Which expressions describe the end behaviors of the function, f(x)= (3.25)^x+6, modeled by the graph? An exponential curve on a coordinate plane with horizontal x axis ranging from negative 10 to 10 in increments of 1. The vertical y axis ranges from negative 4 to 14 in increments of 1. The curve begins infinitely close to the line y equals 6 in the second quadrant. The curve increases through begin ordered pair 0 comma 7 end ordered pair. The curve passes through begin ordered pair 1 comma 9.25 end ordered pair and exits the first quadrant.
The expression that describe the end behavior of the expression f(x)= (3.25)^x + 6 is The curve begins infinitely close to the line y equals 6 in the second quadrant.
What is end behavior as used in math?The behavior of the graph of a function at its "ends" on the x-axis is referred to as the end behavior of a function, f.
For example, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞), the end behavior of a function explains the trend of the graph.
The graph of the function is attached and from the graph it shows that the graph continued to tend towards towards line y = 6
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2. H = 5 cm
W= 4 cm
L= 8 cm
V= L×W×H
=___×___×___
=______cm3
Answer:
160cm^3
Step-by-step explanation:
5 x 4 x 8 = 160cm^3
Write a function rule for
Answer:
x^2
Step-by-step explanation:
1^2=1
2^2=4
3^2=9
What is wrong with the equation? π 4 sec(θ) tan(θ) dθ = 4 sec(θ) π π/3 = −12 π/3 There is nothing wrong with the equation. f(θ) = 4 sec(θ) tan(θ) is not continuous on the interval [π/3, π] so FTC2 cannot be applied. f(θ) = 4 tan(θ) is not continuous on the interval [π/3, π] so FTC2 cannot be applied. f(θ) = 4 sec(θ) is not continuous at θ = π/3 so FTC2 cannot be applied. The lower limit is not equal to 0, so FTC2 cannot be applied.
The given equation is not defined in the interval \(\left[\dfrac{\pi}{3},\pi\right]\). Therefore, FTC2 is not applied and this can be determined by using the property of the trigonometric function.
Given :
Equation -- \(\rm \int^{\pi}_{\pi/3}7\;sec\theta\; tan\theta \;d\theta\)
The following steps can be used in order to determine what is wrong with the given equation:
Step 1 - Write the given equation.
\(\rm \int^{\pi}_{\pi/3}7\;sec\theta\; tan\theta \;d\theta\)
Step 2 - In the given equation \(\rm sec\theta\) is not defined at \(\theta = \pi/2\).
Step 3 - In the given equation \(\rm tan\theta\) is not defined at \(\theta = \pi/2\).
Step 4 - From the above steps, it can be concluded that the given equation is not defined in the interval \(\left[\dfrac{\pi}{3},\pi\right]\). Therefore, FTC2 is not applied.
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Hey guys.so Im a teacher and I want to know how I do this thing
Answer: you read the ? and u answer
Step-by-step explanation:
What is the exact value of tan(300º)?
Negative StartRoot 3 EndRoot
Negative StartFraction StartRoot 3 EndRoot Over 3 EndFraction
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
StartRoot 3 EndRoot
Answer:
Not sure what the right answer is but it is not D.
Step-by-step explanation:
Sorry! Peace and Love thou
The exact value of tan(300º)=tan (-60°) = -√3
We can solve this, using a calculator, but I would like you to understand this problem without the use of that.
This is trigonometry, So first we need to know the value of pi in trigonometry.
The value of pi is equal to 3.14 but, we need to take the value of pi in degrees.
This value is 180°.
Now, the following step is to replace this value with the expression:
tan (-180/3) = tan (-60°)
So the actual value we are looking for is tangent of 60°.
Tangent can be calculated using the expression with the sin and cosine so.
What is the tangent ratio?tan = sin/cos
so to get the value of tan 60°
tan 60° = sin 60° / cos 60°
The value of sin 60° = √3/2
While the value of cos 60° = 1/2
So replacing both values above,
We can get the value of tan 60°
tan 60° = (√3/2) / (1/2) both 2 gets cancel out so:
tan 60° = √3 / 1
tan 60° = √3
As we want tan(-60) the real value would be
tan (-60°) = -√3
So the answer would be option 1.
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Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student scored on the high school SAT math exam and their grade-point averages (GPAs) after students were in the Sante Fe program for 2 years.
Student A B C D E F G
SAT Score 421 375 585 693 608 392 418
GPA 2.93 2.87 3.03 3.42 3.66 2.91 2.12
Student H I J K L M
SAT Score 484 725 506 613 706 366
GPA 2.50 3.24 1.97 2.73 3.88 1.58
The least-squares regression equation that shows the best relationship between GPA and the SAT score is:_____.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
SAT SCORE :
421
375
585
693
608
392
418
484
725
506
613
706
366
GPA:
2.93
2.87
3.03
3.42
3.66
2.91
2.12
2.50
3.24
1.97
2.73
3.88
1.58
Using the online linear regression calculator ; the regression model obtained is :
ŷ = 0.00345X + 1.00301
0.00345 = slope or gradient
1.00301 = intercept ; where the regression line crosses the y axis
X = independent variable or predictor variable ; y = dependent variable or predicted variable
How many 11-card hands are possible with a 20-card deck?
There is only 1 possible 11-card hand that can be formed from a 20-card deck.
To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.
The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.
The formula for combinations is:
nCk = n! / (k!(n-k)!)
Where "!" denotes the factorial of a number.
Substituting the values into the formula:
20C11 = 20! / (11!(20-11)!)
Simplifying further:
20C11 = 20! / (11! * 9!)
Now, let's calculate the factorial values:
20! = 20 * 19 * 18 * ... * 2 * 1
11! = 11 * 10 * 9 * ... * 2 * 1
9! = 9 * 8 * 7 * ... * 2 * 1
By canceling out common terms in the numerator and denominator, we get:
20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)
Performing the multiplication:
20C11 = 39,916,800 / 39,916,800
Finally, the result simplifies to:
20C11 = 1
Consequently, with a 20-card deck, there is only one potential 11-card hand.
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22. Due to heavy floods in Bagmati province, thousand were rendered homeless 50 schools collectively decided to provide canvas for 1500 tents and share the whole expenditure equally. The lower part of each tent is cylindrical with base radius 2.8 and height 3.5m and the upper part is conical with the same base radius, but of height 2.1 m. If the canvas used to make the tents costs Rs 120 per m², find the amount shared by each school to set up the tents.
Answer: To calculate the amount of canvas needed for one tent, we need to calculate the total surface area of the tent. The tent consists of two parts: the cylindrical lower part and the conical upper part.
The surface area of the cylindrical part can be calculated as follows:
The base area of the cylinder = π × r² = π × 2.8² ≈ 24.61 m²
The lateral area of the cylinder = 2 × π × r × h = 2 × π × 2.8 × 3.5 ≈ 54.99 m²
So, the total surface area of the cylindrical part is the sum of the base area and lateral area, which is:
Total surface area of cylindrical part = 24.61 + 54.99 ≈ 79.60 m²
The surface area of the conical part can be calculated as follows:
The slant height of the cone = √(r² + h²) = √(2.8² + 2.1²) ≈ 3.44 m
The lateral area of the cone = π × r × slant height = π × 2.8 × 3.44 ≈ 24.12 m²
So, the total surface area of the conical part is the sum of the base area and lateral area, which is:
Total surface area of conical part = 24.61 + 24.12 ≈ 48.73 m²
Therefore, the total surface area of one tent is:
Total surface area of one tent = 79.60 + 48.73 ≈ 128.33 m²
To make 1500 tents, the total amount of canvas required is:
Total amount of canvas required = 1500 × 128.33 ≈ 192,495 m²
The cost of the canvas is given as Rs 120 per m². Therefore, the total cost of the canvas required to make the tents is:
Total cost of canvas = 192,495 × 120 ≈ Rs 23,099,400
As 50 schools have decided to share the expenditure equally, the amount shared by each school will be:
Amount shared by each school = Total cost of canvas / 50
Amount shared by each school = 23,099,400 / 50
Amount shared by each school ≈ Rs 461,988
Therefore, each school will have to contribute approximately Rs 461,988 to set up the tents.
Step-by-step explanation:
The sum of two numbers is 143 and their difference is 7. What are the numbers?
Answer:
The numbers are 75,68
Step-by-step explanation:
Let the number be a ,b
The sum of two numbers is 143
⇒ x + y = 143 -------------(I)
Their difference is 7
⇒ x - y = 7 --------------(II)
Add the equation (I) & (II) and thus y will be eliminated and we can find the value of x
(I) x + y = 143
(II) x - y = 7 {Now add}
2x = 150
x = 150 ÷ 2
x = 75
Substitue x = 75 in equaion (I)
75 + y =143
y = 143 - 75
y = 68
question below. no links please!
Answer:
3
Step-by-step explanation:
colinear points mean along the same line
Line m has 3 points labeled
Line n has 3 points labeled
Each line has only 3 points labeled
This is an edit from my previous answer.
Initially I wrote that there were 5 collinear points. My line of reasoning was that A,B,C are on one line (making them collinear), and points D,B,E are on another line (another set of collinear points).
However, if the question is asking how many collinear points are on one particular line, then the answer would be 3 collinear points. You can focus on either line and it's the same number of collinear points.
Definition: The term "collinear" means all points fall on the same straight line.
Solve for x. I attached the question. Pls help me :(
Answer:
x = 16°
Step-by-step explanation:
What we know:
∠JML = 47°
∠JKL = (7x + 21)°
∠JML is an inscribed angle
∠JKL is an inscribed angle
Inscribed angles are half of the value of their intercepted arc
So if m∠JML = 47° then mArc JL is double that or 94°
And ∠JKL is intercepted by Arc JML which is the rest of the circle not intercepted by ∠JML so
mArc JL + Arc JML = 360°
94 + Arc JML = 360
Subtract 94 from both sides to isolate Arc JML
Arc JML = 266°
So if Arc JML = 266° then it's intercepted inscribed angle is half of that.
Arc JML ÷ 2 = ∠JKL
266 ÷ 2 = ∠JKL
133 °= ∠JKL
Now we can use this value and set it equal to the expression to find the value of x
(7x + 21) = 133
Subtract 21 from both sides to isolate the x
7x = 112
Divide both sides by 7
x = 16
Dan spends 1/4 of his wages on rent and 2/3 on food. If he makes £264 per week, how much money does he have left?
Answer:
Step-by-step explanation:
¼ + ⅔ = 11/12
1 - 11/12 = 1/12
He has 1/12 of £264 = £22 left
URGENT!!! due in 20 minutes GRAPH TRANSLATIONS 2 questions. Will mark brainliest!!!!
Answer:
Function f is translated to the right 2 units, and then up 1 unit to obtain function g.
To see this, note that g(x) = (x+1)³ - 2 = (x-(-1))³ - 2. Comparing this to f(x) = (x-2)³, we see that replacing x with x+3 in f(x) gives g(x) = (x+3-2)³ = (x+1)³, so this transformation moves the graph of f(x) three units to the left. Then, adding the constant -2 to f(x) translates the graph down 2 units. Finally, adding the constant 2 to the result of the previous step translates the graph up 2 units, so the graph of g(x) is obtained by first translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:
Function f is translated to the right 2 units.
Function f is translated up 1 unit.
Function f is translated to the right 2 units, and then up 1 unit to obtain function g.
To see this, note that g(x) = √x - 2 + 1 = f(x-2) + 1. This means that the graph of g(x) is obtained by translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:
Function f is translated to the right 2 units.
Function f is translated up 1 unit.
Step-by-step explanation:
‼️‼️‼️HELP HELP HELP‼️‼️‼️‼️‼️HELP HELP HELP‼️‼️‼️
Answer:
y=2x+5
Step-by-step explanation:
first find the gradient which is change in y/ change in x
so gradient= (9--1)/(2--3) = 10/5 = 2
there's only one answer with a gradient of 2 which is a but if you wanted to find the intercept you would do this
y=2x + c
put one pair of coordinates into the equation (I've picked (2,9) but it doesn't matter which)
9=2*2 + c
9=4 + c
c = 5
therefore the equation must be y=2x + 5
hope that helps
Find the number that makes the ratio equivalent to 1:3.
4:_____
12 or 13 or 9 or 11
N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
Answer:
Step-by-step explanation:
Question
N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
Frodo made a down payment of $4,800 toward the purchase of a new ring. To pay the balance of the purchase price, he has secured a loan from Gimli at the rate of 7.2%/year compounded monthly. Under the terms of his finance agreement, he is required to make payments of $360/month for 42 months. What is the cash price of the ring?
The cash price of the ring was $ 16,560.80.
Knowing the down payment, the interest rate and the monthly payments, to determine what is the cash price of the ring, the following calculation must be performed, applying the compound interest formula:
Initial value x (1 + interest rate / compounding times) ^ (years x compounding times) = Compound interest X x (1 + 0.072 / 12) ^ 3.5x12 = 360 x 42 X x 1.006 ^ 42 = 15,120 X x 1.2856 = 15,120 X = 15,120 / 1.2856 X = 11,760.80 11,760.80 + 4,800 = Cash price 16,560.80 = Cash priceTherefore, the cash price of the ring was $ 16,560.80.
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what is the slope-intercerpt form of the equation -8x+2y=4
Answer:
y= 4x +2
Step-by-step explanation:
Slope-intercept form is y= mx +c.
Thus, rewrite the equation to make y the subject of formula.
-8x +2y= 4
Let's simplify the equation first by dividing both sides by 2.
-4x +y= 2
+4x on both sides:
y= 4x +2
What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.
To solve the given system of equations:
Equation 1: 8x + 9y = -36
Equation 2: x + 7y = 1
We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:
From Equation 2, we can solve for x:
x = 1 - 7y
Substituting this value of x into Equation 1:
8(1 - 7y) + 9y = -36
8 - 56y + 9y = -36
-47y = -44
y = 44/47
Substituting the value of y back into Equation 2 to find x:
x + 7(44/47) = 1
x + 308/47 = 1
x = 1 - 308/47
x = (47 - 308)/47
x = -261/47
Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).
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Complete the solution of the equation. Find the
value of y when x equals 15.
-x + 2y = -1
Use the Chain Rule to differentiate the function. You may need to apply the rule more than once. f(x) = (4x3 - (8x + 9)2) O f'(x) = 7[4x3 - (8x + 9)216[12x2 - 16(8x + 9)] O f'(x) = 7[4x3 - (8x + 9)21][12x1 - 16(8x + 9)] O f'(x) = 7[4x3 - (8x + 9)216[12x2 -2(8x + 9)] O f'(x) = 7[4x3 - (8x + 9)21][12x1 - 2(8x + 9)]
We will express this function as 3 function nested:
\(\begin{gathered} f(x)=\lbrack g(x)\rbrack^7 \\ g(x)=4x^3-\lbrack h(x)\rbrack^2 \\ h(x)=8x+9 \end{gathered}\)Then, the chain rule can be written as:
\(\frac{df}{dx}=\frac{df}{dg}\cdot\frac{dg}{dh}\cdot\frac{dh}{dx}\)In this case, as g(x) have two terms, and only one of them is referred to h(x), we can solve itlike that:
\(\frac{dh}{dx}=8\cdot\frac{d(x)}{dx}+9\frac{d(1)}{dx}=8\cdot1+0=8\)Then, g'(x) is:
\(\begin{gathered} \frac{dg}{dx}=4(3x^2)-2h(x)\cdot\frac{dh}{dx}=12x^2-2(8x+9)\cdot8 \\ \frac{dg}{dx}=12x^2-16\cdot8x-16\cdot9 \\ \frac{dg}{dx}=12x^2-128x-144 \end{gathered}\)\(\begin{gathered} \frac{df}{dx}=\frac{df}{dg}\cdot\frac{dg}{dx}=(7\cdot g(x)^6)\cdot(12x^2-128x-144) \\ \frac{df}{dx}=7\cdot\lbrack4x^3-(8x+9)^2\rbrack6\cdot(12x^2-128x-144) \\ \frac{df}{dx}=42\cdot\lbrack4x^3-(8x+9)^2\rbrack\cdot4\cdot(3x^2-32x-36) \\ \frac{df}{dx}=168\lbrack4x^3-(8x+9)^2\rbrack\cdot(3x^2-32x-36) \end{gathered}\)Which statement about this mapping is true?
The mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.
The mapping represents y as a function of x, because each x-value is related to exactly one y-value.
The mapping does not represent y as a function of x, because there are more x-values than related y-values.
The mapping represents y as a function of x, because each y-value is related to exactly one x-value.
Answer:
The mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.
Step-by-step explanation:
See it's not a function
Because In a function every c value has a unique y value.Here there is 4 values for one x .So it's a relationThe statement which is true about this mapping is the mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
WE have been given a domain figure.
We can see that the input values has more than one output values.
therefore, it cannot be a function Because in a function every input value has a unique y value.
Here there is 4 values for one x input.
x = 3
y = 2, 4, 5, 6
So it's a relation
Hence, the statement which is true about this mapping is the mapping does not represent y as a function of x, because 4 y-values are related to 1 x-value.
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What is the definition of a line?
Step-by-step explanation:
In geometry, a line can be defined as a straight one- dimensional figure that has no thickness and extends endlessly in both directions. It is often described as the shortest distance between any two points.
What is the prime factorization of 72?
0.2² x 32
O 22 x 33
O 23 x 32
O 23 x 33
Answer:
\(2^3\times 3^2\)
Step-by-step explanation:
\(72\\\\72\:\mathrm{divides\:by}\:2\quad \:72=36\times\:2\\\\=2\times\:36\\\\36\:\mathrm{divides\:by}\:2\quad \:36=18\times\:2\\\\=2\times\:2\times\:18\\\\18\:\mathrm{divides\:by}\:2\quad \:18=9\times\:2\\\\=2\times\:2\times\:2\times\:9\\\\9\:\mathrm{divides\:by}\:3\quad \:9=3\times\:3\\\\=2\times\:2\times\:2\times\:3\times\:3\\\\2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}\\\\=2\times\:2\times\:2\times\:3\times\:3\\\\=2^3\times 3^2\)
Answer:
So, the prime factorisation of 72 are 2 × 2 × 2 × 3 × 3 or 23 × 32, where 2 and 3 are the prime numbers.
Step-by-step explanation:
HELP PLS ASAPPP!!!
algebra problem; solving linear inequalities !!! :)
Answer: x = -3/2
Step-by-step explanation:
Which expressions are ways to write the number 5,200,000? There may be more than one correct answer.
Fifty-two million
Five million, two hundred thousand
5.2 million
52 million
5.2 billion
5,200
Five million two hundred thousand stands for expressions are ways to write the number 5,200,000.
What do you call numbers?
Numerals, which are symbols that are more commonly used to symbolize specific numbers, include "5", which stands for the number five. Knowing the word form of the numbers from 1 to 10 makes it easier to read and write the numbers. The first ten natural numbers are written as follows: 1, 2, 3, 3, 4, 5, 5, 6, 6, 7, 8, 8, 9, and 10, which is their word form.
Algebra, number theory, geometry, and arithmetic are the four main subfields of mathematics. The intriguing characteristics that exist between numbers are known as number ideas. These concepts facilitate our use of computations and problem-solving techniques.
5,200,000 - five million two hundred thousand stands for 5200000.
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Evaluate the equation: 7.15e = 64.35
Answer:
Simplifying
7.15e = 64.35
Solving
7.15e = 64.35
Solving for variable 'e'.
Move all terms containing e to the left, all other terms to the right.
Divide each side by '7.15'.
e = 9
Simplifying
e = 9
Answer:9
Step-by-step explanation:
help help help help help
Answer:
The answer is 20
Step-by-step explanation:
d=√ (-2-10)^2+(-6-10)^2
d=√ (-12)^2+(-16)^2
d=√ 144+256
d=20
netry B Unit 5 Test 2023 Unit Test: Unit 5 Test 2023: Geometry Applications The maximum altitude currently allowed by drones is 400 feet, which is approximately 0.12 km. This is to ensure that drones do not interfere with other aircraft or cause safety hazards. If cameras in a drone are set to film toward the horizon, what is the greatest distance that can be filmed, given that the radius of the Earth is approximately 6378 km? Round your answer to the nearest kilometer.
The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.
Now, For the greatest distance that can be filmed by a drone with a maximum altitude of 0.12 km, we can use the Pythagorean theorem.
Let's a right triangle with one leg being the radius of the Earth 6378 km and the other leg being the maximum altitude of the drone 0.12 km.
Hence, The hypotenuse of this triangle represents the line of sight from the drone's camera to the horizon.
Hence, By Using the Pythagorean theorem, we can solve for the length of the hypotenuse:
h² = 6378² + 0.12²
h = √40684000.145
h = 6374.5 km
Therefore, The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.
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