The percent decrease of water in the tank is 50%.
What is the percent decrease?
The difference between starting and final numbers is the percentage drop. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decline.
We have,
a tank contained 6 in. of water.
After several hours, it contained 3 in. of water.
percent decrease of water in the tank?
A tank contained 6 in of water.
After several hours, it contained 3 in of water
So, decrease in water = 6 in - 3 in = 3 cm
The percent decrease of water in the tank = (change in amount of water/initial amount) * 100
The percent decrease of water in the tank = (3/6) * 100
= 50
Hence, the percent decrease of water in the tank is 50%.
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how many points does a team get when a player makes a shot from more than 25 feet away?
Answer:
e
Step-by-step explanation:
find two consecutive integers such that three times the greater integer less than than 5 times the lesser integer
By solving a linear equation, it can be calculated that
The integers are 5 and 6
What is linear equation?
At first it is important to know about linear equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Here, a linear equation needs to be solved
Let the integers be x, x + 1
Three times the greater integer is 7 less than than 5 times the lesser integer
By the problem,
The linear equation is
3(x + 1) = 5x - 7
3x + 3 - 5x = -7
-2x = -7 - 3
-2x = -10
x = [tex]\frac{-10}{-2}[/tex]
x = 5
The other integer is 5 + 1 = 6
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15.Which of these is a correct statement about the function graphed below?
Answer: A.
Step-by-step explanation:
It can't be C or D because if you plug the y and x in, it will make the equation become not true!
Let's test the point (2,4)
y= x^2 + 2
4 = 6
This is not true, so C and D are wrong!
It can't be B because this graph is a linear function; you can test it using the line test.
So answer is A
A marine biologist is studying the growth of a particular species of fish She writes the following equation to show the length of the fish timma
Part A: When the marine biologist concluded her study the length of the fish was approximately 6.86 cm What is
Part B What does the y-intercept of the graph of the function fim) represent? (2 points)
Part C. What is the average rate of change of the function fim) from m-3 tom-7, and what does it represent? (4 p
Find the slope of the line that passes through (5, 8) and (2, 4).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
4/3
Step-by-step explanation:
4-8/2-5
-4/-3
4/3
hopes this helps
Answer: 4/3 is the slope
absolute value of 3+i
Answer:
3+i
Step-by-step explanation:
|3+i| is just 3+i because it is already positive.
HELP ME!! I will give brainly
Answer:
-4
Step-by-step explanation:
First find the slope of the original line
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\\frac{1-0}{4-0} \\\frac{1}{4}[/tex]
Slope = 1/4
Then take it's negative reciprocal to get the slope of the perpendicular line by dividing 1 by the slope and then changing the sign
-4
In circle L with m/KLM = 60°, find the angle measure of minor arc KM.
Answer:
minor arc KM = 60°
Step-by-step explanation:
the measure of an arc is equal to the measure of the central angle that subtends it , then
arc KM = ∠ KLM = 60°
before starting to paint, bill had 130130 ounces of blue paint, 164164 ounces of red paint, and 188188 ounces of white paint. bill painted four equally sized stripes on a wall, making a blue stripe, a red stripe, a white stripe, and a pink stripe. pink is a mixture of red and white, not necessarily in equal amounts. when bill finished, he had equal amounts of blue, red, and white paint left. find the total number of ounces of paint bill had left.
The weight in ounces of paint which left after painting the wall is 114 ounces.
Explain weight in ounces.1 ounce is equivalent to 437.5 grains or 28.349 grams Abbreviation: oz. a unit of weight equivalent to one twelfth of a Troy or Pharmacists' pound; 1 ounce is equivalent to 480 grains or 31.103 grams. short for liquid ounce. a little part or sum.
How we make the equation of this problem to solve it?Let x be how much paint in a strip. The aggregate sum of paint is 130+164+188=482. In the wake of painting the wall, the aggregate sum of paint is 482-4x. Since the aggregate sum in each tone is similar in the wake of getting done.
Then equation can be written as,
482 - 4x/3 = 130 -x
482 - 4x = 390 - 3x
x = 92
so, the paint left = 482-4x = 482 - 4(92) = 114.
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how much time is required for a 5.75 mgmg sample of 51cr51cr to decay to 0.700 mgmg if it has a half-life of 27.8 days? express the time in days to one decimal place.
The time is required for a 5.75 mg sample of 51cr to decay to 0.700 mg is 99.4 days
What is decay constant?
A property of unstable radionuclides that spontaneously decay at various rates to a more stable atomic configuration is the radioactive decay constant (λ); The higher the decay constant, the faster the parent radionuclide depletes over time.Decay constant k = ln(2) / half life
= ln(2) / 27.8
= 0.024933 day⁻¹
For first order decay:
ln(M / M₀) = -kt
where M is mass remaining at time t and M₀ is initial mass.
ln(0.700/5/75) = -0.024933 * t
Time, t = 99.4 days
Hence, time is required for a 5.75 mg sample of 51cr to decay to 0.700 mg is 99.4 days.
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try and awnser the question
Step-by-step explanation:
a. The temperature in Rome is 11 degrees and in Oslo is 2 degrees. To find the difference, you subtract the two. 11-2=9
The temperature difference is 9 degrees.
b. Kiev is 1 degree. It gets 6 degrees warmer. Add 1+6=7
Kiev is 7 degrees at 6 pm.
suppose that three microchips in a production run of sixty are defective. a sample of five is to be selected to be checked for defects. (a) how many different samples of five can be chosen from the production run of sixty?
From the production set, we can choose 8.803884057 × 10¹⁵² different samples.
Given,
The total microchips in a production run = 60
Number of microchips are defective in 60 = 3
Sample selected to check the defect = 5
We have to find the number of different samples of 5 can be chosen from the production run of 60;
Here,
Combinations formula:
According to the following formula, Cₙ, ₓ is the quantity of distinct combinations of x objects from a group of n members.
Cₙ, ₓ = n! / x! (n - x)!
Number of samples we can choose;
We are choosing 5 microchips from a set of 60.
Then,
C₆₀,₅ = 60! / 5! (60 - 5)! = 8.803884057 × 10¹⁵²
So,
We can choose 8.803884057 × 10¹⁵² different samples from the production set.
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Use the table. What is the total amount of
electricity a computer, a television, and a
heater use in 1 hour? Show your work.
How many hours does it take for a light
bulb to use as much electricity as a heater
uses in 1 hour?
DATA
Electricity Used
Appliance
Computer
Heater
Light bulb
Television
Kilowatts Per Hou
0.09
1.5
0.1
0.3
Answer:
Step-by-step explanation:
15
The following table gives annual life insurance premiums per $1,000 of face value. Use the table to determine the annual premium for a $75,000 10-year term policy for a 25-year-old male. Round your answer to the nearest cent. A 5-column table with 6 rows titled term insurance. Column 1 is labeled age with entries 20, 21, 22, 23, 24, 25. Column 2 is labeled 5-year term male with entries 2 dollars and 43 cents, 2. 49, 2. 55, 2. 62, 2. 69, 2. 77. Column 3 is labeled 5-year term female with entries 2. 07, 02. 15, 2. 22, 2. 30, 2. 37, 2. 45. Column 4 is labeled 10-year term male with entries 4. 49, 4. 57, 4. 64, 4. 70, 4. 79, 4. 85. Column 5 is labeled 10-year term female with entries 4. 20, 4. 36, 4. 42, 4. 47, 4. 51. A. $363. 75 c. $183. 75 b. $207. 75 d. $338. 25.
The face value of a 10-year term insurance policy on a 24-year-old male will be $75,000 based on the amount paid per $1,000 of face value.
A contract for insurance provides protection from losses resulting from particular calamities or risks on the part of the insurer. It assists in against financial loss for the insured person or their family. The most prevalent types of insurance are life, health, homeowners, and auto.
Face value of the insurance policy
The formula use to calculate face amount is
= 1,000 x (Annual premium paid / Amount paid for $1,000 of coverage for a male 24 year old for a 10 year insurance)
How to solve:
= 1,000 x (359.25 / 4.79)
= 1,000 x 75
= $75,000
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the r value is 0.2 per year. what percentage growth rate would the population show in the absence of constraints? (round your answer to the nearest whole number.)
The percentage growth rate would the population show in the absence of constraints is 22%
A logistic model is modeled by the function
N = K/1+be^rt
where, the constant k represents carrying capacity,
the constant b is formed by b = k/n(o) - 1
the value of r will be the intrinsic exponential growth rate and t represent time.
⇒ If there is no limiting factors, then the logistic model would be exponential according to formula:
N = N(0)e^rt
Since the corresponding growth factor for this exponential function is a = e^r
so the variable r can be obtained from a using :
r = ln a
a = e^r
given r= 0.2
a = ?
a = e°·²
a = 1.221
a = 1.22
⇒ 1.22 - 1 = 0.22
0.22×100 = 22%
Hence we get the percentage growth as 22%.
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find x in the equation
x = 2
x = −2
x equals 392 over 9
x equals negative 392 over 9
Answer:
x= -2
Step-by-step explanation:
5x+1/3=1/3x-9
-1/3x. -1/3x
4 2/3x+1/3= -9
-1/3. -1/3
4 2/3x= -9 1/3
14/3x= -28/3
/14/3. /14/3
x= -28/3*3/14
x= -84/42
x= -2
hopes this helps please mark brainliest
Answer:
x = -2
Step-by-step explanation:
5x + 1/3 = 1/3x - 9
5x - 1/3x + 1/3 = -9
5x * 3 15x
-- > -- (remember -> 5x is the same as 5/1x)
3 3
15x/3 - 1/3x + 1/3 = -9
14x/3 + 1/3 = -9
14x+1/3 = -9 (14x + 1 is ALL over 3)
Now multiply by 3 on both sides to cancel out the denominator since 3 is the denominator.
14x + 1 = -27
14x = -28
(divide by 14 to both sides)
x = -2
> Solve the problem.
David paints a set for a
play. The table shows the
proportional relationship
between gallons of paint
and the area of the set.
What area of the set can
11 gallons of paint cover?
Paint (gal) Area (sq ft)
y
X
400
640
1200
2.5
4
7.5
11
1760 ft² area will be covered with 11 gallons of paint.
What is proportionality?When two quantities are related in a linear relationship, then that arrangement is said to be in proportion.
Given that, a proportional relationship between gallons of paint and the area of the set.
The relation is :-
x (gallon of pain) y (area)
2.5 400
4 640
7.5 1200
11 ?
Establishing the proportion,
Area covered in 1 gallon =
400/2.5 = 640/4 = 1200/7.5 = 160 ft²
That means, in 1 gallon, there will be 160 ft² area covered.
Therefore, in 11 gallons = 160×11 = 1760 ft²
Hence, in 11 gallons, 1760 ft² area is being covered.
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A "necklace" is a circular string with several beads on it. It is allowed to rotate a necklace but not to turn it over. How many different necklaces can made using 13 different beads?.
479,001,600 necklaces can be made using 13 different beads.
We will be using 13 different beads in our necklace, and the arrangement of the beads is what distinguishes one necklace from another.
Additionally, the mirrored necklaces are different because we are unable to turn the necklaces around (the positions of the beads are mirrored)
We have 13 alternatives for the first bead, 12 options for the second, and so on.
if the product of the options for each choice results in a total number of combinations equal to 1, then we have:
Combinations of the form C=13*12*11*10*9*8*7*6*5*4*3*2*1
C = 6,227,020,800.
Now that the necklace may be rotated, a combination is possible.
A B C D E F G H I J K L M (Each letter corresponds to a certain bead)
is identical to other orders as
A through Z: m A B C D E F G H I J K L
With 13 rotations for each combination, the actual number of combinations is:
C/13 = 6,227,020,800/13 = 479,001,600
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Write a symbolic equation for the location of the center of mass of the three beads relative to the center bead, in terms of the variables given in the problem statement.
The symbolic equation for the location of the center of mass of 3 beads is [tex]x_{cm}[/tex] = m1d1 + m2 (d1 + d2) + m3 ( d1+d2+d3)/ m1 + m2 + m3
Mass of 1st bead = m1 = 22 g
Mass of the 2nd bead = m2 = 12 g
Mass of the 3rd bead = m3 = 51 g
Distance of the 1st bead from left end of the rod = d1 = 1.5 cm
Distance of the 2nd bead from the first bead = d2 = 1.9 cm
Distance of the 3rd bead from the second bead = d3 = 4.5 cm
Location of the center of mass of the three beads relative to the left end of the rod = xcm
We want to find the center of mass relative to the left end of the rod therefore we will need the distances of each bead from the left end of the rod.
Distance of the first bead from the left end of the rod = x1
x1 = d1
Distance of the second bead from the left end of the rod = x2
x2 = d1 + d2
Distance of the third bead from the left end of the rod = x3
x3 = d1 + d2 + d3
[tex]x_{cm}[/tex] = m1 x1 + m2 x2 + m3 x3 / m1 + m2 + m3
[tex]x_{cm}[/tex]= m1(d1) + m2(dı + d2) + m3(d1 + d2 +d3)/ m1 + m2 + m3
[tex]x_{cm}[/tex] = m1d1 + m2 (d1 + d2) + m3 ( d1+d2+d3)/ m1 + m2 + m3
Substituting the values to get a numerical answer,
[tex]x_{cm}[/tex] = (22)(1.5) + (12)(1.5 +1.9) + (51)(1.5 +1.9 +4.5) 22 + 12 + 51
xcm = 5.61 cm
Location of the center of mass of the three beads relative to the center bead = x
Distance of the first bead from the center bead (second bead) = x4
x4 = -d2 (Negative as it is to the left of the second bead)
Distance of the second bead from the center bead (second bead) = x5 = 0 cm
Distance of the third bead from the center bead (second bead) = x6
x6 = d3
x = m1 x4 + m2 x5 + m3 x6/ m1 + m2 + m3
x = m1 ( - d2) + m2 (0) + m3 (d3) / m1 + m2 + m3
x = - m1 d2 + 0 + m3d3 / m1 + m2 + m3
x = m3d3 - m1 d2 / m1 + m2 + m3
Substituting the values to get a numerical answer,
x= (51) (4.5) - (22)(1.9)/22 + 12 + 51
x = 2.21 cm
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How much is 50 km in hours?
The mentioned data of 50 kilometres in hours is speed of 50 kilometres per hour.
The 50 kilometres refere to the distance and hour is representative of time. Now, ratio of distance and time indicates the speed or rate of movement of the concerned thing.
The speed or rate of movement holds significance in real world calculations. Based on it, the speed of bucket carrying water from well can be increased or decreased, movement of vehicles which may cause accident, distance covered by trains, airplanes, ships and other transport objects by specific speed in particular time limit.
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Please help asap. Anything helps!!!
Answer: 2x
Step-by-step explanation:
what is the quation of the unit cirle? that is what conditoon must x and y satify if (x,y) is 1 unit form the origin
f(x)=x^4-8x^3+4x^2+6x-3;f(2) Use the Remainder Theorem to find the Indicated function value
The required simplified value of the function at x = 2 is -23.
An expression, [tex]f(x) = x^4-8x^3+4x^2+6x-3,[/tex] solution of the expression at x = 2 is to be determined.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
In order to simplify the given expression association of the terms that have equal value in the exponent.
[tex]f(x) = x^4-8x^3+4x^2+6x-3,[/tex]
Put x = 2
[tex]f(2) = 2^4-8*2^3+42^2+6*2-3,[/tex]
f(2) = -23
Thus, the required simplified value of the function at x = 2 is -23.
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In a pizza dough recipe, the volume of water before mixing is 25% of the total ingredient volume. Which equation represents the relationship between the volume of water and the total volume of all ingredients? 1 (Let w represent the volume of water, and let t represent the total volume of all ingredients.)
a) t = 0.2w
b)t = 0.25w
c) = 4w
d) = 5w
The equation that relates the volume of water and the total ingredient volume is the one in option C, it is written as:
t = 4*w
Which equation represents the relationship?So we know that the volume of water before mixing is 25% of the total ingredient volume.
So if we define the variables:
w = volume of watert = total volume of ingredients.Then we know that w is equal to the 25% of t.
Then the relation can be written as:
w = (25%/100%)*t
Where we divide the percentage by 100% so we write a decimal number instead of a percentage.
Now we can simply it so we get:
w = (25%/100%)*t
w = 0.25*t
Now we can isolate t to get:
t = (1/0.25)*w
t = 4*w
So the correct option is C.
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piral Review Callie bought 4 pies from a bakery for a holiday dinner. The total cost was $75.80. each pie cost the same, how much did one pie cost?
To find the cost of one pie, we need to divide the total cost by the number of pies. In this case, that would be $75.80 / 4 = $<<75.8/4=18.95>>18.95. Therefore, each pie cost $18.95.
The diameter of the hubcap of a tire is 46 cm find the area in square centimeters of this hubcap write your answer in the terms of pi 
Answer:
[tex]529\pi[/tex] cm²
Step-by-step explanation:
[tex]d=46 \implies r=23 \\ \\ A=\pi r^2=\pi (23^2)=529\pi[/tex]
Simplify by combining like terms
2/3b - 2 3/4
Answer:
[tex]\frac{8b-33}{12}[/tex]
Step-by-step explanation:
Sorry the answer is 8b-33/12
when making decisions: question 15 options: qualitative factors are the most important both quantitative and qualitative factors are unimportant appropriate weight must be given to both quantitative and qualitative factors quantitative factors are the most important
When making decisions: c) appropriate weight must be given to both quantitative and qualitative factors.
Decision-making is a difficult process, especially when the issue at hand is complex and the significance of the outcome impacts the stakeholders. Decision-making is his five-step process. Recognize situations that require decision making. identifying and developing alternative courses of action; evaluating alternatives; choosing one of the alternatives and carrying out the chosen steps.
Quantitative decisions are primarily based on statistical analysis of collected data, whereas qualitative decisions are based on many algorithms such as data type and quality, factors influencing collected data, and risk assessment. It is based on more than just numeric data values to make decisions.
Quantitative factors are the basis of numerical determination. The impact of the decision on stakeholders and their reactions. investment valuation; break-even analysis; market research; sales forecasting; critical path and decision tree analysis. Qualitative factors consider other aspects that can influence the outcome of a decision, such as a SWOT (Strength Weakness Opportunities Threats) analysis. HR management issues such as motivation, morale and retention. PEST (Political, Economic and Social Technology); Advertising and Propaganda; Long-Term Survival/Development Issues and Stakeholder Analysis.
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Evaluate the expression for the given value of the variable.
37 + 5/9n
n = -1/2
The value of the expression 37 + 5/9n = -1/2 is -67.5.
How to evaluate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
The expression is given as:
37 + 5/9n = -1/2
Collect the like terms
5/9n = -1/2 - 37
5/9n = - 37 1/2
0.5556n = -37.5
Divide
n = -37.5 / 0.5556
n = -67.5
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Complete question
Evaluate the expression for the given value of the variable.
37 + 5/9n = -1/2
Given the functions:
f(x) =83 + 8x
8 (x) = V2x
h (x) =7x-9
Evaluate the function h f(x)) for x = 3. Write your answer in exact simplified form. Select "Undefined" if applicable.
The value of h(f(3)) is 348.
What is simplification?
The method of simplifying something so that it is simpler to carry out or understand, or the product of such a method.
Here, we have
Given functions: f(x) = x³ + 8x, g(x) = √2x, h(x) = 7x-9
First, we will find f(3)
f(x) = x³ + 8x
By simplification, we put x = 3 and get
f(3) = 27 + 24
f(3) = 51
Now, we find h(f(3)) and we get
h(x) = 7x-9
h(f(3)) = 7(51)-9
h(f(3)) = 357 - 9
h(f(3)) = 348
Hence, the value of h(f(3)) is 348.
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