A letter of the English alphabet is followed by a digit from 0 to 9.

How many different outcomes are in each sample space?

Answer:

5ft > can ride the roller coaster??

Step-by-step explanation:

im not 100% sure what u mean

Answer:

A(x) is at its maximum at x = 5, or (5, 25)

Step-by-step explanation:

Putting A(x)=x(10-x) back into its standard form gives A(x) = -x^2 + 10x. The equation to find the x value in vertices in these types of functions is -b / 2a, the letters pertaining to the coefficients. In this case, this graph would have a maximum at -(10)/2(-1), or -10/-2 = 5 --> Thus, when x=5, the downwards facing graph is at its maximum

(Might not be important but another method to solve:)
Take the derivative of the function A(x) = x(10-x) and set it equal to 0 to find the x value of all vertices. In this case, A'(x) = -2x + 10,
-2x + 10 = 0
-2x = -10
x = 5
A(x) is at its maximum at x=5 because it is when A'(x), the derivative, is equal to 0 and thus has a flat slope (or vertex)

Answer:

(5, 25)

Step-by-step explanation:

A(x) is a parabola meaning the max point would be called the vertex

Expand A(x)

[tex]x(10 - x) = 10x - x^{2}\\x^{2} -10x[/tex]

The vertex point is (h, k)

To find h:

[tex]h =- \frac{-b}{2a} \\b = -10\\a = 1\\h = - \frac{-10}{2(1)} \\h = - \frac{-10}{2} \\h = 5[/tex]a and b are from the equation [tex]ax^{2} + bx[/tex]

To find k, plug in h values:

[tex]k = \\f(5) = 5^{2} - 10(5)\\f(5) = 25[/tex]

vertex = (h, k) = (5, 25)

graph attached as well for a visual

Answer:

v = -14

Step-by-step explanation:

» Solution

Step 1: Distribute the -4 to the terms inside the parantheses.

Step 2: Add 28 to both sides.

Step 3: Divide both sides by -4.

Therefore, v = -14.

Answer:

its 2b+30 bc you can't find b in this case

Step-by-step explanation:

Answer:

x=12m

Step-by-step explanation:

44 divide by 3 2/3 = 12

Answer:

y = -6

Step-by-step explanation:

Lines that are parallel have the same slope

y= 2 means that it is a horizontal line

The parallel line must be in the same form

y=

We want it through the point (-1,-6)

y = -6

The Answers are B,C, and E

I got this by graphing the function of h(x) and the parent function f(x) on the same graph and analogizing the shifts of h(x) from the parent graph f(x). Also the function included two different y-intercepts.

Answer:

120 different outfits.

Step-by-step explanation:

10x4=40

40x3=

120

Answer:

13.5

Step-by-step explanation:

Answer:11 and 27

Step-by-step explanation:

11+16=27 and they are 16 years apart and because it says 5 years 27+5=32 and if you add 5 to 11 you get 16 and 16+16=32

The owners intend to store machinery in the undercover storage is a wise idea as it will not be exposed to too much sunlight or water damage.

Machinery is known to be any kind of mechanical, electrical, or electronic tool that has been set up to carryout some basic function.

Note that The owners intend to store machinery in the undercover storage is a wise idea as it will not be exposed to too much sunlight or water damage and as such it is advisable only in some cases.

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Answer:

1,067,610 cloth will be produced in 285 days

Step-by-step explanation:

- 3746 meters of cloth in a day

- in 285 days

3746 x 285 = 1,067,610

The factor from the provided expression of the variable x and y is taken out. The resultant expression is -1/4(2x-5y).

The factor of a equation is the terms or number which is common in all the terms of the that equation.

The first term of the equation is,

-1/2x

Multiply with 2 in numerator and denominator of this term as,

-2/4x

(-1/4)2x

Now the second term of the equation is,

-5/4y

Rewrite this term as,

(-1/4)5y

Thus, the expression become,

1/2x - 5/4y

(-1/4)2x- (-1/4)5y

-1/4(2x-5y)

Hence, the factor from the provided expression of the variable x and y is taken out. The resultant expression is -1/4(2x-5y).

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Answer:

So first we need to determine what the exponential growth function would look like.  Exponential growth functions look like [tex]P(t) = P_0*e^{r*t}[/tex] and in our case [tex]P_0[/tex] would be the initial population which is 6.63 million.  R is the next variable that we need to fill out which is the rate of change which in our case is 3.01% or 0.0301.

This is how our function should look now [tex]P(t)=6.63*e^{0.0301*t}[/tex]

Moving onto part b, we need to estimate the population of the city in 2018 which 6 years from 2012 and we plug that into t and solve.

[tex]P(t) = 6.63 * e^{0.0301*6}[/tex]

[tex]P(t) = 6.63*e^{0.1806}[/tex]

[tex]P(t) = 6.63 *1.1979[/tex]

[tex]P(t) = 7.9423\ million[/tex]

Moving onto part c, we need to find when the population of the city will be 11 million which will be done by setting P(t) to 11 million and solving for t.

[tex]11 = 6.63*e^{0.0301*t}[/tex]

[tex]\frac{11}{6.63} = \frac{6.63*e^{0.0301*t}}{6.63}[/tex]

[tex]1.659=e^{0.0301*t}[/tex]

[tex]ln(1.659)=ln(e^{0.0301*t})[/tex]

[tex]\frac{0.506}{0.0301}=\frac{0.0301*t}{0.0301}[/tex]

[tex]16.818\ years = t[/tex]

Moving onto part d, we need to find the doubling time.  This will be similar to the previous part but we will be finding the time it takes to double our population.  So instead of putting 11 million for P(t) we put 6.63 * 2 in there which is 13.26.

[tex]13.26 = 6.63*e^{0.0301*t}[/tex]

[tex]\frac{13.26}{6.63} = \frac{6.63*e^{0.0301*t}}{6.63}[/tex]

[tex]2=e^{0.0301*t}[/tex]

[tex]ln(2)=ln(e^{0.0301*t})[/tex]

[tex]\frac{0.693}{0.0301}=\frac{0.0301*t}{0.0301}[/tex]

[tex]23.028\ years = t[/tex]

Hope this helps!  Let me know if you have any questions

Answer:  a. 9 miles   b. 28 miles

Step-by-step explanation:

PART A:

Area = Length x Width

Therefore, 5 times some number = 45.

To solve this, use division - 45/5 = 9 miles

PART B:

Perimeter = L + L + W + W

You know width is 5 miles and length is 9 miles.

5+5+9+9 = 28 miles.

The theoretical possibility of choosing a red earring is 1/10, 10%.

The experimental possibility of choosing a red earring is 8/25, 32%

The theoretical possibility of choosing a blue earring is 1/5, 20%.

The experimental possibility of choosing a blue earring is 7/15 or 28%.

Theoretical probability determines the chances that a random event would happen.

Theoretical probability = number of the earing in the box / total number of earrings

Red earrings = 2/20 = 1/10 = 10%

Blue earrings = 4/20 = 1/5 = 20%

Experimental probability is based on the result of an experiment that has been carried out multiples times

Experimental probability = number of times the earing was chosen / number of time the experiment was conducted

The experimental possibility of choosing a red earring= 16/50

=  8/25, 32%

The experimental possibility of choosing a blue earring = 14/50 = 7/25 = 28%

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Answer:

add 2 to 13 thats 15 divided by 3 is 5

Step-by-step explanation:

Answer:

(−7,−2)

Step-by-step explanation:

Use the vertex form, y=a(x−h)2+k, to determine the values of a, h, and k.

a=4

h=−7

k=−2

(−7,−2)

The area of a square is the square of its side. The area of the square is 2.2477 units².

The area of a square is the square of its side. It is given by the formula,

Area of the square = a²

Given the circumference of the circle is 9.42 units. Therefore, the radius of the circle can be written as,

Circumference of the circle = 2πr

[tex]\rm9.42\ units= 2\pi r\\\\r = \dfrac{9.42}{2\pi}\ units[/tex]

Now, as the side of the square is equal to the radius of the circle, therefore, the area of the circle will be equal to,

Area of the circle = a² = r²

[tex]\rm \text{Area of the circle }= (\dfrac{9.42}{2\pi})^2[/tex]

                            [tex]\rm = \times \dfrac{9.42}{2\pi} \times \dfrac{9.42}{2\pi}\\\\ = 2.2477\ units^2[/tex]

Hence, the area of the square is 2.2477 units².

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Answer:

12

Step-by-step explanation:

[tex]3|-4| = 3(4) = 12[/tex]

Answer:

[tex] | - 4| = 4 \\ 3 \times 4 = 12[/tex]

For a wheelchair ramp with a length of 82 inches has a horizontal distance of 80 inches is mathematically given as

v = 18inches

Generally, the equation for vertical distance is mathematically given as

r^2 = h^2 + v^2

(82)^2 = (80)^2 +v^2

6724 = 6400 + v^2

v^2 = 6724-6400

v^2 = 324

v = [tex]\sqrt{324}[/tex]

v = 18inches

In conclusion, the ramp's vertical distance is

v = 18inches

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Answer: The answer is 1600.

Step-by-step explanation:

Answer:

1600

Step-by-step explanation:

40 * 40 = 1600

an easy way to figure this out is

4 * 4 = 16

add two zeros (since there are two zeros in 40 and 40)

1600 is your answer

hope this helps :)

Answer:

tan(theta) = 3/4

Answer:

Step-by-step explanation:

Answer:

y = x + 7

Step-by-step explanation:

Answer:

Answer is in attachment

Pls Mark brainliest :)

Answer:

Part A: 81.5%

Part B: About 95% of the data lie between 53 and 65.

Step-by-step explanation:

Note: the percentages marked in red and blue never change

For Part A, we add the percentages that are between 53 and 62. So, 34% + 34% + 13.5% which is 81.5%

For Part B, we can look at this graph and seen that 95% of this data set lies between 53 and 65

Hope this is correct and of help!