Subtract the polynomial: x2 + 2x + 1 – (x – 3)

The conditional proportions of people using their phones in the afternoon and the evening can be summarized as follows: A significant proportion of individuals use their phones both in the afternoon and evening, indicating a consistent pattern of phone usage throughout the day.

In the afternoon, many people rely on their phones for various purposes such as work, communication, entertainment, and staying connected to social media. With the advancements in technology and increased accessibility to smartphones, it has become common for individuals to utilize their phones during this time. Whether it's checking emails, browsing the internet, or engaging in social media activities, the afternoon serves as a convenient time for phone usage.

Moving on to the evening, phone usage remains prevalent as individuals unwind and engage in leisure activities. During this time, people often use their phones for entertainment purposes, such as streaming videos, playing games, or engaging in social interactions through messaging apps or social media platforms. The evening also offers a time for catching up on news, reading, or engaging in personal hobbies, which may involve the use of mobile devices.

Overall, the conditional proportions reveal that phone usage is not limited to a specific time of day but rather extends throughout the afternoon and evening. This emphasizes the significant role that smartphones play in our daily lives, providing us with a range of functionalities and opportunities for connectivity and entertainment.

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Answer: \(x^{10}\)

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Answer:

(3,20)

Step-by-step explanation:

so O must be 0,0 and A is a midpoint of OB

This means B must be (14,12)

B is the midpoint of TS.

This means that the distance of SB is equal to the distance of BT.

This must mean that the coordinate of T must be (3,20)

O: (0,0)    x coordinate increases by 7. y coordinate increases by 6.

A: (7,6)

B: (14,12)

S: (25,4)    x coordinate decrease by 11. y coordinate increases by 8.

B: (14,12)

T: (3,20)

The coordinates of T are (3, 20).

A straight line is an endless one-dimensional figure that has no width.

From the figure, A is the midpoint of OB and B is the midpoint of TS

The coordinates of O are (0, 0) and Coordinates of A are (7,6)

We can find coordinate of B.

(7, 6)=(0+x/2, 0+y/2)

(7,6)=(x/2, y/2)

x/2=7   and    y/2=6

x=14               y=12

So the coordinates of B are (14, 12)

Now we can find the coordinates of T.

(14, 12)=(X+25/2, Y+4/2)

X+25=28

x=3

Y+4=24

Y=20

So the coordinates of T are (3, 20)

Hence, the coordinates of T are (3, 20).

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Answer:

g(x) = (x - 1)³

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Here g(x) is the graph of f(x) shifted 1 unit to the right , then

g(x) = (x - 1)³

Q6: Approximately 68.3% of the cherry tomatoes sold by Berkeley Bowl fall within the specified diameter limits of 20 mm to 32 mm.

Q7: To achieve half of the Six Sigma Quality, the standard deviation of the process should be approximately 0.22 mm for Berkeley Bowl's cherry tomatoes.

In Q6, we can use the concept of the normal distribution to determine the percentage of tomatoes within the specification limits. Since the average diameter is 26 mm and the standard deviation is 3 mm, we can assume a normal distribution and calculate the percentage of tomatoes within one standard deviation of the mean. This corresponds to approximately 68.3% of the tomatoes falling within the specified limits.

In Q7, achieving Six Sigma Quality means that the process has a very low defect rate. In this case, half of the Six Sigma Quality means reducing the variability in diameter to half the acceptable range.

The acceptable range is 32 mm - 20 mm = 12 mm. To achieve half the range, the standard deviation should be approximately half of 12 mm, which is 6 mm. Since the standard deviation is given as 3 mm, the process would need to be improved to reduce the standard deviation to approximately 0.22 mm for it to meet half of the Six Sigma Quality.

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Answer: x=68

Step-by-step explanation:

A. It’s asking what the last test must have to be (x) for all five tests to average out to an 80. This can be represent by:

(95+76+77+84+x)/5=80

The first four numbers are the existing test scores and x is the score you need. This is all divided by five so that you can find the average of all of these added together, which will equal 80, because that’s the grade you’re trying to get. Next, just solve for x:

= 95+76+77+84+x=80(5)

= 332+x=400

X=68

B. I got 74 for this one by using the same process as in part a, but I divided the left side by six and multiplied x by two: (95+76+77+84+2x)/6=80

But I’m not completely positive about this answer. A is definitely right though

Answer:

about 35 or 36(35.5555555556)

depending on if you round up or down

In math, a function will relate every input value to the output values in a manner that there will be a relationship between the x values to the y values.

In this case;

x y

0 3

2 7

4 11

To know if this is a function, find the relationship between x values and y values.

First find the slope / gradient assuming the values will result to a linear relationship {the first test]

So, slope m = change in y values / change in x values

m= 7-3/2-0 = 4/2 = 2

The gradient is 2, now lets find the equation

2= y-3 / x-0

2{x-0} = y- 3

2x= y- 3

2x + 3 = y

y= 2x + 3 ------the equation for the relationship which means;

For every value of y, you take the value of x , multiply it by 2 then add 3.

For example;

If x is 6, y will be 2*6 + 3 = 12 + 3= 15

This shows that there is a relationship between the values of x and y represented by the function;

f{x} = 2x + 3

Answer

Yes.

Answer:

The common ratio of this sequence is 1/3, so to find the next three terms we can continue multiplying by 1/3:

1/3 * 1/3 = 1/9

1/9 * 1/3 = 1/27

1/27 * 1/3 = 1/81

Therefore, the next three terms in the sequence are 1/9, 1/27, and 1/81.

1/9, 1/27, and 1/81 are the next 3 numbers in the Geometric sequence 9, 3, 1, 1/3

The given geometric sequence is 9, 3, 1, 1/3.

To find the common ratio, we divide any term by the previous term. Let's use the second and first terms:

3 ÷ 9 = 1/3

The common ratio is 1/3.

To find the next three terms, we can continue multiplying each term by the common ratio.

1/3 * (1/3) = 1/9

(1/3) * (1/9) = 1/27

(1/9) * (1/27) = 1/81

Therefore, the next three terms in the geometric sequence are 1/9, 1/27, and 1/81.

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Answer:

NO

Step-by-step explanation:

No she does not have enough money to buy 8 pounds. because for two pounds it costs 3.78 and with 15$ she can buy like six?

The correct answer is d) To avoid a large number of classes with very small frequencies.

Unequal class intervals are sometimes used in a frequency distribution to avoid a large number of classes with very small frequencies. This can occur when the data range is very large or when there is a lot of variability in the data.

For example, if we have a dataset with values ranging from 0 to 1000, using equal class intervals of size 100 would result in 10 classes. However, if the data is skewed and most of the values fall in the lower range, many of the classes may have very small frequencies. Using unequal class intervals can help group the data in a way that results in more meaningful class frequencies.

Additionally, unequal class intervals can be used to better represent the distribution of the data. For example, if there is a cluster of values around a certain range, using a smaller class interval around that range can provide more detail and information about the data distribution.

Therefore, the correct answer is d) To avoid a large number of classes with very small frequencies.

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Answer:25

Step-by-step explanation:

a power boat takes 30 minutes to travel 10 miles downstream. the return trip takes 50 minutes then the speed of the current is 4mph

distance = speed × time

In this instance, the distance going downstream and upstream is equal. All we need to do is express speed to solve:

Find the speed going upstream and downstream:

10 / 30 = 1/3 mi / min * 60 min / 1 hour  = 20 mph

10 / 50 = 1/5 mi / min * 60 min / 1 hour = 12 mph

Find the speed of the current by expressing a downstream current as + c and upstream current as -c. The speed of the boat (s), without current, would be the same.

s + c = 20

s - c = 12

We can isolate s to solve for c:

s = 20 - c

s = 12 + c

Set the two equations equal to each other:

20 - c = 12 + c

Add c to both sides:

20 = 12+ 2c

Subtract 20 from both sides:

8= 2c

Divide both sides by 2:

c = 4 mph.

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Answer: 4cos(pi/6x)+3

Step-by-step explanation:

If f(x)=2x²-5x-3 g(x)=2x²+5x+2 then (f/g)(x) = (x - 3) / (x + 2).

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

To find (f/g)(x), we need to divide f(x) by g(x) as follows:

f(x) = 2x² - 5x - 3

g(x) = 2x² + 5x + 2

f(x) / g(x) = (2x² - 5x - 3) / (2x² + 5x + 2)

To simplify this expression, we can factor the numerator and denominator:

f(x) / g(x) = [(2x + 1)(x - 3)] / [(2x + 1)(x + 2)]

Now, we can cancel out the common factor of (2x + 1) from both the numerator and denominator:

f(x) / g(x) = (x - 3) / (x + 2)

Therefore, (f/g)(x) = (x - 3) / (x + 2).

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The equation of the sine function with an amplitude of 5, period of π, phase shift of 2 units right, and vertical shift of 1 unit down is y = 5sin(2x - 2) + 1.

To write the equation of a sine function in the form y = Asin(ωx - ϕ) + B with the given characteristics, we can assign the values as follows:

Amplitude (A) = 5

Period (P) = π

Phase Shift (ϕ) = 2 units right

Vertical Shift (B) = 1 unit down

First, we determine the frequency (ω) using the formula ω = 2π/P. In this case, P = π, so ω = 2π/π = 2.

Now we have all the necessary values to write the equation:

y = 5sin(2x - ϕ) + B

Substituting the phase shift value (2 units right) into the equation, we get:

y = 5sin(2x - 2) + 1

Therefore, the equation of the sine function with the given characteristics is y = 5sin(2x - 2) + 1.

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According to the distance, Andrew and Stacy will meet 0.5 hours after Stacy starts her journey from Portsmouth, which would be at 10:30 am.

To solve this problem, we will use the concept of distance, speed, and time. The distance between Exeter and Portsmouth is given as 20 miles. Andrew starts his journey at 9:30 am and cycles at a speed of 12 mph. Stacy starts her journey at 10:00 am from Portsmouth and cycles at a speed of 16 mph.

Let's consider the distance traveled by Andrew and Stacy before they meet. Suppose they meet after a time of "t" hours, and let's assume that Andrew has traveled "d1" miles from Exeter towards Portsmouth, and Stacy has traveled "d2" miles from Portsmouth towards Exeter.

Since Andrew starts half an hour earlier than Stacy, he would have traveled for "t + 0.5" hours before they meet. Hence, the distance traveled by Andrew would be:

d1 = speed x time = 12 x (t + 0.5) miles

Similarly, Stacy would have traveled for "t" hours before they meet. Hence, the distance traveled by Stacy would be:

d2 = speed x time = 16 x t miles

Now, we know that the total distance between Exeter and Portsmouth is 20 miles. Therefore, the sum of the distances traveled by Andrew and Stacy should be equal to 20 miles when they meet.

d1 + d2 = 12(t + 0.5) + 16t = 20

Simplifying the equation, we get:

28t + 6 = 20

28t = 14

t = 0.5

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Considering the statement "If AM is congruent to MB then M is the midpoint of AB". the figure that counters the statement is

Statements that begin with a hypothesis and end with a conclusion are known as conditional statements.

An "If-then" statement is another name for it. The conditional statement is false if the hypothesis is correct but the conclusion is incorrect.

To contradict a conditional statement, the statement has to be made false.

The figure B shows AM being equal to MB, however at figure D AM is not equal to MB.

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Answer:

Step-by-step explanation:

A cube has 6 faces. Area of one face is 4x². To find the total suface area of cube, multiply 4x² by 6

Area of cube = 6 * 4x²

                      = 24x²

Answer: c a b

Step-by-step explanation: hope this helps

Answer:

Step-by-step explanation:

b-circle

a-hyperbola

c-parabola

Answer:

Step-by-step explanation:

The angle of depression is the angle between the line of sight and a vertical line.

The distance between the two skyscrapers is 1269ft

I've added as an attachment, a figure that illustrates the scenario

First, we calculate distance AB using the following tangent ratio

\(\mathbf{\tan(\theta) = \frac{Opposite}{Adjacent}}\)

So, we have:

\(\mathbf{\tan(60) = \frac{AB}{1250}}\)

Make AB the subject

\(\mathbf{AB = 1250 \times \tan(60)}\)

Next, we calculate distance AC using the following tangent ratio

\(\mathbf{\tan(\theta) = \frac{Opposite}{Adjacent}}\)

So, we have:

\(\mathbf{\tan(60+10) = \frac{AB + BC}{1250}}\)

\(\mathbf{\tan(70) = \frac{AB + BC}{1250}}\)

Make AB + BC, the subject

\(\mathbf{AB + BC = 1250 \times \tan(70)}\)

Make BC the subject

\(\mathbf{BC = 1250 \times \tan(70) - AB}\)

Substitute \(\mathbf{AB = 1250 \times \tan(60)}\)

\(\mathbf{BC = 1250 \times \tan(70) - 1250 \times \tan(60)}\)

\(\mathbf{BC = 1269}\)

Hence, the distance between the two skyscrapers is 1269ft

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Answer:4

Step-by-step explanation: y=mx+b is the slope intercept form of an equation. m is the slope and b is the y-intercept. just substitute 4 for m and 2 for b and get the original equation y = 4x + 2. since 4 is m, then 4 is the slope.

Answer:

y= 4(x-5) 2

Step-by-step explanation:

It seems counterintuitive, but to shift a parabola, you have to subtract five from x. To shift to the left, you would simply add five to x instead of subtract.

Answer: 5

Step-by-step explanation:

      We can use ratios / proportions to solve for x. I am going to have the shorter segment on the top of our fractions (the numerator), and the longer segments on the bottom (the denominator).

\(\frac{10}{10+12} =\frac{4x-5}{33}\)

\(\frac{10}{22} =\frac{4x-5}{33}\)

      Now I am going to cross multiply:

10 * 33 = 22(4x - 5)

330 = 88x - 110

440 = 88x

5  = x

x = 5

Answer:

$5,400

Step-by-step explanation:

x = number of months

150x

How many months are in a year?

12

How many month are in three years?

12 * 3 = 36

Put in 36 for x.

150 * 36 = 5,400

Answer:

5,400

Step-by-step explanation:

there are 36 months in 3 years so multiply 150 by 36 and then you get 5400

The measures in the circle given in the image above are calculated as:

1. m<PSQ = 130°;   2. m<AQS = 30°; 3. m(QR) = 100°; 4. m(PS) = 110°; 5. (RS) = 70°.

In order to find the measures in the circle shown, recall that according to the inscribed angle theorem, the measure of intercepted arc is equal to the central angle, but is twice the measure of the inscribed angle.

1. m<PSQ = m<PAQ

Substitute:

m<PSQ = 130°

2. Find m<PBQ:

m<PBQ = 1/2(m(PQ) + m(RS)) [based on the angles of intersecting chords theorem]

Substitute:

m<PBQ = 1/2(130 + 2(35))

m<PBQ = 100°

m<AQS = 180 - [m<BAQ + m<PBQ]

Substitute:

m<AQS = 180 - [(180 - 130) + 100]

m<AQS = 30°

3. m(QR) = m<QAR

Substitute:

m(QR) = 100°

4. m(PS) = 180 - m(RS)

Substitute:

m(PS) = 180 - 2(35)

m(PS) = 110°

5. m(RS) = 2(35)

m(RS) = 70°

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Answer:

y = 1/3x + 1

Step-by-step explanation:

4-3/9-6

1/3.  slope = 1/3 = m

2. plug the values into the equation to find y-int. You can use whichever point is given to you

I'll use (6,3)

y = mx + b

3 = 1/3(6)+b

1/3(6)=2

3 = 2 + b

3. subtract 2 from both sides and you get b

b = 1

So, the equation of the line would be

y = 1/3x + 1