A submarine starts at 0 units and has groups of 3 floats and groups of 4 anchors attached.

Using these groups of floats and anchors, write as many different expressions as you can that would make the submarine's final position -5 units.

To know which function has the largest value for f(3), we need to substitute x=-3 in each function:

A. f(x)=2x-5

f(-3)=2(-3)-5=-11

B. f(x)=2-4x

f(-3)=2-4(-3)=14

C. f(-3)=6-3^(-3)

f(-3)=6-1/27

f(-3)=161/27

D. f(x)=2^(x)+10

f(-3)=2^(-3)+10

f(-3)=1/8+10=81/8

The largest value for f(-3) is 14, The answer is B f(x)=2-4x

The one-sided limits around the discontinuity shown in the graph are infinity and zero i.e. option 2.

Discontinuous functions are functions that do not have a continuous curve - there is a hole or jump in the graph.

In the shown graph of the function, the function is discontinuous at x=-3

\(\lim_{x \to \ -3} g(x)\) tends to infinity so \(\lim_{x \to \ -3} g(x)\) does not exist.

\(\lim_{x \to \ +3} g(x)=0\)

Hence, the one-sided limits around the discontinuity shown in the graph are infinity and zero i.e. option 2.

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Answer:

b

Step-by-step explanation:

Answer:

$1,489.88 (nearest cent)

Step-by-step explanation:

To calculate gross pay, multiply the number of hours worked by the pay per hour.

Warren worked 36.5 hours one week and 32 hours the week before.

Therefore, the total number of hours Warren worked was:

Multiply the total number of hours worked by Warren's rate of pay of $21.75 per hour:

Therefore, Warren's gross pay for the two weeks was $1,489.88 (nearest cent).

Answer:

$1489.875

Step-by-step explanation:

Warren's gross pay for 36.5 hours last week can be calculated as follows:

Gross pay for 36.5 hours = $21.75/hour * 36.5 hours = $793.875

Similarly, Warren's gross pay for 32 hours the week before can be calculated as follows:

Gross pay for 32 hours = $21.75/hour * 32 hours = $696

Adding the gross pay for the two weeks, we get:

Gross pay for 2 weeks = $793.875 + $696 = $1489.875

Answer:

Step-by-step explanation:

\(2(n+7)=\frac{n}{3}-4\\ \\ 2n+14=\frac{n-12}{3}\\ \\ 6n+42=n-12\\ \\ 5n+42=-12\\ \\ 5n=30\\ \\ n=6\)

The sum of two draws from a box containing 11 tickets labeled 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 is equivalent to the sum of two dice rolls, as the outcomes are not equally likely

What are dice rolls?

Dice rolls are a random event used in various games and activities. A dice typically has six sides, each side marked with a different number of , ranging from 1 to 6. To roll a dice, the player tosses it in the air, causing it to spin and land on a random side.

Dice rolls are often used in games of chance, such in role-playing games, where they are used to determine the outcome of actions or events. They are also used in probability theory, where the probability of a certain outcome can be calculated based on the number of sides on the dice and the number of times it is rolled.

The sum of two dice that are independently rolled and the sum of two draws from a box containing six tickets labeled 1, 2, 3, 4, 5, 6 are indeed equivalent. This is because there are 36 possible outcomes when rolling two dice, and each outcome is equally likely. The sum of the two dice can range from 2 (when both dice show a 1) to 12 (when both dice show a 6).

Similarly, when drawing two tickets from a box containing six tickets labeled 1, 2, 3, 4, 5, 6, there are 36 possible outcomes, with each outcome being equally likely. The sum of the two draws can range from 2 (when both draws yield a 1) to 12 (when both draws yield a 6).

However, if we use a box containing 11 tickets labeled 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, the outcomes will not be equally likely, and the sum of the two draws will not be the same as the sum of two dice rolls. For example, there is only one way to get a sum of 2 with two dice (rolling two 1s), but there are two ways to get a sum of 2 when drawing from the box (drawing a 1 and a 1 or drawing a 2 and a 0).

Therefore, we cannot say that the sum of two draws from a box containing 11 tickets labeled 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 is equivalent to the sum of two dice rolls, as the outcomes are not equally likely.

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Quick sort will be guaranteed to run in O(n log n) time when the pivot element is chosen in a way that partitions the array into approximately equal halves.

Quick sort is a sorting algorithm that uses divide-and-conquer to sort an array or list of elements. The algorithm works by partitioning the array into two subarrays, one containing all elements smaller than a chosen pivot element, and the other containing all elements larger than the pivot.

The pivot element is then placed between the two subarrays and the process is repeated recursively on each subarray until the entire array is sorted.

Quick sort is generally considered to have an average case time complexity of O(n log n), which means that the algorithm will take proportional to n log n time to sort an array of n elements on average. However, in the worst case, the time complexity of quick sort can be O(n^2), which can occur when the pivot is consistently chosen as the smallest or largest element in the array, leading to an unbalanced partitioning of the array.

To guarantee that quick sort will run in O(n log n) time, it is important to choose a good pivot element that is representative of the entire array and leads to a balanced partitioning of the elements. This can be done by using a randomized pivot selection or by choosing a median-of-three pivot selection that takes the median of the first, middle, and last elements of the array as the pivot. Additionally, choosing a good partitioning scheme that minimizes the number of comparisons and swaps required can also improve the time complexity of the algorithm.

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Answer:

x =8

The angles are

3x= 24

7x+4 =  60

13x-8 =96

Step-by-step explanation:

The sum of the angles of the triangle is 180

3x+ 7x+4  + 13x-8  =180

Combine like terms

23x -4 = 180

Add 4 to each side

23x -4+4 =180+4

23x =184

Divide by 23

23x/23 = 184/23

x =8

The angles are

3x= 3*8 =24

7x+4 = 7*8+4 = 56+4 = 60

13x-8 = 13*8-8 =104-8=96

Answer: 9 oranges: bananas

Step-by-step explanation:

The ratio is 3 oranges: 2 bananas. They add up to 5 fruits, so some possible values are 5, 10, 15, 20, 25. We need a value between 8 and 16. This means that we need 15/5 = 3 portions of fruits and since the ratio is 3:2

We multiply this by the original ratio to get 9 oranges: 6 bananas

Answer:

6:4

Step-by-step explanation:

3+2=5, but 5 is not enough so we multiply 3 and 2 to make 6 and 4. Now 6+4= 10 which is between 8 and 16 as we need. So the answer is 6:4

The value of  β from the power of test is obtained as 0.02

The chance of rejecting the null hypothesis as untrue, or the likelihood of avoiding a type II mistake, is the power of a test. The probability that a certain investigation will identify a departure from the null hypothesis if one exists is another way to conceptualize power.

In hypothesis testing, power is typically the main concern. Power is defined as the likelihood that we would reject H0 as untrue, i.e., power = 1-β. Power is the likelihood that a test would properly reject a null hypothesis that isn't true.

The specified value for the test's power is 0.98 in the problem.

Hence,

Type II error, β= 1 - Power = 1 - 0.98 = 0.02

So, the value of β is obtained as 0.02.

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\(\huge\boxed{Hello!:):):):):):):)}\)

\(\huge\sf{Parallel\:lines\:have\:the\:same\:slope.}\)

\(\huge\sf{The\:slope\:of\:line\:f\:is\:\frac{8}{9} }\)

\(\huge\sf{It's\:easy\:to\:identify\:the\:slope\:of\:line\:g,\:since\:parallel\:lines\:have\:the\:same\:slope.}\)

\(\huge\sf{The\:slope\:is\: \frac{8}{9} .\\\)

\(\huge\boxed{The\:slope\:of\:line\:g\:is \frac{8}{9} .}\)

\(\huge\bold{Good\:luck,\:hope\:it\:helps.}\)

\(\boxed{SomeoneLonely\:here\:to\:help}\)

If the length, width, and height of a right rectangular prism are halved, the surface area will be reduced by a factor of four.

The surface area of a right rectangular prism can be calculated by adding up the areas of all six of its faces.

To see why, consider that each of the original face's area was given by the product of two of the original dimensions. If each of those dimensions is halved, the area of each face is reduced to one-fourth of its original size. Because there are six faces, the total surface area is reduced by a factor of four.

In other words, if the original surface area was 2 * (44 cm * 22 cm + 44 cm * 77 cm + 22 cm * 77 cm) = 6176 square cm, the surface area of the halved rectangular prism would be 6176 square cm / 4 = 1544 square cm.

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The number -14 - 5i is located in the third quadrant on the complex plane (iii).


In the complex plane, the real numbers are represented on the horizontal axis (the real axis) and the imaginary numbers are represented on the vertical axis (the imaginary axis). The four quadrants divide the complex plane into different regions based on the signs of the real and imaginary parts of a complex number.

In this case, the number -14 - 5i has a negative real part (-14) and a negative imaginary part (-5i). Since both parts are negative, the number is located in the third quadrant.

The third quadrant is characterized by negative real numbers and negative imaginary numbers. It is below the horizontal axis and to the left of the vertical axis. Therefore, the number -14 - 5i is located in the third quadrant (iii) on the complex plane.

Visually, if you were to plot -14 - 5i on the complex plane, you would find it in the lower left region, below and to the left of the origin.

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Step-by-step explanation:

the correct answer is option a 6a-7

Answer:

876

Step-by-step explanation:

Answer:

185

Step-by-step explanation:

Found by solving the system of equations:

3x+2.5y = 867.5

x+y = 310

Answer:350

Step-by-step explanation:

Just take away 9,550 - 9,200 = 350

Answer: 48

Step-by-step explanation:

3x16=48

3 gallons=48 cups

There are 48 cups in 3 gallons.

To start your conversion, you need to know how many cups are in one gallon.

There are 2 cups in 1 pint, and 2 pints in 1 cup.

The statement is True only for independent events and False otherwise. The statement "p (A ∩ B) = p(A). p(B)" is not always true for any two events A and B defined on a sample space S of an experiment.

This equation only holds true if A and B are independent events, meaning that the occurrence of one event does not affect the probability of the other event happening. In other words, p(A|B) = p(A) and p(B|A) = p(B).

If A and B are dependent events, meaning that the occurrence of one event affects the probability of the other event happening, then the equation does not hold true. In this case, the probability of A and B occurring together (p(A ∩ B)) would be less than the product of the probabilities of A and B occurring separately (p(A).p(B)).

Therefore, the statement is not always true and depends on whether A and B are independent or dependent events.

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The measure of angle F in triangle DEF is approximately 46.93 degrees.

To find the measure of angle F in triangle DEF, we can use the Law of Cosines.The Law of Cosines states that in a triangle with sides a, b, and c, and angle C opposite side c, the following equation holds:

\(c^2 = a^2 + b^2 - 2ab * cos(C)\)

In triangle DEF, we know the lengths of sides d, e, and f:

d = 12 ft

e = 10 ft

f = 9 ft

Let's denote the measure of angle F as angle C, and the length of side f as side c.

c = f = 9 ft

a = d = 12 ft

b = e = 10 ft

Using the Law of Cosines, we can solve for angle C (m∠ F):

\(c^2 = a^2 + b^2 - 2ab * cos(C)\)

\((9 ft)^2 = (12 ft)^2 + (10 ft)^2 - 2 * 12 ft * 10 ft * cos(C)\)

81 = 144 + 100 - 240 * cos(C)

-163 = -240 * cos(C)

cos(C) = -163 / -240

cos(C) ≈ 0.6792

To find angle C, we can take the inverse cosine (cos^-1) of 0.6792:

C ≈ cos^-1(0.6792)

C ≈ 46.93 degrees

Therefore, the measure of angle F in triangle DEF is approximately 46.93 degrees.

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Answer:

42 degrees

Step-by-step explanation:

it’s the same as the other one

Answer:

35 degrees

Step-by-step explanation:

Add 42 and 103

subtract 145 from 180

35 is what you get left

35 is across from angle x (That means they are equal)

There you have your answer.

35 degrees

Answer:

130 fr

Step-by-step explanation:

Distance (d) from home plate to second base:

d² = 90² + 90² = 16200

d = \(\sqrt{16200}\) = 127.28 ≅ 127

Now add the 3 ft behind home plate:

127 + 3 = 130 ft

Answer:

hence the value of y is 2

Step-by-step explanation:

\(6(y + 3) = 30 \\ 6y + 18 = 30 \\ 6y = 30 - 18 \\ y = \frac{12}{6} \\ y = 2\)

Answer:

the answer is in the picture

Have a safe and happy new years

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first step here is to use the distributive property to make the first equation back into a polynomial.

The way we do this is by multiplying each term on the inside of the parentheses by the -2 on the outside.

-2 x x = -2x

-2 x 3 = -6

So, our new equation reads: -2x - 6

-2x - 6 = -2x + 3 - 9

Our next step is to subtract the 9 from 3.

-2x - 6 = -2x - 6

We add 6 to each side

-2x = -2x

x = x

0 = 0

The arclength from t=0 to t=pi/4 for the given vector equation of the particle, we need to first find the derivative of r(t) to get the velocity vector, find the magnitude of the velocity vector to get the speed function, and then use the formula for arclength which involves integrating the speed function over the given interval.

To find the arclength of the vector equation r(t) from t=0 to t=pi/4, we first need to find the derivative of r(t) with respect to t. This gives us the velocity vector v(t) which is the rate of change of position with respect to time. We can then find the magnitude of v(t) which represents the speed of the particle at any given time.
Once we have the speed function, we can use the formula for arclength which is the integral of the speed function over the given interval. In other words, we integrate the speed function from t=0 to t=pi/4 to find the distance traveled by the particle.
Without the given vector equation for r(t), we cannot find the speed function or the arclength. However, the general formula for arclength is:
L = ∫|v(t)| dt from t=a to t=b
Where L is the arclength, v(t) is the velocity vector, and a and b are the initial and final times. We can use this formula once we have the vector equation for r(t) and find the speed function by taking the magnitude of the velocity vector.
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The complement of set A, denoted by ​ A`, is the collection of all elements that belong to the universal set but are not part of set A. It's not necessary to mention the universe (also known as U) if it's understood which set of elements is being referred to.

The complement of a set A is the collection of all elements that belong to the universal set but not to set A. It is denoted as ​ A` and does not include any elements that are already in set A. The universal set, also known as U, contains all possible elements and is assumed to be known. Therefore, when referring to the complement of a set, it is not necessary to mention the universal set explicitly. The complement of a set is useful in determining the set of elements that are not part of a particular set, and it can be used in various mathematical operations.

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