Answers
Answer: -2²¹
Step-by-step explanation:
Convert each term into a power of 2.
Use the product rule of adding the exponents and the quotient rule of subtracting the exponents.
[tex]\dfrac{(-2)^3\times 4^4}{16^{-1}\times 8^{-2}}\quad =\dfrac{(-1)^3(2)^3(2)^{2(4)}}{(2)^{4(-1)}(2)^{3(-2)}}\qquad =-1^3\bigg(\dfrac{2^32^8}{2^{-4}2^{-6}}\bigg)[/tex]
[tex]=-1(2^{3+8-(-4)-(-6)})\qquad =-1(2^{3+8+4+6})\qquad =-2^{21}[/tex]
Answer:
-2^21
Step-by-step explanation:
(-2)^3*4^4=-8*(2^2)^4=-1*2*4*2^8=-1*2^9*2^2=
=-1*2^11
(16)^-1*8^-2=2^-4*2^-6=2^-10
-1*2^11/2^-10=-1*2^11*2^10=-2^21
Related Questions
Karyn wanted to cut three lengths of wood from a 10 foot long board. The length of threepieces she wanted to cut were feet, feet, and feet. How much of the 10 footboard would be left over?
Answers
Answer:
[tex]Wood\ remain = 1\frac{3}{4}[/tex]
Step-by-step explanation:
Note; given question is incomplete
Size of pieces = [tex]1\frac{2}{3} ,2\frac{3}{4} , 3\frac{5}{6}[/tex]
Given:
Size of wood = 10 ft
Find:
How much wood remain
Computation:
Wood remain = [tex]10-1\frac{2}{3} -2\frac{3}{4} - 3\frac{5}{6}[/tex]
[tex]Wood\ remain = 10-\frac{5}{3} -\frac{11}{4} - \frac{23}{6}\\\\Wood\ remain = 10 - \frac{99}{12} \\\\Wood\ remain = 1\frac{3}{4}[/tex]
Compare [tex]2^{\frac{1}{2} }[/tex] and [tex]3^{\frac{1}{3} }[/tex]
Answers
Greetings from Brasil...
Before comparing mixed fractions, let's make them inappropriate
2 1/2 = 5/2
3 1/3 = 10/3
Comparing fractions. (MMC - Maximum Common Multiple - I don't know that term in English)
2 1/2 = 5/2 = 15/6
3 1/3 = 10/3 = 30/6
30/6 > 15/6 then
3 1/3 > 2 1/20.00035
Write each number in scientific notation.
Answers
Step-by-step explanation:
For example, in order to multiply 832,000 by 0.00035, one converts first to scientific notation as follows: (832,000)×(0.00035)=(8.32×10 5)×(3.5×10 −4)=8.32×3.5×10 5×10 −4=29.12×10 1=2.912×10 2 (in scientific notation) or 291.2 (in ordinary notation).
Answer:
0.00035 = 3.5 × 10 to the -4
Hope it helps :)
Whoch of the following statements are true? Select all that apply
Answers
Answer:
C and D
atleast 20 characters to explain it well
How are the expressions 8 - 15 and 8 +(15) alike? How are they different?
Answers
Well, one thing they ahve in common is that they are both adding or subtracting the same numbers and of course, they are both expressions.
They are different because one expression is subtract both numbers while one expression is adding both numbers.
8 - 15 = -7
8 + 15 = 23
Best of Luck!
Q8
The midpoint of GH is M (2,2). One endpoint is H (1,9). Find the coordinates of endpoint G.
Answers
Answer:
(3,-5)
Step-by-step explanation:
Given
[tex]M = (2,2)[/tex]
[tex]H = (1,9)[/tex]
Required
Determine G
This is calculated using the following midpoint formula;
[tex]M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]
Where
[tex](x,y) = (2,2)[/tex] and [tex](x_1,y_1) = (1,9)[/tex]
Substitute these values in the formula above
[tex](2,2) = (\frac{1 + x_2}{2},\frac{9 + y_2}{2})[/tex]
Solving for [tex]x_2[/tex]
[tex]2 =\frac{1 + x_2}{2}[/tex]
Multiply both sides by 2
[tex]2 * 2 = 1 + x_2[/tex]
[tex]4 = 1 + x_2[/tex]
[tex]x_2 = 4 - 1[/tex]
[tex]x_2 = 3[/tex]
Solving for [tex]y_2[/tex]
[tex]2 = \frac{9 + y_2}{2}[/tex]
Multiply both sides by 2
[tex]2 * 2 = 9 + y_2[/tex]
[tex]4 = 9 + y_2[/tex]
[tex]y_2 = 4 - 9[/tex]
[tex]y_2= -5[/tex]
Hence, the coordinates of G is [tex](3,-5)[/tex]
Solve the equation for the specified variable.
S = BC-9, for B
B =
Algebra 1 btw
Answers
Find the value of x in the triangle shown below.
Answers
Answer:
50
Step-by-step explanation:
Because this is an isosceles triangle, the two bottom angles are equal.
180-80=100
100÷2=50°
The Ideal selling price for a certain car is $26,000. The make a good deal app indicates that local prices could vary by 6 percent. What is the lowest price you could expect to find?
Answers
Answer:
($26,000/100)*94 = $24,440
Step-by-step explanation:
Divide 26,000 by 100 and multyply by 94 (100% - 6%) = $24,440
A triangle has a perimeter of 77 centimeters. Each of the two longer sides of the triangle is three times as long as the shortest side. Find the length of each side of the triangle
Answers
Answer:
a = 33cm
b = 33cm
c = 11cm
Step-by-step explanation:
Let us say that the sides of the triangle are a, b and c
The perimeter of a triangle can be calculated by adding all three sides of the triangle.
Perimeter = a + b + c
Let side c be the shortest side of the triangle.
From the statement "Each of the two longer sides of the triangle is three times as long as the shortest side" we can have that
a = 3c and b = 3c
We can input these values into the perimeter of the triangle
Perimeter = 3c + 3c + c = 77
Perimeter = 7c = 77
c = 11
The shortest side, c is = 11 cm
side a is 3 X 11 = 33cm
side b = 3 X 11 = 33 cm
Which numbers are rational? The dots, . . . , indicate that the pattern continues. I. 9.9999999 . . . II. 9.234 III. 9.90990999 . . . Which numbers are rational?
Answers
PLEASE HELP ASAP
I don’t quite understand what it means im stuck between multiplication and Like Terms. Can someone please help me?
Answers
9x9+3x3=
what does that equal too
Answers
Answer:
252
9x9=81 +3=84
84x3=252
Answer:
90
Step-by-step explanation
(9x9)+(3x3) so first i multiplied 9x9= 81.
then i did 3x3 which is 9
then i added 9+81=90
so the answer is 90
Can someone help me please?
Answers
Answer:
X-16 the first one
Step-by-step explanation:
The first one is equal to x-4
Please help I’m not getting the right answer
Answers
Answer:
its c
Step-by-step explanation:
Pleease help me please im giving good points i thin
Answers
Answer:
Step-by-step explanation:
greatest to least
1. 7.81 x 10^1
2. √(61)
3. ∛(343)
4. .78
5. 7/9
6. 8%
Move theses numbers (0.1, 8/7, -1, 2/3, 0.05 )to the blanks to order them from least to greatest value.
Answers
Answer:
-1, 0.05, 0.1, 2/3, 8/7
Step-by-step explanation:
Answer:
[See Below]
Step-by-step explanation:
✦ First turn every number into a decimal that can be turned into a decimal:
✧ 0.1
✧ 1.14 (8/7)
✧ -1 (Can't be turned into a decimal)
✧ 0.66 (2/3)
✧ 0.05
✦ Now just order them from Least to Greatest:
✧ -1, 0.05, 0.1, 0.66, 1.14
~Hope this helps Mate. If you need anything feel free to message me.
A new Youth Activity Center is being built in Hadleyville. The perimeter of the rectangular playing field is 430 yards. The length of the field is 5 yards less than quadruple the width. What are the dimensions of the
playing field?
The width is yards.
The length is yards.
Answers
Answer:
Width = 44 yards
Length = 171 yards
Step-by-step explanation:
Given:
Perimeter of the rectangular field = 430 yards.
Let:
The length of the field be L
The width of the field be W.
From the question:
The length of the field is 5yards less than quadruple the width. This implies that;
L = 4W - 5
But.
Perimeter (P) of a rectangle is given by:
P = 2(L + W) ---------------(i)
Substitute the values of P = 430, L = 4W - 5 and W into equation (i) as follows;
430 = 2(4W - 5 + W)
430 = 2(5W - 5)
430 = 10W - 10
10W = 430 + 10
10W = 440
Divide both sides by 10
W = 44
Therefore, the width of the field is 44 yards.
Remember that,
L = 4W - 5
[Now substitute W = 44]
L = 4(44) - 5
L = 176 - 5
L = 171
Therefore, the length of the field is 171 yards
Factorise :
[tex] \sf{ {x}^{2} - 4x - 21 + 10y - {y}^{2} }[/tex]
Show workings too!
Answers
Answer:
(x - y + 3)(x + y - 7)
Step-by-step explanation:
x^2 - 4x - 21 + 10y - y^2
= x^2 - y^2 - 4x -21 + 10y
= (x - y)(x + y) - 4x + 10y - 21 Now -21 = + 3 * -7 and +3x - 7x =- 4x so we try:
= (x - y + 3)(x + y - 7)
- this expands to the original expression.
Answer:
(x+y-7)(x-y+3) is your answer
Step-by-step explanation:
x²-4x-21+10y-y²
x²-4x+2²-2²-21+10y-y²
(x-2)²-(y2-10y+25)
(x-2)²-(y-5)²
(x-2+y-5)+x-2-y+5)
(x+y-7)(x-y+3)
Does it make sense to represent the number 15.3 using scientific notation yes or no?
Answers
Answer:
Not really. No.
Step-by-step explanation:
15.3 in scientific notation would be represented as "1.53e+1." 15.3 isn't a very large or tiny number. Usually numbers that would be represented by scientific notation would be numbers such as "600,000,000" or "0.00000012" etc. 15.3 is just a standard decimal so it's not really practical.
Hope this helps and have a nice day!
Given that sin(90 -5ϴ) = Cos(180 - ϴ), Find the value of ϴ
Answers
Answer:
30°
Step-by-step explanation:
[tex] \because \: \sin(90 \degree - \theta) = \cos \theta \\ \therefore \: \sin(90 \degree - 5 \theta) = \cos 5\theta....(1) \\ \\ \sin(90 \degree - 5 \theta) = \cos(180 \degree - \theta)...(2) \\ from \: (1) \: and \: (2) \\ \cos 5\theta = \cos(180 \degree - \theta) \\ 5 \theta = 180 \degree - \theta \\ 5 \theta + \theta= 180 \degree \\ 6\theta= 180 \degree \\ \theta = \frac{180 \degree}{6} \\ \\ \huge \red{ \boxed{\theta = 30 \degree}}[/tex]
Ricardo está lendo um livro. Em um dia ele leu 1/3 do livro e no dia seguinte leu 1/6 do livro. Então calcule: a) A fração do livro que ele já leu b) A fração do livro que falta para ele terminar a leitura
Answers
Question is given in picture below. Help will be greatly appreciated!
Answers
Answer:
C
Step-by-step explanation:
Th explicit formula of a geometric sequence has the following format:
[tex]x_n=a(r)^{n-1}[/tex]
Where a is the initial term and r is the common ratio.
From the recursive formula, we can see that each subsequent term is multiplied by 13. Thus, the common ratio is 13.
Also, we are given that the first term is 7.
So, substituting these in, we have:
[tex]x_n=7(13)^{n-1}[/tex]
Our answer is C
And we're done!
Min-jun has a swimming pool that needs to be drained. His pool holds
10,874.5 gallons of water and will need to drain completely in 10.7
hours. What is the change in the water level per hour for Min-jun's
swimming pool? Round your answer to the nearest hundredth.
Answers
Answer:
The change in the water level per hour for Min-Jun's swimming pool is 1016.31 Gallons per hour.
Step-by-step explanation:
Since we have a total amount of 10,874.5 gallons and 10.7 hours total to drain the full pool we divide the total amount by the total time, assuming that the pool drains at a constant rate. When we divide 10,874.5 by 10.7 we get 10.16.3084... and rounding it to the nearest hundreth or the second decimal place we get 1,016.31 gallons per hour.
If m∠EBD = 36 °and m∠DBC = 108 ° , find m∠EBC
Answers
this is the answer of this question you have send If m∠EBD = 36 °and m∠DBC = 108 ° , find m∠EBC
help ASAPPP !!!!!!!!!!!!!!!!!!!Find the midpoint of the line segment joining points A and B.
A(6,- 7); B(2,3)
Answers
Answer:
(4,-2)
Step-by-step explanation:
coordinate of midpoint(x1+x2)/2, (y1+y2)/2
x1=6, x2=2 , y1=-7, y2=3
x=6+2/2 ⇒8/2=4
y=-7+3/2 ⇒ y=-4/2=-2
(4,-2)
estimate the value of √13. round to the hundredths.
Answers
[tex]\sqrt{13}[/tex] = 3.60555127546
rounded to the nearest hundredth:
3.61
solve 3(2d-1)-2d=4(d-2)+5
Answers
Answer:
Any value of D would make this equation true (-∞,∞)
Answer:
infinitely many solutions
Step-by-step explanation:
i ready
solve the equation for x
Answers
Answer
x = 15Step-by-step explanation:
[tex] \sf{ \frac{40}{x + 1} = \frac{15}{6} }[/tex]
Do cross multiplication
[tex] \dashrightarrow{ \sf{15(x + 1) = 40 \times 6}}[/tex]
Distribute 15 through the parentheses
[tex] \dashrightarrow \sf \: 15x + 15 = 40 \times 6[/tex]
Multiply the numbers : 40 and 6
[tex] \dashrightarrow{ \sf{15x + 15 = 240}}[/tex]
Move 15 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{15x = 240 - 15}}[/tex]
Subtract 15 from 240
[tex] \dashrightarrow \: \sf{15x = 225}[/tex]
Divide both sides by 15
[tex] \dashrightarrow{ \sf{ \frac{15x}{15} = \frac{225}{15} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 15}}[/tex]
Hope I helped!
Best regards! :D
what sequence of transformations on the red triangle will map it onto the missing portion of the square
Answers
Answer:
Answer is C.) a 90° counterclockwise rotation about the origin and then a translation 16 units right and 16 units up
Step-by-step explanation:
Rotating the triangle 90° counterclockwise will take the triangle to 3rd quadrant and then further moving it 16 steps right will take it to 4th quadrant and followed by 16 steps upward will take it to the desired position which is in 1st quadrant.