explain how the ratios ARE proportional explain your thinking 2: 22, 3 to 15, and 1: 11.

Answer:

x = 5

Step-by-step explanation:

Given

\(\frac{20}{16}\) = \(\frac{x}{4}\) ( cross- multiply )

16x = 80 ( divide both sides by 16 )

x = 5

Answer:

Undercoverage

Step-by-step explanation:

Using a local telephone book to select a simple random sample could introduce UNDERCOVERAGE bias.

I hope it helps! Have a great day!

The trinomial expression of the expression (2x + 6)(2x + 8) is \(4x^2\) + 28x +48

The given expression is

(2x + 6)(2x + 8)

The expression is the combination of the different types of variables, numbers and mathematical operators. The mathematical operators are addition, subtraction, division and multiplication. The equal and inequality sign will not be a part of expression

The trinomial expression is an expression with three terms

The expression is

(2x + 6)(2x + 8)

Apply distributive property

2x(2x+8) + 6(2x+8)

= \(4x^2\) + 16x + 12x + 48

= \(4x^2\) + 28x +48

Hence, the trinomial expression of the expression (2x + 6)(2x + 8) is \(4x^2\) + 28x +48

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Exponential equation to determine when the balance of the account will be $1500 is 1500 = 1000 * 1.05^t.

The balance of the account after t years can be modeled by the exponential equation: balance = 1000 * 1.05^t

To find the number of years it will take for the balance to reach $1500, we can set up the equation: 1500 = 1000 * 1.05^t

b. To solve this equation, we can divide both sides by 1000:

1.5 = 1.05^t

Then we can take the logarithm of both sides to get:

t = log(1.5)/log(1.05)

Using a calculator, we find that t = 6.44 years. This is the number of years it will take for the balance of the account to reach $1500.

Therefore, Exponential equation to determine when the balance of the account will be $1500 is 1500 = 1000 * 1.05^t.

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Answer:

C. 1/2(18 x 6)

Step-by-step explanation:

1/2 base x height is the equation used, so plug in the numbers and you get 1/2(18 x 6)

Answer:

C

Step-by-step explanation:

We see that the shaded area of the rectangle is a right triangle. This is great for us.

The formula for finding the area of a triangle is (base*height)/2=area. Over here, the base is 18 and the height is 6, so we plug in those numbers and get (18*6)/2=108/2=54. I just went ahead and looked at all the answers knowing the answer but you can tell it isn't A or B because there is addition and you can tell it isn't A or C because it doesn't half it.

Please tell me if you have any questions.

Answer:

1. The set of whole numbers contains the set of rational numbers.  FALSE.

The set of integers contains the set of rational numbers

2. Every terminating decimal is a rational number.       TRUE

3. Every square root is a rational number.       FALSE

Many square roots are irrational numbers, meaning there is no rational number equivalent.

4. The integers are closed under addition.      TRUE

Answer:

Yes, the graph crosses the x-axis at x = -2.

Step-/by-step explanation:

Substitute x = -2 in the equation.

     \(\sf y =\dfrac{1}{2}x + 1\\\\y =\dfrac{1}{2}*(-2)+1\\\\y = - 1 + 1\\\\y = 0\)

At x-axis, the value of y = 0.

So, the graph crosses the x-axis.

From the test points, we find that f(x) is increasing on the interval (1, ∞), including the endpoint 1 for the function f(x) = x3+ 3x2 - 9x + 14.

To determine on what interval f(x) is increasing, we need to find the derivative of f(x) and solve for when it is greater than zero.
f'(x) = 3x^2 + 6x - 9

Setting f'(x) > 0, we can solve for x: 3x^2 + 6x - 9 > 0

Dividing by 3, we get: x^2 + 2x - 3 > 0

Factoring, we have: (x + 3)(x - 1) > 0

This expression is greater than zero when both factors are either both positive or both negative.

Thus, we have two intervals: x < -3 and x > 1

Testing values in each interval, we can see that f(x) is increasing on:
(-infinity, -3) and (1, infinity)

Therefore, the interval on which f(x) is increasing (including the endpoints) is: [-3, 1]

To determine the interval on which the function f(x) = x^3 + 3x^2 - 9x + 14 is increasing, we first need to find its critical points by taking the derivative and setting it equal to 0.

f'(x) = 3x^2 + 6x - 9

Now, set f'(x) to 0 and solve for x:

0 = 3x^2 + 6x - 9

We can factor out a 3:

0 = 3(x^2 + 2x - 3)

Now, factor the quadratic equation:

0 = 3(x - 1)(x + 3)

So, the critical points are x = 1 and x = -3.

To determine if f(x) is increasing or decreasing in each interval, we can use a number line with the critical points:

-∞ < x < -3,  -3 < x < 1,  1 < x < ∞

Choose a test point in each interval and evaluate f'(x):

For x = -4: f'(-4) = -16 (negative)
For x = 0: f'(0) = -9 (negative)
For x = 2: f'(2) = 15 (positive)

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For a clinical trial (study) on the mean GPA of night students, the appropriate null and alternative hypotheses would be given by:

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

For a clinical trial (study) on the mean GPA of night students, the appropriate null and alternative hypotheses would be given by:

In conclusion, we can infer and logically deduce that this test would be right-tailed.

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Answer:

below

Step-by-step explanation:

that's is the solution above

Answer:

A-a product that assists a person in breaking a tobacco habit

Step-by-step explanation:

Answer:

a product that assists a person in breaking a tobacco habit

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

Since we know what each value of the three variables are, you can substitute each variable in the expression to get:  

\(8^{2} -12(\frac{1}{2})\) ÷ 3  

Simplify to get:

64 - 6 ÷ 3

Solve the rest:

64 - 2  →  62

Answer: 62

Hope this helps! :)

Answer:

50/77

Step-by-step explanation:

(1÷2 3/4)+(1÷3 1/2)

2 3/4 is same as 11/44

1/2 is same as 7/2

so to divide fraction you have to flip the second number and multiply

so 1 times 4/11=4/11

and 1 times 2/7=2/7

4/11 +2/7=28/77+22/77=50/77

Answer:

the answer is C

Answer:

Coordinates are numbers which determine the position of a point or a shape in a particular space (a map or a graph).

In primary school children are taught Cartesian coordinates, which they are introduced to in Year 4. Points are marked by how far along they are on the x axis (the horizontal axis) and how far up they are on the y axis (the vertical axis).

Step-by-step explanation:

Using division, we know that the number of cars needed by 3,376 tourists is 422.

So, the total number of groups of tourists = 3376

To find the number of cars needed. Hence,

Therefore, using division we know that the number of cars needed by 3,376 tourists is 422.

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Step-by-step explanation:

come on, now, this is one of the (if not THE) most important formula you need to remember for the rest of your life :

a² + b² = c²

with c being the Hypotenuse (the side opposite of the 90° angle), a and b are the legs.

so, in our case, we have then

x² = 5² + 12² = 25 + 144 = 169

x = sqrt(169) = 13

Answer:

what do you want to do with this

Step-by-step explanation:

Events A and B are considered independent if and only if the probability of their intersection (P(A ∩ B)) is equal to the product of their individual probabilities (P(A) * P(B)).

Independence: Two events A and B are independent if the occurrence or non-occurrence of one event does not affect the probability of the other event.

Joint Probability: The joint probability P(A ∩ B) represents the probability of both events A and B occurring together.

Multiplication Rule: According to the multiplication rule for independent events, if events A and B are independent, the probability of their intersection is equal to the product of their individual probabilities.

P(A ∩ B) = P(A) * P(B)

Interpretation: If the equation holds true, events A and B are considered independent since the probability of their intersection can be determined solely by multiplying their individual probabilities.

Dependence: If the equation does not hold true, it implies that the occurrence of one event affects the probability of the other event, indicating dependence between the two events.

In summary, the multiplication rule for independent events states that events A and B are independent if and only if P(A ∩ B) = P(A) * P(B).

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Answer:

-In my opinion- I tried hope you like this!

Step-by-step explanation:

I would feel Average because, I already lived in the country. I could go visit the city when I grow up anytime. I can also find new things I never knew about in the farm that wasn't in the country.  in addition, I would also go discover how farmers do it like for example how they take care of their crops and their animals like all the basics. Living in the city isn't a need it's a choice if my parents would decide to live in the Farm I would be happy with their choice. My feelings towards this choice would be Happy and curious because you never know what would happen in the farm you might like it , if I don't then I would talk with my parents about what I dislike, I'm pretty sure they would understand.

Answer:

30

Step-by-step explanation:

( 2k - 2 )°, 90° and ( k + 2 )° are linear pair angles.

Sum of linear pair angle is supplementary ( that is 180 ),

2k - 2 + 90 + k + 2 = 180

2k + k + 90 = 180

3k = 180 - 90

3k = 90

k = 90/3

k = 30

Note : -

□ means 90°

Answer:

x/3+8 = 10 // - 10

x/3-10+8 = 0

1/3*x-2 = 0 // + 2

1/3*x = 2 // : 1/3

x = 2/1/3

x = 6

x = 6

Step-by-step explanation:

hope that helps>3

Answer:

C budddyyyyyy

Gieco saves you 15% on car insurance

lol sorry i just had to

The following are the solution to each equation;

5(d + 2) = 3(d - 6)

open parenthesis

5d + 10 = 3d - 18

5d - 3d = -18 - 10

2d = -28

divide both sides by 2

d = -28/2

d = -14

Solution is less than 0

-6m = 2(3m - 1)

-6m = 6m - 2

combine like terms

-6m - 6m = -2

-12m = -2

divide both sides by -12

m = -2/-12

m = 1/6

Solution is greater than 0

⅔(3y + 6) = 0

option parenthesis

6/3y + 12/3 = 0

2y + 4 = 0

2y = -4

y = -4/2

y = -2

Solution is less than 0

-4 = ½p - 7

-4 + 7 = ½p

3 = ½p

divide both sides by ½

p = 3 ÷ ½

multiply by the reciprocal of ½

p = 3 × 2/1

p = 6

Solution is greater than 0

15 - (4z + 3) = 12

15 - 4z - 3 = 12

12 - 4z = 12

-4z = 12 - 12

-4z = 0

Solution is less than 0

0.4(3.2x + 2) = 2x + 1.8

1.28x + 0.8 = 2x + 1.8

1.2x - 2x = 1.8 - 0.8

- 0.8x = 1

x = 1/-0.8

x = -1.25

Solution is less than 0

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The Maclaurin series of f(x) = ln(1 - 3x) is -3x - (9x^2)/2 - (27x^3)/3 - ..., and its interval of convergence is -1/2 < x < 3/2.

To find the Maclaurin series for f(x) = ln(1 - 3x), we can use the Taylor series expansion of the natural logarithm function centered at x = 0. The Taylor series expansion for ln(1 - x) is given by:

n(1 - x) = -x - (x^2)/2 - (x^3)/3 - ...

In our case, we have f(x) = ln(1 - 3x), so we substitute -3x for x in the series expansion:

ln(1 - 3x) = -3x - (9x^2)/2 - (27x^3)/3 - ...

Therefore, the Maclaurin series for f(x) is:

f(x) = -3x - (9x^2)/2 - (27x^3)/3 - ...

To find the interval of convergence, we need to determine the values of x for which the series converges. The interval of convergence can be found using the ratio test. Applying the ratio test to our series, we take the limit of the absolute value of the ratio of consecutive terms:

lim(n→∞) |(a_{n+1}) / (a_n)| = lim(n→∞) |(-27x^(n+1)) / (3 * (-9x^n)/2)|

Simplifying the expression, we get:

lim(n→∞) |(-27x^(n+1)) / (3 * (-9x^n)/2)| = lim(n→∞) |2x / 3|

For the series to converge, we require |2x / 3| < 1, which gives us the interval of convergence:

-1/2 < x < 3/2.

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We have a cube that has a side length of a = 1 cm.

We can calculate the volume of the cube as:

Answer: the volume of a cube with side length of 1 cm is 1 cm³.

Memoization is a technique used in programming to store the results of expensive function calls and return the cached result when the same inputs occur again. This approach can significantly improve the performance of recursive functions, such as the Legendre polynomials.

To define a recursive function L using memoization, we can create a dictionary or map that stores the previously calculated values of L(n, x). We can then check if the requested value of L(n, x) is already in the dictionary and return it if it is. If not, we can calculate the value using the recursive definition and store it in the dictionary for future use.

Here is an implementation of the memoized L function in Python:

```
memo = {}
def L(n, x):
   if n == 0:
       return 1
   elif n == 1:
       return x
   elif (n, x) in memo:
       return memo[(n, x)]
   else:
       result = ((2*n - 1)*L(n-1, x) - (n - 1)*L(n-2, x))/n
       memo[(n, x)] = result
       return result
```

In this implementation, we first check if n is 0 or 1 and return the appropriate base case values. If the requested value is already in the memoization cache, we return it directly. Otherwise, we calculate the value recursively using the provided formula and store it in the cache before returning it.

Using memoization, we can avoid recalculating the same values of L(n, x) multiple times and greatly speed up our computation.

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