Where does the line y = 3x + 5 cross the y-axis?
A: at x=3
B: at x=5
C: at y =5
D: at y=3

Answers

Answer 1

Answer:

The answer is- At y = 5

Step-by-step explanation:

I got is correct on meh math test

Answer 2

The line y = 3x + 5 crosses the y-axis at y = 5. The correct answer would be an option (C).

What is y-Intercept?

The y-intercept is defined as an intercept that is located at the y-axis of the plane, which is the location or coordinates from where the line crosses.

The equation is given in the question

y = 3x + 5

We have to determine the y-intercepts for the given line

To determine the y-intercept, substitute the value of x = 0 in the given equation

y = 3(0) + 5

y = 0 + 5

Apply the subtraction operation, and we get

y = 5

Thus, the line y = 3x + 5 cross the y-axis at y = 5.

Hence, the correct answer would be option (C).

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Where Does The Line Y = 3x + 5 Cross The Y-axis?A: At X=3B: At X=5C: At Y =5D: At Y=3

Related Questions


What is the sign of the product (3)
(-3)(-2)(4)? (5 points)

•Positive, because the products (3)(-3) and (-2)(4) are negative, and the product of two negative numbers is positive
•Positive, because the products (3)(-3) and (-2)(4) are positive, and the product of two positive numbers positive
•Negative, because the produchs (3)(-3) and (-2)(4) are negative, and the product of two negative numbers is negative
•Negative, because the products (3)(-3) and (-2)(4) are positive, and the product of two positive numbers is negative


Answers

Answer:

Positive.  

Step-by-step explanation:

Negative times negative is positive.  The other factor of the equation is positive.  Multiply that and the sign is positive.

What if Jake has two shirts, five pairs of pants and four sweaters? How many
outfits can he make? *

Answers

Answer:

5

Step-by-step explanation:

There are 5 pants 2 shirts and 4 sweaters which makes 6 together, paired up makes 5 outfits and one extra sweater or shirt.

5. Let a and b be two independent events with p (a) = 0. 4 and p (a ∪ b) = 0. 64. What is p (b)?

Answers

Let a and b be two independent events, if p (a) = 0. 4 and p (a ∪ b) = 0. 64 then the value of the p(b) = 0.4

In this question, we will utilise the notion of independent events and the probability addition rule to determine the probability of event B. The product of the individual probabilities will represent the intersection of independent events.

p(a) = 0.4

p(a∪b) = 0.64

p (a ∩ b) = p(a) x p(b)

p (a ∪ b) = p(a) + p(b) - p(a) x p(b)

0.64 = 0.4 + p(b) - 0.4 x p(b)

p(b) = 0.4

Therefore, the value of the p(b) = 0.4

Independent occurrences are ones whose occurrence is unrelated to any other event. For example, suppose we flip a coin in the air and receive the result Head, then we flip the coin again and obtain the result Tail. The occurrences occur independently of one another in both circumstances. It is one of the several kinds of occurrences in probability.

Let us now look at the whole description of independent events, including a Venn diagram, examples, and how they vary from mutually exclusive events.

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solve 2x-6= 12 pls mate

Answers

Answer: Standard form:

2x − 18 = 0

Factorization:

2(x − 9) = 0

Solutions:

x = 18

2

= 9

Step-by-step explanation:

Answer:

12. It's solved you are correct.

Step-by-step explanation:

2x6=12 Also Please mark me brainelst btw mate 2x6 is 12 and 6x2=12. Thanks. I do not know if I'm right.

Two parallel sides of a rectangle are being lengthened at the rate of 2 in/sec, while the other two sides are shortened in such a way that the figure remains a rectangle with constant area of 50 in2. What is the rate of change of the perimeter when the length of an increasing side is 5 in? Is the perimeter increasing or decreasing?

Answers

Let L and W be the length and width of the rectangle, respectively. We know that LW = 50, so differentiating both sides with respect to t, we get:

d/dt (LW) = d/dt (50)

dL/dt * W + L * dW/dt = 0

dL/dt * W = - L * dW/dt

We also know that dL/dt = 2 in/sec, and we want to find dP/dt, where P = 2L + 2W is the perimeter of the rectangle.

When L = 5 in, W = 10 in, so:

dL/dt * W = 2 * 10 = 20 in^2/sec

And:

dP/dt = 2 * dL/dt + 2 * dW/dt

Substituting dL/dt * W = - L * dW/dt, we get:

dP/dt = 2 * dL/dt - 2 * (L/W) * dL/dt

When L = 5 in, W = 10 in, so:

dP/dt = 2 * 2 - 2 * (5/10) * 2 = 0 in/sec

Therefore, the perimeter is not changing at this moment, and it is neither increasing nor decreasing.

Can u mark my answer as the Brainlyest if it work Ty

Answer: The correct answer is A

i have no clue if this is correct if it is goodluck lol

An increasing number of consumers believe they have to look out for themselves in the marketplace. According to a survey conducted by the Yankelovich Partners for USA WEEKEND magazine, 60% of all consumers have called an 800 or 900 telephone number for information about some product. Suppose a random sample of 25 consumers is contacted and interviewed about their buying habits

Answers

The probability that 11 or more of these consumers have called an 800 or 900 telephone number for information about some product is approximately 0.326.

How is the binomial probability distribution employed in statistics? What is it?

The number of successes in a certain number of independent trials that all have the same probability of success are described by the discrete probability distribution known as the binomial probability distribution. The probability of success is constant during all trials, and it is used in statistics to describe situations where there are two alternative outcomes (success or failure).

The binomial probability distribution is given as:

P(X ≥ k) = 1 - P(X < k)

Here, p = 0.60, and the sample size is n = 20.

Thus,

P(X ≥ 11) = 1 - P(X < 11)

= 1 - ∑(20 choose x) (0.6)ˣ (0.4)⁽²⁰⁻ˣ⁾ for x from 0 to 10

P(X ≥ 11) = 0.326

Hence, the probability that 11 or more of these consumers have called an 800 or 900 telephone number for information about some product is approximately 0.326.

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The complete question is:

An increasing number of consumers believe they have to look out for themselves in the marketplace. According

the tub started with gallons of water

Answers

Answer:

huh?

Step-by-step explanation:

A recipe for pastry has flor, butter and water mixed in the ratio 24:8:3.If fiona follows the recipe and uses 6 cups of flour . how many many cups of butter should be used?.​

Answers

Answer:

Answer:

2.5\; {\rm m\cdot s^{-1}}2.5m⋅s

−1

.

Approximately 16\; {\rm m}16m .

Explanation:

When acceleration is constant, the SUVAT equations would apply. Let aa denote acceleration, uu denote initial velocity, vv denote velocity after acceleration, xx denote displacement, and tt denote the duration of acceleration.

v = u + a\, tv=u+at relates the velocity after acceleration to the duration of the acceleration.

x = (v^{2} - u^{2}) / (2\, a)x=(v

2

−u

2

)/(2a) relates the displacement after acceleration to initial velocity, final velocity, and acceleration.

Right before braking, the vehicle (initial velocity: u = 0\; {\rm m\cdot s^{-1}}u=0m⋅s

−1

) would have accelerated at a = 1.3\; {\rm m\cdot s^{-2}}a=1.3m⋅s

−2

for t = 4.0\; {\rm s}t=4.0s . Apply the equation v = u + a\, tv=u+at to find the velocity of the vehicle after this period of acceleration:

\begin{gathered}\begin{aligned} v &= u + a\, t \\ &= (0\; {\rm m\cdot s^{-1}}) + (1.3\; {\rm m\cdot s^{-2}})\, (4.0\; {\rm s}) \\ &= 5.2\; {\rm m\cdot s^{-1}}\end{aligned}\end{gathered}

v

=u+at

=(0m⋅s

−1

)+(1.3m⋅s

−2

)(4.0s)

=5.2m⋅s

−1

.

Apply the equation x = (v^{2} - u^{2}) / (2\, a)x=(v

2

−u

2

)/(2a) to find the displacement xx of this vehicle at that moment:

\begin{gathered}\begin{aligned} x &= \frac{v^{2} - u^{2}}{2\, a} \\ &= \frac{(5.2\; {\rm m\cdot s^{-1}})^{2} - (0\; {\rm m\cdot s^{-1}})^{2}}{2 \times 1.3\; {\rm m\cdot s^{-2}}} \\ &= 10.4\; {\rm m}\end{aligned}\end{gathered}

x

=

2a

v

2

−u

2

=

2×1.3m⋅s

−2

(5.2m⋅s

−1

)

2

−(0m⋅s

−1

)

2

=10.4m

.

It is given that acceleration is constant (at a = (-1.8\; {\rm m\cdot s^{-2}})a=(−1.8m⋅s

−2

) ) during braking. The velocity before this period of acceleration (initial velocity) would now be u = 5.2\; {\rm m\cdot s^{-1}}u=5.2m⋅s

−1

. After t = 1.50\; {\rm s}t=1.50s of braking, the velocity of this vehicle would be:

\begin{gathered}\begin{aligned} v &= u + a\, t \\ &= (5.2\; {\rm m\cdot s^{-1}}) + (-1.8\; {\rm m\cdot s^{-2}})\, (1.50\; {\rm s}) \\ &= 2.5\; {\rm m\cdot s^{-1}}\end{aligned}\end{gathered}

v

=u+at

=(5.2m⋅s

−1

)+(−1.8m⋅s

−2

)(1.50s)

=2.5m⋅s

−1

.

Apply the equation x = (v^{2} - u^{2}) / (2\, a)x=(v

2

−u

2

)/(2a) to find the displacement of this vehicle during this t = 1.50\; {\rm s}t=1.50s of braking. Note that this displacement gives the position relative to where this vehicle started braking, not where it started from rest.

\begin{gathered}\begin{aligned} x &= \frac{v^{2} - u^{2}}{2\, a} \\ &= \frac{(2.5\; {\rm m\cdot s^{-1}})^{2} - (5.2\; {\rm m\cdot s^{-1}})^{2}}{2 \times (-1.8)\; {\rm m\cdot s^{-2}}} \\ &= 5.775\; {\rm m}\end{aligned}\end{gathered}

x

=

2a

v

2

−u

2

=

2×(−1.8)m⋅s

−2

(2.5m⋅s

−1

)

2

−(5.2m⋅s

−1

)

2

=5.775m

.

The total displacement of this vehicle (relative to where it started from rest) is the sum of the displacement during acceleration and the displacement during braking: 10.4\; {\rm m} + 5.775\; {\rm m} \approx 16\; {\rm m}10.4m+5.775m≈16m . In other words, after that t = 1.50\; {\rm s}t=1.50s of braking this vehicle would have been approximately 16\; {\rm m}16m from where it started.

-2 1/2 ÷6=
-5 5/8 ÷ 5=
-2 1/8 ÷ 1/4=
1 5/8 ÷ -1 3/5=
-4 1/3 ÷ -2 3/5=​

Answers

1) -1.75
2) -1.375
3) -10.5
4) -75/104
5) 205/69

Answer:

-2 1/2 ÷ 6 = -0.41

-5 5/8 ÷ 5 = -1.12

-2 1/8 ÷ -1/4 = -8.5

1 5/8 ÷ -1 3/5 = -1.01

-4 1/3 ÷ -2 3/5 = 1.66

,  Hope this helps :)

Have a great day!!

feature scaling using techniques like mean normalization can make gradient descent converge faster true false

Answers

The statement is True. Mean normalization scales data to have a mean of 0, which allows the gradient descent algorithm to more quickly identify the optimum point.

Mean normalization is a feature scaling technique used to speed up the learning process of gradient descent algorithms. It works by mapping the values of a dataset to a range of [-1, 1], or [0, 1], by subtracting the mean from each data point and dividing by the standard deviation. This scaling process helps to reduce the impact of the outliers and normalize the data, allowing the gradient descent algorithm to more quickly converge on the optimal solution. This results in faster and more accurate models.

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John Henry took his sons to lunch and the total amount of the check was $42.80. He wants to leave a 20% tip. What will be the total amount he will spend? ​

Answers

Answer:

$42.80    check

   x.20     tip

 $8.56

Then add the the total check $42.80 +$8.56 = $51.36 John will spend

Step-by-step explanation:

to find the tip multiply the total by the tip

if 10%  x it by .10

if 16%  x it by .16

if 25 % x it by.25 and so on then add that to the total of the bill

Answer:

See below.

Step-by-step explanation:

Divide to turn the percentage into decimal form.

\(\frac{20}{100} =.20\)

Multiply the percentage by the amount.

\(42.80*.20=8.56\)

Add them together.

\(42.80+8.56=51.36\)

Answer: \(51.36\)

:)

What is 180% of 4090

Answers

Answer:

7362

Step-by-step explanation:

Multiply 1.8 with 4090.

When two-thirds of a number is added 7, the result is twice the same number.

Write and algebraic equation to represent the information above.

(Brain test, Good luck working it out!)

Answers

Therefore , the solution of the given problem of equation comes out to be (2/3)x + 7 = 2x .

What is an equation?

In arithmetic equations, the identical figure (=) is used to denote the equivalence of two assertions. It is demonstrated that mathematical methods, which have acted as manifestations of reality, can be used to assess a variety of numerical factors. The equal sign actually splits the number 12 into two separate pieces, despite the fact that the result is y + 6 = 12. Calculations can be made to determine how many protagonists are also present at either end of a particular character. Conflicting sign interpretations are frequent.

Here,

Let's call the number we're looking for "x".

According to the problem, "two-thirds of a number" can be expressed as (2/3)x, and "is added 7" can be expressed as +7. Finally, "the result is twice the same number" can be expressed as 2x.

Putting it all together, we can write the equation:

(2/3)x + 7 = 2x

This equation represents the information given in the problem.

Therefore , the solution of the given problem of equation comes out to be (2/3)x + 7 = 2x .

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Use cofunctions of complementary angles to complete the relationship. cos (pi/3)=sin() Find the lengths of the missing sides if side a is opposite angle A, side b cos(B) = 4/5, a = 50

Answers

The relationship between cosine and sine of complementary angles allows us to complete the given equation. Using the cofunction identity, we know that the cosine of an angle is equal to the sine of its complementary angle.

If cos(pi/3) = sin(), we can determine the value of the complementary angle to pi/3 by finding the sine of that angle. To find the lengths of the missing sides in a right triangle, we can use the given information about the angle B and side a. Since cos(B) = 4/5, we know that the adjacent side (side b) is 4 units long and the hypotenuse is 5 units long. Using the Pythagorean theorem, we can find the length of the remaining side, which is the opposite side (side a). Given that a = 50, we can solve for the missing side length. In summary, using the cofunction identity, we can determine the value of the complementary angle to pi/3 by finding the sine of that angle. Additionally, using the given information about angle B and side a, we can find the missing side length by using the Pythagorean theorem.

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Please help ASAP
just need to answer 1 question

Please help ASAP just need to answer 1 question

Answers

Answer:

\(0.143\)

Step-by-step explanation:

\(6.5*\frac{22}{1000}\)

\(=0.143\)

What is the domain of the exponential function y = 8^x+2?

Answers

hola buenas tardes como está el día de hoy ? yo estoy bien gracias por preguntar, espera...hablas español verdad...?

Answer: All real numbers

Step-by-step explanation: It is pretty simple. Just see if the x can be undefined. In this case x works with every number. So, it's all real numbers

A shed has the shape of a cube with edges that are 6 feet long. the top of the shed is a square pyramid that fits on top of the cube. the slant height of the faces is 5 feet. the shed has a single rectangular door that is 5 feet tall by 4 feet wide. all but the door and the bottom of the shed need to be painted. what is the area of the surface that needs to be painted?

Answers

To calculate the area of the surface that needs to be painted, we need to determine the total surface area of the shed and subtract the area of the door and the bottom of the shed.

1. Surface area of the cube:

A cube has six equal square faces. Each face has an area of (side length)^2. In this case, the side length of the cube is 6 feet, so the area of each square face is (6 feet)^2 = 36 square feet. Since there are six faces, the total surface area of the cube is 6 * 36 square feet = 216 square feet.

2. Surface area of the square pyramid:

A square pyramid has a square base and four triangular faces. The area of the base is (side length)^2, and the area of each triangular face can be calculated using the formula for the area of a triangle: (base * height) / 2.

The side length of the square base is equal to the side length of the cube, which is 6 feet. So, the area of the base is (6 feet)^2 = 36 square feet.

The height of each triangular face is the slant height, which is given as 5 feet.

The area of each triangular face is (base * height) / 2 = (6 feet * 5 feet) / 2 = 15 square feet.

Since there are four triangular faces, the total area of the triangular faces is 4 * 15 square feet = 60 square feet.

Therefore, the total surface area of the square pyramid is 36 square feet (base) + 60 square feet (triangular faces) = 96 square feet.

3. Area of the door:

The area of the door is given as 5 feet (height) * 4 feet (width) = 20 square feet.

4. Area of the bottom of the shed:

The bottom of the shed is a square with side length 6 feet, so its area is (6 feet)^2 = 36 square feet.

Now, let's calculate the area of the surface that needs to be painted:

Total surface area of shed = Surface area of cube + Surface area of square pyramid

                       = 216 square feet + 96 square feet

                       = 312 square feet

Area of surface that needs to be painted = Total surface area - Area of door - Area of bottom of shed

= 312 square feet - 20 square feet - 36 square feet

= 256 square feet

Therefore, the area of the surface that needs to be painted is 256 square feet.

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Help me with this, it’s due in a bit!

Help me with this, its due in a bit!

Answers

Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64

given two vectors a and b with components (a_x, a_y) and (b_x, b_y), and magnitudes |a| and |b|, what is the correct expression for the magnitude of the vector c = a b?

Answers

The correct expression for the magnitude of the vector c = a x b is |c| = |a| |b| sin(theta), where theta is the angle between the two vectors.

The vector product of two vectors a and b is defined as c = a x b = |a| |b| sin(theta) n, where n is the unit vector perpendicular to both a and b in the direction given by the right-hand rule. Since c = a x b, the magnitude of c can be expressed as |c| = |a| |b| sin(theta), where theta is the angle between a and b. Therefore, the correct expression for the magnitude of the vector c = a x b is |c| = |a| |b| sin(theta).

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Help pls i don’t wanna get a bad grade :(

Help pls i dont wanna get a bad grade :(

Answers

Answer:

the answer is d

Step-by-step explanation:

because the time x(sec) is 10 and all the way down and the height y(ft) is 40 and all the way down also because if you keep mulitplying you get the answer for d like 20 X 5 = 40 and 5 X 2= 10

HOPE THIS HELPS :) :) HAVE A NICE DAY

can someone pls help

can someone pls help

Answers

The required area of the parallelogram and pentagon is 91 unit² and 75 unit².

What is surface area?

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram  = 13 × 7 = 91 unit²

Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
                                 = 5 [1/2 × 5 × 6]

                                 = 75 suqare units.

Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².

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Does someone mind helping me with this? Thank you!

Does someone mind helping me with this? Thank you!

Answers

For all values of x greater than or equal to -2, the function f(x) = √(x + 2) + 2 will yield real outputs. So, x = -2.

How to find the Output Value of a Function?

To determine the input value at which the function f(x) = √(x + 2) + 2 begins to have real outputs, we need to find the values of x for which the expression inside the square root is non-negative. In other words, we need to solve the inequality x + 2 ≥ 0.

Subtracting 2 from both sides of the inequality, we get:

x ≥ -2

Therefore, the function f(x) = √(x + 2) + 2 will have real outputs for all values of x greater than or equal to -2.

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find the x for 4+3x=x+6 linear equation

Answers

here is your Answer.

hope it is helpful,

Please mark me brainiest

find the x for 4+3x=x+6 linear equation

Answer:

x =1

Step-by-step explanation:

4 + 3x = x + 6

minus 4 from both side

6-4 = 2

3x = x + 2

then minus x from both side

3x-x=2

(pretend there's a 1 beside the x)

2x = 2

then divide 2 from both side and 2/2 =1

s0 x=1

that doesn't make sense but ye

Please help i can't figure it out I've gone brain dead (︶^︶)

which statement correctly compares the function shown on this graph with the function y = 7x - 10

Please help i can't figure it out I've gone brain dead (^)which statement correctly compares the function

Answers

Answer:

It might be A.

Step-by-step explanation:

Answer:

I believe it is a or c

Step-by-step explanation:

A coordinate grid with 2 lines. The first line is labeled g(x) and passes through the points (negative 3, 0) and (0, 2). The second line is labeled f(x) and passes through the points (negative 3, 0) and (0, 2). What is the solution to the system of linear equations? (–3, 0) (–3, 3) (0, 2) (3, 1)

A coordinate grid with 2 lines. The first line is labeled g(x) and passes through the points (negative

Answers

The correct answer is option c i.e. (0, 2)

What is Linear Equation?

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.

Here, The solution to this Linear System is already shown by the graph. This is also called the Graph Method. The Solution of this Linear System is this common point in this case, (0,2).

Since each equation is represented by a line. So We have  g(x) for the red line, and f(x) for the blue one. Each line is a set of points, We know that from the Euclidean Geometry and its common point (0,2) solves this system.

Thus, the correct answer is option c i.e. (0, 2)

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Answer:

0,2

Step-by-step explanation:

The Ponce Inlet lighthouse in Ponce Inlet has a gallery deck where one can view the surrounding area. Kim is standing on the deck, point k, which is 140.75 feet above ground level. Louise point L, is standing 200ft from the base of the lighthouse directly below Kim’s position. Determine the distance, in feet, between point K and point L

Answers

The distance between Kim and Louise is 340.75 feet.

What is algebra?

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

Given that,

The distance of Kim from the ground level, who is standing on the deck at point K  = 140.75 feet.

Also, the distance of  Louise at point L, who is standing below Kim's position, = 200 feet.

The distance between point K and L,

= 200 + 140.75

= 340.75 feet

The required distance between K and L is 340.75 feet.

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We are interested in the first few Taylor Polynomials for the
function
f(x)=5ex+7e−x
centered at a=0
To assist in the calculation of the Taylor linear
function, T1(x), and the Taylor quadratic
function, T2(x), we need the following values: f(0)=
f'(0)=
f''(0)=
Using this information, and modeling after the example in the
text, what is the Taylor polynomial of degree one: T1(x)=
What is the Taylor polynomial of degree two: T2(x)=

Answers

we can write the Taylor polynomial of degree two as T2(x) = f(0) + f'(0)(x-0) + f''(0)(x-0)^2/2 = 12 - 2x + 12x^2/2 = 6x^2 - 2x + 12.

The values we need for the Taylor polynomials are:

f(0) = 5 + 7 = 12

f'(0) = 5 - 7 = -2

f''(0) = 5 + 7 = 12

Using these values, we can write the Taylor polynomial of degree one as:

T1(x) = f(0) + f'(0)(x-0) = 12 - 2x

To find the Taylor polynomial of degree two, we also need to calculate the second derivative of f(x):

f'''(x) = 5e^x - 7e^-x

f''''(x) = 5e^x + 7e^-x

Then, we can write the Taylor polynomial of degree two as:

T2(x) = f(0) + f'(0)(x-0) + f''(0)(x-0)^2/2 = 12 - 2x + 12x^2/2 = 6x^2 - 2x + 12.

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From a table of integrals, we know that for ,≠0a,b≠0,

∫cos()=⋅cos()+sin()2+2+.∫eatcos⁡(bt)dt=eat⋅acos⁡(bt)+bsin⁡(bt)a2+b2+C.

Use this antiderivative to compute the following improper integral:

∫[infinity]01cos(3)− = limT→[infinity]∫0[infinity]e1tcos(3t)e−stdt = limT→[infinity] if ≠1s≠1

or

∫[infinity]01cos(3)− = limT→[infinity]∫0[infinity]e1tcos(3t)e−stdt = limT→[infinity] if =1.s=1. help (formulas)
For which values of s do the limits above exist? In other words, what is the domain of the Laplace transform of 1cos(3)e1tcos(3t)?

help (inequalities)
Evaluate the existing limit to compute the Laplace transform of 1cos(3)e1tcos(3t) on the domain you determined in the previous part:

()=L{e^1t cos(3)}=

Answers

"From a table of integrals, we know that for \(\(a \neq 0\)\) and \(\(b \neq 0\):\)

\(\[\int \cos(at) \, dt = \frac{1}{a} \cdot \cos(at) + \frac{1}{b} \cdot \sin(bt) + C\]\)

and

\(\[\int e^a t \cos(bt) \, dt = \frac{e^{at}}{a} \cdot \cos(bt) + \frac{b}{a^2 + b^2} \cdot \sin(bt) + C\]\)

Use this antiderivative to compute the following improper integral:

\(\[\int_{-\infty}^{0} \cos(3t) \, dt = \lim_{{T \to \infty}} \int_{0}^{T} e^t \cos(3t) \, e^{-st} \, dt = \lim_{{T \to \infty}} \text{ if } s \neq 1, \, \text{ or } \lim_{{T \to \infty}} \text{ if } s = 1.\]\)

For which values of \(\(s\)\) do the limits above exist? In other words, what is the domain of the Laplace transform of \(\(\frac{1}{\cos(3)} \cdot e^t \cos(3t)\)\)?

Evaluate the existing limit to compute the Laplace transform of  on the domain you determined in the previous part:

\(\[L\{e^t \cos(3t)\\).

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A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.

Use π = 3.14.

What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)

Answers

Answer:

The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height.

Given the diameter of both the cylinder and the cone is 8 inches, the radius is 8/2 = 4 inches.

The volume of the cylinder is Vcyl = π(4)²(3) = 48π cubic inches.

The formula for the volume of a cone is V = (1/3)πr²h.

The volume of the cone is Vcone = (1/3)π(4)²(18) = 96π/3 = 32π cubic inches.

Therefore, the relationship between the volume of the cylinder and the cone is that the volume of the cone is exactly two-thirds of the volume of the cylinder.

We can see this by dividing the volume of the cylinder by the volume of the cone:

Vcyl/Vcone = (48π) / (32π) = 3/2

So, the volume of the cylinder is 1.5 times greater than the volume of the cone.

use order of operations to simplify -5+3(7.2 - 3.2). please help

Answers

Answer:

7

Step-by-step explanation:

First solve what is in the parentheses.

-5+3(4)

Multiply 3 by 4.

-5+12

Subtract/add

7

I hope this helps!

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