Answer:
radius
Step-by-step explanation:
There are 6 pails in a row. The first 3 pails are filled with water. How can you make only one adjustment to make the following pattern: full, empty, full, empty, full and empty?
The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.
Given that, there are 6 pails in a row. The first 3 pails are filled with water.
The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.
Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.
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Find the range of f(-5)=-2|x-5|+8 please with explination.
Answer:
Domain: set of possible input values (x-values)
Range: set of output values (y-values)
The range for the function \(f(x)=-2|x-5|+8\) is:
\(f(x)\leq 8\)
(5, 8) is the vertex of the line
Because |x - 5| is absolute (so always positive) and it is multiplied by -2,
-2|x - 5| will always be negative unless x = 5 (when it will be zero). Therefore, the max y-value is 8.
However, your question actually asked what the function is when x = -5:
\(f(-5)=-2|x-5|+8\\\\= -2|-5-5|+8\\\\= -12\)
Step-by-step explanation:
Thats the all rhe answers step by step
The height of cylinder B is twice the height of cylinder A the total surface area of cylinder A is 180 Calculate the total surface area of cylinder B
Main Answer: The total surface area of cylinder B is approximately 476.7 square units.
Supporting Question and Answer:
How is the surface area of a cylinder calculated?
The surface area of a cylinder is the sum of the areas of its curved surface and two circular bases. It can be calculated using the formula:
A = 2πrh + 2π\(r^{2}\)
where "r" is the radius of the circular base, "h" is the height of the cylinder, and π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter, approximately equal to 3.14159.
The first term, 2πrh, represents the area of the curved surface of the cylinder, while the second term, 2π\(r^{2}\), represents the combined area of the top and bottom circular bases.
Body of the Solution: Let the height and radius of cylinder A be "h" and "r" respectively. Then, the height and radius of cylinder B are "2h" and "R" respectively, since cylinder B has twice the height of cylinder A but the same radius.
The total surface area of a cylinder is given by the formula:
Area = 2πrh + 2π\(r^{2}\)
For cylinder A, we know that the surface area is 180, so we can substitute the values and solve for "r" as follows:
180 = 2πrh + 2π\(r^{2}\)
90 = πrh + π\(r^{2}\)
We can rearrange this equation to solve for r:
r² + rh - 90/π=0
Using the quAdratic formula,we get:
r = (-h ± √((h)² + 4(90/π)))/2
r = -h/2 ± √(h² + 4(90/π))/2
Now we have an expression for r in terms of h . We can use this expression to find the radius of cylinder B, since we know that cylinder B has twice the height of cylinder A.
R = 2r= -h ± √(h² + 4(90/π))
We can use this expression to find the surface area of cylinder B:
Surface area of cylinder B = 2πR² + 2πR(2h)
Surface area of cylinder B= 2π( -h ± √(h² + 4(90/π)))² + 4πh( -h± √(h² + 4(90/π)))
We can use the value we found for 2h using the quadratic formula in the expression to get:
Surface area of cylinder B = 476.7 square units (rounded to one decimal place)
Therefore, the total surface area of cylinder B is approximately 476.7 square units.
Final Answer: Therefore, the total surface area of cylinder B is approximately 476.7 square units.
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A cash register contains $20 bills and $100 bills with a total value of $1260. If there are 23 bills total, then how many of each does the register contain?
$20 bill answer
$100 bill answer
According to the solving Each register held eight $20 bills, thirteen $100 bills.
What is a linear equation?A two-variable linear equation can be thought of as a linear relationship between x and y, or two variables where the value of one (often y) relies on the value of the other (usually x). In this scenario, y is referred to as the dependent variable because it depends on the independent variable, x.
What makes an equation linear?A line in the Euclidean plane is formed by a linear equation's solutions, and every line may be thought of as the collection of all solutions to a linear equation with two variables. This is where the term "linear" for this class of equations came from.
According to the given data:x=number of $20bills
y=number of $100 bills
20x+100y
=1460 20x+100(-x+21)
=1460 20x-100x+2100
=1460 -80x
=-640 x
=8
-8+21 =13
y=13
20x+y=21 --&g t;
y=-x+21
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m(x) = 3x - 4
n(x) = 2x - 6
Find (m-n)(x).
Please helppp
A sponsor created this box and whisker plot to show the ages of the 120 people seated in the first five rows at the concert. What was the median age of the 120 people sitting in the first five rows
The median age of the 120 people seated in the first five rows of the concert was 31.
What is value?Value is an important concept in economics and business. It is the worth of goods, services, or assets that is determined by the market or by an individual. It can be measured in terms of money, time, or effort. Value is also used to describe a person’s sense of worth or importance. Values can be seen as the principles, standards, or goals that guide an individual’s actions and decisions. Ultimately, value is subjective and is held by each person and can change over time.
The box and whisker plot provided by the sponsor shows the ages of the 120 people seated in the first five rows of the concert. The box and whisker plot shows a minimum value of 18, a maximum value of 45, a median of 31, a first quartile of 24, and a third quartile of 37. This indicates that 50% of the 120 people in the first five rows had an age of 31 or below, and 50% of the 120 people had an age of 37 or above. The median age of the 120 people seated in the first five rows of the concert was 31.
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A box contains 2 red marbles, 3 white marbles, 4 green marbles, and 1
blue marble. Two marbles, one after the other, are drawn at random
WITHOUT replacement. Find the probability of: selecting a green marble
on the second draw if the first marble is blue *
1/6
2/13
4/9
1/9
Answer:
Solution is 4/9
Explanation:
A box contains:
2 red marbles,
3 white marbles,
4 green marbles,
1 blue marble.
=> Total: 2 + 3 + 4 + 1 = 10
After selected a blue one without replacement, the remaining number: 10 - 1 = 9
=> Probability of drawing a green one: P = 4/9.
Hope this helps!
:)
Solve x²-3x+ 5 = 0.
A.
3+√-29
+VE
2
and
3-
2
-29
B. 3+√29 and 3-√29
O c. 3+√-11 and 3-√-11
2
2
D. 3+√11 and 3-√11
Using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.
What is the quadratic formula?The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem.
In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.
A second-order equation of the form ax² + bx + c = 0 denotes a quadratic equation, where a, b, and c are real number coefficients and a 0.
So, we have the equation:
x²-3x+ 5 = 0
Now, solve it using the quadratic formula as follows:
x²-3x+ 5 = 0
a = 1
b = -3
c = 5
x = -(-3)±√(-3)² -4*1*5/2
Solve this further:
x = 3±√11/2
Therefore, using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.
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Correct question:
Solve x²-3x+ 5 = 0.
A.3+√-29 +VE/2 and 3- 2-29
B. 3+√29 and 3-√29
C. 3+√-11 and 3-√-11/2
D. 3+√11/2 and 3-√11/2
If $5.00 were invested at 3% interest 600 years ago, how much would that investment be worth today?
Write an equation of the line that is parallel to y = 1/2x + 3 and passes through the point (2,-4). A) y = 1/2x-4 - 15 B) y = -2x-4 + 15 C) y = -2x-5 D) y = 1/2x - 5
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form
with slope m = \(\frac{1}{2}\)
• Parallel lines have equal slopes , then
y = \(\frac{1}{2}\) x + c ← is the partial equation
to find c substitute (2, - 4 ) into the partial equation
- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )
- 5 = c
y = \(\frac{1}{2}\) x - 5 ← equation of parallel line
Convert 3072 meters to hectometers
By applying a change of units we will see that:
3072 meters = 30.72 hectometers.
How to get the measure in hectometers?
Here we want to convert a measure in meters to hectometers, to do so, we need to use the relation:
1 hectometer = 100 meters.
So to go from meters to hectometers we just need to divide by 10.
Then the change in units is:
3072 m = (3072/100) hm = 30.72 hm
The dimension has 30.72 hectometers.
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Reflect (6,-4) across the -axis. Then reflect the result across the -axis. What are the coordinates of the final point?”
The coordinates of the final point after the reflections across the x-axis twice is (6, -4)
What are the coordinates of the final point?Reflecting a point across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate.
So reflecting (6,-4) across the x-axis gives us the point (6,4).
Reflecting this result again across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate again.
So reflecting (6,4) across the x-axis gives us the point (6,-4).
Therefore, the final point after both reflections is (6, -4).
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How many 20kobo make up #20
Answer:
100
Step-by-step explanation:
#20 naira - 20 * 100
= 2000kobo
2000/20
100
QED✅✅
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Find what percent 768 is of 3,200.
Answer:
3200 of 768 is 416.67%
Step-by-step explanation:
There's your answer hope this helps.
Billy bought seven cat toys. Each cat toy costs the same amount. He spent a total of $22.75 (a) Write an equation that represents the situation. Use cto represent the cost of each cat toy. (b) Solve for c and justify your solution by checking your answer
Answer:
A. 22.75 divided by 7 which would equal 3.25 B. the answer would be 3.25 for each cat toy
Step-by-step explanation:
Evaluate 10 - (x + 3) when 2 = 2.
Answer:
5
Step-by-step explanation:
Im asuming you meant " x = 2 ".
According to PEMDAS, parenthese come first so...
10 - ( 2 + 3 )
= 10 - 5
= 5
Answer:
its 50
Step-by-step explanation:
10 times (x+3) x=2
2 plus 3 is 5
10 time 5
=50
Can someone help please?
Answer this with explanation please
The measure of angle MTU m∠MTU is 114 degree.
What is the measure of angle MTU?From the figure in the diagram:
Measure of angle STU is 145 degrees and measure of angle STM is 31 degree.
m∠STU = 145°m∠STM = 31°m∠MTU = ?Since, angle STU composes or is the sum of angle STM and angle MTU.
To find angle MTU, simply subract angle STM from angle STU.
m∠STU = m∠STM + m∠MTU
Hence:
m∠MTU = m∠STU - m∠STM
Plug in the given values and simplify
m∠MTU = 145° - 31°
Subtract 31 from 145
m∠MTU = 114°
Therefore, angle MTU measure 114°.
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Find the perimeter of the figure to the nearest hundredth, if a =9 and b=2.
Answer:
e. 23.14 m
Step-by-step explanation:
Perimeter of the figure = ½(perimeter of a circle) + 2(a) + b
= ½(πd) + 2(a) + b
Where,
d = 2 m
a = 9 m
b = 2 m
Plug in the values into the equation
Perimeter of the figure = ½(π*2) + 2(9) + 2
= π + 20
= 23.14 m (nearest hundredth)
what is |3|?
please help i dont understand.
Answer:
Step-by-step explanation:
the bars, | |, mean absolute value
for example, if it was
| -9 |
then it would be 9
if it was
| 9 |
then it would be 9
if it was
| -550 |
it would be 550
you take the number, and if its negative, then it becomes positive
thats it
A farmer wants to take 4 of his animals to a city. He has to select the animals from 5 cows and 5 goats. (a) How many possible selections can he make? (b) In how many of these selections will there be more cows than goats?
Answer:
(a) 210
(b) 55
Step-by-step explanation:
(a) I'm assuming the animals are considered to be unique rather than identical. The order of the animals isn't important, so the number of ways he can choose 4 animals from 10 is:
₁₀C₄ = 210
(b) If there are more cows than goats, then there are either 3 cows and 1 goat:
₅C₃ ₅C₁ = 50
Or there are 4 cows:
₅C₄ = 5
The total number of combinations is 55.
Problem: Given an integer amount of money, you have to determinate which is the minimum amount of coins needed to arrive at the exact total. You have an infinite number of each, and may choose more than one. Coins available are $1, $5, $10, $25. Choose the highest-value coin available that does not exceed the total and repeat until you arrive at the desired amount.:
The solution is a simple process of subtracting the largest coin value from the total amount, adding any coins that fit, and repeating the process until the total amount is reached. This algorithm guarantees that the minimum number of coins needed to arrive at the total will be displayed.
1. Start by subtracting the largest coin value from the total amount.
2. If the difference is greater than 0, add the coin to the total and repeat the process.
3. If the difference is 0, move onto the next smallest coin value.
4. Repeat the process until the total amount is reached.
5. Once the total amount is reached, the minimum amount of coins needed to arrive at the total will be displayed.
The solution is a simple process of subtracting the largest coin value from the total amount, adding any coins that fit, and repeating the process until the total amount is reached. This algorithm guarantees that the minimum number of coins needed to arrive at the total will be displayed.
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Question
Estimate the mean of the number of points deducted from each student on an economics test given in the follow
grouped frequency table.
• Round the final answer to one decimal place.
Value Interval
0-3
4-7
8-11
Frequency
12
20
8
According to the following frequency table, the mean of the number points deducted from each student on an economics is 5.1
Frequency table:
Frequency table means the method of organizing raw data in a compact form by displaying a series of scores in ascending or descending order, together with their frequencies—the number of times each score occurs in the respective data set.
Given,
Here we need to determine the mean of the number of points deducted from each student on an economics test given in the follow grouped frequency table.
For the given table of data, the frequency table of the data is attached below.
In order to find the mean of the frequency table we have to use the following values,
The total frequency is 204
And the number of frequency is 40.
So, the mean is
=> 204/40
=> 5.1
Therefore, the mean of the data is 5.1
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which fraction is equivalent to 0.36
Answer: 9/25, Percentage: 36%
In 1995, wolves were introduced into Yellowstone Park.
The function `w\left(x\right)=14\cdot1.08^{x}` models the number of wolves, `w`, in the years since 1995, `x`.
Determine the value of `w(25)`.
What does this value say about the wolf population?
Answer:
w(25) = 96
There are 96 wolves in the year 2020
Step-by-step explanation:
Given:
\(w(x)=14\cdot 1.08^{x}\)
w(25) =
\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)
Number of years : 1995 + 25 = 2020
In 2020, there are 96 wolves
Lee's goal is to log more
than 10,000 steps each day. If
she is awake 16 hours a day,
how many steps does she need
Ito take each hour?
Answer: 625 steps per hour
Step-by-step explanation:
10,000/16=625
An item costs $350 before tax, and the sales tax is 14% .
Find the sales tax rate in percentage.
Answer: So, the sales tax on the item is $49.
Step-by-step explanation:
The sales tax rate is already given as 14%. It is stated that the item costs $350 before tax, and the sales tax rate is 14%. Therefore, the sales tax amount can be calculated by multiplying the cost of the item by the tax rate:
Sales tax amount = $350 * 14% = $350 * 0.14 = $49
So, the sales tax on the item is $49.
In the similar triangles below , what is the measure of D
The measure of angle D is 45°
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. When two triangles are similar, the corresponding angles are equal.
And also the ratio of corresponding sides of similar triangles are equal.
To know the corresponding angles
side AC is corresponding to side EF, therefore angle D is congruent to angle A
angle D = 45°
OR , we can use the sum of angles In a triangle , which is 180°
angle D = 180 -( 72+63)
= 180 - 135
= 45°
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WILL MARK BRAINLIEST
M
Answer:
∠BEC = 119°
Step-by-step explanation:
∠BAC = 47° because it is an alternate interior angle to 47°
∠BEA = 180 - 47 - 72 = 61°
∠DEC = ∠BEA because they are vertical angles
∠BEC = ∠DEA because they are vertical angles
∠BEC + ∠DEA + ∠BEA + ∠DEC = 360°
∠BEC + ∠DEA + 61 + 61 = 360°
∠BEC + ∠DEA = 238°
since ∠BEC = ∠DEA, then ∠BEC = 238/2 = 119°
Multiplying Integers (-4)(-12) =