What is the product of ( 7 − 3 i ) × ( 4 + i ) ?

Answer:

3

Step-by-step explanation:

Given

[tex]\frac{x^2-xy}{x^2+2y}[/tex] ← substitute x = 3 and y = - 2

= [tex]\frac{3^2-3(-2)}{3^2+2(-2)}[/tex]

= [tex]\frac{9+6}{9-4}[/tex]

= [tex]\frac{15}{5}[/tex]

= 3

===================================================

Work Shown:

1 liter = 1000 milliliters

1 spoon = 5 milliliters

200*(1 spoon) = 200*(5 milliliters)

200 spoons = 1000 milliliters

200 spoons = 1 liter

Notice how 1000/5 = 200, so that's why I multiplied both sides of the second equation by 200 to end up with what is shown above.

The slope-intercept form of an equation for the line of fit shown in the scatter plot is; C. y=1.13x-2233.63

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

We can observe that the line of best fit on this scatters plot passes through points (1997, 13) and (2005, 22).

Using the slope formula,

⇒ slope = (22 - 13)/(2005 - 1997)

⇒ slope = (9)/8

Also, the slope-intercept form of an equation for the line of fit shown in the scatter plot is;

y - 13 = (9)/8(x - 1997)

y = 1.13x  -2233.63

Therefore, the slope-intercept form of an equation is y = 1.13x  -2233.63

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Answer: 30.8

Step-by-step explanation:

Answer:

$22 increased by 40% is 30.80

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Find corresponding points on the original image and the translated image. Use their coordinates, or count grid squares, to see what the translation is.

Y increases when translation is upward.

X increases when translation is to the right.

__

Here, the figure is translated right 3 units and down 8 units.

Answer:

equation: 120=2(x+32)

x=28

Step-by-step explanation:

Answer:

SA = 360π in²

Step-by-step explanation:

The slant height l is the hypotenuse of the right triangle inside the cone.

Using Pythagoras' identity to find l

l² = 24² + 10² = 576 + 100 = 676 ( take the square root of both sides )

l = [tex]\sqrt{676}[/tex] = 26

Then

SA = πrl + πr²

      = (π × 10 × 26) + (π × 10²)

      = 260π + 100π

      = 360π in²

Step-by-step explanation:

2x 3x5 = 30 ÷ 3 = 10

hope this helps

0.78 L of solution divided into 8 dishes so 97.5 :)

Answer:

97.5

Step-by-step explanation:

im on the review and I clicked check answer and got it right

A. square root property

[tex]3x^2-192=0\\x^2-66=0\\x^2=66\\x= -\sqrt{66} or \sqrt{66}[/tex]

it has one value with x which is x^2 and it cn be easily solved without having to factorise, quadratic formula cant be used as it need ax^2+bx+c=0 format

B. factorising

[tex]x^2-x-6=0\\x^2+2x-3x-6=0\\(x+2)(x-3)=0\\x+2=0 and x-3=0\\x= -2 \\x= 3[/tex]

i just felt like this was easier to factorise than the other 2 options left

C. Completing the square

[tex]x^2-6x-7=0\\(x-3)^2=0\\x= -1\\x= 7[/tex]

same reason personal preference

D- Quadratic

[tex]x^2-17x-7=0\\x=\frac{-(-17)+\sqrt{(-17)^2-4(1)(-7)} }{2(1)} \\x=\frac{-(-17)-\sqrt{(-17)^2-4(1)(-7)} }{2(1)}\\x=17.4\\x=-0.402[/tex]

the 17 kinda threw me off and i didnt wanna get on factorising or doing completing the square so quadratic formal

Answer:

https://socratic.org/answers/327824 click on the link

Answer:

G = 46 degrees

Step-by-step explanation:

Here, we want to find the measure of angle G

Mathematically, as we can see, what we have is a right triangle

For a right triangle , the sum of angles is 90 degrees

Thus, if we add the two internal angles, we get 90 degrees

Hence;

44 + G = 90

G = 90-44

G = 46 degrees

Answer:

sorry I don't get the question

Step-by-step explanation:

Step-by-step explanation:

Chop it into shapes you know how to solve with:

Rectangle with dementions 6m x 3m A=18m^2

Rectangle with dementions 12m x (8-3)m A=60m^2

Rectangle with dementions 2m x 3m A=6m^2

total area= 18+60+6=84m^2

Peremeter:

12+6+2+(12-6-2)+3+3+8+8

=12+12+3+3+8+8

=24+6+16

=30+16

=46m

Answer: 2+2?

Step-by-step explanation: Yes

Answer:

51 minutes ???????????

Answer:

30 grams is the answer

As per the given data, the interquartile range of the kittens' weights is 60 g.

The interquartile range (IQR) is a measure of variability, based on dividing a data set into quartiles.

The IQR is the range between the first quartile (Q1) and the third quartile (Q3). It represents the range of the middle 50% of the data set.

To find the interquartile range (IQR) of the kittens' weights, we need to first find the median and the quartiles.

Find the median (Q2):

The median is the middle value when the data is arranged in order. In this case, we have an even number of data points, so we take the average of the two middle values:

100, 120, 140, 160, 180, 200

The middle values are 140 and 160, so the median is:

(Q2) = (140 + 160) / 2 = 150

Find the first quartile (Q1):

The first quartile is the middle value of the lower half of the data. To find Q1, we take the median of the lower half:

100, 120, 140

The median is 120, so Q1 is:

Q1 = 120

Find the third quartile (Q3):

The third quartile is the middle value of the upper half of the data. To find Q3, we take the median of the upper half:

160, 180, 200

The median is 180, so Q3 is:

Q3 = 180

Calculate the interquartile range:

The interquartile range is the difference between the third and first quartiles:

IQR = Q3 - Q1 = 180 - 120 = 60

Therefore, the interquartile range of the kittens' weights is 60 g.

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Answer:

52%

Step-by-step explanation:

Since there are 25 numbers in 1-25, you need to divide 100/25 which is 4.

There are 13 odd numbers in 1-25 so you need to multiply 13x4.

13x4=52

There is a 52% chance she will pick an odd number.

Answer:

48 people

Step-by-step explanation:

To find 20% of 60, you multiply 60 by .2 and get 12. Subtract 12 from 60, and 48 people were not wearing hats.

Answer:

A.58

Step-by-step explanation:

120/2=60

60+62=122

180-122=58

Answer:

5

Step-by-step explanation:

[tex]x^{2} +12^{2} = 13^{2} \\ x^{2} =13^{2} -12^{2} \\ x^{2} =169-144\\ x^{2} =25\\ \sqrt{x^{2} } =\sqrt{25} \\ x=5[/tex]

Answer:

1.5

Step-by-step explanation:

2 ft. / the number of sides for width (2) = 1 then 3 ft. / number of sides for length (2) = 1.5

1.5 x 1 = 1.5

Answer:

125

Step-by-step explanation:

5*5*5 = 15*5 = 125

Answer:

125

Step-by-step explanation:

Times 5 three times by itself

Answer:

80 degrees

Step-by-step explanation:

Answer:x=37

Step-by-step explanation:

2x+1=75, then you subtract 1 from each side, which will give you 2x=74, then you divide both by 2 and get x=37

Answer:

5(x-4) or 5(x-4)

Step-by-step explanation:

(not 100% sure though)

[tex]five \: times \: the \: difference \: of \: x [/tex]

[tex]and \: 4 \: represents \: 5(x - 4)[/tex]

Answer:

B. (-3, -7)

Step-by-step explanation:

Anytime you rotate a number 180° about the origin, the numbers in the coordinates become their opposites.

-3 is the opposite of 3 and -7 is the opposite of 7.

Therefore, your new coordinates are (-3, -7)

(x,y) becomes (-x,-y)

Answer:

1 1/2

Step-by-step explanation:

find the L W H and multiply it and divide by 1/4.

Hope this helps :)

The volume of the rectangular prism is 24 inches cube.

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of cuboid = length × height × width.

The volume of the cube = side³.

Given the rectangular prism with a bunch of small cubes whose volume is 1/4 inches³.

Number of small cubes = 8 × 4 × 3 = 96

The volume of the complete prism = Volume of 1 cube × the Number of small cubes.

The volume of the complete prism = 1/4 × 96

The volume of the complete prism = 26 inch³.

Hence "The volume of the rectangular prism is 24 inches cube".

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Answer:

20 ringgits.

Step-by-step explanation:

Ratio of $1:4 ringgits

5 * 4=20