Simplify the expression.
(the quantity x to the one-sixth power end quantity to the power of 3.)
Answer:
[tex]\sqrt{x}[/tex]
Step-by-step explanation:
If we have that worded expression, we can convert it into actual mathematical terms.
x to the one sixth power: [tex]x^{\frac{1}{6}}[/tex]
That to the power of 3:
[tex](x^{\frac{1}{6}})^3[/tex]
Using exponent rules, since we have a power to a power, the powers multiply, so:
[tex]x^{\frac{1}{6}\cdot 3}\\\\x^{\frac{3}{6}}\\\\ x^{\frac{1}{2}}[/tex]
If we have a number to a fraction power, the denominator becomes the “find the (denominator) root of x.
So:
[tex]x^{\frac{1}{2}} = \sqrt{x}[/tex]
Hope this helped!
Answer:
x 1/2 took the quiz
Jenna and Becca were both selling cookies door to door. Jenna sold 8 boxes of cookies for every 3 boxes of cookies Becca sold. Combined, they sold a total of 385 boxes of cookies. How many boxes did each girl sell
Answer: Jenna sold 280 and Becca sold 105 boxes.
Step-by-step explanation:
Let 3x be the number of cookies Becca sold.
Then, the number of cookies Jenna sold = 8x
Since Combined, they sold a total of 385 boxes of cookies.
So, [tex]3x+8x=385[/tex]
[tex]\Rightarrow\ 11x=385\\\\\Rightarrow\ x=\dfrac{385}{11}\\\\\Rightarrow\ x=35[/tex]
So, Jenna sold 8(35) = 280 boxes
and Becca sold 3(35)= 105 boxes
Hence, Jenna sold 280 and Becca sold 105 boxes.
simplify (5+1)^2-(11+3^2) divides by 4
Answer:
4
Step-by-step explanation:
(5+1)^2−(11+3^2) / 4 = 4
Answer: 31
Step-by-step explanation:
A fisherman can tow upstream at 4 mph and downstream at 6 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point
How far did the fisherman row if the entire trip took 5 hours?
The distance the fisherman rowed is mi. (Type an integer or a decimal.)
He went upstream 3 hours and downstream two. 4x3=12 6x2=12
He went 24 miles.
Answer:
Its 9.6
Step-by-step explanation: i did savas
What was the political impact of the Justinian Code?
It reformed old, existing Greek laws.
It made women and enslaved people citizens.
It made Justinian I the emperor of Rome.
It influenced the laws of other countries.
Answer:
The correct option is;
It influenced the laws of other countries
Step-by-step explanation:
The Justinian Code was the rationalization of previous existing Roman laws so as to remove contradiction and eliminate conflicting statutes including the repeal of laws not included in the code.
For close to a millennia, the Justinian Code served as the bedrock of the Byzantine Judiciary and of civil law, fostering law and order for the people of Byzantines and civil law spread to Europe and Latin America.
The Justinian Code influenced the laws of other countries.
The Justinian Code consisted of a collection of older imperial regulations and especially rescripts, which mainly applied during the early 2nd century.It was directly and continuously valid until 1946 in various states and countries that previously belonged to the Eastern Roman Empire. Not only in the East, but also in the West, the creation of Justinian has been attributed authority for centuries by legal scholars, even in areas that had previously fallen outside the Roman sphere of influence. During the Middle Ages, and in many areas afterwards, this law was regarded by legal scholars as an important source of law.Learn more in https://brainly.com/question/1892861
Find m21, mZ2, and m/3.
359
2
1 =
2 =
3 =
Answer:
1=145°
2=35°
3=145°
Step-by-step explanation:
A straight line always measures 180°
35°+a=180°
a=180°-35°
a=145°
Therefore <1=145°
a=<1=145°
b=<2
a+b=180°
145°+b=180°
b=180°-145°
b=35°
b=<2
c=<3
b+c=180°
35°+c=180°
c=180°-35°
c=145°
Hope this helps ;) ❤❤❤
Let me know if there is an error in my answer.
11) A train leaves town A at 17 45 hours on Wednesday and arrives town B after travelling for 10 hours 30 minutes.At what time and day, the train arrived at town B? *
A. 03 15 hours Thursday
B. 04 15 hours Thursday
C. 04 45 hours Thursday
D. 03 45 hours Thursday
am=n+p solve for a. it has to be a literal equation i think.. lol
Answer:
a = (n+p)/m
Step-by-step explanation:
Divide both side by m to isolate a.
a = (n+p)/m
On solving for a, we get -
a = [tex]$\frac{n +p}{m}[/tex]
We have the following expression -
am = n + p
We have to solve for ' a '.
Solve for x : πx + a = ω .On solving, we get -
πx + a = ω
πx = ω - a
x = [tex]$\frac{\omega-a}{\pi }[/tex]
According to the question, we have -
am = n + p
a = [tex]$\frac{n +p}{m}[/tex]
Hence, on solving for a, we get -
a = [tex]$\frac{n +p}{m}[/tex]
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Simplify the expression: 3(x-5)+ 2x-3
Answer:
5x - 18
Step-by-step explanation:
3(x-5)+ 2x-3
Distribute
3x -15 +2x -3
Combine like terms
5x -18
Answer:
5x - 18
Step-by-step explanation:
3(x-5) + 2x - 3
=(3*x + 3*-5) + 2x - 3
= 3x - 15 + 2x - 3
= 5x - 18
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
Step-by-step explanation:
[tex]tan60° = \frac{x}{10} = \sqrt{3} [/tex]
[tex]x = 10 \sqrt{3} [/tex]
Answer:
[tex]5[/tex][tex]\sqrt{3}[/tex]
Step-by-step explanation:
[tex]5^{2} + b^{2} = 10^{2}[/tex]
[tex]25+b^{2}=100[/tex]
[tex]100-25=b^{2}[/tex]
[tex]b^{2} = 75[/tex]
[tex]\sqrt{75} = 6.88[/tex]
[tex]6.88 = 5\sqrt{3}[/tex]
I need help on this right quick please someone help
Answer:
the answer seems to be A
Show work pls!!!!!!!!!!
Answer:
67
Step-by-step explanation:
Step 1: Write out equation
8/r + 9b
Step 2: Define variables
r = 2
b = 7
Step 3: Replace variables
8/2 + 9(7)
4 + 63
67
Vishal wants to burn at least 2,400 calories during his weekly workouts. He burns 400 calories per hour swimming and 600 calories per hour rollerblading. He decides to swim for 3 hours this week. How many hours must he rollerblade to reach his goal?
Answer:
2 hours
Step-by-step explanation:
given that the calorie burn rates are:
swimming: 400 cal / hour
rollerblading: 600 cal / hour
If he swims for 3 hours, he will burn:
400 cal / hour x 3 hours
= 1200 cal
Since his goal is 2400 calories, the number of calories that he has left to burn after swimming is:
2400 - 1200
= 1200 calories.
Number of hours of rollerblading to burn 1200 calories
= 1200 calories ÷ 600 calories per hour
= 2 hours
Answer:
B. y > = 2
The second part is
A. At least 2
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
Jika suku pertama suatu barisan geometri = 16 dan suku ketiga = 36, maka besar suku kelima adalah …..
Answer:
Suku ke 5 adalah 56
Step-by-step explanation:
Harap jawapan tersebut betul
please answer fast i dont get it
Answer:
7
Step-by-step explanation:
7
John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width.
Answer:
Step-by-step explanation:
A= LxW
Given that length is 2 cm longer than the width, it may be expressed as l = w + 2. Then, the area becomes,
(w + 2) x w = 48
w(w+2)=48
Answer:
B)w(w + 2) = 48
Step-by-step explanation:
edg2021
Given the points R (6,-2) and T (-9,- 7), find the coordinates of point S on line RT such that the ratio of RS to ST is 3 : 2 plz help
Answer:
(-3, -5)
Step-by-step explanation:
By using the distance formula, we see that the length of RT is [tex]\sqrt{(6+9)^2+(-2+7)^2}[/tex] which equals [tex]5\sqrt{10}[/tex].
The ratio of RS to ST is 3:2, so we can write the distance of RS as [tex](5\sqrt{10} / 5) * 3[/tex] which equals [tex]3\sqrt{10}[/tex]. The distance of ST is then [tex]2\sqrt{10}[/tex].
Since we know the distance of RS and ST, we can find the coordinates of point S by using the distance formula again:
[tex]\sqrt{(6-x)^2+(-2-y)^2} = 3\sqrt{10}[/tex] and [tex]\sqrt{(-9-x)^2+(-7-y)^2} = 2\sqrt{10}[/tex]
We solve for x and y, getting (-3, -5).
The required coordinate point s is (-3, -5).
Given that,
The points R (6,-2) and T (-9,- 7).
To find the coordinates of point S on line RT such that the ratio of RS to ST is 3: 2
Coordinate, is represented as the values on the x-axis and y-axis of the graph
Here,
Let the coordinates of s be (x, y)
Applying the section formula,
x = [mx₂ + nx₁]/ m+n ; y = [my₂ + ny₁]/ m+n
Since, m = 3 n = 2,
x = [3*-9 + 6*2] / 3 + 2 ; y = [-7*3 + -2*2] / 3 + 2
x = [-27 + 12] / 5 ; y = [-21 - 4]/ 5
x = [-15] / 5 ; y = -25 / 5
x = -3 ; y = -5
Thus, the required coordinate point s is (-3, -5)
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I am thinking of a number. When you add the
number to itself then multiply by 3 you get 36.
What is the number?
Hi there! :)
Answer:
[tex]\huge\boxed{6}[/tex]
Let "x" represent a number.
Adding the number to itself gives us x + x, or 2x.
Multiplying by 3 gets 36, therefore:
36 = 3 · 2x
Simplify:
36 = 6x
Divide both sides by 6:
36/6 = 6x/6
x = 6.
What is the domain of g?
Answer:
{ x | -7 ≤ x ≤ 4 }
Step-by-step explanation:
5. You are making your Halloween costume this year. You have 6 yards of fabric and the pattern says that you need to cut it in two pieces where one is two feet longer than the other. How long is the shorter piece of fabric going to be?
Answer:
The shorter side piece of fabric = x = 8 feet
The longer side piece of fabrics = (x + 2) = 10 feet
Step-by-step explanation:
Total yards of fabrics = 6 yards
you need to cut it in two pieces where one is two feet longer than the other.
First piece= x feet
Second piece= x+2 feet
Convert 6 yards to feet
6 yards = 18 feet
First piece + second piece = total piece of fabrics
x + (x+2) = 18
x + x + 2 = 18
2x + 2 = 18
2x = 18 - 2
2x = 16
Divide both sides by 2
x = 16 / 2
x = 8 feet
8 feet = 2.66667 yards
x + 2
= 8 + 2
= 10 feet
10 feet = 3.33333 yards
The shorter side piece of fabric = x = 8 feet
The longer side piece of fabrics = (x + 2) = 10 feet
Can you help me with that?
Answer:
x<3. Hope this helps!
Step-by-step explanation:
In a basketball arena, all four sides are filled with people. If each side of the arena is 20 ft. X 30 ft., and each person takes up 2.5 square feet, approximately how many people are in the arena?
Answer:
960 peopleStep-by-step explanation:
If each side of the basketball arena is 20 ft. X 30 ft, the area of each side of the basketball arena = 20ft * 30ft = 600ft².
Since all the four sides are filled with people, the total area of the 4 sides will be expressed as 4*600 = 2400ft²
If each person takes up 2.5ft², total number of people in the arena will be gotten by simply dividing the area of all the four sides by the area took up by each person.
Total number of people in the arena = area of all the four sides by the area/ area took up by each person.
Total number of people in the arena = 2400/2.5
Total number of people in the arena = 960 people.
Hence there are approximately 960 people in the arena.
A pool measures 15 feet by 17 feet. A cement walkway is added around the pool, to both the width and the length. The area of the pool and the cement walkway is now 483 square feet. What is the width of the cement walkway?
Answer:
3 feet
Step-by-step explanation:
The diagram showing the pool and the walkway has been attached to this response.
The area of the pool = 15feet x 17 feet = 255 square feet
The total area of the pool and the walkway = 483 square feet
The area of the walkway is the difference between the total area and the area of the pool. i.e
Area of walkway = total area - area of pool
Area of walkway = 483 - 255 = 228 square feet
Now, from the diagram, the walkway can be seen as four rectangles - A, B, C and D - all with a width of x.
Area of rectangle A = (17 + 2x) * x = 17x + 2x²
Area of rectangle B = (17 + 2x) * x = 17x + 2x²
Area of rectangle C = 15 * x = 15x
Area of rectangle D = 15 * x = 15x
Area of walkway = Area of rectangle A + Area of rectangle B + Area of rectangle C + Area of rectangle D
228 = [17x + 2x²] + [17x + 2x²] + [15x] + [15x]
228 = 64x + 4x²
4x² + 64x - 228 = 0
Divide through by 4
x² + 16x - 57 = 0
Now let's solve the quadratic equation:
x² - 3x + 19x - 57 = 0
x(x - 3) + 19(x - 3) = 0
x - 3 = 0 or x + 19 = 0
x = 3 or x = -19
Since width cannot be negative, the correct solution is x = 3
Therefore, the width of the walkway is 3 feet
Which of the following are acceptable ways to name a plane?
(Select all that apply.)
Use any three points in the plane that are not on the same line.
Use any two points.
Use a single capital cursive letter.
Use a Greek alphabet character.
Answer:
A). Use any three points in the plane that are not on the same line.
C). Use a single capital cursive letter.
Step-by-step explanation:
A Plane is defined as a flat surface that is extending infinitely in each and every direction. For Example, a horizontal or a vertical plane. It is a two-dimensional, rigid, and flat. Since it extends infinitely, the width as well as its length cannot be measured.
A plane is named in different ways like by 'using a capital letter in cursive script' or 'by naming the three non-collinear points lying on different lines.' For example, a plane can be named as plane 'P' or ABC. Thus, options A and C are the correct answers.
Owen knows he only has three pencils in his backpack , and they are all yellow. He reaches into his backpack without looking and takes out a pencil . What is the probability that the pencil was yellow
100% cause owen only has 3 yellow pencils
Answer:
Step-by-step explanation:
The
O over 3 or 1 over 3 or 3 over 3 or 3 over 1
Please help me graph and find the slope. I need an answer ASAP will mark brainliest!
Answer:
y = 0.6x
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
Step 1: Find slope m
m = (1.2 - 0)/(2 - 0)
m = 1.2/2
m = 0.6
y = 0.6x
Step 2: Find y-intercept b
(0, 0) is y-int
Equation is y = 0.6x
Step 3: Graph
Use point (-5, -3) and (0, 0) to graph
Given the following formula, with A= 27 and t=3, solve for r.
А=P(1 + Tt)
Answer:
Option C. r = (27 – P)/3P
Step-by-step explanation:
The following data were obtained from the question:
A = 27
t = 3
r =?
А = P(1 + rt)
With the above formula, we can obtain the value of r as follow
А = P(1 + rt)
27 = P(1 + 3r)
Divide both side by P
27/P = 1 + 3r
Subtract 1 from both side
27/P – 1 = 1 – 1 + 3r
27/P – 1 = 3r
(27 – P)/P = 3r
Divide both side by 3
r = (27 – P)/P ÷ 3
r = (27 – P)/P × 1/3
r = (27 – P)/3P
Which of the following best defines a ray?
a. a section of line with a defined starting point
b. a section of line
c. a side of a figure like a triangle or square
d. a section of line with defined endpoints
Answer:
A
Step-by-step explanation:
Rays start at one point and continue forever in the same direction. Based off of this, we can eliminate options B, C, and D because they are all talking about line segments, which are completely different than rays. Therefore, the answer is A.
f(x)=3x+10
g(x)=x-2
find f(g(5)
Answer:
Step-by-step explanation:
g(5) = 5 - 2 = 3
f(3) = 3(3) + 10 = 9 + 10 = 19
please help :) love you guys so much thank you for being here :) Choose the number that is greater than: 4.526 x 10 to the 6 power A. 5.79 x 10 to the 5 power B. 9.99 x 10 to the 5 power C. 4.123 x 10 to the 6 power D. 55,264,900
Answer:
D.
Step-by-step explanation:
4.526 x 10^6 = 4,526,000.
55,246,900 is greater than this.
Answer: Hi!
First, we will find value of the equation given, 4.526 * 10^6.
We will solve the exponent first.
10^6 = 10*10*10*10*10*10 = 1,000,000
Now, we will multiply 1,000,000 by 4.526.
4.526 * 1,000,000 = 4,526,000
4,526,000 is the value of 4.526 * 10^6.
We can automatically tell that d), 55,264,900 is greater than 4,526,000. Therefore, d) is your answer.
Hope this helps!