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Answer:

If you had 80 students attend a concert and the next year you had 160 students attend, that is a 100% increase but if it increased by 50%, there would be 120 students attend. So the wrong part is the '50%'

Answer:

26

Step-by-step explanation:

52+7= 59

59-33= 26

$26

Answer:

11

Step-by-step explanation:

a+b^2

Let a=2 and b=3

2+3^2

2 + 9

11

Answer: 11

2 + (3 x 3 )

2 + 9

The required answer would be 11 :)

Step-by-step explanation:

The correct answer is d. None of these.

a. {L_L, LLU, LUL, LUU, ULL, ULU, UUL, UUU} represents the sample space of possible outcomes, where L represents a locked door and U represents an unlocked door. Each outcome represents a possible combination of locked and unlocked doors that Nanette may encounter.

b. {LLU, LUL, ULL, UUL, ULL, LUU} is not a complete sample space, as it is missing some possible outcomes. For example, the outcome where all doors are locked (LLL) is not included.

c. {LLL, UUU} is also not a complete sample space, as it only includes two possible outcomes. There are other possible combinations of locked and unlocked doors that are not represented.

Therefore, the correct answer is d. None of these. The complete sample space would include all possible combinations of locked and unlocked doors for the three doors that Nanette must pass through.

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The maximum height is h = 64 feet.

A: To find how long the rocket was in the air, we need to find when it hits the ground (h = 0). Solve for t in the equation 0 = -16t^2 + 32t + 48. The positive solution is t ≈ 3 seconds.

B: To find the height at 2 seconds, plug t = 2 into the equation: h = -16(2^2) + 32(2) + 48.

The height is h = 40 feet.

C: To find the maximum height, find the vertex of the parabola. The vertex is at t = -b / 2a = -32 / (2 * -16) = 1.

Plug t = 1 into the equation: h = -16(1^2) + 32(1) + 48. The maximum height is h = 64 feet.

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Answer:

Only A

Step-by-step explanation:

The length of top enclose r s end enclose = √(4² + 5²) = √(16 + 25) = √(41) = approximately 6.4 inches.

The length of top enclose r s end enclose can be determined using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Since top enclose p s end enclose is a diameter of the circle, it is the hypotenuse of a right triangle formed by top enclose p s end enclose, top enclose p q end enclose and top enclose p r end enclose. Thus, the length of top enclose r s end enclose is the square root of the sum of the squares of the lengths of the other two sides, which are 4 inches and 5 inches.

In other words, the length of top enclose r s end enclose = √(4² + 5²) = √(16 + 25) = √(41) = approximately 6.4 inches.

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A table of critical values of t, also known as a t-distribution table, is a reference table used in statistical hypothesis testing to determine the critical values of the t-distribution for a degrees of freedom.

The table lists the critical values of the t-distribution for various degrees of freedom and significance levels. For a given level of significance (usually denoted by alpha), the table provides the critical t-value that corresponds to the degrees of freedom of the sample. The critical t-value is the minimum value of t that must be exceeded in order to reject the null hypothesis at the specified level of significance.

The t-distribution is similar to the standard normal distribution but has heavier tails, making it more suitable for small sample sizes. By using a table of critical values of t, statisticians and researchers can determine whether their t-statistic falls in the rejection region or not, and make conclusions about their hypothesis test.

It's important to note that the use of a t-distribution table assumes that the data being analyzed are normally distributed, and that the sample size is small. For larger sample sizes, a normal distribution table may be more appropriate.

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Answer:

133/7 = 19

Step-by-step explanation:

"Find the average change in the zoo's tiger food supply each day."

And what does that have to do with anything? It's not like there is a change in diet that we can then easily calculate using derivatives.

Answer:

11x^2 + x - 1 (answer)

Step-by-step explanation:

To add polynomials, combine like terms:

11x^2                - 5

              +x      +4

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

11x^2 + x - 1 (answer)

The number of late insurance claim payouts per 100 should be measured with a p-chart. Therefore, the correct option is (e) p-chart.

A p-chart is a type of control chart used to monitor the proportion of nonconforming items in a sample, where nonconforming items are those that do not meet a certain quality standard or specification. In this case, the proportion of late insurance claim payouts would be the proportion of nonconforming items.

A p-chart is appropriate when the sample size is constant and the number of nonconforming items per sample can be either small or large. It is used to monitor the stability of a process and to detect any changes or shifts in the proportion of nonconforming items over time.

An X-bar chart and R-chart are used to monitor the mean and variability of a continuous variable, respectively, and would not be appropriate for measuring the number of nonconforming items.

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Answer:

Four folk love legends: "Cowhand and Weaver Girl", "Meng Jiangnu crying at the Great Wall" (cry Wan Xiliang), "Liang Shanbo and Zhu Yingtai", "The Legend of the White Snake", the author does not know

The development history of the Four ancient Chinese folk legends: China is a country with a vast territory and abundant resources and a long history, which contains extremely rich national cultural heritage. Among them, the four most Chinese ones are the famous "Cowhand and Weaver Girl", "Meng Jiangnu", "Liang Shanbo and Zhu Yingtai" and "The Legend of the White Snake". The most widespread, the most influential.

Brief introduction: the gigolo knit legend began in the book of songs, cable ":" Qi he vega ", "Huan he cow". "Nineteen Ancient Poems · Long Distance Star" has called the cowherd and weaver girl husband and wife. Ying Shao "custom" Yi wen: "Zhinv Tanabata when crossing the river, make magpie bridge, legend has it that the magpie head without reason all Kun, because beam (note: bridge) to cross Zhinv also. The story has been preliminarily formed and combined with the Qixi Festival custom.

The legend of Meng Jiangnu originated from the record of Qi Liang's wife refusing to hang herself in the area of the Marquis of Qi and adhering to the rules of etiquette in the Zhuan. Later, it was added in the Dangong that "Duke Zhuang of Qi attacked Ju and took away (tunnel) and Qi Liang died. The weeping wife who greeted his coffin on the road is the archetype of the story. Han Liu Xiang's Biography of Liannu (IV) : "Qi Liangzhu died in battle, his wife cried in the city, ten days the city collapsed." And Tang (anonymous) "carved jade collection" record "Qin when Yan Qi Liang, married Meng Chao female Zhongzi wife, because good was built the Great Wall officials killed, Zhongzi cry under the Great Wall, the city collapsed. It is known that this legend was popular in the Tang Dynasty, but Meng Zhongzi and Qiliang were renamed Meng Jiangnv and Fan Xiliang in the legend. The story of Butterfly lovers first appeared in Tang's "Ten Taoist and Four Tibetan Records", which recorded the story of Liang and Zhu "having a taste of schoolmates" and "sharing the tomb". There are more detailed records in Xuanbaozhi of late Tang Zhang Reading. To the Ming Dynasty Feng Menglong's "Ancient and modern novels", and added to the British Taiwan confused belt, Liang Shanbo doubts and butterflies.

The story of White Snake came into being the latest. The origin of the story is as follows. It originates from the Three Towers of West Lake. To the Ming Dynasty Feng Menglong's "Lady White Forever Town Leifeng Pagoda" (" Warning Word "), the story has been preliminarily finalized.

Answer: 7.5 cm; 1.6 cm

Step-by-step explanation:

If that is a right triangle, it is probably a 30 60 90 triangle and we can use this special property to say that the leg facing the 30 degree angle is half of the hypotenuse. The hypotenuse measures 15 cm, which means we can say that the leg facing the 30 degree angle is 7.5 cm. Next, since 21 cm is the sum of the 2 legs, we can add 21 cm to 15 cm to get 36 cm. Now that we know our hypotenuse, perimeter, and one of our legs, we can find the other leg by using basic algebra to get 1.6 cm. Hopefully this helps! I'm not sure tho.

Step-by-step explanation:

The given number is 7,594,000,000.

To convert it into scientific notation,

First move the decimal point places to the left to find a number that is greater than or equal to 1 and less than 10. Then multiply by 10 , using an exponent on 10 that equals the number of places you moved the decimal. The exponent is negative if the original no was <1 and the exponent is positive, if the original number was  > 1.

In 7,594,000,000, we move the decimal point places to the left before 5. It means we have moved 9 digits left.

Hence, \(7,594,000,000=7.59\times 10^9\) is the scientific notation.

Answer:

3 Lessons

Step-by-step explanation:

Find out the difference between the initial price of each lesson. In this equation it's $10. With that being said, for every lesson the difference will always be $10. So the next lesson would be a $20 lesson and so forth. By the third lesson the difference would be $30. You add the $30 to the $30 per lesson teacher and you'll get $90 which would be equal to the teacher doing it for $30 an hour to begin with.

The total number of lessons when the cost of the two teachers be the same is 3 and this can be determined by forming the linear equation.

Given :

The following steps can be used in order to determine the total number of lessons will the cost of the two teachers be the same:

Step 1 - Let the total number of lessons be 'x'.

Step 2 - The total amount of money the first piano teacher earn is:

= 20x + 30

Step 3 - The total amount of money another piano teacher earn is:

= 30x

Step 4 - According to the given data, the cost of the two teachers be the same, that is:

20x + 30 = 30x

Step 5 - Simplify the above equation.

30 = 10x

x = 3

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Answer:

40°

Step-by-step explanation:

Angles on a straight line add up to 180

180 - 110 = 70

As it's an isosceles triangle the opposite angles are the same

70 + 70 = 140

180 -140 = 40

Answer:

Step-by-step explanation:

180-110=70

x+70+70=180

x=180-140=40°

Answer:

There is no problem.

Step-by-step explanation:

Answer:

1/6 on ed

Step-by-step explanation:

Answer:

Answer: None

Step-by-step explanation:

Polynomial Remainder Theorem

The polynomial remainder theorem establishes that the remainder of the division of a polynomial f(x) by (x-k) is equal to f(k), that is, substituting x for k.

We are given the polynomial:

\(f(x)= x^4+x^3-x^2+x-1\)

And it's required to know if (x+1) and/or (x-1) are factors of the polynomial.

We apply the theorem for both cases.

For (x+1), we substitute x=-1 into the polynomial:

\(f(-1)= (-1)^4+(-1)^3-(-1)^2+(-1)-1\)

\(f(-1)= 1-1-1-1-1=-3\)

Since the remainder is not zero, x+1 is not a factor of the given polynomial.

For (x-1), we substitute x=1 into the polynomial:

\(f(-1)= (1)^4+(1)^3-(1)^2+(1)-1\)

\(f(-1)= 1+1-1+1-1=1\)

Since the remainder is not zero, x-1 is not a factor of the given polynomial.

Answer: None

The probability of a student doing well on an exam given that they spend time reading is approximately 0.983 or 98.3%.

To calculate the probability of a student doing well on an exam given that the student spends time reading, we need to use conditional probability.

Let's denote:

P(R) as the probability of a student spending time reading (P(R) = 0.59),

P(E) as the probability of a student doing well on an exam (P(E)),

P(E|R) as the probability of a student doing well on an exam given that they spend time reading (P(E|R) = 0.58).

The formula for conditional probability is:

P(E|R) = P(E and R) / P(R).

Given that P(E and R) = 0.58 (the probability of a student doing well on an exam and spending time reading) and P(R) = 0.59 (the probability of a student spending time reading), we can substitute these values into the formula:

P(E|R) = 0.58 / 0.59 = 0.983.

Therefore, the probability of a student doing well on an exam given that the student spends time reading is approximately 0.983 or 98.3%.

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Answer:

A.

Step-by-step explanation:

You can read the y-intercept as -2.

We have

y = mx - 2

The slope is 1/2. m = 1/2.

y = 1/2 x - 2

Answer:

\(f(5)=9\)

Step-by-step explanation:

\(f(5)=2(5+3)-7=2(8)-7=16-7=9\)

Answer:

200 cubic centimeters is the answer :)

Step-by-step explanation:

A pyramid is a 3D structure. The right pyramid tells us that it is a straight pyramid and also has a square base.

Given:

We now,

In this instance,

The formula used to calculate the volume of the right pyramid as,

=)  1/3 ( base area x height).

Substituting the values of base area and height by 'x' and '(x+2)' respectively, we get

=)  1/3 * x * (x+2)

=)  (x^2+2x)/2

Hence the volume is given by the expression:  (x^2+2)/2

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Answer: B

Step-by-step explanation: because

Answer:

x = 120°

Step-by-step explanation:

We are given;

sec²x + 4secx = -4

Rearranging gives;

sec²x + 4secx + 4 = 0

Factorizing the left hand side gives;

(sec x + 2)(sec x + 2) = 0

This means that;

(sec x + 2) = 0

From trigonometry, we know that sec x = 1/cos x

Thus;

(1/cos x) + 2 = 0

1/cos x = -2

cos x = -1/2

cos x = -0.5

x = cos^(-1) -0.5

x = 120°

Answer: Two parallel lines have the same slope. Therefore, we can use the slope of the given line y = -4x + 5 to find the slope of the line that is parallel to it.

The slope of y = -4x + 5 is -4. Therefore, the slope of any line parallel to it will also be -4.

Now we have the slope of the line and a point that it passes through. We can use point-slope form to write the equation of the line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point on the line.

Plugging in the values we know, we get:

y - (-1) = -4(x - (-2))

y + 1 = -4(x + 2)

y + 1 = -4x - 8

y = -4x - 9

Therefore, the equation of the line that is parallel to y = -4x + 5 and passes through the point (-2,-1) is y = -4x - 9.

Step-by-step explanation:

Answer: C. The temperature decreased by 6 degrees.

Step-by-step explanation:

From the question, we are informed that over a period of 4 hours, the outside temperature changed by an average of –1.5 per hour. The change over the 4 hours period will be:

= -1.5 × 4

= -6 hours.

The shows that the temperature decreased by 6 degrees.

By the De Moivre's formula, the complex numbers i⁷¹, i⁴⁷, i¹⁹ are equivalent to - i.

In this question we have eight cases of powers of complex numbers, of which we must determine what cases are equivalent to the complex number - i. This can be checked by means of De Moivre's formula:

zⁿ = rⁿ · (cos nx + i sin nx)

Where:

Please notice that nx must be in radians.

If we know that r = 1, cos nx = 0, sin nx = - 1 and x = π / 2, then we find that:

The complex numbers i⁷¹, i⁴⁷, i¹⁹ are equivalent to - i.

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