The exponent expression ∛(56x⁷y⁵) is equivalent to the expression 2x²y∛(7xy²).
What is an exponent?Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
The expression will be given as
[tex]\sqrt[3]{56x^7y^5}[/tex]
The expression can be written as
[tex]\rightarrow \sqrt[3]{2*2*2*7 \ x^3 \ x^3 \ x \ y^3 \ y^2 }\\\\\rightarrow 2*x*x*y * \sqrt[3]{7xy^2} \\\\\rightarrow 2x^2 y \sqrt[3]{7xy^2 }[/tex]
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Find the surface area of this figure.
Answer:
736 in^2
Step-by-step explanation:
To find the surface area of a rectangular prism, the formula is perimeter(of one base)*height + area of two bases.
If you plug in the numbers according to this problem, that is (52*8) + 160(2)
SA = 736
Find the equation of the line that goes through the points (0, 4) and (10, 2).
y = -1/5 x + 4
y = -5x + 4
y = -1/5 x + 2
y = 1/5 x - 4
Answer:
1st option
Step-by-step explanation:
Check out the attached photo
Which ordered pair is the solution to the system of linear equations y=-7x+2 and y = 9x-14?
(-5.1)
(1.-5)
(5.-1)
(-1,5)
Can you factor -8x²=2x-3
Hi Please help!
Identify the RATE OF CHANGE and INITIAL VALUE from ONE of the equations listed.
A. y = 3x + 6
B. y = -7x + 5
C. y = 9x + 4
Answer:
C
Step-by-step explanation:
pls tell me if im right or wrong
What is the distance between (-2, - 4) and (-2, – 8) ?
O 2 units
O 4 units
0 12 units
O I don't know.
4 units
hope it helps...!!!
Answer:4 units
8-4=4 wham bam yes ma'am
Step-by-step explanation:
Math question correctly answer with good explanation. Please and thank you
Answer:
Step-by-step explanation:
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Explanation:
The figure is an unfolded version of a pyramid, so it's placed as flat as possible.
The square in the middle has area of 7*7 = 49 square meters. This is the base or floor of the pyramid.
Each triangle has area of base*height/2 = 7*5/2 = 35/2 = 17.5 square meters. Four such identical triangles combine to an area of 4*17.5 = 70 square meters. This is the lateral surface area, which is everything but the base.
So the total surface area is
BaseArea + LateralSurfaceArea = 49+70 = 119 square meters
Helppp
For triangle ABC below, find missing side length BC and both missing angle measures
Answer:
3
Step-by-step explanation:
use the pythagoreum therory
What is the first step when rewriting y = –4x2 + 2x – 7 in the form y = a(x – h)2 + k?
2 must be factored from 2x – 7
–4 must be factored from –4x2 + 2x
x must be factored from –4x2 + 2x
–4 must be factored from –4x2 – 7
Answer:
–4 must be factored from –4x2 + 2x
Find the area of the figure.
12 mm
6 mm
5 mm
CAN SOMEONE PLS HELPP
Help me please I do not understand this assignment
Answer:
Step-by-step explanation:
Equation: y = 20x
y = # of gallons
x = minutes
6.
So, you substitute (0, 1, 2, 3 and 4 minutes) for x, to find the number of gallons:
x = 0 mins:
y = 20x
y = 20(0)
y = 0 gallons
(0, 0)
x = 1 min.
y = 20x
y = 20(1)
y = 20 gallons
(1, 20)
x = 2 mins.
y = 20x
y = 20(2)
y = 40 gallons
(2, 40)
x = 3 mins.
y = 20x
y = 20(3)
y = 60 gallons
(3, 60)
x = 4 mins.
y = 20x
y = 20(4)
y = 80 gallons
(4, 80)
7. View the attached graph
8. Predict the amount of water in the tank after 6 mins.
We use the same equation, y = 20x for this question
y = 20x
y = 20(6)
y = 120 gallons
(6, 120)
8. Linear ==> straight line
Non-linear ==> anything other than a straight line (curved line)
As you can see from my attached graph, the relationship between x and y and linear, because the graph has a straight line.
Hope this helps!
Help me find the answer to this area of a kite problem
Answer:
Below in bold.
Step-by-step explanation:
Area of a kite = 1/2 * D1 * D2 were D1 and D2 are the 2 diagonals
D1 = 5 + 2.5 = 7.5 and D2 = 2*44444.5 = 9
So area = 1/2 * 7.5 * 9
= 33.75.
Answer:
33.75 Ft
Step-by-step explanation:
(5*4.5)/2+(5*4.5)/2+(4.5*2.5)/2+(4.5*2.5)/2
What is the answer to -50 +x<-35
Answer:
x < 15
Step-by-step explanation:
1) Regroup terms.
⇒ x - 50 < - 35
2) Add 50 to both sides.
x < - 35 + 50
3) Simplify - 35 + 50 to 15.
x < 15
Answer:
x < 15
Step-by-step explanation:
-50 + x < -35
+50 +50
________________
x < 15
Hope this helps :)
CW part
An airplane flies 2,070 miles in 4.5 hours. What is the speed of the airplane in miles per hour? Use the equation d=rt, where dis distance, ris rate, and t is time.
The airplane's speed is miles per hour.
Answer:
sorry but I actually don't know about it sorty
Answer:
460 miles/hour
Step-by-step explanation:
Distance = Speed x Time
We want the Speed, so let's rearrange the equation:
Speed = Distance/Time
We are given Distance = 2070 miles
and Time of 4.5 hours
Speed = (2070 miles)/(4.5 hours)
Speed = 460 miles/hour
At a football game, 92% of people attending were supporting the home team, while 8% were supporting the visiting team. If 1564 people attending the game supported the home team, what was the total number of people attending the game?
The total number of people attending the game is 1700.
What is Percentage?Percentage in simple terms can be defined as a part per 100.
Percentage is a ratio or number which has to be defined as a fraction of 100.It is denoted by %.
If we are asked to calculate the percent of a number simply divide it by the whole part or number and then multiply with 100.
Percent of people supporting the home team = 92%
Number of people supporting the home team = 1564
Let x be the total number of people attending the game.
⇒ [tex]\frac{1564}{x}[/tex] × 100 = 92
⇒ [tex]\frac{1564}{x}[/tex] = 0.92
⇒ x = [tex]\frac{1564}{0.92}[/tex]
⇒ x = 1700
Hence, the total number of people attending the game will be 1700.
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NEED HELP ASAP!!! 100 POINTS!!!!!!! look at pic
Answer:
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 3
Step-by-step explanation:
the coordinates of the points are
(1, - 6 ), (2, - 3 ), (3, 0 ), (4, 3 ), (5, 6 )
consider the values of y
- 6, - 3, 0, 3, 6
there is a common difference between consecutive terms, that is
- 3 - (- 6) = 0 - (- 3) = 3 - 0 = 6 - 3 = 3
this indicates the sequence is arithmetic with recursive rule
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + d ( d is the common difference )
here d = 3 , then recursive formula is
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 3 ; with a₁ = - 6
Find the slope of a parallel line and the slope of a perpendicular line.
y=12x-1
Step-by-step explanation:
12x - y = 1
slope of m1 = - coefficient of x / coefficient of y
= - 12 / -1
= 12
# when it is parallel;
m1 = m2
12 = m2
# when it is perpendicular;
m1 * m2 = -1
12 * m2 = -1
m2 = -1 / 12
Select all the decimals that round to 40 when they are rounded to the tens place.
a) 42.59
b) 37.155
c) 45.78
d) 45.167
e) 34.989
Answer:
A. 42.59
B. 37.155
Step-by-step explanation:
I used a round calculator by the way
How many scores does the line plot represent
Un diagrama de sectores se puede utilizar para todo tipo de variables, pero se usa frecuentemente para las variables cualitativas.
Los datos se representan en un círculo, de modo que el ángulo de cada sector es proporcional a la frecuencia absoluta correspondiente.
El diagrama circular se construye con la ayuda de un transportador de ángulos.
Ejemplo
En una clase de 30 alumnos, 12 juegan a baloncesto, 3 practican la natación, 4 juegan al fútbol y el resto no practica ningún deporte.
Please answer #3, I’ll give brainliest to the best answer
Answer:
23/42 or 0.547619048
Steps are given below in the picture
I hope my answer helps you.
Please help meeeeeeeeeee
6x^3 - 15x^2 - 3x / 3x
simplify the polynomial
Answer:
6x³ - 15x² - 1
3x divided by 3x is 1
So, here we are to simplify the polynomial :
[tex] \\ \longrightarrow \sf \qquad6x^3 - 15x^2 - \frac{3x}{ 3x}\\ \\[/tex]
We can simplify it as,
[tex]\\ \longrightarrow \sf \qquad6x^3 - 15x^2 - 1 \\ \\[/tex]
Some points to know :
Factorisation is the reverse process of multiplucation.The Factorisation is the process of finding two or more expressions such that their product is the given expressionThe 8 students in the Environmental Club represent 5% of the students in the seventh grade. How many students are in the seventh grade? Multiply/scale up to solve.
There are 160 students in seventh grade. Divide the partial amount by the percentage of the partial amount to get the total amount.
How to find total Number ?A percentage is a number or ratio that is expressed as a fraction of one hundred. The percent sign, "%," is commonly used, but the abbreviations "pct.", "pct," and sometimes "pc" are also used. A percentage is a number with no dimensions; it has no unit of measurement.
A total is the result of adding several numbers together or counting how many items there are in a group. The total number or cost of something is the total number or cost obtained by adding or counting all of its parts.
Percentages can also be expressed as decimals or fractions, such as 0.6%, 0.25%, and so on. Academic marks are calculated in terms of percentages for any subject.
To Find the Total Amount :
In decimal form, identify the partial amount and the percentage of the partial amount.Percentage of partial amount in decimal form: 0.80 since 0.80 is the decimal form of 80%.Calculate the total amount by dividing the partial amount by the percentage of the partial amount.No. of student in seventh grade = 8/5 * 100 = 160
So, there are 160 students in seventh grade.
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3. Use the GCF and the Distributive Property to factor, 60a + 45.
a. 3(20a +15)
b. 5(12a +9)
с. 20(За + 2)
d. 15(4a + 3)
Answer:
D. 15(4a + 3)
Step-by-step explanation:
15 is the least possible factorisation for both sides, therefore D is the most efficient on of all of them
Using the GCF and Distributive property, the expression can be factorized as, d. 15 (4a + 3).
What is GCF?GCF is the abbreviated form for Greatest Common Factor.
As the name suggests, GCF of two or more numbers or expressions is the greatest of all the common factors of them.
The given expression is 60a + 45.
Distributive property for 3 numbers, a, b and c states that,
a (b + c) = ab + ac
There are two terms here 60a and 45.
We can find the GCF using Prime factorization.
60 = 2 × 30
= 2 × 2 × 15
= 2 × 2 × 3 × 5
45 = 3 × 15
= 3 × 3 × 5
Common factors are 3 and 5.
GCF = 3 × 5 = 15
60a + 45 = (15 × 4a) + (15 × 3)
= 15 (4a + 3) [Using the distributive property]
Hence the factorized form is 15 (4a + 3)
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7. Instructions: Find the missing side of the triangle.
Answer:
50²-30²=x²
2500-900=1600
√1600= 40
x=40
The sum of the squares of the odd integers between 0 and 100.
Using summation notation
Answer:
166,649.
Step-by-step explanation:
49
∑ (2n + 1)^2 = 4∑n^2 + 4∑n + 49
0
= (4/6)n(n +1)(2n + 1) + 4/2 n(n + 1) + 49
= 2/3 * 49* 50 *99 + 2*49*50 + 49
= 161700 + 4900 + 49
= 166649
A Magic 8 Ball has the diameter of 5" how much space is occupied by the water round to the nearest 10th(PLEASE ANSWER PLEASE)
Answer:2.4 isn’t occupied, whilst 13.3 is full
Step-by-step explanation: answerrr
Which statements describe how the cardiovascular system and the respiratory system work together?
Select all that apply.
The cardiovascular system provides gases to the respiratory system to help it function.
The respiratory system provides oxygen used in the cardiovascular system.
The respiratory system provides nutrients and energy to the cardiovascular system.
The cardiovascular system provides the respiratory system with what it needs to function.
The respiratory system and the cardiovascular system are intertwined in the sense that the respiratory system provides oxygen used in the cardiovascular system.
What is the respiratory system?The respiratory system is the syetem that coordinates gaseous exchange in the body while the cardiovascular system is the system that deals with the circulation of gases in the body.
The cardiovascular system and the respiratory system work together in the following ways;
The respiratory system provides oxygen used in the cardiovascular system.Learn more about the respiratory system: https://brainly.com/question/9904853
Can the numbers 24, 32, and 40 be the lengths of the three sides of a right triangle?
Answer:
no
Step-by-step explanation:
no
Yes
since the hypotenuese will be forty
24×24=576
32×32=1024
1024+576=1600
√40=1600 which makes YES be the correct answer
A bag contains 10 red, 10 blue, 10 green, and 10 yellow M&Ms. An M&M is randomly pulled from the bag and replaced seven times. The table shows the outcomes of the experiment
Tul
2
3
4
5
6
1
Which color's observed frequency is closest to its expected frequency?
red
O blue
O green
yellow
Answer: wheres the table
Step-by-step explanation:
See pictures attached below. Will give Brainliest!
Question 1 Answer:
Aunt 1 and Grandma 1 would fill gift bags.
Mom and Aunt 2 would make centerpieces.
You and Grandma 2 would blow up balloons.
Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.
Question 2 Answer:
We use algebra and our previous pairings to determine the length of each task.
Gifts Bags --> 6/7 hours
x = time together
[tex]\frac{1}{x}[/tex] = rate of completion
Aunt 1 = [tex]\frac{1}{1.5}[/tex] Grandma 1 = [tex]\frac{1}{2}[/tex]
[tex]\frac{2}{3} +\frac{1}{2} = \frac{1}{x}[/tex]
[tex]\frac{7}{6} = \frac{1}{x}[/tex]
[tex]x = \frac{6}{7}[/tex]
Centerpieces --> 7/4 hours
x = time together [tex]\frac{1}{x}[/tex] = rate of completion
Mom = [tex]\frac{1}{3.5}[/tex] Aunt 2 = [tex]\frac{1}{3.5}[/tex]
[tex]\frac{2}{7} + \frac{2}{7} = \frac{1}{x}[/tex]
[tex]\frac{4}{7} = \frac{1}{x}[/tex]
[tex]x = \frac{7}{4}[/tex]
Balloons --> 15/16 hours
x = time together [tex]\frac{1}{x}[/tex] = rate of completion
You = [tex]\frac{1}{1.5}[/tex] Grandma 2 = [tex]\frac{1}{2.5}[/tex]
[tex]\frac{2}{3} + \frac{2}{5} = \frac{1}{x}[/tex]
[tex]\frac{16}{15} = \frac{1}{x}[/tex]
[tex]x = \frac{15}{16}[/tex]
Shortest amount of time to complete all tasks is:
[tex]\frac{6}{7} + \frac{7}{4} + \frac{15}{16} = \frac{397}{112}[/tex] ≈ 3.54 hours
Converting hours to hours and minutes --> 3 hours 32 minutes
Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.