The approximate number of years for which the species is extinct is 7.7 years.
What are the zeros of equations?Zeros of an equation is defined as the value of the independent variable where the equation or function gives zero.
Here,
The population of a species is modeled by the equation,
p(t) = -t⁴ + 56t² + 240,
Where t is the number of years.
The approximate number of years until the species is extinct, is given by determining the zero of the equation,
-t⁴ + 56t² + 240 = 0
So, zeros is given as,
t = 2i, -2i, 2√15, -2√15
Now,
We only consider the positive real value of t,
t = 2√15
t = 7.7 years
Thus, the approximate number of years for which the species is extinct is 7.7 years.
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Multiply 3x (2x - 1) by following these steps: Factor 1 ED +X Product Step 1: Drag tiles to the section labeled Factor 1 to represent the factor 3x.
Answer:
product would be 6x^2-3x
Step-by-step explanation:
don't know the rest
(w2x−3)÷10⋅z when w=−6, x = 1.2, and z=−67
Pls help me my fellow friends, i will answer your question if you want!
Answer:
116.58
Step-by-step explanation:
([tex]\frac{w2x - 3}{10}[/tex]) z Substitute in what you know
[tex](\frac{(-6)(2)(1.2) - 3}{10})[/tex] (-67)
[tex](\frac{-14.4-3}{10})[/tex](-67)
[tex](\frac{-17.4}{10})[/tex](-67)
-1.74(-67)
116.58
Answer:
116,58
Step-by-step explanation:
((-6)·2·1,2-3)÷10·(-67)
(-14,4-3)÷10·(-67)
-17,4÷10·(-67)
-1,74·(-67)
116,58
Does a two-digit number exist such that the digits sum to 9 and when the digits are reversed the resulting number is 9 greater than the original number? identify the system of equations that models the given scenario.
The two digit number is 54 and the system of equations that models the given scenario is x + y = 9 and x - y = -1, where x and y are the digits of the two-digit number.
Let the two-digit number has digit x in tens place value and y in ones place value, then the two digit number is
10x + y
As the sum of the digits is 9
x + y = 9
When the two-digit number is reversed, the resulting two-digit number would be
10y + x
As it is given that this resulting number is 9 greater than original number
10y + x = (10x + y) + 9
Subtracting x and y on both sides
10y + x - y - x = 10x + y + 9 - y - x
9y = 9x + 9
Dividing by 9
y = x + 1
Rearranging
x - y = -1
So the system of equation representing this scenario is
x + y = 9
x - y = -1
To solve for x
Add the equations
(x + y) + (x - y) = 9 + (-1)
2x = 8
Dividing by 2
x = 4
To solve for y, substitute x in first equation
4 + y = 9
Therefore y = 5
Thus the original number is
10x + y = 10×4 + 5
= 45
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the rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only half as much light per unit area as clear glass does. the total perimeter is fixed. find the proportions of the window that will admit the most light. neglect the thickness of the frame.
Assume that x represents the window's rectangular portion's width and y represents the window's rectangular portion's height. The width of the rectangular component of the window is equal to the diameter of the semicircle portion since the semicircle with diameter d is atop the window, or x = d.
x = circle diameter = window width
r = x/2 and y = window height
We'll now solve for the window's perimeter. The top section of the rectangular window is not included since it is continuous with the semicircular component of the window, therefore the perimeter of the rectangle portion is x + 2y, and the perimeter of the circular portion is x/2 (which is half the circumference of a circle).
hence:
P = x2y + πx/2 = 2r + 2y + πr
We will now find a solution for the light that passes through the window. Assuming that transparent glass transmits one light per square inch, tinted glass transmits just one light per square inch.
The area of the rectangle component multiplied by the clear glass light constant, or 1*2ry = 2ry, will determine the rectangular light. The semicircular component will be equal to (1/4)*r2/2, which is the tinted glass light constant multiplied by half the area of a circle. Hence,
L = 2ry + πr2/8
Isolating y from the perimeter equation now will allow us to enter that value of y into the light equation.
L = r(P - r(2 + )) + r2/8 y = (P - r(2 + ))/2
P is a constant, hence the only variables in the light equation are We can differentiate L with respect to r (i.e. dL/dr) and solve for when dL/dr = 0 to find the point at which the light transmitted is at a maximum.
dL/dr = P - 2r(2 + π) + πr/4
0 = P - 2r(2 + π) + πr/4
r = 4P/(16 + 7π)
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Is the absolute value always less than or equal to zero?
No, the absolute value of a number is always non-negative, meaning it is greater than or equal to zero, but it is not always equal to zero.
The absolute value of a number represents the distance of that number from 0 on the number line and a number can be positive or negative.
For example, the absolute value of 5 is 5, which is greater than zero. The absolute value of -5 is also 5, which is also greater than zero. The only time the absolute value of a number is equal to zero is when the number is zero, |0| = 0.
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A boat rental company has two kinds of boats, rowboats and motorboats. The expressions below represent the cost, in dollars, for renting each kind of boat for x number of hours. Cost of a rowboat rental: 8 . 50 x 3 Cost of a motorboat rental: 17 . 50 x 25 Which expression shows how many more dollars it costs to rent a motorboat than a rowboat for x hours
The expression which is correct representing the cost to rent a motorboat than a rowboat for x hours is 9x + 22.
Equation:
An equation is a mathematical formula that contains two algebraic expressions on either side of an equal sign (=). It shows the equivalence relation between the formula written on the left and the formula written on the right. In any formula, L.H.S = R.H.S (left side = right side). You can solve equations to find the values of unknown variables that represent unknown quantities. If a statement doesn't have an equals sign, it means it's not an equation.
According to the question:
The equation of Rowboat rental is Given as:
8.50x + 3
and, the equation of motorboat rental is given as:
17.50x + 25
Now,
the difference between the equation (1) from equation(1):
17.50x + 25 - (8.50x + 3)
⇒ 17.50x - 8.50x + 25 - 3
⇒ 9x + 22
Complete Question:
A boat rental company has two kinds of boats, rowboats and motorboats. The expressions below represent the cost,
in dollars, for renting each kind of boat for x number of hours.
Cost of a rowboat rental: 8.50x +3
Cost of a motorboat rental: 17.50x +25
Which expression shows how many more dollars it costs to rent a motorboat than a rowboat for x hours?
*8x +22
*9x + 22
*9x + 28
*26x + 28
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For the equation: 2(x - 5) = 9 - 3x + 6 + 8 + 3x + 7 , the right side of the equation can be simplified by combining like terms.
Simplify 9 - 3x + 6 + 8 + 3x + 7 :
2(x - 5) can be simplified using the Distributive Property.
Simplify 2(x - 5):
The value of the equation is x=20.
What is equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here the given equation is
=> 2(x-5)=9-3x+6+8+3x+7
Now simplify the equation for x then
=> 2x-10 = 30-3x+3x
=> 2x-10=30
=> 2x=30+10
=> 2x=40
=> x=20
Hence the value of the equation is x=20.
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who can help me plssssssssssssssssssssssssss
Answer:
Step-by-step explanation:
hi
Answer:
Step-by-step explanation:
hi
Mr. brown's statistics class consists of 21 seniors. the class took two quizzes in one week, and 12 of the students in the class passed both quizzes. what is the probability that the same students who passed the first quiz also passed the second quiz given that 19 students passed the first quiz? a. b. c. d.
Given that 19 students completed the first quiz, the probability that the same children who finished the first exam also passed the second quiz is P(S/F) = 0.63.
How is probability determined?How possible something is to happen is determined by its probability. By dividing the whole significance level by the total number of ways an event could occur, one can calculate the likelihood.
In this situation, conditional probability is used. P represents the conditional probability like an occurrence, A, given that B has occurred (AIB). We would estimate the likelihood as
P(AIB) is defined as (Probability of A and B)/Probability of B.
Probability of S and F in the iven question is 12/21. (12 of the students in the class passed both quizzes)
Probability of S = 19/21
Therefore,
P(SIF) = (12/21) / (19/21)
(PSIF) = 12/21 * 21/19
(PSIF) = 12/19 = 0.63
The correct option is A
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The complete question is-
Mr. Brown's statistics class consists of 21 seniors. The class took two quizzes in one week, and 12 of the students in the class passed both quizzes. What is the probability that the same students who passed the first quiz also passed the second quiz given that 19 students passed the first quiz?
A. P(S/F) = 0.63
B. P(S/F) = 0.2
C. P(S/F) = 0.8
D. P(S/F) = 1.31
Serenity is a waitress at a restaurant. Each day she works, Serenity will make a
guaranteed wage of $20, however the additional amount that Serenity earns from tips
depends on the number of tables she waits on that day. From past experience,
Serenity noticed that she will get about $13 in tips for each table she waits on. How
much would Serenity expect to earn in a day on which she waits on 19 tables? How
much would Serenity expect to make in a day when waiting on t tables?
Answer:
19 tables, f(19) = $280
1 table, f(1) = $33
Step-by-step explanation:
Let f(x) be the money Serenity makes each day, where x is the number of tables she serves.
Her saily income includes a fixed injcome of $20/day, plus $13/table in tips.
We can write f(x) = $20 + $13x
When x = 19, f(19) = $280
When x = 1, f(1) = $33
What are 2's factors?
1 and 2 are the factors of 2.
2 is a prime number, it has only two factors, 1 and 2. Also, we also know that the factors of 2 are the exact divisors of that number. There is another way to represent the factors of any number, by arranging the number of objects.
It is the only number when added and multiplied to itself brings the same result, 4. Factors of 2 can be positive and negative as well.
Prime factors of 2, and factors of 2 in pairs along with solved examples for a better understanding. Factors of 2 are all the numbers which on multiplying give the result of 2.
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What is an absolute value function called?
Answer:
An absolute value function is a function in algebra where the variable is inside the absolute value bars. This function is also known as the modulus function and the most commonly used form of the absolute value function is f(x) = |x|, where x is a real number.
A particle is located at vector r = (0.54,)i + (-36m)j +(p.85m)k constant force of magnitude 2.6 N acts on the particle. Find the components of the torque about the origin when the force acts in (a) the positive x direction and (b) the negative z direction.
The components of the torque about the origin when the force acts in
(a) the positive x direction is 1.4N.
(b) the negative z direction is 2.21N.
What is constant force of magnitude?
The motion of a particle occurs on a plane and is influenced by a force of constant magnitude that is always perpendicular to the particle's velocity.
Given:
A particle is located at vector r = (0.54m)i + (-36m)j +(.85m)k constant force of magnitude 2.6 N acts on the particle.
We have to find the torque about positive x direction and negative z direction.
At the positive x direction the torque is (T)
= the x component of position vector . F
= 0.54 x 2.6
= 1.4 N
At negative z direction Torque = - (z component of position vector).F
= .85 x 2.6
= 2.21 N
Hence,
The components of the torque about the origin when the force acts in
(a) the positive x direction is 1.4N.
(b) the negative z direction is 2.21N.
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to the nearest second, what is the first time between 4:00 and 5:00 that the minute and hour hands of the clock are perpendicular to each other?
So the first time between 4:00 and 5:00 that the minute and hour hands of the clock are perpendicular to each other to the nearest second is 4:06.
The minute hand of a clock moves 360 degrees in 60 minutes, or 6 degrees per minute.
The hour hand moves 360 degrees in 12 hours, or 30 degrees in 1 hour, or 30 degrees in 60 minutes, or 0.5 degrees per minute.
At 4:00, the minute hand is pointing straight up (12 o'clock), and the hour hand is pointing at 4 o'clock.
To find the first time that the hands are perpendicular, we need to find the first time that the difference between the angle of the minute hand and the angle of the hour hand is 90 degrees.
We know that the minute hand moves 6 degrees per minute and the hour hand moves 0.5 degrees per minute, so for every minute that passes, the angle between the hands increases by 5.5 degrees.
Each consecutive hour has 30 degrees in between, so angle between 12 and 4 is
4×30 = 120°
So,
At 4:00 the angle between the hands is
120°
At x minutes after 4, the angle is
120 - 5.5x
So to solve for x when angle is 90°
120 - 5.5x = 90
x = 30/ 5.5
x = 5.45 minutes
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quadrilateral abcd , was dilated to produce the image, quadrilateral A′B′C′D′ . The length of the side between vertices A and B is 5 inches. What is the length of the side between the vertices A′ and B′? Enter your answer as a fraction in simplest form by filling in the boxes. k12
Answer:Dilation is the increase or decrease in the size of a figure by a factor k. If a figure is dilated to produce an image, they are similar, hence the ratio of the corresponding sides are proportional. The length of the side between the vertices A′ and B′ is 16/7 units. Find out more on transformation at: brainly.com/question/1548871 Advertisement
Step-by-step explanation:
Mario and Carlos, two brothers, play for the same basketball team. Here are the points they scored in 10 games:
The highest point scored is by Carlos with 19 points. Mario's highest was 15. so, Carlos scored 4 points more than Mario.
In the 7th game, Carlos scored 19 points which is the highest point of his game. In the 1st game, Mario scored 15 points which was the highest point he scored. Therefore, Carlos had the highest scoring game between the two of them. Carlos scored 4 points more than Mario did in his highest-scoring game. You can also construct a box plot for this question which will help you visualise this better. The box plot can be made by drawing a number line and marking the following points: minimum, first quartile, median, third quartile and maximum.
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The full question is:
Mario and Carlos, two brothers, play for the same basketball team. Here are the
points they scored in 10 games:
Game 1 2 3 4 5 6 7 8 9 10
Mario 15 X X 12 7 11 12 11 10 11
Carlos 10 X 9 12 15 X 19 11 12 12
(Xs mark games each one missed.) Which brother had the
highest-scoring game? How many more points did he score in
that game than the other brother did in his highest-scoring game?
12.00 gram sample of brass (alloy of copper and zinc), is reported to
contain 4.21 grams of zinc, report percent mass composition of zinc and
copper.
Answer:
The percent mass composition of zinc in the brass sample is:
(mass of zinc / total mass of sample) x 100%
(4.21 g / 12.00 g) x 100% = 35.08% zinc
So the brass sample contains 35.08% zinc by mass.
To find the percent mass composition of copper in the sample, you can use the information that the sample is made of copper and zinc only, so you can use the difference between 100% and the percent zinc:
100% - 35.08% = 64.92% copper
So the brass sample contains 64.92% copper by mass.
what is 6^-2 in a fraction form
Answer:
[tex]\frac{1}{36}[/tex]
Step-by-step explanation:
For negative exponents, you get the original number and make it into its reciprocal, and then whatever power it is to, is the power the bottom number is to, so you get:
[tex]6^{-2} = \frac{1}{6^{2} }[/tex]
Which simplifies to:
[tex]\frac{1}{36}[/tex]
So, [tex]6^{-2}[/tex] in fraction form, is [tex]\frac{1}{36}[/tex].
Hope this helped!
Please give me brainliest if possible!
Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS.
P(-2,1,0), Q(2,3,2), R(1,4,-1), S(3,6,1)
The volume of the parallelepiped with adjacent edges PQ, PR, and PS is V=4
Given three vectors, there is a product, called scalar triple product, that gives (the absolute value of it), the volume of the parallelepiped that has the three vectors as dimensions.
So
PQ=(-2-2,1-3,0-2)=(-4,-2,-2)
PR=(-2-1,-1-4,0+1)=(-3,-5,1)
PS=(-2-3,1-6,0-1)=(-5,-5,-1)
The scalar triple product is given by the determinant of the matrix (3×3)
that has in the rows the three components of the three vectors:
|-4 -2 -2|
|-3 -5 +1|
|-5 -5 -1|
and the determinant is given for example with the Laplace rule choosing the first row:
a(ad-bc)-b(ad-bc)+c(ad-bc)
=-4[(−5)(−1)−(1)(−5)]−(−2)[(−3)(−1)−(1)⋅(-5)]+(−2)[(−3)(−5)−(−5)(-5)]
=-4[5+5]+2[8]-2[-10]
-4(10)+16+20
=-40+36
V=-4
So the volume is: V=|−4|=4
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How many answers are there in an absolute value?
Answer: Just 1
Step-by-step explanation:
The absolute value is always positive, so there is just 1.
How many moles of KI are in 83 grams of KI?
Answer: 1 moles KI = 166.00277 gram using the molecular weight calculator and the molar mass of KI.
Step-by-step explanation
Answer was found by using the molecular weight calculator and the molar mass of KI.
Hope this helps :)
The table shows the inputs and corresponding outputs for the function f(x) = (1/8)(2)^x
Answer:
yes
Step-by-step explanation:
12. One number is one-third another. The lesser number is x. Write an expression that represents the greater number
Answer: The greater number is 3x
Step-by-step explanation:
As the problem states that one number is one third of another number, hence we can set up a proportion
x / (greater number) = 1/3
we can then cross multiply to find out the greater number.
x * 3 = greater number
so the greater number is 3x
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The Expression for greater number is x/3.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the lesser number be x.
So, the one number is x.
Now, the another number is one third of one number.
So, the another number is 1/3 (x)= x/3
Hence, the expression is x/3.
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during the school year, the 10 members of the chess club play a total of 900 games of chess during their practice matches. each member plays against every other member $n$ times. what is the value of $n$?
On solving the provided question, we can say that by permutation 900 games were actually played; N = 900/45 = 20
what is permutation?The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order.
The number of matches would be if each player faced each other once.
[tex]^{10}C_2[/tex] = 10! / 2! 8!
= 10 X 9 / 2 = 90/2
= 45
Given that 900 games were actually played,
N = 900/45 = 20
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer: 2m+4
Step-by-step explanation:
To simplify, we need to combine "like terms", which means terms that are similar in that it is either just a number or a coefficient and variable. In this case, 3m and -m are like terms, and -6, 2, and 8 are like terms.
Now, we can combine.
-6 + 3m + 2 -m + 8
-4 + 3m - m + 8
4 + 3m - m
4 + 2m (also can be written as 2m + 4)
hope this helps!
Find the area of the composite figure.
Area =
8 ft
12ft
Answer:
Step-by-step explanation: the area of the shape is the length times width or base times height. It's our length is 12 Are with this eight. And when you multiply 12 times eight, we get 96 feet squared, which is the area of our rectangle. I think its a rectangle.
In triangle efg angle e = 5x+6 angle f = 4x-6 and angle g = 5x-2 find angle g
Answer: In any triangle, the sum of the three angles is always 180 degrees. This is known as the triangle angle sum theorem.
So in triangle efg, we can use this theorem to find angle g in terms of x:
angle e + angle f + angle g = 180
5x+6 + 4x-6 + 5x-2 = 180
14x = 180 + 8
14x = 188
angle g = 5x-2 = 5(188/14) - 2 = 5(13.4285714) - 2 = 67.1428571 degrees
So angle g = 67.1428571 degrees
It's important to note that the values of x are the unknowns.
Step-by-step explanation:
Use the distributive property to remove the parentheses.
3y5(5-6y4)
Simplify your answer as much as possible.
Answer:
75y - 360y²
Step-by-step explanation:
ANSWER
3y × 5 (5-6y x 4)
Multiply the monomials
15y (5-24y)
Apply the Distributive Property
15y × 5-15y × 24y
Multiply the monomials
75y - 360y²
I hope it is useful to you.
Renee knows that there is 700 calories in 12 oz of chocolate. She wants to calculate how many calories would be in 30 oz of Chocolate. Below is her work. Did she calculate correctly? If not explain and correct her mistake.
Answer: 1750 calories
Step-by-step explanation:
[tex]\frac{700calories}{12oz} * 30 oz = 1750 calories[/tex]
can someone help me with this please
2.3 + r = 7.9
r = ?
Answer:
r = 5.6
Step-by-step explanation:
To solve this problem, we need to isolate r on one side of the equation. To do this, we need to subtract 2.3 from both sides, giving us:
2.3 + r = 7.9
r = 5.6
So, r = 5.6
Hope this helped!
Answer:
5.6
Step-by-step explanation:
2.3+r=7.9
r=7.9-2.3
r=5.6
