Find the x-intercepts of the parabola with
vertex (1,20) and y-intercept (0,16).

Answer:

5x+6=21 is the same as 15+6=21

Step-by-step explanation:

hope this is what you wanted :)

In statistical analysis, it is important to identify the explanatory and response variables in order to determine the relationship between them. In the scenario given, the baseball player wants to determine if the type of bat he uses can predict the amount of improvement in his game, so the type of bat is the explanatory variable. The response variable is the amount of improvement in his game, which is what the player wants to understand and measure.

However, it is also important to consider potential confounding variables that could impact the relationship between the explanatory and response variables. In this case, the number of times the player bats and the player himself could potentially confound the relationship, so they should also be taken into account in the analysis to ensure that any observed relationship is not solely due to these factors.

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The domain is the x value and the range is the y value.

Because x is a variable it can be any real number so the domain would be negative infinity to infinity.

Because the domain is negative infinity to infinity, then the range is also negative infinity to infinity.

Answer:

a mans car...

Step-by-step explanation:

a man's car breaks down while driving to work

because all the other ones are in their head

The magnitude of the vectors is 7.2

The magnitude of a vector is resolved by using a formula

This is the displacement between two vectors and can be calculated as

\(x^2 = y^2 + z^2\\x = \sqrt{y^2 + z^2} \\\)

where x is the magnitude of displacement between y and z.

In this question, the vectors are

Let's find the magnitude of this vector

\(x = \sqrt{(-4)^2+(-6)^2}\\x = \sqrt{16+36}\\x = \sqrt{52}\\x = 7.2\)

The magnitude of the vectors is 7.2

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Answer:

7.2

Step-by-step explanation:

Use the origin as the initial point. Then, <−4, −6>

is the terminal point.

To find the magnitude, use the Distance Formula.

|<−4, −6>|=(−4−0)2+(−6−0)2−−−−−−−−−−−−−−−−−−√

        =16+36−−−−−−√

        =52−−√

        ≈7.2

hope this helps!

For a sample of room temperature during winter, an upper bound of the probability that the temperature in your room deviates from the mean by at least 4 degrees is equals to the 0.25.

For a sample of temperature during winter, Average temperature of room

= 70 degree

Standard deviations = 2 degrees

We have to determine upper bound of the probability that the temperature in your room deviates from the mean by at least 4 degrees. According to chebyehev's theorem, \(P( | X - μ |≥ k σ ) ≤ \frac{ 1 }{k²} \).

here , σ = 2 , μ = 70, kσ = 4

=> k = 2

So, the required upper bound of probability is \(P( | X - μ |≥ k σ ) ≤ \frac{ 1 }{k²} \)

≤ \(\frac{ 1 }{2²} \)

≤ \(\frac{ 1 }{4} \)

= 0.25

Hence, required upper bound value is 0.25.

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Given that 3/5 of the people who attended the concert live closer than 50 miles from the venue, we can find the total number of people who live closer than 50 miles by multiplying 3/5 with the total number of people who attended the concert:

Total number of people who live closer than 50 miles = 3/5 x 4800 = 2880

We are also given that 0.3 of the people who live closer than 50 miles from the venue spent more than $560 per ticket. To find the number of people who attended the concert and live closer than 50 miles from the venue and spent more than $560 per ticket, we can multiply the total number of people who live closer than 50 miles by 0.3:

Number of people who attended the concert and live closer than 50 miles from the venue and spent more than $560 per ticket = 0.3 x 2880 = 864

Therefore, 864 people who attended the concert live closer than 50 miles from the venue and spent more than $560 per ticket.

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======================================================

Work Shown:

Segments AB, BC, CD, DA, and DN are all the same length (4 units)

The semicircle has area of

A = (1/2)*pi*(radius)^2

A = 0.5*pi*2^2

A = 2pi

The square has area of

B = (side length)^2

B = 4^2

B = 16

The trapezoid has area of

C = (height)*(base1+base2)/2

C = (DN)*(CD+MK)/2

C = (4)*(4+8)/2

C = 24

Add up the results of A, B and C to get the total area

A+B+C = 2pi+16+24 = 2pi+40

The total area is 2pi+40 square mm

The area of the figure will be 2π + 40 mm². Then the correct option is C.

The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

The figure is made by semicircle, square, and trapezium. Then the area is given as,

A = Area of a semicircle + Area of square + Area of trapezium

A = (π / 2) x r² + (AB)² + 1/2 x (CD + MK) x DN

A = (π / 2) x 2² + (2 x 2)² + 1/2 x (4 + 8) x 4

A = 2π + 16 + 24

A = 2π + 40 mm²

The area of the figure will be 2π + 40 mm². Then the correct option is C.

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Answer:

8:12

Step-by-step explanation:

you have 20 music downloads and you already told me that eight are country so you use 20 to minus eight and you get the number of hip-hop then you do the ratio which is 20 minus 8 is 12 ratio from country to hip hop is 8:12

Answer: \(y-1=\dfrac32(x+3)\)

Step-by-step explanation:

Slope of a line passes through (a,b) and (c,d) = \(\dfrac{d-b}{c-a}\)

In graph(below) given line is passing through (-2,-4) and (2,2) .

Slope of the given line passing through (-2,-4) and (2,2) =\(\dfrac{-4-2}{-2-2}=\dfrac{-6}{-4}=\dfrac{3}{2}\)

Since parallel lines have equal slope . That means slope of the required line would be .

Equation of a line passing through (a,b) and has slope m is given by :_

(y-b)=m(x-a)

Then, Equation of a line passing through(-3, 1) and has slope =  is given by

\((y-1)=\dfrac32(x-(-3))\\\\\Rightarrow\ y-1=\dfrac32(x+3)\)

Required equation: \(y-1=\dfrac32(x+3)\)

Answer:

cause u are nice

Step-by-step explanation:

The solution set of the given homogeneous system in parametric vector form is (x1,x2,x3)=(s,-2,-5)

Parametric vector form:

If there are m-free variables in the homogeneous equation, the solution set can be expressed as the span of m vectors:

x = s1v1 + s2v2 + ··· + sm vm. This is called a parametric equation or a parametric vector form of the solution.

A common parametric vector form uses the free variables as the parameters s1 through sm

Given is a system of equations

We are to solve them in parametric form.

x1 + 3x2 + x3 = 0 --------(1)

-4x1 + 9x2 + 2x3 = 0 ---------(2)

-3x2 - 6x3 = 0--------(3)

From equation(3)

-3x2=6x3

x2=-2x3

substitute in equation(1) and equation(2)

x1+3(-2x3)+x3=0

x1-6x3+x3=0

x1-5x3=0

x1=5x3

So the solution in parametric form is (x1,x2,x3) = (s,-2,5) for all real values.

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Answer:

The Ratio is 12 - 3

Step-by-step explanation:

There are 12 bicycles and 3 scooters so the ratio is 12 -3 or if simplified 4-1

Answer:I say A because the ration is 12:3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

GCF both of 2

Answer:

im not 100 percent sure but i think its the taipei 101

Step-by-step explanation:

im brain dead and i dont even trust myself but i passed the quiz so hope this helps

Answer:

C. they took the same amount of time

Step-by-step explanation:

Answer:

How many modes does the set {2, 8, 4, 10, 7, 3, 1} have?

Step-by-step explanation:

What is a mode?

You're welcome.

Answer:

No modes

Step-by-step explanation:

A mode is the most repeated number in the set. in this case, none of the numbers are repeated. If each number is used once, there is no repetition, so there is no mode.

Answer:

Step-by-step explanation:

Givens

Let the width = x

Let the length = x + 5

Equation

2w + 2W = P

Solution

2x + 2(x + 5) = 192                  Remove the brackets    <=== Answer

2x + 2x + 10 = 192                  Combine like terms

4x + 10 = 192                          Subtract 10 from both sides

4x = 192 - 10                        

4x = 182                                 Divide by 4

4x/4 = 182/4

x = 45.5

The exponential functions is y = ( 4 )ˣ and the linear function is y =  -50x + 450 and y = -5x + 40

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the x coordinates be x = { 0 , 1 , 2 , 3 , 4 }

Now , let the y coordinates be y = { 1 , 4 , 16 , 64 , 256 }

And , the exponential function is y = ( 4 )ˣ

when x = 0 , y = 1

when x = 4 , y = 245

b)

Now , the linear function is

The x coordinates are x = { 0 , 2 , 4 , 6 , 8 }

The y coordinates are y = { 450 , 350 , 250 , 150 , 50 }

So , the equation of line is y = -50x + 450

when x = 0 , y = 450

when x = 8 , y = 50

c)

Now , the linear function is

The x coordinates are x = { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 }

The y coordinates are y = { 40 , 35 , 30 , 25 , 20 , 15 , 10 , 5 }

So , the equation of line is y = -5x + 40

when x = 0 , y = 40

when x = 7 , y = 5

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Answer: Without knowing the specific spinner in question, it's impossible to give an exact answer. However, I can give some general guidance on how to approach this type of probability question.

First, you need to determine how many possible outcomes there are when spinning the spinner. Let's say, for example, that the spinner has six equally sized sections, each labeled with a different number: 1, 2, 3, 4, 5, and 6.

Next, you need to determine how many of those outcomes are prime numbers. In this case, there are four prime numbers: 2, 3, 5, and 7 (if we assume the spinner goes up to 7). Therefore, there are four possible outcomes that are prime numbers.

To find the probability of spinning two prime numbers in a row, you need to determine the probability of spinning a prime number on the first spin, and then multiply that by the probability of spinning a prime number on the second spin, given that a prime number was spun on the first spin.

So, the probability of spinning a prime number on the first spin is 4/6 or 2/3 (assuming a six-section spinner), since there are four prime numbers out of six possible outcomes.

Now, if a prime number was spun on the first spin, there are only five possible outcomes left for the second spin, since the outcome of the first spin is already determined. And out of those five outcomes, only three are prime numbers. So the probability of spinning a prime number on the second spin, given that a prime number was spun on the first spin, is 3/5.

To find the overall probability of spinning two prime numbers in a row, we multiply the probabilities of the two spins:

P(2 prime numbers) = (2/3) x (3/5) = 6/15 = 2/5

So the probability of spinning two prime numbers in a row is 2/5, or 40% (assuming a six-section spinner with four prime numbers).

The given inequality can be correctly shown in the graph containing all the numbers greater than or equal to 3. The correct option is (D).

A number line is a graphical representation of numbers on a line.

The number line has one convention that the positive numbers are always on the right side of the origin and the negative numbers are on the left side.

The inequality is given as below,

\(\frac{7x-3}{9} \geq 8 - 2x\)

It can be solved as follows,

\(\frac{7x-3}{9} \geq 8 - 2x\)

Multiply both sides by 9 to get,

⇒ 7x - 3 ≥ 9(8 - 2x)

⇒ 25x ≥ 75

⇒ x ≥ 3

It implies that the solution is the set of numbers greater than or equal to 3.

Hence, the solution of inequality is obtained as number line satisfying x ≥ 3.

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Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

A number's  root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as  or as 3 x 3.

Here,

If an equation have 2 roots , it means it is a quadratic function

If D=0, a quadratic function has two roots that are equal.

D (discriminant) = 0

=>b24ac=0 is required for a polynomial function to have equal roots.

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

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There are 7 people who can neither paint nor knit among those surveyed.

To solve this problem, we can use a Venn diagram to represent the information given. Let's denote the set of people who can paint as "P," the set of people who can knit as "K," and the set of people who can neither paint nor knit as "N."

From the information given, we know that there are 12 people who can paint (P) and 11 people who can knit (K). Additionally, 6 of the people who can paint can also knit, which means there is an overlap between P and K. We can represent this overlap as the intersection of P and K.

Using the information from the Venn diagram, we can calculate the number of people who can neither paint nor knit (N). Since the total number of people surveyed is 30, and we have accounted for the people who can paint (12) and the people who can knit (11), we can subtract these numbers from the total:

30 - (12 + 11 - 6) = 30 - 23 = 7

Therefore, there are 7 people who can neither paint nor knit among those surveyed.

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Answer:

hi

Step-by-step explanation:

Answer:

1 x 10^-12

Step-by-step explanation:

....

Answer:

78.54

Step-by-step explanation:

Use this equation when trying to find the area of a circle using diameter:              \(A=\frac{1}{4}\pi d^{2}\)

\(A= \frac{1}{4} * 3.14 * 10^{2}\)

A=78.54

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

Eat dino nuggies

Step-by-step explanation:

Answer:

15 percent of 160 is 24, so $24