X+6
Given f(x) =
x2 - 9x +18
which of the following is true?

The number of marbles in the bag illustrates probability

The conclusion about the number of marbles in the bag is that the bag can only contain one type of marble

The probabilities are given as:

P(Red) = 1

P(Green) = 1

For a distribution, the sum of all probabilities must equal to 1.

This means that:

P(Red) + P(Green) = 1

So, we have:

1 + 1 = 1

This gives

2 = 1

The above equation is false because 2 does not equal to 1.

So, the conclusion about the number of marbles in the bag is that the bag can only contain one type of marble i.e. either red marbles are in the bag or blue marbles are in the bag

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Using the vertex of the quadratic equation, it is found that a maximum height of 78.75 feet is reached after 2.13 seconds.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, the height is modeled by:

h(t) = -16t² + 68t + 6.5.

The coefficients are a = -16, b = 68, c = 6.5, and the vertex will be given by:

[tex]x_v = -\frac{b}{2a} = -\frac{68}{-32} = 2.13[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a} = -\frac{68^2 - 4(-16)(6.5)}{-64} = 78.75[/tex]

A maximum height of 78.75 feet is reached after 2.13 seconds.

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Answer:

n=9M, when m is 6,n=18

Step-by-step explanation:

If n is proportional to M

n=kM

27=3k

k=27/3

k=9

the formula on terms of n and M is

n= 9M

2) If m= 6,

n= 3M

n=3(6)

n=18

Answer:

n = 108

Step-by-step explanation:

given n is proportional to m² then the equation relating them is

n = km² ← k is the constant of proportion

to find k use the condition n = 27 when m = 3 , then

27 = k × 3² = 9k ( divide both sides by 9 )

3 = k

n = 3m² ← equation of proportion

when m = 6 , then

n = 3 × 6² = 3 × 36 = 108

Answer:✨Samantha✨

Step-by-step explanation:

Answer: the person above is wrong

Step-by-step explanation: Some ratios are not fractions.

and All fractions are ratios

Prime

Hope it helps.

Do comment if you have any query.

Answer:

prime

Step-by-step explanation:

I tried to delete my answer

Answer:

Step-by-step explanation:

First find the volume of the Cylinder, plug in the Radius (3), and the height (14) into the formula.

V= 3 x (3 squared) 9 x 14

V of Cylinder = 378 cm^3

V of Cone use the formula given,

V = [tex]\frac{3*9*5}{3}[/tex]

V = 45 cm^3

Add them together and you get 423 cm^3

Using the Newton's law of cooling, the time it takes to cool to 100°F is 116 mins.

According to the Newton's law of cooling, the when an object is exposed to the surrounding it looses heat rapidly untill it is at a thermal equilibrium with the suurroundings.

Now;

T(t) = T(s) + (To - Ts)e^-kt

T(t) = temperature at time T

To = initial temperature

Ts = temperature of the surrounding

k = colling constant

t = time taken

200 = 68 + (230 - 68)e^-15k

200 = 68 + 162e^-15k

200 - 68/162 = e^-15k

ln(0.815) = -15k

k = ln(0.815)/-15

k = 0.014 min-1

Now;

100 = 68 + (230 - 68)e^-( 0.014t)

100 -68/162 = e^-( 0.014t)

0.198 =e^-( 0.014t)

ln(0.198) = -( 0.014t)

t = ln(0.198)/-0.014

t = 116 mins

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Answer:

[tex]3.14 \times 10 ^{3} < 2.6 \times 10^{3} [/tex]

Step-by-step explanation:

[tex]3.14 \times 10 ^{3} [/tex]

[tex]3140[/tex]

[tex]2.6 \times 10 ^{4} [/tex]

[tex]26000[/tex]

Answer:

I am positve it 2mph

Step-by-step explanation:

becuase for evry hr u drive 2 miles

Answer:

Step-by-step explanation:

According to definition of the function, each input must have exactly one output.

One of the given relationships - T-shirt prices reveals two outputs.

All the rest show one-to-one relationship.

Answer:

16 quarters

Step-by-step explanation:

4 x 4 = 16

$1 = 4 quarter

Flynn has 16 quarters.

Answer:

Step-by-step explanation:

given that a bag contains 6 balls labelled A to F.

Given that a ball is drawn at random and its letter is recorded as outcome.

Since each ball is equally likely to be drawn the sample space for one ball drawing is

S = {A,B,C,D,E,F} and n(S) = 6

Let G be the event of choosing a lable from D to F

G = The event of choosing a label from D to F= {D,E,F}  n(A) = 3

A sample space is a set which contains the set of all the possible outcomes or results that could occur while performing an experiment.

i.e. the sample space while flipping a coin is: {H,T}

The sample space while tossing a six-sided die is: {1,2,3,4,5,6}

Here it is given that:

A bag has six balls labeled:  A,B,C,D,E,F

One ball will be randomly picked, and its letter will be recorded as the outcome.

       This means that the sample space is given by:

                     Sample space={ A,B,C,D,E,F}

Now, when the event is choosing a letter from   D to F.

            Then the sample space is:

                     Sample space= {D,E,F}

Answer:

0.8L = red

0.64L = yellow

0.06L = white

Step-by-step explanation:

R : Y : W

20 : 16 : 1.5

20 + 16 + 1.5 = 37.5

1.5 ÷ 37.5 = 0.04

0.04 × 20 = 0.8L = red

0.04 × 16 = 0.64L = yellow

0.04 × 1.5 = 0.06L = white

Answer:

27.8 nearest tenth pints

To find, divide the value by 16

Answer: It is the third to the top

Step-by-step explanation:

90's block each other out add you rotate it 180 degrees you get this.  

Answer:

Multiply the grade on the assignment by the grade weight. In the example, 85 times 20 percent equals 17, and 100 times 80 percent equals 80.

Step-by-step explanation:

Answer:

x=1 y=4
x=2 y=7
x=3 y=10

Step-by-step explanation:

To find the answer, you have to plug in the x-value for the equation to find y.

You will then find out that every time x increases by 1, y increases by 3.

Answer:

79.8

Step-by-step explanation:

Answer:

7176

Step-by-step explanation:

23 is a prime factor.

3 & 13 are the prime factors of 39.

2, 2, & 2 are the prime factors of 8.

Determine the max. number of times each prime factor occurs.

Calculate: 2^3 x 3 x 13 x 23 = 7176

Answer:

7,176

Step-by-step explanation:

The LCM of these numbers is found when you multiply the three numbers together: 23*39*8 = 7,176

Hope this helps!

Answer:

The base is a triangle with a base length of 11 m and a corresponding height of 7 m. The height of the prism is 14 m. 12.

Answer:

15.

Step-by-step explanation:

1) property:

m(∠B)+m(∠D)=180°;

2) according to the property:

3x+9x=180°; ⇒ x=15°

The value of x is 15 degree in the trapezoid ABCD.

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles

A trapezoid is a quadrilateral with one pair of opposite sides parallel.

ABCD is a trapezoid.

We have to find the value of x in the given quadrilateral.

The sum of opposite angles of a quadrilateral is 180 degrees.

m(∠B)+m(∠D)=180°

From the figure m(∠B) is 3x and m(∠D) is 9x

3x+9x=180°

Combine the like terms

12x=180

x=15 degrees.

Hence, the value of x is 15 degree in the trapezoid ABCD.

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Answer:

14.28%

Step-by-step explanation:

I'm not sure if it's right but this is how I worked it out,

the box's contents are 4.2 pounds in total,

therefore in a fraction it would be 6/42

you turn a fraction into a percentage you do the numerator divided by the denominator

6÷42=0.142857(decimal form)

now you just turn it into a percentage

14.28%

please correct me if I'm wrong

Answer:

66

Step-by-step explanation:

It's given that

Tn = 5n + 16

The 10th term is

T10 = 5(10) + 16

= 66

The 10th term of the sequence is 66.

In mathematics, a sequence is a list of numbers arranged in a specific order. Each number in the sequence is called a term. Sequences can be finite, meaning they have a specific number of terms, or they can be infinite, continuing indefinitely.

We have the rule: 5n + 16

Now, To find the 10th term of the sequence, we can substitute n = 10 into the given rule:

5n + 16 = 5(10) + 16 = 50 + 16 = 66

Therefore, the 10th term of the sequence is 66.

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