Answer:
-7 × 10
Step-by-step explanation:
Explanation:
6.3
×
10
5
is the same value as
63
×
10
4
So we have:
63
×
10
4
9
×
10
3
ddd
→
ddd
63
9
×
10
4
10
3
ddddddddd.d
→
ddd
63
9
×
10
If the sum of the digits is exactly divisible by 3 then the actual number is also exactly divisible by 3
→
6
+
3
=
9
so we will divide both top and bottom by 3 to simplify the fraction.
ddddddddd.d
→
ddd
63
÷
3
9
÷
3
×
10
Note that:
63
÷
3
9
÷
3
=
21
÷
3
3
÷
3
=
7
1
=
7
so we have:
(
6.3
×
10
5
)
÷
(
9
×
10
3
)
=
7.0
×
10
Negative version works the same exact way but with a negative sign
The scientific notation of (6.3 × 10⁻⁵) / (9 × 10⁻³) on simplifying is 7 × 10⁻³.
What is scientific notation?
Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It is also known as the standard form in the UK and scientific form, standard index form, and standard form.
Given:
The expression is (6.3 × 10⁻⁵) / (9 × 10⁻³),
The values in the negative power in the numerator go to the denominator and vice versa,
(6.3 × 10⁻⁵) / (9 × 10⁻³) = (6.3 × 10³) / (9 × 10⁵)
Divide the 6.3 by 9 as shown below,
(6.3 × 10⁻⁵) / (9 × 10⁻³) = 0.7 / 10²
(6.3 × 10⁻⁵) / (9 × 10⁻³) = 0.7 × 10⁻²
(6.3 × 10⁻⁵) / (9 × 10⁻³) = 7 × 10⁻³
To know more about scientific notation:
https://brainly.com/question/18073768
SPJ2
Sarah completed about 85% of her school homework. Her friend Emily completed x percent homework more than Sarah. Which expression represents the percent of homework Emily completed?
Answer:
Step-by-step explanation:
85-x=100
85 represents sarah's hw
x represent Emily's hw
100 represents total completion
Answer:
85 + x
C is the answer
Step-by-step explanation:
simplify using a positive exponent : 2 ^-3
Answer:
1/2^3
Step-by-step explanation:
When an exponent is negative you flip the fraction, in this case from numerator to denominator.
1/2^3
Step-by-step explanation:
a quadrilateral has 2 angles that measure 100 and 60 degrees the other angles have a ratio of 3:17 . what are the measures of those angles?
Answer:
30° , 170°
Step-by-step explanation:
Let the remaining two angles be 3x & 17x. As it is a quadrilateral , the sum of all the angles of quadrilateral is 360°. So,
[tex]3x + 17x + 60 + 100 = 360[/tex]
[tex] = > 20x + 160 = 360[/tex]
[tex] = > 20x = 360 - 160 = 200[/tex]
[tex] = > x = \frac{200}{20} = 10[/tex]
Putting the value of x , remaining angles are
(3×10 = 30°) & (17×10 = 170°)
Step-by-step explanation:
the missing angles 3:173x+17x+60+100=360°20x+160=360°20x=360-16020x=200°divide both sides by 20X=10substitute X=10 in 3x and 17x3(10)=30°17(10)=170°Mr. Lim is building a deck. He cuts a 9 foot piece of wood into
3 pieces of the same length. How long is each piece of wood?
Show your work.
Answer: 3
Step-by-step explanation: 9/3=3
Define a variable, write an inequality, and solve each problem.
9. The sum of a number and five is more than negative seven.
Answer:
x+5>-7
Step-by-step explanation:
The sum of a number and five translates to x+5. It then states that this expression is more than negative seven, therefore you use a greater than sign to get x+5>-7
Please somebody HELP!!!! 100 PTS!!!
log1/2 8 = -3 1/3 3
Answer:
-3
Step-by-step explanation:
[tex]log_{\frac{1}{2} }8=-log_{2}8=-log_{2} (2^{3})=-3[/tex]
Answer:
-3
Step-by-step explanation:
i forgot how to do the log thingy but the guy on top is also correct
7/8pq + 5/16pq
someone please help me
19/16 or 1 3/16 :D I hope this helped u
SOMEONE HELP ASAP IM BEGGING U PLEASE !!
Answer:
I believe it is yes because he is correct
Help pls! Extra p! Thank youu
Answer:
(C) 48 ft^3
Step-by-step explanation:
Volume=L*W*H=6*4*2=24*2=48, making the correct choice (C) 48 ft^3
I NEED HELP ON SIMPLIFYING THIS SOMEONE HELP
Answer:
I think it is 3^8
Step-by-step explanation:
(3^5)^2
÷
3^-2
3^10
÷
3^-2
=3^8
Which number corresponds to 25%?
25
10.6
100
13.25
125
53
66.25
63.6
78
Answer:
25
Step-by-step explanation:
because 25 is %25 of 100
Answer:
25
Step-by-step explanation:
25% is 25 pieces out of 100 (cent). This means 25 corresponds to 25%. Another answer could be .25, but that is not there.
Combine like terms : 2x+5x+10x
Answer: =17x
Step-by-step explanation: hope this help, hope you understand it too.
Let's simplify step-by-step.
2x+5x+10x
Combine Like Terms:
=2x+5x+10x
=(2x+5x+10x)
=17x
In 1970, the median home value was $20,000. By 2020, the median home value was $320,000. What is the percent increase in home value in those 50 years?
Answer:
1500%
Step-by-step explanation:
The formula for Percentage increase is
Increase/ Initial Amount × 100
Increase = Current Amount - Initial Amount
Increase = $320,000 - $20,000
Increase = $300,000
Percentage Increase =
$300,000/$20,000 × 100
= 1500%
The percent increase in home value in those 50 years is 1500%
1)-9+6h > 39
solve each inequality
Answer:
H < 8
Step-by-step explanation:
-9+6h>39
Add 9 to the -9 and the 39
6h>48
Divide the 6 and the 48 by 6, then flip the > to a <
h = 8
I hope this helps you out!
For smart ppl who are good at graphs, inputs, and outputs.
Answer:
I believe the output is f(6) is -1, the output of f(2) is -4, and f(x)=-4 has the outputs of 2, 4, 8, and 10.
I think.
NEED ANSWER ASAP:
Write the ratio as a fraction in simplest form.
2 1/3 feet : 4 1/2 feet
Answer:
14/27 feet
Step-by-step explanation:
2 1/3 feet : 4 1/2 feet
= 7/3 : 9/2
= 7/3 ÷ 9/2
= 7/3 × 2/9
= (7*2)/(3*9)
= 14/27 feet
2 1/3 feet : 4 1/2 feet = 14/27 feet
Determine whether each number is a solution of the
given inequality
8m - 6 < 10
when m = 3
O YES (m = 3 is a solution of the inequality)
o NO (m = 3 is not a solution of the inequality)
Answer:
NO (m = 3 is not a solution of the inequality)The line graph is also attached below.
Step-by-step explanation:
Given
[tex]8m-6<10[/tex]
Add 6 to both sides
[tex]8m-6+6<10+6[/tex]
Simplify
[tex]8m<16[/tex]
Divide both sides by 8
[tex]\frac{8m}{8}<\frac{16}{8}[/tex]
Simplify
[tex]m<2[/tex]
Therefore, m = 3 NOT a solution of the inequality because 'm' must be less than 2.
Hence,
NO (m = 3 is not a solution of the inequality)VERIFICATION:
Given
[tex]8m-6<10[/tex]
substitute m = 3
8(3) - 6 < 10
24 - 6 < 10
18 < 10
FALSE
Can somebody help me with this one thank you.
Answer:
3/4
Step-by-step explanation:
6/8 divided by 2 is 3/4
first come first serve 25 points answer whatever first will get brainlyiest
Answer:
yo
Step-by-step explanation:
yo
Answer:
thanks dude
Step-by-step explanation:
:)
NEED HELP A triangle is cut from a rectangle. The height of the triangle is half of the unknown side length s. The area of the shaded region is 84 square inches. Write an equation you can use to find the side length s. An equation is =84.
Answer: 14s - 7s/2 = 84
Step-by-step explanation:
Given that s is the length of the unknown side:
Area of the shaded region = 84
Area of rectangle - Area of triangle = 84
Area of rectangle = L * W
= 14 * s
= 14s
Area of triangle = ¹/₂ * base * height
= ¹/₂ * 14 * s/2
= 7s/2
Area of shaded region:
14s - 7s/2 = 84
Solving for s:
14s - 7s/2 = 84
28s - 7s = 168
21s = 168
s = 168/21
s = 8 inches
Please help down below
Answer:
The answer is B
Hope this helps
Answer:
The first answer
Explanation:
Ok I added an explanation lol-
So B is incorrect. It gets confused. 332/4 simplified isn't 1/83, but it's 83/1 (aka 83)
C doesn't even make sense 6-6
And D isn't 5 2/5 it's 7 2/5
just please help help help help
Answer:
C.{(-3,10),(-2,5),(1,2),(-2,-4)}
In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what is the value of b, if c=5, a=3
Answer:
b = 4
Step-by-step explanation:
Try setting up the equation of the pythagorean theorem.
hypotenuse^2 = leg(a)^2 + leg(b)^2
c^2 = a^2+b^2
Now substitute what you know and solve for the unknown.
5^2 = 3^2+b^2
25 = 9 + b^2
b^2 = 25-9 = 16
b = 4.
=====MATH QUESTION=====Extra Points
study regarding the age at which a person married for the 1st time was completed and the results are shown in the ogive above. Approximately what percent of the individuals in the study married for the 1st time between the ages of 20 and 28 years old?(Also if you could explain your answer, I would really like to use this as a learning opportunity)
Group of answer choices
5%
25%
50%
75%
(-5,5)(5,0) help pls need the work shown as well ahaha!
Answer:
-1/2
Step-by-step explanation:
Formula to find slope is y2-y1/x2-x1
Chose one ordered pair to be the 2 and the other one to be the 1
I chose the 2nd one to be 2.
Plug in the y-value from the 2nd ordered pair to y2 because its the 2.
Plug in the x-value from the 2nd ordered pair to x2 because its the 2.
Now you have 0-y1/5-x1
Do the same thing but for the 1.
Plug in the y-value from the 1st ordered pair to y1 because its the 1.
Plug in the x-value from the 1st ordered pair to x1 because its the 1.
Now you have 0-5/5--5
In this situation, you have 2 minus signs.
2 minus = 1 positive.
Now you have 0-5/5+5
Simplify.
Now you have -5/10.
Simplify.
-1/2.
Hope this helps!
help plz due today i dont want to fail!
guys I need help
plss answer activity 1.2.3 & 4
as long as you can... I will mark you brainliest
I will be happy if you help me
(╯︵╰,)
Answer:
Activity 1:-
1) Pi (π) is the ratio of circumference and the diameter of the circle which is 22/7. So
[tex]\frac{c}{d} =\pi = \frac{22}{7}[/tex]
[tex]=> c = \frac{22}{7} d[/tex] where circumference is directly proportional to diameter (d).
2) Area of a parallelogram = Altitude × Base
Base = 10 cm. So ,
[tex]A = 10a[/tex] where area (A) is directly proportional to altitude (a).
3) Let the fare of 1 unit distance be f
So, for distance d , total fare (F) will be [tex]F = fd[/tex] where total fare (F) is directly proportional to distance (d).
4) Let the distance be 'D' , speed be 's' & time be 't' .
We know that [tex]s = \frac{D}{t}[/tex] where speed (s) is directly proportional to distance (D) & inversely proportional to time (t).
5) We know that area of a square (A) = side² (s²)
[tex]=> A = s^{2}[/tex] where area(A) is directly proportional to side(s).
Activity 2:-
1) p is directly proportional to sum of u & w.
⇒ p ∝ u + w
⇒ p = k (u + w)
Putting the values of p , u & w
⇒ 14 = k(4 + 3)
⇒ 7k = 14
⇒ k = 14/7 = 2
2) r is directly proportional to square of t.
⇒ r ∝ t²
⇒ r = k × t²
Putting the values of r & t
⇒ 16 = k × 16²
⇒ k = 16² ÷ 16 = 16
3) y is directly proportional to cube root of x.
⇒ y ∝ ∛x
⇒ y = k × ∛x
Putting the values of x & y ,
⇒ 2 = k × ∛27
⇒ 3k = 2
⇒ k = 2/3
4) z is directly proportional to cube of d.
⇒ z ∝ d³
⇒ z = k × d³
Putting the values of d & z ,
⇒ 5 = k × 2³
⇒ 8k = 5
⇒ k = 5/8
5) Total Surface Area (SA) is directly proportional to square of the sides (s).
⇒ SA ∝ s²
⇒ SA = k × s²
Putting the values of SA & s ,
⇒ 96 = k × 4²
⇒ 16k = 96
⇒ k = 96/16 = 6
PLEASE HELP MEE
Kevin has 6 pounds of ham to make 12 sandwiches. He puts the same amount of ham on each sandwich. Which statement about Kevin’s sandwiches is true?
( A ) Each sandwich has one half pound of ham.
( C ) Each sandwich has 1 pound of ham.
( D )Each sandwich has 2 pounds of ham.
Kevin has one half pound of ham left over.
Answer:
( D )Each sandwich has 2 pounds of ham.
Answer:
1/2 of ham
Step-by-step explanation:
Larry bought a lawn ornament that was marked down 60% from an original price of $75. If he paid 10% sales tax, what was the total cost of the lawn ornament?
Answer:
$33
Step-by-step explanation:
Hope this helps!
What is the constant for 5c2+7d
Answer:
2
Step-by-step explanation:
5 and 7 are the coefficients if you need them