Note: Consider the given figure attached with this question.
Given:
The expression is:
[tex]2^5\times 2^4[/tex]
To find:
The equivalent expression.
Solution:
We have,
[tex]2^5\times 2^4[/tex]
It can be written as:
[tex]2^5\times 2^4=2^{5+4}[/tex]
[tex]2^5\times 2^4=2^{9}[/tex]
So, option A is correct and option B is incorrect.
Similarly, in options C, D, E,
[tex]2\cdot 2^9=2^{10}[/tex]
[tex]2^{10}\cdot 2^2=2^{12}[/tex]
[tex]2^{-2}\cdot 2^{11}=2^{9}[/tex]
So, options C and D are incorrect but option E is correct.
The given expression can be written as:
[tex](2\cdot 2\cdot 2\cdot 2\cdot 2)\cdot (2\cdot 2\cdot 2\cdot 2)[/tex]
So, option F is correct.
Therefore, the correct options are A, E F.
One number is three times another number. If the sum of the numbers is 36, determine the two numbers.
Step-by-step explanation:
A=3B
A+B=36
3B+B=36
4B=36
B=36/4
Step-by-step explanation:
let x represent the smaller number
3x is the second number
x+3x=36
4x=36
4x/4=36/4
x=9
the second number is 3(9)
=27
Find the length of the side labeled 2. Round intermediate values to
the nearest tenth. Use the rounded values to calculate the next
value. Round your final answer to the nearest tenth. PLEASE HELP ASAP!
A. 11.6
B. 13
C. 16.6
D. 22.4
Answer:
B
Step-by-step explanation:
The perpendicular is sin(43)*39=21.82. Next tan(32)=x/21.82. x=21.82*tan(32)=13.6
The value of x in the given question is 16.6
What are trigonometric ratios in a right angle triangle ?A right angle triangle has 3 sides opposite is the side opposite to the angle formed by two adjacent sides.hypotenuse is the largest side and adjacent is the remaining side.
Assuming height of the triangle = y
Sin∅ = opposite/hypotenuse
sin43° = y/39
y= 39sin43°
y = 26.6
From this we will solve the value of x
tan∅ = opposite/adjacent
here adjacent = 26.6 and opposite = x
tan32° = x/26.6
x = 26.6tan32°
x = 16.6
Learn more about Trigonometric ratios here :
https://brainly.com/question/14977354
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there are two pots of milk containing 20 liters and 24 liters respectively .find the capacity of the largest container that can measure exactly milk both the cans
Answer:
A can with capacity 44 litres
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
please answer and no links please ....
Step-by-step explanation:
ℎ = -4, -3×(-4)+2 = 12+2 = 14
ℎ = -2, -3×(-2)+2 = 6+2 = 8
ℎ = 0, -3×0+2 = -3+2 = 2
ℎ = 3, -3×3+2 = -9+2 = -7
ℎ = 5, -3×5+2 = -15+2 = -13
Ten tiles numbered 1 through 10 are turned face down. One tile is turned up at random, and a die is rolled and the number is square. What is the probability, written as a percent, that the product of the numbers on the tile and the die will be a perfect cube?
Answer:
18.33333333%. Please mark as brainliest if I’m Correct. :)
Step-by-step explanation:
69°
X/75°
36°
X =
degrees
Enter
Answer:
x = 105°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles
x is an exterior angle of the triangle , then
x = 69° + 36° = 105°
Another distribution problem. Can someone solve?
Answer:
Hello,
Step-by-step explanation:
[tex]P(3000<x<4000)\\\\=P(\dfrac{3000-3262}{1100} \leq z\leq \dfrac{4000-3262}{1100})\\\\=P(z\leq 0,6709)-(1-P(z\leq 3524) \leq z))\\\\=0.7515-0.5941\\\\=0.1574\\[/tex]
My table have 4 digits but i have made a linear interpolation .
Answer:
-.238, .67, .7486, .4052, .3434
Step-by-step explanation:
standardize them both
(3000-3262)/1100= -.238 which rounds to -.24 which has a probability of .4052
(4000-3262)/1100= .67 which has a probability of .7486
subtract them
.7486-.4052=.3434
Whats the answer hurry !!
Answer:
[tex]=\frac{81m^2n^5}{8}[/tex]
Step-by-step explanation:
One is given the following expression:
[tex]\frac{(3m^-^1n^2)^4}{(2m^-^2n)^3}[/tex]
Simplify, distribute the exponent outside of the parenthesis by the terms inside of it. Remember, when a value that already has an exponent is raised to another exponent, the equivalent of these two values is multiplying the exponents together. Use this property here:
[tex]=\frac{(3m^-^1n^2)^4}{(2m^-^2n)^3}[/tex]
[tex]=\frac{3^4m^(^-^1^)^(^4^)n^(^2^)^(^4^)}{2^3m^(^-^2^)^(^3^)n^3}[/tex]
[tex]=\frac{81m^-^4n^8}{8m^-^6n^3}[/tex]
Now simplify this fraction. Keep in mind that a fraction is another way of representing the operation of division. When one wants to divide terms raised to an exponent, one must make sure that these terms have a like base. Then one will subtract the exponents from each other. Do this step with terms that have a variable base:
[tex]=\frac{81m^-^4n^8}{8m^-^6n^3}[/tex]
[tex]=\frac{81m^(^-^4^)^-^(^-^6^)n^(^8^)^-^(^3^)}{8}[/tex]
[tex]=\frac{81m^-^4^+^6n^8^-^3}{8}[/tex]
[tex]=\frac{81m^2n^5}{8}[/tex]
Simplify
4(w + 2) - 7
Answer:
4w +1
Step-by-step explanation:
4(w + 2) - 7
Distribute
4*w + 4*2 -7
4w +8-7
Combine like terms
4w +1
Hey there!
4(w + 2) - 7
DISTRIBUTE 4 WITHIN the PARENTHESES
= 4(w) + 4(2) - 7
= 4w + 8 - 7
COMBINE the LIKE TERMS
= 4w + 1
Answer: 4w + 1
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
How can we write an algebraic expression to describe a two-digit number whose unit's digit is 5 less than the ten's digit?
Answer:
Let x= the ones digit
Then x+5=the tens digit
Hence the equation is: 10(x+5)+x=x+5+x+63
10(x+5)+x=x+5+x+63
10x+50+x=2x+68
11x+50=2x+68
-2x-50 -2x-50
---------------------
9x=18 Divide both sides of the equation by 9
x=2
Hence the number is 10(2+5)+2=10(7)+2=70+2=72.
MUST SHOW WORK.
please do this ASAP!
This is about numerical expressions!
[tex]{\huge\fcolorbox{blue}{black}{\pink{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: Solution\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}}[/tex]
[tex]2(4 - 1) {}^{2} - 3 + 2(5) \\ \\ = 2(3) {}^{2} - 3 + 2(5) \\ \\ = 2 \times 9 - 3 + 2(5) \\ \\ = 18 - 3 +2(5)\\ \\ =>15-10 = 25[/tex]
Hope This Helps You[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{2(4 - 1)^2 - 3 + 2(5)}[/tex]
[tex]\mathsf{4 - 1 = \bf 3}[/tex]
[tex]\mathsf{= 2(3^2) - 3 + 2(5)}[/tex]
[tex]\mathsf{3^2}\\\mathsf{= 3\times3}\\\mathsf{= \bf 9}[/tex]
[tex]\mathsf{= 2(9) - 3 + 2(5)}[/tex]
[tex]\mathsf{2(9)}\\\mathsf{= \bf 18}[/tex]
[tex]\mathsf{= 18 - 3 + 2(5)}[/tex]
[tex]\mathsf{18 - 3}\\\mathsf{= \bf 15}[/tex]
[tex]\mathsf{= 15 + 2(5)}[/tex]
[tex]\mathsf{2(5)}\\\mathsf{= \bf 10}[/tex]
[tex]\mathsf{= 15 + 10}\\\mathsf{= \bf 25}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf{25}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day! }[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Cho tứ diện ABCD . Trên cạnh AB lấy điểm M , AC lấy N , trong tam giác BCD lấy điểm P tìm giao điểm
a, MP và (ACD)
b, AD và ( MNP)
c , BD và ( MNP)
Answer:
a. Trong mp (BCD), nối BP cắt CD tại E
Trong mp (ABP), nối MP cắt AE kéo dài tại F (trong trường hợp MP không song song AE)
⇒F=MP∩(ACD)⇒F=MP∩(ACD)
b. Nếu MN cắt BC, kéo dài MN cắt BC tại G
Nối GP cắt BD tại H
Trong mặt phẳng (ABD), nối MH cắt AD tại K (trong trường howph MH ko song song AD)
⇒K=AD∩(MNP)⇒K=AD∩(MNP)
c. H=BD∩(MNP)
Step-by-step explanation:
What is the total area of the figure below?
Step-by-step explanation:
As we know that,
In area of triangle , breadth =6inch,similarily ,height =8inch
now ,
Area of triangle = 1/2 ×b×h
= 1/2 × 8 ×6
=24inch^2
also,
In another figure,we can say
a=10 inch,b=16 inch and h=9 inch
similarly,
Area of trapizium = 1/2 h(a+b)
= 1/2 ×9(10+16)
=9/2 ×26
=9×13
=117inch^2
now ,
total area of figure =117 +24 =141inch^2
therefore,total area of figure is 141 inch^2
Help anyone can help me do the question,I will mark brainlest.
Answer:
Step-by-step explanation:
S=pi*R^2=(area of the sector)*(360/angle of AOB)
so 22/7*9^2=99*360/angle of AOB
-> AOB=140
perimeter of circle: 2*pi*R
permiter of sector : 2*pi*140/360*R+ 2R=22+9*2=40
helphelphelphelphelphelp
Answer:
E - (8,-9)
F - (9,-9)
G - (9,-4)
Step-by-step explanation:
The first number in the bracket relates to the x-axis
The second number relates to the y-axis
Write the digits used in binary number system
Answer:
Binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically "0" (zero) and "1" (one). The base-2 numeral system is a positional notation with a radix of 2.
log 55 is the power to which ---- must be raised in order to produce a value of 55
Answer:
10
Step-by-step explanation:
just took the quiz
Find the area of the circle.
Use 3.14 for n. Do not round your answer.
Hint: A = tr2
18 inches
Area = [?] inches
Enter the number that
belongs in the green box.
Answer: 254.34
Step-by-step explanation: 3.14(9*9)=254.34
Can someone help with this please
Step-by-step explanation:
5.
[tex]3\cdot 10^{8} : 1000 = 3\cdot 10^{8} : 10^{3} =3 \cdot 10^{8-3} =3 \cdot 10^{5}[/tex]
Answer: [tex]3 \cdot 10^{5}[/tex]
6.
[tex]\dfrac{0.0046}{0.000000000513} =\dfrac{46 \cdot 10^{-4} }{5.13 \cdot 10^{-10} } =\dfrac{46 \cdot 10^{-4-(-10)}}{5.13} =\dfrac{46 \cdot 10^{6}}{5.13} \approx 9 \cdot 10^{6}[/tex]
Answer: [tex]9 \cdot 10^{6}[/tex]
Is 9/72 rational or irrational
i think answer is rational
Answer:
Rational
Step-by-step explanation:
The Numerator and Denominator is a whole number and its a fraction
What is the minimum Valium of this function? F(x)=150•sin(3•x)
A=150
B=-150
C=200
D=-200
Answer:
B -150.
Step-by-step explanation:
The minimum value of a sine is -1
So the answer is 15 * - 1 = -150.
Answer:
-150
Step-by-step explanation:
F(x)=150•sin(3•x)
The minimum that sin takes is negative 1
so 150(-1) = -150
The minimum of f(x) is -150
What is the value of the expression 3.9x10^5/1.3x10^2?
I will mark Brainliest whoever person I actually trust.
Answer:
3 * 10 ^3
Step-by-step explanation:
Divide the numbers
3.9 / 1.3
3
Subtract the powers of 10
10^5 / 10^2 = 10 ^ (5-2) = 10^3
The result is 3 * 10 ^3
[tex] \frac{3.9 \times {10}^{5} }{1.3 \times {10}^{2} } \\ = \frac{3.9}{1.3} \times {10}^{5 - 2} \\ = 3.0 \times {10}^{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Factor the expression
Thank you so muchh
Answer:
(x+8)(x-5)
Step-by-step explanation:
x^2 +3x-40
What two numbers multiply to -40 and add to 3
8 * -5 = -40
8+-5 = 3
(x+8)(x-5)
Answer:
(x + 8)(x - 5)
Brainliest, please!
Step-by-step explanation:
(x + )(x - )
Factors of 40: 1 and 40, 2 and 20, 4 and 10, 5 and 8
(x + 8)(x -5)
Find the number of bit strings that satisfies the given conditions. The bit strings of length 11 having at least four 1s
Answer:
Step-by-step explanation:
If I start a road trip with 10,425 miles on my auto meter and I end it with 23,840 miles showing how many miles was my trip
Answer:
13,415 miles
Step-by-step explanation:
Final position - initial position = Miles traveled:
23,840 miles - 10,425 miles = 13,415 miles
at old oak farm, there are chicken and horses. there are 120 legs and 48 heads altogether. how many horses and how many chickens are there?
Answer:
Step-by-step explanation:
We must use system of equations:
horses = h chickens = c
horses have 4 legs & chickens have 2 and there are 120 legs total so to set up the first part of the equation...
4h + 2c = 120
They both have only 1 head each and there are 48 heads total so to set up the second part of the equation...
h + c = 48
Now we combine the equations and solve:
4h + 2c = 120
h + c = 48
Now we solve...
4h + 2c = 120
h = 48 - c (subtract c on both sides to single out h)
--------------------
4(48 - c) + 2c = 120
192 - 4c + 2c = 120
-192 -192
----------------------------
-2c = -72 (divide both sides by -2)
c = 36
Now we go back and find the value of h...
h = 48 - c
h = 48 - 36
h = 12
So there are 36 chickens & 12 horses!
giá tiền cước của một hãng taxi được tính như sau :giá mở đến 1km đầu là 12000 đồng ; 10500 đồng/km cho 20 km tiếp theo và 99000 đồng/km cho những km còn lại . Hỏi ông sáu đi từ nhà đến khu du lịch sinh thái Bò Cạp Vàng với quãng đường 62km bằng taxi của hãng đó hết bao nhiêu
Answer:
Ông sáu sẽ mất 4281000 đồng
อ
Water scarcity is increasing for all of the following reasons except
A. demand is increasing
B. the population of the globe is increasing
C. the amount of freshwater on Earth is decreasing
D. more land is being farmed
Please select the best answer from the choices provided
B
Ο Ο Ο Ο
С
D
Answer:
The Answer is C .............
Answer:
D
Step-by-step explanation:
You could see this both ways but I think this is the best answer because land is not saying the specifics for water
Hope this helps <3
Need more thanks? Comment /hearts
If I can read 10 pages in 50 minutes, how many pages will I read in an hour and a half
Answer:
18 pages
Step-by-step explanation:
that means you can read 2 pages in 10 minutes.
an hour and a half is 90 minutes.
90 is 9 times more than 10.
so we do 2 * 9 = 18 pages
For there is always light, if only we’re brave enough to see it.
If only we’re brave enough to be it.
Answer:
sun is the answer to absolutely
