Answer:
a) [tex]32[/tex]
b) [tex]25[/tex]
[tex]c) \: \frac{1}{16} [/tex]d) [tex]30[/tex]
Step-by-step explanation:
[tex]a) \: {2}^{5} [/tex][tex](2 \times 2 \times 2 \times 2 \times 2 \times)[/tex]
[tex]32[/tex]
[tex]b) \: {5}^{3} [/tex][tex](5 \times 5 × 5)[/tex]
[tex]125[/tex]
[tex]c) \: ( \frac{1}{4} {)}^{2} [/tex][tex] \frac{ {1}^{2} }{ {4}^{2} } [/tex][tex] \frac{(1 \times 1)}{(4 \times 4)} [/tex][tex] \frac{1}{16} [/tex][tex]d) \: \sqrt{900} [/tex][tex] \sqrt{ {30}^{2} } [/tex]
[tex]30[/tex]
Hope it is helpful....i really need help!!!
Jason, Lewis, and Nora will be placed in a line along with 7 other people.
What is the probability that they will be next to each other in any order?
Give percentage
Answer:
[tex]Pr = 6.67\%[/tex]
Step-by-step explanation:
Given
[tex]n = 10[/tex] i.e. 10 people
Required
Probability of being next to each other
First, we calculate the total possible arrangements (without any restriction)
[tex]Total = n![/tex]
[tex]Total = 10![/tex]
If the three are to be next to each other,
First, we arrange the three
[tex]r_1 = 3![/tex]
Now, the 3 will be seen as 1; so, we have a total of 8 people i.e. (1 + 7 others)
The arrangement is:
[tex]r_2 =8![/tex]
So, the total arrangement, when they have to be next to one another is:
[tex]r = r_1 * r_2[/tex]
[tex]r = 3! * 8![/tex]
The probability is:
[tex]Pr = \frac{r}{n}[/tex]
[tex]Pr = \frac{3! * 8!}{10!}[/tex]
Expand
[tex]Pr = \frac{3*2*1 * 8!}{10*9*8!}[/tex]
[tex]Pr = \frac{3*2*1}{10*9}[/tex]
[tex]Pr = \frac{6}{90}[/tex]
[tex]Pr = 0.0667[/tex]
Express as percentage
[tex]Pr = 0.0667 * 100\%[/tex]
[tex]Pr = 6.67\%[/tex]
HELP ASAP (Brainliest)
What is the area of this figure?
Enter your answer in the box.
please help asap!!!!!
Answer:
No
Step-by-step explanation:
if both equations begin with 'y=' then we can set the expressions equal to each other:
-x+1 = -x+5
1 ≠ 5 ∴ there are no solution to this system of equations
Factor 49p – 35q.
Write your answer as a product with a whole number greater than 1.
Answer:
7(7p-5q)
Step-by-step explanation:
49p-35q
7(7p-5q)
What is the least common multiple of 8 and 18?
A
16
B
36
С
72
D
144
Answer:72
Step-by-step explanation:
Answer: the answer is D
Step-by-step explanation:
Kaden will toss two dice. What is the probability of one die landing on a number less
than 3, and the other landing on a number greater
than 5?
A.1/6
B.1/12
C.1/9
D.1/18
Answer: b
Step-by-step explanation:
A rectangular room is 7 times as long as it's wide and it's perimeter is 64metres. Find the dimension of the room.
Answer:
Length = 28 meters Width = 4 metersStep-by-step explanation:
Assume the width of the rectangle is x. That means that the length of the rectangle is 7x which is 7 times as long as it is wide.
Perimeter of a rectangle:
= Length + length + Width + Width
Therefore:
7x + 7x + x + x = 64
16x = 64
x = 64/16
x = 4 meters
Length is 7 times as long:
= 4 * 7
= 28 meters
Lily sells loose tea for $0.71 per gram. If one gram is equivalent to 0.035273 ounces, how much does it cost to buy 0.45 pounds of Lily’s tea?
a.
$108.70
b.
$144.93
c.
$536.77
d.
$715.69
Answer:
d
Step-by-step explanation:
Answer:
its right
Step-by-step explanation:
thank you. please answer asap!
Answer:
96 i think
Step-by-step explanation:
I think its 96. just multiply all the sides
find the sine of < I
Answer:
Step-by-step explanation:So for this question, you need to find side KI and you can find it with the pythagorean theorem
[tex]5^2+\sqrt{21}^2 = c^2[/tex]
25+21=c^2
46=c^2
c=sqrt46
c=6.78
sin(opposite/hypotnuse)
sin(sqrt21/ sqrt46) =.0117
Walter accepted a new job with an annual salary of $47,500. How much can he expect to earn after paying income taxes?
Answer:
$35625Step-by-step explanation:
He will pay 25% income tax as per table.
He will earn after tax:
47500*(1 - 0.25) = 47500*0.75 = 35625solve the equation. which out of the four choices is correct
Solve for x:
Plzzzzzzzzzz
Answer:
1: x=18 2: x=7 3: x=12
Step-by-step explanation:
1: 7x+3=9x-33
2x=36
x=18
2: 16x+(6x=26)=180
22x=154
x=7
3: (10x-17)-(2x-3)=90
8x-14=104
x=12
Answer and Step-by-step explanation:
1.
7x + 3 = 9x - 33
Subtract 7x from both sides, and add 33 to both sides of the equation.
36 = 2x
Divide both sides by 2.
x = 18
2.
6x + 26 + 16x = 180
Combine like terms.
22x + 26 = 180
Subtract 26 from both sides of the equation.
22x = 154
Divide 22 from both sides of the equation.
x = 7
3.
90 + 2x - 3 = 10x - 17
Add 17 to both sides of the equation, subtract 2x from both sides of the equation and combine like terms.
104 = 8x
Divide 8 from both sides of the equation.
x = 13
#teamtrees #PAW (Plant And Water)
Can someone please help me with math.
Answer:
b
Step-by-step explanation:
х
110°
70°
у
x = [? ]
Answer:
I believe it's 180 or 90
180?
Anyone know this?? I’m confused..
Answer:
jgh
side side side axioms
not sure
Answer:
[tex]\triangle CAB\cong \triangle ONP[/tex]
Step-by-step explanation:
Triangles [tex]\triangle CAB[/tex] and [tex]\triangle ONP[/tex] share two corresponding angles and the inclusive side between them. This is known as ASA (angle-side-angle) and does prove congruence. Therefore, [tex]\triangle CAB\cong \triangle ONP[/tex].
The four proofs of congruence include SSS (side-side-side), SAS(side-angle-side), ASA (angle-side-angle) and AAS (angle-angle-side). No other pair of triangles demonstrate any of these.
A new car cost $28,950. It loses 15% of its value each year. The formula V(t) = 28,950(1-0.15) models this situation. What does V(t) represent?
Answer:
the answer is 67789 because he will have enough money for the car to play
The claim that 20% of Americans know their credit score is tested. Suppose that the sample evidence causes us to fail to reject the null hypothesis claim that 20% of Americans know their credit score. State the final conclusion in simple, nontechnical terms.
A. There is sufficient evidence to support the claim that the percentage of Americans who know their credit score is equal to 20%.
B. There is not sufficient evidence to reject the claim that the percentage of Americans who know their credit score is equal to 20%.
C. There is not sufficient evidence to support the claim that the percentage of Americans who know their credit score is not equal to 20%.
D. There is not sufficient evidence to support the claim.
Awnser and show your work <3
Answer:
Team A: 25 players
Team B: 24 players
Step-by-step explanation:
Team A:
to find the total # of players of the team we need to set up a fraction. 5 out out of an unknown number of players is equal to 1/5, so we set it up as:
[tex]\frac{5}{x} = \frac{1}{5}[/tex]
then we cross multiply to get
x*1 = 5*5
x=25 players
Team B
similarly to Team A
[tex]\frac{3}{x} = \frac{1}{8}[/tex]
cross multiply to get
x*1=3*8
x= 24 players
PLEASE ANSWER EEEEEEEEEEEEEEEEEEE
Answer:
5 x 4 x 3 = 60
Step-by-step explanation:
Do - H x L x W
H is 5
L is 4
W is 3
Pls what’s the answer
Answer:
D is correct option.
Step-by-step explanation:
g(x) =-3 root x-1.
No link please!! But please help!!
Given:
The radius of the circle X is XY.
Coordinates of X are (0,3) and coordinates of Y are (-3,-1).
To find:
The area of the circle.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The radius of the circle is the distance between the points X(0,3) and Y(-3,-1).
[tex]XY=\sqrt{(-3-0)^2+(-1-3)^2}[/tex]
[tex]XY=\sqrt{(-3)^2+(-4)^2}[/tex]
[tex]XY=\sqrt{9+16}[/tex]
[tex]XY=\sqrt{25}[/tex]
[tex]XY=5[/tex]
The radius of the circle is 5 units.
The area of the circle is:
[tex]A=\pi r^2[/tex]
Where, r is the radius of the circle.
Putting [tex]\pi=3.14, r=5[/tex] in the above formula, we get
[tex]A=(3.14)(5)^2[/tex]
[tex]A=(3.14)(25)[/tex]
[tex]A=78.5[/tex]
Therefore, the area of the circle is 78.5 square units.
The graph shows the line y= -3x - 6.
Complete the table so it includes two solutions to the equation.
Answer:
0 | -6
____
3 | -15
Step-by-step explanation:
just plug in the numbers they give u in the chart
when x = 0 -> y = -3*0-6 = -6
when y = -15 -> -15 = -3x-6 -> x = 3
The graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).
What is an equation of a line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given equation of the line is y = -3x - 6. the two points on the graph are satisfying the equation.
x = 0 , y = -3 x 0-6 = -6
y = -15 -> -15 = -3 x-6 -> x = 3
Therefore, the graph of the line y = -3x -6 is giving the solution (0,-6) and (3,-15).
To know more about an equation of the line follow
https://brainly.com/question/28732353
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What would be the algebraic rule for a dilation with a scale factor of 3?
Answer: multiply each point by 3. You would need to multiply both the x and y value in the point to find the new dilated point.
Step-by-step explanation:
I need help with this problem
Answer:
y= x+1
y= x-5
There are 0 solutions because the lines will never intersect (which is due to their slopes being the same).
Step-by-step explanation:
Because we don't have any numbers we're supposed to esitmate, but the important thing to realize is that the slopes are identical
so let's say our equations are
x+1
x-5
2.)
There are 0 solutions because the lines will never intersect (because their slopes are the same)
Answer:
see explanation
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
Therefore if the lines are parallel, they never intersect and hence there is no solution.
The lines given appear to be parallel and so there is no solution.
These box plots show the number of electoral votes won by Democratic and
Republican presidential candidates for the elections from 1984 through 2012
Republican
159
170
525
Democratic
299
3675
0
50
100
150
400
450
500
550
200 250 300 350
Electoral votes
Which statement best compares the spreads of the data sets?
Answer:
(a) is true
Step-by-step explanation:
Given
See attachment for box plots
Required
Which of the options is true?
Option A compares the IQR of both plots.
IQR is calculated using:
[tex]IQR = Q_3 - Q_1[/tex]
Where
[tex]Q_1 \to[/tex] Lower quartile
[tex]Q_2 \to[/tex] Upper quartile
From the attached plots, we have:
Republican
[tex]Q_1 = 170.5[/tex]
[tex]Q_3 = 356[/tex]
So:
[tex]IQR = 356 - 170.5[/tex]
[tex]IQR = 185.5[/tex]
Democratic
[tex]Q_1 = 181[/tex]
[tex]Q_3 = 367.5[/tex]
So:
[tex]IQR = 367.5 - 181[/tex]
[tex]IQR = 186.5[/tex]
We have:
[tex]IQR = 185.5[/tex] --- Republican
[tex]IQR = 186.5[/tex] --- Democratic
Hence, (a) is true
I WILL CROWN YOU BRAINLYIST HELP
A truck delivers 14,000 pounds of gravel.
How many tons are in 14,000 pounds?
Answer:
7000
Step-by-step explanation:
Thus the truck delivers 7 tons of gravel.
What is a unit conversion?"A unit conversion expresses the same property as a different unit of measurement. A conversion factor is a ratio that expresses how many of one unit is equal to another unit".
For the above situation,
A truck delivers 14,000 pounds of gravel.
We know that,
1 US ton = 2000 pounds
Thus, 14000 pounds = [tex]\frac{14000}{2000}[/tex]
⇒ [tex]7 tons[/tex]
Hence we can conclude that the truck delivers 7 tons of gravel.
Learn more about unit conversions here
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Simplify:
7x3 + 5x2 – 2 = [?]
X=-1
Answer:
so the answer for your question is -4
(10a⁵b⁴-15a⁴b⁵+5a³b³)÷(-5a³b³)
Answer:
[tex]\bold{-2a^2b+3ab^2-1}[/tex]Step-by-step explanation:
[tex](10a^5b^4-15a^4b^5+5a^3b^3)\div(-5a^3b^3)=\dfrac{10a^5b^4-15a^4b^5+5a^3b^3}{-5a^3b^3}=\\\\\\=\dfrac{10a^5b^4}{-5a^3b^3}+\dfrac{-15a^4b^5}{-5a^3b^3}+\dfrac{5a^3b^3}{-5a^3b^3}=-2a^2b+3ab^2-1[/tex]
What is the value of X in the equation x²-6x+9=25
Answer:
X = -2 or X = 8
Explanation: