Select the correct answer from each drop-down menu. Two of the solutions for the equation 2x + 3y = 12 are (9, ) and ( , 4).

Answer:

\(\frac{-4}{5}\)

Step-by-step explanation:

\(\frac{-4}{15}* 3 = -4/5\)

Hey there mate :)

As per your question, AB + BC = AC are the sides of a triangle.

=> AB + BC = AC

( AC is hypotenuse and AB and BC are remaining two sides )

=> (x + 16) + (4x + 11) = 77

(These are the given values of each side such as [x+16]=AB ; BC=[4x+11] and AC=77)

=> 5x = 77 - 27

=> 5x = 50

=> x = 50/5

=> x = 10

( Now these above steps are the continuing solving processes of given values)

=> AB = x + 16

(Previously we got value x and now substitute its value)

=> AB = 10 + 16

=> AB = 26

(Now these are the remaining solving processes)

~ Benjemin360

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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\(\\ \rm\longmapsto Area=255m^2\)

\(\\ \rm\longmapsto LB=255\)

\(\\ \rm\longmapsto 9L=255\)

\(\\ \rm\longmapsto L=\dfrac{255}{9}\)

\(\\ \rm\longmapsto L=28.3m\)

For part (a): \(V = \int[1,-1] \pi [\sqrt{(4 - 4y^2})]^2 dy\) \(= 3.1416\)

For part (b): \(V = \int[2,-2] \pi[\sqrt{\frac{(4 - x^2)}{2}}]^2 dx = 12.566\)

To set up an integral for the volume of a solid obtained by rotating a region about a line, we can use the formula for the volume of a solid of revolution:

\(V = \int[a,b] \pi[f(x)}]^2 dx\)

Where [a,b] is the interval over which the region is rotated, f(x) is the equation for the curve that bounds the region, and x is the axis of rotation.

For part (a), we want to rotate the region bounded by the curve x² + 4y² = 4 about the y-axis (i.e. the line y = 2). The y-axis is the axis of rotation in this case, so we will use y as the variable in the integral. The bounds of the integral will be the y-values where the curve intersects the y-axis, which occur at y = +/-\(\sqrt\frac{4}4\) = +/-1. So, the bounds of the integral are [1,-1].

The equation of the curve is given by x²+ 4y² = 4. We can solve for x in terms of y to get x = +/-√(4 - 4y²). Substituting this expression for x into the integral, we get:

\(V = \int[1,-1] \pi [\sqrt{(4 - 4y^2})]^2 dy\)

For part (b), we want to rotate the region bounded by the curve x² + 4y² = 4 about the x-axis (i.e. the line x = 2). The x-axis is the axis of rotation in this case, so we will use x as the variable in the integral. The bounds of the integral will be the x-values where the curve intersects the x-axis, which occur at x = +/-√(4/4) = +/-2. So, the bounds of the integral are [2,-2].

As before, we can solve for y in terms of x to get y = +/-√(4 - x²)/2. Substituting this expression for y into the integral, we get:

\(V = \int[2,-2] \pi[\sqrt{\frac{(4 - x^2)}{2}}]^2 dx\)

To evaluate these integrals, we can use a calculator or a computer algebra system. Using a calculator, we get:

For part (a): \(V = \int[1,-1] \pi [\sqrt{(4 - 4y^2})]^2 dy\)\(= 3.1416\)

For part (b): \(V = \int[2,-2] \pi[\sqrt{\frac{(4 - x^2)}{2}}]^2 dx = 12.566\)

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The solution of sum of expression is,

⇒ (x² - x + 1) / (x - 1)(x - 2)

We have to given that;

Expression is,

⇒ [x /(x² - x - 2)]  + [ (x - 1) / (x - 2) ]

We can simplify as;

⇒ [x / (x² - x - 2)]  + [(x - 1) / (x - 2)]

⇒ [x / (x² - 2x + x - 2)] + [(x - 1) / (x - 2)]

⇒ [x / [ x (x - 2) + 1(x - 2)] + [(x - 1) / (x - 2)]

⇒ [x / (x - 1) (x - 2)] + [(x - 1) / (x - 2)]

⇒ [1/(x - 2)] [ x/(x - 1) + (x - 1) ]

⇒ [1 / (x - 2)]  × [ x + (x - 1)²] / (x - 1)

⇒ [x + (x - 1)² ] / [(x - 1) (x - 2)]

⇒ (x + x² - 2x + 1) / (x - 1) (x - 2)

⇒ (x² - x + 1) / (x - 1) (x - 2)

Hence, The solution of sum of expression is,

⇒ (x² - x + 1) / (x - 1) (x - 2)

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Answer:

Charlotte's age = 30 years

Olivia's age = 50 years

Step-by-step explanation:

Present ages of Charlotte & Olivia = 6:10.

Then, their present ages are:

Charlotte = 6x

Olivia = 10x

Now, in 10 years, their ratio = 4:6

Then,

Ratio of Charlotte's & Olivia's present age + 10 years each = Ratio of their ages in 10 years

\(\frac{6x + 10}{10x + 10} = \frac{4}{6} \\6(6x + 10) = 4 (10x + 10) \: \: \: \: [\mathrm{cross\: multiplication}]\\36x + 60 = 40x + 40\\36x - 40x = 40 - 60\\4x = 20\\\boxed{\bf\:x = 5}\)

So,

Charlotte's present age \(= 6x = 6(5) = {\boxed{\bf\:30 \:years}\)

Olivia's present age = \(10x = 10(5) = \boxed{\bf\:50 \: years}\)

\(\rule{150pt}{2pt}\)

Answer:

maybe 3:2

Step-by-step explanation:

Answer: 2 to 1

Step-by-step explanation:

took usa test prep :)

write it how i wrote it please for correct answer!

Answer: (total amount paid - $40) / 0.05

Step-by-step explanation:

Given the following :

Monthly fee = $40

Additional fee = $0.05 per minute on phone

Given the the amount paid for the month is available, number of minutes he was on phone can be determined thus :

Total amount to be paid = monthly fee + additional fee

Additional fee = $0.05 × n

Where n = number of minutes on phone

Hence,

Total amount paid = $40 + $0.05n

If the amount paid is known, the number of minutes on phone can be calculated thus;

(Total amount paid - monthly fee) = $0.05n

n = (Total amount paid - monthly fee) / fee per minute on phone

(total amount paid - $40) / 0.05

The length of the line segment AB is 5 units.

Unfortunately, you haven't provided any information about PQ such as its location or any other data to help solve the question.

Therefore, it's impossible to determine the length of PQ using the given options. However, here is an explanation of how to find the length of a line segment using the distance formula, which may help you in solving similar questions in the future.

The distance formula is used to find the distance between two points in a coordinate plane, such as the length of a line segment. The formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where d is the distance, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

To use the distance formula, you first need to find the coordinates of the two points that make up the line segment. Then, substitute these coordinates into the formula and simplify to find the distance.

For example, let's say you have two points: A(1, 2) and B(4, 6), and you want to find the length of the line segment AB. Using the distance formula:

d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5

Remember, the distance formula can be applied to any two points in a coordinate plane to find the distance between them.

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Answer:

X = 33

Angle K = 80

Angle J = 61

Step-by-step explanation:

All angles add up to 180

So, we can set it up like this:

39 + (-19 + 3x) + (x + 28) = 180

Now, we can solve:

48 + 4x = 180

4x = 132

x = 33

Therefore, x is equal to 33.

Check:

39 + -19 + 3(33) + 33 + 28 = 180

39 - 19 + 99 + 33 + 28 = 180

180 = 180

I hope this helps!!

- Kay :)

Answer:

4-10 is 6

Step-by-step explanation:

Answer:

its negative or -6

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

Answer:

P(0) = 0.055

P(1) = 0.16

P(2) = 0.231

P(3) = 0.224

P(4) = 0.162

P(5 or more) = 0.168

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given interval.

Here λ = 2.90 is the average number of bacteria colonies per field.

This means that \(\mu = 2.90\)

Compute P(r) for r = 0, 1, 2, 3, 4, and 5 or more.

\(P(0) = \frac{e^{-2.9}*(2.9)^{0}}{(0)!} = 0.055\)

\(P(1) = \frac{e^{-2.9}*(2.9)^{1}}{(1)!} = 0.16\)

\(P(2) = \frac{e^{-2.9}*(2.9)^{2}}{(2)!} = 0.231\)

\(P(3) = \frac{e^{-2.9}*(2.9)^{3}}{(3)!} = 0.224\)

\(P(4) = \frac{e^{-2.9}*(2.9)^{4}}{(4)!} = 0.162\)

5 or more:

This is

\(P(X \geq 5) - 1 - P(X < 5)\)

In which:

\(P(X < 5)  = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.055 + 0.16 + 0.231 + 0.224 + 0.162 = 0.832\)

\(P(X \geq 5) - 1 - P(X < 5) = 1 - 0.832 = 0.168\)

So

P(5 or more) = 0.168

10% of the time, the population mean will go below $1,500 or exceed $2,100.

Given that,

Assume that we have data on the annual spending on apparel of a sample of families. The probability that the population mean will fall below $1,500 or rise over $2,100 is ________% if we are 90% positive that the genuine population mean will be between $1,500 and $2,100.

We have to fill the blank.

We know that,

90% of the time, the real population mean will fall in the range of $1,500 and $2,100.

The genuine population mean will therefore most likely fall between $1,500 and $2,100, with a 90% probability.

So, the probability that it will fall outside of this range (i.e., be either less than $1,500 or beyond $2,100) is 100-90, or 10%.

Therefore, 10% of the time, the population mean will go below $1,500 or exceed $2,100.

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Answer:

5×10-2×10=3×10

50-20=30i think

Answer: 18

Step-by-step explanation:

Multiply number of each item possible

3*2*3=18

Answer:

Step-by-step explanation:

ODYSSEY

This question is incomplete , I am answering this question in general as per my knowledge.

No, because you gave T a Boolean when T expected a student as its first argument and a course as its second parameter. This will be less formal if.

The expected,

T(‘‘user2012813",‘‘discrete math")=true

However, the function F(x) and A both yield either true or false (y). Thus, you are attempting to assess

T(F(‘‘user2012813"),A(‘‘discrete math"))=T(true, false)= NULL

Only the first formulation makes sense, but after relations are established, these kinds of structures can be used.

Null functions as both a value and a pointer in computer programming. A built-in constant called null has a value of zero. It is the same as how strings in C are terminated with the letter 0.

Null is another possible value for a pointer, and unless the CPU supports a unique bit pattern for a null pointer, it has the same value as zero.

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At first let us choose the 5 points

at x = 0, y = 0

The first point is (0, 0)

We will choose a = 1/2

The points are

(-2, -4)

(-1, -1/2)

(0, 0)

(1, 1/2)

(2, 4)

Answer:

\(60a^{2} b^{4} c\)

Step-by-step explanation:

just multiply first paranthesis with second one. They are each 1 unit as there are no addition or subtraction inside the parantehsis so DON'T distribute. It's more simple.

(12ab^4c)*(5a)

now multiply these 2 paranthesis, again just 2 units to multiple.

60a^2b^4c

Answer:

Your answer is A.

Step-by-step explanation:

Answer:

The first one is 109, the 2nd one is the 2nd and 4th choices

Step-by-step explanation:

The answer for this question is Celsius for Fahrenheit.

To convert temperatures from degrees Fahrenheit to degrees Celsius, multiply the result by.5556 (or 5/9) after subtracting 32.

(50°F - 32) x.5556 = 10°C, for instance.

When converting from degrees Celsius to Fahrenheit, multiply the result by 1.8 (or 9/5) and then by 32.

For instance, (30°C x 1.8) + 32 = 86°F'

Here are two useful charts that translate between F and C as well as between C and F.

The temperature of f degrees Fahrenheit converted to degree Celsius.

(( f)=5/9 (f-32)

represent the temperature of f degrees Fahrenheit converted to degree Celsius.

The function C(F) will be "C of F" it will be converted Fahrenheit to Celsius.

So that means if the temperature is in Fahrenheit it will be converted to Celsius.

So that means the C(F) represents the Celsius temperature.

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Complete Question -

For one month diera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees FAhrenheit to degrees Celsius using the function C(F) = 5/9(F-32). What does C(F) represent?

Answer:

0.66 melones por niño o 2/3

Step-by-step explanation:

10/15=2/3=0.66

how is your day going to amas tomorrow and I will be there in about an hour or so close to the clan is fulo in