Based on this model, the number of pounds of oranges which the tree is expected to harvest in 4 years is equal to 332 pounds.
What is an exponential function?In Mathematics, an exponential function can be modeled by using the following mathematical expression:
f(x) = a(b)^x
Where:
a represent the base value, vertical intercept, or y-intercept.x represent time.b represent the slope or rate of change.Based on the exponential function, the number of pounds of oranges which the tree is expected to harvest in 4 years to the nearest whole pound can be calculated as follows;
w(t) = 75(1.45)^t
w(t) = 75(1.45)^4
w(t) = 331.54 ≈ 332 pounds.
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Multiply express the product in simplest form 7/4 times 12
Answer: The answer is 21
Step-by-step explanation: Reduce the numbers with the greatest common factor 4. So it will be 7x3=21
need some help please
Answer:
Is undefined slope
have a nice day!
Answer:
Omg I am sooo sorry Chloe I never forgot you I just got in a lot of trouble and I didn’t want you to be put through that
You have no idea how much I miss you please respond when you see this
Can someone pls show how to do this is with explanation
Answer:
0Step-by-step explanation:
As when,
0 divided by '-1'
= 0 ÷ '-1'
= 0
So, 0 is the required integer
Two less than seven times a number c is written as
That's your answer .
What is the range of f(x) = 3* + 9?
{yly<9}
{yly > 9}
{yly > 3}
{yly <3}
Answer:
{y l y > 9}
Step-by-step explanation:
Given function:
\(f(x)=3^x+9\)
The given function is an exponential function.
The parent function is the basic equation before the function has undergone any transformation(s). Therefore, the parent function of the given function is:
\(f(x) = 3^x\)The range of the parent function is restricted to positive real numbers as it never takes a negative value. Furthermore, it never reaches zero (although it approaches y = 0 as x → -∞). Therefore, the range of the parent function is {y | y > 0}.
As the given function has been translated up 9 units (by the addition of "+ 9"), the range of the given function is translated 9 units up. So as x approaches negative infinity, y approaches (but never reaches) 9. Therefore, the range of the given function is:
{y | y > 9}On Christmas, a shopkeeper needs 820 candles. If each packet contains
20 candles, how many packets he should buy?
Answer:
41
Step-by-step explanation:
If the shopkeeper needs 820 candles, and each packet has 20 candles, 820/20 = 41 packets.
Answer:
Step-by-step explanation:
if the shopkeeper needs 820 candles,
each packet has 20 candles
820/20=41
he needs to buy 41 packets
40 is what percent of 25?
Step-by-step explanation:
40/25*100 = 40*4 = 160%
Factor the answer
5u-15
Answer:
5(u - 3)
Step-by-step explanation:
5u - 15
5(u - 3)
Answer:
5 (u - 3)
Step-by-step explanation:
Please help
Solve the following equation, and check your solution.
Show all of your work.
17+ n/5 = 33
Answer:
n = 80
Step-by-step explanation:
Plug in 80 for n to check:
17 + 80/5 = ?
17 + 16 = 33
Find the lcm of ÷ 16a^4+4a^2+169,8a^3+2a(2a+13)+16a^2
Answer:
Step-by-step explanation:
Hope this helps u !!
The LCM of 2a(4a² + 10a + 13)(4a² + 13 - 10a).
What is Least Common Multiple?Least Common Multiple, often known as the Lowest Common Multiple, is denoted by the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It can also be computed using two or more numbers.
The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers.
We have,
16\(a^4\) + 4a² + 169 and 8a³ +2a(2a + 13) + 16a²
First, 16\(a^4\) + 4a² + 169
= (4a²)² + (2a)² + (13)²
= (4a²)² + 2 . 4a² . 13 + (13)² + 4a² + 104a²
= (4a² + 13)² - (10a)²
= (4a + 13 - 10a) (4a + 13 + 10a)
= (13 - 6a)(13 + 14a)
Second, 8a³ +2a(2a + 13) + 16a²
= 8a³ + 4a² + 26a + 16a²
= 8a³ + 20a² + 26a
= 2a(4a² + 10a + 13)
So, the LCM is
= 2a(4a² + 10a + 13)(4a² + 13 - 10a)
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NEED HELP AGAIN
Michele is hiking. The parking lot is at an elevation of 300 ft. She stops for a picnic at the summit, where the elevation is 2238 ft. How much vertical elevation has she covered during the hike?
2238 - 300 = 1938 ft is your answer
5 Work out the volume of this prism. Write your answer
a in cm³
b in mm³.
20cm
120cm
30cm
10 cm
Answer:
a_48000cm^3
b_48000000mm^3
Step-by-step explanation:
first of all, let's find the base area:
Ab=((b+B)h)/2=((10cm+30cm)20cm)/2=400cm^2
then, to find the volume, we need to multiplicate the base area to the height of the prism:
V=Ab*H=400cm^2*120cm=48000cm^3=48000000mm^3
The quotient of a number and -5 has a result of 2. What is the number?
n =
Plz help
Answer:
n / -5 = 2
n = - 10
On average, Nathaniel drinks 4/5
of a 10-ounce glass of water in 2 2/5 hours. How many glasses of water does he drink in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Using simple unitary method and expanding the provided mixed fractions, The answer is 1/3 glass of water in one hour.
What is unitary method?The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
What do you mean by fractions?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
4/5 of 10-ounce glass is 8 ounce of water.
\(2\frac{2}{5} \\=\frac {12}{5}\\=2.4\)
8 ounce of water in 2.4 hours.
8/2.4 ounce of water in 1 hour.
3.33 ounce of water in an hour.
1 glass consist of 10 ounce of water.
1/10 glass consist of 1 ounce of water.
3.33/10 glass consist of 3.33 ounce of water.
1/3 is the final answer.
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which of the following is an area of mathematics that studies how competing parties interact
An area of mathematics that studies how competing parties interact is known as "game theory."
Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.
Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.
The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.
Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.
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As a town gets smaller, the population of its high school decreases by 7% each year. The senior class has 320 students now. In how many years will it have about 100 students? Write
an equation. Then solve the equation without graphing.
Write an equation to represent this situation. Let n be the number of years before the class will have 100 students.
(Type an equation using n as the vanable. Use integers or decimals for any numbers in the equation)
Help again please
Therefore, in about 15 years and 2 months, the senior class will have about 100 students.
What is equation?An equation is a statement that expresses the equality of two mathematical expressions using mathematical symbols such as variables, numbers, and mathematical operations. The equality is represented by an equal sign "=" between the two expressions. Equations are used to represent mathematical relationships and solve problems in various fields such as physics, chemistry, engineering, and economics.
Given by the question.
Let P be the initial population of the senior class in the high school, and r be the rate of decrease in population per year (in decimal form).
Then, we can write the following equation to represent the situation:
P\((1-r)^{n}\) = 100
We know that the current population of the senior class is 320, so we can substitute these values into the equation:
320\((1-0.07)^{n}\) = 100
Simplifying the equation, we get:
\(0.93^{n}\) = 0.3125
Taking the natural logarithm of both sides, we get:
n ln (0.93) = ln (0.3125)
Dividing both sides by ln (0.93), we get:
n = ln (0.3125) / ln (0.93)
Using a calculator, we find that n is approximately equal to 15.21 years.
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what are the partial products to 32 x 405?
(35 points)
Answer:
12960
Step-by-step explanation:
(30+2)*405
405*30 + 405*2
12150+810
12960
Hope this helps plz hit the crown :D
Solve for x.
9(x + 1) = 25 + x
x = 2
x = 3
x = 4
x = 5
Answer:
x = 2
Give me the brainlest, please?
Step-by-step explanation:
Answer: x=2
Step-by-step explanation:
9(x+1)=25+x (Distribute the 9)
9x+9=25+x (Work both sides to isolate the variable)
-9 -9
9x=16+x
-x -x
8x=16
/8 /8
x=2
can someone please help???
Answer:
2/3
Step-by-step explanation:
.that's the answer
If M = 5(x + 1) and N = (6x - 3) and M- N = 10, determine the values of M and N.
The value of M and N from the given expression is -10 and -21 respectively
Sum of functionsSum of functions is the addition of expression. Given the expression below;
M = 5(x + 1) and;
N = (6x - 3)
Take the difference of the expressions
M - N = 10
Substitute
5(x+1) - (6x-2) = 10
Expand the expression to have:
5x + 5 -6x + 2 = 10
5x - 6x + 5 + 2 = 10
-x + 7 = 10
-x = 10 - 7
-x = 3
x = -3
Determine the value of M
M = 5x + 5
M = 5(-3) + 5
M = -15 + 5
M = -10
Determine the value of N
N = 6x - 3
N = 6(-3) - 3
N = -18 - 3
N = -21
Hence the value of M and N from the given expression is -10 and -21 respectively
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Evaluate the function at the given value of the independent variables. Simplify the results. g(x,y)=∫yx(2t−5)dt;g(6,0).
The function g(x, y) = ∫yx(2t - 5)dt evaluates to g(6, 0) = 0 when x = 6 and y = 0.
To evaluate the function g(x, y) = ∫yx(2t - 5)dt at the given values of the independent variables x = 6 and y = 0, we need to substitute these values into the integral expression and perform the integration.
However, before we proceed, it's important to note that the given function contains an indefinite integral (∫) with respect to the variable t. The presence of the integration symbol implies that the function g(x, y) is actually an antiderivative of the integrand yx(2t - 5) with respect to t.
Let's proceed with the evaluation.
g(x, y) = ∫yx(2t - 5)dt
Substituting x = 6 and y = 0 into the integrand, we have:
g(6, 0) = ∫0(6)(2t - 5)dt
Since y = 0, the integrand simplifies to:
g(6, 0) = ∫0(0)dt
Here, we can see that the integrand is zero. Therefore, the integral evaluates to zero as well. This means that the value of the function g(6, 0) is zero.
Hence, g(6, 0) = 0.
In this case, the given function represents the definite integral of the function yx(2t - 5) with respect to t, where the lower limit of integration is y and the upper limit is x. However, since y = 0, the integral reduces to evaluating the function over an interval with zero width, resulting in an output of zero.It's important to note that the evaluation of the function g(6, 0) depends on the specific values assigned to x and y. If the value of y were non-zero, the result would differ.
In summary, the function g(x, y) = ∫yx(2t - 5)dt evaluates to g(6, 0) = 0 when x = 6 and y = 0.
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find a polynomial of degree n that has the given zero(s). (there are many correct answers.) x = −9; n = 2
The correct answer is a polynomial of degree 2 with x = -9 as a zero. There are infinitely many correct answers because we can multiply this polynomial by any nonzero constant and still have a polynomial with the same zero.
To find a polynomial of degree n with a given zero, we can use the fact that if x = a is a zero of a polynomial, then (x - a) is a factor of the polynomial.
In this case, the given zero is x = -9. Since the degree of the polynomial is n = 2, we can write the polynomial as:
\(P(x) = (x - (-9))^2\)
Expanding this expression, we get:
\(P(x) = (x + 9)^2\)
This is a polynomial of degree 2 with x = -9 as a zero. There are infinitely many correct answers because we can multiply this polynomial by any nonzero constant and still have a polynomial with the same zero.
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when placed on a hexagon, the closer the holland interest areas are to one another, the more similar are their of the following is important when gathering family background information?
When gathering family background information, it is important to consider several factors. Firstly, it is important to gather information about the family's cultural background, including any traditions, beliefs, or practices that may have been passed down from previous generations. This can help provide context for the family's experiences and may shed light on the values and priorities that are important to them.
Additionally, it is important to gather information about the family's history and ancestry, including any notable events or individuals that may have played a significant role in shaping the family's identity. This can help to provide a deeper understanding of the family's roots and may help to explain certain patterns or behaviors that are present within the family.
Finally, it is important to gather information about the family's current situation, including any challenges or struggles that they may be facing, as well as any strengths or resources that they may have to draw upon. This can help to identify areas of support or intervention that may be necessary to help the family thrive and succeed.
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A 2-column table with 9 rows. The first column is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 6, negative 2, 0, 4, 4, 0, negative 2, negative 6, negative 10. Based on the table, which best predicts the end behavior of the graph of f(x)? As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞. As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞. As x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞. As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞.
Answer:
As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞Step-by-step explanation:
First, you need to graph all given points in the table, that way you will be able to determine the end behavior.
Remember, the end behavior of a function is the behavior of f(x) as x approaches to positive infinity and negative infinity.
So, based in the graph, we can say that as x approaches to positive infinity, f(x) approaches to negative infinity, and as x approaches to negative infinity, f(x) approaches to negative inifinity. In other words, in either case, f(x) always approaches to negative infinity.
Therefore, the right answer is the last choice.
Answer:
As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞
Step-by-step explanation:
Just took the test!!!
8. Jake wants to buy the foam gymnastic block shown. If the
foam used to make the gymnastic block costs $24.99 per
cubic foot, what is the cost of this block, to the nearest
dollar?
After answering the provided question, we can conclude that Therefore, cuboid the cost of the gymnastic block is $225.
what is cuboid?A cuboid is a solid or three-dimensional shape in geometry. A cuboid is a convex polyhedron with 8 coordinates, 12 sides, but rather 6 rectangular faces. A cuboid is another name for it. A box is a cuboid because it has six square faces. Objects unearthed in boxes include bricks and books. The following are the primary distinctions between cubic and cubic: In contrast to a cube's rectangular faces, the faces of a capsule are perfectly straight and equal in size. But even though the structures of both the cube and cuboid are similar, they differ significantly in terms of side length, horizontal, and area.
the volume of the block is:
Volume = length x width x height
Volume = 2 ft x 3 ft x 1.5 ft
Volume = 9 cubic feet
Now, to find the cost of the block, we can multiply its volume by the cost of foam per cubic foot:
Cost of block = Volume x Cost per cubic foot
Cost of block = 9 cubic feet x $24.99 per cubic foot
Cost of block = $224.91
Therefore, the cost of the gymnastic block is $225.
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Jill has a piece of aluminum. The aluminum hass a mass of 5.4g and a volume of 2cm^3. What is the density of the aluminum?
mass (m) = 5.4g
Volume (V) = 2 cm^3
To find the density (p), we have to apply the next formula:
p= m/v
Replacing:
p´= 5.4/2 = 2.7 g/cm^3
Wrong and silly answer will be reported .
I HOPE IT WILL HELP YOU.
Thank you.
The graph below shows the #tal distance, in miles, traveled by a towboat over time,
in hours.
AVERAGE SPEED
OF TOWBOAT
21.00
Total Distance (miles)
15.75
10.50
5.25
0 1 2 3 4
Time (hours)
Which statement best describes the meaning of the coordinates of point Fon
the graph?
It shows the unit rate of the graph in hours per mile
Answer:
it shows the unit rate of the graph in miles per hour.
Step-by-step explanation:
Answer:
It shows the unit rate of the graph in miles per hour
Step-by-step explanation:
...
El reto consiste en convertir la igualdad en verdadera, haciendo 1 movimiento y luego, otra opción, haciendo dos movimientos. (no está permitido retirar fósforos)
12
Step-by-step explanation:
9+3 =12
pls make me brainiest
Step-by-step explanation:
Un movimiento:1 opción:
Del primer 9:
retirar el fósforo de la parte superior de tal manera que este nueve se convierte en 5 y colocarlo en la parte inferior del segundo nueve de tal manera que se convierte en 8:
5 + 3 = 8
2 opción:
en el primer nueve trasladar el fósforo vertical de la parte superior derecha a la parte inferior izquierda de tal manera que este se convierte en 6:
6 + 3 = 9
Dos movimientos:Del primer nueve retirar el fósforo vertical superior izquierdo de tal manera que este se convierte en 3 y ese fósforo colocarlo de forma vertical en la parte inferior izquierda del 3 y recorrer de este 3 el fósforo vertical superior derecho hacia la izquierda de tal manera que se convierte en 6:
3 + 6 = 9
Sam's Mom makes sandwiches, s, for lunch everyday for his brothers and sisters. There are 15 slices of bread, b, left in the packet. Identify the independent and dependent variables in this scenario.
Answer:
b= independent S=dependent