Question:
Simplify the radical expressions
[tex]1.\ \sqrt{63[/tex] [tex]2.\ \sqrt{48[/tex] [tex]3.\ \sqrt{75[/tex] [tex]4.\ \sqrt{99[/tex] [tex]5.\ \sqrt{92[/tex]
[tex]6.\ \sqrt[3]{24}[/tex] [tex]7.\ \sqrt[3]{81}[/tex] [tex]8.\ \sqrt{128}[/tex] [tex]9.\sqrt[3]{40}[/tex] [tex]10.\ \sqrt[3]{135}[/tex]
Answer:
[tex]\sqrt{63}= 3 \sqrt7[/tex]
[tex]\sqrt{48} = 4\sqrt{3}[/tex]
[tex]\sqrt{75} = 5\sqrt{3}[/tex]
[tex]\sqrt{99} = 3 \sqrt{11[/tex]
[tex]\sqrt{92} = 2\sqrt{23[/tex]
[tex]\sqrt[3]{24} = 2 \sqrt[3]{3}[/tex]
[tex]\sqrt[3]{81} =3\sqrt[3]{3}[/tex]
[tex]\sqrt{128} = 8 \sqrt{2}[/tex]
[tex]\sqrt[3]{40} = 2 \sqrt[3]{5}[/tex]
[tex]\sqrt[3]{135} =3\sqrt[3]{5}[/tex]
Step-by-step explanation:
[tex]1.\ \sqrt{63[/tex]
Express 63 as 9 * 7
[tex]\sqrt{63}= \sqrt{9 * 7[/tex]
Split:
[tex]\sqrt{63}= \sqrt{9} * \sqrt7[/tex]
[tex]\sqrt{63}= 3 * \sqrt7[/tex]
[tex]\sqrt{63}= 3 \sqrt7[/tex]
[tex]2.\ \sqrt{48[/tex]
Express 48 as 16 * 3
[tex]\sqrt{48} = \sqrt{16*3}[/tex]
Split
[tex]\sqrt{48} = \sqrt{16}*\sqrt{3}[/tex]
[tex]\sqrt{48} = 4*\sqrt{3}[/tex]
[tex]\sqrt{48} = 4\sqrt{3}[/tex]
[tex]3.\ \sqrt{75[/tex]
Express 75 as 25 * 3
[tex]\sqrt{75} = \sqrt{25*3}[/tex]
Split
[tex]\sqrt{75} = \sqrt{25}*\sqrt{3}[/tex]
[tex]\sqrt{75} = 5\sqrt{3}[/tex]
[tex]4.\ \sqrt{99[/tex]
Express 99 as 9 * 11
[tex]\sqrt{99} = \sqrt{9} * \sqrt{11}[/tex]
Split
[tex]\sqrt{99} = 3 \sqrt{11[/tex]
[tex]5.\ \sqrt{92[/tex]
Express 92 as 4 * 23
[tex]\sqrt{92} = \sqrt{4} * \sqrt{23[/tex]
[tex]\sqrt{92} = 2* \sqrt{23[/tex]
[tex]\sqrt{92} = 2\sqrt{23[/tex]
[tex]6.\ \sqrt[3]{24}[/tex]
Express 24 as 8 * 3
[tex]\sqrt[3]{24} = \sqrt[3]{8} * \sqrt[3]{3}[/tex]
Express 8 as 2^3
[tex]\sqrt[3]{24} = \sqrt[3]{2^3} * \sqrt[3]{3}[/tex]
[tex]\sqrt[3]{24} = 2 \sqrt[3]{3}[/tex]
[tex]7.\ \sqrt[3]{81}[/tex]
Express 81 as 27 * 3
[tex]\sqrt[3]{81} =\sqrt[3]{27}*\sqrt[3]{3}[/tex]
Express 27 as 3^3
[tex]\sqrt[3]{81} =\sqrt[3]{3^3}*\sqrt[3]{3}[/tex]
[tex]\sqrt[3]{81} =3\sqrt[3]{3}[/tex]
[tex]8.\ \sqrt{128}[/tex]
Express 128 as 64 * 2
[tex]\sqrt{128} = \sqrt{64} * \sqrt{2}[/tex]
[tex]\sqrt{128} = 8 \sqrt{2}[/tex]
[tex]9.\sqrt[3]{40}[/tex]
Express 40 as 8 * 5
[tex]\sqrt[3]{40} = \sqrt[3]{8} * \sqrt[3]{5}[/tex]
[tex]\sqrt[3]{40} = \sqrt[3]{2^3} * \sqrt[3]{5}[/tex]
[tex]\sqrt[3]{40} = 2 \sqrt[3]{5}[/tex]
[tex]10.\ \sqrt[3]{135}[/tex]
Express 135 as 27 * 5
[tex]\sqrt[3]{135} =\sqrt[3]{27}*\sqrt[3]{5}[/tex]
Express 27 as 3^3
[tex]\sqrt[3]{135} =\sqrt[3]{27}*\sqrt[3]{5}[/tex]
[tex]\sqrt[3]{135} =3\sqrt[3]{5}[/tex]
Need help po. Salamat
Answer:
1. y ≥ 100
2. y ≤ 300
3. y ≥ 20000
4. 2y ≥ 80
5. 2y ≤ 90
Step-by-step explanation:
Let y be the variable.
1. The discount is not less than 100.
If the discount (i.e y) is not less than 100, it means it is either 100 or greater than 100.
This can be written as:
y ≥ 100
2. The cost of the book is at most 300.
This implies that the cost of the book (i.e y) is either 300 or lesser.
This can be written as:
y ≤ 300
3. His monthly income is at least 20000. This simply means that his monthly income (i.e y) is 20000 or greater than 20000.
This can be written as:
y ≥ 20000
4. Twice the number is at least 80.
Let the number be y.
Twice the number y can be written as:
2y
But twice the number is at least 80.
This means that twice the number is 80 or greater than 80. This can be written as:
2y ≥ 80
5. Twice the measure of the acute angle is not more than 90 degree.
Let the angle be y.
Twice the angle can be written as:
2y
But twice the measure of the angle is not more than 90 degree. This implies that twice the angle is 90 or lesser than 90. This can be written as:
2y ≤ 90
What is the inscribed angle and the circumscribed angle
which method would i use to solve ax^2+c=d? justify your answer.
9514 1404 393
Answer:
x = ±√((d -c)/a)
Step-by-step explanation:
The usual "solve for ..." approach works fine in this case.
ax^2 +c = d
ax^2 = d - c . . . . . subtract c
x^2 = (d -c)/a . . . . divide by a
x = ±√((d -c)/a) . . . take the square root
_____
When there are numbers, a graphical solution could work. It depends on whether an exact or approximate solution is required.
_____
Comment on "solve for ..."
When solving an equation for a specific variable, it is worthwhile to consider the Order of Operations. Look at what has been done to the variable, then undo those operations in reverse order. Here, the variable has been squared, the product multiplied by 'a', that product added to c. So, the "undo" consists of subtracting 'c', dividing by 'a', and taking the square root.
A. Suppose an angle measure is 55 degrees. What is the measure of its complementary angle? Draw the angle and label both measures.
B. Suppose an angle measure is 110 degrees. What is the measure of its supplementary angle? Draw the angle and label both measurements.
Answer:
A: 45 degrees
B: 70 degrees
Step-by-step explanation:
A: Complimentary angles add up to 90 90-55=45
B: Supplementary angles add up to 180 180-110=70
PLEASE HELP I WILL MAKE BRAINLIEST
Answer:
m∠T = 79°
m∠V = 14°
Step-by-step explanation:
Given
m∠T = (2x + 85)°m∠V = (5x + 29)°As the sum of measures of the angles is 93°.
so
m∠T + m∠V = 93°
(2x + 85)° + (5x + 29)° = 93°
Remove parentheses
[tex]2x+85+5x+29=93[/tex]
[tex]7x+114=93[/tex]
Subtract 114 from both sides
[tex]7x+114-114=93-114[/tex]
Simplify
[tex]7x=-21[/tex]
Divide both sides by 7
[tex]\frac{7x}{7}=\frac{-21}{7}[/tex]
simplify
[tex]x=-3[/tex]
Determining m∠T
m∠T = (2x + 85)°
substitute x = -3
m∠T = (2(-3) + 85)°
= -6 + 85
= 79°
Thus, we conclude that m∠T = 79°
Determining m∠V
m∠V = (5x + 29)°
substitute x = -3
m∠T = (5(-3) + 29)°
= -15 + 29
= 14°
Thus, we conclude that m∠V = 14°
VERIFICATION:
m∠T + m∠V = 93°
substitute m∠T = 79° and m∠V = 14°
79° + 14° = 93°
93° = 93°
L.H.S = R.H.S
Janice has 400g of sugar and 2 kg of flour. She says that the ratio of sugar to flour simplifies to 200:1. Explain why she is incorrect and give the correct answer.
Answer:
she is incorrect because it is 1:5
Step-by-step explanation:
1000g in a kg
0.4kg:2kg
1:5
You go to the restaurant and order $137.00 worth of food. You decided to tip the waiter 18%. You also have to pay tax of 6.5% on the original bill. What is the final cost of the meal?
Answer: $1, 615
Step-by-step explanation:
I need help in this question
Answer:
128
Step-by-step explanation:
Answer:
128 correct me if Im wrong
Step-by-step explanation:
To write it out you would write 2 x 2 x 2 x 2 x 2 x 2 x 2= and that equals 128
174 x 206 x 532 x 174
Answer:
3318007392
Step-by-step explanation:
174 x 206 x 532 x 174 = 3318007392
sorry is if this answer wrong:)
Step-by-step explanation:
174×206×532×174=
= 3,138,007,392
☆I hope this helps☆PLEASE HELP>YOU CAN LITERALLY SAVE MY LIFE
What is the total bill you would leave for a $22 haircut and a 15% tip?
and
What is the total bill for a $54 dinner with a 5% sales tax and a 20% tip?
Answer:
Step-by-step explanation:
$25.30
and
$68.04
Answer:
25.3 and 77.5 i think
Step-by-step explanation:
What is the horizontal asymptote
Answer:
i think the green line would be the horizontal asymptote cause its like horizontal amd it goes across the graph.
Step-by-step explanation:
work out the y-4 when y=10
3. Write each number as a product of its prime factors:
a) 48
b) 441
c) 420
d) 1617
de 10
Answer:
Step-by-step explanation:
im being timed
which number line represents the solution set for the inequality?
Answer:
The solution is:
[tex]-\frac{1}{2}x\ge \:4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-8]\end{bmatrix}[/tex]
The number line graph of the solution is also attached below.
From the graph, it is clear that the 2nd number line represents the solution set for the inequality.
Step-by-step explanation:
Given the inequality
[tex]-\frac{1}{2}x\ge 4[/tex]
Let us solve the inequality
[tex]-\frac{1}{2}x\ge 4[/tex]
Multiply both sides by -1 (reverse the inequality)
[tex]\left(-\frac{1}{2}x\right)\left(-1\right)\le \:4\left(-1\right)[/tex]
Simplify
[tex]\frac{1}{2}x\le \:-4[/tex]
Multiply both sides by 2
[tex]2\cdot \frac{1}{2}x\le \:2\left(-4\right)[/tex]
Simplify
[tex]x\le \:-8[/tex]
Thus, the solution is:
[tex]-\frac{1}{2}x\ge \:4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-8]\end{bmatrix}[/tex]
The number line graph of the solution is also attached below.
From the graph, it is clear that the 2nd number line represents the solution set for the inequality.
Eşit sayıda yolcu taşıyan 3 otobüste toplam 93 yolcu vardır. Otobülerden birer
tane yolcu iniyor otobüste kaç yolcu kalır?
Her otobüste esit dediğinden 93 ÷3den 31 yolcu vardır
Her otobüsten eşit sayıda yolcu indiğinde 31-1 den 30 yolcu kalır
Her otobüste 30 yolcu kaldığından ve 3 otobus olduğundan 30 ×3 den 90 yolcu kalir
¿Si tienes un cilindro de 12 m de diámetro y un prisma de base cuadrada de 12m de lado cual tiene mayor volumen si la altura es la misma?
It’s hard:(( pls help
Answer:
what the question i can't see that
Step-by-step explanation:
At the end of summer sale, an air conditioner that sold for $310 was discounted for 21%. What was the sale price?
Answer:
The sale price was $244.9.
Step-by-step explanation:
With the information provided, you can calculate the sale price by finding the 21% of the sale price and then, subtracting that amount from the sale price:
$310*21%=$65.1
$310-$65.1=$244.9
According to this, the answer is that the sale price was $244.9.
What is the slope of the line that passes through the points (3,8) and (8,13) write the answer in simplest form
Answer: y=5
X=5
5/5 or 1
Step-by-step explanation:
For the circle x^2 + y^2 = 100, a) State the radius at 6,8
Answer:
add multiply divide or subtract make sure to use Pemdas then and you should have your answer
Step-by-step explanation:
Answer:
r = 10
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 100 ← is a circle centred at the origin with
r² = 100 ( take the square root of both sides )
r = [tex]\sqrt{100}[/tex] = 10
ayuda por favor 5.800%(-10)
Answer: -0.58
Divide 5.8 y 100 y te da 0.058 despues lo multiplicas con (-10) y te da -0.58
whats 14/3 simplified to
Answer:
4.666667
Step-by-step explanation:
Answer:
You cant simply it.
Step-by-step explanation:
14/3 is the simplest version of 14/3. If you were looking for decimal form its 4.666667
solve the inequality 7x+5>2x+35
Answer:
x>7
Step-by-step explanation:
7x +5 > 2x +35
-2x -5 -2x
5x>35
x>7
Which of the following statements are ALWAYS true?
A rhombus is a kite.
A rhombus is a parallelogram.
A rhombus is a square.
A rhombus is a quadrilateral.
Answer:
a rhombus is a quadrilateral
Answer:
A rhombus is a quadrilateral .
Step-by-step explanation:
A rhombus is a parallelogram with four congruent sides
So b) and d)
I NEED HELP LIKE NOW!!!! PLEASE!
Rewrite y = sqrt16x+80 - 4 to make it easy to graph using a translation. Describe the graph.
Thank you!
Answer:
Wat w Polsce i w sumie to nic innego niż
Which equations have no solution?
Select all that apply.
A X + 5 = x - 5
B 0.5y = 0
CX-7 = x - 7
D 9(-1 + x) + 1 = 12x + 1
E 8+ 4. f = 4(3+f)
Step-by-step explanation:
A and E
A
because x+5 = x-5
x-x = -5 -5
0 = -10
E
8 + 4f = 4(3+f)
8 + 4f = 12 + 4f
4f - 4f = 12 - 8
0 = 4
A and E it's not true
help me plzzzzzzzzzzz this is for a grade dont know how to do it
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
V = pi r^2 h
isolate h by moving pi & r^2 to the other side.
Move with opposite operation from multiplying which is dividing, so
h = V / (pi r^2)
I NEED SERIOUS HELP I AM HAVING MATH EXAM SOON
PLEASEEEEEEEEEE HELP ME IM PREPARING WITH THE PPTS MY TEACHERS HAVE GAVE ME BUT THEY GAVE NO ANSWER AND IM NOT ABLE TO SOLVE THIS(I asked this before itself but never got an answer so with extra details I'm hoping I will get some answers) its my 4th time my first try no one answered so I put another one then I forgot to attach the photo and third time a person wasted your chances so this my 4th time BUT PLEASE HELP MEHHH
Answer:
Vertices are basically the point where 2 sides meet. In this shape the vertices are:
A, B and C
The sides are;
AB. BC, and CA
The angles are all 60°, this is because it is an equilateral triangle (all the sides seems to be equal)
A student is asked to write a report about the population growth of two countries A and B. The population of these two countries over the past five years is shown in the table below, The population of both countries is expected to continue to grow at the same rate. Which if the following statements can the students use in their report to accurately describe the population of Country A? Select two that apply. it is decreasing each year at a constant rate., It is increasing linearly., It will always be less than the population of Country B., It is increasing exponentially., It will eventually exceed the population of Country B lo
Answer: The answer is It will eventually exceed the population of Country B. The other answer is It is increasing exponentially
Step-by-step explanation:
The correct answers would be statements (C) and (D) for the given table.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
The population of these two countries for the last five years is displayed in the given table. Both countries' populations are predicted to continue growing at the same rate.
The following statements can the students use in their report to accurately describe the population of Country A, as:
It will eventually exceed the population of Country B.
It is increasing exponentially.
Hence, the correct answers would be statements (C) and (D).
Learn more about exponential function here:
brainly.com/question/11487261
#SPJ6
HELP are all three of these are either
One Unique Triangles
Multiple Triangles
No triangles
the first is no triangles, second Multiple Triangles, third Multiple Triangles
Step-by-step explanation:
