4. f(x) = 1/2x - x?
f(8) =
a. 64
b. -68
C. 68
d. -60

Answer:

8cm

Step-by-step explanation:

AB = CD

5x+7 = 7x-9

2x = 16

Answer:

5 1/4 or 5.25

Step-by-step explanation:

7/2×3/2=21/4

21/4=5 1/4

hope this helps

Answer:

\(18.3 \times 4.25 = 77.775\)

Answer:

42 degrees

Step-by-step explanation:

Since m and n are parallel, that is a transversal

So 24=(x-18) because of exterior angle property

so x - 18 = 24

We bring - 18 to the other side so it becomes + 18

x = 24 + 18

x = 42

The average probability of earning $2 for any given roll of the dice is 8/9, or approximately 0.889.

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

There are a total of 36 possible combinations when rolling two six-sided dice (6 possible outcomes for the first die and 6 possible outcomes for the second die).

The number of combinations that will result in a win (earning $2) are 32: (1,1), (1,2), (1,3), ..., (6,5), and (6,6).

The number of combinations that will result in a loss (losing $4) are 4: (2,2), (4,4), and (10,10).

The probability of earning $2 is the number of favorable outcomes (earning $2) divided by the total number of possible outcomes:

P(earning $2) = 32/36 = 8/9

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The lines given by hx,y,zi = ht + 4, 4t + 5, t − 2i and hx,y,zi = h2s + 3, s + 1, 2s − 3i do not intersect.

We can determine whether two lines intersect by setting their equations equal to each other and solving for the values of x, y, and z. Setting the given equations equal to each other, we have:

ht + 4 = h2s + 3

4t + 5 = s + 1

t − 2 = 2s − 3

From the second equation, we have s = 4t - 4. Substituting this into the third equation, we get t = 3. Then, using t = 3 in the first equation, we get h = -1/3. Substituting these values into the second equation, we get s = 8. However, using these values in the first equation leads to a contradiction: -1/3 ≠ 19/3. Therefore, the lines do not intersect.

Therefore, the lines given by hx,y,zi = ht + 4, 4t + 5, t − 2i and hx,y,zi = h2s + 3, s + 1, 2s − 3i do not intersect.

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Answer:

y=-2/1 -5

Step-by-step explanation:

The y-intercept is -5 because the blue line goes through the y-axis at -5 and the slope is -2/1 because you take two points where the blue line goes through and perform the rise over run method to get the slope.

When you have 80 fluid ounces of lemonade and you need to put them into containers that hold 1 pint, the number of containers will be 5.

Note that the conversion ounce to pint is to divide the value by 16.

Therefore, 80 fluid ounces to pint will be:

= 80/16

= 5

Therefore, the value is 5 pints.

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Answer:

the answer is 13 packages of 12

The tennis ball has traveled a horizontal distance of 3.717 m, to the nearest tenth of a metre, when it lands on the ground. Hence, the correct option is (A) 3.7.

The given function is h(d) = -0.12d² +0.22d+1.1.

It models the path of a tennis ball hit from a height of 1.1 m above the ground.

Here, d represents the horizontal distance in meters, and h(d) represents the height in meters.

To find how far the tennis ball travelled horizontally when it lands on the ground, we need to find the value of d when h(d) = 0, because the ball will hit the ground when its height is zero.

Substituting h(d) = 0 in the given function, we get:

0 = -0.12d² +0.22d+1.1

Simplifying, we get: 0.12d² - 0.22d - 1.1 = 0

We can solve this quadratic equation using the quadratic formula, which is given by:

-b ± sqrt(b² - 4ac) / 2a, where a, b, and c are the coefficients of the quadratic equation.

Here, a = 0.12, b = -0.22, and c = -1.1.

Substituting the values, we get:

d = [0.22 ± sqrt(0.22² - 4(0.12)(-1.1))] / 2(0.12)

Simplifying,

We get:

d = [0.22 ± sqrt(0.5964 + 0.528)] / 0.24d

= [0.22 ± sqrt(1.1244)] / 0.24d

= [0.22 ± 1.0604] / 0.24

We get two values of d as follows:d = 3.717 m, -1.598 m

Since the ball cannot travel a negative distance, the only possible solution is d = 3.717 m.

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Using Binary addition with 2's complement, the following answers are found for the given expressions:
a) 47 - 83 = 11011101 (2's complement) = -60
b) -16 - 131 =  10010011 (2's complement) = -146

a. To solve 47 - 83 using binary addition with 2's complement, we first convert the numbers to their binary representation:

47 = 00101111

83 = 01010011

Now, let's perform the subtraction using binary addition with 2's complement:

00101111 (47)

01010011 (83, 2's complement)

11011100 (2's complement of 83)
11011101 (2's complement result)

The result in binary is 11011101. To convert it back to decimal, we take the 2's complement and add 1:

= 11011101 (2's complement)

= -1

= 11011100

The decimal equivalent of the binary result is -60. Therefore, 47 - 83 = -60.

b)  To solve -16 - 131 using binary addition with 2's complement, we need to convert the numbers to their binary representation:

-16 = 11110000

-131 = 10000011

Since we are subtracting, we need to find the 2's complement of the second number (131).

2's complement of 131:

Step 1: Invert the bits: 10000011 -> 01111100

Step 2: Add 1 to the inverted bits: 01111100 + 1 = 01111101

Now, let's perform the subtraction using binary addition:

11110000 (-16)

01111101 (2's complement of 131)

1 01101101 (Overflow bit)

The result in binary is 101101101, but since we are using 8-bit representation, we consider the result modulo 2^8. Therefore, the final result is 01101101, which is equal to 109 in decimal.

However, since we were subtracting, the result should be negative. To obtain the negative value, we consider the overflow bit (leftmost bit) and perform the 2's complement on the result.

2's complement of 01101101:

Step 1: Invert the bits: 01101101 -> 10010010

Step 2: Add 1 to the inverted bits: 10010010 + 1 = 10010011

Therefore, -16 - 131 = -146.


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option C is the correct answer. sin β = 15 / 17

Given data

Right angled triangle has sides

opposite = 15

adjacent = 8

Hypotenuse = 17

sin β = opposite / hypotenuse

substituting the values gives

sin β = 15 / 17

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The estimated probability is 0.0294

To estimate the probability of getting between 45 and 50 correct answers on the multiple-choice test, we can use the binomial probability formula and a calculator.

The binomial probability formula is given by P(X = k) = (nCk) * p^k * q^(n-k), where n is the number of trials, k is the number of successes, p is the probability of success on a single trial.

q is the probability of failure (1 - p), and nCk represents the number of combinations.

In this case, n = 160 (number of questions), p = 0.25 (probability of guessing a correct answer), and we want to find P(45 ≤ X ≤ 50), which means the probability of getting between 45 and 50 correct answers.

Using a calculator such as TI-83, TI-83 Plus, or TI-84, we can calculate the individual probabilities for each value of X (45, 46, 47, 48, 49, 50) using the binomial probability formula.

Then, we sum up these probabilities to find the total probability of getting between 45 and 50 correct answers.

By performing the calculations, we find that the estimated probability is 0.0294, rounded to four decimal places.

This means that with random guessing, there is approximately a 2.94% chance of getting between 45 and 50 correct answers on the multiple-choice test.

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Answer:

Step-by-step explanation:

Circumference = 314

2*pi*r = 314

2*r = 314 / 3.14

2*r = 100

r = 50

Area = pi * r^2

Area = 3.14 * 50^2

Area = 3.14 * 2500

Area = 7850

===========

C = 2*pi * r

C = 2 * 3.14 * 10

C = 6.28 * 10

C = 62.80 cm

==========

C = 2*3.14*10.2

C = 64.056

==========

Area = pi * r^2

314 = 3.14 * r^2

314 / 3.14 = r^2

100 = r^2

sqrt(100) = sqrt(r^2)

r = 10

C = 2*pi *r

C = 2*3.14 * 10

C = 6.28 * 10

C = 62.8

Considering the situation described, it is found that:

a) The numeric values of the piecewise function are as follows:

b) The new piece-wise function is:

c) The new piece-wise function is:

A piecewise-defined function is a function that has different definitions, depending on the input of the function.

In this problem, the rule is one for times up to 40 hours, and another for times greater than 40 hours, hence the numeric values are given as follows:

For item b, the new reference is of 38 hours, hence the function is:

For item c, the new hourly wage is of 12 hours, hence the rule is:

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Answer:

c) Oa^2 = c^2-b^2

Step-by-step explanation:

the formula of finding hypotenuse (c) is

c^2 = a^2 + b^2

that means c^2 - b^2 = a^2

a^2 = c^2 - b^2.

.25

Step-by-step explanation:

probability can be difficult to answer because of the overlap with possibility and chances etc etc... lower level classes will typically take the answer .25 while higher-level classes may prefer the answer .5

Therefore, the probability of observing tails on the first flip and heads on the second flip is 0.25 or 1/4.

When flipping a fair coin twice, the outcome of each flip is independent of the other. The probability of observing tails on the first flip is 1/2 (0.5), and the probability of observing heads on the second flip is also 1/2 (0.5).

To find the probability of both events occurring, we multiply the probabilities together:

P(tails on first flip and heads on second flip) = P(tails on first flip) * P(heads on second flip) = 0.5 * 0.5 = 0.25.

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The ratio of the number of unshaded to shaded squares is 7 : 3.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

It is also defined as the fraction of one quantity with respect to other.

The ratio of a and b is denoted as a : b.

Given is a grid of squares which is given below.

Total number of squares = 10

Of that,

Number of shaded squares = 3

Number of unshaded squares = 7

We have to find the ratio of unshaded to shaded squares in the grid which is 7 / 3 or 7 : 3.

Ratio of unshaded squares to shaded squares = 7 : 3

Hence 7 : 3 is the ratio of unshaded to shaded.

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Answer:

Step-by-step explanation:

1.  Two people, A and B, are on each end of a 50 foot rope and wish to communicate only with the rope.  They may do so by moving the rope up and down, using the height of the movement to transmit in Morse code.  For A to move B's side of the rope, A must add energy to the rope by moving it up and down on their end.  That energy is transmitted by virtue of the rope movement (up and down) as it moves from A to B.  When that energy reaches B's end of the rope, B can sense the energy by the rope's movement.  But the rope has not changed - it is still the same rope.  The molecules in the rope simply carried the energy in the form of waves along the rope.

2.  Wavelength:  Listening to music illustrates how the wavelength of a sound wave is used to convey meaning in what we call a melody.  

Velocity:  Light travels faster than sound.  Watching a fireworks display, one can easily predict when to cover their ears if a particularly loud firework explodes in the sky.  One can see the explosion well before the sound arrives.

3.  Amplitude:  Amplitude, or the intensity of sound, is evidence by how loud something is.  Hearing a person speak from across the gym is difficult if that person is far away.  But the same voice is easily heard as one approaches, even though it is the same voice.  The amplitude is the height of the sound wave - it carries more energy than a sound wave of the same frequency with a lower amplitude.  Sound energy dissipates the further it travels.

Answer:

The number is -36 or x = -36

Step-by-step explanation:

2x + 16 = -56
       2x = -72
         x = -36

None of these statements must be true

=========================================

Explanation:

Let's go through the answer choices one at a time.

----------------

A)

Consider the set {4,5,6}. It has a mean of (4+5+6)/3 = 15/3 = 5. We add up the values and then divide by the number of values (3 in this case).

Now consider the set {3,5,7}. I've added 1 to the largest element and subtracted 1 from the smallest. This will spread the data set out further. The mean is still 5 because (3+5+7)/3 = 15/3 = 5. The center hasn't changed. But the data is more spread out so the variance is larger for this new set.

Therefore, the sets {4,5,6} and {3,5,7} do NOT have the same variance. We cross choice A off the list.

----------------

B)

Recall that

\(\text{standard deviation} = \sqrt{\text{variance}\)

For example, if the variance is 36 then the standard deviation would be \(\sqrt{36} = 6\)

Because of the connection of the standard deviation and variance, both measure how spread out a set is. Furthermore, it means the sets {4,5,6} and {3,5,7} do NOT have the same standard deviation. We can cross choice B off the list.

----------------

C)

This statement is clearly not true because the sets {4,5,6} and {3,5,7} are not the same, but they produce the same mean. We can cross choice C off the list.

Choice D is the only thing left so it must be the final answer.

Answer:

The angles are supplementary.

x = 31

Step-by-step explanation:

The way the two angles lay together and make a straight line shows that they are supplementary. Supplementary means that they add up to 180°

Use this idea to write an equation.

2x + 3x + 25 = 180

combine like terms

5x + 25 = 180

subtract 25

5x = 155

divide by 5

x = 31

Answer:

x = 31

Step-by-step explanation:

(3x + 25) and 2x are a linear pair and are supplementary, that is

3x + 25 + 2x = 180

5x + 25 = 180 ( subtract 25 from both sides )

5x = 155 ( divide both sides by 5 )

x = 31

Activity 1:For the Activity 1 of Editorial Page, it is required that you write your own editorial page about your thoughts. Editorial page is a section of the newspaper which features editorials or opinion articles from the newspaper’s editorial board and other columnists.

What is an editorial? Editorial is a newspaper article which is an expression of the author's opinion or point of view on a particular topic. Editorial articles are usually printed on the newspaper's editorial page that are meant to express the newspaper's own opinion in a matter of public interest or policy. An editorial may also express an opinion on a public issue or set of issues, or on an individual or organization activity. Exercise 1:I personally believe that expressing our thoughts about any matter is very important.

If one is vocal about what he thinks, it is easier to understand the situation from a different perspective. Therefore, I think that the editorial page should not be overlooked because it helps the readers to understand the opinion of the newspaper's editorial board about a particular matter.It is significant that people have a platform where they can present their opinions, thoughts and feedback. Editorial page is one such platform. It is a very effective way for people to express their concerns regarding the government policies and other public issues.

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Answer:

answer is d im pretty sure

Step-by-step explanation:

Answer: A.) 3.5x+95

you have a start up cost of 95

and additional 3.5 per square foot

I hope this is good enough:

Answer:

Function A: f(x) = -8^x

Function B: f(x) = 2^x

Function A has a greater horizontal asymptote. As x approaches negative infinity, Function A approaches y = 0 faster than Function B.

Answer:

Polly do you know the formula for law of Cosines?  

find it if  you don't

Step-by-step explanation:

a = sqrt( b^2 +c^2 - 2bcCos(A) )

a = sqrt( 100 + 62.41 -34.197)

a = sqrt(128.213)

a = 11.323

a = 11.3  ( to the nearest tenth )

According to the information presented in this video, all of the following activities are likely to occur in the information requirements determination​ (IRD) phase of systems analysis except beta testing.

According to the information presented in this video, all of the following activities are likely to occur in the information requirements determination (IRD) phase of systems analysis except beta testing. The IRD phase of the systems analysis process is used to determine information requirements for the system being developed. The IRD process identifies what information is needed to support business functions and operations.

The activities that are carried out during the IRD phase of the systems analysis process include: Reviews of paper-based forms and reports Interviews with system users Observation of system use Meetings with the development team Therefore, the answer is option C. Beta testing is not a part of the IRD phase of systems analysis.

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Answer:

stgfdbvfg

Step-by-step explanation:

sgsgdgdbccbctrerrgdgdg

Enumeration helps make the Bill of Rights easier to understand by providing clarity, accessibility, protection, and limitation to the rights guaranteed by the Constitution.

Enumeration, or listing specific items or rights, helps make the Bill of Rights easier to understand in several ways:

Clarity: By listing specific rights, enumeration provides clarity and precision in defining the rights protected by the Bill of Rights. This reduces ambiguity and confusion in interpreting the rights guaranteed by the Constitution.

Accessibility: The enumeration of specific rights makes them more accessible to the average person. It provides a clear and concise summary of the rights protected by the Constitution, which is easier to understand than a more general statement of principles.

Protection: Enumeration protects individual rights by making them more specific and concrete. By listing the specific rights that are protected, individuals are better able to understand and assert their rights when they are being violated.

Limitation: Enumeration limits the power of the government by specifically identifying the rights that the government is prohibited from infringing upon. This provides a clear limit on the power of the government and prevents abuses of power.

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