Answer:
34
Step-by-step explanation:
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
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.
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.
Which system of linear inequalities is represented by the graph
Answer:
Y = 0.5x-1 is the formula
I need help with this question
adfhjjhhhhhh ffggg3rfffhkjdgb gghh
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
(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]
(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.
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
Company ABC's rate of sales is given by 1366e0.146t million dollars per year, where t is the number of years since 2000. Assuming that this rate holds through 2005, and using an interest rate of 6% compounded continuously, find the value in 2000 of ABC's sales over the time period from 2000 through 2005. Round your answer to the nearest tenth.
what is the domain of the function y=^3sqrtX?
Answer:
A
Step-by-step explanation:
I believe this is correct.
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.
Learn more about function here:
https://brainly.com/question/11624077
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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
