If f(x) = -3x + 5, find f(6.4).

Answer:

\(Area = (x - 5)^2\)   and    \(Area = x^2 - 10x + 25\)

Step-by-step explanation:

Given

\(Length = (x - 5)\ units\)

Required

Determine the area of the square

\(Area = Length * Length\)

\(Area = (x - 5) * (x - 5)\)

This can be expressed as

\(Area = (x - 5)^2\)

Or:

\(Area = (x - 5) * (x - 5)\)

Open brackets

\(Area = x(x -5) -5(x - 5)\)

\(Area = x^2 - 5x - 5x + 25\)

\(Area = x^2 - 10x + 25\)

Hence, the expressions are:

\(Area = (x - 5)^2\)   and    \(Area = x^2 - 10x + 25\)

Answer:

Step-by-step explanation:

Answer:

y=-2x+5; slope is -2

Step-by-step explanation:

slope is rise/run. we can see it rises 2 and goes left one which would give us rise/run=2/-1=-2. that is our slope.

using y=mx+b to write the equation, m is slope and b is the y-int.. we can see that the y-int. is (0,5). we can plug 5 into b.

plugging b and m in we can get the equation: y=-2x+5

Answer: 21 years

Step-by-step explanation:

I used a rule of 72 calculator to find this answer. At a 3.5% interest rate, it will take 20.57 years to double an investment.

Step-by-step explanation:

8c-(3×3)=5

8c-9+9=5+9

8c=14

c=7/4

Equation of the statement eight less than the product of 3 and a number is equal to 5 is 3c - 8 = 5

Equation : When the value of two mathematical expressions are same is called as equation.

Given, that eight less than the product of 3 and a number is equal to 5.

So, converting the statement into equation form.

Statement : Eight less than the product of 3 and a number is equal to 5.

By using c as a variable,

Firstly,

Product of 3 and c = 3c

Next,

Eight less than the product = 3c - 8

Finally,

3c - 8 = 5

The required equation is  3c - 8 = 5 .

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Answer:

it would be C

Step-by-step explanation:

John sections a circular garden with a 12-yard diameter into equal sections. He wants to put a border around one section of the garden. To tenths, what is the perimeter of one section of the garden.

Given, Diameter of circular garden = 12 yardsRadius of garden = diameter/2 = 12/2 = 6 yardsArea of circular garden = πr² = π × 6² = 36π sq.yardsIf the circular garden is divided into ‘n’ equal parts, then the area of each part will be:Area of one part = (Area of the garden)/n= (36π)/n sq.yardsSince each part is circular in shape, its circumference will be the perimeter of that part:Circumference of one part = 2πr/n = (2π/ n) × 6= (12π/n) yardsSince the circumference has to be in tenths, we need to round off the value of (12π/n) to the nearest tenth. Here, we are rounding off to one decimal place:

Round off (12π/n) to one decimal place = 1.9nCircumference of one part = 1.9n yardsAccording to the question, we have to find the value of circumference of one part. So, we need to find the value of ‘n’.To find the value of ‘n’, we need to make use of the information given in the question.

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Step-by-step explanation:

so, if I understand correctly :

angle A = 22°

angle B = 53°

angle D = 38°

remember : the sum of all 3 angles in every triangle is always 180°.

so,

180 = 22 + 53 + AEB

angle AEB = 180 - 22 - 53 = 105°

per the attributes of crossing lines the angles between them are the same on both sides of any of the lines (just left-right mirrored).

so, CB and AD are crossing lines, therefore

angle AEB = angle CED = 105°

and then

180 = 105 + 38 + C

angle C = 180 - 105 - 38 = 37°

Step-by-step explanation:

£3500×20×3/100

£350×2×3=?

hope it can help

Answer:

$1,400.00

Step-by-step explanation:

20% of $3,500.00 is $700.00

$700.00  x  3 years is $2,1,00.00

$3,500.00 - $2,100.00= $1,400.00

The store manager must work 40 hours that week, so he earns in that week is: ₹40x, using the concept of salary system.

Salary systems, also known as compensation plans or pay structures, are a set of procedures, rules, and procedures used by companies to compensate employees for their labor. Paychecks that are sent weekly, biweekly, or bimonthly are only one aspect of salary schemes.

In contrast, time-based systems pay employees based on the amount of hours they put in during the pay period. Employee attendance at work is more closely correlated with compensation than employee performance. Systems that reward or are based on output connect employee remuneration to accomplishments.

Let, assume the store manager earn ₹x per hour.

So, he work 40 hours that week, that means -

In a week he earn ₹x × 40

So, in a week he earns ₹40x

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The limit of (f(x) + 1) / sin(x) as x approaches 0 is 0, the approximation for f(1/2) using Euler's method with two steps is 19/32 and the particular solution to the differential equation with the initial condition f(0) = -1 is: y(x) = -1 / (x²  + 2x + 1) - 1.

(a) To find the limit of (f(x) + 1) / sin(x) as x approaches 0, we can first rewrite the given differential equation as:

dy / dx = y²  (2x + 2)

Separating variables, we get:

dy / y²  = (2x + 2) dx

Integrating both sides, we have:

∫(1 / y² ) dy = ∫(2x + 2) dx

Integrating the left side gives:

-1 / y = x²  + 2x + C1

where C1 is the constant of integration.

Since we have the initial condition f(0) = -1, we substitute x = 0 and y = -1 into the above equation:

-1 / (-1) = 0²  + 2(0) + C1

1 = C1

So the particular solution is:

-1 / y = x²  + 2x + 1

Multiplying through by y gives:

-1 = y(x²  + 2x + 1)

Simplifying further:

y(x²  + 2x + 1) + 1 = 0

Now, to find the limit (f(x) + 1) / sin(x) as x approaches 0, we substitute x = 0 into the particular solution equation:

f(0)(0²  + 2(0) + 1) + 1 = 0

-1(0) + 1 = 0

1 = 0

Therefore, the limit of (f(x) + 1) / sin(x) as x approaches 0 is 0.

(b) Using Euler's method, we approximate the value of f(1/2) starting at x = 0 with two steps of equal size. Let's choose the step size h = 1/4.

First step:

x0 = 0, y0 = f(0) = -1

Using the differential equation, we have:

dy / dx = y²  (2x + 2)

dy = y²  (2x + 2) dx

Approximating the derivative using the Euler's method:

Δy ≈ y²  (2x + 2) Δx

Δy ≈ (-1)²  (2(0) + 2) (1/4)

Δy ≈ 1/2

Next, we update the values:

x1 = x0 + Δx = 0 + 1/4 = 1/4

y1 = y0 + Δy = -1 + 1/2 = 1/2

Second step:

x0 = 1/4, y0 = 1/2

Using the differential equation again:

dy / dx = y^2 (2x + 2)

dy = y²  (2x + 2) dx

Approximating the derivative using the Euler's method:

Δy ≈ y²  (2x + 2) Δx

Δy ≈ (1/2)²  (2(1/4) + 2) (1/4)

Δy ≈ 3/32

Updating the values:

x2 = x1 + Δx = 1/4 + 1/4 = 1/2

y2 = y1 + Δy = 1/2 + 3/32 = 19/32

Therefore, the approximation for f(1/2) using Euler's method with two steps is 19/32.

c)To find the particular solution to the differential equation dy/dx = y^2 (2x + 2) with the initial condition f(0) = -1, we can solve the separable differential equation.

Separating variables, we have:

dy / y² = (2x + 2) dx

Integrating both sides:

∫(1 / y² ) dy = ∫(2x + 2) dx

Integrating the left side:

-1 / y = x²  + 2x + C

where C is the constant of integration.

To find the particular solution, we substitute the initial condition f(0) = -1:

-1 / (-1) = 0²  + 2(0) + C

1 = C

So the particular solution is:

-1 / y = x²  + 2x + 1

Multiplying through by y gives:

-1 = y(x²  + 2x + 1)

Simplifying further:

y(x²  + 2x + 1) + 1 = 0

Therefore, the particular solution to the differential equation with the initial condition f(0) = -1 is: y(x) = -1 / (x²  + 2x + 1) - 1

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Step-by-step explanation:

a square has the same perimeter as a 5cm by 7cm rectangle. which of the following area of the square

Answer:

At sea level, the altimeter would read 0 feet. Any positive readings on the altimeter would indicate she is above sea level. Any negative readings on the altimeter would indicate she is below sea level.

Step-by-step explanation: PLATO

The height of rectangle is equal to its breadth or vertical side length.

A figure which has four straight sides along with 4 right angles is called rectangle.  Two equal side lengths are parallel to each other, and the bigger sides are called length of rectangle and smaller sides are called breadth.

we can determine the height of rectangle by the following formula

if a rectangle has length, A and breadth, B

we know the area of rectangle is the product of length and breadth.

Area =A×B

we know the position of A is along the horizontal and position of B is along the vertical. Therefore, breadth, B refers the height of rectangle.

if we know the value of area and length we will find the height.

breadth = Area/length

height = Area/length

hence, the height of rectangle is its vertical side length.

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Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

The independence of c(at) and n(a) as well as c(a) and n(at) can be proven by showing that the probability of one event occurring does not affect the probability of the other event occurring.

To verify that c(at) is independent of n(a), we need to show that the probability of c(at) does not depend on the probability of n(a). In other words, the occurrence of c(at) has no effect on the occurrence of n(a). Similarly, to show that c(a) is independent of n(at), we need to demonstrate that the probability of c(a) does not depend on the probability of n(at).

Let's assume that c and n are two random variables. c(at) means that the event c occurs at time t, while n(a) means that the event n occurs at the time a. We can infer that these two events are not related since they occur at different times. Therefore, c(at) and n(a) are independent of each other.

Similarly, c(a) means that the event c occurs at the time a, while n(at) means that the event n occurs at time t. Again, these two events occur at different times and are not related. Hence, c(a) and n(at) are independent of each other.

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Vertical angulation refers to the angle at which the x-ray beam is directed when taking dental radiographs. It is an important factor in obtaining clear and accurate images.

In both the paralleling and bisecting techniques, the group of answer choices remains the same. However, the vertical angulation is generally greater for images taken with the paralleling technique compared to the bisecting technique.

This is because the paralleling technique requires the x-ray beam to be directed more vertically in order to capture the entire tooth structure on the film. On the other hand, the bisecting technique involves angling the x-ray beam downward to intersect the imaginary bisector between the long axis of the tooth and the film.

Therefore, the vertical angulation differs depending on which technique is being used.

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If we have 3/5 bran muffins and Andrea has 10 muffins, she purchased 6.

Purchased in the past tense and past participle. In a sale, the transaction is finished when the buyer pays the seller. In a transaction, the buyer has two options: they either pay the seller in full or they can arrange financing with a third party, like a bank or leasing firm. The amount an investor pays for an investment is referred to as the purchase price, and when the investment is sold, that figure becomes the investor's cost basis for calculating gain or loss. Shoes Unlimited places an order with a foreign supplier for 10,000 pairs of sneakers. This entails the issuance of a purchase order, which is a formal declaration by the business that it will buy the specified kind and number of shoes.

Based on the given condition,

Formulate:

10*3/5

Calculate.

10*3/5

Simplify.

2*3

Calculate.

6

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Given that 22+2 de 23+3.2-92-27We begin by factoring the denominator of the rational function: 23+32-92-27-(2-a)(0-1) for ab.

We can write the given function as:2 + 2/(x - 2) + 3/(x + 3) - 9/(x - 9) - 27/(x + 27)To find the values of A, B, and C, we need to take the common denominator which is (x - 2)(x + 3)(x - 9)(x + 27)A

= 2(x + 3)(x - 9)(x + 27) + 2(x - 2)(x - 9)(x + 27)

= 50x³ + 5350x² + 41325x + 52590B

= 3(x - 2)(x - 9)(x + 27) - 9(x + 3)(x - 2)(x + 27)

= - 44x³ - 2919x² - 405x - 972C

= (x - 2)(x + 3)(x - 9) + 3(x - 2)(x + 27) - 9(x - 9)(x + 27)

= - 6x³ - 27x² + 1107x + 972.

The partial fraction decomposition is given as:2 + 2/(x - 2) + 3/(x + 3) - 9/(x - 9) - 27/(x + 27) = (25/35)/(x - 2) + (-11/6)/(x + 3) + (11/38)/(x - 9) + (- 1/2)/(x + 27) Now, we can integrate it as follows: ∫(25/35)/(x - 2)dx + ∫(-11/6)/(x + 3)dx + ∫(11/38)/(x - 9)dx + ∫(-1/2)/(x + 27)dx= 25/35 ln│x - 2│ - 11/6 ln│x + 3│ + 11/38 ln│x - 9│ - 1/2 ln│x + 27│ + c

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(a) To find the exact cost of producing the 71st food processor, we plug in x=71 into the cost function C(x) = 1900 + 90x - 0.4x^2.

C(71) = 1900 + 90(71) - 0.4(71)^2

C(71) = 1900 + 6390 - 1783.6

C(71) = 6506.4

Therefore, the exact cost of producing the 71st food processor is $6,506.40.

(b) The marginal cost is the derivative of the cost function with respect to x.

C'(x) = 90 - 0.8x

To approximate the cost of producing the 71st food processor using the marginal cost, we first calculate the marginal cost at x=70:

C'(70) = 90 - 0.8(70)

C'(70) = 90 - 56

C'(70) = 34

This means that the cost of producing the 71st food processor will increase by approximately $34 if one more unit is produced.

So, to approximate the cost of producing the 71st food processor using the marginal cost, we add the marginal cost at x=70 to the cost of producing the 70th food processor:

C(70) = 1900 + 90(70) - 0.4(70)^2

C(70) = 1900 + 6300 - 1960

C(70) = 6240

Approximate cost of producing the 71st food processor = $6,240 + $34

Approximate cost of producing the 71st food processor = $6,274

Therefore, using the marginal cost, we can approximate the cost of producing the 71st food processor to be $6,274.

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Answer:

D.   27/32

Step-by-step explanation:

Hope this helps :)

Answer: its D

Step-by-step explanation: :D

1+2 that what it is im juts joking idek how to solve that

Answer:

92%-100% for B

Step-by-step explanation:

Answer: 92%-100% for B

Step-by-step explanation:

It will take 0.05 yards of fabric to make one flag.

Given is that a pep squad is making mascot flags. They used 1.5 yards each of crimson, gold, and navy fabric to make 90 flags.

Assume that the total fabric needed is [x] yards. So -

(1.5 x 3) yards is needed to make 90 flags.

4.5 yards is need to make 90 flags.

1 flag will need (4.5/90) yards or 0.05 yards of fabric is needed.

Therefore, it will take 0.05 yards to make 1 flag.

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Answer: B

Step-by-step explanation:

Two- fifths

Answer:

The answer is 2/5 (B)

Step-by-step explanation:

1/3 divided by 5/6

To solve, we need to multiply the reciprocal of the divisor (5/6 in this case)

The reciprocal of 5/6 is 6/5

1/3*6/5 = 6/15 which can be reduced to 2/5

The answer is 2/5 (B)

Hope this helps!

Answer:

C and D

Step-by-step explanation:

Kil represents one thousand, and milli represents one thousandth.

Answer:

2x-4+3x+2=48

5x-2=48

5x=48+2

5x=50

x=10

Step-by-step explanation:

this

The numerical length of AB = 16 units and BC = 26 units

We have a Line Segment AC = 50 units and a point B is between A and C.

We have to determine the value of AB and BC.

A line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.

According to question, we have -

AC = 48 units

AB = 2x - 4

BC = 3x + 2

Now -

AC = AB + BC

48 = 2x - 4 + 3x + 2

48 = 5x - 2

5x = 50

x = 10

Therefore -

AB = 2x - 4 = 2 x 10 - 4 = 16

YZ = 3x + 2 = 3 x 10 - 4 = 26

Hence, the numerical length of AB = 16 units and BC = 26 units

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The correct choice is within your skills and abilities.

Once you get to determine things you are capable of and things you are not capable of, you will be able to concentrate on your strengths more. This will in turn produce big results as compared to if you opted to concentrate on your weaknesses.

It will also result in no or less time wasted in doing what you are less capable of.

Its almost close to impossible to be able to do everything. Each person is gifted in a certain area or skill or capability. We are all different and that's okay.

Its so important to concentrate in the areas you are more comfortable with. This will help you much with improving your skills and abilities.

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Answer:

Step-by-step explanation:

a you just had to say a

Answer:

36 inches squared

Step-by-step explanation:

24/4= 6

6*6=36

The approximate P-value for this test is D. 0.01267.

From the information, Mrs. Peterson claims to produce random numbers from 1 to 5 (inclusive) on her calculator, but you've been keeping track. In the past 80 selections, the number "five" has come up only 8 times.

The p(cap) will be:

= 8 / 80

= 0.1

The z score will be:

= (0.1 - 0.2) / (✓0.2(0.8)/80

= -0.1 / ✓0.0019

= -2.236

= -2.24

By using the distribution table after getting the z score, the p value is 0.01267.

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