Answer:
18
Step-by-step explanation:
2
2
+
3
9
=
−
1
8
2x^{2}+39=-18
2x2+39=−18
2
2
+
3
9
−
(
−
1
8
)
=
0
A tunnel is cylindrical. The tunnel is 400 m long with radius 2.3 m.
What is the capacity of the tunnel? Give the answer is liters. [Hint: 1 m3 = 1000 L]
Answer:
6647.6 liters
Step-by-step explanation:
The volume of a cylinder with end area r and length (or height) h is
V = πr²h
If we substitute 2.3 m for r and 400 m for h, we get:
V = π(2.3 m)²(400 m) = 6647.6 m³ or 6647.6 liters
Find the probability that a point choseb at randon the figure will lie in the shaded region. Write your anser as a percentage rounding to the nearest hundreth in percentage form
=======================================================
Explanation:
Let's find the area of one of the circles
A = pi*r^2
A = pi*10^2
A = 100pi
One circle is exactly 100pi square meters in area.
Four of the circles then combine to a total area of 4*100pi = 400pi square meters.
The distance along the bottom of the square is equal to two diameters, each diameter being 2r = 2*10 = 20 meters. So the distance along the bottom of the square is 2*20 = 40 meters. The square has an area of 40^2 = 1600 square meters.
The shaded region would therefore have an exact area of 1600-400pi square meters.
This approximates to 1600-400pi = 343.362938564082
Divide this over the area of the square to get the probability we want to find:
343.362938564082/1600 = 0.21460183660256
That's roughly 0.2146, which converts to 21.46%
Answer:
21.5%
Step-by-step explanation:
Find the area of the square, which is 40² or 1600 sq m
Find the area of one circle, multiply it by 4, then subtract that from 1600
A = 100(3.14) = 314
314 x 4 = 1256
1600 - 1256 = 344
Probability of landing in the shaded region is 344/1600 = 21.5%
Jan has a kids pool that holds 20 gallons of water. It drains as a constant rate. When Jan first saw the kids pool, it contained 14 gallons. Six minutes later, the pool contained 10 gallons of water. At what rate is the amount of water in the pool changing? Use a signed number, and include the unit of measurement in your answer.
Answer:
-2/3 gal per minute
Step-by-step explanation:
The pool drained 4 gallons in 6 minutes.
How many gallons per minute?
minutes: 6 min/6 = 1
gallons: 4 gal/6 = 2/3
-2/3 gal per minute (negative because the pool is draining)
The data set below has 7 values. Find the mean absolute deviation for the data set. If necessary, round your answer to the nearest hundredth. 13,14,15,6,17,16,3
Given:
The data set is 13, 14, 15, 6, 17, 16, 3.
To find:
The mean absolute deviation for the data set.
Solution:
We have,
13, 14, 15, 6, 17, 16, 3
Mean of the data set is:
[tex]\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}[/tex]
[tex]\overline{x}=\dfrac{13+14+15+6+17+16+3}{7}[/tex]
[tex]\overline{x}=\dfrac{84}{7}[/tex]
[tex]\overline{x}=12[/tex]
The formula for mean absolute deviation is:
[tex]MAD=\dfrac{\sum_{i=1}^n|x_i-\overline{x}|}{n}[/tex]
Using this formula, the mean absolute deviation for the data set is:
[tex]MAD=\dfrac{|13-12|+|14-12|+|15-12|+|6-12|+|17-12|+|16-12|+|3-12|}{7}[/tex]
[tex]MAD=\dfrac{1+2+3+6+5+4+9}{7}[/tex]
[tex]MAD=\dfrac{30}{7}[/tex]
[tex]MAD\approx 4.29[/tex]
Therefore, the mean absolute deviation for the data set is about 4.29.
help me plsss its due tonight!!!
PLEASE HELP ASAP!!!
Https://brainly.com/question/23389243answeringSource=feedPublic%2FhomePage%2F21
Answer:
your link doesn't work it just says 404
Step-by-step explanation:
Classify each variable as qualitative or quantitative.
1. Marital status of nurses in a hospital.
2. Time it takes to run a marathon.
3. Weights of lobsters in a tank in a restaurant.
4. Colors of automobiles in a shopping center parking lot.
5. Ounces of ice cream in a large milkshake.
6. Capacity of the NFL football stadiums.
7. Ages of people living in a personal care home.
Quantitative variable are - 2,3,5,7 and Qualitative are 1, 4 ,6
1. Marital status of nurses in a hospital-qualitative
2. Time it takes to run a marathon-quantitative
3. Weights of lobsters in a tank in a restaurant- quantitative
4. Colors of automobiles in a shopping center parking lot- qualitative
5. Ounces of ice cream in a large milkshake- quantitative
6. Capacity of the NFL football stadiums -qualitative
7. Ages of people living in a personal care home- quantitative
Qualitative variables are categorized or labelled to belong to a certain category or group.
There are two types of qualitative variables, Categorical and ordinal.
Categorical variable are those variables that are labelled in non-numeric or numeric form, where the numbers have no value. The order also does not matters. For example, the number on the jerseys of football players. It is not necessary that the player number 1 is actually the best player.
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0.7 times square root of 300
The value of the expression 0.7 x √300 is 12.124.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
0.7 x √300
This can be written as,
= 0.7 x √3 x √100
= 0.7 x 1.732 x 10
= 12.124
Thus,
The value is 12.124.
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enter an internet value that could be used in each of the blanks below to make the polynomial factorable
What are the domain and range of the function?
f(x) = ³√x + 2
The domain of the function f(x) = ∛x + 2 is all real numbers such that x ≥ 0. This is because the cube root function is defined only for non-negative numbers.
What do a function example's range and domain mean?
A straightforward function, such as f(x) = x2, can have a domain (what goes in) of just the counting numbers 1, 2, 3, etc., and a range (what comes out) of the set 1, 4, 9, etc. Another function, g(x) = x2, may have an integer domain of..., -3, -2, -1, 0... 1, 2, 3, and its range is..., 1, 4, 9,...
For the range, the function f(x) = ∛x + 2 is a monotonically increasing function over the domain, which means that it increases as the input x increases. Therefore the range of f(x) = ∛x + 2 is all real numbers greater than or equal to 2
So the domain is x>=0 and the range is y>=2
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Solve for X please and thank you :)
x<-3
Hope this helped! :T
The area of a circle is 100 pie. What is the radius?
A 25
B) 10
C 50
D) 5
Answer:
50 (hope this helps, have a good day)
Step-by-step explanation:
just divide The area divided by 2
Swaggerty
1. Rose and Andrew are financing $128,000 to purchase a condominium. They obtained a 15-year, fixed-rate loan with a rate of 5. 5%. They have been given the option of purchasing up to four
points to lower their rate to 4. 81%. How much will the four points cost them?
For the given principal and two different rate of interest for the 15 years of time period the cost of four points is given by $26786.2.
As given in the question,
Principal amount 'P' = $128,000
Time 't' = 15 years
Rate of interest 'r' = 5.5%
= 0.055
Total amount 'A' received is given by the formula :
A = P ( 1 + r/100 )^n
= 128,000 ( 1 + 5.5 / 100 )^15
= $285756.99
Now when the rate of interest is changed to
Rate of interest 'r' = 4.81%
= 0.0481
Total amount 'A' received is given by the formula :
A = P ( 1 + r/100 )^n
= 128,000 ( 1 + 4.81 / 100 )^15
= $258970.79
Now, the cost of four points is given by:
= $( 285756.99 - 258970.79 )
= $ 26786.2
Therefore, for the given principal amount with two different rate of interest for the time period of 15 years the cost of four points is equal to $26786.2.
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The ages of four children are 14, 12, 15, and 17
Work out the range of the ages of the four
children.
Step-by-step explanation: 12 - 14 is 2 years
14 - 15 is 1 year
15 - 17 is 3 years
I would say the rang is 1 -3 years apart
Hope this helps any
Please help
Solve the rational equation: 1/x+1 - 1/x+2 = 1/5
A. There is no solution.
B. x = −0.64, x = 1.44
C. x = −3.79, x = 0.79
D. x = −1, x = −2
The solution for the rational equation (1/(x + 1)) - (1/(x + 2)) = 1/5 is specified by the option C.
C. x = -3.79, x = 0.79
What is a rational equation?A rational equation consists of a fraction that has a polynomial numerator denominator.
The specified equation can be expressed as follows;
[tex]\dfrac{1}{x + 1} - \dfrac{1}{x+2} = \dfrac{1}{5}[/tex]
Finding the common denominator for the right hand side expression, we get;
[tex]\dfrac{ (x + 2) - (x + 1)}{(x + 1) \times (x + 2)} = \dfrac{1}{5}[/tex]
[tex]\dfrac{1}{(x + 1) \times (x + 2)} = \dfrac{1}{5}[/tex]
[tex]\dfrac{1}{x^2+ 3\cdot x+ 2} = \dfrac{1}{5}[/tex]
Inverting both sides of the above equation, we get the following quadratic equation;
x² + 3·x + 2 = 5
x² + 3·x + 2 - 5 = 0
x² + 3·x - 3 = 0
The quadratic formula indicates that we get;
x = (-3 ± √(3² - 4×1×(-3))) ÷ (2 × 1)
x = (-3 + √(21)) ÷ 2 and x = (-3 - √(21)) ÷ 2
x ≈ 0.79 and x ≈ -3.79
The correct option is option C
C. x = -3.79, x = 0.79
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Problema de capacidades Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. ¿Cuántas botellas de cada clase se han utilizado?
Answer:
Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
En este caso, las variables a calcular son:
x= cantidad de botellas de 2 litros.y= cantidad de botellas de 5 litros.Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. Entonces es posible plantear el siguiente sistema de ecuaciones:
[tex]\left \{ {{2*x+5*y=3000} \atop {x+y=1200}} \right.[/tex]
Existen varios métodos para resolver un sistema de ecuaciones. Resolviendo por el método de sustitución, que consiste en despejar o aislar una de las incógnitas y sustituir su expresión en la otra ecuación, despejas x de la segunda ecuación:
x= 1200 - y
Sustituyendo la expresión en la primer ecuación:
2*(1200 - y) + 5*y=3000
Resolviendo se obtiene:
2*1200 - 2*y + 5*y= 3000
2400 +3*y= 3000
3*y= 3000 - 2400
3*y= 600
y= 600÷3
y= 200
Reemplazando en la expresión x= 1200 - y:
x= 1200 - y
x=1200 -200
x= 1000
Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.
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The diagonals of a rectangle are perpendicular.
True
False
trust me the answer is false :)
Answer:
No they are not, false
Step-by-step explanation:
We know that if the diagonals are perpendicular then they cut at 90 degrees but in rectangles, the diagonals dont cut at 90 degrees. Hence the statement is false.
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PLease help I have to finish by 4:00
Answer:
You mean 4/5?
Step-by-step explanation:
What is (f + g)(x)?
f(x) = -3x² + 3
g(x) = −3x
Answer:
Step-by-step explanation:
(f.g)(x)=[tex]-3*(-3x)^{2}+3=-27x^{2}+3[/tex]
On a very cold morning, it was -8°F. As the day went on, the temperature ros
degrees each hour. Which equation shows the temperature over time?
What number multiple by 7/9 has the product of 1?
Answer: In mathematics, the reciprocal of a number is 1 divided by that number. So the reciprocal of 7/9 is 1/(7/9) which can be simplified to 9/7.
Therefore, 9/7 is the number that when multiplied by 7/9 will result in the product of 1.
Another way of arriving at the same solution is to remember that the product of a number and its reciprocal is always 1. In this case, the number is 7/9, and its reciprocal is 9/7.
Step-by-step explanation:
Plz solve number 20 for me…. I NEED ASAP HELP plz… WOULD BE GREAT
what is the next term in this sequence of cube numbers?
1,8,27,64...
Answer: 125
Step-by-step explanation:
The first term is 1³. The second term is 2³. The third term is 3³. And the Fourth term is 4³.
So the pattern is n term = n³
plug in 5
= 5³
= 125
Please help me in these
Answer:
11) 20%
12)40
13)19
14)216
15)25%
16) 50
17) 986
18)220%
19)40
20)100%
Step-by-step explanation:
with percentages it is part divided by the whole times 100 so an example would be 73 divided by 365 times 100
Answer:
11) 20%
12) 40
13) 19
14) 216
15) 25%
16) 50
17) 986
18) 220%
19) 40
20) 100%
Here's a fat rat in a hat
HELLPPP PLSSS
100÷10+3-100+ (6+ 19)+ 3 × -5 -19+100
Answer:
4
Step-by-step explanation:
I used a Calculater
A local health club offers two membership plans. Under Plan A, you pa
flat rate of $201 a month and you get unlimited visits. Under Plan B, yo
pay only $33 per month, but must pay $8 for each visit to the club. At
what number of visits will both plans be the same?
The plans cost the same if you visit
times.
Therefore , the solution of the given problem of linear equation comes out to be the plan will be equal at 21 visits.
A linear equation is precisely what?The algebraic equation y=mx+b stands in for a linear equation. The slope is m, and B is the y-intercept. The last phrase referred to a "simple formula with two elements" where both y and x are variables. Bivariate linear equations are calculations involving two variables. Here are a few examples: The outcomes are 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3. If the answer to a mathematical equation is in the form y=mx+b, where m denotes the slope and b the y-intercept, the equation is said to be linear.
Here,
Given :
Case 1: flat rate of $201 a month and you get unlimited visits.
and
Case 2:pay only $33 per month, but must pay $8 for each visit to the club.
Thus,
To find at what number of visits both plan be equal is
Let x be the number of visit,
We get,
Case 1: 201
Case 2: 33 + 8x
For equlaity:
=>33+ 8x =201
=>8x =168
=> x =168/8
=> x =21
Therefore , the solution of the given problem of linear equation comes out to be the plan will be equal at 21 visits.
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(2x+5y)(3x-7y)-2xy simplify only
Answer:
6x^2+xy-35y^2-2x
Step-by-step explanation:
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Nathan sells 10 cups of lemonade for $1.00 each. It cost him $0.25 to make
each cup. Which expression represents Nathan's profit?
Answer:
Maybe 2500 i dont know i forgot
Step-by-step explanation:
tony wants to add 97 to 298 and first add 100 to 300 what must he now subtract from this result to obtain 97+298
Step-by-step explanation:
Let A be the sum from 100 to 300
so the sum of 97 to 298 =
A - (299+300) + 97 +98
= A - 403
which choice belongs in space number 4
Answer:
2nd choice
Step-by-step explanation:
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