Five digit serial numbers for a product are to be made using letters and/or numbers, e.G. JGR29. The serial number could have all letters, all numbers or a mix of both. Repetition of characters is NOT allowed. How many such serial numbers can be made?

Answer:

a+3

Step-by-step explanation:

8 + 3a + 2a + 0 + 7                   Collect the like terms

5a + 15                                      To get the mean, divide by 5

5a/5+ 15/5

a + 3

Answer:

So, negatives cancel each other out.

Step-by-step explanation:

The answer is 63.

A negative times a negative gives you a positive.

-9 x -7 brings you = 63.

Answer:

I believe it is l-3/2l because it is 1 1/2

Answer:

Step-by-step explanation:

|-3/2| is bigger than -2/3

the absolute value of |-3/2| is 3/2

Answer:

a zero

b commutative

The probability of randomly meeting a three-child family with either exactly one or exactly two boy children is 3/4.

The events described are non-overlapping. Let E be the event of randomly meeting a three-child family with exactly one boy child.

Let F be the event of randomly meeting a three-child family with exactly two boy children.

P(E) = probability of meeting a family with exactly one boy child

P(F) = probability of meeting a family with exactly two boy children

Given that the events E and F are non-overlapping.

So, we can use the formula of either/or probability:

P(E or F) = P(E) + P(F)P(E or F)

= probability of meeting a family with exactly one or two boy children

P(E or F) = P(E) + P(F)P(E or F)

= (number of ways to get a family with exactly one boy child) / (total number of three-child families) + (number of ways to get a family with exactly two boy children) / (total number of three-child families)

P(E or F) = (3 * 2 * 1) / (2 * 2 * 2 * 3) + (3 * 2 * 1) / (2 * 2 * 2 * 3)

P(E or F) = 6/8

P(E or F) = 3/4

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Answer: 7.38

We have to divide the number 458 by 62.

458 ÷ 62 = 7.387...

We have to make this decimal shorter.

We get the number 7.38 while rounding to the nearest tenth.

The answer is 7.38. Hope this helps!

Answer:

Step-by-step explanation:

Line through the points:

Equation of line

Perpendicular line has a slope that is negative reciprocal to this one, so

This line has y-intercept of 4 as it passes through the point (0, 4)

So the line is:

Answer:

(g · h)(5) = -50

Step-by-step explanation:

Step 1: Define

h(x) = x - 7

g(x) = x²

Step 2: Find (g · h)(x)

(g · h)(x) = x²(x - 7)

(g · h)(x) = x³ - 7x²

Step 3: Find (g · h)(5)

(g · h)(5) = 5³ - 7(5)²

(g · h)(5) = 125 - 7(25)

(g · h)(5) = 125 - 175

(g · h)(5) = -50

Answer: the answer is b 3<_ x<_7 or x is between 3 and 7, inclusive

Step-by-step explanation:

Answer:

Hi you

Hope that will help you

Nice time

Answer:

Step 3

Step-by-step explanation:

The exponents haven't been solved right.

For powers when multiple you add them together

Answer:

 d=4

Explanation:

a sum of three times a number d and 6 is 17    =   3d+5=17

sum: +

three times: 3 x ?

number d : variable

and 6 : +6

is 17: =17

Solve:

3d+5=17

    -5   -5

3d=12

/3    /3

d=4

9514 1404 393

Answer:

  9

Step-by-step explanation:

"Varies directly" means the values change by the same factor. Here, we have y increasing from 13 to 39, by a factor of 3.

Since x varies directly as y, it, too, will increase by a factor of 3:

  x = 3·3

  x = 9

__

Alternate solution

"Varies directly" is another way to say the values are proportional. Then the new value of x can be found from ...

  x-value/y-value = 3/13 = x/39

Multiplying by 39 gives ...

  x = 39(3/13) = 3·3

  x = 9

Hmmmm

This looks like homework, you sure you've read the terms of service?

The possible Values of x are x = 0 and x = 8/5.

To find the value of x in the given geometric progression, we need to determine the common ratio between consecutive terms.

Let the first term of the geometric progression be a, and let the common ratio be r. Then, we can write the second term as ar, the fourth term as ar^3, and the sixth term as ar^5.

Given that the second term is 2x - 4, the fourth term is 13x + 4, and the sixth term is 122x - 4, we can set up the following equations:

ar = 2x - 4    (equation 1)

ar^3 = 13x + 4    (equation 2)

ar^5 = 122x - 4    (equation 3)

To solve these equations, we can divide equation 2 by equation 1, and equation 3 by equation 2:

(ar^3) / (ar) = (13x + 4) / (2x - 4)

(ar^5) / (ar^3) = (122x - 4) / (13x + 4)

Simplifying these equations, we get:

r^2 = (13x + 4) / (2x - 4)    (equation 4)

r^2 = (122x - 4) / (13x + 4)    (equation 5)

Since the common ratio r is the same in both equations, we can equate the right sides of equations 4 and 5:

(13x + 4) / (2x - 4) = (122x - 4) / (13x + 4)

To solve this equation for x, we can cross-multiply and simplify:

(13x + 4)(13x + 4) = (2x - 4)(122x - 4)

169x^2 + 104x + 16 = 244x^2 - 16x - 1

Simplifying further, we get:

75x^2 - 120x = 0

15x(5x - 8) = 0

This equation is satisfied when either 15x = 0 or 5x - 8 = 0.

If 15x = 0, then x = 0.

If 5x - 8 = 0, then x = 8/5.

Therefore, the possible values of x are x = 0 and x = 8/5.

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The value of x in the given geometric progression is 2.

In a geometric progression, the ratio between each consecutive pair of terms is the same. Therefore, we can identify that the common ratio in our case is equal to the ratio (13x+4) / (2x-4). We can also find the ratio between the second term and the third term, which is (122x-4) / (13x+4). Since both these ratios must be the same, we can set them equal to each other and solve for x.

So, we end up with the equation: (13x + 4) / (2x - 4) = (122x - 4) / (13x + 4), simplifying this equation would give us x = 2.

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Answer:

3 books per month

Step-by-step explanation:

If Allison reads 9 books in 3 months and you need to know how many books she reads each month, just divide how many books she has read by how many months it took.

9 books / 3 months = 3 books per month

The lower specification limit (LSL) for the plastic liner is 3.9 mm (rounded to three decimal places).

To calculate the upper specification limit (USL) for the plastic liner, we know that it lies about 5 standard deviations (σ) from the centerline or mean thickness. The process has a mean thickness of 4.0 mm and a standard deviation (σ) of 0.02 mm.

So, the USL can be calculated as follows:

USL = Mean + (5 * σ)

= 4.0 mm + (5 * 0.02 mm)

= 4.0 mm + 0.1 mm

= 4.1 mm

Therefore, the upper specification limit (USL) for the plastic liner in this highway project is 4.1 mm (rounded to three decimal places).

Similarly, the lower specification limit (LSL) can be calculated by subtracting 5 standard deviations from the mean thickness:

LSL = Mean - (5 * σ)

= 4.0 mm - (5 * 0.02 mm)

= 4.0 mm - 0.1 mm

= 3.9 mm

Therefore, the lower specification limit (LSL) for the plastic liner is 3.9 mm (rounded to three decimal places).

It's worth noting that the given information also mentions the process capability index (Cpk), which is a measure of how well the process meets the specifications. In this case, the Cpk is calculated as (USL - Mean) / (3 * σ), and it is determined to be 1.667 (rounded to three decimal places).

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Answer:

I can't understand your question. what is the meaning of these 3, 4 ,16 in your question

Answer:

Step-by-step explanation:

perimeter P = 2L + 2W

where

Perimeter P = 56 m

Width W = L - 8 m

find:

length L

width W

solution:

just plugin the values into the formula:

P = 2L + 2W

56 = 2L + 2(L - 8)

56 = 2L + 2L - 16

56 + 16 = 4L

L = 72/4

L = 18 m

solve for W:

substitute L=18 back into the equation W=L-8

W = 18 - 8

W = 10 m

therefore:

length L = 18 m

Width W = 10 m

proof:

56 = 2(18) + 2(10)

56 = 36 + 20

56 = 56 ----- OK

Answer:32

Step-by-step explanation:You have to Add to get your answer.I'll show you how I got 32:

5+3=8

8+19=27

27+5=32

Your answer is: 32

Answer:

  JL = 54

Step-by-step explanation:

When K is the midpoint of JL, we have ...

  JK + KL = JL

and

  JK = KL

Using this latter equation, we can substitute the given expressions to get

  (8x+11) = (14x -1)

  12 = 6x . . . . . . . . . add 1-8x to both sides

  2 = x

Using this, we can find JL.

  JK = 8x +11 = 8(2) +11 = 27

  KL = JK = 27

  JL = JL +KL = 27 +27

  JL = 54

Answer:

Im pretty sure it is

1 1/2 sq ft per hour

3/4 in 2/4

Double it

1 2/4 in 1

Simplifies to 1 1/2

The unit rate that fertilizer cover is 3/2 square foot.

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A fertilizer covers 3/4 square foot in 1/2 hour.

So, unit rate fertilizer covers

= 3/4 x 2

= 3/2 square foot.

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a. the equation for the object's velocity is v(t) = -6 cos(t) - 1. b. the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.

a) To find the equation for the object's velocity, we need to integrate the acceleration function with respect to time.

The integral of a(t) = 6 sin(t) with respect to t gives us the velocity function v(t):

v(t) = ∫(6 sin(t)) dt

Integrating sin(t) gives us -6 cos(t), so the equation for the object's velocity is:

v(t) = -6 cos(t) + C

To find the constant C, we use the initial velocity v(0) = -7 m/s:

-7 = -6 cos(0) + C

-7 = -6 + C

C = -1

Therefore, the equation for the object's velocity is:

v(t) = -6 cos(t) - 1

b) To find the object's displacement from time 0 to time 3, we need to integrate the velocity function over the interval [0, 3]:

Displacement = ∫[0,3] (-6 cos(t) - 1) dt

Integrating -6 cos(t) gives us -6 sin(t), and integrating -1 gives us -t. Applying the limits of integration, we have:

Displacement = [-6 sin(t) - t] from 0 to 3

Plugging in the upper and lower limits:

Displacement = [-6 sin(3) - 3] - [-6 sin(0) - 0]

Displacement ≈ -6 sin(3) + 3

Therefore, the object's displacement from time 0 to time 3 is approximately -6 sin(3) + 3 meters.

c) To find the total distance traveled by the object from time 0 to time t, we need to integrate the absolute value of the velocity function over the interval [0, t]:

Total Distance = ∫[0,t] |(-6 cos(t) - 1)| dt

Since the absolute value function makes the negative part positive, we can rewrite the equation as:

Total Distance = ∫[0,t] (6 cos(t) + 1) dt

Integrating 6 cos(t) gives us 6 sin(t), and integrating 1 gives us t. Applying the limits of integration, we have:

Total Distance = [6 sin(t) + t] from 0 to t

Plugging in the upper and lower limits:

Total Distance = [6 sin(t) + t] - [6 sin(0) + 0]

Total Distance = 6 sin(t) + t

Therefore, the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.

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Answer:

no change as mode is what appears the most and there is no other 35 :)

brainliest plz

Step-by-step explanation:

Answer:

500 centimeters

Step-by-step explanation:

Answer:

500 Centimeters

Step-by-step explanation:

To evaluate the limit of f(x) as x approaches 3 from the left, we substitute the value of x that is slightly less than 3 into the first part of the piecewise function. Therefore[tex], lim f(x)[/tex]as x approaches 3- is equal to lim (3 - 2 + x) as x approaches 3-. Simplifying further, we get lim f(x) as x approaches 3- = 3 - 2 + 3 = 4.

To evaluate the limit of f(x) as x approaches 3 from the right, we substitute the value of x that is slightly greater than 3 into the second part of the piecewise function. Therefore, lim f(x) as x approaches 3+ is equal to lim (4 - x) as x approaches 3+. Simplifying further, we get lim f(x) as x approaches 3+ = 4 - 3 = 1. Now, to determine whether the function f is continuous at x = 3, we compare the left-hand limit[tex](lim f(x)[/tex]as x approaches 3-) and the right-hand limit [tex](lim f(x)[/tex] as x approaches 3+).

If the two limits are equal and the function value at x = 3 (f(3)) is equal to the limits, then the function is continuous at x = 3. In this case, the left-hand limit is 4, the right-hand limit is 1, and the function value at x = 3 is not given. Since the left-hand and right-hand limits are not equal, the function f is not continuous at x = 3.

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Answer:

X & Y offer the same discount of 900

Step-by-step explanation:

[tex] \frac{1}{5} = \frac{3}{15} [/tex]

In this scenario, both shops offer the same discount.

[tex]4500( 1 - \frac{1}{5} ) = 3600 \\ \\ 4500(1 - \frac{3}{15} ) = 3600[/tex]

Answer:

A a reflection across line k followed by a translation down

Step-by-step explanation:

EDGE 2020

Answer:

a reflection across line k followed by a translation down

Step-by-step explanation:

The answer above is correct.