Answer:
31
Step-by-step explanation:
Answer:
31
Step-by-step explanation:
Solution:
First we count the powers of $2$. We can compute $2^9=512$ and $2^{10}=1024$, so the largest power of $2$ which is smaller than $1000$ is $2^9$. Remembering that $2^{-n}$ is defined as $\dfrac{1}{2^n}$, we can see that the smallest power of $2$ which is larger than $\dfrac{1}{1000}$ is $2^{-9}$. Thus, we have the following list of powers of $2$:
\[2^{-9}, 2^{-8}, 2^{-7}, 2^{-6}, 2^{-5}, 2^{-4}, 2^{-3}, 2^{-2}, 2^{-1}, 2^0, \]\[2^1, 2^2, 2^3, 2^4, 2^5, 2^6, 2^7, 2^8, 2^9.\]
There are $19$ numbers in this list ($9$ with negative exponents, $9$ with positive exponents, and one more -- $2^0$).
We can count powers of $3$ in a similar way. The largest power of $3$ smaller than $1000$ is $3^6 = 729$. The smallest power of $3$ larger than $\dfrac{1}{1000}$ is therefore $3^{-6}$, or $\dfrac{1}{729}$. So we have these powers of $3$:$$3^{-6}, 3^{-5}, 3^{-4}, 3^{-3}, 3^{-2}, 3^{-1}, 3^0, 3^1, 3^2, 3^3, 3^4, 3^5, 3^6.$$We don't want to count $3^0$ again, though, because $3^0$ is $1$, which we already counted as $2^0$! There are $12$ other numbers in our list ($6$ with negative exponents and $6$ with positive exponents).
We don't have to worry about any other duplication between the lists, since $\allowbreak 2^1,2^2,2^3,\allowbreak \ldots,2^8,2^9$ are all even and $\allowbreak 3^1,3^2,3^3,\allowbreak 3^4,3^5,3^6$ are all odd. So, we have $19+12 = \boxed{31}$ different numbers in our two lists.
Find the perimeter and area of the polygon with the given vertices P(-3,4), Q(1,4), R(-3,-2), S(3,-2)
Answer:
Step-by-step explanation:
Find the perimeter and area of the polygon with the given vertices P(-3,4), Q(1,4), R(-3,-2), S(3,-2)
We find the length of the sides of this polygon using the formula:
√(x2 - x1)² + (y2 - y1)2
Where (x1, y1) and (x2, y2)
P(-3,4), Q(1,4)
= √(1 -(-3))² + (4 - 4)²
= √4²
= √16
= 4 units
Q(1,4), R(-3,-2)
= √(-3 - 1)² + (-2 - 4)²
= √-4² + -6²
= √16 + 36
= √52
R(-3,-2), S(3,-2)
= √(3 - (-3))² + (-2 - (-2))²
= √6²+ 0
= √36
= 6 units
P(-3,4), S(3,-2)
= √(3 - (-3))²+ ( -2 - 4)²
= √6² + -6²
= √36 + 36
= √72 units
What are the dimensions of the simple shapes you obtained in part C? List dimensions for all your decompositions (sets of shapes).
Answer:
Option 1
Figure Length (feet) Width (feet)
small rectangle 14 6
large rectangle 20 7
Figure Base (feet) Height (feet)
triangle 6 6
Option 2
Figure Length (feet) Width (feet)
small rectangle 6 7
large rectangle 14 13
Figure Base (feet) Height (feet)
triangle 6 6
Step-by-step explanation:
Answer:
The volume of a rectangular prism whose dimensions are l, w, and h is
V = l × w × h.
Option 1:
The length (l), width (w), and height (h) of the first prism are inches, 26 inches, and inches, respectively, so the volume of the first prism (V1) is
Step-by-step explanation:
Spanky's Sporting Goods is having a sale. All merchandise is 20% off the original price. The original price on a tennis racket is $78.99.
What is the sale price?
A
x
$15.80
B
x
$63.19
C
x
$157.98
D
x
$58.99
Answer:
B. $63.19
Step-by-step explanation:
You will pay $63.19 for a item with original price of $78.99 when discounted 20%. In this example, if you buy an item at $78.99 with 20% discount, you will pay 78.99 - 15.798 = 63.19 dollars.
6) Triangle RST has vertices R(2,3), S(5. -1), and T(3, -4). The triangle is rotated 90° counterclockwise about the origin. Which are the coordinates of the image of vertex T?
Answer:
T'(4, 3)Step-by-step explanation:
The rule of 90° counterclockwise rotation about the origin:
(x, y) → (-y, x)Apply the rule to the point T:
T(3, -4) → T'(4, 3)Answer:
A(x,y)____rotation through 90°. >A'(-y,x)
Step-by-step explanation:
T(3,-4))____rotation through 90°. >T'(4,3)
R(2,3))____rotation through 90°. >R'(-3,2)
S(5,-1))____rotation through 90°. >S'(1,5)
T-shirt Sale
Any 3 T-shirts for $14.50
$3.99
$6.99
$5.99
A) Tom bought these three T-shirts at the sale price of $14.50. How much money did he save compared
to the original total price of the T-shirts?
Answer:
add 3.99 + 6.99 + 5.99 = 16.97 divide 14.50 by 16.97 you will get .854 multiply by 100 it is %85.4 that is the percentage he paid then he saves 100 - 85.4 = %14.6
Evaluate the expression n^2-16
12
A scientist measured the wavelength of an orange light wave as 0.000000615 meters.
A second scientist measured the wavelength of a green light wave as 5.6 x 10-7 meters.
How much longer, in meters, was the orange light wave than the green light wave?
Answer:
it 5.5⋅10−^8m
Step-by-step explanation:
Unless I'm missing something important here, you can find the difference between the two wavelengths by subtracting one from the other. Since you're interested in finding how much longer the wavelength associated with the orange light is, subtract the wavelength of the green light from the wavelength of the orange light. You know that the two measured wavelengths are 6.15 ⋅ 10 − 7 m → orange light 5.6 ⋅ 10 − 7 m → green light Therefore, the difference between the two wavelengths will be Δ wavelength = 6.15 ⋅ 10 − 7 m − 5.6 ⋅ 10 − 7 m = 5.5 ⋅ 10 − 8 m
I need help on this and the person who answer this correctly gets a BRANLIST(answer if you know)
Answer:
A)
Step-by-step explanation:
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y
Sales tax in Idaho is 6%. If your grocery bill before sales tax was $50, how much will you have to pay in sales tax?
How do I solve the problem?
Answer:
$3.00
Step-by-step explanation:
6%=0.06----Convert the percentage into a decimal
0.06*$50=$3.00----Multiply the decimal by the total grocery bill and get $3.00!
Hope this helped
Will mark brain list
Answer:
36
Step-by-step explanation:
6+6=12 12+12=24 9+6=15 15+24=39
In a survey 80 students were asked to name their favorite subject.30 students sad. English was their favorite subject. What percent of the students surveyed said that the English was their favorite subject.∛
Answer:
37.5%
Step-by-step explanation:
30/80=37.5 percent
Answer:
37.5% of students say English is their favorite subject
Step-by-step explanation:
30/80=0.375----Divide the amount of students that like English(30) by the total amount of students who took the survey.(80)
0.375=37.5%----Turn your decimal answer to a percentage to get 37.5%!
SOMEONE HELP!!!!!!!!!!!!!!!
Answer:
Q= 5c
Step-by-step explanation:
In a lab experiment, 490 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 29 hours. How many bacteria
would there be after 8 hours, to the nearest whole number?
Answer:
593
Step-by-step explanation:
[tex]490(2)^8^/^2^9 = 593.25[/tex]
593.25 ≈ 593
The number of bacteria after 8 hours is 593.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Number of bacteria placed in petri dish = 490
Time required for bacteria to double = 29 hours
Number of bacteria after 8 hours is
⇒ [tex]490(2)^{\frac{8}{29} }[/tex]
⇒ [tex]490(2)^{0.2758}[/tex]
⇒ [tex]490(1.2107)[/tex]
⇒ [tex]593.25149[/tex]
⇒ [tex]593[/tex]
Hence we can conclude that the number of bacteria after 8 hours is 593.
Learn more about word problems here
brainly.com/question/20594903
#SPJ2
Mikeply o binomial by a trinomial
(x-1) (x²+x+1)
Answer:
See if this is helpful
Answer:
x³ - 1
Step-by-step explanation:
Given
(x - 1)(x² + x + 1)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x² + x + 1) - 1(x² + x + 1) ← distribute parenthesis
x³ + x² + x - x² - x - 1 ← collect like terms
= x³ - 1
help me pls !!!!!!!!!!
Answer: What do u need help with?
Step-by-step explanation:
which number is correct
Answer:
5
Step-by-step explanation:
Side QR is equal to PS.
QR = 2x + 3
PS = 4x - 7
Since both sides are equal, here is the equation:
2x + 3 = 4x - 7
x = 5
Dont put random stuff .................
Answer:
for the x+27
the value of X would be 76.5 bc the whole line is 180 degrees so you do x+27+x=180 then you solve
2x=153 then divide and you get 76.5
What is the area of this shape hurry
Answer:
15 units squared
Step-by-step explanation:
sorry if im wrong
Answer:
12
Step-by-step explanation:
Area of triangle + area of square + area of triangle = total area
(Area of a triangle: A = 1/2bh)
(Area of a square: A = bh)
Area of smallest triangle =
A = 1/2 (2) (2) = 2
Area of largest triangle=
A = 1/2 (2) (6) = 6
Area of the square =
A = 2 x 2 = 4
Total shape:
2 + 4 + 6 = 12
Emma is 14 years younger than twice fred age. Emma is 34. How old is fred
Answer:
24 years old
Step-by-step explanation:
34+14=48
48/2=24
Hope this helps =]
Answer:
82
Step-by-step explanation:
If Emma is 14 years younger then twice Fred's age, Then you add 7 to 34 with equals 41 then you want to do 41×2= which equals 82.
my math on that could be wrong and all you may have to do is add 34+14 but this kinda seems like a riddle thing but I hope I could help!!! ^-^
I NEED HEEEEEEELP-
But- People can you guys give me a straight answer? I'm tired and have a headache from all this. I need to make this assignment.
..........
Answer:
C= 93⁰, B= 64⁰, D= 23⁰
Step-by-step explanation:
180= (4x + 1) + (3x - 5) + x⁰
180= 4x+1 +3x-5 +x
180= 8x - 4
184= 8x
184/8= x
23=x
therefore
C= (4(23) +1)
C= 93
B= (3(23)-5)
B= 64
D= 23
93⁰+64⁰+23⁰=180⁰
In the data set {(7,7);(3,10);(5,9);(2,12);(0,1);(6,4);(4,10);(8,6)}, which point is a possible outlier?
(6,4)
(7,7)
(2,12)
(0,1)
The possible outlier may be [tex](0,1)[/tex] as the second component is not greater than second components of the remaining pairs in comparison.
How to determine the possible outlier
In this data set, we observe that data set observes the rule that first component increases inasmuch the second component of the ordered pairs decreases. Thus, the possible outlier may be [tex](0,1)[/tex] as the second component is not greater than second components of the remaining pairs in comparison. [tex]\blacksquare[/tex]
To learn more on ordered pairs, we kindly invite to check this verified question: https://brainly.com/question/11740961
A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many DUCKS are there?
Answer:
let no of pigs=x
ducks=y
x+y=10.....(1)
4x+2y=36
2x+y=18....(2)
by(1)..y=10-x
putting vvalue
2x+10-x=18
x=8
ducks=8
For problem 5, use the ordered pairs to answer the following question. SHOW YOUR WORK FOR FINDING SLOPE
Please can anyone give me the answer pleaseeeeeee
Answer:
what are the ordered pairs? then graph them and do the y axis number over the x axis number
Step-by-step explanation:
Solve the following inequality for w. Write your answer in simplest form
-w+9>6w+8
Answer:
-w+9>6w+8
-w+9 -8 >6w
-w+1>6w
1>7w
7w<1
w< 1/7
Step-by-step explanation:
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
w< 1/7
or
(-∞,1/7)
Max picked out an old Star Wars puzzle to put together. Out of the 250 pieces, he was missing 15.
What percentage of the pieces was he missing?
Answer:
ummm... like 6% Convert fraction (ratio) 15 / 250 Answer: 6%
Step-by-step explanation: i have brain i use it some times
10) 3x + x + x + x - 3 - 2 = 7 + x + x
In the equation above, what is the value of x?
Answer:
Step-by-step explanation:
x=3
HELp Giving out brainlest and more points
Answer:
A
Step-by-step explanation:
Answer should be A
Powers multiply so
2*3=6
4*3= 12
(8^6)/(4^12)
Answer:
[tex]\frac{8^6}{4^{12}}[/tex] A)
Step-by-step explanation:
[tex](\frac{8^2}{4^4} )^3\\\\\frac{8^6}{4^{12}}[/tex]
Exponent:
2 * 3 = 6
4 * 3 = 12
GIVING BRAINIEST IF CORRECT!!
Amanda slept for 1/3 of the day. She played with her friends for 1/5 of the day. She spent the rest of the day working on a school project. What fraction of the day did she spend working on her project?
Answer:
She spent 7/15 of the day working on her project.
Step-by-step explanation:
Well we cant get a clear answer with the fractions 1/3 and 1/5, so we are going to have to turn them into equivalent fractions.
3 and 5 both have 15 LCD so:
1/3 x 5/5 = 5/15
1/5 x 3/3 = 3/15
5/15 + 3/15 = 8/15
15/15 - 8/15 = 7/15
She spent 7/15 of the day working on her project.
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Help I only have about 25 minutes left to finish this. I risk failing if I don't get this answered. I have 4 more questions after this. HELP PLZ. This is Slope Intercept form still. I will award 100 pts again
Answer:
y = 6x - 20
Step-by-step explanation:
Perpendicular slope = 6
(3, -2)
y - y1 = m(x - x1)
y + 2 = 6(x - 3)
y + 2 = 6x - 18
y = 6x - 20
Answer:
Solution given:
equation of a line is:
y=-⅛x+4.......[1]
Comparing above equation with y=mx+c
we get
slope [m]=-⅛
let slope of another line is M
since the Lines are perpendicular
so m ×M=-1
we get
M=8
again
the another line passes through(x1,y1) (3,-2)
Equation of another line becomes:
(y-y1)=m2(x-x1)
(y+2)=8(x-3)
y+2=8x-24
8x-y=24+2
8x-y=26
[tex] \frac{8x}{26} - \frac{y}{26} = 1[/tex]
[tex] \frac{4x}{13} - \frac{y}{26} = 1[/tex]
is a required equation of a line in slope intercept form.
Could someone send me answers, not some annoying link? I need help, not a virus.
Answer:
Equation: [tex]y=-\frac{1}{2} x+20[/tex]
20 represents the y-intercept. It is the initial value.
The slope is -1/2. It means that every gallon of gasoline used is used to shovel 2 driveways.