Solution :
Given that the expression is :
[tex]$10^3 \times 0.006$[/tex]
This can be written as,
[tex]$\Rightarrow 10^3 \times \frac{6}{1000}$[/tex]
[tex]$\Rightarrow 10^3 \times \frac{6}{10^3}$[/tex]
[tex]$\Rightarrow 10^0 \times 6$[/tex]
a). Therefore the exponent in the power of 10
= 0
b). Factors of 10 in [tex]$10^3$[/tex]
= 10 x 10 x 10
= 1000
= [tex]$10^3$[/tex]
So there are 3 factors of 10 in [tex]$10^3$[/tex]
c). If we compare the exponent of power of 10 in 1000 and factors of 10 in 1000, then both of them will be same.
But in part a), we are finding exponent in the power of 10 in the expression which is equal to 0. And in part b), we are finding the factor of 10 in 1000, which is equal to 3, as 10 x 10 x 10 = 1000.
d). The value of the expression [tex]$10^3 \times 0.006$[/tex] is 6.
In a sample of 16 mini-golf balls, 6 are yellow and 10 are pink. If 2 balls are selected at random from the sample, one at a time without replacement, what is the probability that both balls are not pink?
Answer:
The probability is 1/8 that you'll pick 2 yellow balls.
Step-by-step explanation:
P(Both balls not pink) = P(Both balls yellow) = 6/16 * 5/15 = 1/8
Which of the following is a solution to the equation 3/4x - 12 = -18?
4.5
-22.5
-40
-8
Answer:
-8
Step-by-step explanation:
3/4x=-18+12
x=-6×4/3
x=-8
Answer:
x = -8
Step-by-step explanation:
[tex] \frac{3}{4} x - 12 = - 18[/tex]
i) multiply both sides of equation with 4
[tex] 4(\frac{3}{4} x - 12) = 4( - 18)[/tex]
[tex](4 \times \frac{3}{4} x) + (4 \times ( - 12)) = - 72[/tex]
[tex]3x - 48 = - 72[/tex]
ii) move -48 to the right-hand side and change its sign
[tex]3x = - 72 + 48[/tex]
iii) calculate the sum
[tex]3x = - 24[/tex]
iv) divide both sides of equation with 3
[tex] \frac{3x}{3} = \frac{ - 24}{3} [/tex]
[tex]x = - 8[/tex]
I need the measure of angle 1
Answer:
Angle 1 is 69°
Step-by-step explanation:
9x + 66 = -9x + 156
9x + 9x = 156 - 66
18x = 90
18x/18 = 90/18
x = 5
-9x + 156
-9(5) + 156
-45 + 156
111
180 - 111 = 69.
What is the measure in degrees for the central angle of a circle whose radius is 8 cm and intercepted arc length is 5.6 cm?
Answer:
0.7
Step-by-step explanation:
A) 41 cm2
B) 54 cm2
C)81 cm2
D)121.5 cm2
Answer:
C.
Step-by-step explanation:
you have to use the equation 4pir^2. After simplifying, it comes out to 81pi cm^2
PLEASE HELP ME OUT WITH THIS I NEED HELP BAD!!!!!!
Answer:
First box is the one all the way on the right
Second box Is the second one from the left
Third box Is the first one on the left
Last box is the 3rd one from the left
Step-by-step explanation:
10. It takes about me 25 minutes to make out a test for a mathematics dass How long will it take to make
out tests for all five of my classes?
Answer:
2 hours and 5 minutes or 125 minutes
Step-by-step explanation:
25minutes per class
5 classes
25 * 5 = 125 minutes = 2 hours and 5 minutes
SOMEONE pLZ HELP ME SOLVE THIS IM GETTING so MADDD
Answer:
Vertex Form: y= 2(x−1)^2−7
Step-by-step explanation:
I believe this is correct
If the dotted figure is the image, the original figure was reflected over the.
Answer:
y axis
Step-by-step explanation:
In July, the average temperature in Florida was 104°F, while the average temperature in California was 5° cooler. What was the average temperature in California?
°
Answer:
99 degrees F
Step-by-step explanation:
subtract 5 from 104
Answer:
average 104 degrees F
Step-by-step explanation:
Evaluate 5 · (x – 3) when x = 10.

Answer:B. 35
Step-by-step explanation:
replace x with 10. subtract 3 from 10 and you have 7. Then multiply 5 by 7. you have 35. your welcome.
At a local fitness center, members pay $8 membership fee and $4 for each aerobics class. Nonmembers pay $5 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the same?
Find the slope of a line parallel to each given line
Answer:
Slope: 1
Step-by-step explanation:
y = mx + b
m = Slope
y = x - 4
m = 1
Distance between two places is 400 miles. The scale of the map is 1
in:200 miles. What is the distance between these two places in The Map
Answer:
2 in
Step-by-step explanation:
if 200 miles = 1 in
400 miles = 400 miles x 1 in
200 miles
= 2in
lines b and c are parallel. What is the measure of angle 6?
Answer:
m<6=126
Step-by-step explanation:
When two people play a game, each player starts with 10 points. The winner of each round gets 3 points and the loser of each round loses 3 points. William and Abigail play the game. William wins exactly four rounds, and Abigail ends up with16 points. How many rounds did they play altogether?
helpppp
i need help quickly
Answer: 140?
I am not really sure but I think 140......
Quadrilateral ABCD with AB= 5.5cm,BC= 3.5cm,CD= 4cm,AD= 5cm and <A= 45°.
Answer:
⇒ Draw a line segment AB=5.5cm
⇒ Take A as a center and draw an angle of 45
o
.
⇒ Cut off AD=5cm
⇒ Take D as a center with radius 4.5cm and draw an arc.
⇒ Take B as a center with radius 3.5cm and draw an arc, which meets previous arc at point C.
⇒ Join BC and CD.
∴ ABCD is a required quadrilateral.
Step-by-step explanation:
hope this helps!
PLEASE HELP ASAP!!! Please Answer A, B, C, or D No work is needed THX
Answer:
B
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
hope this helped
Pls help me ASAP I have other homework to do and I don’t have time for this. It also detects if it’s right or wrong:(
Answer:
5 hours
Step-by-step explanation:
(450-200)÷50=5
HELP. car takes 10 hour and 30 minutes from A to B point. how many hours will it take for car if it's speed increases 1.2 times?
(distance doesn't change)
9514 1404 393
Answer:
8 3/4 hours
Step-by-step explanation:
Time is inversely proportional to speed for the same distance. The time for 1.2 times the speed will be 1/1.2 times the given time:
(10.5 h)/1.2 = 8.75 h
It will take 8.75 hours at the increased speed.
[tex] \frac{ - 2 + 3 \times 6} 5[/tex]
I need help please
Answer:
Step-by-step explanation:
we do first the multiplication 3*6=18
-2+18=16
16/5 is your answer or 3.2
The solution of absolute value equation I x - 4 | =6 is...
WILL MARK BRAINLIEST
slope intercept form: given
m=2/3 and (0,-6).
Answer:-6=-2/3x+0
Step-by-step explanation:
I dont know if you were supposed to solve, but the equation is in slope intercept.
If you were to solve, its y=-2/3x+6
2. Re-write the equation in slope-intercept form
y + 4 = -2(x + 3)
the most stable measure of central tendency is____
a) mean b)median. c) mode. d) deviation
Answer:
Median.
Step-by-step explanation:
mean might have outliers, standard deviation in not and mode can be rigged.
Hope this helps :D
Use the drop-down menus to complete the solution to the equation cos(pie/2-x)=square root 3/2 for all possible values of x on the interval [0,2pie].
Answer:
0
1
sin
3
3
Step-by-step explanation:
These are the answers in order from every blank
The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.
As per the given trigonometric equation,
cos(x)cosπ/2 + sin(x)sinπ/2 = √3/2
Since, cosπ/2 = 0 and sinπ/2 = 1
cos(x)(0)+ sin(x)(1) = √3/2
sinx = √3/2
sinx = sin π/3 = sin 2π/3.
Hence "The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3".
For more information about the trigonometric function,
https://brainly.com/question/14746686
#SPJ2
PLEASE HELP FAST What is the answer for this I will give brainless an extra points for correct answer I appreciate it
Answer:
-3
Step-by-step explanation:
the answer is negative 3, because when x is two, y is three
Answer:
f(2) = -3
Step-by-step explanation:
This is the answer because:
1) The question is basically asking what the y-cordinate is.
2) In order to find the y-cordinate, look at the graph and find where 2 is on the x-axis. Then, see wheree the y-coordinate is on the same line a the x-cordinate which is 2.
3) When you line up the cordinates, you can see that where x is 2, y is -3.
Therefore, the answer is -3.
Hope this helps! :D
CAN SOMEONE HELP ME PLEASE :)
Answer:
I don't know
Step-by-step explanation:
What does it want me to do? I don't see the question. I only see the graph.
Use inductive reasoning to predict the next month in the pattern: January, April, July...
A.) November
B.) August
C.) October
D.) September
Answer:
c.) October
Step-by-step explanation:
the pattern just skip two months