Answers
The simplification of the given expression [tex]\sqrt{18y^{21}[/tex] will be equal to [tex]3\sqrt{2} (y)^{\dfrac{21}{2}}[/tex]
What is simplification?The process of reducing the complex mathematical expressions into the simplest form is called as the simplification.
The simplification of the given expression will be:
[tex]=\sqrt{18y^{21}}\\\\\\=(18)^{\frac{1}{2} } \times (y)^{\frac{21}{2}}\\\\\\=3\sqrt{2}\times y^{\frac{21}{2}}[/tex]
hence the simplification of the given expression [tex]\sqrt{18y^{21}[/tex] will be equal to [tex]3\sqrt{2} (y)^{\dfrac{21}{2}}[/tex]
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Related Questions
Please help me GENIUS Rank
Directions: Complete the following frequency distribution table, then compute the mean, median, and mode of the distribution. Show your complete solutions. (25 points)
Class interval] frequency (f)] fxm
99-101 ] 17 ].
102-104 ] 25 ]
105-107 ] 13 ]
108-110 ]. 16 ]
111-113 ]. 29 ]
total ]N= ]. Efxm=
less than cumutalti frequency (<cf)
[. ]
[. ]
[. ]
[. ]
[. ]
[. ]
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there are 6 batteries in a small paket ofbatteries. there are 9 batteries in a large paket ofbatteries. chow buys m small pakets of batteries and g large pakets of batteries. write down a formula in terms of m and g for t
Answers
Answer:
t = 6m + 9g.
Step-by-step explanation:
Total number of batteries is t.
t = 6m + 9g.
Kindly Answer This And Don't Waste My PTS! ☁️
PROBLEM NUMBER 1: Solve 5x+2=22
PROBLEM NUMBER 2: Solve 2x+5=12
PROBLEM NUMBER 3: Solve 2x-5=7
Answers
====================================
[tex] \large \sf \underline{Problems:}[/tex]
PROBLEM NUMBER 1: Solve 5x+2=22PROBLEM NUMBER 2: Solve 2x+5=12PROBLEM NUMBER 3: Solve 2x-5=7====================================
[tex] \large \sf \underline{Answers:}[/tex]
[tex] \large \qquad \qquad \bold{ \#1. \: x \: = \: 4}[/tex]
[tex] \large \qquad \qquad \bold{ \#2. \: x \: = \: \frac{7}{2} }[/tex]
[tex] \large \qquad \qquad \bold{ \#3. \: x \: = \: 6}[/tex]
====================================
[tex] \large \sf \underline{Solutions:}[/tex]
Problem Number 1:-[tex] \large\rm{5x \: + \: 2 \: = \: 22}[/tex][tex] \large\rm{5x \: = \: 22 \: - \: 2}[/tex][tex] \large\rm{5x \: = \: 20}[/tex][tex] \large\rm{x \: = \: \frac{20}{5} }[/tex][tex] \large\rm\green{x \: = \: 4}[/tex][tex] \therefore[/tex] The answer of you're problem is x = 4.
====================================
Problem Number 2:-[tex] \large\rm{2x \: + \: 5 \: = \: 12}[/tex][tex] \large\rm{2x \: = \: 12 \: - \: 5}[/tex][tex] \large\rm{2x \: = \: 7}[/tex][tex] \large\rm\green{x \: = \: \frac{7}{2} } [/tex][tex] \therefore[/tex] The answer of you're problem is 7/2.
====================================
Problem Number 3:-[tex] \large\rm{2x \: - \: 5 \: = \: 7}[/tex][tex] \large\rm{2x \: = \: 7 \: + \: 5}[/tex][tex] \large\rm{2x \: = \: 12}[/tex][tex] \large\rm{x \: = \: \frac{12}{2} } [/tex][tex] \large\rm\green{x \: = \: 6}[/tex][tex] \therefore[/tex] The answer of you're problem is x = 6.
====================================
Hope this helps!
1: In a class of 30 students, half of the students like to watch cartoon channels on TV and one sixth like to watch informative channels. The rest like to watch movies. How many students like to watch movies?
Answers
first, to find what a sixth of 30 is, you have to divide your number by the denominator (30/6) which is 5, then add that to half of thirty (15) to find out how many kids DONT watch movies. 15+5=20, and to find how many kids are remaining you have to do 30-20, which equals 10, meaning there are a total of ten kids who like to watch movies.
(1.1x10^-3) - (9.6x10^-4)
Answers
Answer:
0.00014
Step-by-step explanation:
just use calculator...
(1.1x10^-3) - (9.6x10^-4) = 0.00014
the first three terms of a G.P is are x+1, x-3 and x-1 find the value of x
Answers
[tex]\text{First term,}~ a = x+1\\\\\text{Common ratio,}~ r = \dfrac{x-3}{x+1}= \dfrac{x-1}{x-3}\\\\\text{Now,}\\\\~~~~~~\dfrac{x-3}{x+1} = \dfrac{x-1}{x-3}\\\\\\\implies (x-3)(x-3) = (x-1)(x+1)\\\\\\\implies (x-3)^2 = x^2 -1\\\\\\\implies x^2 -2\cdot 3x +3^2 =x^2 -1\\\\\\\implies -6x+9=-1\\\\\\\implies -6x = -1 -9\\\\\\\implies -6x = -10\\\\\\\implies x =\dfrac{-10}{-6}\\ \\\\\implies x = \dfrac 53[/tex]
100 POINTS i need help fast!
Answers
Answer:
Step-by-step explanation:
you multiple each hight and base
Step-by-step explanation:
For this problem, it's better to look at the shapes individually, or to draw imaginary lines on the figure given to better illustrate it. Starting at the bottom, I imagine the figure at the bottom as an individual rectangle, where i can just multiply 3 and 2 to get 6. Next, you have the big rectangle. The length is 5 (not the 9; the 9 includes the square at the bottom and the long rectangle) , and in order to find the width, you have to add 4 and 3 to get 7. Then, multiply 7 and 5 to get 35. Next, you'll need to find the long rectangle. The height is 2, and the width is 14 (the rectangle that we just did plus the additional length labeled). 2 times 14 is 28. Finally, the triangle. Since you know the whole length of the shape is 14, you can subtract the side lengths next to the triangle (the 2 and the 6) from 14, to get 6 as the base. Multiply 7 and 6 to get 42, and divide 42 by 2 (21) since that's the area formula for a triangle.
A rectangular prism has a
length of 2 1/2yd, a width of 1 1/2yd, and a height
of 1 1/2yd. You use cubes with fractional edge
lengths of 1/2 yd to find the volume. How many
cubes are there for each of the length, width,
and height of the prism? What is the volume of
the prism?
Answers
Step-by-step explanation:
we need 2 1/2 × 2 = 5 cubes along the length.
1 1/2 × 2 = 3 cubes along the the width.
and 1 1/2 × 2 = 3 cubes along the height.
altogether we need
5×3×3 = 45 cubes
and the volume is
2 1/2 × 1 1/2 × 1 1/2 = 5/2 × 3/2 × 3/2 = 45/8 = 5 5/8 yd³
There are 96 cubes are there for each of the length, width, and height of the prism.
The volume of a rectangular prism is 12 yd³.
What is the prism?A prism is a three-dimensional solid object in which the two ends are identical. It is the combination of flat faces, identical bases, and equal cross-sections.
A rectangular prism has a length of 2 1/2yd, a width of 1 1/2yd, and a height
of 1 1/2yd.
length 2 1/2 and half yd = 2 1/2+ (1/2) yd = 5/2 + 1/2 = 6/2= 3 yd
Width 1 1/2 and half yd = 1 1/2 + (1/2) yd = 3/2 + 1/2 = (4/2) = 2 yd
Height 1 1/2 and half yd = 1 1/2 + (1/2) yd = 3/2 + 1/2 = (4/2) = 2 yd
Cubes of edge length (1/3) yd are used to fill the rectangular prism.
The length would contain (3) ÷ (1/2) = 6
The width would contain (2) ÷ (1/2) = 4
The height would contain (2) ÷ (1/2) = 4
How many cubes are there for each of the length, width, and height of the prism?
6 × 4 × 4 = 96 cubes
There are 96 cubes are there for each of the length, width, and height of the prism.
What is the volume of the prism?
The volume of rectangular prism = 3 × 2 × 2 = 12
The volume of a rectangular prism is 12 yd³.
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complete the steps to solve the equation
Answers
Answer:
attached below
Step-by-step explanation:
minus 2 from each side in order to isolate T with the coefficient. To get rid of the coefficient multiply to get 1 which is 5 in this case. Then the answer will be 75
Your company offers two types of insurance plans:
* Option A costs $20 per doctor visit.
* Option B requires you to pay a $250 deductible to activate your coverage and $10 per visit.
Enter an equation that can be used to find the number of visits (v) needed for the two plans to cost you the same amount.
Answers
Answer:
10 x 2 = 20 dollars. 250/12= 20.8333333
Step-by-step explanation:
For -3y+2x=-18 determine the value of y when x = 0, and the value of x when y = 0.
Answers
Hello!
We have two different scenarios that we have to solve in the question. We will be solving for both the x and y variable.
We were given the equation: -3y + 2x = -18
To solve for our variables, we will use the values given in our question.
Solve:
Lets solve for the value "y", where our x = 0
Plug in 0 to x and solve:
-3y + 2(0) = -18
-3y = -18
y = 6
Lets now solve for the value "x", where our y = 0
Plug in 0 to y and solve:
-3(0) + 2x = -18
2x = -18
x = -9
Therefore, our answers would be: y = 6, x = -9
Answer:
y = 6
x = -9
can someone please help me with this math problem please fast
Answers
4x10^2+3x10^3=
Please see the attached photo
Answers
Answer:
3.4
Step-by-step explanation:
Converting all terms to multiples of 10³ :
4 × 10² + 3 × 10³0.4 x 10³ + 3 x 10³(0.4 + 3) × 10³3.4 × 10³Find the sum.
35/100 + 5/10
Answers
Answer:
0.85
Step-by-step explanation:
35 divided by 100= 0.35 + 5 divided by 10 = 0.5
0.35 + 0.5 = 0.85
Answer:
17/20
Step-by-step explanation:
35/100+5/10
=35/100+50/100
=85/100
=17/20
Did I do it right? If the measure of ∠DAB=51∘, ∠CAB=x, and ∠DAC=x+1, find the measure of ∠CAB
Answers
If the measure of angles ∠DAB = 51° and the value of x is 25. Then the measure of angle ∠CAB will be 25°.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
If the measure of angles ∠DAB = 51°, ∠CAB = x, and ∠DAC = x + 1.
Then the measure of angle ∠CAB will be
We know
∠CAB + ∠CAD = ∠DAB
x + x + 1 = 51
2x = 50
x = 25
Then the measure of the angle ∠CAB will be
∠CAB = x
∠CAB = 25
∠CAB = 25°
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A bread recipe contains 60g of butter, 40g of salt and 100g of flour.
a) Determine what fraction of the ingredients is butter. Simplify if possible.
b) Express this fraction as a decimal.
c) What percentage of the ingredients are salt and flour?
Answers
Step-by-step explanation:
a.
add up all the grams to get the total
60 + 40 + 100 = 200
butter is 60 out of 200 or
60/200 or (divide top & bottom by 20)
3/10 = answer
b.
3 ÷ 10 =
.33 = answer
c.
salt =
40 ÷ 200 = 1/5 = .20 =
20% = answer
flour
100 ÷ 200 = 1/2 = .50 =
50% = answer
How many solutions does the following equation have? 4x -6 = 2(2x+3)
Answers
Answer:
None
Step-by-step explanation:
[tex]4x-6 = 2(2x+3)\\4x-6 = 4x+6\\0x -12 = 0\\no solutions[/tex]
Answer: There are no solutions for the equation.
Step-by-step explanation:
4x - 6 = 2(2x + 3)
4x - 6 = 4x + 6
-6 = 6
Please answer! Will give brainliest please and thank you
Answers
Answer:
119 square ft is the answer now give me brainliest
Please help me math
Answers
Answer:
Diagonal is = 16.97
Step-by-step explanation:
To find the length of a diagonal across a square use this formula
d = √(2×area)Plug in
d = √(2×144)d = √288D = 16 . 97
Free easy points will give Brainliest
6^2+4^2=C^2
Answers
Answer: c = about 7.21
Step-by-step explanation:
ok - pythagorean theorum
6^2+4^2=C^2
36 + 16 = c^2
52 = c^2
root both sides
c = about 7.21
The solution to the equation 6^2 + 4^2 = C^2 is approximately 7.21
How to solve the equation?The equation is given as:
6^2 + 4^2 = C^2
Evaluate the exponents of 6 and 4
36 + 16 = C^2
Evaluate the sum
52 = C^2
Take the square root of both sides
7.21 = C
Rewrite as:
C = 7.21 (approximated)
Hence, the solution to the equation is approximately 7.21
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Select the correct answer.
Consider functions fand g.
f(x) = 11x3 - 3x²
g(x) = 7x4 + 9x3
Which expression is equal to f(x) · g(x)?
OA. 74 +99x3 - 3x²
OB.
77x12 +999 - 21x8 - 2716
C.
18x7 + 10x6 + 6x5
OD.
777 + 7816 - 2715
Answers
The value of the composite function f(x) . g(x) is 77x^7 + 78x^6 - 27x^5
How to evaluate the composite function?The functions are given as:
f(x) = 11x^3 - 3x^2
g(x) = 7x^4 + 9x^3
The value of f(x) . g(x) is calculated as:
f(x) . g(x) = (11x^3 - 3x^2) * (7x^4 + 9x^3)
Expand
f(x) . g(x) = 77x^7 + 99x^6 - 21x^6 - 27x^5
Evaluate the like terms
f(x) . g(x) = 77x^7 + 78x^6 - 27x^5
Hence, the value of the composite function f(x) . g(x) is 77x^7 + 78x^6 - 27x^518x^5
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the figure below is composed of two quarter circles and one right triangle
Answers
Find. The unit vector. Multiple choice
Answers
Answer:
D
Step-by-step explanation:
6i = 3/5i
8j = 4/5j
3/5i + 4/5j
Which of the following images shows only parallel lines highlighted in red? Figure A has four line segments connected to form a square, with the circle in the upper left corner colored red. Figure B has four line segments connected to form a square, the line segment on the right and the bottom line segment connect at the vertex and are colored red. Figure C has four line segments connected to form a square, with the bottom line segment colored red. Figure D has four line segments connected to form a square, with the top line segment and the bottom line segment colored red. Group of answer choices Figure A Figure B
Answers
Expla; suauyes
How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm? more than one none one
Answers
Answer:
None
Step-by-step explanation:
By using the equation a^2 +b^2=c^2 we can see if it will work.
Substitute a for 6 and b for 2 to get 6^2+2^2=40
when you [tex]\sqrt{40}[/tex] you don't get 7 therefore you cant make any triangles
What is the remainder in the synthetic division problem below?
4 6 - 1
A. 3
B. 7
C. 5
D. 9
Answers
Answer:
so,6-1 3+7x5 9
Multiple: 7 * 5 = 35
Divide: the result of step No. 1 / 9 = 35 / 9 = 3.88888889
Add: 3 + the result of step No. 2 = 3 + 3.88888889 = 6.88888889
Consider the equation:
x^2= -8x – 7
1) Rewrite the equation by completing the square.
Your equation should look like (2 + c)2 = dor (x – c)2 = d.
---
-
2) What are the solutions to the equation?
Answers
Answer:
Step-by-step explanation:
Question 1:
x² = -8x - 7
x² + 8x = -7
(x + 4)² = 9
So the answer is (x + 4)² = 9
Question 2:
(x + 4)² = 9
So x = -4 ± 3
Ashley has finished 7/25 of her homework what percentage of the homework does Ashley still need to finish
Answers
Answer:
72 percent
Step-by-step explanation:
7/25, x 4 to get a fraction of 100
28/100
100 - 28 = 72
72 percent
Answer:
Ashley still needs to finish 72 percent of her homework
Step-by-step explanation:
Happy to help!! :D
can you please help me please:(…
Answers
Answer:
The function is linear
Step-by-step explanation:
"I disagree with Maryam because if we substitute the values and graph the function, it will turn out to be linear."
EXPLAIN IN YOUR OWN WORDS PLEASE!!!! ILL GIVE BRAINLIEST!!!
A scale drawing of a kitchen is shown below. The scale is 1 : 20. A rectangle is shown. The length of the rectangle is labeled 4 inches. The width of the rectangle is labeled 5 inches. Show your work to determine the area of the room in square feet.
Answers
Answer: 55 [tex]\frac{5}{9}[/tex] feet² or 55.556 feet²
Step-by-step explanation:
The scale means that for ever one in the scale drawing, it is 20 in the actual room. We will convert the dimensions using proportions.
[tex]\frac{5}{x}=\frac{1}{20}[/tex]
100 = x
-> The length is 100 inches
[tex]\frac{4}{x}=\frac{1}{20}[/tex]
80 = x
-> The width is 80 inches
The area of a rectangle can be found by multiplying the length by the width:
A = L * W
A = 100 * 80
A = 8,000 inches²
To get this into square feet, we will divide by 144. Why? There are 12 inches in a foot. 12 times 12 is 144.
8,000 inches² / 144 = 55 [tex]\frac{5}{9}[/tex] feet²
The area of the room, in square feet, is 55 [tex]\frac{5}{9}[/tex] feet².
