If a = {6 6 4 7 -4 4 -6 9 -3} and B= {1 5 -8 9 -5 -8 9 -5 2}, find 3a +9B Matrix operations

Answer:

3

Step-by-step explanation:

75% is equal to 3/4

The easiest way to do this is to divide 12 by 4.

12/4 = 3

Now multiply this by three to get 3/4 of 12.

3 x 3 = 9

9 dogs left the shelter.

12 - 9 = 3

There are three dogs left.

The probability of getting head at least two times will be 11%

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability will be:-

Sample outcomes are { H,H,H,T,T,T}

Favourable outcomes are { H }

So the probability of getting at least two times head will be:-

P   =  (  1  /  3  )  x  (  1  /  3  ) = 0.11  =  11%

Therefore the probability of getting head at least two times will be 11%

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Answer:

The other persons explaition was difficult

Step-by-step explanation:

[tex]\text{Given that,}\\\\\theta =\tan^{-1} \left(\dfrac y x \right)\\\\\\\dfrac{\partial \theta}{\partial x} = \dfrac{\partial }{\partial x} \tan^{-1} \left(\dfrac yx \right)\\ \\\\~~~~~~=\dfrac{1}{1 +\tfrac{y^2}{x^2}} \cdot y \dfrac{\partial }{\partial x} \left(\dfrac 1x \right)\\\\\\~~~~~~=\dfrac{yx^2}{x^2 +y^2} \cdot (-1)x^{-2}\\ \\\\~~~~~~=-\dfrac{yx^2}{x^2(x^2 +y^2)}\\\\\\~~~~~~=- \dfrac{y}{x^2 +y^2}\\\\\\[/tex]

[tex]\dfrac{\partial^2\theta}{ \partial x^2} = -\dfrac{\partial }{ \partial x} \left( \dfrac{y}{x^2+y^2} \right)\\\\\\~~~~~~=-y\dfrac{\partial}{\partial x} \left(\dfrac 1{x^2 +y^2} \right)\\\\\\~~~~~~=y (-1)(-1) (x^2 +y^2)^{-2} \dfrac{\partial }{\partial x}(x^2 +y^2)\\\\\\~~~~~~=\dfrac{y}{(x^2 +y^2)^2} \cdot (2x+0)\\\\\\~~~~~~=\dfrac{2xy}{(x^2 +y^2)^2}[/tex]

[tex]\text{Similarly,}~~\\ \\\dfrac{\partial \theta}{\partial y }= \dfrac{x}{x^2 +y^2}\\\\\\\dfrac{\partial^2 \theta}{\partial y^2 } = -\dfrac{2xy}{(x^2 +y^2)^2}\\\\\\\text{Now,}\\\\\dfrac{\partial^2 \theta}{\partial x^2 }+\dfrac{\partial^2 \theta}{\partial y^2 }\\\\\\=\dfrac{2xy}{(x^2 +y^2)^2} -\dfrac{2xy}{(x^2 +y^2)^2}\\\\\\=0[/tex]

Answer:

  3

Step-by-step explanation:

To evaluate an expression with a particular value of the variable, put that value where the variable is and do the arithmetic.

__

  1/3(-6) +5 = -2 +5 = 3

For x = -6, the value of the expression is 3.

Answer:

The correct answer is 1/4 gallon.

Step-by-step explanation:

If we add all the fractions from the line plot, we will get 10/8 gallon.

10/8 divided by 5 is .25.

.25 converted to a fraction would be 1/4.

Hope this helps:) Goodluck!

Area

= 3 cm

[tex] \frac{1}{2} BH = 7,5 \\ \\ (\frac{1}{2} \times5)H=7,5 \\ \\ 2,5H = 7,5 \\ \\ H=7,5 \div 2,5 \\ H=3 \: cm[/tex]

The probability of selecting a card with a sunflower or butterfly design is 1/4, and the probability of selecting a card with a lily, daisy, puppy, or bird design is 1/2.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total outcomes = 4×8 = 32  (because 4 cards of 8 design)

The probability of selecting a card with a sunflower or butterfly design:

= 4/32  +  4/32

= 8/32 = 1/4

The probability of selecting a card with a lily, daisy, puppy, or bird design:

= 4(4/32)

= 1/2

The probability of selecting a card with a landscape design:

= 4/32 = 1/8

The probability of selecting a card with a dolphin, sunflower, or landscape design:

= 3(4/32)

= 3/8

Similarly, we can calculate the rest of the probability.

Thus, the probability of selecting a card with a sunflower or butterfly design is 1/4, and the probability of selecting a card with a lily, daisy, puppy, or bird design is 1/2.

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[tex]\sf \large \boxed{110 ^\circ}[/tex]

Answer:

y = 6

1/3 indicates that we may have to multiply the number by 3 to get the whole number. Multiply 3 by the part given, 2.

3 × 2 = 6

Answer:

[tex]\left[\begin{array}{ccc}38&28&66\\22&12&34\\60&40&100\end{array}\right][/tex]

Step-by-step explanation:

70% of 40 is 28, with that number you can obtain the other data.

What I got is in the image below.

I got the rest of the numbers by subtracting and adding. I also managed to find the 70% by multiplying 40 (I subtracted 60 and 100 to get the total number of people who don't watch sports) by 0.7, getting that 28 of people who don't watch sports liked pop music. From there, getting the rest of the numbers is just a whole lot of adding and subtracting. I subtracted 60 and 34 to get the number of people who watch sports and like pop, which is 26. I also added 26 and 28 to get the total of people who like pop, which is 56. To get 46 for total number of people who don't like pop, I subtracted 40 and 28 which equals 12 (number of people who don't watch sports but don't like pop), then added 34 + 12 to get 46.

Answer: y = -2x - 4

Step-by-step explanation:

This question asks that you give your answer in slope-intercept form, which is written as y = mx + b, where m is the slope, and b is the y-intercept.

In order to write an equation for this line in slope-intercept form, you need to find the slope and the y-intercept. You can find the slope by selecting any two clear points on the graph and finding the [change in y] ÷ [change in x].

For example, I’ll use (-3, 2) and (-2, 0):

Change in y: 2 - 0 = 2

Change in x: -3 - (-2) = -1

Change in y ÷ Change in x = 2 ÷ (-1) = -2

So, the slope, m, is -2. Finding b, or the y-intercept is a lot more straightforward; you just find where the line intercepts the y-axis, or when x = 0. Looking at the graph, we can see that the y-intercept is -4, so b = -4.

Now, we can put these together in an equation.

y = mx + b, where m = -2 and b = -4

y = -2x -4

Answer:

x-2

x+9

Step-by-step explanation:

Answer:

[tex]\frac{x-2}{x+9}[/tex]

Step-by-step explanation:

Factorizing Fraction 1

Factorizing Fraction 2

Now, multiply the fractions :

Answer:

5, 18, 44, 96, 200

Step-by-step explanation:

Given

First term : 5

Second term : a₂ = 2(a₁ + 4)

Third term : a₃ = 2(a₂ + 4) = 2(18 + 4) = 2(22) = 44

Fourth term : a₄ = 2(a₃ + 4) = 2(44 + 4) = 2(48) = 96

Fifth term : a₅ = 2(a₄ + 4) = 2(96 + 4) = 2(100) = 200

Hence, the first 5 terms of the sequence are :

Answer:

5, 18, 44, 96, 200

Step-by-step explanation:

[tex]\textsf{Given sequence}: \quad a_n=2(a_{n-1}+4)[/tex]

[tex]\textsf{Given first term}: \quad a_1=5[/tex]

[tex]\implies a_1=5[/tex]

[tex]\implies a_2=2(a_{1}+4)=2(5+4)=2(9)=18[/tex]

[tex]\implies a_3=2(a_{2}+4)=2(18+4)=2(22)=44[/tex]

[tex]\implies a_4=2(a_{3}+4)=2(44+4)=2(48)=96[/tex]

[tex]\implies a_5=2(a_{4}+4)=2(96+4)=2(100)=200[/tex]

Answer:

180 feet

Step-by-step explanation:

Starting number is 300.  Four moves of 30 feet is 120 feet.

30x4 = 120

300-120 = 180

Answer:

180 feet.

Step-by-step explanation:

Remark

You need some formal way of expressing what is happening. You start at 300 feet below sea level, and make make 4 moves of 30 feet each. Where are you and how much further do you have to go to reach the surface?

Equation

Distance to go = distance in feet below sea level - number of moves *  feet / move.

Givens.

original distance below sea level = 300 feet.

number of moves = 4

distance towards the surface for each move = 30  feet.

Distance to go. = ?

Solution

Distance to go = 300  - 4*30

Distance to go = 300 - 120

Distance to go = 180 feet

Answer:

294 yd²

Step-by-step explanation:

a cube has 6 congruent square faces.

the area of 1 face = 7 × 7 = 49 yd²

then surface area = 6 × 49 = 294 yd²

The Cost of Carl's first item is 3.95. The Cost of his second item is 4.95. To find the total amount we need to add these two numbers together.

3 plus 4 is 7

95 cents plus 95 cents is 1.90

7+1.90 is 8.90

The total cost is $8.90

Hope this helps!

                                    _____

Step-by-step explanation:

[tex] \frac{5x}{2} + \frac{9}{5} = 25 \\ \frac{25x + 18}{10} = 25 \\ 25x + 18 = 250 \\ \frac{250 - 18}{25} = x \\ x = \frac{232}{25} [/tex]

hope it helps

Please refer to the attachment

The selection of a random number from 1 - 72 is an illustration of probability, and the probability of selecting a multiple of 9 is 1/8

The sample size is given as:

n = 72

There are 8 multiples of 9 from 1 to 72.

So, the probability that a multiple of 9 is selected is:

P(Multiple of 9) = 8/72

Simplify

P(Multiple of 9) = 1/9

Hence, the probability of selecting a multiple of 9 is 1/8

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Answer:

4 and 5

Step-by-step explanation:

Assuming your 2nd sentence should be: "The sum of the squares of the two numbers is 41"

X + Y = 9   {equation 1}

X² + Y² = 41  {equation 2}

from equation 1:  y = 9-x

Substitute that into equation 2

x² + (9-x)² = 41

x² + 81 - 18x + x²= 41

2x² - 18x + 40 = 0

We can factor out a 2

x² - 9x + 20 = 0

(x-5)(x-4) = 0

x = 5 or 4

checking

Your two numbers are 4 and 5

4² + 5² 

= 16 + 25

= 41

Answer: Subtract

Step-by-step explanation: Subtract 237 from 224.

Answer:

74. 25

Step-by-step explanation:

   After dropping the 224 you're going to subtract it from 237 which equals 13. With that said, you're going to bring down the 6. From there, it would be 136 divided by 32 which is 4.25. So you're answer is 74 with a remainder of 25.

Answer:

13(1+2)

Step-by-step explanation:

13(1)+13(2)=13+26

The GCF of 13, 26 is 13.

Answer:

12 cakes.

Step-by-step explanation:

There are 21/3 = 7 slices  from each cake.

84 / 7   = 12.

Answer:

B) 1/4 gallon

Step-by-step explanation:

There is 5/8 in a jug

[tex]\sf \dfrac{5}{8}=\dfrac{2}{8}+\dfrac{1}{8}+\dfrac{1}{8}+\dfrac{1}{8}[/tex]

There are 3 jugs containing (1/8). To these jugs 1/8 of the juice from (5/8) is poured.

So, now all the jugs will have (2/8) = 1/4

The following statements are true concerning the values described in columns #1 and column #2. B. The value found in column #1 is less than the value found in column #2.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree

The equation of curve 1, which is in the shape of a parabola is, when represented in general form

[tex]y = -2x^2 - 4x + 12\\\\y = -2(x^2 - 2x + 6)\\\\\dfrac{y}{-2} = (x^2 - 2x + 6)\\\\\dfrac{y}{-2} +7=(x+1)^2[/tex]

So,

x+1=0

x= -1

and,

y = 14

Therefore, the Coordinate of a vertex is (-1,14).

The x-coordinate of the vertex of the function [tex]y = -2x^2 - 4x + 12[/tex] is equal to -1.

The equation of curve 2 , which is in the shape of a parabola is , when represented in general form

[tex]y = x^2 - 4x + 3\\\\y =( x-2)^2-1\\\\y+1 =( x-2)^2[/tex]

So,

x-2=0

x= 2

and, y+1=0

y= -1

Therefore, the Coordinate of a vertex is (2,-1).

The x-coordinate of the vertex of the function [tex]y = x^2 - 4x + 3[/tex] is equal to 2.

The following statements are true concerning the values described in columns #1 and column #2. B. The value found in column #1 is less than the value found in column #2.

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Answer:

Step-by-step explanation:

next multiply 12 and 35. and get 420

finally subtract the two and get 345

Answer:

V≈25.13in³

Step-by-step explanation: