Answer:
Question A)
[tex]=\sqrt{6}x[/tex]
Question B)
[tex]=3a\sqrt{a}[/tex]
Question C)
[tex]=5\sqrt{2}b^2[/tex]
Step-by-step explanation:
A)
We are given:
[tex]\sqrt{6x^2}\, \text{ where } x\geq 0[/tex]
We can rewrite the expression:
[tex]=\sqrt{6}\cdot \sqrt{x^2}[/tex]
The square root and square will cancel each other out. Thus:
[tex]=\sqrt{6}x[/tex]
B)
We are given:
[tex]\sqrt{9a^3}[/tex]
Rewrite:
[tex]=\sqrt{9}\cdot \sqrt{a^3}[/tex]
Note that the square root of 9 is simply 3. We can also factor the second part:
[tex]=3\cdot \sqrt{a^2\cdot a}[/tex]
Rewriting:
[tex]=3\cdot\sqrt{a^2}\cdot\sqrt{a}[/tex]
Simplify:
[tex]=3a\sqrt{a}[/tex]
C)
We are given:
[tex]\sqrt{50b^4}[/tex]
Rewrite. Note that 50 = 25(2):
[tex]=\sqrt{25}\cdot \sqrt{2}\cdot \sqrt{b^4}[/tex]
Simplify. We can rewrite the factor as:
[tex]=5\cdot \sqrt{2}\cdot \sqrt{(b^2)^2}[/tex]
The square and square root will cancel out. Thus:
[tex]=5\sqrt{2}b^2[/tex]
A store owner buys a case of 144 pens for $28.80. He sells the pens for $0.40 each. The owner claims that they marked the pens up by 50% before selling them. Prove that the owner calculated their markup correctly. If they did not, how much of a markup actually occurred?
Answer: $0.3
Step-by-step explanation:
Given
The owner buys 144 pens for $28.80 i.e. each pen costs
[tex]\dfrac{28.80}{144}=\$0.2[/tex]
owner sells the pen at $0.4 i.e. price marked up by
[tex]\Rightarrow \dfrac{0.4-0.2}{0.2}\times 100=100\%[/tex]
So, the claim of the owner is incorrect
The actual increase in the price to get 50% markup
[tex]\Rightarrow 0.2\times (1+0.5)=\$0.3[/tex]
A quadratic function is given. f(x) = 3r-x+6 What is f(2)?
F 40
28
16
Answer:
answer is 16
good day mate
what are remainder theorem
Answer:
Step-by-step explanation:
When doing synthetic division, if the remainder is zero, we know that the divisor is a root of the polynomial. If the remainder is not zero, the remainder is the function vaue for that divisor.
***WILL BE MARKED BRAINLIEST***
Answer:
a
Step-by-step explanation:
state the equation of a line with slope m=2 and y intercept =3 then graph the line
Answer:
y=2x+3
The coefficient attached to x is the slope and the number being added to it is the y intercept.
Please see the attached image
A polynomial of degree 3 is multiplied by a polynomial of degree 5. What is the degree of the product?
Answer:
8
Step-by-step explanation:
The degree of a polynomial refers to the term with the highest exponent. Thus the highest exponent in a degree 3 polynomial is x3; for a degree 5 polynomial, it's x5. When you multiply
x3*x5 = x3+5 = x8.
So the product of a degree 3 polynomial and a degree 5 polynomial is a degree 8 polynomial.
Your leading term will result from the 3-degree term of the first polynomial, and the 5-degree term of the second. So you'll have something like ax3 * bx5. That will result in x3*x5=x8, so your product will have degree 8.
Why does the moon goes through phases?
A.
The moon rotates around its axis.
B.
The moon revolves around Earth.
C.
Earth rotates around its axis.
D.
Earth revolves around the sun.
It is because the moon revolves around Earth.
Hope it helps you...
factorize the equation 6x^2+13x+6
Answer:
(2x+3)(3x+2)
Step-by-step explanation:
.....
......
..............
Answer:
(2x + 3)(3x + 2)
Step-by-step explanation:
[tex]6x^2+13x+6 \\ \\ = 6x^2+9x + 4x+6 \\ \\ = 3x(2x + 3) + 2(2x + 3) \\ \\ = (2x + 3)(3x + 2)[/tex]
If Tony wants to add a 22% tip to his $35 charge from the barbershop, how much should he add?
Answer:
Tony should add $7.70
Step-by-step explanation:
22% = 0.22
0.22 x $35 = $7.70
1 2/3 x 7 1/2.
Multiplying mixed numbers
Can you guys please say step by step
Answer:
142.
Step-by-step explanation:
=12×71/3×2
=852/6
=142
what's the distance between theses two. (-5, 1) (2, 4)
Answer: squareroot of 58
You can solve this problem simply by using the distance formula . Using the distance formula we can solve this problem by just placing the numbers and then solving the equation.
(f+g)(2)=
(f-g)(2)=
(fg)(2)=
Answer:
(f + g)(2) = 16
(f - g)(2) = 0
(fg)(2) = 64
Step-by-step explanation:
f(2) = 8 g(2) = 8
(f + g)(2) = f(2) + g(2) = 8 + 8 = 16
(f - g)(2) = f(2) - g(2) = 8 - 8 = 0
(fg)(2) = f(2)g(2) = 8(8) = 64
What is equivalent ratio of 5:8:4 and explain how u got it
this is example
So, first we need to write the given ratio as fraction,
= 8/18
= (8 × 2)/(18 × 2)
= 16/36
= 16 : 36 (one equivalent ratio),
So, 16 : 36 is an equivalent ratio of 8 : 18.
Now we will find another equivalent ratio of 8 : 18 by using division.
Similarly, first we need to write the given ratio as fraction,
= 8/18
= (8 ÷ 2)/(18 ÷ 2)
= 4/9
= 4 : 9 (another equivalent ratio)
So, 4 : 9 is an equivalent ratio of 8 : 18.
Therefore, the two equivalent ratios of 8 : 18 are 16 : 36 and 4 : 9.
2. Frame two equivalent ratios of 4 : 5.
Solution:
To find two equivalent ratios of 4 : 5 we need to apply multiplication method only to get the answer in integer form.
First we need to write the given ratio as fraction,
= 4/5
= (4 × 2)/(5 × 2)
= 8/10
= 8 : 10 is one equivalent ratio,
Similarly again, we need to write the given ratio 4 : 5 as fraction to get another equivalent ratio;
= 4/5
= (4 × 3)/(5 × 3)
= 12/15 is another equivalent ratio
Therefore, the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.
Note: In this question we can’t apply division method to get the answer in integer form because the G.C.F. of 4 and 5 is 1. That means, 4 and 5 cannot be divisible by any other number except 1.
The two equivalent ratios of 5:8:4 are 8: 10 and 12: 15.
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts. In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
First, we need to write the given ratio as a fraction,
F= 8/18
F= (8 × 2)/(18 × 2)
F= 16/36
F= 16 : 36 (one equivalent ratio),
16: 36 is an equivalent ratio of 8: 18.
Find another equivalent ratio of 8: 18 by using division. Similarly, first, we need to write the given ratio as a fraction,
F= 8/18
F= (8 ÷ 2)/(18 ÷ 2)
F= 4/9
F= 4 : 9 (another equivalent ratio)
4: 9 is an equivalent ratio of 8: 18.
Therefore, the two equivalent ratios of 5:8:4 are 16: 36 and 4: 9.
To know more about equivalent ratio follow
https://brainly.com/question/2328454
#SPJ5
(2 x 10^4) + (7 X 10^4) =
Answer:
90,000
Step-by-step explanation:
10^4=10,000.
2*10,000=20,000
7*10,000=70,000
20,000+70,000=90,000
Jackson is comparing two squares. The first square has an area of 64 cm2. The second square has an area of 121 cm2. What is the difference in the perimeters of the two squares in centimeters?
Answer:
12 cm difference
Step-by-step explanation:
√64 cm² = 8 cm
8 cm x 4 = 32 cm perimeter
√121 cm² = 11 cm
11 cm x 4 = 44 cm perimeter
44 cm - 32 cm = 12 cm difference
Kianna says that Elena’s house is actually a reflection of her house across the y-axis.
Is Kianna right?
Answer: Kianna is incorrect, if Elena’s house was a reflection of her house across the y-axis, the coordinates would be (-4,2).
Step-by-step explanation:
If the perimeter of a rectangle is 24 cm and one dimension is 10 cm, what is the area?
Answer:
40
Step-by-step explanation:
Answer:
24-10-10=4
4/2=2
10*2=20
20Step-by-step explanation:
answer this for 15 and branlyist
Answer:
Financial Literacy = 25
Model with mathematics:
a) cranes = 40 panthers = 40
b) yes, finding the mean is a good way of determining which team has the better record, because "finding the mean" is just finding the average.
Step-by-step explanation:
Financial Literacy:
24 = [tex]\frac{x+15+20+10+12+20+16+80+18}{9}[/tex] → [tex]24 = \frac{191}{9}[/tex]
24×9=x · 191
→ 216 = x · 191
→ 216-191=x
x = 25
Model with Mathematics:
Add all six wins and divide by how many seasons there are. (do it for both sides. Also, I'm too lazy to type it out.)
The radius of a circle is 3 meters what's the circles area Use 3.15 for^
Answer:
The area of the circle is 28.26 m
Step-by-step explanation:
A = π r^2
A = (3.14) × 3^2
A = 28.26
Area of the circle = 28.26 m
(I'm sorry but I think you made a mistake, PI is 3.14 not 3.15) :)
what are all possible values for x in the equation x^3=375?
Answer:
Select all possible values for x in the equation.
x cubed=375.
5*the cubed root of 3
the cubed root of 375
75*the cubed root of 5
125*the cubed root of 3
I am trying to do a practice test to prepare for my real test tomorrow and I don't understand the question. Can anyone help explain it plz any help would be great.
Step-by-step explanation:
The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 2 cm and 8 cm long. Find the length of the altitude to the hypotenuse? (Round to the nearest whole number). What is the Altitude ?
Answer:
Altitude of the right triangle is 4 cm.
Step-by-step explanation:
The altitude divides the right triangle's hypotenuse as 2 cm and 8 cm long.Let's use formula for similar right triangles proportional equation.I'll show you the diagram with steps.
please help im desperate!!!
Answer:
1st one = 4th option
2nd one = 3rd option
Step-by-step explanation:
help quick which ones greater 7.133 is _______ 7.1437
Answer:
7.1437 is greater
Step-by-step explanation:
Answer:
7.133 < 7.1437
Step-by-step explanation:
Line up the numbers till you find one that is greater
-2021
English
g
p
Which angles are corresponding angles? Select all that
apply.
o 21 and 23
5
3
7
6
4
8
26 and 28
22 and 28
25 and 27
22 and 27
23 and 26
Answer:
I'm not too sure what you mean but since there was no image I tried to look up how to tell if angles are corresponding based on angle degree and the most I got was the angles will be equal but only if there is a transversal cur but none of the answers equal each other
Step-by-step explanation:
so what advice I can give you is corresponding angles are usually the same degree but on a different level. like on the first parallel line there is an angle and on the second (or whatever) there is another angle (on the same side of the first) -meaning they will both be on the right or the left- and yeah there you go
if you have any questions comment and I'll try my best to help
What is the value, to the nearest tenth, of 15 x 3 - 12 x 2 when x = 2.5
Answer:
159.4
Step-by-step explanation:
I'm assuming that it's supposed to be 15x^3-12x^2 because when you copy and paste the "^" gets cut out
15*2.5^3 - 12*2.5^2 = 234.375 - 75 = 159.375
rounded is 159.4
Find the perimeter of the window to the nearest hundredth.
perimeter: about
ft
can someone please help me answer these?
Answer: w+x=90
z=y+90
Step-by-step explanation: because the sum of the inner angles of triangle is 180. given that one angle is 90 degrees the sun of x and w has to be 180-90=90
for the second part, you have to use the triangle exterior angle theorem: an exterior angle of a triangle is equal to the sum of the opposite interior angles. The opposite interior angles in this case is 90 degrees and y
Help fastttt someone pls and no files will block you
Which of the following points lies on the line 2x+3y=5?
at traget a 5 pack of gaterade cost 8.78 how much would 21 packs of gatorade cost
Answer:
21 packs of gatorade would cost $36.88.
Step-by-step explanation:
Mathematically:
8.78 / 5 = 1.756
1.756 * 21 = 36.876 ~= $36.88