The equation P = -0.02n^2 + 3.4n - 16 represents the profit, P, in thousands of dollars for a small independent movie company as a function of the number of DVD copies produced, n, in thousands.
The equation is a quadratic equation, which means it is a polynomial equation of degree 2. The general form of a quadratic equation is ax^2 + bx + c = 0, where a, b and c are constants and x is the variable. In this case, the equation can be written as P = -0.02n^2 + 3.4n - 16, where P is the variable, and -0.02, 3.4, and -16 are the constants.
The first term in the equation is -0.02n^2, which represents the cost of producing the DVD copies. As n increases, the cost of production also increases, and the coefficient -0.02 represents that the cost of production is directly proportional to n^2. The negative sign in front of the term indicates that as the number of copies increases, the cost of production also increases and thus the profit decreases.
The second term in the equation is 3.4n, which represents the revenue generated by the sale of the DVD copies. As n increases, the revenue generated also increases, and the coefficient 3.4 represents that the revenue is directly proportional to n. The positive sign in front of the term indicates that as the number of copies increases, the revenue generated also increases and thus the profit increases.
The last term in the equation, -16, represents the fixed costs associated with producing the DVD copies, such as overhead costs, marketing and distribution costs, etc. These costs are not directly related to the number of copies produced and are constant regardless of how many copies are produced.
In summary, the equation P = -0.02n^2 + 3.4n - 16 represents the profit for a small independent movie company as a function of the number of DVD copies produced. The profit is affected by the cost of production, revenue generated from sales, and fixed costs. As the number of copies increases, the cost of production increases, the revenue generated increases, and the fixed costs remain constant. The profit is the difference between the revenue generated and the costs incurred.
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Maria, a teacher at Learn4Life created a histogram for the vacations she's taken in the last ten years. She hasn't added the 7-day vacation yet she took this summer. Using your pencil, draw and add the 7-day vacation Maria took this summer to the histogram on the right. help help help help help )
Answer:
see photo attached
Step-by-step explanation:
You go to a store to buy clothes. Shirts cost $10.25 each, and pants cost $17 each. Let x equal the number of shirts and y equal the number of pants you buy. You can only spend up to $50 at the store. Write an inequality that represents the number and each type of clothing you can buy.
The inequality which represents the number and each type of clothing you can buy is 10.25x + 17y ≤ 50
What does this inequality represent?This inequality represents the maximum amount of money you can spend at the store, given the cost of shirts and pants, and the number of each type of clothing you buy.
The x represents the number of shirts, and the y represents the number of pants. The inequality states that the total cost of the shirts (10.25x) plus the total cost of the pants (17y) must be less than or equal to $50.
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality.
Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
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what is meant by the union of two or more events? draw a diagram. 16.) state the addition rule for disjoint events. 17.) what is meant by the intersection of two or more events? draw a diagram. 18.) explain the difference between the union and the intersection of two or more events.
The union of two or more events is a single event that represents all the outcomes that belong to at least one of the original events.
16) It is often represented using the symbol "U" or "∪". For example, if event A is "rolling a 3 on a die" and event B is "rolling a 4 on a die", the union of A and B would be "rolling a 3 or a 4 on a die".
17) The intersection of two or more events is a single event that represents all the outcomes that belong to all of the original events. It is often represented using the symbol "∩". For example, if event A is "rolling an even number on a die" and event B is "rolling a number greater than 3 on a die", the intersection of A and B would be "rolling a 4 on a die".
18) The union of two or more events represents all the outcomes that belong to at least one of the original events, while the intersection of two or more events represents all the outcomes that belong to all of the original events. The union is a "larger" event that includes all outcomes from the original events, while the intersection is a "smaller" event that only includes outcomes that belong to all of the original events.
For example, if event A is "rolling an odd number on a die" and event B is "rolling a number less than 4 on a die", the union of A and B would be "rolling a 1,3, or a 2 on a die" while the intersection of A and B would be "rolling a 1 or a 3 on a die".
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PLEASE HELP 50 POINTS URGENT
Is the system of equations consistent and independent, consistent and dependent, or inconsistent?
y = 3x + 4
y = 3x + 3
ok yx goes opposite side do cross multiplication
Answer:
The answer is Inconsistent.
Step-by-step explanation:
There is no solution.
Peter has to subtract (x² - 2x - 4) from (x² + 3x + 5)
Here is his working
(x² + 3x + 5) - (x² - 2x - 4)
= x² + 3x +5-x² - 2x - 4
= x + 1
Explain what is wrong with Peter's working.
Answer:
Grouping of like terms.
Step-by-step explanation:
(x² - 2x - 4) - (x² + 3x + 5)
= x² - 2x - 4 - x² + 3x + 5
Grouping of like terms
= x² - x² - 2x + 3x- 4 + 5
= x + 1.
Find AD if DC = 4 and DB = 6
Using Euclid's theorem for the right triangle AD is ≈ 2.67
What is Euclid's theorem for the right triangle?A perfect even natural number, according to the Euclid-Euler theorem, must have the form 2p1Mp, where Mp is a Mersenne prime. As 221M2 = 2 3 = 6, the perfect number 6 derives from p = 2 in this way, and the Mersenne prime 7 relates to the perfect number 28 in the same way.It is a fundamental tenet of number theory that there exist an unlimited number of prime numbers, according to Euclid's theorem. In his book Elements, Euclid provided the first proof of it. There are numerous ways to prove the theorem.DB = 4 and DC = 6 , We need to find AD
Using Euclid's theorem for the right triangle
∴ DB² = AD * DC
∴ 4² = AD * 6
∴ 6 AD = 16
∴ AD = 16/6 = 8/3 ≈ 2.67
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Find four numbers that form a geometric progression such that the second term is less than the first by 36 and the third term is greater than the fourth term by 324.
(There are two possible sets of four numbers)
The two possible sets of four numbers are (9,-27,81, -243) and (-18,-54,-162,-486).
A geometric progression is a special type of progression where the successive terms bear a constant ratio known as a common ratio. It is also commonly referred to as GP. The GP is generally represented in form a, ar, ar2.... where 'a' is the first term and 'r' is the common ratio of the progression. The common ratio can have both negative as well as positive values. To find the terms of a geometric series, we only need the first term and the constant ratio. Finite geometric progression contains a finite number of terms. It is the progression where the last term is defined. Infinite geometric progression contains an infinite number of terms. It is the progression where the last term is not defined.
Let the first term of the geometric progression be a and the common ratio be r.
The second term is less than the first by 36.
∴ a - ar = 36
⇒ a(1-r) = 36 --- (1)
The third term is greater than the fourth term by 324.
∴ ar² - ar³ = 324
⇒ ar²(1-r) = 324 --- (2)
Divide equation (2) by equation (1):
∴ r² = 9
⇒ r = ±3
Put r in the first equation:
⇒ a - ar = 36
⇒ a(1 - (±3) = 36
⇒ a = 36/4 or 36/-2
∴ a = 9 or -18
Similarly finding the other three terms:
ar = 9× -3 or -18×3 = -27 or -54
ar² = -27×-3 or -54×3 = -81 or -162
ar³ = -81×-3 or -162×3 = 243 or -486
Thus, the two possible sets of four numbers are (9,-27,81, -243) and (-18,-54,-162,-486).
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Complete multiplication sentence
8/2=8 x 1/?
Answer:
1/2
Step-by-step explanation:
i hope it helps you all
There are 840 people sitting at tables at a
conference. If each table holds 12 people, there are ____ people at each table.
Answer:
The answer would be 70
Step-by-step explanation:All you have to do is divide 840 by 12 and you get 70 Hope this helps and have a great week:)
Answer:
70
Step-by-step explanation:
This is because 840/12=70
Hope it helps you
PLS RATE AS BRAINLIEST ANSWER
Can someone please help me
In the rectangle given, the values of x and m<VUT are;
i. x = 6
ii. m<VUT = 64^o
Properties of a rectangle.A rectangle is a plane figure which is a family of quadrilateral since it has four straight sides. It has some properties which are:
i. the diagonals are equal and divides it into two equal parts
ii. the opposite sides are equal in length
iii. the measure its internal angles are right angle
These properties can be used to determine the values required in the given question.
i. RT = SU = 5x + 16
But,
2RV = RT
2(3x + 5) = 5x + 16
6x + 10 = 5x + 16
collect like terms
6x - 5x = -10 + 16
x = 6
ii. m<RUV + m<VUT = 90^o
But,
m<RUV = m<VRU = 26^o
So that,
m<RUV + m<VUT = 90^o
26^o + m<VUT = 90^o
m<VUT = 90^o - 26^o
= 64^o
m<VUT = 64^o
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Which of the following represent a multiplicative relationship? Select THREE correct answers.
Answer:
Bicycle workout, Andrea, and Wendy
Step-by-step explanation:
In the bicycle workout it is a multiplicative relationship because there is a constant increase of 15 / hour
Andrea's is multiplicative because the constant increase of $20 / month
Wendy's is as well because of the constant increase of 2 miles / day
fill in the blank: if the factor (x-a)^n shows up in the complete factorization of a polynomial, then the multiplicity of a is____.
a. n
b. a
c. a-n
d. x-a
If the factor (x - a)^n shows up in the complete factorization of a polynomial, then the multiplicity of a is: A. n.
What is a polynomial function?In Mathematics, a polynomial function can be defined as a type of mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations.
This ultimately implies that, a polynomial graph touches the x-axis at zeros, roots, solutions, x-intercepts, and factors with even multiplicities.
In this context, we can logically deduce that the graph of a polynomial function would touch the x-axis (x-coordinate) and turns around at r when the value of r is a zero of even multiplicity.
In conclusion, the multiplicity of a must be n since the factored form in the complete factorization of this polynomial function is (x - a)^n.
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If lil uzi had 69,420 dollhairs and John Xina wanted 69 percent of it how much money does John Xina want???
The amount of money that John Xina wants would be = $47,899.8
What is percentage?Percentage is defined as the part of the value that can be expressed as per 100 of the whole given value. This can be represented with a symbol such as %.
The amount of money Uzi has = $69,420
The percentage of money John wants from uzi = 69%
The amount of money that is 69% of Uzi's money;
= 69/100×69,420
= 4789980/100
= $47,899.8.
Therefore, the amount of money that John wants from Uzi would be = $47,899.8.
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What is the value of 1 − 2 × 3 + 4 ÷ 5 ?
Answer: -4.2
Step-by-step explanation:
=1-6+0.8
=-4.2
9. The distance between a helicopter and its landing pad is 193 m. If the angle of
depression to its landing pad is 27° to its landing pad, at what altitude (height) is the
helicopter flying? Round your answer to the nearest whole number. [3 marks]
193 m
xm
Landing Pad
Using trigonometric ratio and the angle of depression, the altitude of the plane is 98m
What is Angle of DepressionThe angle of depression is an angle formed by a horizontal line and a line of sight from a point above that line to an object below that line. It is used in trigonometry to calculate the distance between the observer and the object of interest.
Using trigonometric ratio, we can calculate the height or altitude which the plane is flying.
Data;
angle = 27 degreesdistance = opposite = 193,height/ altitude = adjacent = xUsing tangent of the angle;
tan θ = opposite / adjacent
tan 27 = x / 193
x = 193 * tan27
x = 98m
The altitude is 98m
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To support a triangular kite, Hana
attaches thin strips of wood from each vertex
perpendicular to the opposite edge. She
then attaches the kite's string at the point
of concurrency. To calculate the point of
concurrency, she determines the coordinates
of each vertex on a coordinate plane. What
are the coordinates where the wood strips
cross? Round your answer to the nearest
hundredth.
The slope of the line parallel to BC is 18/7 * (x + 0) is 18/7 y. the orthocenter is where concurrency occurs.
What is the slope of the line parallel to BC ?Hana fastens tiny wood strips perpendicular to the opposing edge from each vertex. As a result, the orthocenter is where concurrency occurs.
Given: Hana fastens small wood strips perpendicular to the opposing edge from each vertex.
As a result, the orthocenter is where concurrency occurs.
Think of the ABC triangle with coordinates.
A(0, 0) B(0, 58), C(36, 44) (36, 44)
first determine the angles of the triangle's two sides.
Formula for slope: (y 2 - y 1)/(x 2 - x 1)
slope of the AB& A(0, 0) matrix side matrix, Slope of BC side B(0,58), B(0, 58) = (58 + 0)/(0 + 0) = 0 C(36,44) = (44 - 58)/(36 + 0) = - 14/36 = - 7/18
Use Equation of the altitude perpendicular to AB's point slope form after that.
The vertex in opposition to AB is point C.
A line perpendicular to AB has a slope of zero.
y-y 1 = m(x-x 1) y-44 = 0(x-36) y = 44
Altitude Equation Perpendicular to BC
The vertex opposite BC is Point A. A line perpendicular to BC has a slope of 18/7.
y + 0 = 18/7 * (x + 0)
y = 18/7 * x
Change the value of y in the equation above. y = 18/7 * x 44 = 18/7 * x
x = 17.11 The slope of the line parallel to BC is 18/7 * (x + 0) = 18/7 y.
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A billiard ball is struck by a cue. It travels 1 0 0 cm 100cm before ricocheting off a rail and traveling another 1 2 0 cm 120cm into a corner pocket. The angle between the path as the ball approaches the rail and the path after it strikes the rail is 4 5 ∘ 45 ∘. How far is the corner pocket from where the cue initially struck the ball? Do not round during your calculations. Round your final answer to the nearest centimeter
The distance from the initial point to the corner pocket is 164 cm.
The angle between the path as the ball approaches the rail and the path after it strikes the rail is 45 degrees.
We know that the ball traveled 100cm before ricocheting off the rail and another 120cm into the corner pocket.
We can use the Pythagorean Theorem to find the distance from where the cue initially struck the ball to the corner pocket.
Let x be the distance from the initial point to the corner pocket.
x^2 = 100^2 + 120^2 - 2100120*cos(45^{\circ})
x = \sqrt{28000} = \sqrt{700*40} = \sqrt{28000} = 164.856
Rounded to the nearest centimeter, the distance from the initial point to the corner pocket is 164 cm.
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Yeah pls help been trying for tens of minutes
Answer:
34
Step-by-step explanation:
They gave us -3+5i.
The conjugate of -3+5i is
-3 - 5i
You use the same numbers -3 and 5i, but with a minus sign instead of a plus.
Then multiply them together.
(-3 + 5i)(-3 - 5i)
-3•-3 + 15i - 15i - 25i^2
= 9 - 25i^2
Remember i^2 is -1.
= 9 - 25(-1)
= 9 + 25
= 34
Shortcut version:
When you multiply a complex number and its conjugate, square both numbers and add them together.
3^2 + 5^2
= 9 + 25
= 34
A group of individuals containing b boys and g girls is lined up in random order: that is, each of the (b + g)! permutations is assumed to be equally likely. What is the probability that the person in the i^th position, 1 lessthanorequalto i lessthanorequalto b + g is a girl?
The probability is g / (b + g).
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
Let Gi be the event that the person in the ith position is a girl.
let the simple space S is all the ways to order (b + g) people, where b for boys and g for girls.
then, P(Gi) = [tex]\frac{|Gi|}{|s|}[/tex]
|s| = (b + g)! / b! g!
for the purpose of this problems, individuals of the same sex are indistinguishable.
since, if we put a girl in the ith position, the other (b + g - 1) positions can be filled in randomly.
|Gi| = (b + g - 1)! / (g - 1)! b!
then, P(Gi) = [tex]\frac{|Gi|}{|s|}[/tex]
P(Gi) = [ (b + g - 1)! / (g-1)! b! ] / [ (b + g)! / b! g! ]
P(Gi) = g / (b + g)
Therefore, the probability is g / (b + g).
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ANSWER im just writing random thing because i needed to type 20 character please solve question
The given hypotheses of the thing will be 9.7cm.
What is Pythagoras theorem?
The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC2 = AB2 + AC2 in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.
b²=h²-p²
given b=5.2cm
p=8.2cm
h²=l²+b²
h²=8.2²+5.2² = 94.28
h = 9.7 cm
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A group of 7 men can paint 42 square feet in a day. How many square feet would 20 men paint in a day?
Answer: If 7 men can paint 42 square feet in a day, then we can say that each man paints 42/7 = 6 square feet per day.
If 20 men paint, then they would paint 20 * 6 = 120 square feet per day.
Step-by-step explanation:
Out of 120 high school boys and 80 high school girls, 45 students tried out for track. Twelve of those 45 students were girls. Use this information to complete the two-way table. Enter your answer by filling in the boxes to complete the table.
As per the question, 33 boys tried the track and 87 boys didn't, whereas 12 girls tried the track and 68 girls didn't.
Total number of boys = 120
Total number of girls = 80
Students who tried out for track = 45
Students that were girls = 45
If 12 were girls, therefore,
Total number of boys -
= 45 - 12
= 33
This means that 33 boys tried the track
Now, since 12 girls tried the track
Boys who did not try the track -
= 120 - 33
= 87
Girls who did not try the track -
= 80 - 12
= 68
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer: 2x + 3y + 1
Step-by-step explanation:
That is your answer
Please give brainliest
The equation y=-4.9x^2+9.8x+2 models the trajectory of a ball thrown in the air by a man, where y = the distance the ball is from the ground in meters and x = the elapsed time in seconds. what is the greatest distance the ball is from the ground?
On solving the provided question, we can say that here, in equation the greatest distance the ball is from the ground is -y = -4.9 + 9.8 +2 = 6.9
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
here,
the equation y=-4.9x^2+9.8x+2
where y = the distance the ball is from the ground in meters
x = the elapsed time in seconds
the greatest distance the ball is from the ground is -
[tex]y=-4.9x^2+9.8x+2[/tex]
x = 1
y = -4.9 + 9.8 +2 = 6.9
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find value of x if (125/27) * (125/27)^x = (5/3)^18
Answer: x=5
Step-by-step explanation:
[tex]\displaystyle(\frac{125}{27} )*(\frac{125}{27} )^x=(\frac{5}{3})^{18} \\\\(\frac{5^3}{3^3})*(\frac{5^3}{3^3})^x=(\frac{5}{3})^{18}\\\\(\frac{5}{3} )^3*((\frac{5}{3})^3)^x =(\frac{5}{3})^{18}\\\\(\frac{5}{3} )^3*(\frac{5}{3})^{3*x}= (\frac{5}{3} )^{18}\\\\(\frac{5}{3} )^3*(\frac{5}{3})^{3x}= (\frac{5}{3} )^{18}\\\\(\frac{5}{3})^{3x+3}= (\frac{5}{3} )^{18}\\\\Hence,\ \\\\3x+3=18\\\\3x+3-3=18-3\\\\3x=15\\\\[/tex]
Divide both parts of the equation by 3:
[tex]x=5[/tex]
Can you guys help me to figure out the area and explain to me pls
Answer:
123.2
Step-by-step explanation:
First find area of the square ABCD, then the triangle AMN.
Find CD:
sin30 = CD/20
CD = 20(sin30) = 10
CD = AD = 10
Find MD:
cos30 = MD/20
MD = 20(cos30) = 17.32
AM = MD - AD = 17.32 - 10 = 7.32
Area of ABCD = (10)(10) = 100
Find height of triangle AMN: AN
cos30 = AN/7.32
AN = cos30(7.32) = 6.34
Area of triangle ANM = 1/2(7.32(6.34) = 23.2
Total Area of the shape = 100 + 23.2 = 123.2
10) suppose you administer a certain aptitude test to a random sample of 9 students in your
school, and that the average score is 105. we want to determine the mean u of the population of
all students in the school. assume a standard deviation of g - 15 for the test. perform a 99% ci
and interpret.
a). 115.26 is the upper bound of a 98% band (b). 93.36 to 116.63 is the 98% confidence interval (c). We have 98% confidence that the collected sample data will include the true worth of the population parameter.
Why is mean called the average?By multiplying the total number of numbers by amount of all the numbers, one can approximate the average. A mean can be established by the average of such probabilities in a survey of data. In other words, an average is also known as the arithmetic mean. The average is referred to as having a mean.
[tex]\begin{aligned}& \mu=105 \\& \sigma_x=\frac{\sigma}{\sqrt{n}}=\frac{15}{\sqrt{9}}=5\end{aligned}[/tex]
(a). The maximum 98% interval
[tex]=\mu+Z_{0.02} * S D=105+2.0537 * 5=115.2685[/tex]
(b). 98 percent confidence band
[tex]\begin{aligned}& \left(\mu-Z_{\frac{0.02}{2}} * S D, \mu+Z_{\frac{0.02}{2}} * S D\right) \\& (105-2.3263 * 5,105+2.3263 * 5)=(93.3685,116.6315)\end{aligned}[/tex]
(c). We have 98% confidence that the collected random sample would also include the true value of said population parameter.
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The complete question is-
Suppose you administer a certain aptitude test to a simple random sample of 9 students in your school, and that the average score is 105 . From past experience, scores on such a test among students like those at your school follow a Normal distribution. We want to determine the mean score [tex]$\mu$[/tex] of the population. Assume a standard deviation of [tex]$\sigma=15$[/tex] for the test.
(a). What is the upper critical value for a 98% confidence interval? (Show the key numbers in the sketch of the distribution.)
(b). Construct and interpret a 98% confidence interval for the mean score [tex]$\mu$[/tex]. Follow the Inference Toolbox.
(c). Explain the meaning of 98 % confident.
The equation of line k is y+10=3(x+3). Perpendicular to line k is line , which passes through the point (5,–5). What is the equation of line ?
The equation of a line is 3y+x+10 = 0 when it passes through the point (-5,5).
What is Equation of Straight line ?
Equation of Straight line as follows , y = mx+b
where m is slope of the line.
Given ,
The equation of line k is y+10=3(x+3).
Perpendicular to line k is line , which passes through the point (5,–5)
So, the given equation could be,
y = 3x+9-10
y = 3x-1
m = 3
So, the slope of the another line = -1/3
So, the equation could be ,
when it passes through the point (5,-5) is
y - (-5) = -1/3 ( x - 5 )
y+ 5 = -1/3 ( x-5)
3 (y+5) = -1 (x-5)
3y+15 = -x + 5
3y+x+15-5 = 0
3y+x+10 = 0
Hence, The equation of a line is 3y+x+10 = 0 when it passes through the point (-5,5).
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Water is poured into the top half of a spherical tank at a constant rate. If W(t) is the rate of increase of the depth of the water, then W is: O constant O linear and increasing O linear and decreasing O concave up
The rate of increase of the depth of the water (W(t)) is constant.
What is rate ?
In mathematics and physics, the rate is a measure of change of a certain quantity with respect to another quantity. The rate can be a number, a ratio or a derivative. It is often represented by the symbol "d" or "dx/dt" or "dy/dt" and it measures how fast a quantity is changing.
Water is poured into the top half of a spherical tank at a constant rate, this means that the rate of increase of the depth of the water (W(t)) is constant.
In this case, W(t) is constant.
It is important to keep in mind that the rate of change of the function doesn't indicate the shape of the function, it just tells us the change of the dependent variable with respect to the independent variable. The shape of the function can be visualized by creating a graph of the function.
So , The rate of increase of the depth of the water (W(t)) is constant.
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Grogg, Lizzie, and Alex each own a white hat marked with the first letter of their name. Winnie owns a plain red hat, which is not marked with any letter.
How many ways can the four beasts wear these four hats so each beast is wearing a different hat, and no one is wearing a hat marked with the first letter of their name?
The number of ways for the four beasts to wear these hats so each beast is wearing a different hat, and no one is wearing a hat marked with the first letter of their name is given as follows:
8.
How to calculate the number of ways?Winnie is wearing a hat that does not have any letter, while the letters on the other helmets are G, L and A, meaning that Winnie can wear four helmets.
For Grogg, Lizzie, and Alex, they can't wear the helmet with their own letters.
Hence the possible combinations, considering only them, are listed as follows:
Grogg - Lizzie - AlexWhite L - White A - White G.White A - White G - White L.As Winnie can wear any of the four helmets, and Grogg/Lizzie/Alex can also wear the red helmet, the number of outcomes is given as follows:
4 x 2 = 8.
More can be learned about the number of ways in a trial at https://brainly.com/question/15878751
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