15 songs that are the saame lenght are preformed during a concert. if the concert lasts 27 minutes and 30 seconds, how long is each song?

Answer:

48 gallons

Step-by-step explanation:

\( \frac{3}{4} = \frac{6}{8} \\ \frac{6}{8} - \frac{1}{8} = \frac{5}{8} \\ 5 \div 30 = 6 \\ 6 \times 8 = 48\)

We know that if (x,y) lies on the graph of a function, then (y,x) lies on the graph of its inverse.

This means you need to draw the segment with endpoints (9,1) and (2,3).

The trigonometric values for a right triangle can be obtained through the measurements of the different sides,

this can be found in a triangle like this,

then, identify the measurements in the given triangle

then,

MY WORK:

First, you would cut it up into different parts/shapes

(I cut it up into rectangles)

Then, you would find the area of each.

The bottom rectangle: 10 ( 5 times 2 )

The middle rectangle: 12 ( 6 times 2 )

The top rectangle: 8 ( 4 times 2 )

Lastly, you would add!

10 + 12 + 8 = 30

Therefore, the answer is...

30!

My apologies if this is wrong but I hope I helped a little bit!

The value of c₂ = 1. Substituting the values of c₁ and c₂ back into the general solution, we get y(t) = 2cos(3t) + sin(3t).The correct solution is y(t) = 2cos(3t) + sin(3t), and it satisfies the initial conditions y(0) = 2 and y'(0) = 3.

The given differential equation is y" + 9y = 0. The characteristic equation is r² + 9 = 0 and it gives us the roots r = ±3i.

We know that the general solution to this differential equation is y(t) = c₁cos(3t) + c₂sin(3t). Given y = sin(3t)2cos(3t), we can write this as y = 1/2sin(6t).

Now we can compare the coefficients of y(t) and y'(t) with the coefficients of the given initial values: y(0) = 2 and y'(0) = 3. y(0) = 2 => c₁ = 2/cos(0) = 2 y'(0) = 3 => -3c₁sin(0) + 3c₂cos(0) = 3 => 3c₂ = 3

Therefore, c₂ = 1. Substituting the values of c₁ and c₂ back into the general solution, we get y(t) = 2cos(3t) + sin(3t). Hence, y = sin(3t)2cos(3t) is not a solution to the given initial value problem.

The correct solution is y(t) = 2cos(3t) + sin(3t), and it satisfies the initial conditions y(0) = 2 and y'(0) = 3.

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Answer:

A

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

  = (2x + 10)(2x + 6) ← expand using FOIL and equate to 140

 = 4x² + 12x + 20x + 60 = 140

= 4x² + 32x + 60 = 140 ( subtract 140 from both sides )

4x² + 32x - 80 = 0  

Answer:

A: 4x² + 32x - 80 = 0

Step-by-step explanation:

Formula

Solving :

The domain and range of this linear function f(x) = 4x – 8 is: A. domain: {x | x is a real number}; range: {y | y > –8}.

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate. This ultimately implies that, a linear function is typically used for uniquely mapping an input variable to an output variable.

A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain refers to the set of all possible input numerical values (numbers) to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.

In conclusion, the domain of this linear function consist of all real numbers while the range comprises the set of all real numbers on the y-axis that are greater than negative eight (-8).

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Answer:

its a

Step-by-step explanation:

Step-by-step explanation:

look at the graph !

there is an explicit horizontal limit line at y = -1.

no such vertical line for a limit for x.

as usual for exponential functions, f(x) grows rapidly, but is still valid for all x of R.

so, D is the right answer.

when x gets more and more to the left, f(x) grows and grows strongly, and goes to infinity.

when x gets more and more to the right, f(x) gets closer and closer to -1 (but will never reach it, only at infinity ...).

The intersection of the unshaded row and the unshaded column is the unit square, which represents 1. Which is: \($$23 \times 34= 782$$\). The correct option is D. 612 or 12.

Given below is the model:

To find the product of 23 and 34 using the given model, we need to follow the steps below:

Step 1: Divide the rectangle into 12 equal parts as shown below:

Step 2: Shade 3 columns blue, leaving one column unshaded as shown below:

Step 3: Divide the rectangle into two parts as shown below:

Step 4: Shade 3 rows blue, leaving one row unshaded as shown below:

Step 5: The intersection of the unshaded row and the unshaded column is the unit square, which represents 1. Count the number of shaded unit squares to find the product of 23 and 34,

which is: \($$23 \times 34= 782$$\)

Therefore, the correct option is D. 612 or 12.

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Answer:

Im pretty sure it is

1 1/2 sq ft per hour

3/4 in 2/4

Double it

1 2/4 in 1

Simplifies to 1 1/2

The unit rate that fertilizer cover is 3/2 square foot.

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A fertilizer covers 3/4 square foot in 1/2 hour.

So, unit rate fertilizer covers

= 3/4 x 2

= 3/2 square foot.

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Answer:

Let a be the smaller of the two primes.

Now the middle of 2 primes is always even. So the middle number a+1 is divisible by 2.

Next the smaller of the primes when divided by 3 can have remainders 1,2.

1 is ruled out as possible remainder because then the remainder of a+2, the bigger of the primes would be (a+2) mod 3=(1+2) mod 3=3 mod 3=0,a contradiction since a prime number(except 3) when divided by 3 cannot have 0 as remainder.

So 2 is the only possible remainder of a. So the remainder of the bigger of the two primes when divided by 3 is (a+2) mod 3= (2+2) mod 3=4 mod 3=1.

This implies the middle number must have remainder (a+1)mod 3=(2+1)mod 3=3 mod 3=0. So the middle number is divisible by 3 also.

Hence a+1 is divisible by both 3 and 2 and since 2 and 3 have no common factors, so the middle number is divisible by 6

Answer:

7/288

Step-by-step explanation:

Real size: 12 ft

Model size: 3.5 in.

12 ft * 12 in/ft = 144 in.

Scale factor:

(3.5 in.)/(144 in.) =

= 7/288

The scale factor of the given model is equivalent to K = 3.45

Direct variation of a quantity {y} with respect quantity {x} means that the value of {y} increases as the the value of {x} increases. Mathematically -

y = Kx

K = y/x

where -

{K} is scale factor. It also tells by how many times is {y} greater than {x}.

Given is that a dolphin in an aquarium is 12 feet long. A scale model of the dolphin is 3 ½ inches long.

We can write scale factor as -

K = (L₁/L₂)

K = 12/(7/2)

K = (12 X 2)/7

K = 24/7

K = 3.45

Therefore, the scale factor of the given model is equivalent to K = 3.45.

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Answer:

-3

Step-by-step explanation:

Answer:

Hey there!

Sine is equal to opposite/hypotenuse

Tangent is equal to opposite/adjacent

opposite=a

hypotenuse=b

adjacent=c

Thus, tangent x= a/c.

Hope this helps :)

Answer:

tan x = a/sqrt(b^2 - a^2)

Step-by-step explanation:

sin x = a/b = opp/hyp

tan x = opp/adj

adj^2 + opp^2 = hyp^2

adj^2 + a^2 = b^2

adj = sqrt(b^2 - a^2)

tan x = a/sqrt(b^2 - a^2)

Answer:

VUX and WXU

Step-by-step explanation:

Hope this helps!

Answer:

The first option.

Step-by-step explanation:

Alternate interior angles are the angles sandwiched together between the parallel lines and are on opposite sides of the line going through the parallel lines.

A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

What is a confidence interval?

A confidence interval (CI) is a range of values that, with a particular level of certainty, is likely to encompass a population value. A population mean that sits between an upper and lower interval is frequently stated as a percentage.

Here,

From the standard normal table, the z-critical value at 98% confidence interval is 2.33 so,

98%C.I. = µ ± z * σ /   n = 98.90 ± 2.33 * 42.30 / sqrt of 16  = 98.90 ± 24.64 = 74.26 to 125.54

The mean wake time of 102.80 minutes before the treatment due to the mean wake time of 102.80 minutes included in the 98% confidence interval which is between 74.26 and 125.54. Zopiclone does not appear effective.

Hence, A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

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Answer:

Each car magnet costs $4.95 and each pom-pom costs $0.425

The club spent $495 on 100 car magnets and $85 on 200 pom-poms.

Step-by-step explanation:

I guess that we have to calculate the price of pom-poms and how much money was spent purchasing car magnets and pom-poms.

x + y = 300

2x = y (now we replace y)

x + 2x = 300

3x = 300

x = 100

The club purchased 100 car magnets and 200 pom-poms.

To determine the price of each pom-pom:

($4.95 x 100) + 200P = $580

$495 + 200P = $580

200P = $85

P = $0.425

Answer:

8: 14 is the prime number

9: 15 is the composite number

Step-by-step explanation:

I hope this helped :)

Answer:

PRIME: 2, 17, 19, 27, 27

COMPOSITE: 14, 15, 51

Step-by-step explanation:

Hope this helps:)

Answer: 7350

Step-by-step explanation: 150 x 5 x 9.8 = 7350

The score that falls exactly in the middle of the distribution of scores after they have been ranked from highest to lowest is known as the median.

The median is a measure of central tendency that is calculated by arranging the data points in order from smallest to largest and then identifying the middle value.Therefore, it is the value that separates the highest from the lowest 50% of the data, making it an ideal measurement for skewed data.

The median is the value that is halfway between the upper and lower quartiles of a dataset when it is divided into four equal parts. This measurement is less sensitive to outliers and extreme values in comparison to the mean.

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Answer:

The answer is -2

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=1-(-7)/(-1)-3

m=8/-4

m=-2

The real distance between towns X and Y measuring 11.2 cm apart on a map with a scale 1: 100,000 is 11.2 km.

Given the scale = 1: 100,000, which means that 1 cm on the map represents 100,000. Thus, 11.2 cm on the map represents 11.2* 100,000 = 1,120,000cm.

We know that 1 km = 100,000cm

Therefore 1,120,000 cm = 1,120,000/100,000

= 11.2 km

Therefore, the real distance between towns X and Y is 11.2km.

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Option (A): "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed" is a false statement.

Now, amongst the considered options, "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed." (Option A) is not true, because:

As the degrees of freedom increases, the shape of the Chi-Square Distribution approaches a normal distribution and the graph of the Chi-Square Distribution looks more symmetrical.

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Answer:

B

Step-by-step explanation:

I checked it and it’s right hope this helps!

Answer:

6 packets

Step-by-step explanation:

3 x 8 = 24

24 / 4 =

6

Inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container is  8000 + 120C <= 27500

An inequality is a relationship that allows us to contrast two or more mathematical expressions.

Knowing that;

Each carton weighs 120 kg.

The container's maximum weight when loaded is 27500 kg.

Weight of the container as it is currently loaded: 8000 kg

Now that we have merged, we have;

Solution

because 8000 grams have already been loaded kilograms

into the container

each crate weighs 120 kilograms.

so 8000 + 120C <= 27500

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\(log_{(150):\) By default, a log without a base is assumed to be base 10. This evaluates to the power to which 10 must be raised to get 150. \(log10_{(150)\) ≈ 2.1761.

\(log5(625)\): This evaluates to the power to which 5 must be raised to get 625. Since \(5^4\)= 625, log5(625) = 4.

\(ln_{(-e):\) The natural logarithm is only defined for positive arguments. Thus, ln(-e) is undefined.

\(logg(85):\) The base of the logarithm is missing, making this expression invalid. Please provide the base.

\(ln(e^3)\)): This evaluates to the power to which the base e must be raised to get \(e^3.\)

Based on the fact that \(e^3 = e^3, ln(e^3) = 3.\)

\(log3_{(-10)\): Logarithms are only defined for positive arguments. Thus, \(log3_{(-10)\) is undefined.

\(log_{(150)\): By default, a log without a base is assumed to be base 10. This evaluates to the power to which 10 must be raised to get 150.

\(log10_{(150)\) ≈ 2.1761.

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Answer:its C

Step-by-step explanation:

I hoped i have helped u have an wonderful day or night