5 4th power times 5 to the 2 power

Answer:

The general solution of the equation is y = [tex]\frac{A}{3}e^{3t}[/tex] + 5

Step-by-step explanation:

Since the differential equation is given as y'(t) = 3y -5

The differential equation is re-written as

dy/dt = 3y - 5

separating the variables, we have

dy/(3y - 5) = dt

dy/(3y - 5) = dt

integrating both sides, we have

∫dy/(3y - 5) = ∫dt

∫3dy/[3(3y - 5)] = ∫dt

(1/3)∫3dy/(3y - 5) = ∫dt

(1/3)㏑(3y - 5) = t + C

㏑(3y - 5) = 3t + 3C

taking exponents of both sides, we have

exp[㏑(3y - 5)] = exp(3t + 3C)

3y - 5 = [tex]e^{3t}e^{3C}[/tex]        

3y - 5 = [tex]Ae^{3t}[/tex]                [tex]A = e^{3C}[/tex]

3y = [tex]Ae^{3t}[/tex] + 5    

dividing through by 3, we have

y = [tex]\frac{A}{3}e^{3t}[/tex] + 5

So, the general solution of the equation is y = [tex]\frac{A}{3}e^{3t}[/tex] + 5

Answer:

Hey there!

a.

50=28.10+0.15m

Subtract 28.10

21.90=0.15m

Divide by 0.15

m=146

Jacob can send 146 messages.

b.

50=36.50+0.10m

Subtract 36.50

13.5=0.10m

Divide by 0.10

m=135

Roberto can send 135 messages.

Let me know  if this helps :)

Answer:

Step-by-step explanation:

9g - 7g + 18 = 8

2g + 18 = 8

2g = -10

g = -5

The number of possible arrangements of pictures she can hang on her wall is 120.

The number of possible arrangements can be determined by dividing the factorial of 6 by the factorial of 3.

Number of possible arrangements = 6! / 3!

( 6 x 5 x 4 x 3 x 2 x 1) / (3 x 2 x 1) = 6 x 5 x 4 = 120

To learn more about combination, please check: https://brainly.com/question/13387529

#SPJ2

the result of this problem is 1009.479

Answer:

They would need 8 tables.

Step-by-step explanation:

if there is 6 students on one table

6. 6. 6. 6+6+6+6+6+6+6+6= 48

6. 6. 6×8= 48 students

6. 6. 6.

Answer:

k=3

Step-by-step explanation:

just did it

Answer:

College town race is 31% of the home town race.

Step-by-step explanation:

Length of hometown race = 3 miles

Length of college town race = 1492 meters

Since 1 meter = 0.0006214 miles

Therefore, 1492 = 0.93 miles

Percentage of college town race to the hometown race,

= [tex]\frac{\text{College town race}}{\text{Home town race}}\times 100[/tex]

= [tex]\frac{0.93}{3}\times 100[/tex]

= 31%

Therefore, the college town race is 31% of the home town race.

Answer:

GH = 6.3 units

Step-by-step explanation:

Assuming that 1 box represents 1 unit, the coordinate pair of G = (-2, -3), while H = (0, 3).

Distance between G and H = [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] G(-2, -3) = (x_1, y_1) [/tex]

[tex] H(0, 3) = (x_2, y_2) [/tex]

[tex] GH = \sqrt{(0 - (-2))^2 + (3 - (-3))^2} [/tex]

[tex] GH = \sqrt{(2)^2 + (6)^2} [/tex]

[tex] GH = \sqrt{4 + 36} = \sqrt{40} [/tex]

[tex] GH = 6.3 units [/tex] (nearest tenth)

this is the answer hope this will help u

Answer:

ok

Step-by-step explanation:

" a difference " means subtract

5y - 7......u have 2 terms (5y and 7)...and it is the difference of 2 terms.

so ur answer is : 5y - 7

pls mark me as brilliant

The car travels 800 miles in 40 gallons if the car can drive 300 miles on a tank of 15 gallons.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

Your car can drive 300 miles on a tank of 15 gallons

300 miles → 15 gallons

Let x be the number of miles or distance a car travel in 40 gallons

x → 40 gallons

300/x = 15/40

x = (300×40)/15

x = 800 miles

Thus, the car travels 800 miles in 40 gallons if the car can drive 300 miles on a tank of 15 gallons.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer:

5 Fahrenheit

Step-by-step explanation:

In the morning, it was 1 below zero. Subtract.

0 - 1 = -1.

Then, it went up 12 degrees.

-1 + 12 = -11.

In the evening, it went down -6.

11 - 6 = 5.

The answer is 5.

Answer:

Step-by-step explanation:

graph cannot be drawed

Use slope-intercept equation form: [tex]y=mx+b[/tex]

We know that the slope is 9/2

[tex]y=\frac{9}{2}[/tex]

[tex]y=\frac{9}{2}x+b[/tex]

To solve for b, we can plug in the point given, since it's on the line.

[tex]-\frac{13}{2}=\frac{9}{2}(0)+b[/tex]

[tex]b=-\frac{13}{2}[/tex]

So the equation is: [tex]y=\frac{9}{2}-\frac{13}{2}[/tex]

頑張って!

Answer:

-42

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

(-6)(-7)(-1)

Step 2: Multiply -6 and -7 together

(-6)(-7) = 42

Step 3: Multiply 42 and -1 together

42(-1) = -42

Answer:

52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Step 1:

33 + 21 + 3 - 5

Step 2:

54 + 3 - 5

Step 3:

57 - 5

Answer:

52

Hope This Helps :)

Answer:

g = 0.83

Step-by-step explanation:

11(15g-13) =-6

165g - 143 = -6

165g = 137

165      165

g = 0.83

The solution of the given equation 11(15g-13) = -6 is g = 0.83

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

11(15g-13) = -6

To solve the above equation following steps are taken,

Divide both the side of the equation by 11

11(15g-13)/11 = -6/11

Solving them we get,

15g - 13 = -6/11

Adding 13 both the sides,

15g - 13 + 13 = -6/11 + 13

So we obtain,
15g  = -6/11 + 13

Solving the numbers right hand side,we get

15g = 137/11

Dividing both the sides by 15 we get,

g = 137/165

or, g = 0.83

Hence,The solution of the given equation 11(15g-13) = -6 is g = 0.83

Learn more about equations :

https://brainly.com/question/7545504

#SPJ2

Answer:

5+0.10d

Step-by-step explanation:

A five dollar bill is worth $5 and a dime is worth 10 cents, or a tenth of a dollar. To find the value of the money take the sum of the value of the bill and the number of dimes (d) times the value of each dime. You will get $5+0.10d.

If you would like FREE tutoring in algebra or another subject, check out www.growthinyouth.org.

Answer:

They picked 126 apples

Step-by-step explanation:

Because 1 large bag holds 14 apples, and 9 large bags were filled, you would need to multiply 14 by 9. 14 multiplied by 9 equals 126

When the base and the height of a triangle are the same. the hypotenuse is that number times sqrt2.

B and C are 7, so a would also be 7

Answer:

rrrrrrrrrrrtuuuuuuuuuuuuuuuuu

Step-by-step explanation:

Answer:

p = -2/67

Step-by-step explanation:

We divide 67 on both sides.

-2 / 67 = -2/67

67p / 67 = p

We got p = -2/67

Hope this helps.

Answer:

Understgand what?

Step-by-step explanation:

Answer:

whats your question?

Step-by-step explanation:

Answer:

50/50

Step-by-step explanation:

there are only two sides so they both get 50 percent

Answer: 1 in 2 chance

Step-by-step explanation: because there are only 2 sides and can only land on one side

Answer:

Coplanar

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

9+4x4-2

9+16-2

9+16-2

23

Answer:

23

Step-by-step explanation:

3 ^ 2 = 9

6 - 2 = 4

4 * 4 = 16

16 + 9 = 25

6/3/ = 2

25 - 2 = 23