Find the general solution of the given higher-order differential equation. y''' + 3y'' + 3y' + y = 0

Answer:

52

Step-by-step explanation:

given that the number is a

The expression for Ten less than 5 times the value of a number is given by

5a - 10

10 times the quantity of  12 more than one-fourth of the number.

a/4 is one-fourth  of number

12 more than one-fourth of the number

a/4 + 12

expression for  10 times the quantity of  12 more than one-fourth of the number. is given by

10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120

Given that the above two expression are equal

equating them we have

5a - 10 = 2.5a + 120

adding 10 both sides

=>5a - 10+ 10  = 2.5a + 120 + 10

=> 5a = 2.5a + 130

subtracting 2.5a from both sides

=> 5a - 2.5a = 2.5a + 130 - 2.5a

=> 2.5a = 130

dividing both side by 2.5

=> a = 130/2.5 = 52

Thus, value of a is 52

Answer:

Left: -1 2/3

Right: -1 1/4

Answer:

The value of t(1) is smaller than the value of (3)

Step-by-step explanation:

Given function:

              f(x) = 2x + 3x + 10

Insert the value x = 1 into the function:

f(1) = 2(1) + 3(1) + 10 = 5 + 10  = 15

Insert the value x = 3 into the function:

f(3) = 2(3) + 3(3) + 10 = 6 + 9 + 10  = 25

f(3) is larger than f(1)

Answer:

yeah fr

Step-by-step explanation:

Answer:

A square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 ×3

HOPE IT WILL HELP U!!!!!!

Answer:

(x/2,(y/2)

Step-by-step explanation:

(16/2,24/2)

(8,12)

Answer:

24 miles in 1 hour

144 divded by 6 = 24

Hope this helps!  If so I would appricate brainliest

Answer:

Step-by-step explanation:

In order to solve this question we use ratio and proportion

From the question, for 6 hours John drove 144 miles

If 6 hours = 144 miles

Then one hour would be

[tex] \frac{144 \times 1}{6} = \frac{144}{6} \\ [/tex]

We have the final answer as

The correct and complete question is shown below;

The random variable X denotes the GMAT scores of MBA students who were accepted to top MBA programs in Fall 2012. Assume that is normally distributed with a mean [tex]\mu_x[/tex] = 675 and a standard deviation [tex]\sigma_x = 30[/tex]

Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725?

Answer:

The probability that the student's GMAT score is higher than 725 = 0.3928

Step-by-step explanation:

From the given information:

Let X be the random variable that follows a normal distribution;

Then;

[tex]X \sim N( \mu_x = 675, \sigma_x = 30)[/tex]

To objective is to determine the probability that [tex]P(X > 725 | X > 710)[/tex]

[tex]P(X > 725 | X > 710)= \dfrac{P(X > 725 \cap X > 710 )}{P(X > 725)}[/tex]

[tex]\dfrac{P(X > 725 )}{P(X > 710)}=\dfrac{1 - P(X < 725) }{1- P(X < 710)}[/tex]

By using the EXCEL FORMULA:  [tex]"= NORMDIST(x, \mu_x , \sigma_x , 1)"[/tex]

P(X< 725) = [tex]" = NORMDIST(725,675,30,1)"[/tex]

P(X< 725) = 0.9522

P(X< 710) = [tex]" = NORMDIST(710,675,30,1)"[/tex]

P(X< 710) =0.8783

[tex]P(X > 725 | X > 710)=\dfrac{1 - 0.9522}{1- 0.8783}[/tex]

[tex]P(X > 725 | X > 710)=\dfrac{0.0478}{0.1217}[/tex]

[tex]P(X > 725 | X > 710)=0.3928[/tex]

Answer:

b= - 4/3 + 2a/3

Step-by-step explanation:

The required simplified expression for b is b = [2a - 4] / 3.

Given that,
An expression is given,
2a -3b = 4
The above-given expression should be reorganized in order to solve b.

Mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
2a - 3b = 4
-3b = 4  - 2a
b = [4 - 2a ] / -3
b = [2a - 4] / 3

Thus, the required simplified expression for b is b = [2a - 4] / 3.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

X=-52

Step-by-step explanation:

-4(X+10)-6=-3(x-2)

-4x-40-6=-3x+6

-4x+3x=6+46

-x=52

X=-52

Answer:

$1,738.91

Step-by-step explanation:

Future value = A(1+i)^n

A= $1,500

i = 3%

n - 5

Future value = $1,500*(1+0.03)^5

Future value = $1,500*(1.03)^5

Future value = $1,500*(1.03)^5

Future value = $1,500*1.1592740743

Future value = $1738.91111145

Future value = $1,738.91

$1,738.91 is the amount of money you will meet in the account when you need it for college in 5 years.

Answer:

The  angle of depression from Platform A to Platform B is [tex]43.1^{\circ}[/tex]

Step-by-step explanation:

Refer the attached figure

The horizontal distance between the  platforms is 500 feet i.e. BC = 500

The length of the zip-line is 685 feet i.e. AB = 685

We are supposed to find the  angle of depression from Platform A to Platform B

Hypotenuse = 685

Base = 500

[tex]Cos \theta = \frac{Base}{Hypotenuse}\\Cos \theta = \frac{500}{685}\\\theta = cos^{-1}(\frac{500}{685})\\\theta = 43.11^{\circ}[/tex]

Hence  the  angle of depression from Platform A to Platform B is [tex]43.1^{\circ}[/tex]

Answer:

56 inches I believe.

I'm not 100% sure.

The surface area is 50 square inches

Answer:

-3/11

Step-by-step explanation:

using slope intercept form, y=mx+b

we know from x=0 that b=5

so we just substitute one x value m(-11)+5=8

solve for m and you get the slope

Step-by-step explanation:

The snowball is spherical in nature

The total surface area of the ball = 4πr²

Or 4π(d/2)²

S = 4πd²/4

S = πd²

d is the diameter of the ball

The rate at which the area is decreasing is expressed as;

dS/dt = dS/dd • dd/dt

dd/dt is the rate at which the diameter is decreasing

dS/dd = 2πd

dS/dt = 2πd • dd/dt

dS/dt = 2π(9) • dd/dt

8 = 18π•dd/dt

dd/dt = 8/18π

dd/dt = 4/9(3.14)

dd/dt = 4/28.26

dd/dt = 0.1415cm/min

Hence the diameter is decreasing at the rate of 0.1415cm/min

Answer:

68 % = .68

Step-by-step explanation:

Answer:

y = 15x + 8         slope = 15         y-intercept = 8

Step-by-step explanation:

Answer:

693 miles

Step-by-step explanation:

Given that :

Distance between Chicago to Pittsburgh = 462 Mi

On phone :

462 Miles = 2 inches

Using the same scale :

If distance between two cities is 3 inches, how many miles apart are they?

Let distance = d

462 miles = 2 inches

d = 3 inches

Cross multiply

2d = 462 * 3

2d = 1386

d = 1386 / 2

d = 693 miles

Answer:

b

Step-by-step explanation:

here is the answer I just took a picture because I already answered this for someone eles

Answer:

49 red apples and 14 green apples

Step-by-step explanation:

63 divided by (7+2) equals 7, 7 times 7 equals number of red apples and 7 times 2 equals the number of green apples

Answer:

y = .25x + 3

Step-by-step explanation:

First, you need to find the slope of the equation which is change in y over change in x. For this question, it's (6-2)/(12-(-4)) = 4/16 = 1/4

After, choose a point and plug it into the point slope formula: y - y0 = m(x - x0)

I chose the first point.

You should get y - 2 = .25(x + 4)

y -2 = .25x + 1

y = .25x + 3

To use the slope-intercept form, we need a slope.

Recall that the slope of a line m = (y2 - y1) / (x2 - x1). We are given the coordinates of two points, both of which lie on the line (the line passes through them): (-4,2) and 12,6).

So given these two points, let's let x1 = -4 and y1 = 2; and let's let x2 = 12 and y2 = 6. Substituting these values into the equation for the slope of a line, we get

m = (6 - 2) / [12 - (-4)] = 4 / 16, or m = 1/4

So now we have the slope, and we can use the point-slope form of the equation of a line to help us determine the y-intercept. The point-slope form is y - y1 = m * (x - x1)

Substituting our slope m = 1/4 and either one of the points (let's say the first point), we have

y - 2 = 1/4 * [x - (-4)] = 1/4 * (x + 4)

Now add 2 to both sides of this equation, and we have y = 1/4 * (x + 4) + 2

Using the distributive law, we can further reduce this to y = 1/4 * x + 1 + 2, or y = 1/4 * x + 3

Finally, the y-intercept of a line is where the line intersects the y-axis or, mathematically speaking, where the x-coordinate is equal to zero. So let's let x = 0 in the equation above, and solve for y. Substituting x = 0 into the equation for our line, we now have

y = 1/4 * 0 + 3 = 3

So our y-intercept is 3 (three). Now we can write the equation for our line in the slope-intercept form:

y = m * x + b, where m is the slope and b is the y-intercept. Substituting for m and b, we get

y = 1/4 * x + 3.

So the equation in slope-intercept form of the line that passes through points (-4,2) and (12,6) is

y = 1/4 * x + 3

(To check your answer, substitute either one of the points into the equation...)

Answer:

There's no evidence to show that the recent experience suggests a decline in spending.

Step-by-step explanation:

We are given;

Population mean; μ = $2.5

Population Standard deviation; σ = $0.9

Sample mean; x¯ = $2.1

Sample size; n = 18

Significance level; α = 0.01

Let's define the hypothesis;

Null hypothesis; H0: μ ≥ $2.5

Alternative hypothesis; Ha: μ < $2.5

z-score formula is;

z = (x¯ - μ)/(σ/√n)

z = (2.1 - 2.5)/(0.9/√18)

z = -0.4/0.2121

z = -1.886

Using the p-value from z-score calculator attached and using z = -1.886; α = 0.01; one tail; we have;

P-value = 0.2965

This is more than the significance level. Thus, we will fail to reject the null hypothesis and conclude that there is no evidence to show that the recent experience suggests a decline in spending.

Answer:

pleae do my problem and ill help u

how many one and one fourths are in four and one half

Step-by-step explanation:

Answer:

1 gallon of gas

= 120/4

= 30 miles

Annswer girl

Step-by-step explanation:

just trying to get answers

Answer:

As a fraction: [tex]\mathbf{\dfrac{363}{2}}[/tex]

As a colon,  363:2

By using the word to; we have: 363 to 2

Step-by-step explanation:

A ratio is a comparison of two quantities. We can write a ratio as a fraction, using the word “to,” or using a colon.

A rate is a ratio that compares two different units, such as distance and time, or a ratio that compares two different things measured with the same unit, such as cups of water and litres of petrol.

We can use a ratio to compare the number of days regardless of employing any professional sports events each year with the total number of days in a year.

The ratio with which we can write, that compares days with games in a year with two days without them can be written in three ways.

Suppose there are 365 days in a year and it appears that two days in that year exist without a game.

i.e.

365 - 2(days without game) = 363 days with a game

Then:

As a fraction: [tex]\mathbf{\dfrac{363}{2}}[/tex]

As a colon,  363:2

By using the word to; we have: 363 to 2

Answer:

a to b        a:b         a/b

Ratio that compare days with games to days without them:

1- 363 to 2

2- 363 : 2

3- 363 / 2

Step-by-step explanation:

Ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

A ratio compares two quantities by division, with the dividend.

We can write a ratio to compare the number of days without any professional sports events each year with the total number of days in a year.

There are three ways to write a ratio to express the relationship between two quantities.

a to b        a:b         a/b

Ratio that compare days with games to days without them:

1- 363 to 2

2- 363 : 2

3- 363 / 2

These are the three ways to describe a ratio.

Answer:

35

Step-by-step explanation:

set 2x-20 = x+15 and solve

Answer:

50

Step-by-step explanation:

EDGE2021

Answer:

A. or 7 because to get to 10 from 8 u add 2 adding 2 on to 5 gets u 7