Linda has had three music lessons this month. They have been on May 3, May 10, and May 17. What date do you think she will have her next music lesson?

Answer: Non proportional

Step-by-step explanation:

To know if the values given are proportional or not, we will use the formula:

y = kx

where

y = number of organisms

x = number of minutes

k = constant of proportionality

After 5 minutes, a bacteria colony has 1.3 million organisms. Using the formula, y = kx

1,300,000 = 5k

k = 1,300,000 / 5

k = 260,000

After 12 minutes, the same colony has 41.5 million organisms. Using y= kx

41,500,000 = 12x

x = 41500000 / 12

x = 3458333.8

After 15 minutes, the colony has grown to 101.3 million organisms.

y = kx

101,300,000 = 15k

k = 101,300,000 / 15

k = 6753333.8

It is a non-proportional relationship as the constant of proportionality is different for each.

A recurrence relation for the number of ternary strings of length n that do not contain two consecutive 0s : T(n) = 2T(n-1) + T(n-2) and the initial conditions are : T(1) = 3 and T(2) = 9 .

Let T(n) be the number of ternary strings of length n that do not contain two consecutive 0s.

Consider a ternary string of length n. The last digit can be either 0, 1, or 2. If the last digit is 1 or 2, then we can append either 0, 1, or 2 to any string of length n-1 that does not end in 0 to get a string of length n that does not contain two consecutive 0s. Therefore, the number of such strings of length n is 2T(n-1).

If the last digit is 0, then the second-to-last digit must be 1 or 2, and the rest of the string of length n-2 can be any string of length n-2 that does not end in 0. Therefore, the number of such strings of length n is T(n-2).

Putting these cases together, we get the recurrence relation:

T(n) = 2T(n-1) + T(n-2)

with initial conditions:

T(1) = 3 (0, 1, or 2)

T(2) = 9 (00 is not allowed, but each of the other two digits can be followed by any of the three digits)

Therefore, the number of ternary strings of length n that do not contain two consecutive 0s can be calculated using the recurrence relation T(n) = 2T(n-1) + T(n-2), with initial conditions T(1) = 3 and T(2) = 9.

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Answer:

total points on the 4 tests- 94x4= 376

376- 85= 291

291/3= D. 97

Answer:

D. 97

Step-by-step explanation:

x = sum of 4 test grades Jared received

\(\frac{x}{4} = 94\)

x = 376

If he drops lowest test grade of 85, then subtract 85 from Jared's sum of all test grades:

x - 85 --> 376 - 85

= 291

Now that one of his test grades are not considered, this means there are only 3 test grades to consider.

291 must be divided by 3 to get the average:

\(\frac{291}{3}\) = 97

The answer is D) 97

An sample mean can be thought to be the worth from populace having a typical dissemination when both or both of these circumstances is met:

1) The populace from which the example is being taken is Regularly circulated. So for this situation, if the number of inhabitants in grade-point midpoints is regularly circulated, the example mean would be treated as a worth from a populace having a typical dissemination

2) The example size is more prominent than 30. On the off chance that we don't know about the populace, yet the example size is more prominent than 30, the example mean can be considered as a worth from a populace having a typical conveyance.

Answer: B

Step-by-step explanation:

Explanation:

On the die, the divisors or factors of 20 are: 1, 2, 4, 5

We have 4 faces we want out of 6 faces total

So 4/6 = 2/3 is the probability of getting a divisor of 20.

Answer:

slope is 3, y-intercept is -1

Step-by-step explanation:

please give brainliest!

Answer:

slope=3      y-int. = -1

Step-by-step explanation:

y-intercept is point on y axis and slope is rise over run

Answer:

negative addition

Step-by-step explanation:

that has a negaitive number being added to it

Answer:

the cannon ball's maximum height is 21 meters rounded to the nearest whole number

Step-by-step explanation:

The maximum height of the cannonball will be 21.06 meters when the time t = 0.9375 seconds.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

A cannonball has been catapulted through the air and follows the path created by the function given below.

f(t) = -16t² + 30t + 7

where f(t) is the height of the cannonball in meters at any given time (t) in seconds.

Then the height of the cannonball will be given by the differentiation. Then we have

\(\rm \dfrac{d}{dx} f(t) = -16t^2 + 30 t + 7 \\\\\\\dfrac{d}{dx} f(t) = -32t + 30\)

Then again differentiate to check whether the value is maximum or minimum.

\(\rm \dfrac{d^2}{dx^2} f(t) = -32t + 30\\\\\\\dfrac{d^2}{dx^2} f(t) = -32\\\\\\\dfrac{d^2}{dx^2} f(t) < 0\)

Then the value of the height will be maximum for f'(t) = 0.

         f'(t) = 0

-32t + 30 = 0

             t = 30/32

             t = 0.9375

Then the maximum height will be

f(t) = -16(0.9375)² + 30(0.9375) + 7

f(t) = -14.0625 + 28.125 + 7

f(t) = 21.0625

f(t) = 21.06 meters

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Answer:

your answer should be c

Step-by-step explanation:

5 star?

If you vertically compress the absolute value parent function, f(x) = 1x1, by a factor of 3 then the equation of the new function is g(x) = (1/3)|x|

A relation is a function if it has only One y-value for each x-value.

The absolute value function, f(x) = |x|, has a "V" shape with the vertex at (0, 0).

f(x) can also be called as parent function.

A parent function is the simplest function that still satisfies the definition of a certain type of function

When we vertically compress the graph by a factor of 3, we are multiplying the y-value by 1/3.

So the new function g(x) can be expressed as:

g(x) = (1/3) f(x)

g(x) = (1/3)|x|

Hence, if you vertically compress the absolute value parent function, f(x) = 1x1, by a factor of 3 then the equation of the new function is g(x) = (1/3)|x|

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(a) If \($A$\) is a subset of B and B is a subset of C, then A is a subset of C.

(b) \(A\cup B\setminus A = B\setminus A$.\)

(c) \(A\cup\bigcup_{i=1}^n a_i = \bigcup_{i=1}^n a_i$, but equality may fail for $n=\infty$.\)

(a) If \(A\subseteq B$, then $C\cap A\subseteq C\cap B$.\)

Therefore, if \(A\subseteq B$, then $C\cap B\subseteq C\cap A$\) implies that\($C\cap A=C\cap B$.\)

Hence, if \(A\subseteq B$, then $C\cap A\subseteq C\cap B$\) and \(C\cap B\subseteq C\cap A$,\) which together imply that\($C\cap A=C\cap B$. So if $A\subseteq B$,\) then\($C\cap A=C\cap B$\)  implies that \(C\subseteq B$.\)

(b) We have \(A\cup B=A\cup (B\setminus A)$,\) so \($A\cup B\setminus A=(A\cup B)\setminus A=B$\) by the set-theoretic identity \(A\cup (B\setminus A)=(A\cup B)\setminus A$.\)

Therefore, \(A\cup B\setminus A=B$.\)

(c) Let \(X={1,2,3}$, $A={1}$, $a_1={1}$, $a_2={2}$, $a_3={3}$,\) and \(a_4={2,3}$.\)

Then\($A\subseteq\bigcup_{i=1}^4 a_i$ and $\bigcup_{i=1}^3 a_i\not\subseteq\bigcup_{i=1}^4 a_i$.\)

Therefore,\($A\cup\bigcup_{i=1}^3 a_i=\bigcup_{i=1}^4 a_i$\) and \(A\cup\bigcup_{i=1}^4 a_i\neq\bigcup_{i=1}^4 a_i.\)

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(a)If ACB, then CB  is a subset of C.

(b) AUB-AU is not a subset of AUB.

(c) UAa3υλα equality fails in this case.

(a) If ACB, then CB:
Let x be an element of C. If x is in A, then it is also in B (since ACB), and therefore in C (since B is a subset of C). If x is not in A, then it is still in C (since C is a superset of B), and therefore in B (since ACB). In either case, x is in CB, so CB is a subset of C.

(b) AUB-AU:
Let x be an element of AUB. If x is in A, then it is not in AU (since it is already in A), and therefore it is in AUB-AU. If x is not in A, then it must be in B (since it is in AUB), and therefore it is not in AU (since it is not in A), and therefore it is in AUB-AU. Thus, every element of AUB is also in AUB-AU, and therefore AUB-AU is a subset of AUB. On the other hand, if x is in AU but not in AUB, then it must be in U (since it is not in A or B), which contradicts the assumption that A and B are subsets of X. Therefore, AUB-AU is not a subset of AUB.

(c) UAa3υλα; give an example where equality fails:
Let X = {1,2,3}, A = {1}, B = {2}, and Αα = {1,3}. Then UAa3υλα = {1,2,3} = X, but AUB = {1,2} and AU = {1}, so AUB-AU = {2} is not equal to X. Therefore, equality fails in this case.
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Answer:

2.05m

Step-by-step explanation:

Answer:

*itccyohchcuvojvibbib

there u go :)

Answer:

Step-by-step explanation:

Momentum = mass x velocity

Elephant Momentum = 6300 x 0.11

                                    = 693 kg m/s

Dolphin momentum = 66 x 10.5

                                 = 693 kg m/s

The momentum of the dolphin and the elephant are the same.

Answer:

50/100 x X = 1.5

x 100       x100

50x = 150

÷50   ÷50

X = 3

X = 3 liters I am pretty sure

It looks like we're given

\(\displaystyle \lim_{x\to c} f(x) = -4\)

\(\displaystyle \lim_{x\to c} g(x) = \frac15\)

Since the limit of f(x) is finite and non-zero, we have by the quotient rule for limits

\(\displaystyle \lim_{x\to c}\frac{g(x)}{f(x)} = \frac{\displaystyle \lim_{x\to c}g(x)}{\displaystyle \lim_{x\to c} f(x)} = \frac{-4}{\frac15} = \boxed{-20}\)

Answer:

D. -1/20

Step-by-step explanation:

Took the quiz and this was the correct answer

You've got this, you're going to get a great grade on this test.

Answer:

B.

Step-by-step explanation:

Table B has x values that go to multiple y values. A function has inputs that only go to one output.

Answer:

Step-by-step explanation:

Given function

Parent function is

The given is

Each point of y is 3 times closer to y-axis, therefore this is a vertical stretch.

Correct option is A only

Answer:

Option A

Step-by-step explanation:

We know the rule for vertical stretch

Where k>1

Here

So it's vertical stretch

Answer:

x = $80 rate of change

y = total amount the store earns

m = the amount of hours store is open

b = $150 starting point when x is 0

Step-by-step explanation:

y=8x-150

Answer:

Lines stay parallel or overlap

Step-by-step explanation:

AB and CD are parallel lines

Rotation around a point 90 degrees clockwise will make these lines perpendicular to their initial position but AB and CD will still be parallel to each other

They will overlap if the distance between them and point E is equal

Their initial slope is same and equal to m

Their final slope will be -1/m as a result of 90 degrees rotation

Answer:

Step-by-step explanation:

I guess you want to draw the graph.

The graph is a straight line

-6x - 20 = 4y

When x = 0:

-6(0) - 20 = 4y

y = -20/4 = -5

So, one point on the graph

= (0, -5)

When y = -2:

Plugging y = -2 into the equation:

-6x - 20 = 4(-2)

-6x = -8 + 20 = -12

x = -2

So, another point is (-2, -2)

Mark these 2 points on the graph paper

and draw a line passing through them.

Answer:

110 + 10x ; 40x

4

Step-by-step explanation:

Given that:

For every visit to Arts museum:

Scenario 1:

Parking fee = $15

Admission fee = $25

Total amount for scenario 1:

If number of visits = x

Total cost = $(15 + 25) × number of visits

Total cost : $40x

With membership :

Price of membership = $110 (one time payment)

Parking fee = $10

Admission fee = $0

Let number of visits = x

Total cost :

Membership fee + (parking fee × number of visits)

$110 + ($10 * x)

= 110 + 10x

B) number of visits for which member cost is less than non-member cost :

Member cost = 110 + 10x

Non member cost = 40x

110 + 10x < 40x

10x - 40x < 110

-30x < 110

x > 3.67

Hence x = 4

Number of visits for which member cost is greater than non member cost is 4

Answer:

40%

Step-by-step explanation:

240/600 = 0.40 * 100% = 40%

We know that the store discounts 30% of the original price for an item, then, to calculate the discount we just have to multiply the original sell price by the discount percent and divide it by 100, like this:

Then, the discount is $109.5.

The new total would be the difference between the original price of the item and the discount, like this:

New price= $365-$109.5=$255.5

The probability to answer 5 questions correctly from 14 true or false questions is 0.1222

The given situation represents a binomial experiment, where there are only two possible outcomes for each trial: success (answering correctly) and failure (answering incorrectly). To find the probability of a particular number of successes, we use the binomial probability formula:

P(x)= nCx × p^x × q^(n-x)

Where, n is the total number of trials, p is the probability of success on each trial, q is the probability of failure on each trial (1-p), and x is the number of successes desired.

n = 14 (total number of questions)

p = 1/2 (probability of answering correctly when guessing randomly), and q = 1/2 (probability of answering incorrectly when guessing randomly).

To find P(5), we substitute these values in the formula

P(5) = 14C5 * (1/2)^5 * (1/2)^9= 2002 * (1/32) * (1/512)= 2002 / 16384≈ 0.1222

Therefore, the answer is option D, 0.1222.

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Answer: 10 Units squared

Step-by-step explanation: first 5*4=20 (b*h)

then 20/2=10

The two positive numbers satisfying the given requirements are 15.56 and 15.56

For given question,

Let x and y be  two positive numbers satisfying the given requirements.

⇒ xy = 242             .............(1)

The sum of given two positive numbers is a minimum.

Let the sum of given two positive numbers is S.

⇒ x + y = S             ............(2)

From equation(1),

⇒ y = 242/x

Substitute above value of y in equation (2),

⇒ x + y = S  

⇒ S = x + (242 / x)    

Now, for above equation we find the derivative of x with respect to x.

⇒ 0 = 1 - \(\frac{242}{x^{2} }\)

⇒ 242/x² = 1

⇒ x² = 242

⇒ x = ±15.56

Since the numbers are positive, x = 15.56

For x = 15.56

⇒ y = 15.56

Therefore, the two positive numbers satisfying the given requirements are 15.56 and 15.56

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One of the biggest ethical issues many marketers face today relates to consumer privacy and data protection.

In today's digital age, marketers have access to vast amounts of consumer data, including personal information and online behavior. The ethical issue arises when marketers collect, use, and share this data without adequate transparency, consent, or protection of consumer privacy. It raises concerns about invasion of privacy, unauthorized data sharing, and potential misuse of personal information for targeted advertising or other purposes.

Marketers are increasingly under scrutiny to ensure ethical practices in data collection, storage, and usage, balancing the need for effective marketing strategies with respect for individual privacy rights. Failure to address these ethical concerns can lead to loss of trust, reputational damage, and legal consequences for companies. Therefore, marketers must navigate these ethical challenges by adopting transparent and responsible data practices, respecting consumer choices, and implementing robust privacy and security measures.

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The amount of shirts and pants the clothier makes is an illustration of a linear equation

The equation that represents the number of shirts, and the number of pants is 4s + 6p = 40

The rates are given as:

Shirts = 4 hours

Pants = 6 hours

In time t, the shirts and pants made is represented with:

t = 4s + 6p

Given that the time is 40 hours, the equation becomes

4s + 6p = 40

Hence, the equation that represents the number of shirts, and the number of pants is 4s + 6p = 40

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Answer:

1

Step-by-step explanation:

|x| means the absolute value, which is 4 and -4

Answer:

A

Step-by-step explanation:

So we have the equation:

\(|x|=4\)

Solve for x. Use the definition of absolute value:

\(|x|=4\)

This means that:

\(x=4\text{ or } x=-4\)

And... we're done :)

The answer is A.