Solve -3(x-2)<8 or -3(x-2) > 12

Step-by-step explanation:

The equation is

X + 10205 = 21894

X = 21894 - 10205

X = 11689

Answer:

Some of the most lucrative jobs are all about math. Most engineering fields are all about sharp math skills, whether it’s civil and mechanical or software engineering. Working in finance also obviously involves a lot of math, and what better way to make money than working in the field that’s all about money? You can also become a statistician or actuary; it’s not easy to find good statisticians, despite the need for them. If you want to earn good money, then you do need good math skills.Then again, you could use math in life anyway.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

The triangles are similar so we can use ratios

8       32

---   = -----

8+5    32+x

Using cross products

8(32+x) = 32(13)

Divide each side by 8

(32+x) = 32(13)/8

32+x = 4*13

32+x =52

Subtract 32

x = 20

How to solve this:

1:     7200/24 = x/1

2:    7200/24 = 300/1

3:     300 L of blood per hour

We know that an average is 7200 for heart pumps so we divide 7200 by 24 hours = x/1  

Second step is the same 7200 divided by 24 = 300/1

So the correct answer is 300. 300 L of blood per hour.

Answer: 300 L of blood per hour.

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The rate of change in the volume of blood is 300 liters per hour.

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

The volume of blood pumped by the teenager's heart is expressed as a rate of change in volume per hour.

Rate of change of volume of blood = volume of blood/time

= 7200 L /24

Apply the division operation, and we get

= 300 L/hour

The teenager's heart changes blood volume at a pace of 300 liters per hour. This means that his or her heart is pumping 300 liters of blood every hour.

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Answer:

(5,6), (3, 6) and (3, 5).

Step-by-step explanation:

If we imagine the line y = x to be a mirror , the image of each point is the same perpendicular distance to the mirror has the original point.

So the image of (6,5) = (5,6)

(6, 3) ---> ( 3, 6)

(5,3) ---> (3, 5).

Note that the coordinates are reversed in each case.

In this case the general rule for the reflection is  (x, y)  ---> (y, x).

Answer:

Perpendicular: [tex]y = \frac{5}{8}x+4[/tex]

Parallel: [tex]y=-\frac{8}{5} x+RandomNumberNot4[/tex]

Step-by-step explanation:

I'm going to rewrite the equation:

[tex]y=-\frac{8}{5} x+\frac{4}{5}[/tex]

Perpendicular means that the slope is the opposite reciprocal.

Slope = [tex]\frac{5}{8}[/tex]

[tex]y = \frac{5}{8}x+4[/tex]

Parallel means that the slope is the same but the y - intercept is different:

[tex]y=-\frac{8}{5} x+RandomNumberNot4[/tex]

Answer:

(10x + 37) and (15x+7) are vertical angles which are always equal

10x + 37 = 15x +7

5x = 30

x = 6

The angle (15x +7) equals 97 and the other angle (10x + 37) also equals 97 degrees.  All 4 of the angles add up to 360 degrees.

Therefore, 360 = 2z + 97 + 97

2z = 166

z = 83

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](-14+\frac{3}{2}b)-(1+\frac{8}{2}b)=-14-1+\frac{3}{2}b-4b[/tex]

                                   = ([tex]-15-\frac{5}{2}b[/tex])

[tex](5+2b)+(2b+\frac{3}{2})=(5+\frac{3}{2})+(2b+2b)[/tex]

                             = [tex](4b+\frac{13}{2})[/tex]

[tex](\frac{7}{2}b-3)-(8+6b)[/tex] = [tex](\frac{7}{2}b-6b)-(3+8)[/tex]

                             = ([tex]-\frac{5}{2}b-11[/tex])

[tex](-10+b)+(7b-5)=(-10-5)+(b+7b)[/tex]

                               = [tex](8b-15)[/tex]

Answer:

1.4 mol

Step-by-step explanation:

                                2NaOH    +     H2SO4 ----->  Na2SO4 + 2H2O

from reaction          2 mol                                      1 mol

given                       2.8 mol                                    x

x = (2.8*1)/2 = 1.4 mol

Answer: b) rotation of 180°, reflection across y-axis

Step-by-step explanation:

The black triangle is in Quadrant IV.

A rotation of 180° will move it to Quadrant II.

The red triangle is in Quadrant I so  you must reflect it across the y-axis.

Answer:

Listing method is a method to list all the elements separating each element by the comma and enclosing

Step-by-step explanation:

Answer:

6 seconds

Step-by-step explanation:

- ( 6 - 2)^2 + 16

- (4)^2 + 16

- 16 + 16

= 0

The ball is hits the ground or is at 0 height when x = 6.

Answer:

x^3   +  3x^2    +   9x    +  27   +   88 / [x - 3]

Step-by-step explanation:

x ^4 + 7 by x - 3 x^3   +  3x^2    +   9x        +  27 x - 3  [  x^4  +   0x^3    +   0x^2    +   0x    +   7   ]. x^3  -    

3x^3 ________________________________ 3x^3   +     0x^2 3x^2  

-     9x^2 ______________ 9x^2      +   0x 9x^2

   -    27x ____________ 27x    +   7 27x  

 -  81 _________ 88 S

Answer:  So the result is :      x^3   +  3x^2    +   9x    +  27   +   88 / [x - 3]

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There are four 10 cards in the deck, so P(10) = 4/52 = 1/13

P(not 10) = 1 - P(10). This is because the maximum probability is 1, and the card you draw will either be 10, or not a 10.

P(not 10) = 1 - 1/13 = 13/13 - 1/13 = 12/13

Answer:

54ft squared

Step-by-step explanation:

All faces:

Front: 2*3/2=4.5f squared * 2 (other side)= 9ft squared

Sides: 10*3/2= 15ft squared * 2 (other side)= 30ft squared

Bottom: 3*10/2= 30/2= 15ft squared

=54 ft squared

Surface area of the triangular prism is 96 feet.

The area of a three dimensional object on it's outer surface is called the surface area of the object.

A triangular prism has 2 triangular bases and 3 rectangular lateral faces.

Area of a triangle = [tex]\frac{1}{2}[/tex] × base × height

There are 2 triangles at the top and bottom.

Here base = 3 feet and height = 2 feet

Total surface area on the top and bottom = 2 × [tex]\frac{1}{2}[/tex] × base × height

                                                                     = base × height

                                                                     = 3 × 2

                                                                     = 6 feet

There are 3 rectangular faces.

Area of the rectangle = Length × width

Here, length = 10 feet and width = 3 feet

Area of the rectangular face = 10 × 3 = 30 feet

Since there are 3 rectangular faces,

Total lateral surface area = 3 × 30 = 90 feet

Total surface area of the triangular prism = 90 + 6 = 96 feet

Hence the total surface area of the given triangular prism is 96 feet.

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Answer:

( x, y) is translation '2' units right and '6' units down

(x ,y))—> (x +2 ,y-6)

Step-by-step explanation:

Explanation:-

Type of transformation                            change to co-ordinate point

vertical translation up 'd' units                (x,y)  changes to  (x  , y+d)

vertical translation down 'd' units          (x,y)  changes to  (x  , y-d)

Horizontal translation left 'c' units          (x,y)  changes to  (x-c  , y)

Horizontal translation right 'c' units            (x,y)  changes to  (x+c  , y)

Now by use above table

given data  ( x, y) is translation '2' units right and '6' units down

(x ,y))—> (x +2 ,y-6)

Final answer:-

( x, y) is translation '2' units right and '6' units down

(x ,y))—> (x +2 ,y-6)

Answer: the correct answer is -8

Step-by-step explanation:

Substitute the given value of m into the expression:

-4|5 + (-3)|.

Then evaluate using the order of operations:

-4|5 + (-3)|

= -4|2|

= -4(2)

= -8

Substitute the given value of m into the expression:

-4|5 + (-3)|.

Then evaluate using the order of operations:

-4|5 + (-3)|

= -4|2|

= -4(2)

= -8

The first step in evaluating an expression is to substitute the given value of a variable into the expression. Then you can finish evaluating the expression using arithmetic.

A variable is a letter, for example, x, y, or z, that represents an unspecified number. To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.

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Answer:

Reason 1. Given

Statement 2. <CAD is congruent to <BAD

Reason 2. Definition of angle bisector

Statement 3. Segment AD is congruent to segment AD

Reason 4. All right angles are congruent

Reason 5. ASA

Answer: x = 5 and y=-6

Step-by-step explanation:

If we graph both equations, the interception is the point (5,-6). Therefore the solution for x is 5 and for y is -6.

Answer:

3

Step-by-step explanation:

Answer:

If the slope is positive, it signifies the function is increasing, and if it's negative, it's decreasing. If the slope is exactly 0, the function is stagnant, a horizontal line

Answer:

12

Step-by-step explanation:

A compound interest equation is represented as A = P(1 + r/n)^nt, where n=the number of times per year the interest is compounded. In the given equation, n=12.

Answer:

12

Step-by-step explanation:

Answer:

Any integer that is not integer multiple of 234 is not a solution.

Step-by-step explanation:

We are required to find the largest integer n such that 13a + 18b = n has no solution, where a and b are integers.

13a + 18b = n

For a = 1, b = 0

n = 13

For a = 0, b = 1

n = 18

So, for the solution sets (1, 0), (0, 1), n will always have a solutions.

Consider n = 13 × 18 = 234

This means that any integer that is not integer multiple of 234 is not a solution.

Answer:

Below

Step-by-step explanation:

8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/1

Answer:

niamah : jack

2 : 5

2×3 : 5×3

6 : 15

niamah gets 6 pencils

jack gets 15 pencils

*6+15 = 21

Answer:

Step-by-step explanation:

If the ratio of Niamah to Jack is 2:5, that means that for every 2 pencils that N gets, J gets 5. If there are a total of 21 pencils, then

2x + 5x = 21 and

7x = 21 so

x = 3.

That means that N gets 2(3) which is 6, and J gets 5(3) which is 15. Notice that 6:15 is the same ratio as 2:5 when it is reduced.

Answer:

X=2/5,8/3

Step-by-step explanation:

Look on Tiger Algebra for step by step. JUst put the problem into g-oogle.

Answer:

X=8/3,2/5

Step-by-step explanation:

Answer:

Simplify the f's variables -2.1

Simplify the numbers -19

-2.1f -19 is the answer

Answer-2.1f-24:

Step-by-step explanation:

Answer:

20. 13 cm

21. 12 cm

Step-by-step explanation:

20. isosceles means two sides are the same length, so you take the ten off the perimeter to get 26 remaining cm (36 -10) and you then divide that by two to get both sides of 13 cm (26 / 2)

21. because you know that if you split the triangle down the middle you get a right triangle and you can use a^2+b^2=c^2 to find the height, so we take the one side of 13 cm and half of the third side, which is 5, and you can find your answer (a^2 + 5^2 = 13^2   ---> a^2 + 25 = 169 ---> a^2 = 144 ---> a = 12)

Answer:

y = 6x + 1

Step-by-step explanation:

Use the point slope equation:

y - y1 = m( x - x1 )

y - 1 = 6 ( x - 0)

y - 1 = 6x

y = 6x + 1

Answer:

135 degree

Step-by-step explanation:

total sum of angle = (8-2) * 180 = 1080

each angle = 1080/8 = 135 degree

use the quotient rule then after using it the first time use it again on your resulting equation, since you are looking for the second derivative