5. Solve the differential equation y" - 5y "+7y'-3y=0.​

Answer:

30 quarts

Step-by-step explanation:

4 quarts = 1 gallon

7.5 gallons * 4 quarts/ 1 gallon = 30 quarts

Answer:

x = 7

Step-by-step explanation:

27 = 7x + 6 - 4x      (Given)

27 = 3x + 6             (Simplify)

27 - 6 = 3x + 6 - 6  (Subtract 6 on both sides)

21 = 3x                    (Simplify)

21/3 = 3x/3             (Divide 3 on both sides)

7 = x                        (Simplify)

Answer: B) 3 × 3 × 3 × 3 × 3

Concept:

In factorization, the easiest way is to divide the term multiple times by the least factor each time until the answer is not divisible. Then, multiply all the factors and the remainder together to get the factorization of a term.

Solve:

243 ÷ 3 = 81

81 ÷ 3 = 27

27 ÷ 3 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1

Therefore, the prime factorization of 243 = 3 × 3 × 3 × 3 × 3

Hope this helps!! :)

Please let me know if you have any questions

Answer:

B

Step-by-step explanation:

how could it not be??

Answer:

x = 7 e y = -24

Step-by-step explanation:

The equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.

A circle can be characterized by its centre's location and its radius's length.

Let the centre of the considered circle be at (h,k) coordinate and the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x-h)²+(y-k)²=r²

The equation of a circle is given as (x-h)²+(y-k)²=r², where (h,k) is the coordinate of the centre of the circle, and r is the radius of the circle.

Since the given circle is needed to pass through the origin and the coordinates of the centre of the circle are (7, -24). Therefore, the distance between the origin and (7, -24) will the radius of the circle.

Therefore, the radius of the circle will be,

Radius = √[(7-0)² + (-24 - 0)²]

           = √(49 + 576)

           = √(625)

           = 25

Now, the equation of the circle that is centred at (7, -24) and has a radius of 25 units is,

(x - h)² + (y - k)² = r²

[x - 7]² + [y - (-24)]² = (25)²

(x - 7)² + (y + 24)² = 625

Hence, the equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.

Learn more about the Equation of a circle here:

https://brainly.com/question/10165274

#SPJ5

Answer:

x is 3

Step-by-step explanation:

[tex]{ \bf{U _{2} - U _{1} = U _{3} -U _{2} }}[/tex]

[tex]{ \tt{3x - (x + 2) = (4x + 1) - 3x}} \\ { \tt{2x - 2 = x + 1}} \\ { \tt{x = 3}}[/tex]

Answer:

value of x is 6

Step-by-step explanation:

got it right on edgenuit

Answer:

84

Step-by-step explanation:

[tex]4^3+4^2+2^2= 64+16+4=84[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{4^3 + 4^2 + 2^2}}[/tex]

[tex]\huge\boxed{\mathsf{4^3}}[/tex]

[tex]\huge\boxed{\mathsf{= 4 \times 4 \times 4}}[/tex]

[tex]\huge\boxed{\mathsf{= 16\times 4}}[/tex]

[tex]\huge\boxed{\mathsf{= \bf 64}}[/tex]

[tex]\huge\boxed{\mathsf{4^2}}[/tex]

[tex]\huge\boxed{\mathsf{= 4 \times 4}}[/tex]

[tex]\huge\boxed{\mathsf{= \bf 16}}[/tex]

[tex]\huge\boxed{\mathsf{2^2}}[/tex]

[tex]\huge\boxed{\mathsf{= 2 \times 2}}}[/tex]

[tex]\huge\boxed{\mathsf{= \bf 4}}[/tex]

[tex]\huge\boxed{\mathsf{= 64 + 16 + 4}}[/tex]

[tex]\huge\boxed{\mathsf{= 80 + 4}}[/tex]

[tex]\huge\boxed{\mathsf{= \bf 84}}[/tex]

[tex]\huge\boxed{\mathsf{Answer: 84}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

78.5

Step-by-step explanation:

πr²

= π×5²

= 25π

= 78.5

Answer:

x = 15.8

Hope this helps...Have a good day!!

Answer:

The answer is 235

Step-by-step explanation:

it's just basic long divistion.

Cost of 1 kg = $9

So, cost of 5 kg = $9 × 5 = $45

Answer:

[tex]\huge\boxed{width=12cm}[/tex]

Step-by-step explanation:

[tex]l-length\\w-width\\P-perimeter[/tex]

The formula of perimeter of the rectangle:

[tex]P=2l+2w=2(l+w)[/tex]

Substitute:

[tex]l=6w\\\\P=168cm[/tex]

[tex]168=2(6w+w)\\168=2(7w)\\168=14w\qquad|\text{divide both sides by 14}\\\\\dfrac{168}{14}=\dfrac{14w}{14}\\\\12=w\Rightarrow w=12(cm)[/tex]

Answer:

Width of rectangle = 12 cm

Step-by-step explanation:

Let us assume that,

→ Length = 6x

→ Width = x

→ Perimeter = 168 cm

Perimeter of rectangle,

→ P = 2(L + W)

Forming the equation,

→ 168 = 2(6x + x)

Now the value of x will be,

→ 168 = 2(6x + x)

→ 2 × 7x = 168

→ 14x = 168

→ x = 168/14

→ [ x = 12 ]

Then the length and width is,

→ Length = 6x = 6(12) = 72 cm

→ Width = x = 12 cm

Hence, required width is 12 cm.

Answer:

Step-by-step explanation:

Answer:

angle 1 = 80

angle 2 = 80

Step-by-step explanation:

in rhombus all sides are equal and also diagonals bisects each other

so

Answer:

1 = tenths place

7= hundredths place

8= thousandths place

9= ten-thousandths place

Step-by-step explanation:

Answer:  Radius is 21.2537 units, to 6 sig figs

Step-by-step explanation:  

I'll assume the circumference is simply 133.541 units^2.  Circumference (C) is C = 2*pi*R, where R is the radius.  Thus, R = C/(2*pi),

 R = (133.541/2*(3.14159) to 6 sig figs

 R = 21.2537 units

Answer:

The period of y = sin(x) is 2π

The period of y = sin x would be equal to  2π.

The period of the function y = sin x refers to the length of one complete cycle of the graph of the sine function.

In this case, the period is calculated by the coefficient of x, which is 1.

For the function y = sin x, the period is 2π which means that the graph of y = sin x repeats itself every 2π units along the x-axis.

If the graph of y = sin x. Starting from the point (0,0), as x increases by 2π, then the y-values will repeat the same pattern. This repetition continues indefinitely as x increases or decreases.

Therefore, we can conclude that the period of y = sin x is 2π.

Learn more about the period here;

https://brainly.com/question/14322515

#SPJ6

Answer:

(2 + 1)^2 + 2 = 10 - 6  

Falso

Step-by-step explanation:

109 / 5000  

El lado izquierdo

11

 no es igual al lado derecho

4

, lo que significa que la declaración dada es falsa.

Falso

Answer:

13, 200 feet or 158,400 inches  are in 2.5 miles

Step-by-step explanation:

5,280 feet * 2.5 miles= 13,200 feet

Answer:

x = 3  or  x = -2

Step-by-step explanation:

x² - x - 6 = 0

(x - 3)(x + 2) = 0

x - 3 = 0  or  x + 2 = 0

x = 3  or  x = -2

Answer:

I think A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer with Step-by-step explanation:

To change the mixed fraction into improper fraction you multiply the denominator with the whole and add to numerator.

For example:  4 1/5 = (5*4)+1/5=21/5

To change improper into proper mixed fraction,

Divide the numerator by denominator and write the remainder on numerator

For example: 7/2= 3 1/2

Answer:

Step-by-step explanation:

Slope intercept form is y = mx + b where m is the slope and b is the y intercept SO

y = mx + b

3y - 9 = 12x

3y = 12x + 9 (divide by common denominator 3)

y = 4x + 3

=(

2

1

)

2

+(

2

1

)

2

−1

2

=

2

−1

Therefore, L.H.S = R.H.S

Answer:

D

Step-by-step explanation:

5:2::20:4::30:6::40:8

20/4 is 5

30/6 is 5

40/8 is 5

Answer:

8r+8pg-pq

Step-by-step explanation:

The subtractable pg cancels out one of the 9 pg's. So 9 pg-1 pg= 8 pg

Hope this helps!

Answer

x = 13 or x = 23

Step-by-step explanation:

|x-18| = 5 means there are two possibilities.

x-18 can equal 5 or equal -5 because absolute value sign makes everything inside it positive.

so you can write two equations and solve

first is x-18 = 5

x-18 + 18 = 5 + 18

x = 23

the second is x - 18 = -5

x - 18 + 18 = -5 + 18

x = 13

The two solutions are 13 and 23.

The simplification of the expression [tex]xy-5x+y^2xy-5x+y ^2[/tex]  gives - 335.

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

Given;

[tex]xy-5x+y^2xy-5x+y ^2[/tex]

Substitute x = -3 and y = 5.

[tex]-3\times 5-5\times -3+5^2\times -3\times 5-5\times -3+5 ^2[/tex]

= -15 + 15 - 375 + 15 + 25

= -335

Learn more about simplification;

https://brainly.com/question/17579585

#SPJ1

Step-by-step explanation:

In geometry, a transversal is a line that intersects two or more other (often parallel ) lines. In the figure below, line n is a transversal cutting lines l and m . When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles

Answer:

See below.

Step-by-step explanation:

17.)

[tex]x+100+120+100=360\\x+320=360\\x=40[/tex]

18.)

[tex]x+150+77+48=360\\x+275=360\\x=85[/tex]

19.)

[tex]x+122+92+76=360\\x+290=360\\x=70[/tex]

20.)

[tex]x+115+85+60=360\\x+260=360\\x=100[/tex]

x ³ = 1

x ³ - 1 = 0

x ³ - 1³ = 0

Factorize the right side as a difference of cubes:

(x - 1) (x ² + x + 1) = 0

Then

x - 1 = 0   or   x ² + x + 1 = 0

The first equation yields x = 1 as a root.

For the other equation, rearrange and complete the square to get the other two roots,

x ² + x + 1/4 = -3/4

(x + 1/2)² = -3/4

x + 1/2 = ±√(-3/4) = ± i √3/2

x = -1/2 ± i √3/2

x = (-1 ± i √3)/2

Since complex roots occurs in conjugate pairs, taking the sum of these two roots eliminates the imaginary part:

(-1 + i √3)/2 + (-1 - i √3)/2 = (-1 - 1)/2 = -2/2 = -1

and adding to 1 indeed shows that the sum of roots is zero.

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{1}{a^{m} }[/tex] ⇔ [tex]a^{-m}[/tex]

64 = [tex]2^{6}[/tex] , then

[tex]2^{p}[/tex] = [tex]\frac{1}{64}[/tex] = [tex]\frac{1}{2^{6} }[/tex] = [tex]2^{-6}[/tex]

Since the bases on both sides are equal, both 2, then equate exponents

p = - 6