9514 1404 393
Answer:
1328.4 square units
Step-by-step explanation:
The total surface area is the sum of the areas of the trapezoidal bases, and the areas of each of the four rectangular faces.
The area of each trapezoidal base is ...
A = 1/2(b1 +b2)h
A = 1/2(10 +24)(9) = 153 . . . . square units
__
The total area of the four rectangular faces is ...
A = bh . . . . area of one face
A = 11.4(18) +10(18) +11.4(18) +24(18) = (11.4 +10 +11.4 +24)(18) = 1022.4
So, the total area is ...
SA = 2×base area + face area
= 2×153 +1022.4 = 1328.4 . . . . square units
(x + 3)/(3x - 2) - (x - 3)/(3x + 2) = - 22/(9x ^ 2 - 4)
Answer:
x = -1
Step-by-step explanation:
simplifica las siguientes expresiones raíz de 50+ raiz de 18
Answer:
Step-by-step explanation:
[tex]\sqrt{50}+\sqrt{18}=\sqrt{2*5^2}+\sqrt{2*3^2}=5\sqrt{2}+3\sqrt{2}=8\sqrt{2}[/tex]
Which ratio is less than 15/24? Help!!! (´༎ຶོρ༎ຶོ`)
Answer:
1/2
Step-by-step explanation:
You can try converting 1/2 to another fraction with the same denominator as 15/24. This fraction is 12/24. As you can see, 12/24 is less than 15/24.
Answer:
option A
Step-by-step explanation:
To find ratio less than the given ratio we will convert the denominator of each fraction to 24 and then compare
Given ratio is : [tex]\frac{15}{24}[/tex]
Given options
[tex]\frac{1}{2} = \frac{1 \times 12 }{2 \times12} = \frac{12}{24}[/tex]
[tex]\frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24}[/tex]
[tex]\frac{19}{24}[/tex]
[tex]\frac{6}{8} = \frac{6 \times 3}{8 \times 3} =\frac{18}{24}[/tex]
Now arrange in the ascending order , just check the numerator values.
[tex]\frac{12}{24} < \frac{15}{24} < \frac{18}{24} < \frac{19}{24} < \frac{21}{24}[/tex]
Therefore
: [tex]\frac{12}{24} = \frac{1}{2}\ is \ the\ ratio\ less\ than\ \frac{15}{24}[/tex]
If paper products accounted for 33% of the total MSW recycled in 2010 and about 7m3 of landfill space is saved for each metric ton of paper products recycled, calculate how much landfill space was saved by recycling paper products in 2010 in the United States.
Answer:
Volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space
Note: The Table in the attachment below Shows The Total MSW (in Metric Tons) And Percent MSW Recycled Over Time In The United States.
Step-by-step explanation:
Step 1: Determining the amount in metric tons of paper products recycled
In the year 2010, a total of 76 million metric tons of MSW was recycled.
Recycling of paper products accounted for 33% of the total MSW recycled in 2010.
The amount of paper products recycled in millions of metric ton = 0.33 × 76 million = 25.08 million metric tons of paper products.
Step 2: Determining the volume of landfill space saved in 2010 by recycling paper products
7m³ of landfill space is saved for each metric ton of paper products.
Volume of landfill space saved by recycling paper products in 2010 in the United States = total amount of paper products recycled × 7 m³/metric ton
Volume of landfill space saved = 25.08 million metric tons × 7 m³/metric ton
Volume of landfill space saved = 175.56 million m³ of land space
Therefore, volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space
Using proportions, it is found that about 21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, 33% of the total amount is equivalent to 7 cubic metres, hence:
0.33t = 7
t = 7/0.33
t = 21
21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.
More can be learned about proportions at https://brainly.com/question/24372153
A tank contains 7070 kg of salt and 20002000 L of water. Pure water enters a tank at the rate 88 L/min. The solution is mixed and drains from the tank at the rate 44 L/min. (a) What is the amount of salt in the tank initially
I'm assuming all the numbers here mistakenly got copied twice.
Let A(t) denote the amount (in kg) of salt in the tank at time t. The solution starts with 70 kg of salt, so (a) A(0) = 70.
I also assume there is more to the question, so I'll just go ahead and build the differential equation to model this situation, and solve it.
Pure water is flowing into the tank, so no salt is being introduced. The concentration of salt at time t is A(t)/2000 kg/L, and solution is drained from the tank at a rate of 4 L/min, which means salt is being removed at a rate of
(4 L/min) (A(t)/2000 kg/L) = A(t)/500 kg/min = 0.002 A(t) kg/min
Thus the amount of salt (ignoring units now) in the tank changes according to the DE,
dA(t)/dt = -0.002 A(t)
which is easy to solve because it's linear with constant coefficients.
Without going into too much detail:
dA(t)/dt + 0.002 A(t) = 0
exp(0.002t ) dA(t)/dt + 0.002 exp(0.002t ) A(t) = 0
d/dt [exp(0.002t ) A(t)] = 0
exp(0.002t ) A(t) = C
A(t) = C exp(-0.002t )
Given A(0) = 70, solve for C :
70 = C exp(0) = C
Hence
A(t) = 70 exp(-0.002t )
What is the volume of the right cone shown below?
Answer:
D
Step-by-step explanation:
It’s correct
[tex]\frac{1}{3} *\pi *6^{2}*27[/tex]
[tex]=324\pi[/tex]
Please help me please help me if you don't know gently move your hand
i will make you brainliest with 15 points
Answer:
7cm
14cm
dπ or 2r π
14π or 2(7π)
Step-by-step explanation:
Radius = 7cm
Diameter = 7 x 2 = 14cm
Circumference = 2 x π x r = dπ
Circumference Value = 2 x π x 7 = 14π
Answer:
Radius: 7 cm
Diameter: 14 cm
Circumference Formula: c = dπ or c = 2rπ
Circumference Value: c = 14π or c = 2(7π)
Step-by-step explanation:
We are given that the radius of the circle is 7 cm. The diameter will always be twice as large as the radius so that will lead us to 14 cm as the diameter of the circle. The formula is quite simple. There are two different types of formulas for finding the circumference of a circle. If only the diameter is given, then we use the formula c = dπ, where d is for diameter and π is for pi or 3.14159. If only the radius is given, then we use the formula c = 2rπ, where r is for radius and π is for pi or 3.14159. In this case, we are going to use the formula for radius since only the radius is given. Simply plug in the value for radius then multiply the radius to π or 3.14159 and multiply the product by 2 to get the circumference of the circle. If I am wrong, please let me know. I hope this helps! :D
Solve the system using elimination.
3x + 5y = -2
-x + 2y = 8
Answer:
x= -4,y=2............
Ahmir is 20 years older than Brynn. In 5 years Ahmir will be 3 times as old as Brynn. What are their current ages?
Ahmir is 20, Brynn is 5.
Ahmir is 60, Brynn is 40.
Ahmir is 25, Brynn is 5.
Ahmir is 5, Brynn is 25.
Twice a number divided by 5 gives 4
simple equations
Answer:
x=10
Step-by-step explanation:
Let the number = x
∴ 2x/5=4
∴2x=5*4
∴2x=20
∴x=20/2
∴x=10
Hope it helps you!
Mark as brainliest if you like it
Answer:
2x / 5 = 4
x = 10
Step-by-step explanation:
Twice a number divided by 5 gives 4
2x / 5 = 4
2x / 5 = 4
Multiply both sides by 5
2x = 20
Divide both sides by 2
x = 10
A bag contains 5 blue marbles, 10 red marbles, 3 yellow marbles, and 2 green marbles. You choose one marble from the bag. P(blue) = *
Answer:
The probability would be 5/20 or if needed simplified, it's 1/4
(2) You have $20 and are able to save $15.50 a month. Your friend has $88 and is able to save $7 a month. Enter the number of months it will take for you and your friend to save the same amount of money.
Answer:
8 months is the answer.
Step-by-step explanation:
20 + (15.50 x 8) = 144
88 + (7 x 8) = 144
How I found the answer was by plugging in numbers where 8 was until they both matched.
Find the area of 18 ft in height and 9 1/4 in base
Answer:
Triangle+ 83.25
Square/ Rectangle = 166.5
Step-by-step explanation:
I need the shape specified
Jenny has several wood boards which are each 2 1/2 feet long. She uses 1 3/4 wood boards for a school project. Which shows a way to find how many feet of wood Jenny used for her project? no links pleaseeee
Answer:
Step-by-step explanation:
Select the symbol = (equal to) or (not equal to) to make the expression true.
{1, 2, 3, 4, 5) ? (whole numbers between 1 and 5 inclusive)
Answer:
not equal to
Step-by-step explanation:
the ")" stands for excluding that last element.
f(x)=3x+4 and g(x) 4x^(2)-x
Find f(-5) and g(-2)
Which point is the vertex for the graph of y= |x| + 2?
A. (0,0)
B. (0,1)
C. (0,-2)
D. (0,2)
E. (2,0)
The correct answer is vertex of the graph D. (0, 2).
To find the vertex of the graph of the function y = |x| + 2, we need to determine the point where the function reaches its minimum or maximum value.The graph of y = |x| is a V-shaped graph with the vertex at the origin (0, 0). When we add 2 to this function, the graph is shifted upward by 2 units.So, the vertex of the graph of y = |x| + 2 is at (0, 2).
Therefore, the correct answer is D. (0, 2).The function y = |x| + 2 represents a V-shaped graph, and the vertex of this graph occurs at the origin (0, 0). By adding 2 to the function, the graph is shifted upward by 2 units. Therefore, the vertex of the modified function y = |x| + 2 is found by shifting the original vertex (0, 0) vertically by 2 units. This means the new vertex is located at (0, 2). This point represents the minimum value of the function, as it is the lowest point on the graph.
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Suppose that the weights of airline passenger bags are normally distributed with a mean of 49.02 pounds and a standard deviation of 3.83 pounds. a) What is the probability that the weight of a bag will be less than the maximum allowable weight of 50 pounds
Answer:
0.601 = 60.1% probability that the weight of a bag will be less than the maximum allowable weight of 50 pounds
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 49.02 pounds and a standard deviation of 3.83 pounds.
This means that [tex]\mu = 49.02, \sigma = 3.83[/tex]
What is the probability that the weight of a bag will be less than the maximum allowable weight of 50 pounds?
This is the p-value of Z when X = 50. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{50 - 49.02}{3.83}[/tex]
[tex]Z = 0.256[/tex]
[tex]Z = 0.256[/tex] has a p-value of 0.601.
0.601 = 60.1% probability that the weight of a bag will be less than the maximum allowable weight of 50 pounds
Lean a is 6 years older than Hayden.The product of their age is 40. How old is hayden
5.7
Step-by-step explanation:
Lean- 6x
Hayden- x
x+ 6x=40 Equation
7x=40 Added the x and 6x
x= 5.7 Divided from each side
Rewrite each side with a common base and solve. Round your answer to two decimal places.
3^4x=1/27
Talisa plans a 30-foot deep pond. While digging, she hits rock 25 feet down. How can Talisa modify
the radius to maintain the original volume of the pond?
9514 1404 393
Answer:
multiply the radius by √1.2 ≈ 1.0954
Step-by-step explanation:
Let the original depth and radius be represented by 30 and r. Let the modified depth and radius be represented by 25 and r'. Assuming the pond is uniform depth, the formula for the volume of a cylinder applies. The volume of a cylinder is given by ...
V = πr²h
In this application, we want the original and modified volumes to be the same.
πr²(30) = π(r')²(25)
(r')² = r²(30/25) = r²(6/5)
r' = r√(6/5)
The radius can be multiplied by √1.2 to maintain the original volume of the pond.
Use Newton''s method to find the second and third approximation of a root of x^3 + x + 3= 0 starting with x1 = -1 as the initial approximation.
The second approximation is x2= ?
The third approximation is x3= ?
9514 1404 393
Answer:
see attachment
Step-by-step explanation:
The iterator for Newton's method gives the next approximation (x') as ...
x' = x -g(x)/g'(x) . . . . . where g'(x) is the derivative of g(x)
We have defined g(x) = x^3+x+3, the function we want the zero of. We have defined the iteration function to be f(x).
__
Additional comment
Modern graphing calculators not only make the iteration trivially simple, they also give a first approximation good to 2 or 3 decimal places in many cases.
I have a week left of school, please help me ASAPPPP
Answer:
Option 3 is correct
Step-by-step explanation:
the lengths of two sides of a triangle are 2x-5 and x+3. If the perimeter of the triangle is 4x-1, what is the length of the third side in terms of x?
Answer:
[tex]x-9[/tex]
Step-by-step explanation:
[tex]side_1=2x+5\\side_2=x+3\\side_3=\phi\\perimeter=\displaystyle\sum_{i=1}^3side_i=(2x+5)+(x+3)+\phi=4x-1\\\phi=4x-1-x-3-5-2x=x-9[/tex]
The length of the third side in terms of x is x+1.
What is the perimeter of the triangle?The perimeter of a triangle is the sum of all its three sides.
We can work out the perimeter using the following formula:
The perimeter of a triangle is = sum of all three sides.
The length of the third side in terms of x is given by;
[tex]\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c[/tex]
Substitute all the values in the formula
[tex]\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c\\\\4x-1=2x-5+x+3+Side \ c\\\\4x-1=3x-2+Side \ c\\\\Side \ c=4x-3x-1+2\\\\Side \ c=x+1[/tex]
Hence, the length of the third side in terms of x is x+1.
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In a square, 2 sides have measure of 3x+2 and 5x - 14
What is the value of x
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
In a square, two sides have equal measures:
3x +2 = 5x -14
16 = 2x . . . . . . . . add 14-3x to both sides
8 = x . . . . . . . . . divide by 2
_____
The side lengths are 3(8) +2 = 26 = 5(8) -14.
a) What is l01% of 57 and what is 10% of the answer?
b) What is 3% of 50 and then add it to 300% of 50.
Please show workings for points.
Answer:
Part A)
57.57 ; 5.757
Part B)
3% of 50 is 1.5.
300% of 50 is 150.
Together, they add to 151.5.
Step-by-step explanation:
To find something "of" something, we can multiply the two values.
A)
To find 101% of 57, we will multiply the two values. Hence:
[tex]101\%(57)=1.01(57)=57.57[/tex]
And 10% of that will be:
[tex]10\%(57.57)=0.1(57.57)=5.757[/tex]
B)
First, find 3% of 50:
[tex]3\%(50)=0.03(50)=1.5[/tex]
Next, we can find 300% of 50:
[tex]300\%(50) = 3(50)=150[/tex]
Finally, add:
[tex]\Rightarrow 1.5+150=151.5[/tex]
Which of the expressions are equivalent to the one below? Check all that
apply.
3 x (7+2)
Jen factored x² - 4x - 21 as (x - 3)(x + 7) What did she do wrong?
Answer:
She didn't put the sign's in the proper place, it should be ( x + 3 ) ( x - 7 )
Step-by-step explanation:
( x - 3 ) ( x + 7 ) = x² + 7x - 3x - 21 = x² + 4x - 21
( x + 3 ) ( x - 7 ) = x² - 7x + 3x - 21 = x² - 4x - 21
Write the equation of the line that passes through the points (-5, -7) and
(-3,3). Put your answer in fully reduced point-slope form, unless it is a
vertical or horizontal line.
Answer:
f(x)=5x+3
Step-by-step explanation:
The slop is 5 and the y intercept is 3
So if you put that in an equation it makes 5x+3
I used the slope formula to find the slope
Subtract the y values over x values
When you multiply a number by 6 and subtract 5m the product ,you get 7. find the number.
with solution
Answer:
x = 2
Step-by-step explanation:
Let the number be x
When we multiply a number by 6 and subtract it by 5, we would get 7.
On multiplication of number x with 6 it will be 6x.12
On subtraction of 5 it will be 6x - 5
6x - 5 = 7
6x = 7 + 5
6x = 12
x = 12/6
x = 2
Answer:
The number is 2
Step-by-step explanation:
Let the number be n
Multiply the number by 6 = 6n
Subtract 5 from the number , 6n - 5
And we get 7
So , the expression : 6n - 5 = 7
6n = 7 + 5
6n = 12
n = 2
