Answer:
V=27/2 units^3
Step-by-step explanation:
The volume of a rectangular prism is l*w*h
V=l*w*h
We are already given the w*h, which is 27/5 units^2.
Now all we need to do is multiply that with the length, 5/2 units. So,
V=(5/2 units) * (27/5 units^2)
V=27/2 units^3
Volume of a number cube that has side lengths of 1 1/4 inches
Find the value of x.
16
24
Hank is running sprints on a football field and likes to challenge himself, so instead of running straight down the field, he runs on the diagonal. Of the field is 50 yards wide and 100 yards long, how far does he run on the diagonal? Round your answer to the nearest yard.
Answer:
112 yards
Step-by-step explanation:
Applying Pythagoras theorem,
Pythagoras theorem states that, in a right angle triangle, the square of the hypotenuse is equal to the sum of the square of the two other sides.
Mathematically, it is expressed as
a² = b²+c²................. Equation 1
Where a = Length of the diagonal, b and c = lenght of the two other sides
From the question,
Given: b = 50 yards, c = 100 yards.
Substitute these values into equation 1
a² = 50²+100²
a² = 2500+10000
a² = 12500
a = √12500
a = 111.8
a = 112 yards
how to help learners realize that 2×+3=5 is not a correct answer
Step-by-step explanation:
2x+3=5 is not a COMPLETE answer, however it is an answer
Submitting 2x+3=5 instead of doing the work yourself will result in a fail.
Doing work for equations but refusing to the do the final step is absolutely unnaceptable.
I hope that we can improve our learning and answering style soon, as I do not want to repeat myself.
Given the equation of a circle below, determine the center and radius of the circle.
(x+5)^2+y^2=36
9514 1404 393
Answer:
center: (-5, 0)radius: 6Step-by-step explanation:
Compare the given equation to the standard form equation for a circle with center (h, k) and radius r.
(x -h)^2 +(y -k)^2 = r^2
You see that ...
-h = +5 ⇒ h = -5
-k = 0 ⇒ k = 0
r^2 = 36 ⇒ r = √36 = 6
The center is (h, k) = (-5, 0), and the radius is r = 6.
Find the distance between (3,-2) and (2,-4)
Answer:
i believe it is (2,1)
Step-by-step explanation:
Solve the equation ln(1+x)=1+ln(x)
Answer:
1/(e - 1)
Step-by-step explanation:
ln (1 + x) = 1 + ln (x)
ln (1 + x) - ln (x) = 1
ln ((1 + x)/x) = 1
(1 + x)/x = e = 1 + 1/x
x = 1/(e - 1)
Write the following phrase as an expression c less than 27
Answer:
27 -c
Step-by-step explanation:
less than means it comes after
27 -c
Answer:
27 - c
Step-by-step explanation:
If something is less by a number then it is that number minus whatever it is less by, thus 27 - c.
What is the product of the binomials below?
(5x + 2)(4x + 4)
A. 20x2 +28x+6
O B. 20x2+28x+8
O C. 9x2 +28x+6
O D. 9x2 +28x+8
Step-by-step explanation:
everything can be found in the picture
Which system of linear inequalities is represented by the graph
Answer:
Y = 0.5x-1 is the formula
I need help with this question
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The box plots show the weights, in pounds, of the dogs in two different animal shelters.
Weights of Dogs in Shelter A
2 box plots. The number line goes from 6 to 30. For the weights of dogs in shelter A, the whiskers range from 8 to 30, and the box ranges from 17 to 28. A line divides the box at 21. For shelter B, the whiskers range from 10 to 18, and the box ranges from 16 to 20. A line divides the box at 18.
Weights of Dogs in Shelter B
Which animal shelter has the dog that weighs the greatest?
shelter A
shelter B
Both shelters have a dog with the highest weight of 28 pounds.
Both shelters have a dog with the highest weight of 30 pounds.
Answer:
The median weight for shelter A is greater than that for shelter B.
The median weight for shelter B is greater than that for shelter A.
The data for shelter A are a symmetric data set.
The data for shelter B are a symmetric data set.
The interquartile range of shelter A is greater than the interquartile range of shelter B.
The animal shelter with trhe maximum value, with the greatest weight, as shown in the box plot is: Shelter A.
What is the Maximum Data Point in a Box Plot?In a box plot, the maximum data value is indicated at the end of the whisker to your far right.
Maximum value for shelter A = 30
Maximum value for shelter B = 28
Therefore, the animal shelter with trhe maximum value, with the greatest weight, as shown in the box plot is: Shelter A.
Learn more about box plot on:
https://brainly.com/question/24335827
Graph the inequality. y ≥ |x + 5| - 3
Answer:
1
Step-by-step explanation:
Problem is in picture attached. What numbers do the ice cream scoops and cones represent?
Answer:
ice cream scoops (white scoop)= 2
ice cream cones = 3
ice cream scoops (pink scoops) = 1
Step-by-step explanation:
3 x 3 x 3 = 27
3(cone) + 2(white scoop) + 3(cone) + 2(white scoop) = 10
and so on
Solve for x
10x - 72
3x - 4
Answer:
16
Step-by-step explanation:
3x - 4 = [tex]\frac{1}{2}[/tex](10x - 72)
⇔ 6x - 8 = 10x - 72
⇔ 4x = 64
⇔ x = 16
(x + 3)/(3x - 2) - (x - 3)/(3x + 2) = - 22/(9x ^ 2 - 4)
Answer:
x = -1
Step-by-step explanation:
Jasmine rides her bicycle for 8 hours and is 42 miles from her house. After riding for 11 hours, she is 57 miles away.
Answer:
This isn't a question
Step-by-step explanation:
Curtis used grapes, strawberries, and apples in a fruit salad. Use the cluster below to find the amount of each fruit used.
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 )
Calculate the price relative
Answer:
146.3
Step-by-step explanation:
The price relative is the product of 100 and ratio of the current price to the base price. It is given as:
[tex]Price\ relative=\frac{P_n}{P_o}*100\\\\Where\ P_n\ is\ the \ price\ of\ commodity\ in\ the\ current\ period\ while\ P_o\ is\\the\ price\ of\ commodity\ in\ base\ period.[/tex]
Given that the base price is the truck cost in 2008 = $27000 and the current price is the price of the truck in 2012 = $39500. Hence:
Price relative = ($39500 / $27000) * 100 = 146.3
Therefore the price relative is 146.3
The volume of a cone is 48 cm3 and the height of the cone is 10 cm. Find the radius.
Answer:
6.7cm
Step-by-step explanation:
Given data
Volume= 48cm^3
Height= 10cm
The expression for the volume of cone is
Volume= 1/3πr^h
Substitute
48= 1/3*3.142*r^2*10
48= 10/9.426*r^2
cross multiply
48*9.426= 10r^2
452.448= 10r^2
divide both sides by 10
452.448/10= r^2
45.2448= r^2
square root both sides
r= √45.2448
r= 6.7cm
Hence the radius is 6.7cm
I WILL MARK BRAINLIEST PLS HELP ASAP
Math the graph with the correct equation
A. y + 3 = -(x+5)
B. y - 3 = -(x+5)
C. y - 5 = -(x+3)
D. y - 3 = (x+5)
Answer:
B
Step-by-step explanation:
[tex]m = \frac{0 - ( - 2)}{ - 2 - 0} = - 1[/tex]
use the point (-5,3)
y-3=-(x-(-5)) = y-3= -(x+5)
Answer: B. y - 3 = -(x + 5)
Step-by-step explanation:
Find two easy points on the graph to calculate the slope:
(-2, 0)(0, -2)The slope is calculated using [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], so substitute in the values:
[tex](x_{1}, y_{1}) = (-2, 0)\\(x_{2}, y_{2}) = (0, -2)\\ \frac{y_{2}-y_{1} }{x_{2}-x_{1}} =\frac{(-2)-0}{0-(-2)} =\frac{-2}{0+2} =\frac{-2}{2} =-1[/tex]
The y-intercept is where it intersects the y-axis. It's -2.
Therefore, if you put it together, the function would be y = -x - 2
Solve each answer choices and find the one that matches the function:
B.[tex]y-3=-(x+5)\\y-3=-x-5\\y=-x-5+3\\y=-x-2[/tex]
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]
(x+3)^2+(y−4)^2=25
I need the center radius and diameter
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.
