Answer:
1
Step-by-step explanation:
(3²-2³)⁶⁶ = (9 - 8)⁶⁶ = (1)⁶⁶ = 1
(3²-2³)⁶⁶ total is 1
To evaluate (3²-2³)⁶⁶, we will first simplify the expression we have in the bracket before carrying out the power operation
From (3²-2³)⁶⁶
(3²-2³) can be simplified as shown below
3² = 3 × 3 = 9
and
2³ = 2 × 2 × 2 = 8
∴ (3²-2³) = (9 - 8) = (1)
∴ (3²-2³)⁶⁶ becomes (1)⁶⁶
(1)⁶⁶ = 1
(NOTE: 1 raised to any power is 1)
Hence, (3²-2³)⁶⁶ total is 1
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d to master them
A chameleon is looking for prey. Let positive numbers represent the elevation of prey above the chameleon and
negative numbers represent the elevation of prey below the chameleon
The chameleon spots a fly and a grasshopper.
What does an elevation of 0 m represent in this situation?
Choose 1 answer
The elevation of the fly
The elevation of the chameleon
Identify the graph and describe the solution set of this system of inequalities.
y> fx+5
Answer:
What does the graph look like
Step-by-step explanation:
The inequality given is y> fx+5, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.
What is inequalities?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal symbol ()" to indicate that two values aren't equal. But several inequalities are utilised to compare the numbers, whether they're less than or higher than.
The different inequality representations, properties, and methods for resolving linear inequalities throughout one variable or two variables will all be covered in this article along with examples. The inequality given is y> fx+5, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.
Therefore, the inequalities have no solution since their graph does not intersect or overlap.
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What is the solution to this equation?
-13x=78
O A. x= 6
B. X= -5
O c. x= -6
O D. x= 5
Plzzz help mee
Answer:
x = -6
Step-by-step explanation:
-13x=78
Divide each side by -13
-13x/-13 = 78/-13
x =-6
Answer:
x = -6
Step-by-step explanation:
-13x = 78
x = 78/-13
x = -6
which three measures could be side lengths of a right triangle?
5,7,2,\sqrt(27)
explain work please
First, let's square all the given measures, so we have 25, 27, 4, and 49. For three measures to form the sides of a right triangle, two of these squares have to add up to the third.
By inspection, we see that the measures of [tex]\boxed{5,\sqrt{27},7}[/tex] form a right triangle, since [tex]25+27=49.[/tex]
Identify if each graph represents a function. Explain your reasoning.
Answer:
A and B
Step-by-step explanation:
Do the vertical line test! A and B pass the test, however the circle doesn't. That means the circle is not a function.
Translate the phrase into an algebraic three dollars more than twice the cost of a bowl of soups 2+3
3(2c)
3+2c
2+2c
Answer:
3+2c
Step-by-step explanation:
To translate the phrase into an algebraic expression, you have to analyze the information provided. Three dollars more than twice the cost of a bowl of soups means that given that c is the costs of a bowl of soup, you have to multiply c for 2 as the phrase says twice the cost. Also, it says three dollars more which means that you have to add 3. According to this, the expression is: 3+2c.
2 Points
In the diagram below, DE is parallel to 7. What is the value of x?
2
119
F
X
y
O A. 115
B. 85
C. 65
D. 105
O
Answer:
C
Step-by-step explanation:
The angle adjacent to x on XY = 115° ( corresponding angle )
This angle and x are adjacent and supplementary , thus
x = 180 - 115 = 65 → C
Answer:
65⁰
Step-by-step explanation:
x + 115⁰ = 180⁰ (co exterior)
x = 180 - 115 = 65⁰
A triangle has sides of lengths 4, 3, and 5. Is it a right triangle Explain.
Hey!!!
It is a right angle.
The answer is yes; 4^2+3^2=5^2 [option D]
please see the attached picture for full solution
Hope it helps
If someone can solve and show where it should be on the number line please do so
Answer:
The number line should have a filled in dot at -3 and should extend to the left where it is negative.
Step-by-step explanation:
If -3 is greater than or equal to c, then c has to be equal to -3 or smaller. So, the number line should include -3 with a filled in dot and should extend to the left of -3 where the more negative numbers are.
Answer:---> or o---> i think
Step-by-step explanation:
Plz help! Big points!
A certain brand soda can has a diameter of 2 inches and a height of 5 inches. The garbage can in the lunchroom has a diameter of 24 inches and a height of 42 inches. If you poured a bunch of soda into the garbage, how many soda cans would it take to fill the garbage can to the top? Round your answer to the nearest whole can.
Answer:
1209
Step-by-step explanation:
v= pi* r^2* h r= d/2
soda:
d = 2 r = 1
h = 5
grabage:
d = 24 r = 12
h = 42
volume G: 19000.35
volume S: 15.71
volume G/ Volume S = # of soda cans
how would i graph this on a corrdinate plane you can just tell me the corridante
64x^2-81 what’s the answer ?
Answer:
(8x-9)(8x+9)
Step-by-step explanation:
64x^2 - 81
Rewriting
(8x)^2 - 9^2
We recognize that this is the difference of squares
a^2 - b^2 = (a-b)(a+b)
(8x-9)(8x+9)
Answer:
(8x+9)(8x-9)
Step-by-step explanation:
64x^2= 8x*8x
-81= 9*-9
What is the slope of the line?
Thank you!!
Megan has two boxes with the dimensions shown. She wants to use the box with the greater volume to ship a gift to her friend. Which box should Megan use? Explain.
Answer:
384 3/4
341 1/4
box A
Step-by-step explanation:
The volume of the box is given by the formula:
Volume = length * width * height
The volume of the box A is:
Volume_A = 9.5 * 3 * 13.5 = 384.75 cm3 = 384 3/4 cm3
The volume of the box B is:
Volume_B = 10 * 3.25 * 10.5 = 341.25 cm3 = 341 1/4 cm3
The volume of the box A is greater than the volume of the box B, so Megan should use the box A
1. Focus is at (0,7) and the Directrix is y = 1.
a) Sketch the parabola.
b) What are the coordinates of the vertex?
Answer:
a) see the attached file
b) Coordinates of vertex = (0, 4)
Step-by-step explanation:
Given:
Focus of parabola is [tex](0,7)[/tex] and the directrix is [tex]y=1[/tex]
To sketch: the parabola
To find: coordinates of the vertex
Solution:
As the focus lies on the y-axis and y-coordinate of the focus is positive,
equation of parabola is [tex](x-h)^2=4p(y-k)[/tex]
Here, [tex](h,k)[/tex] denotes the vertex of parabola, focus is [tex](h,k+p)[/tex] and the directrix is [tex]y=k-p[/tex]
According to question,
[tex](h,k+p)=(0,7)[/tex]
[tex]k-p=1[/tex]
So, [tex]h=0[/tex]
[tex]k+p=7\,,\,k-p=1[/tex]
On adding these equations,
[tex]k+p+k-p=7+1\\2k=8\\k=4[/tex]
Put [tex]k=4[/tex] in [tex]k+p=7[/tex]
[tex]4+p=7\\p=7-4\\p=3[/tex]
So, equation of parabola is [tex](x-0)^2=4(3)(y-4)\Rightarrow x^2=12(y-4)[/tex]
For part a), see the attached file.
b)
Coordinates of vertex = [tex](h,k)=(0,4)[/tex]
Which graph shows the solution to the system of linear inequalities below?
Answer:
B
Step-by-step explanation:
The red line is y = 2x + 3 and the blue line is y = -2x - 4. The solution will be shaded on the left side of the red line and below the blue line which is Graph B.
Answer:
B
Step-by-step explanation:
Check the inequalities
Irrational numbers (picture provided)
Answer:
C would be irrational.
Step-by-step explanation:
Irrational means that you cannot make a distinct ratio with the number. One of the more famous irrational numbers are π. You cannot make π into a fraction with whole numbers for a numerator and denominator.
Other examples of irrational numbers are square roots that are not perfect square roots. C is not a perfect square so it is irrational.
Very large or very small numbers are best input with exponential notation. For instance, the number 8,000,000 (eight million) is equal to 8×106 . In this course, you can enter that as either 8 * 10 ^ 6 or as 8e6 in these problems. Try out exponential notation in the question below.
One light year is equal to 9,460,730,472,580.8 kilometers. Enter this number below in exponential notation. The tolerance on this question is 5%.
________km
Answer:
[tex]9*10^{12}km[/tex]
Step-by-step explanation:
[tex]9,460,730,472,580.8 km[/tex]
First, we can work out 5% of our number, by multiplying it by 0.05
[tex]9,460,730,472,580.8 * 0.05 = 473,036,523,629[/tex]
Now, if we add and subtract our 5% calculated from our original number, we can work out the minimum and maximum value that our final answer can be in the range of.
[tex]9,460,730,472,580.8 + 473,036,523,629 = 9.933767*10^{12}\\9,460,730,472,580.8 - 473,036,523,629 =8.98769395*10^{12}[/tex]
We can see that [tex]9*10^{12}[/tex] is in the range of valid answers, as:
[tex]8.9*10^{12} \leq 9*10^{12} \leq 9.9 * 10^{12}[/tex]
So, our final answer is:
[tex]9*10^{12}km[/tex]
What is 5,267 rounded to the nearest ten?
Answer:
2,270
Step-by-step explanation:
If you look at the last two numbers, then you can see that the closest ten to 67 is 70.
Answer:
5,270
Step-by-step explanation:
WE CONSIDER 7 TO BE THE NO WHICH WILL BE USED FOR ROUNDING
SO 7 IS MORE THAN 5 SO WE ADD 1 TO THE TENS PLACE
0,1,2,3,4=+0
5,6,7,8,9=+1
2. If you’re good at geometry could somebody please help me?
Answer:
See the explanation.
Step-by-step explanation:
The Pythagorean theorem states that a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse (diagonal, longest side) of the triangle.
We can see that the legs are labeled 15 (blue) and 8 (red). Substitute that into the equation.
(8)^2 + (15) ^2 = c^2
From there, we can simplify and solve for c.
64 + 225 = c^2. Add.
289 = c^2. Take the square root.
c = 17.
I hope this helps!
Answer: 17
Pro tip: 3/4/5, 5/12/13 and 8/15/17 are the first three Pythagorean Triples on the list and teachers like to use them for problems. The multiples also come up, like 6/8/10. Learn these and save yourself some calculation down the road.
Let's do it like they want
a² + b² = c²
8² + 15² = c²
64 + 225 = c²
289 = c²
√289 = √c²
17 = c
How many numbers can you make between 0-99 using exactly four 4s?
Answer:
Number Four Fours Term Solved By
0 4 - 4 + 4 - 4 johnv
1 (4/4) / (4/4) johnv
2 4/4 + 4/4 pilot
3 (4+4+4) / 4 pilot
4 [ (4/4) ^4 ] * 4 catbells
5 [ 4*4 +4 ] / 4 pilot
6 [ (4+4) /4 ] +4 scruffy
7 4+4 - (4/4) Flora Flatbelly
8 4*4 - 4 - 4 catbells
9 4/4 +4 +4 scruffy
10 4 + √4 + √4 + √4 P Rubie
11 44 / (√4 + √4) christina
12 4 + 4 + √4 + √4 johnv
13 4!/(√4) + 4/4 tackline
14 4+4+4 + √4 D12Bit
15 (44/4)+4 D12Bit
16 4*4*4 / 4 D12Bit
17 4*4 + 4/4 D12Bit
18 4*4 + 4 / √4 D12Bit
19 4! - 4 - 4/4 ?
Solutions to the Second Challenge: 20 to 99
Number Four Fours Term Solved By
20 4 * 4 + √4 + √4
21 4! - 4 + 4/4
22 4! - (4! / 4 - 4)
23 4! - 4^(4-4)
24 4 * ( 4 + 4/√4 )
25 4! + 4^(4-4)
26 4! + (4! / 4 + 4)
27 4! + 4 - 4/4
28 4! + 4 * (4/4)
29 4! + 4 + 4/4
30 (4 + 4/4)! / 4
31 (4! + 4)/4 +4! MicheleR
32 4*4 + 4*4
33 (4 - .4)/.4 + 4! IceMantis
34 4*4 * √4 + √
35 4! + 44/4
36 4*4 * √4 + 4
37 4! + (4! + √4) / √4 christina
38 44 - 4 - √4
[39] 4! + 4! - 4/.4~
40 44 - √4 - √
41 (4*4 + .4) / .4
42 44 - 4/√4
43 44 - 4/4
44 44 + 4 - 4
45 44 + 4/4
46 44 + 4/√4
47 4! + 4! - 4/4
48 44 + √4 + √4
49 4! + 4! + 4/4
50 44 + 4! / 4
51 (4! - 4 + .4) / .4 Mr.B
52 44 + 4 + 4
[53] 44 + 4 / .4~
54 4! + 4! + (4! / 4)
55 [4! - ( 4 / √4 ) ] IceMantis
56 44 + 4! / √4
[57] 4! + 4! + 4/.4~
58 4! + 4! + 4/.4 IceMantis
59 4!/.4 - 4/4 FireMantis
60 44 + 4 * 4
61 4!/.4 + 4/4 FireMantis
62 (4 + 4) ^ √4 - √4
63 (4! + √4) / .4 - √4 FireMantis
64 4 * 4 * √4 * √4
65 (4^4 +4) / 4 Jeremy
66 (4 + 4) ^ [√4] + √4
67 [4! + √4] / .4 + √4 FireMantis
68 (4 + 4) ^ √4 + 4
69 (4!+4-.4)/.4 Partick
70 44 + 4! + √4 FireMantis
71 (4 + 4! + .4) / .4 IceMantis
72 [ (4! / 4) ^ √4 ] * √4
[73] [4! * √4 + √.4~)] / √.4~) capOCC
74 4! + 4! + 4! + √4 FireMantis
75 (4! + √4 + 4) / .4 FireMantis
76 4!*4 - 4! + 4 Jeremy
[77] (4/.4~) ^ √4 - 4 FireMantis
78 √4 / .4~) * [4! + √4] ArBeeJay Ruakura
79 (4/.4~) ^ √4 - √4
80 4! * 4 - 4*4 -
[81] (4/.4~) * (4/.4~) -
82 (4! / .4) + 4! - √4 Partick
[83] (4/.4~) ^ √4 + √4 -
84 4! * 4 - 4! / √4 -
[85] (4/.4~) ^ √4 + 4 -
86 4!*4 - 4/.4 IceMantis
87 4! * 4 - 4/.4~ -
88 4! * 4 - 4 - 4 -
89 4! + [4! + √4]/.4 RyVikOCC
90 4! * 4 - 4! / 4 -
91 4 * 4! - (√4 / .4) IceMantis
92 4! * 4 - √4*4) -
[93] 4 * 4! - [ √4 / √(.4~) ] IceMantis
94 4! * 4 - 4/√4 -
95 4! * 4 - 4/4 -
96 4! * 4 + 4 - 4 -
97 4! * 4 + 4/4 -
98 4! * 4 + 4/√4 -
[99] (4!*√4-4) / .4~ IceMantis
Step-by-step explanation:
* ANSWER PLS * What are two types of angle measurements? a.) metrics and radians b.) radians and metrics c.) degrees and metrics d.) degrees and radians
Answer:
D.
Step-by-step explanation:
The two types of angle measurements are:
1) Degrees ( ° )
2) Radians ( r)
You have bumped into the car in front of you. You are injured in the collision, resulting in $2,500 in medical expenses. Your policy provides only liability insurance, with a limit of $25,000, and your deductible is $500. How much will your insurance company pay toward these medical expenses?
a) $0
b) $500
c) $2,000
d) $2,500
Answer: $2,000
Step-by-step explanation:
Your insurance companies limit is 25,000. You only need 2,500 but there is a deductible. You will get 2k
HURRY, THIS IS TIMED!!!
Six students are working to simplify the expression shown.
Drag each student's answer to a box to show whether it is fully simplified, equivalent to the given expression but not fully simplified, or not equivalent to the given expression.
4y - 8x² - 5 + 14x² + y - 1
1. 3y + 6x² + 6
2. 3y + 6x² - 5 - 1
3. 5y + 6x² - 6
4. 5y - 6x² - 5 - 1
5. 5y - 8x² - 6 + 14x²
6. 4y + 6x² - 6 + y
Answer:
Step-by-step explanation:
1. not equivalent
2. not equivalent
3. fully simplified
4.not fully simplified
5. not fully simplified
6. not fully simplified
Write an inequality to model the situation.
The temperature must be kept below 32 degrees.
Answer:
x<32
Step-by-step explanation:
Answer:
t > 32
Step-by-step explanation:
The circumference of a circular painting is 59.66 feet. What is the radius of the painting? Use 3.14 for π and do not round your answer.
Answer:
9.5 feet
Step-by-step explanation:
So let's review the equations we need to know.
Circumference= π x d or π x 2r
Since we are solving for r, let's stick with the 2nd one.
Next, plug in the values.
59.66=3.14 x 2r
simplify.
59.66=6.28r
9.5=r
done!
the radius is 9.5 feet!
2 Points
In the diagram below, DE is parallel to ty. What is the value of y?
D
100"
yº
.
O A. 60
B. 100
C. 120
D. 80
Answer:
80 degrees
Step-by-step explanation:
Co-interior angles
The measure of y is 80 degree.
Option D is correct.
What are Parallel line?The basic qualities listed below make it simple to identify parallel lines.
Parallel lines are defined as straight lines that are always the same distance apart.Parallel lines, no matter how far they are extended in either direction, never intersect.As, from the property of parallel line we have
corresponding Angle are equalAlternate interior angle are equalCo interior angles are supplementary.As, DE || XY then
y+ 100 = 180 ( Angles on same side of transversal)
y= 180- 100
y= 80 degree
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The largest z-score available in most tables is 2.99, which corresponds to a probability of 99.86%. A fair coin is
tossed 200 times.
a) What number of heads observedžwould correspond to a z-score of 2.99? [2]
Answer:
The number of heads observed is 121.14 heads
Step-by-step explanation:
The formula for the z-score of a proportion is given as follows;
[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{pq}{n}}}[/tex]
Where:
[tex]{\hat{p}[/tex] = Sample proportion
p = Population success proportion = 0.5
q = 1 - p = 1 - 0.5 = 0.5
n = Number in of observation = 200
z = 2.99
Hence, we have;
[tex]z=\dfrac{\hat{p}-0.5}{\sqrt{\dfrac{0.5 \times 0.5}{200}}} = 2.99[/tex]
Therefore;
[tex]{\hat{p}-0.5}{} = 2.99 \times \sqrt{\dfrac{0.5 \times 0.5}{200}} = 2.99 \times\dfrac{\sqrt{2} }{40}[/tex]
[tex]{\hat{p}[/tex] = 0.6057
[tex]Whereby \ \hat p = \dfrac{Number \ of \ heads}{Number \ of \ observation} = \dfrac{Number \ of \ heads}{200} = 0.6057[/tex]
∴ The number of heads observed = 200 × 0.6057 = 121.14 heads.
Which of the following represents the reflexive property of length? Question 6 options: A) m∠A = m∠A B) If AB = CD, then CD = AB C) x° = x° D) AB = AB
Answer:
D) AB = AB
Step-by-step explanation:
The reflexive property states that a value is equal to itself: x = x.
The reflexive property of length states that a length is equal to itself:
AB = AB
A) and C) are wrong. They represent the reflexive property of angles.
B) is wrong. It represents the symmetric property of length.
Answer:
D
Step-by-step explanation:
Wich equation represents a linear function
Answer:yeah ❤️
Step-by-step explanation:
te tree♾
Answer:
y=x-3
or the 3rd option.
