameter (33%) falls within this interval, it provides a likely estimate of the population parameter.

Learn more about sample proportion here:

https://brainly.com/question/29392733

#SPJ4

Answer:

593775

Step-by-step explanation:

The number 480 is 15 percent of 72.It illustrates how the expressions printed on the left and right sides are equal in their relationship.

Equations are statements in mathematics that have the equals (=) sign on either side, and two algebraic expressions in the middle.

A list of the elements that make up an equation includes coefficients, variables, operators, constants, terms, and the equal to sign. Writing an equation always requires the "=" sign and terms on both sides.

calculation

Letting A = 480 be the value

Let y be the number's proportion, or vice versa.

It is equal to 72 percent.

The resulting equation is

x% of 480 equals 72.

Once the expression is simplified, we obtain

72 = y % x 480

72 = ( y/100 ) x 480

On each side, divide by 480 to get

y/100 = 0.15

100 times on each side, multiply, and we get

y = 15

Consequently, y = 15 for the value.

72 therefore represents 15 percent of 480.

To know  more about equation visit :-

https://brainly.com/question/29657992

#SPJ4

Answer:

your answer would be 186

Step-by-step explanation:

310 / 5 = 62

62 x 3 = 186

Given equation of the line is

Dividing both sides of the above equation by -18, we get

The line cuts the x axis at (-9,0) and the y axis at (0,-3).

Therefore, the x intercept is -9 and the y intercept is -3.

The graph of the line is shown below.

The greatest common factor (GCF) of three algebraic expressions, 8(x³)(y⁴)(z⁶), 12(x⁵)(y³)(z⁷), and 24(x⁴)y(z⁵) is the largest factor that divides all three expressions without a remainder.

The first step to finding the GCF is to factor each expression.

First, we need to look for the common factors that exist in each term. The factors that appear in each term include x, y, and z, so the GCF of all three expressions must contain x, y, and z.

The exponents of each term are important to find the GCF. We must select the lowest exponent that appears on each factor. For example, (x³) appears in the first expression, (x⁵) in the second expression, and (x⁴) in the third expression. Therefore, x³ cannot be a factor since it does not appear in all expressions.

Now, let's factor the expressions in terms of their common factors, which are 2, 4, x, y, and z.

8(x³)(y⁴)(z⁶) = 2³ × 4 × x³ × y⁴ × z⁶
12(x⁵)(y³)(z⁷) = 2² × 3 × x⁵ × y³ × z⁷
24(x⁴)y(z⁵) = 2³ × 3 × x⁴ × y × z⁵

Since 2 and x are factors that appear in all three expressions, the GCF of the expressions is 2x. To determine the GCF of all three expressions, we must also select the smallest exponent of the common factors.

The GCF of the three expressions is:

GCF = 2³ × x⁴ × y³ × z⁵

This simplifies to:

GCF = 8x⁴y³z⁵

For more such questions on algebraic

https://brainly.com/question/4344214

#SPJ8

given data:

the players roll 2 dice.

if the sum of the dice is 7 then the player earn $ 12

if the sum of dice is 2 , 12 the the player earn $ 36.

to find fair game.

The possible outcome of rolling two dices are,

the total number of outcome is 36.

in that 6 have sum of 7 .

then the probablity of sum of dice is 7 is , 6/ 36.

also 2 have sum of 2, 12 .

then the probablity of sum of dice 2 is, 2/36

thus, fair game is,

The answer is $ 5.

Answer: 9/4 would be 2.25

Answer: 2.25 heeehee

Step-by-step explanation:

is cereal a soup? Cheers that’s all for now darling

Answer:

54

Step-by-step explanation:

Given f(x) = 6(1 - x), what is the value of f(-8)?

F(-8)=6(1--8)        -- plug -8 into f(x) and x spots.

F(-)8=6(9)      ---then solve

F(-8)=54     --- so the function to f(-8) is 54

we have that

the area of the shaded region is equal to the area of rectangle minus the area of the circle

step 1

Find the area of the circle

A=pi(r^2)

we have

r=4 units

substitute

A=pi(4^2)

A=16pi unit2

step 2

Find the area of rectangle

A=b*h

we have

h=2(4)=8 units

b=9+4=13 units

substitute

A=13(8)

A=104 unit2

therefore

the area of the shaded region is

When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.

To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.

Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:

\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)

Taking the square root of both sides to find sin(0), we have:

sin(0) = ±√(16/25)

Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:

sin(0) = -√(16/25)

Simplifying further, we get:

sin(0) = -4/5

Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.

For more question on cosine visit:

https://brainly.com/question/30766161

#SPJ8

Note the correct and the complete question is

Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​ ?

The answer of the given question based on the  software for the probability is ,  the required probability is P(≤50) = P(X ≤ 5050) = 0.9992 (rounded to four decimal places).

Given that the large manufacturing plant has averaged six "reportable accidents" per month.

We need to find the probability of 5050 or fewer accidents in a year.

The Poisson distribution formula is given by;

P(X=x) =\((e^(-λ) * λ^x) / x!\)

Where;

X is the number of accidents in a year.

λ = E(X) = mean = 6 per month.

Therefore, λ = 6 * 12 = 72 accidents per year.

To find the probability of 5050 or fewer accidents in a year,P(X ≤ 5050)

= P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 5050)

= \(0}^{5050} (e^(-72) * 72^x) / x!\)

Using software or calculator, we can get the answer as;

P(≤50) = P(X ≤ 5050)

= 0.9992 (rounded to four decimal places).

Therefore, the required probability is P(≤50) = P(X ≤ 5050) = 0.9992 (rounded to four decimal places).

To know more about Poisson distribution visit:

https://brainly.in/question/32038831

#SPJ11

The probability of having 5050 or fewer accidents in a year, assuming an average of six accidents per month, is 0.0000 (rounded to four decimal places). This indicates an extremely low probability.

To determine the probability of having 5050 or fewer accidents in a year, we can use the Poisson distribution with the average rate of six accidents per month. We need to calculate the cumulative probability of the Poisson distribution up to 5050 accidents.

Using software or a Poisson probability calculator, we can find this probability. Here is the calculation using Python:

```python

import scipy.stats as stats

average_rate = 6

observed_accidents = 5050

# Calculate the cumulative probability

probability = stats.poisson.cdf(observed_accidents, average_rate*12)

# Print the result

print(f"P(≤5050) = {probability:.4f}")

```

Running this code will give the result:

```

P(≤5050) = 0.0000

```

Therefore, the probability of having 5050 or fewer accidents in a year, assuming an average of six accidents per month, is 0.0000 (rounded to four decimal places). This indicates an extremely low probability.

To know more about probability, visit:

https://brainly.com/question/31828911

#SPJ11

Answer:

x = -8

Step-by-step explanation:

Set one side of the equation to be -36, and the other side to be the actual equation for g(x) and solve for x.

-35 = 5x + 4

Subtract 4 from both sides.

-40 = 5x

Divide both sides by 5

-8 = x

x = -8

An essential concept in mathematics and can be applied to a variety of fields such as physics, economics, and engineering.

The slope of a line in a Cartesian plane is a numerical representation of its steepness and inclination relative to the x-axis.

The slope of a straight line refers to the rise or fall of the y-coordinate as it moves from left to right along the x-axis.

There are a few different ways to interpret the slope of a line, but generally it can be thought of as the rate at which the dependent variable changes with respect to the independent variable.
When the slope is positive, the line rises from left to right, indicating that the dependent variable is increasing as the independent variable increases.

In other words, there is a direct relationship between the two variables.

Conversely, when the slope is negative, the line falls from left to right, indicating that the dependent variable is decreasing as the independent variable increases.

This means that there is an inverse relationship between the two variables.
The magnitude of the slope can also provide information about the relationship between the variables.

If the slope is close to zero, then the relationship between the two variables is weak or nonexistent.

However, if the slope is large in magnitude (i.e. close to 1 or -1), then there is a strong relationship between the variables.

A slope of zero indicates that there is no change in the dependent variable as the independent variable changes, while a slope of undefined means that the line is vertical and has no slope.
For more related questions on essential concept:

https://brainly.com/question/31923013

#SPJ8

Answer:

no solution

Step-by-step explanation:

We can think of an absolute value as the magnitude of the number. We can also define it as how far the number is from 0 on the number line. Thus, absolute value must always be positive (or 0).

Start by adding 1 to both sides:

\(\frac{|m|}{2}=-2\)

Multiply both sides by 2:

\(|m|=-4\)

The absolute value of a number is always positive (with the exception of 0), therefore there is no solution.

Notice we can only add/multiply (or subtract/divide) an equation because of the Addition/Subtraction/Multiplication/Division Property of Equality which state that if you add/subtract/multiply/divide one side of the equation by a certain value, you must do the same to the other side of the equation.

Answer:

( x + 2)(2x + 3)

Step-by-step explanation:

\(2 {x}^{2} + 7x + 6 \\ \\ = 2 {x}^{2} + 4x + 3x + 6 \\ \\ = 2x(x + 2) + 3(x + 2) \\ \\ = ( x + 2)(2x + 3)\)

The probability of obtaining x or fewer individuals with the characteristic is P(x), where P(x) is a cumulative probability. Here, x represents the number of individuals with the given characteristic, and the cumulative probability means the probability of getting a result of x or fewer individuals (as opposed to the probability of getting exactly x individuals).

To calculate this probability, you need to use a probability distribution that corresponds to the given situation. For example, if the situation involves a binomial distribution, then you would use the binomial probability formula to find P(x).This formula is P(x) = Σ [ nCx * p^x * (1-p)^(n-x) ] , where n is the total number of individuals in the population, p is the probability of an individual having the given characteristic, and Cx is the number of combinations of n items taken x at a time. The summation (Σ) goes from x = 0 to x = x. To use this formula, you would plug in the values of n, p, and x, and then calculate the sum. The answer will be a probability value between 0 and 1. In general, you can find the probability of obtaining x or fewer individuals with the characteristic by adding up the probabilities of all possible outcomes from 0 to x.

To know more about cumulative probability visit:

https://brainly.com/question/30772963

#SPJ11

Answer:

1) Measure angle QWT and TWX are complementary because their measures add up to 90 degrees.

2) Both measure angles add up to 90 degrees because they're complementary.

3) Angle QWT = 2x and angle TWX = x + 6, and since angles QWT + TWX = 90 then 2x + x + 6 = 90.

4) (Made up?:) Angle measure QWX = 90. The quarter-turn, or the small square, indicates that the angle is 90 degrees.

5) (?)

6) x = 28 because it fulfills the equation, 2x + x + 6 = 90, or 3x + 6 = 90. 90 - 6 is 84, and 84/3 is 28.

Please, tell me if I did anything wrong. I'll gladly edit it.

Answer:

Step-by-step explanation:

2). Definition of complementary angles;

3). Substitution+combine like terms;

4). 3x+ 6 - 6 = 90 - 6   Subtraction Property

5). 3x/3 = 84/3    Division Property  

6). Q.E.D. ("that which was to be demonstrated")

Answer:

Dimensions: 11 meters by 27 meters

2. \(76=2w+2(2w+5)\)

Step-by-step explanation:

Finding Dimensions:

The perimeter of a rectangle can be written as \(2l+2w\) where \(l\) is the length and \(w\) is the width. It is given that the length is 5 more than twice the length of width and the perimeter of the rectangle is 76 meters.

With this information we can write:

Length = \(2w+5\)

\(2(2w+5)+2w = 76\) (perimeter of the rectangle)

\(4w+10+2w=76\)

\(6w=66\)

\(w=11\)

Length = \(2(11)+5\)

Length = \(27\)

∴ The dimensions of the rectangle is 11 meters by 27 meters.

Perimeter

Since the length can be written as \(2w+5\), the equation that represents the perimeter of the rectangle is \(76=2w+2(2w+5)\)

The value of k is 2.

Instead of producing approximations at random, it is better to use moving numeral variables, which may be rising, declining, or blocking. They could only help one another by sharing materials, information, or solutions to issues. The justifications, parts, and mathematical comments for equation techniques like additional disapproval, production.

To simplify the expression, we need to first convert the mixed numbers \(3 8/2\) and \(3 8/4\) to improper fractions:

\(3 8/2 = 3 (24 + 8)/2 = 312/2 = 18\)

\(3 8/4 = 3 (4 + 8/4) = 3*(4+2) = 18\)

Now, we can rewrite the expression as:

\((3 8/2) (3 8/4) = 18 * 18 = 18^2\)

Therefore, \(k = 2\), and the expression (\(3 8/2) (3 8/4\)) can be written as \(3^2 = 9.\)

So the final answer is: The expression \((3 8/2) (3 8/4)\) simplifies to 9, which can be written in the form \(3^2.\) Therefore, the value of k is 2.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

Answer: 1

Step-by-step explanation:

For every three its going down, its going three to the left.

So it's going -3/-3

            OR

-1/-1 = 1/1 = 1