Answer:
answer is 18096.
Step-by-step explanation:
12,4×10=124
124-(4+4)=124-8=116
(1,5×104)=156
116×156=18096
Given the universal set U consisting of all integers between and including 1 and 20, and let the set A consist of all of the powers of 2 (integers of the form 2n where n is a whole number) within the universal set. Find the complement of the set A. Write your answer in proper set notation, for example {1,2,3,4,5,6}.
Answer:
[tex]\begin{aligned}\lbrace & \; 3,\, 5,\, 6,\, 7,\, 9,\, 10, \\ &\; 11,\, 12,\, 13,\, 14,\, 15,\, 17, \\ &\; 18,\, 19,\, 20\rbrace\end{aligned}[/tex].
Step-by-step explanation:
The integer powers of [tex]2[/tex] between [tex]1[/tex] and [tex]20[/tex] are:
[tex]2^{0} = 1[/tex].[tex]2^{1} = 2[/tex].[tex]2^{2} = 4[/tex].[tex]2^{3} = 8[/tex].[tex]2^{4} = 16[/tex].Thus, [tex]A = \lbrace 1,\, 2,\, 4,\, 8,\, 16 \rbrace[/tex].
The complement of set [tex]A[/tex] (denoted as [tex]A^{C}[/tex]) includes all elements of the universal set [tex]U[/tex] that are not in set [tex]A\![/tex].
For example, the element [tex]1[/tex] is in [tex]U[/tex] and is also in [tex]A[/tex]. Thus, [tex]1[/tex] isn't in [tex]A^{C}[/tex].
The element [tex]3[/tex] is in [tex]U[/tex] and isn't in [tex]A[/tex]. Thus, [tex]3[/tex] is in [tex]A^{C}[/tex].
Repeat this decision process for each element of [tex]U[/tex] to enumerate [tex]A^{C}[/tex]:
[tex]\lbrace 3,\, 5,\, 6,\, 7,\, 9,\, 10, \, 11,\, 12,\, 13,\, 14,\, 15,\, 17, \, 18,\, 19,\, 20\rbrace[/tex].
What is the equation in point slope form of the line that passes through the point (2 , 4) and has a slope of 3?
Question 4 options:
y=3x-10
y-4=3(x-2)
y+4=3(x+2)
Solution:
Step-1: Use point slope form.
y - y₁ = m(x - x₁)=> y - 4 = 3(x - 2) [Option B]Step-2: Identify the equation of the line.
=> y - 4 = 3x - 6=> y = 3x - 6 + 4=> y = 3x - 2Option B is correct.
Equation in point slope form
[tex]\\ \rm\Rrightarrow y-4=3(x-2)[/tex]
[tex]\\ \rm\Rrightarrow y-4=3x-6[/tex]
[tex]\\ \rm\Rrightarrow 3x-y-6+4=0[/tex]
[tex]\\ \rm\Rrightarrow 3x-y-2=0[/tex]
Numbers Write the mixed number as a fraction.
What is the area of the rectangle in square units? Explain how you found your answer.
Answer:
Area of rectangle is L*B
Lm *Bm
L*Bm²
3/4 of a number is greater than 3/16 of the same number by 81. What is 1/2 of the number?
Answer:
72
Step-by-step explanation:
The given word description can be translated to math symbols this way, when x represents the number:
3/4x -3/16x = 81
Multiplying by 16 gives ...
12x -3x = 1296
9x = 1296 . . . . . . simplify
We want to find the value of half the number, so we can divide this by 18 to get ...
x/2 = 1296/18 = 72
Half the number is 72.
Please help!
Find the average rate of change of g(x)=2x2-8x from x=2 to x=5
Answer:
The average rate of change is 20.
Step-by-step explanation:
To find the answer, plug in the 2 and 5 for x.
g(2) = 2(2)^2 - 8(2)
g(2) = 16 - 16
g(2) = 0
g(5) = 2(5)^2 - 8(5)
g(5) = 100 - 40
g(5) = 60
g(5)-g(2)/5-2 = the average rate of change
60/3=20
New data collected on roller coasters, comparing height of the initial drop to
the speed of the coaster, found that the regression line equation is actually y 0.502x +12.250.
The regression line equation y = 0.502x +12.250 is a linear regression
The predicted speed at a drop of 100 feet is 62.45The predicted speed at a drop of 500 feet is 263.25It is unlikely that the speed of the roller coaster would reach 263.25The predicted speed at a drop of 100 feetThe regression line equation is given as:
y = 0.502x +12.250
Substitute 100 for x
y = 0.502 * 100 +12.250
Evaluate the sum
y = 62.45
The predicted speed at a drop of 500 feetThe regression line equation is given as:
y = 0.502x +12.250
Substitute 500 for x
y = 0.502 * 500 +12.250
Evaluate the sum
y = 263.25
It is unlikely that the speed of the roller coaster would reach 263.25
Read more about regression line equations at:
https://brainly.com/question/6774275
Ari restaurant, all the freezers are set to a temperature that is below 3°F.
Let X be the temperature of the freezer. Which inequality represents temperatures below 3°F?
2 <-3
2-3
3 <3
2 > 3
Answer:
Answer is A
Step-by-step explanation:
X is below -3
Answer:
x>3=2>3
Step-by-step explanation:
Anthony bought a Bulls jersey that was originally priced $80 but was on sale for a discount of 50% off. What was the sale price of the jersey
Answer:
40 dollar
Step-by-step explanation:
half of 80 is 40
Answer:
40$
Step-by-step explanation:
sale price(S.P.)=discount% of M.P.(marked price)
S.P.=50% of 80$
S.P=50/100*80$
Hence,S.P.(selling price)=0.5*80$=40$
A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at
random from the bag.
What is the probability that the marble drawn will not be blue?
A. 2/6
B.3/4
C.7/6
D.7/8
Answer:
7/9
Step-by-step explanation:
If the marble is not blue, the marble is either green, yellow or orange. That means we can add up 6, 12, and 10 to get 28. The total number of marbles in the bag is 36.
The probability that the marble will not be blue is 28/36. This can be simplified to 7/9
Hope this helps!
Alex wishes to have R30000.00 available to buy a car in four years' time. The bank pays 9.75%.interest per year, compounded semi-anmually. How much should he invest in a savings account now so that he will be able to do this?
what is bird flu? when was it first detected among human?
Hcf of 84 and 49 I'm so lazy
Answer:
7HCF of 49 and 84 is 7.
Step-by-step explanation:
mark me brainliest
PLEASE HELP URGENT!!! Cannot figure this out, due tonight.
Answer:
f(x+h) = (2x² -x +2) +4xh -h +2h²(f(x+h) -f(x))/h = 4x -1 +2hStep-by-step explanation:
Like a lot of algebraic manipulation associated with average rate of change, it is not difficult, but it can be tedious.
a)[tex]f(x+h)=2(x+h)^2-(x+h) +2 = 2(x^2 +2xh +h^2)-x -h +2\\\\\boxed{f(x+h)=2x^2-x+2+4xh-h+2h^2}[/tex]
__
b)Then the difference quotient is ...
[tex]\dfrac{f(x+h)-f(x)}{h}=\dfrac{(2x^2-x+2)+4xh-h+2h^2-(2x^2-x+2)}{h}\\\\=\dfrac{4xh-h+2h^2}{h}\\\\\boxed{\dfrac{f(x+h)-f(x)}{h}=4x-1+2h}[/tex]
Simplify
Find the answer
Answer:
b³
Step-by-step explanation:
The division symbol between the two terms represents a "subtraction symbol", meaning you have to subtract the exponents like this:
[tex]b^5 - b^2[/tex] [tex]b^5^-^2[/tex] [tex]b^3[/tex]Thus, the answer is b³
Which is the volume of the solid? The solid is made up of 2 cuboids. First cuboid has length as 4 unit cubes, height as 1 unit cubes and width as 2 unit cubes. Second cuboid has length as 1 unit cube, height as 3 unit cubes and width as 2 unit cubes.
A. 14 cubic units
B. 16 cubic units
C. 21 cubic units
D. 35 cubic units
Answer:
14 cubic units
Step-by-step explanation:
The Formula for Volume is
V = L x W x H
Since there are 2, you need to add the two totals together.
Cubic one:
4 x 1 x 2 = 8 (it also doesn't matter what order you put your numbers in, you will still get the same outcome. Its called the commutative property of multiplication)
Cubic Two:
1 x 3 x 2 = 6
Now just add the totals together:
6 + 8 = 14
Here, we have to find the volume of the solid which is made up of two cuboid. We know that the volume of cuboid is given by:
V = l × w × hThe volume of the solid will be equal to the sum of volume of given two cuboid
For 1st cuboid :
l = 4 unit h = 1 unit w = 2 unitTherefore, Volume:
➝ V = l × w × h
➝ V = 4 × 2 × 1
➝ V = 8 unit³
For 2nd cuboid:
l = 1 unitw = 2 unitsh = 3 unitsTherefore, Volume:
➝ V = l × w × h
➝ V = 1 × 2 × 3
➝ V = 6 unit ³
Now, Volume of solid :
ㅤㅤㅤ➙ sum of V of cuboid
ㅤㅤㅤ➙ 8 + 6
ㅤㅤㅤ➙ 14 unit ³
Fatima has some pens
she gives 3/10 of her pens to her brother
she gives her brother 12 pens
how many pens is she left with?
Show your working
Answer:
28
Step-by-step explanation:
3/10 x X= 12
X=12/(3/10)
X=40 she has 40 pens altogether then she gave 12 to her brother so 40-12=28
=
For the function f(x) = x2 – 6, find the equation of the tangent line at
X = -1.
Answer:
[tex]y = - 2x - 7[/tex]
Step-by-step explanation:
One way is to differentiate the function
[tex] \frac{d}{dx} {x}^{2} - \frac{d}{dx} 6[/tex]
Use Power Rule
[tex]2x - 0[/tex]
[tex]2x[/tex]
P
[tex] - 2[/tex]
Plug in -1 so we get
That gives us the slope of the tangent line. we must find the point it passes through.
[tex]( - 1) {}^{2} - 6 = - 5[/tex]
So it have a slope of -2 and passes through (-1,-5)
So we use point slope form
[tex]y + 5 = - 2(x + 1)[/tex]
[tex]y = - 2x - 7[/tex]
e
Find the area of this shape.
Not to scale
14.1 cm
15.5 cm
12.0 cm
17.4 cm
Answer:
220.35
Step-by-step explanation:
Think of this rectangle of as two horizontal rectangles. The area of the bottom one is expressed by 17.4*12
The area of the top rectangle can be expressed by 3.3*3.5, as 17.4-14.1=3.3 and 15.5-12=3.5.
Add the products for the whole area.
find value of x in x+10=20 with equation
Answer:
x = 10Step-by-step explanation:
[tex]x + 10 = 20\\x = 20 - 10\\x = 10[/tex]
Answer:
10
Step-by-step explanation:
x+10=20
x=20-10
=10
NO LINKS!!! Part 6 Please help me with this problem
Answer:
14.93
Step-by-step explanation:
tan x = 4/15
tan x = 0.2666666667
x = inv tan 0.2666666667
x = 14.9314171799
x = 14.93
Hope this helps :)
Answer:
14.93°
step-by-step explanation:
Find the distance, (opposite side) above the basketball player:
distance: 10 ft - 6 ft = 4 ft
Given the distance(adjacent side) from the pole to player:
distance = 15 ft
Using tan rule:
[tex]\rightarrow \sf tan(?) = \dfrac{opposite }{adjacent}[/tex]
[tex]\rightarrow \sf tan(?) = \dfrac{4}{15}[/tex]
[tex]\rightarrow \sf ? = tan^{-1}(\dfrac{4}{15} )[/tex]
[tex]\rightarrow \sf ? = 14.93^{\circ \:}[/tex]
On a piece of paper graph this system equation y=x-2 y= x2-6x+8
Here below is the graph. You can graph this by yourself by plotting point by point to get the same result.
what is 7/9 - ?/9 = 2/3
Answer:
It's 1/9
Step-by-step explanation:
Multiply 2/3 x 3/3 to equal the denominator with the 7/9 and the ?/9. 2/3 turns into 6/9. 7/9 - 6/9 is 1/9.
The answer is 1/9
Each week Raisa earns $5.25 for doing chores. After saving money for 12 weeks, Raisa spends $13.45. How much money does Raisa have left?
Answer:
$49.55
Step-by-step explanation:
She earns $5.25 every week for 12 weeks, so we multiply her weekly income by 12.
$5.25 * 12 = $63.00
Then she spends $13.45, so we deduct that from her earnings.
$63.00 - $5.25 = $49.55
That shows us that she has $49.55 left.
To be eligible for a program, a person must make a salary of more than $32,000 per year or less
than $10,000 per year. What is this in monthly salary?
Answer:
Less than $833.33 per month or greater than $2666.67
Step-by-step explanation:
→ Divide both figures by 12
32000 ÷ 12 = 2666.67
10000 ÷ 12 = 833.33
The points (-6,r) and (2,5) lie on a line with slope -1/4. Find the missing coordinate r.
Answer:
r = 7
Step-by-step explanation:
Calculate the slope using the slope formula then equate to - [tex]\frac{1}{4}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 6, r ) and (x₂, y₂ ) = (2, 5 )
m = [tex]\frac{5-r}{2-(-6)}[/tex] = [tex]\frac{5-r}{2+6}[/tex] = [tex]\frac{5-r}{8}[/tex] , then
[tex]\frac{5-r}{8}[/tex] = - [tex]\frac{1}{4}[/tex] ( multiply both sides by 8 to clear the fractions )
5 - r = - 2 ( subtract 5 from both sides )
- r = - 7 ( multiply both sides by - 1 )
r = 7
Answer:
[tex]\displaystyle 7[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m\\ \\ \frac{-r + 5}{6 + 2} = m \Rightarrow \frac{-r + 5}{8} \hookrightarrow -\frac{2}{8} = -\frac{1}{4} \\ \\ \boxed{7 = r}[/tex]
I am joyous to assist you at any time.
Can someone help me, please?
10 2/3 x 3 x 6 3/8
thx
Answer:
204
Step-by-step explanation:
Answer:
204
Step-by-step explanation:
Given the following question:
[tex]10\frac{2}{3} \times3\times6\frac{3}{8}[/tex]
In order to solve we will convert the mixed numbers into improper fractions and then solve by multiplying the numerators by the numerators and multiplying the denominators by the denominators.
[tex]10\frac{2}{3} \times3\times6\frac{3}{8}[/tex]
[tex]10\frac{2}{3} \times3[/tex]
[tex]10\frac{2}{3} =3\times10=30+2=32=\frac{32}{3}[/tex]
[tex]3=\frac{3}{1}[/tex]
[tex]\frac{32}{3} \times\frac{3}{1}[/tex]
[tex]32\times3=96[/tex]
[tex]3\times1=3[/tex]
[tex]=\frac{96}{3}[/tex]
[tex]\frac{96}{3}\times6\frac{3}{8}[/tex]
[tex]6\frac{3}{8} =8\times6=48+3=51=\frac{51}{8}[/tex]
[tex]\frac{96}{3}\times\frac{51}{8}[/tex]
[tex]96\times51=4896[/tex]
[tex]3\times8=24[/tex]
[tex]=\frac{4986}{24}[/tex]
Simplify by reducing:
[tex]=\frac{4986}{24}\div2=\frac{2493}{12}[/tex]
[tex]=\frac{2493}{12}[/tex]
[tex]\frac{2493}{12}[/tex]
[tex]=\frac{2493}{12}=2493\div12=204[/tex]
[tex]=204[/tex]
Your answer is indeed "204."
Hope this helps.
algebra work need help
please show working
Expand the left side:
(3x + 2) (5x + 1) = 15x² + 10x + 3x + 2 = 15x² + 13x + 2
Then a = 15 and b = 13, so a - b = 2.
Why use Elimination of unknowns instead of Cramer’s rules?
Step by step explanation:
Cramer's rule is used to solve a system of linear equations with n equations in n variables.The basis of this method is matrices and determinants, so we need to understand these two concepts first in order to be able to apply Cramer's Rule in finding solutions to a system of linear equations.
sorry if wrong
I hope this helps
Eloise needs 358 yards of fabric to make a costume
Answer:
So what do you need me to help you with because in a little new to this kind of thing
An experiment consists of drawing a single card from a standard deck of 52 cards. Event A is "drawing a heart and event B is "drawing a face card
(jack, queen, or king)."
Are events A and B dependent or independent? Why?
Select the option that correctly answers both questions.
O Events A and B are dependent, because P(A) + P(BLA).
O Events A and B are independent, because P(B) = P(B|A) -
O Events A and B are dependent, because P(B) P(BA).
O Events A and B are independent, because P(A) = P(BA) = 4
Answer:
I just took workbook 26.2 and the answer is
ANSWER: events a and b are independent, because p(b) = p(b | a) = 3/13
Step-by-step explanation: