if y=cos x/x
prove d²y/dx² +2/x dy/dx +y = 0​

Answer:

-7x -1

Step-by-step explanation:

-x - (1 + 6x)

Distribute the minus sign

-x - 1 - 6x

Combine like terms

-7x -1

Answer:

Q1

slope= 100 (because 200/100=100)

y inter = 400 (400 is the initial starting point)

Y= 100x + 400

Q2

Slope= 15 (increase in 15 every time)

y inter= 0 (15-15=0)

y=15x

Step-by-step explanation:

Answer:

Q1

Step-by-step explanation:

Answer:

4m = 56

Step-by-step explanation:

4 * m = 56

4m = 56

4/4m = 56/4

m = 14

Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

On the translation of △ABC to △A′B′C′, the rule applied to the vertices is:

(x,y) -> (x + 4, y).

Hence it was translated 4 units right.

On the translation of △A′B′C′​ to △A′′B′′C′', the rule is given by:

(x,y) -> (-y,x).

Hence it was rotated 90 degrees counterclockwise about the origin.

The triangle keeps the same size after the translations, hence:

Because the transformations are both rigid, the pre-image and the image are congruent.

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EXPLANATION:

Given that :

R ={ (x-1),(x-2) ,x = (2,3,4,5)}

Put x = 2 then (2-1),(2-2) = (1,0)

Put x = 3 then (3-1),(3-2) = (2,1)

Put x = 4 then (4-1),(4-2) = (3,2)

Put x = 5 then (5-1),(5-2) = (4,3)

R = { (1,0),(2,1),(3,2),(4,3)}

Domain = {1,2,3,4}

Range = {0,1,2,3}

Answer:

HAHAHAHA

Step-by-step explanation:

Answer:

good work!

Step-by-step explanation:

10/15 is 3/4

3/4 is 75%

75% is a good scoring in a test

Answer:

11

Step-by-step explanation:

11 times 5 is 55

11 times 8 is 55

Answer:

25

Step-by-step explanation:

5+5+5+5+5=25

Answer:25

Step-by-step explanation:

This table shows the frequency of each number obtained after throwing the die 35 times

To prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.

Numbers: 1, 2, 3, 4, 5, 6

Frequency: 5, 14, 6, 4, 5, 1

Based on the given numbers, the frequency table would look like this:

Number   | Frequency

1                      5

2                     14

3                      6

4                      4

5                      5

6                       1

This table shows the frequency of each number obtained after throwing the die 35 times.

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Answer:

For a client who is new to strength training and learning new movement patterns, it is ideal to start with bodyweight exercises and light resistance training. This will help them focus on proper form and technique without risking injury. Additionally, exercises that engage multiple muscle groups and involve functional movements, such as squats, lunges, and push-ups, are recommended as they provide a good foundation for overall strength and fitness. It is important to progress slowly and gradually increase resistance over time as the client becomes more comfortable with the movements and their strength improves. A certified personal trainer or strength coach can provide guidance and create a tailored program to meet the individual needs and goals of the client.

Answer:

x< 4 or x>4

Interval Notation  \(\left(-\infty \:,\:4\right)\cup \left(4,\:\infty \:\right)\\\)

Step-by-step explanation:

its D

It will take Adrian 16 full months to save enough money for the electric keyboard.

- Price of the keyboard (with tax) at Macelli's: $2,400
- Adrian's monthly savings: $150
We need to find how long it will take Adrian to save for the keyboard. To do this, we'll divide the total cost of the keyboard by his monthly savings and round up to the nearest full month.
Step 1: Divide the total cost by monthly savings.
Time (in months) = (Total Cost) / (Monthly Savings) = ($2,400) / ($150)
Step 2: Calculate the result.
Time (in months) = 16
So, it will take Adrian 16 full months to save enough money for the electric keyboard.

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The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:

· 1 headset out of 9 total prizes

· 1/9 = headset

· 1/9 x 100 = 11.11%

· 100 - 11.11 = 88.89%

Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.

The value of the expression is 1.766.

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.

Given the expression,

2\(e^{3x}\) = 400

divide by 2 into both sides

\(e^{3x}\) =  400/2

\(e^{3x}\) = 200

converting the expression in form of a log,

ln(\(e^{3x}\))= ln(200)

log(aⁿ) = n log(a)

3x ln(e) = ln(200)  [ln(e) = 1 and ln(200) = 5.2931]

3x = 5.2931

x = 1.766

Hence Option B is correct.

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Answer:

There are 3 terms.

Answer:

augest 12th

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2x + 2y = -10

2x - 3y = 4

-y = -6

y = 6

2x - 18 = 4

2x = 22

x = 11

(11, 6)

Answer:

b. 56%

Step-by-step explanation:

Answer:

the probability that the sample mean will be larger than 1224 is  0.0082

Step-by-step explanation:

Given that:

The SAT scores have an average of 1200

with a  standard deviation of 60

also; a sample of 36 scores is selected

The objective is to determine  the probability that the sample mean will be larger than 1224

Assuming X to be the random variable that represents the SAT score of each student.

This implies that  ;

\(S \sim N ( 1200,60)\)

the probability that the sample mean will be larger than 1224 will now be:

\(P(\overline X > 1224) = P(\dfrac{\overline X - \mu }{\dfrac{\sigma}{\sqrt{n}} }> \dfrac{}{}\dfrac{1224- \mu }{\dfrac{\sigma}{\sqrt{n}} })\)

\(P(\overline X > 1224) = P(Z > \dfrac{1224- 1200 }{\dfrac{60}{\sqrt{36}} })\)

\(P(\overline X > 1224) = P(Z > \dfrac{24 }{\dfrac{60}{6} })\)

\(P(\overline X > 1224) = P(Z > \dfrac{24 }{10} })\)

\(P(\overline X > 1224) = P(Z > 2.4 })\)

\(P(\overline X > 1224) =1 - P(Z \leq 2.4 })\)

From Excel Table ; Using the formula (=NORMDIST(2.4))

P(\overline X > 1224) = 1 -  0.9918

P(\overline X > 1224) = 0.0082

Hence;  the probability that the sample mean will be larger than 1224 is  0.0082

Answer:

21 cent per card

Step-by-step explanation:

5.25 / 25 = .21

because 25 can be divided into the first 2 numbers

Answer:

  $20.07

Step-by-step explanation:

You want Marissa's total bill when she bought three cartons of ice cream at $4.59 each and two packages of plastic bowls at $3.00 each, with the plastic being taxed at 5%.

The amount for each item will be the product of the cost per unit and the number of units.

  ice cream total = 3 × $4.59 = $13.77

  plastic total = 2 × $3.00 = $6.00

The tax is applied only to the plastic, so the amount of tax is ...

  5% × $6.00 = $0.30

The total bill is the sum of the item costs and the tax:

  $13.77 +6.00 +0.30 = $20.07

Marissa's total bill was $20.07.

Answer:

Step-by-step explanation:

We can use the process of elimination as

5x + 4y = 24

5(x + 7y = 11) —>          5x + 35y = 55

5x + 4y = 24

-(5x + 35y = 55)

—————————

-31y = -31

-31y/-31 = -31/-31

y=1

Simultaneous equations are equations containing two sets of expressions and two unknown.

The value of y if x + 4y = 24 and x + 7y= 11 according to the question is 1

Given the simultaneous equation

5x + 4y = 24 ........... 1

x + 7y= 11 ..............2

We are to show that y = 1

Using the substituting method;

From equation 2, x = 11 - 7y ................ 3

Substitute equation 3 into 1;

5(11-7y) + 4y = 24

55 - 35y + 4y = 24

55 - 31y = 24

-31y = 24 - 55

-31y = -31

y = 31/31

y = 1

This shows that the value of y if x + 4y = 24 and x + 7y= 11 is 1

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Answer:

if u free can u come please...

Answer:  try downloading an app for math

Step-by-step explanation:

It helps me

Answer:

(a) \(y=(2x+6)(x-1)\)

(b)  \(y=2x^2+4x-6\)

Step-by-step explanation:

Part (a)

The zeros are where the curve intersects the x-axis (where \(y = 0\))

From the points given, the points of intersections are (-3, 0) and (1, 0)

\(x=-3\implies x+3=0\)

\(x=1 \implies x-1=0\)

Therefore, we can write the equation as:

\(y=a(x+3)(x-1)\)

(where \(a\) is some constant to be determined)

The y-intercept is when \(x = 0\).

From the points given, the point of intersection with the y-axis is (0, -6)

Therefore, substitute \(x = 0\) into the equation, set it to -6 and solve for \(a\):

\(\implies a(0+3)(0-1)=-6\)

\(\implies a(3)(-1)=-6\)

\(\implies -3a=-6\)

\(\implies a=\dfrac{-6}{-3}=2\)

Therefore, the final equation of the parabola is:

\(y=2(x+3)(x-1)\)

in fully factored form: \(y=(2x+6)(x-1)\)  or  \(y=(x+3)(2x-2)\)

Part (b)

Standard form of a quadratic equation:  \(y=ax^2+bx+c\)

To express the equation in standard form, simply expand:

\(\implies y=(2x+6)(x-1)\)

\(\implies y=2x^2-2x+6x-6\)

\(\implies y=2x^2+4x-6\)

Answer:

-4

Step-by-step explanation:

1. 6(4 - n) = 48

2. 24 - 6n = 48

   -24          -24

3. -6n = 24

4. n = -4

\(\huge\boxed{Hi~there!}\)

Let's say we have a number s.

Six times the difference of 4 and s is equal to 48.

6(4-s)=48

Distribute 6:

24-6s=48

-6s+24=48

Move 24 to the right, using the \(\pmb{opposite\;operation}\).

Since the opposite of addition is subtraction, we subtract 24:

-6s=48-24

-6s=24

Divide both sides by -6:

\(\huge\boxed{Answer:{\boxed{\sf{s=-4}}}}\)

Hope it helps! Enjoy your day! :)

~Just a determined gal

* The crown would be greatly appreciated ;)

\(\bf{erutaNtneliS\)

Answer:

\(\huge\boxed{\sf \frac{2\sqrt{7}-4 }{3}}\)

Step-by-step explanation:

This is a rationalizing denominator question.

\(= \displaystyle \frac{2}{2+\sqrt{7} } \\\\Multiply \ and \ divide \ by \ conjugate \ 2 - \sqrt{7} \\\\= \frac{2}{2+\sqrt{7} } \times \frac{2-\sqrt{7} }{2-\sqrt{7} } \\\\\underline{\sf Using \ formula:}(a+b)(a-b)=a^2-b^2\\\\= \frac{2(2-\sqrt{7}) }{(2)^2-(\sqrt{7})^2 } \\\\= \frac{4-2\sqrt{7} }{4-7} \\\\= \frac{4-2\sqrt{7} }{-3} \\\\= \frac{-(4-2\sqrt{7}) }{3} \\\\= \frac{2\sqrt{7}-4 }{3} \\\\\rule[225]{225}{2}\)

The value of 14.5% of 1,800 is 261 by using the concept of percentage.

In mathematics, a percentage is a value or ratio expressed as a fraction of 100.

The term percent is derived from the Latin per centum, which means "hundred" or "by the hundred." The sign for "percent" comes from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and finally disappeared entirely. The "cento" was reduced to two circles divided by a horizontal line, from which the present "%" symbol was derived.

A % is a relative figure that indicates one-tenth of a quantity. One percent (symbolized 1%) is the one-hundredth part; consequently, 100 percent denotes the complete amount, and 200 percent specifies twice the supplied amount.

Given,

14.5% of 1,800

=(14.5/100)×1800

=261

Therefore, the answer is 261.

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Answer:

33%

Step-by-step explanation:

decimal x 100