Using scientific notation, what is the solution to (5.4 * 105) - (1.2 * 103)?


5.412 * 105


5.388 * 102


5.388 * 103


5.388 * 105

Answer:

6

Step-by-step explanation:

s=9, t=12

2s-t = 2*9 -12 = 18 -12 = 6

Answer:

the answer is 6

Step-by-step explanation:

Because you do 2 times 9 = 18 then 18 - 12 = 6

Answer:

Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.

Answer:

1. is Line C

2. is line A

(slope, y-intercept)

4. (1, 4)

6. (-5/7, -2)

8. (6, 2)

9. (1/2, -7)

10.

a) you've already done this

b)-4200

c)21000

d) 5

11.

draw a line between the intercepts and add arrows to each end to graph the line easily

y- intercept is -6 ( at 0, -6)

x intercept is 2 ( at 2, 0)

Answer:

c

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

Weight of an apple = twice of the weight of a lemon

Weight of an apple = 2(weight of a lemon)

x = 2y ------(1)

x = weight of an apple

y = weight of a lemon

Number of apples in a box = 16

Weight of the apple box (A) = 16x

Number of lemons in another box = 24

Weight of the lemon box (B) = 24y

Therefore, [tex]\frac{A}{B}=\frac{16x}{24y}[/tex]

[tex]\frac{A}{B}=\frac{2x}{3y}[/tex]

[tex]\frac{A}{B}=\frac{2(2y)}{3y}[/tex] [From equation (1)]

[tex]\frac{A}{B}=\frac{4y}{3y}[/tex]

[tex]\frac{A}{B}=\frac{4}{3}[/tex]

Option A will be the correct option.

Answer:

9x^6 over 4y^8

Step-by-step explanation:

Answer:

E. 9x^6 / 4y^8

Step-by-step explanation:

Use exponent rule: a^-b = 1/a^b

Answer:

The percentage decrease = 0.9%

Step-by-step explanation:

Using the formula

Percentage Decrease = [ (Initial Value - Final Value) / |Initial Value| ] × 100

                                    = [(9.80 - 9.71 ) / (9.80)] × 100

                                    = [0.09 / 9.80] × 100

                                    = 0.009 × 100  

                                    = 0.9%

Therefore, the percentage decrease = 0.9%

Answer:

x = 15

Step-by-step explanation:

137+28=165

All angles in a triangle add up to 180

So 180-165 = 15

15 = x

Answer:

x ≠ 5

Step-by-step explanation:

x ≠ 5

The reason for this is because if we use the input 5, this will be the result:

f(x) = 3/(5) - 5

f(x) = 3/0 = Undefined

The line perpendicular to the line y = 2/3x + 4 is 4) y = -3/2x + 4.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

The given equation of a line in slope-intercept form is y = (2/3)x + 4.

Now, We know lines perpendicular to each other have slopes that are negative reciprocal to each other.

If one line has a slope of 'm' the line perpendicular to it will have slope

(-1/m).

Therefore, From the given options the line y = -(3/2)x + 4 is the line perpendicular to the line y = (2/3)x + 4.

learn more about lines and slopes here :

https://brainly.com/question/16180119

#SPJ2

Answer:

C. y=4x+13

Step-by-step explanation:

To solve this equation first find the slope. Do this by using the slope formula, m=[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], so plug in the points[tex]\frac{1+3}{-3+4}[/tex] which equals 4/1 or 4. Since now we know the slope is 4 we can put the equation into slope-point form, I will be using (-4,-3) for this equation. y+3=4(x+4), then solve for y. After solving you get y=4x+13.

Answer:

4

Step-by-step explanation:

7+7+7+7 or 28/7 =4

Answer:

the answer to that is 5 laps per day

Step-by-step explanation:

15 laps ÷ 3

3 days ÷3

5 laps

=

1 day

5 laps=days

Answer:

28

Step-by-step explanation:

-3 * (x-11) = -51

x-11 = 17

x = 28

Answer:

Umm !! it's 260

Step-by-step explanation:

Hope I'm right ?!!!!?!??

Answer:

Sales tax is $2.73. Making the total $41.73

Answer:

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

It is $2.73 because 7% of $39 = 2.73 or [tex]\frac{273}{100}[/tex] according to Desmos.

[tex]--------------------------------------------[/tex]

$39 + $2.73 = $41.73 = Total

[tex]--------------------------------------------[/tex]

The sales tax is $2.73

[tex]--------------------------------------------[/tex]

The total is $41.73

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

Answer:

I think c is the answer....

Answer:

28.26 cm^2

Step-by-step explanation:

A = (pi)r^2

A = 3.14 * (3 cm)^2

A = 3.14 * 9 cm^2

A = 28.26 cm^2

1,-4 sorry if wrong :(

Step-by-step explanation:

1.3x+2y=13

3x+2y+-2y=13+-2y

3x=-2y +13

3x/3=2y+13/3

The answer is x= -2/3 y+13/3

2.x= -2/3 y+ -1/3 z +13/3

3.x= -1/5 y +9/5

Answer:

thanswer to this is...................

Step-by-step explanation:

unknown

or 148 degrees

Answer:

148 degrees... if it's so easy then why u couldn't u answer it

Answer:

x < 5

x > -3

Step-by-step explanation:

I didn't see the graph you mentioned, but this is the graph I did.

|x - 1| < 4

x-1 < 4    ,  -(x-1) < 4

x < 5

x > -3

Answer:

15x-10=5

x=1

Step-by-step explanation:

hope it helps bro

Answer:

x=1

Step-by-step explanation:

Answer:

[tex]M = (9,3)[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (4,8)[/tex]

[tex](x_2,y_2) = (14,-2)[/tex]

Required

Find the midpoint (M)

The midpoint is calculated as follows:

[tex]M = (\frac{1}{2}(x_1+x_2),\frac{1}{2}(y_1+y_2))[/tex]

Substitute values for x's and y's

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

[tex]M = (\frac{1}{2}(18),\frac{1}{2}(6))[/tex]

[tex]M = (\frac{1}{2}*18,\frac{1}{2}*6)[/tex]

[tex]M = (9,3)[/tex]

Hence, the midpoint is (9,3)

Answer:

a) 2002 different groups of 5 problems can be chosen from the 14 problems.

b) P=0.04995%

c) 21 different groups of 5.

P=1.04895%

Step-by-step explanation:

a)

In order to solve this problem we must ask ourselves: Does the order matter? We can see that in this case the order in which the problems are chosen doesn't really matter, so we are talking about a combination:

[tex]_{n}C_{r}=\frac{n!}{r!(n-r)!}[/tex]

in this case, n=14 while r=5, so our combination will be:

[tex]_{14}C_{5}=\frac{14!}{5!(14-5)!}[/tex]

which yields:

[tex]_{14}C_{5}=2002[/tex] which will be the answer for part a.

b)

In order to find the probability we can use the probability formula:

[tex]Probability=\frac{desired \hspace{5}outcome}{number\hspace{5} of \hspace{5} possible \hspace{5} outcomes}[/tex]

so in this case there is only 1 desired outcome out of the 2002 possible outcomes so our probability is:

[tex]P=\frac{1}{2002}[/tex]

which is the same as:

P=0.04995%

c) The same applies to part c. In order to find the number of groups Silvia did, we can make us of the combination formula:

[tex]_{7}C_{5}=\frac{7!}{5!(7-5)!}[/tex]

which yields:

[tex]_{14}C_{5}=21[/tex]

so there are 21 different groups of 5 she did by solving 7 problems.

So we can use the same formula to find the probability that one of the groups she completed comprised the group selected to be graded so we get:

[tex]P=\frac{21}{2002}=\frac{3}{286}[/tex]

which is the same as:

P=1.04895%

(remember that in order to turn a decimal number into a percentage you need to multiply the decimal number by 100)

Given:

The equations are

[tex]5y=2x-5[/tex]

[tex]5y=4+3x[/tex]

[tex]5y-3x=-1[/tex]

To find:

The two parallel lines.

Solution:

Slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

Isolate variable y in each of the given equations, to get the slope intercept form of the lines.

The slope intercept forms of given lines are

[tex]y=\dfrac{2}{5}x-1[/tex]

[tex]y=\dfrac{4}{5}+\dfrac{3}{5}x[/tex]

[tex]y=-\dfrac{1}{5}+\dfrac{3}{5}x[/tex]

On comparing these equations with slope intercept form, we get

Slope of I line = [tex]\dfrac{2}{5}[/tex]

Slope of II line = [tex]\dfrac{3}{5}[/tex]

Slope of III line = [tex]\dfrac{3}{5}[/tex]

Slope of parallel lines are equal. So, lines II and III are parallel because their slopes are equal.

Therefore, the correct option is C.