Answer:
729x^12
Step-by-step explanation:
3x^2*3x^2*3x^2*3x^2*3x^2*3x^2
Convert the angle \theta=\dfrac{8\pi}{9}θ=
9
8π
theta, equals, start fraction, 8, pi, divided by, 9, end fraction radians to degrees.
Answer:
[tex]160^\circ[/tex] is the degrees value of [tex]\theta = \dfrac{8 \pi}{9}[/tex].
Step-by-step explanation:
We are given the following details about the angle [tex]\theta[/tex]:
[tex]\theta =\dfrac{8\pi}{9}\text{ radians}[/tex]
It is know that the relation between radians and degree units is as follows:
[tex]\pi \text{ radians} = 180 ^\circ[/tex]
We can use simply use unitary method to convert radian value of [tex]\theta[/tex] to degrees.
[tex]\pi \text{ radians} = 180 ^\circ[/tex]
[tex]\Rightarrow 1 \text { radian}= \dfrac{\pi}{180} ^\circ[/tex]
[tex]\Rightarrow \dfrac{8\pi}{9} \text{ radians} = \dfrac{180}{\pi} \times \dfrac{8\pi}{9} ^\circ\\\Rightarrow \dfrac{180 \times 8}{9}^\circ\\\Rightarrow 20 \times 8^\circ\\\Rightarrow 160 ^\circ[/tex]
Hence, [tex]\theta = 160^\circ[/tex]
Which rule describes the composition of transformations
that maps pre-image ABCD to final image A"B"C"D"?
Orx-axis 07-61(x, y)
O T-620rx-axis (x, v)
O Rogo T-6, 1(x, y)
OT-610 RO, 900(x,
Answer:
[tex] T_{-6, 1} \circ r_{x-axis} (x, y) [/tex]
Step-by-step explanation:
We can see in the picture that the first step is transform ABCD to A'B'C'D'. To do this, ABCD is reflected over the x-axis.
Then, A'B'C'D' should be translated -6 units to the right, that is, on the x-axis; and 1 unit up, that is, on the y-axis.
The composition transformation process is from ABCD to A'B'C'D', then
to A''B''C''D''.
Correct response:
The composition transformation is; [tex]\underline{T_{-6, \, 1} \ \circ \ r_{x - axis}(x, \, y)}[/tex]Process used for finding the composition transformationThe given coordinates of the pre-image ABCD are;
A(3, 5), B(6, 5), C(4, 1), D(1, 1).
The coordinates of the image D'C'A'B' are;
A'(3, -5), B'(6, -5), C'(4, -1), and D'(1, -1).
Therefore, the rule that gives the coordinates of A'B'C'D' from ABCD
(x, y) [tex]\underrightarrow{Rule}[/tex] (x, -y)
The rule for a reflection across the x-axis is; (x, y) [tex]\underrightarrow{r_{x-axis}}[/tex] (x, -y)
Therefore;
The rule that gives A'B'C'D', from ABCD is a reflection across the x-axis.
The rule that gives A''B''C''D'' from A'B'C'D' is the a translation 6 units left and 1 unit up, which is; [tex]\mathbf{T_{-6, \, 1}}[/tex]
Therefore composition transformation that maps pre-image ABCD to
final image A''B''C''D'' is given by a reflection followed by a translation,
with the second transformation coming first in the expression as follows;
[tex]\underline{T_{-6, \, 1} \ \circ \ r_{x-axis}(x, \, y)}[/tex]Learn more about composition transformation here:
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Find the distance between the pair of points: (2,0) and (6,-3)
Answer:
The distance between the pair of points is 5 units.
Step-by-step explanation:
The first thing we must know in order to solve this problem is the distance formula.
[tex]Distance(d)=\sqrt{(x_{2}-x_{1} )^2+(y_{2}-y_{1})^2}[/tex]
We will use the coordinate point (2,0) for our (x₂,x₁) and the coordinate point (6,-3) for our (y₂,y₁). Now, let's plug in these numbers into our formula.
[tex]d=\sqrt{(6-2)^2+(-3-0)^2}[/tex]
[tex]d=\sqrt{(4)^2+(-3)^2}[/tex]
[tex]d=\sqrt{16+9}[/tex]
[tex]d=\sqrt{25}[/tex]
[tex]d=5[/tex]
So, the distance between the two given points is 5 units.
A basketball is shot into the air. Its height is represented by the polynomial equation h(t) = –16t2 + 35t + 5, where h is the height of the basketball at t seconds. What is the height of the basketball at 1 second?
Question 15 options:
A)
24 feet
B)
14 feet
C)
56 feet
D)
8 feet
Answer:
Step-by-step explanation:
Its not 56 feet, i got it wrong
The height of the basketball at 1 second will be 24 feet. Then the correct option is A.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
A basketball is shot into the air. Its height is represented by the polynomial equation which is given below.
h(t) = –16t² + 35t + 5
Where h is the height of the basketball at t seconds.
The height of the basketball at 1 second will be given as,
h(1) = –16 × (1)² + 35 × 1 + 5
h(1) = –16 + 35 + 5
h(1) = –16 + 40
h(1) = 24 feet
The height of the basketball at 1 second will be 24 feet. Then the correct option is A.
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An art teacher needs to buy at least 60 brushes for her class. The brushes are sold in packs of 8. In which inequality does n represent the minimum number of packs the teacher needs to buy for her class?
Answer:
I think 8n >_ 60
Im not sure but thats what i put
Step-by-step explanation:
The inequality where n represents the minimum number of packs the teacher needs to buy is: 8n ≥ 60.
What is Inequality?Inequality is an expression or statement of an order relationship, which involves the use of inequality signs, variables, numbers and/or algebraic expressions.
Thus:
n = number of brushes in a pack
The teacher must buy 60 brushes and above.
Thus:
8n ≥ 60 will represent the minimum number of brushes for the class.
Therefore, the inequality where n represents the minimum number of packs the teacher needs to buy is: 8n ≥ 60.
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An orchard has 672 pear trees. The number of rows exceeds the number of trees per row by 4. How many trees are there in each row?
(05.01)
Simplify completely 2x – 24
8
Your answer:
X-24
4
X - 12
4
O 2x - 3
0 X-3
Answer:
x - 12
Step-by-step explanation:
2x divided by 2 equals x
24 divided by 2 equals 12
x-12
Plz make me brainliest
On a coordinate plane, 2 exponential functions are shown. Function f (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. Function g (x) approaches y = 0 in quadrant 1 and increases into quadrant 2.
Which function represents a reflection of f(x) = Three-eighths(4)x across the y-axis?
g(x) = NegativeThree-eighths (one-fourth) Superscript x
g(x) = Negative three-eighths(4)x
g(x) = Eight-thirds(4)-x
g(x) = Three-eighths(4)–x
Answer:
[tex]g(x)=f(-x)=\frac{3}{8}(4)^{-x}[/tex]
Step-by-step explanation:
The pre-image is
[tex]f(x)=\frac{3}{8}(4)^{x}[/tex]
To make a reflection across the y-axis, we need to apply the transformation
[tex](x,y) \implies (-x,y)[/tex]
Which give the function
[tex]g(x)=f(-x)=\frac{3}{8}(4)^{-x}[/tex]
Therefore, the right answer is the last choice.
Answer:
D
Step-by-step explanation:
How would you write 4.3756 x 104 in standard form?
Answer:
43756
Step-by-step explanation:
Multiply
We need to write the given number in standard form.
The standard form of the given number is [tex]43756[/tex].
The given number [tex]4.3756\times 10^4[/tex] is in scientific form.
The scientific form of a number is given by
[tex]m\times 10^n[/tex]
where, [tex]m[/tex] is a non zero number generally between one and ten
and [tex]n[/tex] is the exponent which is an integer.
The standard form is the product of [tex]m\times 10^n[/tex]
So, the standard form of the given number is [tex]43756[/tex].
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1. question in attachment
Which expression is equivalent to
Answer:
[tex]x^{\frac{1}{8} } y^{8}[/tex]
Step-by-step explanation:
[tex]x^{1/4 \times 1/2} y^{16 \times 1/2}[/tex]
[tex]x^{1/8} y^{8}[/tex]
Answer:
x^1/8 y^8
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Parallelogram ABCD is rotated 45° counterclockwise using the origin as the center of rotation
-5
A
4
3
D
2 3
С
Which graph shows the image of ABCD?
Graph A
I just took the quiz on edge
The graph that shows the image of ABCD is graph A. which shows that On a coordinate plane, parallelogram A'B'C'D' has points (-2, 5), (0, 3), (0, -1.2), (-2, 1)
What is a parallelograms?A parallelogram is known to be a kind of quadrilateral angles that is known to have two pairs of parallel sides.
When you look at the options, None of them are not good matches to the real coordinates. When you round up to tenths, they should be:
A'(-2.1, 5.0), B'(0, 2.8), C'(0, -1.4), D'(-2.1, 0.7)Therefore, the closest match is graph A.
See full question below
Parallelogram ABCD is rotated 45° counterclockwise using the origin as the center of rotation. On a coordinate plane, parallelogram A B C D has points (2, 5), (2, 2), (negative 1, negative 1), (negative 1, 2). Which graph shows the image of ABCD? On a coordinate plane, parallelogram A prime B prime C prime D prime has points (negative 2, 5), (0, 3), (0, negative 1.2), (negative 2, 1). On a coordinate plane, parallelogram A prime B prime C prime D prime has points (negative 2, 5), (negative 2, 1), (0, negative 1), (0, 3). On a coordinate plane, parallelogram A prime B prime C prime D prime has points (5, 2), (3, 0), (negative 1.5, 0), (0.5, 2). On a coordinate plane, parallelogram A prime B prime C prime D prime has points (5, 2), (1, 2), (negative 1.5, 0), (2.8, 0).
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Round to one decimal place (BRAINLIEST)
Answer:
4.3
Step-by-step explanation:
Apply trigonometric ratios to find the answer.
Firstly, we need to find the measure of angle theta. In order to do this, we will use triangle BAD.
From angle theta, the trigonometric ratio sine can be used:
sinθ = [tex]\frac{4.1}{5.3}[/tex]
After we find the value, we take the inverse sine of it and the result is approximately 50.7 degrees.
Now, knowing that angles BAD and CAD are the same, we can solve for CD using trigonometric ratio sine.
sin50.7 = opposite/hypotenuse
sin50.7 = CD/5.5
sin50.7 * 5.5 = CD
4.3 ≈ CD
(05 03 LC)
What is the initial value of the equation shown?
y = -2x - 5
0-5
0-2
O2
05
Answer:
-5
Step-by-step explanation:
The initial value is the value of y when x has the value of 0.
Substitute 'x' for '0' and solve for 'y':
[tex]y=-2(0)-5\\\rightarrow -2*0=0\\y=0-5\\\boxed{y=-5}[/tex]
Option A should be correct.
Answer: -5
Step-by-step explanation:
Y= -2x - 5
+2. +2
-------------
Y= x(0)-5
So the initial value would be -5 because that would be x=0. Sorry if this is complicated I havent done it since the beginning of 6th grade.
HELP PLS!!
What is the value of x?
Enter your answer in the box.
X=
Answer:
The answer is 61
Step-by-step explanation:
The anwer is 61 becuase a triangle =180
so if 67 and 52 =119 then you have to subtract that from 180 getting
61!!!!
Hope this helps
Stay safe:)
Answer:
[tex]61 \: \: degrees[/tex]
Step-by-step explanation:
[tex]67 + 52 + x = 180 \\ 119 + x = 180 \\ x = 180 - 119 \\ x =6 1 \: \: degrees[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The tens digit is three less than the units digit. If the digits are reversed, the sum of the reversed number and the original number is 121. Find the original number.
help!!!!!
Answer: 47, 74
Step-by-step explanation:
Let x = units digit
x – 3 = tens digit
Then the number is 10(x – 3) + x and the reversed number is 10(x) + (x – 3)
Equation
The reversed number plus the original number equal 121.
10(x) + (x – 3) + 10(x – 3) + x = 154
10x + x – 3 + 10x -30 + x = 121
22x – 33 = 121
22x = 154
x = 7 (units digit)
x – 3 = 4 (tens digit)
Answer
The number is (4 X 10) +7 or 47.
Omar's credit card has an APR of 26% calculated on the previous monthly
balance. His credit card record for the last 7 months is shown in the table
below.
1
End of Previous
Month Balance
$0.00
2 $301.23
3 $254.41
4 $169.46
$191.45
6 $121.58
7 $195.55
New
Charges
$301.23
$266.65
$89.54
$198.32
$165.98
$211.34
$397.54
Payment
Received
$0.00
$320.00
$180.00
$180.00
$240.00
$140.00
$340.00
Finance
Charges
$0.00
$6.53
$5.51
$3.67
$4.15
$2.63
$4.24
Principal
Paid
$0.00
$313.47
$174.49
$176.33
$235.85
$137.37
$335.76
New
Balance
$301.23
$254.41
$169.46
$191.45
$121.58
$195.55
$257.33
On what amount of money will Omar be charged interest for month 8?
A. $257.33
B. S340.00
C. $195.55
D. $397. 54
Answer:
D. $397. 54
Step-by-step explanation:
Answer:
257.33
Step-by-step explanation:
Which type of statement has the form "If A, then B'?
O A. True
O B. Conditional
C. Deductive
O D. False
Answer:
B) Conditional
because it is a " if... then"
What is the area of this figure?
Break it into 2 shapes :
1 = 7 x 14 = 98
2 = 5 x 5 = 25
Now add them together:
Total area = 98 + 25 = 123 square mm
Peter's bank offered him a 4.85% interest rate for his mortgage. If he
purchases 3 points, what will be his new rate?
A. 0.375%
B. 1.75%
C. 4.475%
D. 4.575%
Answer:
C
Step-by-step explanation:
The new rate would be 3.75% when Peter's bank offered him a 4.85% interest rate for his mortgage. If he purchases 3 points.
What is mortgage?
A mortgage is an agreement between you and a lender that gives the lender the right to take your property if you fail to repay the money you've borrowed plus interest.
Mortgage loans are used to buy a home or to borrow money against the value of a home you already own.
Purchasing a point simply implies negotiating for a lower rate of interest, which involves paying 1% of the loan in lieu of 1% interest reduction.
A point implies a reduction in interest rate by 0.25% while 3 points would reduce the interest rate by 0.75%(0.25%*3)
New interest rate=4.5%-0.75%=3.75%
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Plz help asap, dhhdudhdhd
Answer:
x=15°
Step-by-step explanation:
Angles ∠2 and ∠4 are supplementary, so ∠2+∠4=180°
That equals to 2x+10+4x+80=180.
You can solve that equation to find what x is equal to.
2x+10+4x+80=180
6x+90=180
6x=90
x=15°
Please help thank you sm !
Which of the following statements are true?
Answer: It’s A
Step-by-step explanation:
A blueberry grows at the rate of 0.7mm per week. If the biggest blueberry in my farm is now 4.9mm, how long has it been growing for?
Answer:
7 weeks
Step-by-step explanation:
4.9/0.7=7
John charges a flat fixed fee of $10 PLUS a certain rate per hour for each hour for cutting the grass. John earned $100 one day, cutting the grass in a circular lawn. On the next day, to cut the grass in a similar adjacent circular lawn one third the circumference, how much money can he expect to make? ( with explanation )
Answer:
33.33 dollars
Step-by-step explanation:
Answer:
$20
Step-by-step explanation:
Of the $100 John earned, $90 was for his hourly charge, which we assume is proportional to the area being mowed.
A lawn with 1/3 the circumference has (1/3)^2 = 1/9 the area, so presumably takes 1/9 of the time to mow. John's hourly charge for the smaller lawn will be $90/9 = $10. Added to his flat fee, he can expect to be paid $20.
_____
The ratio of areas of similar figures is the square of the ratio of any of the linear dimensions. All circles are similar. Circumference is measured in "units" and area is measured in "square units." So, circumference is a linear dimension (units to the first power).
The value of a car depreciates by 40% each year. At the end of 2007 the value of the car was £3600 Work out the value of the car at the end of 2006 asap ples
Answer: $6,000
Step-by-step explanation: If set up correctly, the value of the car at the end of 2006 times 0.6 (because the car is losing 0.4 of its value, so it keeps 0.6 of its value) should get you the value of the car at the end of 2007.
The equation should look like this:
(value of the car at the end of 2006) x 0.6 = (value of the car at the end of 2007)
Then you substitute: (value at the end of 2006) x 0.6 = 3600
Then divide: (value at the end of 2006) = 0.6 ÷ 3600
Then substitute again: (value at the end of 2006) = 6,000
Hope this helped you! Feel free to ask me any questions!
What value for h would make the statement -4h = -14 true?
Answer:
3.5
Step-by-step explanation:
-14/-4=3.5
Which statement is true regarding the graphed functions?
Answer:
c
Step-by-step explanation:
Answer:
f(-2)=g(-2)
Step-by-step explanation:
f(-2)=g(-2) and point (-2, 4)
answer for me the question is in the pic
Step-by-step explanation:
This isn't a function. In the second quadrant there are two y-values for the x value of -2. Your answer is B.
Answer:
B
Y(1 - 2x) + xy²(I - 2x)²
Answer:
=i2xy2−4ix2y2+4x3y2−2xy+y
Step-by-step explanation:
Let's simplify step-by-step.
y(1−2x)+xy2(i−2x)2
Distribute:
=(y)(1)+(y)(−2x)+i2xy2+−4ix2y2+4x3y2
Answer: =y+−2xy+i2xy2+−4ix2y2+4x3y2
Hope this helps.