Answer:
2.7*10³=2700
note if power positive you add '0s' to the back eg 10³=1000 if the power is negative e.g10^-3 add to the front and a decimal e.g 0.001
[tex]\\ \sf \longmapsto 2.7\times 10^3[/tex]
[tex]\\ \sf \longmapsto 27\times 10^{-1}\times 10^3[/tex]
[tex]\\ \sf \longmapsto 27\times 10^{-1+3}[/tex]
[tex]\\ \sf \longmapsto 27\times 10^2[/tex]
[tex]\\ \sf \longmapsto 27\time 100[/tex]
[tex]\\ \sf \longmapsto 2700[/tex]
8 students take 18 hours to construct a raft.
If the raft needs to be completed 12 hours earlier, calculate how many more students are needed.
Answer:
16
Step-by-step explanation:
Students 8 x
Time taken (hours) 18 18 - 12 = 6
If number of students increases, the work will completed in less hours.
So inverse proportion
[tex]x =\frac{18*8}{6}=3*8 = 24[/tex]
Additional students required = 24 - 8 = 16
Simplify 3^6x3
O A 36
B. 37
O. 96
D. 35
[tex]\\ \sf\longmapsto 3^6\times 3[/tex]
[tex]\boxed{\sf a^m\times a^n=a^{m+n}}[/tex]
[tex]\\ \sf\longmapsto 3^6\times 3^1[/tex]
[tex]\\ \sf\longmapsto 3^{6+1}[/tex]
[tex]\\ \sf\longmapsto 3^7[/tex]
If a wheel has a radius of 5cm
1. how much is one rotation of the wheel
2. How many rotations can the wheel do within a distance of 50km
We can simplify the wheel, thinking of it as a simple circle, then using general knowledge about circles, we can solve this.
1) Remember that one rotation of the wheel will be equal to the perimeter of the wheel, and for a circle of radius R, the perimeter is:
[tex]P = 2*3.14*R[/tex]
We know that our wheel has a radius of 5cm, then R = 5cm, we will get:
[tex]P = 2*3.14*5cm =31.4 cm[/tex]
Then one full rotation of the wheel is equal to
2) Not that we know the distance that the wheel does in one single rotation, the total number of rotations needed to do a distance of 50km is equal to the quotient between 50km and the distance that the wheel moves in one rotation.
But first we need to have both values in the same unit system.
Knowin that:
1km = 1000m
1km = 100*1000cm = 100,000 cm
Then 50km = 50*(100,000 cm) = 5,000,000 cm
Now we can solve the quotient:
[tex]\frac{5,000,000cm}{31.4cm} = 159,235.7[/tex]
This means that the wheel needs to do 159,235.7 rotations to move a distance of 50km.
If you want to learn more, you can read:
https://brainly.com/question/11137975
What is the value of the expression below when w=5
4w-9.
Answer:
11Step-by-step explanation:
let w= 54w - 9= 4 × (5) - 9= 20 - 9= 11[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Will Mark Brainlest Help pls
Answer:
can you snap it again it's not clear
which expression is equivalent to 2 x 2^3 x 8
A.) 2^6
B.) 2^7
C.) 2^8
D.) 2^9
Answer:
B). 2^7
Step-by-step explanation:
[tex] = { \sf{2 \times {2}^{3} \times 8 }} \\ = { \sf{2 \times {2}^{3} \times {2}^{3} }} \\ = { \sf{ {2}^{(1 + 3 + 3)} }} \\ = { \sf{ {2}^{7} }}[/tex]
Answer:
The answer is B. 2^7
Step-by-step explanation:
I did the work out lol
solve the diagram below
Answer:
x=45
Step-by-step explanation:
straight line=180°
2x+x=3x
180-45=135
135/3=45
x=45
Pre calc homework online
Answer:
Step-by-step explanation:
t = [tex]cos^{-1} (\frac{3}{5})[/tex]
t ≈ 53°
cos t = cos (- t) = [tex]\frac{3}{5}[/tex]
sec ( [tex]\pi[/tex] + t ) = - [tex]\frac{5}{3}[/tex]
Please help! Thank you
Answer:
(a) 1:12
(b) 12:1
(c) 1:100
(d) 100:1
Pls help me I’m new at Geometry :/
Answer:
17.3
Step-by-step explanation:
√(-9-8)² + (-6-(-3))²
√17² + 3²
√289 + 9
√298 = 17.3
Answer:
hope it helps u
Step-by-step explanation:
and pls mark as branlist ans
Determine whether the following polygons are similar.
Answer:
The polygons are NOT similar. The ratio of 12 to 18 equals 2 to 3, and the ratio of 26 to 32 equals 13 to 16. They're not the same, thus not similar.
Answer:
They are not similar, and the instructions says to put "None" otherwise, so...
Step-by-step explanation:
You can find this by dividing 32 by 16 to get something like 1.7777....
and dividing 26 by 12 should give the same ratio if they are similar, but it gives something like 2.1666...
Therefore they are not similar.
Congruent means two or more shapes are the same size and are similar, but for some things to be similar means that they have the same ratio, but not necessarily the same dimensions.
4(3−y)=6−2(1−3y) Enter your answer in the box. y=
Answer:
12-4y=4-12y
8y=-8
y=-1
Answer:
y= 0.8
Step-by-step explanation
4(3−y) = 6−2(1−3y)
12−4y = 6−2(1−3y)
12−4y = 6−2+6y
12−4y = 4+6y
12 = 4+10y
8 = 10y
0.8 = y
This is correct i just took the test. I hope this helps :)
Evaluate the expression
Answer:
Is -15
Step-by-step explanation:
Find the Algebric Equation
The sum of the product of 5 and a number, and 8
Answer:
5x+8
Step-by-step explanation:
First find the product of 5 and a number
5x
Then sum it with 8
5x+8
Which number sentence is true? A. 12 < |-12| B. |-12| < |-48| C. |-48| < |48| D. |12| > |-48|
Step-by-step explanation:
B ) |-12| < |-48|
because the signs are not taken on to consideration if we write in |
so hence B is right option
MARK AS BRAINLIST IF IT IS USEFUL
Ratio: the ratio of men to women working for a company is 4 to 3. If there are 196 employees in total, how many are women?
Answer:
84 women
Step-by-step explanation:
Using Algebra, we can apply the ratio of men and women, 4 and 3, in a format that can be used in an equation.
4x = men and the unknown variable that will solve the amount of men
3x = women and the unknown variable that will solve the amount of women
Now, we will use the other provided piece which is the total amount of employees, and we will put together an equation!
4x + 3x = 196
We will use this equation to solve for X by the process of addition and division.
4x + 3x = 196
7x = 196
196 ÷ 7 = 28
x = 28
Now we will use this variable and apply it for x to find the number of women.
3 x 28 = 84 women!
Checking the answer:
4 x 28 = 112 men
84 + 112 = 196
Therefore, this answer checks out.
find the difference 4 - 15
first 15- 4= 11
in question they gave 4-15 so
-11
if A is a subset and equal to B then B'-A' is equal to
Answer:
A-B
Step-by-step explanation:
It doesn't say A=B... But just that A is a subset of B.
Anyways, why not try an example to help reveal the answer.
Let the universe set, U, be U={1,2,3,4,5,6}.
Let B={1,2,3,4} and A={1,3,5}
First choice would become A'={2,4,6}
Second choice would become B'={5,6}
Third choice would become A-B={5}
Fourth choice is just { }
B'-A'={5}
The only choice matching is A-B
*Just so you know X-Y is the set of elements contained in X only if they are not also in Y.
Serena hits a tennis ball downward from the top of the net at which the angle of
depression is 20°. If the net is 0.9 m high, how far from the net does the ball land to
the nearest tenth of a metre?
Answer:
2.5 meter
Step-by-step explanation:
in a right triangle, tan of an angle = opposite side /adjacent side
tan 70° = x/ 0.9 , multiply both sides by 0.9
0.9 * tan 70° = x, solve on a calculator
x ≈ 2.5 m
Convert:5.6 L INTO Milliters
Answer:
5600 ml
Step-by-step explanation:
1 L = 1000 ml
5.6 L = 5.6 × 1000 = 5600 ml
If 2(3x - 2)=26 then x = ?
Step-by-step explanation:
6x-4=26
6x=26+4
x=30/6
x=5
Answer:
x=5
Step-by-step explanation:
26÷2=13
13+2=15
15÷3=5
Erica saw a skateboard on sale for $59.95 the original price of the skateboard was $79.95 what is the approximate percent discount on the skateboard ?
Answer: 25%
Step-by-step explanation:
A population of 30 bunnies is increasing at a rate of 40% per year. How many bunnies will be there in 5 years?
Determine the absolute value
Answer:
64000
Step-by-step explanation:
The absolute value is the non-negative number
|64000| = 64000
HELP QUICK PLS!!!
Which is the lateral area of the cone?
8V3 yd
-60°
O 1287 yd?
2567 yd?
O (64/3) + yd
O (128/2) + yd?
Answer:
A
Step-by-step explanation:
The lateral surface area is given by pi*r*l, we can use trigonometry to find l. 8*sqrt(3)/l=sin(60), l=16 and r is given by tan(60)=8*sqrt(3)/r, r=8. The lateral surface area is 16*8*pi=128*pi
Which ordered pair would fall in the first quadrant of the coordinate plane?
A) (3, 10)
B) (0, 0)
C) (0, 10)
D) (3, 0)
Answer: A (3,10)
Source : i made it up
89-x=213 what's the answer?
Answer:
x = -124
Step-by-step explanation:
89-x=213
Subtract 89 from each side
89-x -89=213-89
-x = 124
Multiply each side by -1
x = -124
Step-by-step explanation:
89-x=213
89-213=x
x= -124
hope this helps
PLS HELP ASAP!!
Solve the inequality for 0
√2sinx+√2cosx>0
a. 0
b. 3π/4
c. 0
d. 0
Answer:
2
Step-by-step explanation:
w
Item 4
Ellie has 20 books on her shelf. Four of these books are nonfiction, and the rest are fiction.
What is the ratio of fiction books to nonfiction books on the shelf?
5:4
5:1
4:1
I don't know.
Answer:4:1 just taking to test as soon as you
Step-by-step explanation:
The ratio of fiction books to nonfiction books on the shelf is, 4
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
Ellie has 20 books on her shelf
Four of these books are nonfiction
The rest are fiction
The ratio of fiction books to nonfiction books on the shelf = ?
The number of fiction books = ?
The number of fiction books = 20 - 4
= 16
Ratio = fiction/nonfiction
= 16/4
= 4
Hence, the ratio is 4
To know more about Ratio check:
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10-7+12 dived (2^3-6) hope you can answer
Answer:
The answer is 7.5
