Exact volume
15 ft
7 ft

Answer:

  x = -8/7

Step-by-step explanation:

You want the zero(s) of the rational expression (7x²+29x+24) /(5x²+ 19x+12).

The zeros will be the values of x that make the numerator of the simplified form of the expression be zero.

  \(\dfrac{7x^2+29x+24}{5x^2+19x+12}=\dfrac{(x+3)(7x+8)}{(x+3)(5x+4)}=\dfrac{7x+8}{5x+4}\)

This is zero when ...

  7x +8 = 0

  x = -8/7 . . . . . . . subtract 8, divide by 7

The zero of the rational expression is x = -8/7.

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The number of hours it will take the airplane to fly the given distance would be = 4.5 hours

To calculate the number of hours that can be used for the distance, the following needs to be done. That is;

The number of hours it take to complete 3600 miles = 3 hours

Therefore the number of hours it will take to complete 5400miles = X hours.

That is;

3600 miles = 3 hours

5400 miles = X hours

make X the subject of formula;

X = 5400×3/3600

= 16,200/3600

= 4.5 hours.

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Answer:

40 pensil

Step-by-step explanation:

Dari pertanyaan di atas, kita diberitahu bahwa:

Dita memiliki 10 kotak pensil

1 kotak pensil = 36 pensil

10 kotak pensil =

Cross Multiply

10 × 36 = 360 pensil.

Dari pertanyaan tersebut, kami diberitahu bahwa Dita memiliki 9 orang teman dan ia membagikan semua pensilnya secara merata kepada mereka di hari ulang tahunnya.

Jumlah pensil yang diterima setiap teman dihitung sebagai:

360 pensil ÷ 9 teman

= 40 pensil.

Oleh karena itu, setiap teman mendapat 40 buah pensil.

Answer:

5

Step-by-step explanation:

The probability that the student chosen will be a boy who watched tennis yesterday is 1/8.

Given that 56 students were asked if they watched tennis yesterday, 20 of the students are boys, 17 girls watched tennis yesterday and 32 students did not watch tennis yesterday and out of all these one students is to be chosen at random.

We have to find the probability that the student chosen will be a boy who watched tennis yesterday.

Total number of students is 56.

The total number of girls is 56-20=36

Girls who didn't watch tennis is 36-17=19

Number of the boys who did not watch the game is 32-19=13

Number of boys watching a tennis match is 20-13=7

Now, we will find the probability that the student chosen will be a boy who watched tennis yesterday.

Probability=Number of boys watching a tennis match/Total number of students
Probability=7/56

Probability=1/8

Hence, the probability that the student chosen will be a boy who watched tennis yesterday when 56 students were asked if they watched tennis yesterday is 1/8.

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Answer:

Graph A

Step-by-step explanation:

You can use symmetry to find the inverse of a function because you know that the inverse of a function will be that function reflected across the line y=x. This is a line that has a slope of 1 and runs through the origin. Taking a look at the graph choices given, the only one that appears to have been reflected across y=x is graph A, since all of the points of pre-image and the corresponding points on the image are equally distant from y=x. Hope this helps!

Answer:  A (the first graph)

Step-by-step explanation:

Inverse is when you swap the x's and y's

A = (x, y)  →   A⁻¹ = (y, x)

I took three points from the graph (labeled A, B, C) and found their inverse.

A = (-7, 0)  →   A⁻¹ = (0, -7)

B = (0, 7)   →   B⁻¹ = (7, 0)

C = (9, 9)  →   C⁻¹ = (9, 9)

see graph below

The mean is 63.12 using the data given.

Given that,

Calculate the dataset's mean using the output from the following calculator, rounding to the nearest 100th if necessary.

1-Var-Stats

\(\bar x\) = 63.1428571429

∑x = 442

∑x² = 28266

Sₓ = 7.71208081364

σₓ = 7.13999942834

n = 7

minX = 48

Q₁ = 58

Med = 66

Q₃ = 69

maxX = 69
​Mean value is defined as sum of all data values divided by the total number of data values

Using the given data output

We get,

Mean = 63.14 (rounded to 2 decimals)

Therefore, The mean is 63.12 using the data given.

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By substituting y = x^r into the given differential equation and solving for r, we found that the values of r satisfying the equation are r = -3 and r = 3.

To find the values of r for which y = x^r is a solution of the given differential equation, we need to substitute y = x^r into the differential equation and solve for r. Let's proceed with the solution:

Given differential equation: x^2y'' + xy' - 9y = 0

Substituting y = x^r into the differential equation:

x^2(r(r-1)x^(r-2)) + x(rx^(r-1)) - 9x^r = 0

Simplifying the equation:

r(r-1)x^r + rx^r - 9x^r = 0

Combining like terms:

(r^2 - r + r - 9)x^r = 0

Simplifying further:

(r^2 - 9)x^r = 0

For the equation to hold true for all x, the coefficient of x^r must be zero. Therefore, we have:

r^2 - 9 = 0

Factoring the equation:

(r + 3)(r - 3) = 0

Setting each factor equal to zero, we find two possible values for r:

r + 3 = 0 -> r = -3

r - 3 = 0 -> r = 3

Therefore, the values of r for which y = x^r is a solution of the given differential equation are r = -3 and r = 3.

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Answer:

y=2(x + 2))^2 - 9

Step-by-step explanation:

So, whenever two negative signs are right next to each other, they make a positive. However, when they are alone, they stay negative.

With this, y=2(x-(-2))^2 + (-9) --> y=2(x + 2))^2 -9

The probability that at least one client will disclose a food allergy will be 0.6323 when the percentage of customers who will disclose a food allergy is 0.08.

Given that.

The percentage of customers who will disclose a food allergy is 0.08

At Ying Ying's bakery, 121 people place orders on a single day.

We can utilize the binomial distribution if we believe that each of the 12 clients has an equal probability of reporting a food allergy.

Formula for Binomial probability distribution:

P(X=x)=ⁿCₓpˣ(1-p)ⁿ⁻ˣ

Where P(x)= probability of getting success in x trials,

n= sample size ,

p represents the probability that each event will succeed.

As stated, we have n=12

p=0.08

Let x signify that the client will disclose a food allergy.

Following that, the probability that at least one client will disclose a food allergy will be:

P(x≥1)=1-P(x<1)

=1-P(x=0)

=1-¹²C₀(0.08)⁰(1-0.08)¹²⁻⁰

=1-(1)(0.12)¹²

=1-0.3677

=0.6323

Therefore, the probability that at least one client will disclose a food allergy will be 0.6323 when the percentage of customers who will disclose a food allergy is 0.08.

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The equation is 128 + 2x = 180.

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

The sum of the same-side interior angles between two parallel lines is supplementary

This means,

128 + 2x = 180

2x = 180 - 128

2x = 52

x = 26

Thus,

The value of x is 26.

The equation is 128 + 2x = 180.

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Answer and explanation:

To find the slope between points A and B, divide the change in y by the change in x. The change in y = 6 and the change in x = 9: 6 ÷ 9 = 2/3

To find the slope between points B and C, divide the change in y by the change in x. The change in y = 10 and the change in x = 15: 10 ÷ 15 = 10/15 = 2/3

The slope of the line between any two points on the graph is 2/3 because it is a straight line

Hope this helps!

The picture is for part a

Answer:

The scores from Mrs. Rijo’s class are the closest to the class mean.

Step-by-step explanation:

Just took the test

Answer:

543,800

Step-by-step explanation:

You have to look to the right of the hundreds place.  If its 4 or below, go down if its 5 or up, the number goes up. Hope this helps! :D

If one is listening to a work from the genre tembang sunda, the statement that is never true is "Main Answer".
Tembang Sunda is a genre of traditional music from the Sundanese people of West Java, Indonesia. It is characterized by its unique melodies, vocal techniques, and instruments.

To determine which statement is never true, let's analyze the options:
"The lyrics are sung in Sundanese language." This statement is true, as Tembang Sunda songs are typically sung in the Sundanese language.
"The music is accompanied by traditional Sundanese instruments." This statement is also true, as Tembang Sunda is known for its traditional instrumentations like suling (bamboo flute), kacapi (zither-like instrument), and angklung (bamboo instrument).
"The genre originated in Bali, Indonesia." This statement is false, as Tembang Sunda originated in West Java, not Bali.

If one is listening to a work from the genre tembang sunda, it is important to understand the characteristics and elements of this traditional Sundanese music. Tembang Sunda is a genre of music that originates from the Sundanese people of West Java, Indonesia. It is known for its unique melodies, vocal techniques, and instruments. When listening to a work from this genre, there are certain statements that may or may not be true. Let's analyze the options provided:

"The lyrics are sung in Sundanese language." This statement is true. Tembang Sunda songs are typically sung in the Sundanese language. The lyrics often revolve around themes of love, nature, and spirituality.

"The music is accompanied by traditional Sundanese instruments." This statement is also true. Tembang Sunda is known for its traditional instrumentations, such as suling (bamboo flute), kacapi (zither-like instrument), and angklung (bamboo instrument). These instruments contribute to the distinct sound and atmosphere of the music.

"The genre originated in Bali, Indonesia." This statement is false. Tembang Sunda originated in West Java, not Bali. It is deeply rooted in the cultural traditions and heritage of the Sundanese people.

Therefore, the statement that is never true when listening to a work from the genre tembang sunda is "Main Answer". Tembang Sunda is characterized by lyrics sung in Sundanese language, accompanied by traditional Sundanese instruments, and originates from West Java, Indonesia.

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Answer:

66x

Step-by-step explanation:

Rect = bh

Rect = 15 x 4x

Rect = 60x

Triangle = (bh) / 2

B = 7x - 4x

B = 3x

A = 15 - 11

A = 4

Tri = (4 x 3x) / 2

Tri = 12x / 2

Tri = 6x

All = Rect + Tri

All = 6x + 60x

All = 66x

(I promise it's right this time)

Answer:

66x

Step-by-step explanation:

Separate the shape into a rectangle and a triangle.

Dimension of the rectangle:

Dimension of the triangle:

Area of a rectangle = length × width

Area of a triangle = 1/2 × base × width

Total area = area of rectangle + area of triangle

                 = (15 × 4x) + (1/2 × 4 × 3x)

                 = 60x + 6x

                 = 66x

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.

A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.

given

The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).

The following is a definition of a recursive formula for the nth element of the sequence:

a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)

For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have

a_2 = a_1 + 7 = 5 + 7 = 12

a_3 = a_2 + 7 = 12 + 7 = 19

a_4 = a_3 + 7 = 19 + 7 = 26

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Answer: $351

Step-by-step explanation:

We need to setup two equations:

If you're taking the monthly cost: y = 468x, where x is the number of months.

If you're paying upfront: y = 12(0.25(39))x = 117x, where x is the number of years

So in one year, you will save (468-117) = $351 by paying upfront.

Answer:

X=1

Step-by-step explanation:

2(X+5)=3(5-1)

2x+10=3*4

2x=12-10

2x=2

X=2÷2

X=1

Answer:

The temperature was higher on Wednesday than on Tuesday.

Step-by-step explanation:

-5<5

Nominal, ordinal, interval, and ratio are measurement scales used in statistics to categorize and rank data.

Nominal, ordinal, interval, and ratio are four sorts of information estimation scales utilized in measurements.

Nominal scales are utilized to mark or classify information into particular gatherings, where each gathering is fundamentally unrelated and altogether comprehensive. Instances of ostensible information incorporate orientation, race, and occupation.

Ordinal scales include positioning information in a particular request, however the distinctions between values are not significant. Instances of ordinal information incorporate positioning motion pictures in view of their prominence or understudy execution on a test.

interval scales include positioning information in a particular request, however the distinctions between values are significant, and there is no obvious zero point. Instances of stretch information incorporate temperature, intelligence level scores, and time.

ratio scales are like span scales, however they have a genuine zero point, implying that values can be duplicated and partitioned. Instances of proportion information incorporate weight, level, and pay.

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The complete question is:

what is the nominal, ordinal, interval and ratio?

The three angles opposite the three equal sides are equal in size because the three sides are equal.

Given,

An equilateral triangle in geometry is a triangle with equally long sides. The three angles opposite the three equal sides are equal in size because the three sides are equal. It is also known as an equiangular triangle since each angle is 60 degrees.

A right-angled triangle has one angle that is 90 degrees, thus if we define an equilateral triangle as having all angles that are 90 degrees, their sum would be 270 degrees, which is not conceivable because the sum of all the angles in a triangle is 180 degrees.

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Answer:

what do you need help with??

Step-by-step explanation:

i would be happy to help : )

Answer:

1 in 4 chance

25% chance

Answer:

25%

OR

(1/4.)

Step-by-step explanation:

So, to get heads twice in a row in two coin tosses it would be 25%. The odds of getting a heads with one coin toss is 50% (1/2.) Every time you do another coin toss the odds are halfed again. So half of 1/2 is 1/4 (think about it as like 50 divided by 2, so 25%.)

Hope this helps and have a nice day! Sorry I'm not great at explaining!

If there are 450 grams of element and half life is 8 minutes, then it will take 28.83 minutes the element to decay to 37 grams

Half life of radio active element = 8 minutes

Initial quantity of radio active element = 450 gram

Final quantity of radio active element = 37 grams

y = a(0.5)^(t/h)

Substitute the values in the equation

37 = 450 (0.5)^(t/8)

Move 37 to left hand side of the equation

37 / 450 = 0.5^(t/8)

Convert the terms to logarithm

t/8 = \(log_{0.5}\frac{37}{450}\)

t/8 = 3.60

t = 8 × 3.60

Multiply the numbers

t = 28.83 minutes
Therefore, the it will take 28.83 minutes to decay to 37 grams

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Answer:

V=103.

Step-by-step explanation:

V=πr2h

=π·2.82

·4.2≈103

.44636

Answer:

Step-by-step explanation:

the correct answer is 10.39 cubic feet

The equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100. Option C is correct.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Amount of ammonia in the solution 16%  x 22 gallons  =  3.52 gallons

The proportion of ammonia remains the same as the water evaporates, but the total composition of the solution is decreased by the amount of water that evaporates.

Quantity of ammonia = 3.52 gallons

Quantity of water after evaporation = 22 - n

Composition of ammonia after evaporation of water, 24% = 24/100

Now the percentage of ammonia after evaporates
Quantity of ammonia / Remaining water = 24%
3.52 / (22 - n) = 24 / 100

Thus, the equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100.

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The most appropriate choice for expectation will be given by-

Expected value for someone who buys the ticket = $\((-1591.2)\)

What is expectation?

At first it is important to know about probability of an event.

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Suppose x is a random variable with the probability function f(x). suppose

\(x_1. x_2,........,x_n\) are the values corrosponding to the actual occurance of the event and \(p_1, p_2.,,,, p_n\) be the corrosponding probabilities.

Expectation is given by the formula \(p_1x_1+p_2x_2+...+p_nx_n\)

Here,

Total number of tickets = 832

Number of prized tickets = 1

Probability of winning a ticket = \(\frac{1}{832}\)

Probability of losing a ticket = \(\frac{831}{832}\)

Gain of winning = $(1600 - 5) = $1595

Loss of losing = $(5 - 1600) = -$1595

Expected value for someone who buys the ticket

\(1595 \times \frac{1}{832} + (-1595)\times \frac{831}{832}\)

\(1595\times(\frac{1-831}{832})\\-1595\times \frac{830}{832}\\\)

$\((-1591.2)\)

Expected value for someone who buys the ticket = $\((-1591.2)\)

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Answer: D. x+2/x^3+2

Step-by-step explanation:

x2+x−2/x3−x2+2x−2

x2+x−2/x3−x2+2x−2

(x−1)(x+2)/(x−1)(x2+2)

x+2/x2+2