Scalar and Matrix Multiplication

Answer:

- 39

Step-by-step explanation:

Step 1:

2x + 6 = - 72         Equation

Step 2:

2x = - 78      Subtract 6 on both sides

Step 3:

x = - 78 ÷ 2         Divide

Answer:

x = - 39

Hope This Helps :)

Answer:

2x+6=-72

-6 -6

6 cancles out on the left side.

2x=-78

divide 2 on each side

66/2=-39

Answer: -7

Step-by-step explanation:

5x - 7 = 8x + 14 ->    5x = 8x + 21  ->   -3x = 21  ->   x = -7

8 1/4 pounds converted to ounces is 132 ounces. 1 pound is 16 ounces, so all you have to do is multiply the number of pounds by 16.

---

sorry if this doesn't help

Answer:

132

Step-by-step explanation:

Answer:

224 printers

Step-by-step explanation:

56computers×4printers per computer=224 printers

JJonathan spends $14.55 on muffins and cupcakes

Jonathan buys 3 muffins and 4 cupcakes, so we can calculate how much he spends on muffins by multiplying the price of one muffin by the number of muffins he buys:

1.85 * 3 = $5.55

And we can calculate how much he spends on cupcakes by multiplying the price of one cupcake by the number of cupcakes he buys:

2.25 * 4 = $9

To find the total amount of money Jonathan spends, we add the cost of the muffins to the cost of the cupcakes: 5.55 + 9 = $14.55

So, Jonathan spends $14.55 in total.

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Answer:-1

Step-by-step explanation:

It’s all about the work you put in to get your answer you have to subtract

Answer:

4

Step-by-step explanation:

Answer:2+2 = 4.............

The correct answer is not provided in the given options. The sun would not be visible at noon on December 21 in a city at 60°N latitude.

The angle of the sun above the horizon at noon on December 21 depends on the latitude of your city. Since you mentioned that you live at 60°N, we can determine the angle using some knowledge about the tilt of the Earth and the seasons.

On December 21, the winter solstice, the Northern Hemisphere is tilted away from the sun. This means that the angle of the sun above the horizon at noon is lower than on other days of the year.

To calculate the angle, we need to subtract the latitude of your city (60°N) from the tilt of the Earth (23.5°).

So, the angle of the sun above the horizon at noon on December 21 in your city would be:
23.5° - 60° = -36.5°

The negative sign indicates that the sun is below the horizon at noon on December 21. Therefore, the correct answer is not provided in the given options. The sun would not be visible at noon on December 21 in a city at 60°N latitude.

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Step-by-step explanation:

using the formula or so there a²+ b²= c²

so 18² + 80²= 82²

Let 't' be the time at which Andre catches up with Morgan.

We know by definition of distance that:

where 's' is the speed and 't' is the time.

In this case, the distance that Morgan travels in time t is:

Since Andre starts 2 hours late, we have that in his case, the expression would be:

Equating both expressions and solving for t, we get the following:

therefore, Morgan would have driven for 20 hours before Andre catches up to him

let the consecutive multiples be 7(n-1) , 7n and 7(n+1)

so 7(n-1)+7n+7(n+1)=777

or 3n=111,

n=37

252,259,266

\(7n+7n+7+7n+14=777\\21n=756\\n=36\\\\7n=252\\7n+7=259\\7n+14=266\)

252,259,266

Answer:

Step-by-step explanation:

Answer:

fourth root of 12*13^3          

-------------------------------- - 2

                13

Step-by-step explanation:

First focus on the 132/143 expression inside the 4th root function.

132/143 = 12/13

and so we have:

fourth root of 12/13 - 2

We must rationalize the denominator of the expression shown above.  In other words, 12/13 must be rewritten so that the denominator is the fourth power of 13.  To do this, multiply that 12 by 13^3 and that 13 by 13^3:

                        12*13^3                          

fourth root of { --------------  }

                           13^3*13

This simplifies to:

fourth root of 12*13^3          

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

                13

To obtain the final answer, subtract 2 as shown in the original problem:

fourth root of 12*13^3          

-------------------------------- - 2

                13

Answer:

(1/6)

Step-by-step explanation:

ℎ 1/6

Answer:

20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/v/converting-to-slope-intercept-form

Step-by-step explanation:

Answer:

Step-by-step explanation:

Standard is  ax + by = c so

3y - 15x +45 = 0

-15x + 3y = -45  <------- standard form

Slope intercept is y = ax + b

3y - 15x + 45 = 0

3y = 15x - 45

Divide through by 3:

y = 5x - 15.  <---- Slope.intercept.

Answer:

true

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

2/3 times 1/2 is equal to 1/3 and 1/3 times 1/2 is equal to 1/6 yea I'm pretty smart

Answer: A, B, C.

If the stack of cards are shifted so it is not straight, it still has everything the same.

Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos.

The Commedia is a famous literary work by Dante Alighieri, an Italian poet from the 14th century. It is divided into three books: Inferno, Purgatorio, and Paradiso. Each book consists of 33 cantos, making a total of 100 cantos in the entire work.

Inferno is the first book and depicts Dante's journey through Hell. It starts with Dante being guided by the Roman poet Virgil and encountering various sinners and punishments in the different circles of Hell.

Purgatorio is the second book and portrays Dante's ascent up Mount Purgatory, where souls undergo purification to reach Heaven. In this book, Dante is guided by Virgil and later by Beatrice, his beloved.

Paradiso is the final book and represents Dante's ascent to Heaven. In Paradiso, Dante is guided by Beatrice and encounters various heavenly spheres, learning about theology, cosmology, and the nature of God's love.

Each book explores different themes, symbolism, and allegorical representations. Dante's Commedia is renowned for its vivid imagery, complex allegories, and its profound exploration of moral, spiritual, and philosophical themes.

In conclusion, Dante's Commedia consists of three books, each containing 33 cantos, for a total of 100 cantos. It is a monumental work of Italian literature that delves into the realms of Hell, Purgatory, and Heaven, offering a rich exploration of various themes and ideas.

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Answer:

36

Step-by-step explanation:

f * √g = k

12 * √64 = k

k = ± 96

g = k² / f² = (± 96)² / 16² = 36

Answer:

g = 36

Step-by-step explanation:

Given f is inversely proportional to \(\sqrt{g}\) then the equation relating them is

f = \(\frac{k}{\sqrt{g} }\) ← k is the constant of proportion

To find k use the condition when f = 12 , g = 64 , then

12 = \(\frac{k}{\sqrt{64} }\) = \(\frac{k}{8}\) ( multiply both sides by 8 )

96 = k

f = \(\frac{96}{\sqrt{g} }\) ← equation of proportion

When f = 16 , then

16 = \(\frac{96}{\sqrt{g} }\) ( multiply both sides by \(\sqrt{g}\)

16 × \(\sqrt{g}\) = 96 ( divide both sides by 16 )

\(\sqrt{g}\) = 6 ( square both sides )

g = 6² = 36

The x- and y-coordinates of the center of mass are; (20, 0)

The center of mass is the location where the sum of the relative position of the masses in a mass distribution is zero. It is the point where force can be applied on the distributed mass without causing a rotation of the system.

The mas of the steel plate = 800 g = 0.8 kg

The base length of the isosceles triangular plate = 20 cm = 0.2 m

The height of the isosceles triangular plate = 30 cm = 0.3 m

Considering a small strip of height, dx and width, I, we get

Area of small strip, dA = I·dx

Density of the plate for a unit thickness, ρ = M/A

Density of the small strip of mass dm = dm/dA

Considering the density of the plate as uniform, we get;

\(\displaystyle {\frac{dm}{dA} =\frac{M}{A}\)

Therefore;

\(\displaystyle {dm=\frac{M}{A}\times dA}\)

The area of the triangular plate, A = (1/2) × 0.2 m × 0.3 m = 0.03 m²

Mass of the plate, M = 0.8 kg

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx}\)

The width of the small strip, I, located at a distance x from the vertex of the triangular plate, using similar triangles, indicates;

\(\dfrac{I}{20} = \dfrac{x}{30}\)

\(I=20\times \dfrac{x}{30} = \dfrac{2}{3} \cdot x\)

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx} = \frac{0.8}{0.03}\times \dfrac{2}{3} \cdot x\cdot dx}\)

The center of mass, \(x_{cm}\), can be obtained with the formula; \(\displaystyle {x_{cm} = \dfrac{1}{M} \cdot \int\limits {x} \, dm }\)

Therefore; \(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx }\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx } = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0\)

\(\displaystyle {x_{cm} = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0=\frac{200}{9} \times \frac{0.027}{3} =0.2\)

The location of the x-coordinate center of mass, \(x_{cm}\) = 0.2 m = 20 cm from the vertex, which is the same location as the x-coordinate of the centroid of the plate of uniform density.

The plate is symmetrical about the x-axis, therefore, the y-coordinate of the center of mass is along the x-axis, which is \(y_{cm}\) = 0

The coordinate of the center of mass = (0.2, 0)

Part of the question requires the location of the coordinate of the center of mass of the triangular plate

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Answer: 50

Step-by-step explanation:

Since angle B corresponds to angle Y, and the two triangles are congruent (since a reflection is a rigid motion), the measure of angle B = measure of angle Y = 50 degrees.

Answer:

monyet lol

Step-by-step explanation:

a

B

C

C

C

C

C

C COk

The conjugate of a complex number with a real part of -5 and an imaginary part of 4i is represented by :

C) -5 - 4i.

The conjugate of a complex number with a real part of -5 and an imaginary part of 4i can be found by changing the sign of the imaginary part. In this case, the imaginary part is 4i, so the conjugate will have a negative sign for the imaginary part.

The conjugate of the complex number is given by -5 - 4i. This means that if we have a complex number of the form -5 + 4i, its conjugate will be -5 - 4i. The conjugate of a complex number is important in various mathematical operations, such as complex number multiplication and division, as it helps simplify the expressions and eliminate the imaginary parts when needed.

Among the given options, option C) -5 - 4i represents the conjugate of the complex number with a real part of -5 and an imaginary part of 4i.

The correct question should be :

Which of the following expressions represents the conjugate of a complex number with a real part of -5 and an imaginary part of 4i?

A) 5

B) 4i

C) -5 - 4i

D) -5 + 4i

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A player has played 15 games at a local arcade and 10 games at an amusement park, with the belief that her mean score at the arcade is greater than her mean score at the amusement park.

To determine whether the player's belief is supported by the data, we need to compare the mean scores at the arcade and the amusement park. Let's assume the scores for the arcade games are: 10, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 28. And the scores for the amusement park games are: 8, 9, 10, 12, 14, 15, 16, 18, 19, 20.

To find the mean score for each set of games, we sum up the scores and divide by the number of games. For the arcade games, the sum is 334, and the mean score is 334 / 15 = 22.27. For the amusement park games, the sum is 141, and the mean score is 141 / 10 = 14.1.

Comparing the mean scores, we see that the mean score at the arcade (22.27) is indeed greater than the mean score at the amusement park (14.1). Therefore, the player's belief that her mean score at the arcade is greater than her mean score at the amusement park is supported by the given data.

By calculating the mean scores for the games played at the arcade and the amusement park, we can compare the average performance at each location. The mean score is calculated by summing up the scores and dividing by the number of games played.

In this case, the mean score at the arcade (22.27) is higher than the mean score at the amusement park (14.1), suggesting that the player performs better on average at the arcade. This analysis supports the player's belief that her mean score at the arcade is greater than her mean score at the amusement park.

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Answer:

$800

Step-by-step explanation:

5000 × 8% = $400(interest in a year)

400 × 2 = $800(24 months=2years)

Answer:

The square root of 16 is a rational number. The square root of 16 is 4, an integer.

Answer:

it is irrational

Step-by-step explanation:

but since the digits in π (pi) never end and never recur, there are no numbers to which is can be simplified that would allow for it to be written as a fraction. Therefore it is an irrational number.Mar 14, 2017