A company puts a code on each different product they sell. The code is made up of 3 numbers and 4 letters. How many different codes are possible?

Answer:

width = 9 ft

Step-by-step explanation:

Area = 135 ft².

if width = 'w', then length = w + 6.

Therefore, area = length × width = (w+6)w = 135.

\(w(w+6)=135\\w^2+6w-135=0\)

This is where the equation in the question comes from.

To solve this, we can factorise the quadratic equation. Using the 'splitting the middle' method, we can split the middle term into two terms, by finding 2 integers that multiply to give -135, and add to give 6, noting that the constant term is negative, so one of the integers will be negative and the other, positive. We get:

15, -9.

Therefore: we can now group the terms in pairs, and factorise each term by taking the common factor out, then factorising the result again.

\(w^2+6w-135=0\\w^2+15w-9w-135=0\\w(w+15)-9(w+15)=0\\(w+15)(w-9)=0\)

Now we can solve this quadratic equation to get the value of 'w'.

\((w+15)=0, (w-9)=0\)

∴\(w=-15, w=9\)

But since we are looking for a measurement/dimension, -15 is not applicable and width = 9 ft.

Applying the centroid theorem, the length of QK in the triangle is: 10.

The centroid of a triangle is the point of intersection of the three medians of the triangle. A median is a line segment that connects a vertex of a triangle to the midpoint of the opposing side. T

The Centroid Theorem states that the centroid of a triangle is located two-thirds of the distance from each vertex to the midpoint of the opposite side.

In other words, if G is the centroid of triangle ABC, then AG = (2/3)AD, BG = (2/3)BE, and CG = (2/3)CF, where D, E, and F are the midpoints of sides BC, AC, and AB, respectively.

Therefore, given that:

Q is the centroid of ΔJKL

PQ = 5

Thus, PQ = 1/3(PK) [according to the centroid theorem]

Substitute:

5 = 1/3(PK)

15 = PK

PK = 15

QK = PK - PQ

QK = 15 - 5

QK = 10 units

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Answer:

25 pages in 10 minutes.

Answer:

There are 45 pepperoni on 3 large pizzas

Step-by-step explanation:

This is because 75 divide by 5 is 15 so there are 15 pepporoni on one pizza

so it will be 15 times 3 which is 45

the number 3 represents the 3 pizzas

Answer: 0.001

Step-by-step explanation:

Given

The lock has 3 dials, each with the number 0 through 9.

The first place can be filled in 10 ways and the probability of selecting number '4' out of the 10 is  \(\frac{1}{10}\)

Similarly for selecting '3' and '9' is also \(\frac{1}{10}\)

Therefore the probability of getting a combination of 4-3-9 is

\(\Rightarrow P=\dfrac{1}{10}\times \dfrac{1}{10}\times\dfrac{1}{10}\\\\\Rightarrow P=\dfrac{1}{1000}\\\\\Rightarrow P=0.001\)

I don't know what the graph is counting by but here is an explanation:

Domain: (x value furthest left) ≤ x ≤ (x value furthest right)

Range: (y value furthest up) ≤ y ≤ (y value furthest down)

Answer:

5/8cm^3

Step-by-step explanation:

The formula for finding the volume of an object is the area of base times the height, in this case it can be shown as:

Length * width * height = volume

therefore we get the equation :

5/3 * 1/4 * 3/2 = 5/8

Both angles ∠a and ∠e need to be congruent, and an additional statement about the congruence of side AC or a corresponding side is needed to prove the triangles congruent using the ASA postulate.Option B

To prove two triangles congruent using the ASA (Angle-Side-Angle) postulate, you need to establish the congruence of two angles and the congruence of the included side.

In the given scenario, the congruence of angle A and angle D is already given (as denoted by ∠a and ∠e). This fulfills one of the requirements of the ASA postulate. However, to fully prove the congruence of the triangles, you need to establish the congruence of the included side, which is side AC.

To establish the congruence of side AC, you need additional information. According to the given information, BC is congruent to DC (as denoted by bc ≅ dc). This information alone is insufficient to prove the congruence of side AC, as it only establishes the congruence of two non-included sides.

In order to use the ASA postulate, you would need an additional piece of information that directly relates to side AC. This could be a statement indicating that side AC is congruent to a corresponding side in the other triangle, or a statement indicating that the two triangles share a common side length for AC.

Once you have this information, you can combine it with the congruence of angles A and D to prove the triangles congruent using the ASA postulate.

Option B

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Answer:

(-2, 5/3)

Step-by-step explanation:

y=2/3x+3

x = -2

Substitute x = -2 into the first equation

y = 2/3 (-2) +3

y =-4/3+3

y =-4/3+19/3

y = 5/3

(-2, 5/3)

Answer:

A= -17

Step-by-step explanation:

A +-21 = -38

    +21     +21

-38+21= -17

A= -17

Answer:

a = -17

Step-by-step explanation:

To solve this, we need to get A alone:

A + -21 = -38

—- +21- +21

Remember, when you do something to one side, you need to do the same thing to the other side.

Now:

A = -17!

To check:

-17 + -21 = -38

Therefore, A = -17

The cost of the loan is increasing as time goes by.

The standard exponential function is expressed as:

y = ab^x

b is the rate of the function

The value of  b depends on the increase or decrease in the rate

Since the value of b in the function 5000(1.08)^x is greater than 1, hence the the cost of the loan is increasing as time goes by.

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Answer:

6.8

Step-by-step explanation:

Shown in delta

Answer:omg I gotchu I just learned these for the letters for example would be q/1 times 2/7 because if you have one letter or number you ALWAYS put a one under it then u multiply another easy trick don’t butterfly multiply go straight across and example 8/1 (all ways add the one) times 3/4. Ok how to multiply that always go across so it would be 8x3 and 1x4 your answer should be 24/4 and simplify if needed

Step-by-step explanation:

1).

\(8 \times \frac{3}{4} \)

\( = > \frac{8}{1} \times \frac{3}{4} \)

Cancel 8 and 4 by using 2 table

\( = > \frac{4}{1} \times \frac{3}{2} \)

Cancel 4 and 2 by using 2 table

\( = > \frac{2}{1} \times \frac{3}{1} \)

Now multiply 2×3

\( = > \frac{6}{1} = 6\)

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2).

\(9 \times \frac{2}{7} \)

\( = > \frac{9}{1} \times \frac{2}{7} \)

(Here.. we cant cancel)

So multiply the numbers..

\( = > \frac{18}{7} \)

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3).

\( \frac{1}{4} \times \frac{2}{5} \)

Cancel 2 and 4 by using 2 table

\( = > \frac{1}{2} \times \frac{1}{5} \)

Multiply..

\( = > \frac{1}{10} \)

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4).

\( \frac{4}{5} \times \frac{1}{3} \)

(Here we cant cancel)

\( = > \frac{4}{15} \)

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Answer: Check below

Step-by-step explanation:

Okay so the Pythagorean Theorem was made by some old guy and the formula is a^2+b^2=c^2. You ALWAYS have to subtract the leg of the triangle when your finding a leg. You squareroot the square of the two legs if your finding the hypotnuse. The Theorem can be used to find any side of the triangle ONLY IF its a right triangle. An adult might use it in real life like when your an architect trying to find how much material you should use to make something thats in the shape of a right triangle.

Ps. Sorry if there's a bunch of grammar mistakes since this is kinda rushed

Answer:

\( →{6}^{3} \times {9}^{3} \\ = ( {2}^{3} \times {3}^{3} ) \times ( {3}^{3} \times {3}^{3} ) \\ = {2}^{3} \times {3}^{3} \times {3}^{3} \times {3}^{3} \\ = \boxed{{2}^{3} \times {3}^{9} }✓\)

[(-2-5 )x (-6) ]  is greater than (-2 ) +(-5)x(-6) ]  and the absolute value of greatest integer is 42.

A number system is defined as a system of writing to express numbers.

{(−2)−5}×(−6) and (−2)+(−5×(−6)

Let us solve the expression

{(−2)−5}×(−6)

=-7×(−6)

=42

similarly let us solve for expression [ (-2 ) +(-5)x(-6) ]

=(-2 ) +30

=28

As 42>28

{(−2)−5}×(−6) > (−2)+(−5×(−6)

Therefore [(-2-5 )x (-6) ]  is greater than  (−2)+(−5×(−6).

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The correct answer to this question is option E.

A preposition is a word or group of words used before a noun, pronoun, or noun phrase to show direction, time, place, location, or spatial relationships, or to introduce an object. We can't find an error in the sentence. 'Is essentially' agrees with the singular subject 'book'. 'Very well' is modifying the adjective 'documented'. The preposition 'of' is correctly combined with the relative pronoun 'what'. 'Each' is correctly combined with the preposition 'of'.Thus, option E is the correct choice.

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Answer:

The answer would be simple, all you do is divide 55 by 2 and there is your MPH, so you would be going 27.5 MPH! there you go

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Central Limit Theorem

The central limit theorem says that the sampling distribution of the mean will always be normally distributed, as long as the sample size is large enough

Answer:

Step-by-step explanation:

You want the doubling time for an investment at 11% annual interest, compounded 3 times per year, and if it were compounded continuously.

For interest compounded n times per year at annual rate r for t years, the multiplier of the investment is ...

  k = (1 +r/n)^(nt)

We want to find t when the multiplier is 2.

  2 = (1 +0.11/3)^(3t)

Taking logarithms, we have ...

  log(2) = 3t·log(1 +0.11/3)

  t = log(2)/(3·log(1 +0.11/3)) ≈ 6.416 . . . . years

It will take 6.416 years to double.

When the interest is compounded continuously, the multiplier is ...

  k = e^(rt)

Filling in the values of k and r, and taking logarithms, we have ...

  2 = e^(0.11t)

  ln(2) = 0.11t

  ln(2)/0.11 ≈ 6.301 . . . . years

It would only take 6.301 years.

The points are basically numbers and use those points to help you figure out which equation is true or in you case best models the graph.

Answer:

Option (D) is correct

Step-by-step explanation:

Hope this helped if so please leave a rating! :)

THANKS

Option b accurately interprets the slope coefficient in the context of the regression equation provided. b. As x increases by 1 unit, y is predicted to decrease by 17 units.

In the given sample regression equation, the slope coefficient (-17) represents the rate of change in the predicted value of y (y-hat) for each one-unit increase in x. Since the coefficient is negative, it indicates a negative relationship between x and y.

Specifically, for every one-unit increase in x, the predicted value of y is expected to decrease by 17 units. Therefore, option b accurately interprets the slope coefficient in the context of the regression equation provided.

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Answer:

11243551576.8

Step-by-step explanation:

Answer:

1.12435516E10

Step-by-step explanation:

i went on a caulculater

Answer:

\(e\approx2.71828\)

Step-by-step explanation:

I assume you mean \(\lim_{x \to 0} (1+x)^{\frac{1}{x}}\), which is just the definition of the constant \(e\), also known as Euler's Number.

Answer: 400/685, which simplifies to 80/137. Decimal is about 0.58.

Step-by-step explanation: To calculate the slope of an incline, all you have to do is put the rise over run. In other words, y/x. In this case, The Duquesne incline rises 400 feet while moving horizontally 685, which gives you both the x and the y.

Answer:

C

Step-by-step explanation:

Perimeter of a hexagon: Side length (s) x 6

Replacing with the value given:

49 1/2 = 6 s

Solve for s ( side length)

(49 1/2) /6 = s

s= 33/4 ft

Answer:

(5,1)

Step-by-step explanation:

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.

brainliest pls

Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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