Answers
Answer:
-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³
Step-by-step explanation:
( - 6a³b + 2ab²)( 5a² - 2ab² b)
multiply the second parantheses by each term from the first parantheses.
-6a³b×(5a²- 2ab²b -b)+2ab×(5a² -2ab²b-b)
-6a³b× (5a² - 2ab² b) +2ab × (5a² - 2ab² b)
-30 a⁵b + 12a⁴b² + 6a³b²+ 10a³b² - 4a²b⁴ - 2ab
combine like terms
-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³
Related Questions
In ΔUVW, the measure of ∠W=90°, WV = 24, UW = 7, and VU = 25. What is the value of the sine of ∠U to the nearest hundredth?
Answers
Answer:
sinU = 0.96
Step-by-step explanation:
sinU = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{WV}{UV}[/tex] = [tex]\frac{24}{25}[/tex] = 0.96
find the length of side x in simplest radical form with a rational denominator.
Answers
Answer:
[tex]3\sqrt{3}[/tex]
Step-by-step explanation:
In all 30-60-90 triangles, the side lengths are in the ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]x[/tex] is the side opposite to the 30 degree angle and [tex]2x[/tex] is the hypotenuse of the triangle. Since the side opposite to the 30 degree angle is marked as 3, the value of [tex]x[/tex] must be [tex]\boxed{3\sqrt{3}}[/tex].
Alternatively, we can use basic trig. for a right triangle to solve. In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side. Thus, we have:
[tex]\tan 60^{\circ}=\frac{x}{3},\\x=3\tan 60^{\circ}=\boxed{3\sqrt{3}}[/tex]
Answer:
Step-by-step explanation:
The tangent of a 60 degree angle = Sin(60) / Cos(60)
Sin(60) = Square root (3) / 2
Cos(60) = 1/2
Tan(60) = √3 / 2 // 1/2 Invert the denominator and multiply
Tan(60) = √3/2 * 2/1
Tan(60) = √3
Tan(theta) = opposite / adjacent
Tan(theta) = x/3 in this case
Tan(60) = √3 = x/3
x = 3*√3
HELP FAST TO WHOEVER CAN PLEASE !!
Answers
A rectangular room is twice as long as its breadth and its perimeter is 48 m. Find the cost of carpeting its floor at Rs. 75 per sq.m.
Answers
Now we can find the surface area because the length is 2x so we substitute the 8 in and we get the length to be 16, and the breadth to be 8 (because breadth = x and x = 8)
Total area = length x width = 16 x 8 = 128
Enter the coordinates of the point on the unit circle at the given angle. 135° (-VII, VI Enter
Answers
The coordinates of the point on the unit circle at the given angle. 135° is (-√2 / 2, √2 / 2).
What is a unit circle?A circle on the Cartesian Plane with a radius of one unit and a center position is referred to as a unit circle (0, 0). When working with angles and trigonometric functions, the unit circle is a useful tool that makes reference much simpler. The Pythagorean Theorem can be used with the unit circle.
Given:
The unit circle at the given angle 135°,
Calculate the value of sin45 as shown below,
sin (180 - 135) = 1 / √2
sin 45 = 1 / √2
cos(180 - 135) = 1 / √2
cos45 = 1 / √2
Write the coordinates as shown below,
Coordinates = (1 / √2 × √2 / √2, 1 / √2 × √2 / √2 ) (Second quadrant is (-x, y))
Coordinates = (-√2 / 2, √2 / 2)
Thus, the coordinates are (-√2 / 2, √2 / 2).
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What is the resulting ordered pair if the value of the independent variable is -1?
f(x)= -5x - 4x +2
A. (-1, 1)
B. (-1, 11)
C. (2,-6)
D. (1, -1)
Answers
A 3-column table with 5 rows. Column 1 is labeled Tickets with entries 2, 4, 6, 8, 10. Column 2 is labeled Total Cost for Aquarium with entries 29, 58, 87, blank, blank. Column 3 is labeled Total Cost for Wave Pool with entries 33.5, 67, blank, blank, blank.
Gale found out that the wave pool has a money-saving deal: if more than 4 people attend, the tickets are discounted from $16.75 each to $12.25 each.
Calculate to determine how much 6 tickets to the wave pool will cost.
$
Answers
Answer
What event will cost the least for 9 tickets?
the wave pool
How much less will this event cost?
$20.25
Hope it helps :)
Step-by-step explanation:
Plz help ill give u brainlyest
Answers
Answer:
416 feet squared
Step-by-step explanation:
Answer:
208 ft
Step-by-step explanation:
4*4+4*16+4*16+6*4+4*4+6*4
which of the following is equivalent to 2cos^2(x) - cos(2x)? A. sin(2x) B. Sin^2(x) C. 1 D. 2
Answers
Answer:
C. 1
Step-by-step explanation:
2cos²(x) - cos(2x) = 1
Answer:
C
Step-by-step explanation:
Using the identity
cos2x = 2cos²x - 1 , then
2cos²x = cos2x + 1
Given
2cos²x - cos2x
= cos2x + 1 - cos2x
= 1 → C
Brooke paints the outsides of the square walls and triangular ceilings of her treehouse. What area does she paint? Enter to your answer in the box
Answers
Explanation: The area of a square is 36, there are five squares which equals 180. Then you have to add the area of the four triangles, which one triangle has the area of 18. Which equals 72 for all the triangles. If you add 180 and 72 it equals 252
Find the volume of the triangular prism.
Answers
Answer:
18 i think
Step-by-step explanation:
Choose the number(s), if any, that make the equation or inequality true from the following set of numbers: {3, 4, 7, 9,12,18,32}.
number one:1/3f=4
number two:1/3 f < 4
number three: m + 7 =20
number 4: m + 7 ≥ 20
Answers
Answer:-2
Step-by-step explanation:
Helen draws a random circle.
She then measures its diameter and circumference.
She gets a circumference, C, of 405 mm correct to 3 significant figures.
She gets a diameter, d, of 130 mm correct to 2 significant figures.
Helen wants to find the value of n using the formula 1 =-
응
Calculate the lower bound and upper bound for Helen's value of it.
Give your answers correct to 3 decimal places.
Answers
Answer:
Lower Bound = 2.996
Upper bound = 3.244
Step-by-step explanation:
find the volume of the prism please
Answers
Step by step: 4*2*9=72
Answer:
the answer is 72
Step-by-step explanation:
when your finding volume use the formula length x width x height
PLEASE HELPPPPPPPPPPPPP MEEEEEEEEEEEE
Answers
Answer:
7/24
Step-by-step explanation:
two minuses make a +,
meaning this equation is basically
-1/12+3/8
find a common denominator by LCM.
8,16,24,32
12,24,36,48
they share 24
denominator is 24
12*2 is 24, -1*2 = -2. 8*3 = 24 so we do 3*3 = 9
-2+9/24
7/24
Exact Form:
7
24
7
24
Decimal Form:
0.291
¯
6
How much growth or decay is 50(1.05)^t<100
Answers
Answer:
5% growth.
Step-by-step explanation:
1.05 = 1 + 0.05 = 1 + 5%
It is 5% growth.
A. 6
B. 2
C. 0.4
D. -6
Answers
Answer:
6
Step-by-step explanation:
Hope thats the correct answer.
Determinants and inverses
Answers
Answer:
first qustion the last one .
second qustion the first one .
Find the sum of the numbers. Express your answer in scientific notation.
(6.94 x 10-7)+(2.7x10-)
O 7.21x 10-
O 9.64 x 10-
O 7.21x10-2
O 9.64 x 10-7
Answers
Answer:
7.21 × 10⁻⁷
Step-by-step explanation:
(6.94 × 10⁻⁷) + (2.7 × 10⁻⁸) = 7.21 × 10⁻⁷
Complete the Steps to Solve the Equation -13x-11=-37
-13x-11=-37
-13x=
Answers
Answer:
x=2
Step-by-step explanation:
-13x-11=-37 Original equation
-13x=-26 Add 11 to both sides
x=2 Divide both sides by -13
PLEASE HELP QUICKLY - ATTACHED BELOW MATHS
Answers
Answer:
113.081 mm²
Step-by-step explanation:
A semicircle is the half part of a circle. And we know that the semicircle have 24 mm of diameter, and the radius is 24/2 = 12 mm. The small circle is inside the semicircle, so its diameter is equal to the radius of the semicircle, and its radius is 12/2 = 6mm
Now, consider π = 3.141, the area of the small circle is:
π•6² = 3.141 • 36 = 113.076 mm²
The area of the semicircle is (π•12²)/2 = (3.141•144)/2 = 226.151 mm²
Now, you just subtract the areas:
226.151 - 113.076 = 113.081 mm²
Can someone help me?It's urgent and thank you!
Answers
Answer:
$575.71
Step-by-step explanation:
A = 960(1-.12)^4
A = 960(.88)^4
A =575.71
Answer:
$575.71
Step-by-step explanation:
100-12=88
(0.88)⁴×960= 575.707
One integer is 10 more than another, Their sum is 4. What are the 2 integers? PLEASE HELP!
Answers
Answer:
The two integers are : -3 , 7
Step-by-step explanation:
Let the integers be x and y
Given one of the integer is 10 more than the other, Let x = y + 10 -----(1)
Also Given sum of integers . x + y = 4 ----------- (2)
Substitute ( 1 ) in (2)
x + y = 4
(y + 10) + y = 4
y + 10 + y = 4
2y + 10 = 4
2y = 4 - 10
2y = -6
y = -3
Substitute y = -3 in ( 1 ) : x = - 3 + 10 = 7
What is the domain of the function on the graph
Answers
Answer:
The domain is all x-values or inputs of a function. hope this helps!
Step-by-step explanation:
Graph h(x)=-x^4 +3
Use the parabola tool then choose the vertex followed by one point on the parabola.
Answers
The y intercept is 3 and the x intercepts are +1.3 and -1.3
The graph is given below.
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
Here, we have,
h(x)=-x^4 +3
so, The y intercept is 3 and the x intercepts are +1.3 and -1.3
The graph is given below.
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7x+40
5x+20
Find the value of x.
Answers
Answer:
x = - 10
Step-by-step explanation:
7x + 40 = 5x + 20
7x + 40 - 40 = 5x + 20 - 40
7x = 5x - 20
7x - 5x = 5x - 5x - 20
2x = - 20
2x ÷ 2 = - 20 ÷ 2
x = - 10
Find the volume. It’s a cilinder
6 in.
10 in
Answers
Answer:1130.97
Step-by-step explanation:
V=πr2h=π·62·10≈1130.97336
Which theorem shows that ABC = DEF?*
Answers
Answer:
SAS Congruence TheoremStep-by-step explanation:
In ABC. In DEF
AB. = DE. (Given side)
<BAC. = <EDF. (Given side)
BC. = EF. (Given side)
Hence,
Triangle ABC is congruent to Triangle DEF by SAS Congruence Theorem.
HELPPPPP!!! ASAPPPPP!!!!!
Answers
Answer:
12[tex]\sqrt{3}[/tex] / 24
Step-by-step explanation:
ΔXZW is a 30-60-90 triangle whose sides are in the ratio of 1 : [tex]\sqrt{3}[/tex] : 2, respectively
also, ΔXZW ≅ ΔYZW
so XW = 12
XZ = 24
WZ = 12[tex]\sqrt{3}[/tex]
cos ratio of ∡XZW is WZ/XZ which is:
12[tex]\sqrt{3}[/tex] / 24
Select the correct answer.
Simplify the expression 5^-3 x 5^-5
A 1/5^2
B -5^2
C 5^2
D 1/5
Answers
Answer:
A 1/5^2
Step-by-step explanation:
5^3 x 5^-5
We know that a^b* a^c = a^(b+c)
5^3 x 5^-5 = 5^(3-5) = 5^-2
We also know that a^-b = 1/ a^b
5^-2 = 1/5^2