Formula: (cost of ticket + cost of popcorn) * # of friends = total cost
Which would give us (8 + x) * 5 = 62.5
Solve for x.
8 + x = 12.5 {divide each side by 5}
x = 12.5 - 8
x = 4.5
Each small bag of popcorn costs $4.50.
math su.cks......................................................................................................................................................................................................................... on suc.kers! i like bad jokes.
Answer:
Step-by-step explanation:
Ok
Answer:
what
Step-by-step explanation:
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Which sequence of transformations will map figure H onto figure H'
-8
7
-6
-5
-4-
-3
-2
1
-5-4-3-2-10 1 2 3 4 5 6 7 8 9 10 11 12 13
-1
-2
3 4
587
H
-9
-10
H'
O
Rotation of 180° about the origin, translation of (x + 10, y − 2)
reflection across x = -6
Rotation of 180° about the origin, translation of (x + 10, y − 2).
reflection across y = -6
Rotation of 180° about the origin, translation of (x - 10, y + 2)
reflection across y = -6
Rotation of 180° about the origin, translation of (x - 10, y + 2)
reflection across x = -6
The sequence of transformations that will map figure H onto figure H' is: Option B: the rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across y = −6.
How to find the sequence of transformation?We are given the coordinates of the hexagon as:
Points of Hexagon H → (2,2), (2,6), (6,7), (8,6), (8,2), (6,1)
Points of Hexagon H' → (2,-8), (2,-4), (4,-3), (8,-4), (8,-8), (4,-9)
The steps that can be used to transform the hexagon H into hexagon H' are:
Step 1 - Translate the hexagon in the positive x-axis direction by a factor of 10.
Step 2 - Translate the graph obtained in the above step by factor 2 in the downward direction.
Step 3 - Rotate the graph obtained in the above step 180 degrees about the origin.
Step 4 - Then take the reflection of the graph obtained in the above step about y = -6. The resulting graph shows the graph of Hexagon H'.
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help me with this please
The values of a, b, c are 152°, 28°, 152° respectively.
What are angle at a point?Angles around a point describes the sum of angles that can be arranged together so that they form a full turn.
The sum of angles at a point will give 360°.
This means that a + b + c + 28 = 360
c +28 = 180° ( angle on a straight line)
c = 180 -28
c = 152°
c = a( alternate angles are equal)
therefore the value of a = 152°
b = 28( alternate angles are equal)
therefore the value of b is 28
therefore the values of a, b, c are 152°, 28°, 152° respectively
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What is the image of (8, 2) after R-90°?*
Answer:
(-2, 8)
Step-by-step explanation:
When rotating an image 90 degrees, x and y switch places and te new x coordinate becomes the opposite sign.
(x,y) -> (-y, x)
so
(8,2) -> (-2,8)
can you help me find slope and y intercept
Answer:
it's right in front of you actually. the y intercept is negative 1/7 and the slope is 1/7
Answer:
your slope 1/7x and your y-int is -1/7. Hope this helps!
Step-by-step explanation:
If 33% of a man monthly salary is Birr of 6600, what is his total monthly salary? A. 23,200 B. 20,000 C. 9,850 D. 16,450
Answer:
The correct answer is B. 20,000
Step-by-step explanation:
To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."
According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:
0.33x = 6600
To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:
x = 6600 / 0.33
Evaluating the right side of the equation gives:
x ≈ 20,000
Therefore, the man's total monthly salary is approximately Birr 20,000.
Hence, the correct answer is B. 20,000.
The diameter of the base of the cone is 20 inches the height is 21 inches what is the volume of the cone Xpress to answer in terms of pie and again rounded to the nearest cute pic inches
The volume of the cone is approximately700π/3 inches³.
What exactly is a cone?
A cone is a three-dimensional geometric shape that tapers smoothly from a flat, circular base to a point called the apex or vertex. The base can be any shape, but a circular base is the most common. A cone has a curved surface that extends from the base to the apex, and the distance from the apex to the base along a straight line passing through the center of the base is called the height of the cone.
Now,
As the Volume of cone is given by:
V = (1/3)πr²h
where r is the radius of the base, h is the height, and π is the mathematical constant pi.
In this case, we know that the diameter of the base is 20 inches, which means that the radius is 10 inches. We also know that the height is 21 inches. Therefore, we can plug in these values into the formula to find the volume:
V = (1/3)π(10²)(21) = (1/3)π(100)(21) = 700π/3 inches
Therefore, the volume of the cone is approximately700π/3 inches³, expressed in terms of pi and rounded to the nearest cubic inch.
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One jar has 13 pennies, a second jar has 7 pennies, a 3rd jar has 10 pennies, and a 4th jar has 30 pennies. On average how many pennies does each
jar have?
Answer:
60
Step-by-step explanation:
13+7=20 20=10=30 30+30= 60
Hope this helps!
Answer:15
Step-by-step explanation:
diseases tend to spread according to the exponential growth model. in the early days of aids, the growth factor (i.e. common ratio; growth multiplier) was around 1.9. in 1983, about 1700 people in the u.s. died of aids. if the trend had continued unchecked, how many people would have died from aids in 2005?
The number of people died from aids in U.S. in 2005 are 2,30,68,96,671
Given, diseases tend to spread according to the exponential growth model.
In the early days of aids, the growth factor (i.e. common ratio; growth multiplier) was around 1.9.
In 1983, about 1700 people in the U.S. died of aids.
we have to find the number of people died from aids in 2005.
Let the exponential function, be
P(x) = AB^x
where, A is the initial population of people died of aids in U.S.
B is the growth factor of aids in U.S.
as, B = 1.9
In 1983, x = 0
P(0) = AB^0
1700 = A
Now, P(x) = 1700(1.9)^x
and the number of years from 1983 to 2005 are, 22 years
The number of people died from aids in 2005 be,
P(22) = 1700(1.9)^22
P(22) = 2,30,68,96,671
So, 2,30,68,96,671 people died from aids in 2005.
Hence, 2,30,68,96,671 people died from aids in 2005.
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The density of a certain material is such that it weighs 4 kilograms per cup of volume. Express this density in pounds per liter. Round your answer to the nearest tenth. *Note: you must use these exact conversion factors to get this question right. Weight / mass 1 pound (b) = 16 ounces (oz) 1 ton (ton) = 2000 pounds (lb) 1 gram (g) = 1000 milligrams (mg) 1 kilogram (kg) = 1000 grams (B) 1ounce (oz) = 28.35 grams (g) Volume 1 cup (cup) = 8 fluid ounces (l oz) 1 pint (pt) = 2 cups (cups) 1quart (qt) = 2 pints (pt) 1 gallon (gal) = 4 quarts (qt) 1 cubic foot (ft) = 7.481 gallons (gal) 1 pound (lb) = 0.454 kilograms (kg) 1 líter (L) = 1000 milliliters (mL) 1 cubic meter (m) = 100o liters (L) 1 gallon (gal) = 3.785 liters (L) 1 fluid ounce (1 oz) = 29.574 milliliters (mL)
The density of this certain material is 37.2 pounds per liter.
What is density?In Science and Mathematics, the density of a chemical or physical substance such as a material can be calculated by using the following formula:
Density = M/V
Where:
M represents the mass of a chemical substance or physical object.V represents the volume of a physical substance or object.Conversion:
1 kg equals 2.20462 pounds
1 cup of volume equals 0.237 liter.
Density, d = (4 × 2.20462)/0.237
Density, d = 37.15 ≈ 37.2 pounds per liter.
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a firm named biometric research corporation makes an attempt to incorporate for a purpose other than making a profit. biometric is
Biometric Research Corporation's decision to incorporate for a purpose other than profit underscores their commitment to utilizing biometric technology for societal advancement and addressing pressing challenges through innovative and responsible means.
Biometric Research Corporation, in its attempt to incorporate for a purpose other than making a profit, demonstrates a shift towards a non-profit or socially driven organization. Biometric technology refers to the measurement and analysis of unique physical and behavioral characteristics of individuals, such as fingerprints, facial features, or iris patterns, to authenticate and identify individuals.
In this context, Biometric Research Corporation might focus on leveraging biometric technology for societal benefits rather than maximizing financial gains. Their purpose could involve conducting research to advance biometric technology, developing open-source biometric solutions, or collaborating with public institutions to enhance security measures or support humanitarian efforts.
By operating with a non-profit objective, Biometric Research Corporation can prioritize the development and deployment of biometric technology in ways that serve the common good. This may involve exploring applications in areas such as healthcare, public safety, border control, or disaster response, aiming to improve efficiency, accuracy, and security while ensuring privacy protection and ethical considerations.
Overall, Biometric Research Corporation's decision to incorporate for a purpose other than profit underscores their commitment to utilizing biometric technology for societal advancement and addressing pressing challenges through innovative and responsible means.
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Choose the inequality that represents the following graph.
+
-3
1
-1
-5
-4
-2
0
1
2
3
4
5
MA
(A
Choose 1 answer:
As
z<-4
MY
33-4
Coi
C
>-4
MY
Pro
2-4
Answer:
The correct answer is D
1
2
3
4
5
Complete the following sentence.
Government benefit programs have been established for a range of
TIME F
assistance.
15
Government benefit programs have been established for a range of assistance over time.
What is context of above answer?
The answer given was "Government benefit programs have been established for a range of assistance." This sentence is referring to various programs created by the government to provide support or aid to those in need.
These programs may include financial assistance, food assistance, housing assistance, medical assistance, and more. The sentence suggests that the government recognizes the importance of providing help to individuals and families who may be struggling and has taken steps to create programs to address these needs.
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Complete Question:
What types of assistance have government benefit programs been established for?
What is the ratio of a:b, knowing that a-b / a+b = 3/5
Answer
i am going to give you 2 answer
1. solving for A is: A=3/5 -b
2. solving for B is: B=3/5 -a
Step-by-step explanation:
correct me if I'm wrong
let me know if it's correct or not
Answer:
soo what is the answer
Step-by-step explanation:
Find the equation for the plane tangent to each surface z = f(x, y) at the indicated point. z = x2 + y3 - 6xy, at the point (1, 2, -3)
The equation for the plane tangent to each surface - -10x + 6y + z - 5 = 0
What is Plane Tangent?
a tangent is a line that touches a curve at exactly one point without intersecting it. Similarly, a plane tangent is a plane that touches a surface at only one point without intersecting it further. This concept is commonly used in calculus and differential geometry to study the behavior of curves and surfaces.
We usually use partial derivatives of the equation of the surface to find the equation of the plane tangent to the surface at a point. The normal vector to the surface at that point is obtained by taking the cross product of the partial derivatives evaluated at that point. Then, using the coordinates of the point and the normal vector, we can determine the equation of the plane using the point-normal form or the general form of the plane equation.
It is important to note that the tangent plane equation depends on the specific point on the surface where the tangent plane is desired. Different points on the surface will have different tangent planes associated with them.
To find the equation for the plane tangent to the surface z = f(x, y) at a point (a, b, c), we need to use the partial derivatives of f with respect to x and y at the point (a, b) to find the normal vector to the plane.
Then we can use the point-normal form of the equation of a plane to write the equation.
First, we need to find the partial derivatives of f(x, y) = x^2 + y^3 - 6xy with respect to x and y:
fx = 2x - 6y
fy = 3y^2 - 6x
Then we can evaluate these partial derivatives at the point (1, 2) to get the normal vector:
n = <fx(1, 2), fy(1, 2)> = <2(1) - 6(2), 3(2)^2 - 6(1)> = <-10, 6>
So the equation of the plane tangent to the surface z = f(x, y) = x^2 + y^3 - 6xy at the point (1, 2, 3) is:
-10(x - 1) + 6(y - 2) + (z - 3) = 0
Simplifying, we get:
-10x + 6y + z - 5 = 0
So the equation of the plane tangent to the surface z = x^2 + y^3 - 6xy at the point (1, 2, 3) is -10x + 6y + z - 5 = 0
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Find the length of each segment. Tell whether the segments are congruent. (1,2,3,4 only)
Answer: 1 & 2 are congruent
Step-by-step explanation:
They both have the same amount of space to get to the other point .
1. AC is congruent to BD.
2. BD and CE are not congruent.
3. AD and BE are not congruent.
4. BC and CE are not congruent.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
1. The segment AC is (1 - (-8)) = 9 units, and the line segment
BD is (3 -(-6)) = 9 units.
So, AC ≅ BD.
2. Line segment BD is 9 units and line segment CE is (7 - 1) = 6 units.
So, BD and CE are not congruent.
3. Line segment AD is (3 - (-8)) = 12 units and line segment BE is (7 - (-6)) = 13 units. (not congruent)
So, line segment AD and BE are not congruent.
4. Line segment BC is (1 - (-6)) = 7 units and line segment CE is (7 - 1) = 6 units.
So, Line segments BC and CE are not congruent.
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14. Suppose a math class contains 35 students, 17 females (five of whom speak French) and 18 males (three of whom speak French). Compute the probability that a randomly selected student speaks French, given that the student is male.
The formula to calculate the conditional probability of A given B is given to be:
\(P(A|B)=\frac{P(A\cap B)}{P(B)}\)If French is represented by F, and males by M, the formula to calculate the probability of a student speaking French given they are male is given to be:
\(P(F|M)=\frac{P(F\cap M)}{P(M)}\)The probability formula is given to be:
\(P(A)=\frac{n(A)}{n(T)}\)Therefore, we have:
\(\begin{gathered} P(F\cap M)=\frac{n(F\cap M)}{n(Students)} \\ n(F\cap M)=students\text{ that speak french and are male}=3 \\ n(Students)=35 \\ \therefore \\ P(F\cap M)=\frac{3}{35} \end{gathered}\)and
\(P(M)=\frac{18}{35}\)Therefore, the conditional probability is:
\(\begin{gathered} P(F|M)=\frac{\frac{3}{35}}{\frac{18}{35}}=\frac{3}{35}\times\frac{35}{18} \\ P(F|M)=\frac{3}{18}=\frac{1}{6}=0.167 \end{gathered}\)The probability is 0.167 or 1/6
A bacteria culture grows at a rate proportional to the current size. The bacteria count was 135 after 3 hours and 3645 after 6 hours. You must show the work for all the simplifications you do. (a) Find the relative growth rate. Simplify your answer as much as possible without giving the decimal answer. (b) Find an equation that models the size of the culture after t hours. Every number in your equation should be fully simplified without giving the decimal answer. (c) When will the population reach 1215? Simplify your answer without using your calculator. Your answer should be exact and not rounded so using your enlculator is not needed and probably won't give you the cxact answer.
a) The relative growth rate (k) is 1.7.
b) The equation that models the size of the culture after t hours is:
N(t) = \(5 \times e^{((1/3) \times ln(27) \times t)\)
c) The population will reach 1215 after t hours, where t = 5.
To solve this problem, we can use the exponential growth formula for the bacteria culture:
N(t) = N₀ × \(e^{(kt)\),
where:
N(t) is the size of the culture after t hours,
N₀ is the initial size of the culture,
k is the relative growth rate, and
(a) Finding the relative growth rate (k):
We are given two data points:
N(3) = 135 and N(6) = 3645.
Using these points, we can set up a system of equations to solve for k.
N(3) = N₀ × \(e^{(3k)\) = 135,
N(6) = N₀ × \(e^{(6k)\) = 3645.
To simplify the calculations, let's divide the second equation by the first equation:
(N₀ × \(e^{(6k)\)) / (N₀ × \(e^{(3k)\) ) = 3645 / 135,
Simplifying further, we cancel out N₀:
\(e^{(6k - 3k)\) = 3645 / 135,
\(e^{(3k)\) = 27.
Taking the natural logarithm (ln) of both sides:
ln(\(e^{(3k)\) ) = ln(27),
3k = ln(27).
Dividing by 3:
k = (1/3) × ln(27).
k ≈ 1.7
Therefore, the relative growth rate (k) is 1.7.
(b) Finding the equation that models the size of the culture after t hours:
Using the information we found in part (a), the equation becomes:
N(t) = N₀ × \(e^{(kt)\)
Since we are given two data points, we can use either one to solve for N₀.
Let's use the first data point N(3) = 135.
Plugging in the values, we have:
135 = N₀ × \(e^{((1/3) \times ln(27) \times 3)\),
135 = \(N_o \times e^{(ln(27))\),
135 = N₀ × 27.
Simplifying further:
N₀ = 135 / 27,
N₀ = 5.
Therefore, the equation that models the size of the culture after t hours is:
N(t) = \(5 \times e^{((1/3) \times ln(27) \times t)\)
(c) When will the population reach 1215,
We need to solve the equation N(t) = 1215 for t.
Plugging in the values into the equation:
1215 = \(5 \times e^{((1/3) \times ln(27) \times t)\).
Dividing both sides by 5:
243 = \(e^{((1/3) \times ln(27) \times t)\)
Taking the natural logarithm (ln) of both sides:
\(ln(243) = (1/3) \times ln(27) \times t\)
Simplifying further:
t = (3 × ln(243)) / ln(27).
t = 5
Therefore, the population will reach 1215 after t hours, where t = 5.
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In AWXY, if m/W is five less than twice m/Y and m/X is 21 more than m/Y, find the measurements of
X=
m
m
m
The measurement of angle X in ∆WXY is 75.7
What is sum of angle in a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon. The above figure is a triangle denoted as △ABC.
The sum of angle in a triangle is 180°. i.e
X+Y+Z = 180°
W = Y-5
X = Y+21
therefore
Y+21+Y-5+Y = 180
3Y +16 = 180
3Y = 180-16
3Y = 164
Y = 164/3
Y = 54.7°
X = 54.7° + 21
X = 75.7°
therefore the measurement of angle X is 75.7°
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n/4+1=5 nnnnnnnnfegorogrohtohteohteoeoioeitleigeoeohohrhoagororohroooh
Measure the diameter of the tin in mm and writer down the real diameter in mm of are ricoffy tin
It should be noted that to measure the diameter of a tin, you will need a ruler or a measuring tape. Follow these steps:
Place the tin on a flat surface.Take the ruler or measuring tape and place it across the widest part of the tin. This should be the distance from one end of the tin to the other, passing through the center.Look at the measurement on the ruler or measuring tape where it crosses the edge of the tin. This is the diameter of the tin.What is a diameter?In geometry, it should be noted that a diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.
In this case, make sure to measure across the widest part of the tin to get an accurate diameter. If the tin is not perfectly round, you can take multiple measurements at different points and calculate the average to get a more accurate diameter.
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A pet food producer fills 25-pound bags of dog food on two different production lines located in separate cities. In an effort to determine whether differences exist between the average fill rates for the two lines, a random sample of 18 bags from line 1 and a random sample of 22 bags from line 2 were recently selected. Each bag's weight was measured and the accompanying table reports the summary measures from the samples. Assume the two lines are normally distributed with equal variances. Complete parts a through c below.
Production Line 1 Production Line 2
Sample size n 18 22
Sample mean x 24.75 25.23
Sample standard deviation, s 0.05 0.09
Required:
a. Calculate the point estimate for the difference between the population means of the two lines.
b. Develop an 80% confidence interval estimate of the true mean difference between the two lines.
a) The point estimate is -0.48
b) The confidence interval is (-0.5884, -0.3716).
How to develop a confidence interval?a. To calculate the point estimate for the difference between the population means of the two lines, we subtract the sample mean of line 2 from the sample mean of line 1:
Point Estimate = x₁ - x₂
Point Estimate = 24.75 - 25.23
Point Estimate = -0.48
Therefore, the point estimate for the difference between the population means of the two lines is -0.48.
b. To develop an 80% confidence interval estimate of the true mean difference between the two lines, we can use the formula for the confidence interval of the difference between two population means:
Confidence Interval = (x₁ - x₂) ± t * √((s₁²/n₁) + (s₂²/n₂))
Where:
x₁ and x₂ are the sample means of line 1 and line 2, respectively.s₁ and s₂ are the sample standard deviations of line 1 and line 2, respectively.n₁ and n₂ are the sample sizes of line 1 and line 2, respectively.t is the critical value from the t-distribution corresponding to the desired confidence level and degrees of freedom.Since the sample sizes are relatively small (less than 30) and the variances are assumed to be equal, we can use the pooled standard deviation to calculate the confidence interval. The pooled standard deviation (sp) is given by:
sp = √(((n₁ - 1) * s₁² + (n₂ - 1) * s₂²) / (n₁ + n₂ - 2))
Let's calculate the confidence interval step by step:
First, calculate the pooled standard deviation:
sp = √(((18 - 1) * 0.05² + (22 - 1) * 0.09²) / (18 + 22 - 2))
sp = √(0.005595)
Next, calculate the standard error:
SE = √((s₁²/ n₁) + (s₂² / n₂))
SE = √(0.006668)
Now, determine the critical value (t*) based on the desired confidence level and degrees of freedom. Since the sample sizes are different, we need to calculate the degrees of freedom using the following formula:
df = ((s₁² / n₁ + s₂² / n₂)²) / (((s₁² / n₁)² / (n₁- 1)) + ((s₂² / n₂)² / (n₂ - 1)))
df = ((0.0025 / 18 + 0.0081 / 22))² / (((0.0025 / 18)² / 17) + ((0.0081 / 22)² / 21))
df = (0.00013888888 + 0.00033013698)²
df = 0.255013
Using an 80% confidence level and the degrees of freedom (df = 0.255013), we look up the critical value (t*) from the t-distribution table or use statistical software. Let's assume t* is approximately 1.33.
Now we can calculate the confidence interval:
Confidence Interval = -0.48 ± 1.33 * 0.08164
Therefore, the 80% confidence interval estimate of the true mean difference between the two lines is (-0.5884, -0.3716).
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Sasha carries a balance on her credit card each month. In May, she decides she wants to use her card to buy a new dishwasher. Which part of the billing cycle should she make her purchase to keep her finance charges to the minimum.
Answer:
her
Step-by-step explanation:
Julia is the oldest of three siblings whose ages are consecutive integers. If the sum of their ages is 42, find Julia's age.
Answer:
Her age is 15.
Step-by-step explanation:
13 + 14 + 15 = 42
Julia is the oldest and 15 is the greatest of the 3 numbers
therefore Julia is 15
Apply the distributive property to factor out 5x.
(5x · x2) + (5x · 3x) − (5x · 7) =
Answer:
5x^3+15x^2-35x
Step-by-step explanation:
Firstly, you want to combine the "x"s in the (5x*x^2) and the (5x*3x). Once you have that (you will get 5x^3 and 15x^2), you can move onto the last set of parenthesis. We can get 35x from here. Finally, the last step is to add the correct signs. Our final answer will then be 5x^3+15x^2-35x. I hope this helped and please don't hesitate to reach out with more questions!
Look in picture!! Please!! URGENT!!
Answer: The value of x is x=5
Step-by-step explanation:
x/12.5=2/5
x=(12.5)(2)/5=x=5
hope this helped!
Answer:
The answer is five! I can provide an explanation if needed
find the limit. lim t→0 e−5t i t2 sin2(t) j sin(4t)k
The overall limit is the vector: lim t→0 (e^(-5t)i + t^2*sin^2(t)j + sin(4t)k) = 1i + 0j + 0k = i.
To find the limit lim t→0 of the given vector function, which includes the terms e^(-5t), t^2*sin^2(t), and sin(4t), we will evaluate the limit of each component separately.
In Mathematics, a limit is defined as a value that a function approaches the output for the given input values.
Limits are important in calculus and mathematical analysis and used to define integrals, derivatives, and continuity. It is used in the analysis process, and it always concerns about the behaviour of the function at a particular point.
The limit of a sequence is further generalized in the concept of the limit of a topological net and related to the limit and direct limit in theory category.
Generally, the integrals are classified into two types namely, definite and indefinite integrals. For definite integrals, the upper limit and lower limits are defined properly. Whereas in indefinite the integrals are expressed without limits, and it will have an arbitrary constant while integrating the function.
1. The limit of the first component e^(-5t) as t approaches 0:
lim t→0 e^(-5t)
Since e^0 is equal to 1, the limit is:
lim t→0 e^(-5t) = 1
2. The limit of the second component t^2*sin^2(t) as t approaches 0:
lim t→0 t^2*sin^2(t)
Since sin(0) = 0, and 0^2 = 0, the limit is:
lim t→0 t^2*sin^2(t) = 0
3. The limit of the third component sin(4t) as t approaches 0:
lim t→0 sin(4t)
Since sin(0) = 0, the limit is:
lim t→0 sin(4t) = 0
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Which table does not represent a proportional relationship?
Table third does not represent a proportional relationship because it does not follow the equation k = y/x option (C) is correct.
What is directly proportional?It is defined as the relationship between two quantities as one quantity increases the other quantity also increases and vice versa.
It is given that:
The table with x and y values is given:
As we know the proportional relationship between x and y:
y ∝ x
y = kx
k is the constant of proportionality.
k = y/x
Checking for the first table:
k = 3/9 = 2/6 = 1/3
Checking for the second table:
k = 4/16 = 4.5/18 = 5/20 = 1/4
Checking for the third table:
k = 2/12 = 3/18 = 4/22 (false)
Checking for the fourth table:
k = 10/5 = 14/7 = 18/9 = 2
Thus, table third does not represent a proportional relationship because it does not follow the equation k = y/x option (C) is correct.
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last week caroline worked 8 hours each day and she worked 5 days that week she earned $440 pounds so per hour she earned £11
this week she is going to work 7 hours each day for 4 days
work out the percent reduction
Answer:
30%
Step-by-step explanation:
this week:
4 × 7 = 28 hours
earns: 28 × 11 = £308
reduction: 440 - 308 = 132
% reduction
132/440 × 100
30%
mmon Core Algebra I - MA3109 B-IC
Activity
Vertical Stretches and Shrinks of Exponential Functions
Assignment Active
Identifying a Function
Which is a stretch of an exponential decay function?
◎m=²[
Of(x) = -(5)
Of(x) = 5(²)
O fix) = 5(5)*
The stretch of an exponential decay function is y = 2(1/5)ˣ
Which is a stretch of an exponential decay function?From the question, we have the following parameters that can be used in our computation:
The list of exponential functions
An exponential function is represented as
y = abˣ
Where
a = initial valueb = growth/decay factorIn this case, the exponential function is a decay function
This means that
The value of b is less than 1
An example of this is, from the list of option is
y = 2(1/5)ˣ
Hence, the exponential decay function is y = 2(1/5)ˣ
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Complete question
Which is a stretch of an exponential decay function?
Of(x) = -(5)ˣ
Of(x) = 5(2)ˣ
O fix) = 2(1/5)ˣ