help me pleaseeeeeeeeeeeeee

The tangent to the graph f,  f(x) = \(5x^4\)/4 + 15/4.

When infinitesimal data are combined, notions such as displacement, area, and volume can be created. An integral assigns numbers to functions in a way that describes these concepts. Integration is the action of locating integrals.

Given:

f '(x) = 5x³

and, line: 5x + y= 0

We integrate to get f(x) = ∫5x³ dx = \(5x^4\)/4 + C.

As, tangent line is y = - 5x,

then f'(x) = 5x³ = - 5, x³ = -1 and x = -1 is x-coordinate of tangent point.

So, the y-coordinate of tangent point is

f(-1) = 5\((-1)^4\)/4  + C

      = 5/4 + C.

and, the equation of tangent line is

y - 5/4 - C = - 5(x + 1)

y = - 5x - 15/4 + C.

Thus,  -15/4 + C = 0,

C = 15/4 and f(x) = \(5x^4\)/4 + 15/4

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Step-by-step explanation:

\(area \: of \: rectangle = length \times \: width\)

Given

\(l = 2w - 3\)

using this

\(area = l \times w = (2w - 3)(w) = 27\)

\(2 {w}^{2} - 3w = 27\)

\(2 {w}^{2} - 3w - 27 = 0\)

\(2 {w}^{2} - 9w + 6w - 27 = 0\)

\(2w(w - 4.5) + 6(w - 4.5) = 0\)

\((2w + 6)(w - 4.5) = 0\)

\(w = - 3 \: \: or \: \: w= 4.5\)

Since size cannot be negative therefore

\(w = 4.5cm\)

\(l = 2w - 3 = 9 - 3 = 6\)

Hence length of the rectangle=6m

width of the rectangle=4.5m

Answer:

Let length and breadth of rectangle be x metres and y metres respectively.

xy = 27 ---- eqn 1

x = 2y-3 ---- eqn 2

Sub eqn 2 into eqn 1:

(2y-3) × y = 27

2y² - 3y = 27

2y² - 3y - 27 = 0

(y+3)(2y-9) = 0

y+3=0 or 2y-9=0

y=-3 (rejected) 2y=9

y=4.5

Sub y=4.4 into eqn 2:

x = 2(4.5) - 3

= 6

Hence,

length of rectangle = x metres

= 6m

breadth of rectangle = y metres

= 4.5m

Answer:

Step-by-step explanation:

Sorry if this is different, but based on what I read, here is the answer.

100 x 0.85 = 85

therefor it is 85%, which is significantly more than 80%

Answer:

the answer is (-15,13)

Step-by-step explanation:

try to solve for x on one equation, like 8x+9y=-3

x=-9/3y-3/8

plug x in for the next equation

6((-9/8y)-3/8)+7y=1

(-27y/4)-9/4+7y=1

y/4-9/4=1

y/4=13/4

y=13

now plug in the y value for any equation

6x+7(13)=1

6x+91=1

6x=-90

x=-15

So the answer to the system of equations is (-15,13)

Answer:

That triangle is called a Scalene Triangle

Step-by-step explanation:

Have a great day!

Answer:

Step-by-step explanation:

Answer:

$ 331 :)

Step-by-step explanation:

1) Let the value of yellow circles = x

Let the value of green butterflies = y

Consider the left string,

3x + y = 15  ----(1)

Consider the right string,

x + 2y = 15 ----(2)

Let us solve the linear equations

(1) *2  => 6x+ 2y = 30 ---(3)

(3) - (2) => 6x+ 2y = 30 - ( x + 2y = 15)

            =>  5x  = 15

            =>   x =  3

Substituting x in (1)

3(3) + y = 15

y = 15- 9

y = 6

The value of yellow circles = 3

The value of green butterflies = 6        

2)  Let the yellow circles = c

Let the green butterflies = b

The linear equations that could be formed are:

a) Left string equation:

3c+b = 15

b) Right string equation:

2b +c = 15

c) Equation of both strings:

4c +3b = 30

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Yes, if a figure can be rotated 360° to be mapped onto itself, it is considered to have rotational symmetry.

This is because a 360° rotation means that the figure will return to its original position, making it symmetrical. Rotational symmetry is a type of symmetry where a figure can be rotated about a central point and still look the same. The degree of rotational symmetry depends on the number of times a figure can be rotated to match its original appearance. Therefore, if a figure can be rotated 360° and maintain its original appearance, it is said to have rotational symmetry of degree 1. This is true regardless of the size, orientation, or position of the figure. Yes, a figure that can be rotated 360° to be mapped onto itself is considered to have rotational symmetry. Rotational symmetry occurs when an object can be rotated around a central point and still appear the same as its original position. In the case of a 360° rotation, the figure returns to its initial configuration, confirming its rotational symmetry.

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1. Probability that one randomly selected piece Present both defects is 0.0016

2. Probability that one randomly selected piece At least one defect is 0.1696

3.Probability that one randomly selected piece is One and only defect is 0.0196

4. Probability that one randomly selected piece is No defects is 0.9216

1.Probability of presenting both defects (X and Y):

P(X and Y) = P(X) × P(Y) = 0.02 × 0.08 = 0.0016 or 0.16%.

2.Probability of presenting at least one defect:

P(at least one defect) = 1 - P(no defects)

P(at least one defect) = 1 - P(X') × P(Y') (where X' represents the complement of defect X, and Y' represents the complement of defect Y) P(at least one defect) = 1 - (1 - P(X)) × (1 - P(Y))

P(at least one defect) = 1 - (1 - 0.02) × (1 - 0.08)

P(at least one defect) = 1 - 0.98 × 0.92 = 0.1696 or 16.96%.

3.Probability of presenting one and only one defect:

P(one and only one defect) = P(X) × P(Y') + P(X') × P(Y)

P(one and only one defect) = P(X) × (1 - P(Y)) + (1 - P(X)) × P(Y)

P(one and only one defect) = 0.02 × (1 - 0.08) + (1 - 0.02) × 0.08

P(one and only one defect) = 0.0196 or 1.96%.

4.Probability of presenting no defects:

P(no defects) = P(X') × P(Y') = (1 - P(X)) × (1 - P(Y))

P(no defects) = (1 - 0.02) × (1 - 0.08) = 0.9216 or 92.16%.

Please note that these calculations are based on the assumptions of independence between the defects X and Y. If there is any correlation or relationship between the defects, these probabilities may change.

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\(F = \frac{9}{5} c + 32\)

This Equation Is Used For Conversion Of Celcius To Fahrenheit.

Answer: Uhmm ok the answer i got would have been F = C x 9/5 + 32 But since there isn't a choice like that I think it's the second one- its the closest to what i got--

Step-by-step explanation:

The length and width of the plot that will maximize the area is 60 meters by 120 meters. The largest area that can be enclosed is 7200 square meters.

To maximize the area of the rectangular plot, Farmer Ed must use 9000 meters of fencing to enclose three sides of the plot. The fourth side, which borders the river, does not need to be fenced. To find the length and width of the plot that will maximize the area, the 9000 meters of fencing must be divided into two sides of equal length, with the remaining fencing used for the third side. This results in a length of 120 meters and a width of 60 meters, which maximizes the area of the plot. The largest area that can be enclosed is 7200 square meters.

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Equation for G, representing the number of gallons of gas left after ‘T’ hours will be: G = 12 - 2T

Let G be the total number of gallons of gas left

And t be the time in hours

Since, car uses 2 gallons of gas in  1 hours

Therefore, total gallons of gas used in 4 hours will be 2 x 4 = 8 gallons

Total gallons of gas left after 4 hours = 4 gallons

Therefore, total gallons of gas before embarking on a road trip = 8 + 4 = 12 gallons

In general from the unitary method, number of gallons of gas used in time ‘T’ will be 2T

Therefore, Total gallons of gas left = (Total gallons of gas embarked on a road trip) - ( Total gallons of gas used in the trip at time ‘T’ )

From the above conclusions, we can write

G = 12 - 2T

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Radon transformation of an out-of-center point source would be a sinusoid, the Radon transform data was frequently referred to as a sinogram.

 A collection of line integrals makes up a projection of the two-dimensional function f(x,y). By using parallel routes, or beams, inside a given direction, the radon function calculates the range integrals from various sources.

An x-ray procedure called a fistulogram and sinogram can be used to visualise an aberrant channel (fistula/sinus) connecting two or even more organs. It might have a channel leading from the inside of the body to a skin opening. Contrast (formerly known as x-ray dye) is utilized to locate the fistula or sinus's beginning, its route, and the organs that are affected.

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Answer:

6.5%

Step-by-step explanation:

M.P= ₹6,000

Amount excluding VAT= 5,610

discount= x/100

discount= 6000*x/100=60x

equating

6000-60x= 5610

6000-5610=60x

390=60x

390/60=x

6.5=x

therefore, there is a discount of  6.5%

The statement "In practice, we frequently use a continuous distribution to approximate a discrete one when the number of values the variable can assume is countable but large" is false because we use a discrete distribution to approximate a discrete one when the number of values the variable can assume is countable but large.

In probability and statistics, we frequently use a discrete distribution to model a variable that can only take on certain values. A continuous distribution, on the other hand, is used to represent a variable that can take on any value within a given range.

However, when the number of values the variable can take on is countable but large, we usually use a discrete distribution to model it rather than a continuous one. For example, if we're counting the number of heads that come up in a series of coin flips, we would use a discrete distribution (the binomial distribution) rather than a continuous one.

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Answer:

12x-6>7x=19

Step-by-step explanation:

The top of the ladder is sliding down the wall at a rate of 2.4 ft/sec when the foot of the ladder is 24 ft from the wall.

Given a 25-foot ladder leaning against a wall, with Jack pulling the foot of the ladder away at a rate of 0.7 ft/sec, we'll use the Pythagorean theorem to determine the speed at which the top of the ladder is sliding down the wall when the foot is 24 ft away.

Let x be the distance between the foot of the ladder and the wall, and y be the distance between the top of the ladder and the ground.

According to the Pythagorean theorem, x² + y²= 25².

When x = 24 ft, we can find y:

24² + y² = 25² 576 + y² = 625

y² = 49

y = 7 ft

Now we differentiate the equation with respect to time, t: 2x(dx/dt) + 2y(dy/dt) = 0

We know dx/dt = 0.7 ft/sec, x = 24 ft, and y = 7 ft. Plug these values into the equation:

2(24)(0.7) + 2(7)(dy/dt) = 0

Solve for dy/dt: 33.6 + 14(dy/dt) = 0 14(dy/dt) = -33.6 dy/dt = -2.4 ft/sec

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Answer:

The value of x is any number because x is a variable that's in algebra

Answer:

the asnwer is

Step-by-step explanation:

C= 2 x pi x r

i gotchu bro

the answer is correct

we have to check that if we operate the numbers that are inside the box we get the numerator

Answer:

1.6 pounds

Step-by-step explanation:

Hope this helped have a great day!!

Answer:

Ummmmm

Step-by-step explanation:

I am a little confused on the way you worded the question however *not guaranteed this is the right answer let me know if it is* but I'm just going to see what I can find using this very confusing question. Next time please try to word the question better but please give me a heart for trying.

She bought 2 pounds of chocolate candy and if its supposed to be separate then £0.40p

According to the solution we have come to find that,  ∠ABC is congruent to ∠A′B′C′, which means that the corresponding angles in the two quadrilaterals have the same measure.

what is dilation of quadrilaterals?

Dilation of a quadrilateral is a transformation that resizes the shape of the quadrilateral without changing its shape. It is a type of similarity transformation in which each point of the quadrilateral is mapped to a new point by multiplying its coordinates by a constant scale factor. This scale factor can be greater than 1, which enlarges the quadrilateral, or less than 1, which shrinks the quadrilateral.

A dilation can be performed from any point, but in many cases, it is performed from the origin. If the scale factor of dilation is r, then the new coordinates of a point (x, y) can be found by multiplying both x and y by r:

(x', y') = (rx, ry)

Part A:

To find the vertices of A′B′C′D′ after dilation by a scale factor of r=12 from the origin, we can simply multiply the coordinates of each vertex of ABCD by 12.

So, the vertices of A′B′C′D′ are:

A′ = (212, 212) = (24, 24)

B′ = (412, 812) = (48, 96)

C′ = (812, 812) = (96, 96)

D′ = (612, 412) = (72, 48)

Therefore, the vertices of quadrilateral A′B′C′D′ are A′= 24:24, B′= 48:96, C′= 96:96, D′= 72:48.

Part B:

The quadrilaterals ABCD and A′B′C′D′ are similar, which means that they have the same shape but may differ in size. This is because a dilation is a transformation that preserves shape but changes size by a scale factor.

Furthermore, ∠ABC is congruent to ∠A′B′C′, which means that the corresponding angles in the two quadrilaterals have the same measure. This is a property of similar figures: corresponding angles are congruent.

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Answer:3.45

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

k = y/x

The mass of 6.56 pints of blood is 3.92 grams.

Given

The density of blood = 1.060 g/mL and mass of 6.56 pints

We have 1L = 2.113 pints

The density of a substance can be defined as the ratio of the mass of the substance to the volume of the substance. In chemistry, density is used to measure the concentration of the substance in the solution.

The expression for density = mass/volume

ρ = m/V

m = ρV

Mass = 1.060(1000ml/1L) × 6.56(1L/ 2.113)

= 3290.8 /1000

= 3.29g

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Answer:

x ≈ 27.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 70°

Opposite Leg = x

Adjacent Leg = 10

Step 2: Solve for x

Answer:

8 times blank = 48

Good luck!!!

The person is approximately 1233.35 feet from the monument

Let's call the distance from the person to the monument "x". We can use basic trigonometry to solve this problem.

From the person's point of view, the monument appears as a right triangle with the monument's height (400 feet) as the opposite side and "x" as the adjacent side. The angle of elevation (from the person to the top of the monument) is 18 degrees, which is the angle opposite the opposite side (the monument's height). So we can use the tangent function to find "x":

tan(18) = opposite / adjacent

tan(18) = 400 / x

x = 400 / tan(18)

x ≈ 1233.35 feet

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