if one song is $50 and i have $17000 how many songs can i buy​

Answer:

6,048

Step-by-step explanation:

l=3w

3w + 3w + w +w =96

8w =96

w=12

l= 36

12×36×14 = 6,048

Answer:

it's 342

Step-by-step explanation:

you have to use the solve the sum and add long numbers using the addition

The fraction of cake left with Bobby is 5/8.

Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.

Given that, Bobby has 3/4 of a cake. He shared 1/8 slice with Morgan.

Slice of cake left = 3/4 -1/8

= 6/8 -1/8

= 5/8

Therefore, the fraction of cake left with Bobby is 5/8.

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When rolling two dice the possible outcomes are:

Probability is calculated as follows:

There is a total of 6x6 = 36 possible outcomes. From the table, we can see that 5 of them are a 6 and 3 of them are a 10. Then, the number of favorable outcomes is 5 + 3 = 8. Therefore, the probability of winning on your next turn is:

The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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ok so you have to take out c beacsue ########

Step-by-step explanation:

the surface areas are always the sum of the areas of the individual sides and base area.

so, all we need to do here is calculating the areas of triangles, rectangles (actually squares) and a hexagon.

the area of a triangle is

baseline × height / 2

or with Heron's formula when we have all sides

s = (a+b+c)/2

area = sqrt(s×(s-a)×(s-b)×(s-c))

the area of a rectangle is

length × width

for a square that is then

side × side = side²

and the area of a regular hexagon can be created again as sum of multiple sub-shapes. but ultimately it is

3 × sqrt(3) × side² / 2

1.

square base area : 10×10 = 100 cm²

lateral areas :

one triangle is 10×13/2 = 65 cm²

4 triangles are then 4×65 = 260 cm²

total surface area :

100 + 260 = 360 cm²

2a.

3 lateral triangles :

3 × 8×10/2 = 120 units²

base area (Heron's, as all 3 sides are 8 units) :

s = 3×8/2 = 12

area = sqrt(12×4×4×4) = sqrt(3×4×4×4×4) = 16×sqrt(3)

total surface area :

120 + 16×sqrt(3) = 147.7128129... units²

2b.

4 lateral triangles :

4 × 8×10/2 = 160 units²

base area : 8×8 = 64 units²

total surface area :

160 + 64 = 224 units²

2c.

6 lateral triangles :

6 × 8×20/2 = 480 units²

base area :

3×sqrt(3)×8²/2 = 96×sqrt(3)

total surface area :

480 + 96×sqrt(3) = 646.2768775... units²

2d.

base area : 16² = 256 units²

4 lateral triangles. but we need to get their height first.

Pythagoras :

(16/2)² + 24² = height²

8² + 24² = height²

64 + 576 = height²

height² = 640

height = sqrt(640) = sqrt(64×10) = 8×sqrt(10)

4 triangles are

4 × 16×8×sqrt(10)/2 = 256×sqrt(10) units²

total surface area :

256 + 256×sqrt(10) = 256×(1 + sqrt(10) = 1,065.543081... units²

The driver's percent value-added time is approximately 18.57%.

The percent value-added time, we need to consider the total time spent in non-value-added activities (waiting in line, eyes tested, and photograph taken) compared to the total time spent, including value-added activities.

Total time spent = Time in line + Time for eyes test + Time for photograph = 57 minutes + 9 minutes + 4 minutes = 70 minutes

Value-added time = Time for eyes test + Time for photograph = 9 minutes + 4 minutes = 13 minutes

Percent value-added time = (Value-added time / Total time spent) * 100

= (13 minutes / 70 minutes) * 100

≈ 18.57%

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The amount of yellow paint Curt and Melanie should use is 0.45 quarts so that they can make 1.5 quarts bucket of seafoam green paint.We can use per cent equation.

Given that to make 1.5 quarts bucket of seafoam green paint Curt and Melanie have to mix 70 parts blue paint and 30 parts yellow paint.If 100 percent represent total paint then for 1.5 quarts we have to find the proportion of yellow paint.Let it be x.

30%  / 100% =30 / 100 = x / 1.5 quarts.

We can reduce the equation further,

0.3  = x / 1.5.

0.3 * 1.5 = x

x = 0.45

We can also find blue paint proportion similar by substituting 30 per cent to 70 per cent.

As a result of our calculation, we found the amount of yellow paint to be 0.45 quarts.

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Planck's law and Wien's displacement law are both used to explain and describe the behavior of electromagnetic radiation in a body. The plain glass would transmit 1.98 times more solar energy than the tinted glass. The total blackbody emissive power is 127 W. The total amount of radiation emitted by the ball in 5 min is 38100 J. The spectral blackbody emissive power at a wavelength of 3μm is 1.85 × 10-8 W/m3.

(a) Planck's law and Wien's displacement law are both used to explain and describe the behavior of electromagnetic radiation in a body.

Planck's law gives a relationship between the frequency and the intensity of the radiation that is emitted by a blackbody. This law describes the spectral density of electromagnetic radiation emitted by a black body in thermal equilibrium at a given temperature.

Wien's displacement law relates the wavelength of the maximum intensity of the radiation emitted by a blackbody to its temperature. The law states that the product of the wavelength of the maximum emission and the temperature of the blackbody is a constant.

Both laws play an important role in the study of radiation and thermodynamics.

(b) The amount of solar energy transmitted through plain and tinted glass can be compared using the spectral transmissivity of each.

The spectral transmissivity is the fraction of incident radiation that is transmitted through the glass at a given wavelength. The solar spectrum is roughly between 0.3 and 2.5 micrometers, so we can calculate the total energy transmitted by integrating the spectral transmissivity over this range.

For plain glass:

Total energy transmitted = ∫0.3μm2.5μm Tλ dλ
= ∫0.3μm2.5μm 0.9 dλ
= 0.9 × 2.2
= 1.98

For tinted glass:

Total energy transmitted = ∫0.5μm1.5μm Tλ dλ
= ∫0.5μm1.5μm 0.9 dλ
= 0.9 × 1
= 0.9

Therefore, the plain glass would transmit 1.98 times more solar energy than the tinted glass.

(c) (i) The total blackbody emissive power can be calculated using the Stefan-Boltzmann law, which states that the total energy radiated per unit area by a blackbody is proportional to the fourth power of its absolute temperature.

Total blackbody emissive power = σT4A
where σ is the Stefan-Boltzmann constant, T is the temperature in Kelvin, and A is the surface area.

Here, the diameter of the ball is given, so we need to calculate its surface area:

Surface area of sphere = 4πr2
where r is the radius.

r = 10 cm = 0.1 m

Surface area of sphere = 4π(0.1 m)2
= 0.04π m2

Total blackbody emissive power = σT4A
= (5.67 × 10-8 W/m2 K4)(800 K)4(0.04π m2)
= 127 W

(ii) The total amount of radiation emitted by the ball in 5 min can be calculated by multiplying the emissive power by the time:

Total radiation emitted = PΔt
= (127 W)(5 min)(60 s/min)
= 38100 J

(iii) The spectral blackbody emissive power at a wavelength of 3μm can be calculated using Planck's law:

Blackbody spectral radiance = 2hc2λ5ehcλkT-1
where h is Planck's constant, c is the speed of light, k is Boltzmann's constant, T is the temperature in Kelvin, and λ is the wavelength.

At a wavelength of 3μm = 3 × 10-6 m and a temperature of 800 K, we have:

Blackbody spectral radiance = 2hc2λ5ehcλkT-1
= 2(6.626 × 10-34 J s)(3 × 108 m/s)2(3 × 10-6 m)5exp[(6.626 × 10-34 J s)(3 × 108 m/s)/(3 × 10-6 m)(1.38 × 10-23 J/K)(800 K)]-1
= 1.85 × 10-8 W/m3

Therefore, the spectral blackbody emissive power at a wavelength of 3μm is 1.85 × 10-8 W/m3.

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The camera with the square hole of the same area as the round hole in the first camera may produce a slightly different image with sharper edges and corners, but potentially with some distortion or unevenness compared to the image produced by the camera with the round hole.

The pinhole cameras you describe are basic examples of camera obscuras, where a small hole in a light-tight enclosure allows light to pass through and project an inverted image of the outside world onto a surface inside the enclosure. The size and shape of the hole can affect the quality and characteristics of the projected image.

In general, a smaller hole (i.e., a smaller aperture) will produce a sharper image with greater depth of field, but will require a longer exposure time and result in a dimmer image. A larger hole will produce a brighter image with shorter exposure times, but will have a shallower depth of field and potentially more distortion.

As for the shape of the hole, a round hole tends to produce a more uniform and symmetrical image, while a square hole can produce sharper edges and corners, but may introduce some distortion or unevenness in the image.

Therefore, the camera with the square hole of the same area as the round hole in the first camera may produce a slightly different image with sharper edges and corners, but potentially with some distortion or unevenness compared to the image produced by the camera with the round hole. However, the overall quality and characteristics of the image will depend on many factors beyond just the shape of the aperture, such as the size of the enclosure, the distance between the hole and the projection surface, and the properties of the projection surface and lighting conditions.

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The minimum value of the given equation is 5.

The minimum value of the expression x² + y² - 6x + 4y + 18 for real x and y can be found using the method of completing the square.

To find the minimum value of x² + y² - 6x + 4y + 18, we need to convert the expression to the standard form of a quadratic expression.

First, let's collect the like terms: x² - 6x + y² + 4y + 18

Now, let's complete the square for the x terms: x² - 6x = (x - 3)² - 9

And, let's complete the square for the y terms: y² + 4y = (y + 2)² - 4

Now, let's substitute these back into the original expression:x² + y² - 6x + 4y + 18 = (x - 3)² - 9 + (y + 2)² - 4 + 18= (x - 3)² + (y + 2)² + 5

Now, we can see that the minimum value of this expression is 5, which is obtained when (x - 3)² = 0 and (y + 2)² = 0, i.e., when x = 3 and y = -2. Therefore, the minimum value of the expression is 5.

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The inverse tangent of 0.9 is approximately 42.0 degrees.

Therefore, the correct answer is option C: 42.0⁰.

The inverse tangent, also known as arctangent, is a trigonometric function that gives the angle whose tangent is a given number. In this case, we want to find the inverse tangent of 0.9.

Using a calculator or reference table, we can find that the inverse tangent of 0.9 is approximately 42.0 degrees.

To understand why this is the case, we can consider the definition of the tangent function. The tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle in a right triangle. The inverse tangent function reverses this relationship, giving us the angle when we know the tangent value.

In the case of 0.9, we can imagine a right triangle where the length of the side opposite the angle is 0.9 and the length of the side adjacent to the angle is 1. The inverse tangent of 0.9 tells us the angle that satisfies this relationship.

So, the inverse tangent of 0.9 is approximately 42.0 degrees.

Therefore, the correct answer is option C: 42.0⁰.

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Answer:

Step-by-step explanation:

sheee i dont know man

Answer:

true!

Step-by-step explanation:

hi, this graph is a function because it passes the vertical line test. there are no x-values with 2 y-values for the same x.

the power consumed by the device at t = 1 s is approximately 437.071 mW.

To calculate the power consumed by the device at t = 1 s, we need to multiply the voltage and current at that time.

Given:

v(t) = 27 sin(4t) V

I(t) = 12(1 + e^(-2t)) mA

At t = 1 s, we substitute t = 1 into the expressions for voltage and current:

v(1) = 27 sin(4 * 1) = 27 sin(4) ≈ 24.328 V

I(1) = 12(1 + e^(-2 * 1)) = 12(1 + e^(-2)) ≈ 17.944 mA

The power P(t) consumed by the device at any given time t is given by the product of voltage and current:

P(t) = v(t) * I(t)

Substituting the values at t = 1 s:

P(1) = v(1) * I(1)

≈ 24.328 V * 17.944 mA

≈ 437.071 mW

Therefore, the power consumed by the device at t = 1 s is approximately 437.071 mW.

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Answer:

1/10, 3/10, 0.9

Step-by-step explanation:

Convert to decimals.

1/10 = 0.1

0.9

3/10 = 0.3

Arrange from least to greatest.

0.1, 0.3, 0.9

1/10, 3/10, 0.9

Answer:

HELLO CARA IT'S ME CONNIE, I MISS U SO MUCH!! <33

Answer:

Yes, each x-value is paired with exactly one y-value (no more than that)

Domain: x = -2, x = 1, x = 4, x = 7

Range: y = -3, y = 5, y = 6

No, the inverse is not a function, the x value of 6 would be paired with two y values (-2 and 7)

Answer:

∴ x = 10

Step-by-step explanation:

Since (x, 3) is the solution to the provided equation, then x = x and y = 3.

Substitute y = 3 into equation 5x - 2y = 44:

5x - 2(3) = 44

        5x = 50

       ∴ x = 10

When domain is 10, range of the function y = x - 6 is 4.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values. In order to identify the values of the independent variable x and acquire the domain, we merely solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).

Given

The range of y=x-6

domain "-10," "-5,0,7"

When domain is 10

Range

y = x - 6

y = 10 - 6

y = 4

When domain is 10, range of the function y = x - 6 is 4.

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Answer:

Answer = 37

Step-by-step explanation:

= (5)² + (2)³ + (4)¹

= 25 + 8 + 4

= 37 Answer

Answer: The answer is 37

Step-by-step explanation:

Step 1: Use Negative Power Rule: x^-a=1/x^a. So 1/(1/5)^2+(1/2)^-3+(1/4)^-1

Step 2: Use Division Distributive Property: (x/y)^a=x^a/y^a. So 1/1/5^2+(1/2)^-3+(1/4)^-1

Step 3: Simplify 5^2 to 25. So 1/1/25+(1/2)^-3+(1/4)^-1

Step 4: Use Negative Power Rule: x^-a=1/x^a. So 1/1/25+1/(1/2)^3+(1/4)^-1

Step 5: Use Division Distributive Property: (x/y)^a=x^a/y^a. So 1/1/25+1/1/2^3+(1/4)^-1

Step 6: Simplify 2^3 to 8. So 1/1/25+1/1/8+(1/4)^-1

Step 7: Use Negative Power Rule: x^-a=1/x^a. So 1/1/25+1/1/8+1/1/4

Step 8: Invert and multiply. 25+1/1/8+1/1/4

Step 9: Invert and multiply. 25+8+1/1/4

Step 10: Invert and multiply. 25+8+4

Step 11: Simplify 25+8 to 33. So 33+4

Step 12: Simplify. So the answer is 37

Answer: 1/45

Step-by-step explanation:

From thw question, we are told that there are:

Yellow marbles =2

Pink marbles =3

Blue marbles = 5

Total marbles = 2+3+5 = 10

The probability of drawing the first yellow ball will be= 2/10

Since the ball is not replaced, that means there will be 9 balls left and 1 yellow ball left. Therefore, the probability of drawing the second yellow ball will be = 1/9

The probability of drawing two yellow balls if they're not replaced will now be:

= 2/10 × 1/9

= 2/90

= 1/45

Answer:

a. 4×2 = 8

b. E = 120

c. F = 400

There were 16 ounces of oil in the lantern at noon.

Let's start by defining the variables we know. We'll call the amount of oil in the lantern at noon "x," the rate at which the oil burns "r," and the time elapsed from noon to 2 pm "t." We know that the amount of oil in the lantern at 2 pm is 12 ounces, and at 4 pm, it's 8 ounces.

We can use the rate of oil burning to create an equation relating the amount of oil in the lantern to the time elapsed. The equation is:

x - rt = y

where "y" is the amount of oil in the lantern at any given time after noon. We can solve for "x" by plugging in the values we know at 2 pm:

x - 2r = 12

And at 4 pm:

x - 4r = 8

Now we have two equations with two variables. We can solve for "r" by subtracting the second equation from the first:

2r = 4

r = 2

Now we can plug in "r" to one of the equations to solve for "x." Let's use the first equation:

x - 2(2) = 12

x - 4 = 12

x = 16

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In quadrant IV, \(\cos(A)\) is positive. So

\(\sin^2(A) + \cos^2(A) = 1 \implies \cos(A) = \sqrt{1-\sin^2(A)} \approx 0.6258\)

Then by the definition of tangent,

\(\tan(A) = \dfrac{\sin(A)}{\cos(A)} \approx \dfrac{-0.78}{0.6258} \approx \boxed{-1.2465}\)

Answer:

it will take 20 minutes for all the pretzels to be gone

Step-by-step explanation:

you can multiply 25 times 20 you get 500

hope this helps!

Answer:33.1

Step-by-step explanation: 3.61 × 10-3 =33.1

Step-by-step explanation:

429 × 10⁷

hopefully it will help you

The students who has the method that is most representative of the school’s population is Amir.

Population refers to the group of people being studied in an experiment or the group from which a sample is drawn.

Amir has the method that is most representative of the school’s population because the method includes all students in the school studying different subjects but picked at random (every tenth students)

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