The factored form of the expression is [tex]x^9+27=(x^3 + 3) (x^6 - 3x^3 + 9 )[/tex]
Sum of squares of variablesThe sum of squares of variable a and b is expressed as:
[tex]a^3+b^3=(a + b) (a^2 - ab + b^2 )[/tex]
Given the expression x^9 + 27, this can be written as;
(x³)³ + 3³
where a = x³ and b =3
Substitute
[tex]x^9+27=(x^3 + 3) (x^6 - 3x^3 + 9 )[/tex]
This gives the factored form of the expression
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Answer:
(x3 + 3)(x6 − 3x3 + 9)
Step-by-step explanation:
PLATO
Help please, again, sorry I’m struggling
Answer:
7 feet
Step-by-step explanation:
Answer:
A. 4ft
Step-by-step explanation:
It would be four feet because since the opening is 3ft and the length is 5ft, it would be 4ft because the length is going to be close to the height which would also be the same with the opening. The opening is always a little shorter than the top of the tent meaning this would be 4ft.
What is the value of x?
Answer:
x = 27
Step-by-step explanation:
Based on the angle bisector theorem, we would have the following:
(x + 8)/10 = (2x - 5)/14
Cross multiply
14(x + 8) = 10(2x - 5)
14x + 112 = 20x - 50
Collect like terms
14x - 20x = -112 - 50
-6x = -162
Divide both sides by -6
-6x/-6 = -162/-6
x = 27
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Answer:
67°
Step-by-step explanation:
Angle 67° and that at H are corresponding this are equal.
Therefore 67+46=113°
180-113=67 as the answer
The dot plots below show the scores for a group of students for two rounds of a quiz:
Two dot plots are shown one below the other. The title for the dot plot on the top is Round 1 and the title for the bottom plot is Round 2. Below the line for each dot plot is written Score. There are markings from 1 to 5 on the line at intervals of one. There are there are 4 dots above the mark 4 and there are 4 dots above the mark 5. For the bottom dot plot there are 2 dots above the mark 1. There are 2 dots above the mark 2, there is 1 dot above the mark 3, there are 2 dots above the mark 4 and there is 1 dot above the mark 5.
Which of the following inferences can be made using the dot plots?
The range of round 2 is greater than the round 1 range.
Round 2 scores are higher than round 1 scores.
Round 1 scores are lower than round 2 scores.
There is no overlap between the data.
The first one adds up to 34 while the second adds up to 36. This puts C and D to false.
Points B and D are points of tangency. Find the values of x. B. 2x2 + 4 А 22
The value of x from the given circle C is 3 units.
What is tangent property of a circle?A Tangent of a Circle is a line that touches the circle’s boundary at exactly one point. The tangential point is the place where the line and the circle meet. The lengths of tangents drawn from an external point to a circle are equal.
From the given figure, AB and AD are the tangents from same external point.
Then, AB=AD
2x²+4=22
2x²=22-4
2x²=18
x²=9
x=±√9
x=±3
Therefore, the value of x from the given circle C is 3 units.
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125
225
12.89
6. A swimming pool contains 2250 m of water. Its length is 45 m and its breadth is 25 m.
Calculate the depth of the water?
Answer:
2m
Step-by-step explanation:
[tex]2250 \div 25 = 90[/tex]
[tex]90 \div 45 = 2[/tex]
Helppp I’ll brainlest....
Answer:
1.) B
2.) B
Step-by-step explanation:
1.) The outlier is a dot that is no where near the rest of the data.
2.) The median can be found by writing down all of the numbers from left to right (example... Test 1 would be 50 60 60 60 60 70 70 75 75 75 75 80 80 80 85) and then cross out numbers from each side until you just have one number in the middle.
For test 1 the median is 75
For test 2 the median is 85
Which situation is best modeled with a division expression?
the total cost of 4 pints of strawberries that sell for $3 each the cost per pint of 3 pints of blueberries if the total cost was $6
the cost per pint of raspberries after applying a $1 coupon if the normal price was $3 each
the total cost of a pint of blackberries that sells for $3 and a pint of cherries that sells for $4
Answer:
B: the cost per pint of 3 pints of blueberries if the total cost is $6
Step-by-step explanation:
A is using multiplication
C is using addition and multiplication
D is using multiplication and addition.
Therefore, B would be your answer.
Hope this helps! :)
Answer:
Its B
Step-by-step explanation:
I got 100 on quiz
9.6 + [(3.1 x 2) - 2.3] + 4 to the 2nd power
When Lucas first opened his bank account, he deposited x amount of
money in there. The second week, he deposited the same amount of
money in his bank account. Two weeks later, he wrote a check for $116
and ended up having -$6 in his balance. How much money did Lucas
deposit when he first opened his account?
Answer:
55
Step-by-step explanation:
Lucas went to the bank the first time with $55 and the second time with $55, when you add those togeother you get $110. Then he wrote a check for $116 and ended up having -$6...basically if you have $110 in all then you write a check for $116 you would have -$6 in your balance. 110-116 = -6
Otis measured the heights of several sunflowers. He found that their heights were 4, 6, 7, 9, and 9 feet Otis found that the mean was 7 feet and the range was 5 feet Which numbers describe the center and spread of this data set? A. 4 feet describes the center, and 9 feet describes the spread. , B. 7 feet describes the center, and 5 feet describes the spread C. 9 feet describes the center, and 4 feet describes the spread D. 5 feet describes the center, and 7 feet describes the spread.
Answer:
B) 7 feet is the median (center) and 5 is the range (spread)
Step-by-step explanation:
spread is the difference between the largest and smallest numbers in the data set (9 - 4 = 5 in this case)
If an object is dropped from a height of 178 feet, the function h(t)=-16t^2+178 gives the height of the object after t seconds. When will the object hit the ground?
A. 6.67s
B. 3.34s
C. 13.34s
D. 1.67 s
Answer:
B. 3.34s
Step-by-step explanation:
Find t when the object hit the ground, h(t)=0.
h(t)=-16t²+178
0=-16t²+178
16t²=178
t²=11.125
t=√11.125=3.33541601603s
(20 POINTS) The graph of f(x)= |x| is translated 2 units to the left and then horizontally stretched by a factor of 2. Determine the equation of the final graph.
Answer:
g(x) = Ix/2 + 1I
Step-by-step explanation:
First, let's describe the transformations in a general way.
Horizontal translation.
For a function f(x) a horizontal translation of N units is written as:
g(x) = f(x + N)
if N is positive, the translation is to the left.
If N is negative, the translation is to the right.
Horizontal stretch.
For a function f(x) a horizontal stretch of scale factor k is written as:
g(x) = f(x/k)
Then if we have the function f(x) = IxI
First we do a translation of 2 units to the left, then we have N = 2
The transformation is:
g(x) = f(x + 2)
Now we do a horizontal stretch by a factor of 2.
g(x) = f( (x + 2)/2=
g(x) = f( x/2 + 1) = Ix/2 + 1I
The equation of the final graph is:
g(x) = Ix/2 + 1I
Use a graphing calculator for the following problem. If using a Casio fx-9750GII, follow the steps outlined in the Lesson to determine the linear, quadratic, or exponential equation that best models the data. For a linear model, round the slope and y-intercept to the nearest integer. For a quadratic model, round the coefficients to the nearest integer. For an exponential model, round ato the nearest integer and b to the nearest tenth.
Elapsed Time Amount
1 58
2 34
3 20
4 14
5 7
6 4
7 2.5
The function is an exponential function and the function is, y = 100[tex]e^{-0.5x}[/tex].
What is an exponential function?Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.
Given:
We have the table.
Elapsed Time Amount
1 58
2 34
3 20
4 14
5 7
6 4
7 2.5.
We have drawn a graph from the points.
And the graph is given in the attached image.
Then the exponential function,
y = 100[tex]e^{-0.5x}[/tex].
Therefore, the function is y = 100[tex]e^{-0.5x}[/tex].
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PLEASE HELP
!!NO LINKS!!
!! ANSWERS ONLY!!
Answer:
Step-by-step explanation:
because you know that the exponent is 20 and that is n*t... and you can see that n= 2 in the equation
you know it's been collecting interest for 10 years
if the cost of 8 boxes is rupees 243.20 the cost of one box
Answer:
30.4
Step-by-step explanation:
8 boxes = 243.20
find 1 boxes
= 243.20 ÷ 8
= 30.40 / 30.4
if the probability of passing a driving test is 0.9,what is the probability of failing the driving test
Answer:
0.1
Step-by-step explanation:
Lol hi again . hope this helped you
Find Y.
Round to the nearest tenth.
Z
8 ft
17 ft
Х
Y
16 ft
Y= [?]°
Answer:
Y = 27.8°
Step-by-step explanation:
Apply the Law of Cosines which is given as c² = a² + b² - 2ab*Cos C
Where,
c = 8
a = 17
b = 16
C = Y
Plug in the values
8² = 17² + 16² - 2*17*16*Cos Y
64 = 545 - 544*Cos Y
64 - 545 = -544*Cos Y
-481 = -544*Cos Y
Divide both sides by -544
-481/-544 = Cos Y
0.884191176 = Cos Y
Y = cos^{-1}(0.884191176)
Y = 27.8478491° ≈ 27.8° (nearest tenth)
Answer:
does any body have c?
Step-by-step explanation:
9/125 into a decimal fraction
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Answer: 0.072
I hope this helped!
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What is the domain of the function y= x+6 -7?
O X>-7
0 x>-6
O X>6
O X>7
Answer:
x>-6
Step-by-step explanation:
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In the figure shown, the measures of all angles are equal, and AB = EF.
What type of transformation appears to map ABC onto EFG?
A. reflection
B. translation
C. rotation
D. none of the above
Answer:
your answer will be C. rotation
Step-by-step explanation:
hope it helps...
have a great day!
The type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation
What is ASA congruency?If corresponding two angles and one corresponding side of two triangles are of same measurement, then the considered pair of triangles are congruent.
For this case, both the triangles ABC and EFG satisfy the ASA congruency. Thus, they are congruent. Congruent triangle means they are just same, but might be placed different or rotated.
For this case, for making ABC look like EFG, we need to rotate it, and will have to move it too(which is called translation).
Thus, the type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation
For some cases, we may ignore translation and just call them transformed rotationally, because usually two triangles will be placed different. But in literal sense, these two transformation will be needed for sure.
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pls help me I am in the middle of a test! If i get a bad grade I wont be able to go with my friends
Answer:
It would be right skewed.
Step-by-step explanation:
As you can see, the graph gets smaller as it goes to the right.
PLZ GIVE BRAINLIEST
Solve the equation using the quadratic formula.
y2-8y + 17 = 0
The solution set is
Step-by-step explanation:
Formula is:
x=(-b± √b^2-4ac)/2a
a= 1
b= -8
c= 17
x= (-(-8)±√64-4(1)(17))/2
x= (8±√-4)/2
now
x1= (8+√-4)/2
x2=(8-√-4)/2
Find the value of x
Answer:
x=66
Step-by-step explanation:
A straight line is equal to 180 degrees so we can make the equation 180=2x-48. After this we can do 180-48=2x then we can do 132/2=x
Which ordered pair is a solution to the inequality 7x – 3y > 10? O (1,2) O (1,0) 0 (3, 4) 0 (1, - 1)
Step-by-step explanation:
7(3) - 3(4) > 10
21 - 12 > 10
9 > 10
0 > -1
The solution for the inequality is not in the given options.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 7x – 3y > 10
Seven x minus three times of y greater than ten
Now let us consider all the options to find the ordered pair of inequality.
When we substitute x and y value it should be greater than 10.
(1,2)
7(1)-3(2)>10
7-6>10
1>10 NO
(1,0)
7(1)-3(0)>10
7>10 NO
(3,4)
7(3)-3(4)>10
21-12>10
9>10 NO
(1,-1)
7(1)-3(-1)>10
7+3>10
10>10 NO
Hence the solution for the inequality is not in the given options.
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I WILL GIVE BRAINLYIST IF UR QUICK ITS TIMEDDDD TOOOOO
Answer:
B I belive
Step-by-step explanation:
plz solve this one.................
Answer:
25 is correct answer please mark me as brainiest answer
Answer:
id.k
Step-by-step explanation:
find the area, round to the nearest tenth if necessary
9514 1404 393
Answer:
78 in²
Step-by-step explanation:
The legs of an isosceles right triangle are the same length, so the figure is telling you the height of the parallelogram is 6.5 in. The area is ...
A = bh
A = (12 in)(6.5 in) = 78 in²
please help!!!!!!!!!!!!!!!!!!!!!!!
Answer:
choice 1) 6 inches
Step-by-step explanation:
3 x 10 x ? = 180
? = 6
Consuelo paid $16.72 for an item which was discounted
24%. What was the price of the item before it was
discounted?
.