Step-by-step explanation: The prime factorization of 4320 is
2•2•2•2•2•3•3•3•5
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 4320 = √ 2•2•2•2•2•3•3•3•5 =2•2•3•√ 30 =
± 12 • √ 30
√ 30 , rounded to 4 decimal digits, is 5.4772
So now we are looking at:
w = ( -40 ± 12 • 5.477 ) / -34
Two real solutions:
w =(-40+√4320)/-34=(20-6√ 30 )/17= -0.757
or:
w =(-40-√4320)/-34=(20+6√ 30 )/17= 3.110
MY HEAD HURTS!
Answer:
7
Explanation:
Malik considers the enkargement of the trapezoid
25 cm
10 cm
18 cm
x cm
What is the correct cross product that he should use to solve for the missing dimension?
(10)(25) 186
(10)(18) - 250
(18)(25) - 10
(18)(20) 18
Answer:
it should be D thx
Step-by-step explanation:
Can anyone answer these questions?
Answer:
1. y² = 169
taking a square root of both sides
y = √169
we know that 13 * 13 = 169
since when squaring a number, the signs on the numbers do not matter
(i.e - 2* 2 = 4 and (-2)*(-2) = 4)
So (-13) * (-13) = 169 as well
Hence we can say that √169 = ±13 OR √169 = +13 and -13
2. Volume of a cube-shaped crate = side*side*side
Volume = side³
(We are given that volume = 27)
27 = side³
side = ∛27
Since 3*3*3 = 27 and (-3)*(-3)*(-3) = 27
So, we can say that ∛27 = ± 3
BUT
the side of a crate cannot be negative, so the side will NOT be -3 and hence,
side = 3
3. b³ = 1000
we know that 10*10*10 = 1000 and (-10)*(-10)*(-10) = 1000
So, ∛1000 = ∛(10*10*10)= ±10
4. Area of a square(Patio) = Side²
Area = Side²
196 = Side² (Since we are given the area of the patio)
Side = √196 = √(14*14) or √(-14*-14)
Hence,
Side = + 14 or -14
but the side of a patio cannot be negative
Side = +14 ft
8-x+ 5x - 2-9x =
Please help
Answer:
-5x+6
Step-by-step explanation:
Combine like terms:
-x + 5x - 9x = -5x
8 - 2 = 6
Answer: - 5x+6 plz name me brainliest. I got it right on my test
Step-by-step explanation:
-x + 5x - 9x = -5x
8 - 2 = 6
the trans-global shipping company has been forced to lay off some workers due to a decrease in revenue. last year the company had to lay off 75 people so far this year they had to lay off 20% more employees than last year how many have been laid off this year
Answer:
Answer:
Boy
Explanation:
Answer:
Boy
Explanation:
Answer:
Boy
Explanation:
Answer:
Boy
Explanation:
Answer:
Boy
Explanation:
Answer:
Boy
Explanation:
Answer:
Boy
Explanation:
Answer:
Boy
Explanation:
Answer:
Boy
Explanation:
Answer:
Boy
Explanation:
Step-by-step explanation:
The required number of employees being laid off is 90.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
Given that,
The number of employees laid off last year was 75.
The percentage increase in laid off for present year is 20%.
The number of employees laid off can be calculated as follows,
75 + 20% of 75
= 75 + 20/100 × 75
= 75 + 15
= 90
Hence, the number of employees laid off in the present year is 90.
To know more about percentage click on,
brainly.com/question/29306119
#SPJ2
х
0
1
у
—125
-121
-93
-17
131
2
3
4
Answer:
12
Step-by-step explanation:
3/5 + -7/5
Answer fast please
Answer:
-0.8
Step-by-step explanation:
hope this helps :3
Answer:
-4/5 for fraction or -0.8 for decimal
Step-by-step explanation:
Which expression is equivalent to 4(3+5) - 3.92?
Answer:
28.08
Step-by-step explanation:
4(3+5)−3.92
Add 3 and 5 to get 8
4×8−3.92≈28.08
Multiply 4 and 8 to get 32
32−3.92≈28.08
Subtract 3.92 from 32 to get 28.08
28.08
I need help with my homework I did it but it is wrong.
Answer:
π= 3V/(4r³)Step-by-step explanation:
Solve for π
V = 4/3πr³3/4V = πr³3V/(4r³) = ππ= 3V/(4r³)Answer:
π = 3V 4r³Step-by-step explanation:
V = 4 π r³
3
solve for π
3*V = 4π r³
3V = π
4r³
therefore.
π = 3V
4r³
Order set of numbers from least to greatest
3/4, 0.72%, 69%, .63
Answer:
Step-by-step explanation:
0.72%, .63= 63%, 69%, 3/4
Mr. Frankel bought 5 tickets to a puppet show and spent $26. He bought a combination of child tickets for $2 and adult tickets for $10 each. Write a system of equations to determine the number of adult tickets, a, and the number of child tickets, c, he bought. Solve the system. *Show both the equations and solutions
Answer:
3 child tickets and 2 adult tickets
Step-by-step explanation:
5t = 26
2c + 10a = 26
c = 3 a = 2
(2 * 3) + (10 * 2) = 26
6 + 20 = 26
The equations are c + a = 5 and 2c + 10a = 26. Then the number of children and adults will be 2 and 3, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Mr. Frankel bought 5 tickets to a puppet show and spent $26. He bought a combination of child tickets for $2 and adult tickets for $10 each.
Let 'c' be the number of children and 'a' be the number of adults. Then we have
a + c = 5 ...1
2c + 10a = 26 ...2
From equations 1 and 2, then we have
2(5 - a) + 10a = 26
10 - 2a + 10a = 26
8a = 16
a = 2
Then the value of the variable 'c' is calculated as,
2 + c = 5
c = 3
The equations are c + a = 5 and 2c + 10a = 26. Then the number of children and adults will be 2 and 3, respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Paul bought 2.25 meters of wood to make 5 shelves of equal length . What is the length of each shelf ? show your work on a picece of paper
Answer:
Length of each shelf is 0.45 meters
Step-by-step explanation:
Given
[tex]Total\ Length = 2.25\ meters[/tex]
[tex]Shelves = 5[/tex]
Required
Determine the length of each shelf
This is calculated by dividing the total length by number of shelves as thus:
[tex]Length = Total\ Length/Number\ of\ Shelf[/tex]
[tex]Length = 2.25m /5[/tex]
[tex]Length = 0.45m[/tex]
Hence;
Length of each shelf is 0.45 meters
Answer:
0.45
Step-by-step explanation:
Four students took an exam the fraction of the total possible points that each received is given which students had the highest score. If students receive a whole number of points on every exam item can the exam be worth 80 points
Answer:
4% out of 100
Step-by-step explanation:
4% out of 100 students took the exam
Which table does NOT represent a function please hurry it’s urgent Thank you
A) a
B) b
C) c
D) d
Each of the 25 students in Mr. McDonald’s class sold 16 raffle tickets. If each ticket costs $15, how much money did Mr. McDonald’s students raise.
Answer:
$6,000
Step-by-step explanation:
Basically just multiply 25*16 to see how many raffle tickets the class sold in total (400). Then to find the amount of money they raised, multiply 400*15 (6,000).
6x+2 -1 -48-3-2x+2
Helpppppppp
x=12
This the answer hope this helps
If you need the steps please feel free to contact me in the comments
the sum of a rational number and a irrational number
Answer: The sum of rational and irrational number is always irrational...
Answer:
When both rational and irrational numbers are written in decimal form, rational numbers can be written as finite decimals and infinite recurring decimals, such as 4=4.0, 4/5=0.8, 1/3=0.33333... and irrational numbers can only be written as infinite non-recurring decimals, such as √ 2=1.414213562…………According to this point, people define irrational numbers as infinite non-recurring decimals. 2. All rational numbers can be written as the ratio of two integers; irrational numbers cannot.
(Rational number): A number that can be accurately expressed as the ratio of two integers. Such as 3, -98.11, 5.72727272..., 7/22 are all rational numbers. Integers and fractions are all rational numbers. Rational numbers can also be divided into positive rational numbers, 0 and negative rational numbers. Irrational numbers refer to infinite and non-recurring decimals such as: π ·The difference between irrational and rational numbers: 1. When both rational and irrational numbers are written in decimal form, rational numbers can be written as finite decimals and infinite cyclic decimals. For example, 4=4.0, 4/5=0.8, 1/3=0.33333... and irrational numbers can only be written as infinite and non-cyclic decimals. For example, √2=1.414213562…………According to this point, people define irrational numbers as infinite and non-cyclic decimals. 2, all rational numbers can be written as the ratio of two integers; irrational numbers cannot. Based on this, some people suggested that irrational numbers should be removed from the "irrational" hat, and rational numbers should be called "comparative numbers" and irrational numbers should be called "irrational numbers". Originally, irrational numbers are not unreasonable, but people don't know much about it at first. Using the main difference between rational and irrational numbers, we can prove that √2 is irrational. Proof: Assume that √2 is not an irrational number, but a rational number.Since √2 is a rational number, it must be written as the ratio of two integers: √2 = p / q Since p and q do not have a common factor to be reduced, p / q can be considered to be the reduced fraction, the simplest form of fraction. Put √2 = p / q squared on both sides Get 2 = (p ^ 2)/(q ^ 2) Is 2 (q ^ 2) = p ^ 2 Since 2q ^ 2 is an even number, p must be an even number, so set p = 2m From 2 (q ^ 2) = 4 (m ^ 2) Get q ^ 2 = 2m ^ 2 Similarly, q must be an even number, let q = 2n Since p and q are both even numbers, they must have a common factor of 2, which contradicts the previous assumption that p/q is a reduced fraction. This contradiction is caused by the assumption that √2 is a rational number. Therefore √2 is an irrational number.
.
In analyzing hits by certain bombs in a war, an area was partitioned into regions, each with an area of km2. A total of bombs hit the combined area of regions. Assume that we want to find the probability that a randomly selected region had exactly hits. In applying the Poisson probability distribution formula, P(x) , identify the values of , x, and . Also, briefly describe what each of those symbols represents.
Answer:
The answer is "[tex]\bold{ \mu =0.967, x=3, \ and \ e= 2.718}[/tex]".
Step-by-step explanation:
A distribution of poulet applies because it deals through events (bomb hits) over even a sample space (the region with [tex]0.95 \ km^2[/tex] area).
Its average hit number per area is:
[tex]\to \mu = \frac{\text{Number of hits of bomb}}{ \text{number of regions number}}[/tex]
[tex]=\frac{535}{553} \\\\= 0.967 \\\\[/tex]
[tex]\to x = 3\\\\\to e = 2.718[/tex]
Given ∠A and ∠B are vertical angles with m∠A=20x+10 and m∠B=30x−10 .
What is x?
Enter your answer in the box.
ILL GIVE BRAINLIEST THANK YOU
Answer:
since angle a and b are vertical angles
therefore we can say that,
i) <A=<B
or,20x+10=30x-10
or,10+10=30x-20x
or,20=10x
.°. x=10.
Answer:
9
Step-by-step explanation:
The standard unit for measurement for volume is
Answer:
I'm pretty sure it's cubic meters
Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows: 79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8. (a) Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why. (b) Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%. (c) Calculate point estimates of the population variance and the population standard deviation. (d) Calculate the standard error of the point estimate found in part (a). Interpret the standard error. (e) Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8
a) Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why.
The mean can be used as a point estimate for the pull of force.
Using a calculator :
The mean(m) :
Σx /n = 1966/26
= 75.62 pounds
(b) Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%.
To obtain this, we calculate the median:
Median = 0.5(n + 1)th term
Median = 0.5(27)th term = 13.5
Take the 13th and 14th term:
(75.1 + 75.3) / 2 = 75.2 pounds
(c) Calculate point estimates of the population variance and the population standard deviation.
Using calculator ; the variance (s²) = 2.73815
The standard deviation (s) = √variance
s = √2.73815 = 1.655
(d) Calculate the standard error of the point estimate found in part (a). Interpret the standard error.
Standard Error = standard deviation / √n
Standard Error = 1.655 / √26
= 0.3245
(e) Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds
Number of Proportions less than 73 pounds / number of samples
= 1 / 26
= 0.0385
Solve the following inequality -9/2x grater then or equal to -1/4
Answer:
Did you mean [tex]\frac{-2x}{9} ?\\[/tex]
Please clarify so that I can work this problem out for you :)
Step-by-step explanation:
According to Siri every 5 inches of the map represents 3 miles of trails in the park how many inches on the map represents 9 miles on the park trails
Answer:
15 inches
Step-by-step explanation:
If 3 miles represents 5 inches and you want to know what represents 9 miles Just multiply 5*3 to get 15
Choose a line that is contained in plane s look at the picture for an example it’s an easy 50 pts cmon
the answer is line h
Answer:
h <3
Step-by-step explanation:
Determine whether the following statement is true or false. The y-coordinate of the vertex of f(x) = - X + 4x + 3 is f(2). Select the correct choice below and fill in the answer box to complete your choice. A. The statement is true because the x-intercept of the parabola is B. The statement is false because the y-coordinate of the vertex is f(()). C. The statement is true because the x-coordinate of the vertex is 4 D. The statement is false because the y-coordinate of the vertex is
Answer:
Listen don't use this site
Step-by-step explanation:
They are using people to make money
What is the solution to the equation?
3 (4x - 1) + x = 5x – 4(1 – 2x) +1
Mitchell’s dog is 1/3 as old as Katie’s cat. The sum of their ages is 12 years. How old is Mitchell’s dog?
Answer:
Mitchell's dog is 3 years old
Step-by-step explanation:
9 x 1/3 = 3
9 + 3 = 12
To solve this I just thought of the multiples of three under 12 that if added to 3 are equal to 12 to find Katie's cat age. The multiples of three under 12 are 3, 6 and 9. It couldn't be 3 and 6+3=9 so it had to be 9. So if Katie's cat is 9, you just multiply 9 by 1/3 or divide it by 3 to find Mitchell's dog age.
A roofs length is 4 feet less than twice its width algebraic expression
Answer:
2x - 4
Step-by-step explanation:
So first the length is 4 feet less than twice the width meaning that to find the length you subtract twice the width ( 2x ) minus 4.
Thus it becomes 2x - 4
HOPE IT HELPED
-5(x+1)= - 3(2x-2)
x= 11
X=-3
x=3
x= -11 please help quick!!!
what is the answer? pls help
Answer:
The answer is Not a line (no constant slope)
Step-by-step explanation:
21/7
-2/-1
78/26
-105/-35
The slope is always different, therefore there is no constant slope!
Hope this helps!
Question 3 (5 points)
Which radical expression is an irrational number?
O A) 36
B) 65
O C) 121
OD) 64
inte
Answer:
121
we can factor it
121 = 11×11
121=(11)2
121=11
so options c is correct