) consider the initial value problem y′−5y=15t+3et,y(0)=y0 y′−5y=15t+3et,y(0)=y0 (a) solve the initial value problem. (enter y0 for y0y0). y(t)y(t)= equation editorequation editor (b) determine the value of y0y0 that separates solutions that grow positively as t→[infinity]t→[infinity] from those that grow negatively.

Answer:

1049.682 is 75.3% of 1394 or as a fraction is 1049 341/500

Step-by-step explanation:

1394/x=100/75.3

(1394/x)*x=(100/75.3)*x       - we multiply both sides of the equation by x

1394=1.32802124834*x       - we divide both sides of the equation by (1.32802124834) to get x

1394/1.32802124834=x

1049.682=x

x=1049.682

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{1049.682}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{75.3\% \: of \: 1394}[/tex]

Convert 75.3 percent into fraction

To convert a percentage to a fraction, divide it by 100

[tex] \dashrightarrow{ \sf{ \frac{75.3}{100} \times 1394}}[/tex]

Calculate

[tex] \dashrightarrow{ \boxed{ \sf{1049.682}}}[/tex]

Hope I helped!

Best regards! :D

Answer:

m = 1

Step-by-step explanation:

4 x 1 + 3 = 7

Answer:  Addition property

Step-by-step explanation:

In the equation 4m + n = 7  , it indicates that n is 3, which means 3 has been added to it to get 4m + 3 = 7   so 3 has been added on each side.

Answer:

9cm

Step-by-step explanation: i think. ah

Answer:

3 cm³

Step-by-step explanation:

Formula a =√(A/6)

a = edge

A = Surface Area

a = √(54/6) = 3

Answer:

119.2

Step-by-step explanation:

Given the following :

Mean (m) = 100 years

Standard deviation (sd) = 15 years

closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the

distribution?

Obtain the Zscore for 90th percentile (0.90) on the z table = 1.28

Zscore = (X - mean) / standard deviation

1.28 = (X - 100) / 15

1.28 × 15 = X - 100

19.2 = X - 100

19.2 + 100 = X

X = 119.2

Using the normal distribution, it is found that an age of 119 years is closest to the 90th percentile.

-------------------

Normal Probability Distribution

The z-score formula is used, which, in a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], is given by:  

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

-------------------

Thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 100}{15}[/tex]

[tex]X - 100 = 15(1.28)[/tex]

[tex]X = 119.2[/tex]

An age of 119 years is closest to the 90th percentile.

A similar problem is given at https://brainly.com/question/15686085

Answer:

Step-by-step explanation:

66 times 66  for area is 4356 then 4356 divided by 22 is 217.8 so 218

Answer:

(4,2)

Step-by-step explanation:

[tex]Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(8,\:5\right),\:\\\left(x_2,\:y_2\right)=\left(0,\:-1\right)\\\\=\left(\frac{0+8}{2},\:\frac{-1+5}{2}\right)\\\\= (\frac{8}{2} , \frac{4}{2} )\\\\Simplify\\=\left(4,\:2\right)[/tex]

Answer:

(4,2)

Step-by-step explanation:

you know why

Answer:

Please see the attached pictures for full solution.

Answer:

4,978 because after 3 digits you have to put a coma

Answer:

4,978

Step-by-step explanation:

Answer:

On the y axis (the vertical line titled y) graph a point at 3, then from there rise 3 and walk 1 and plot a point. keep doing this until you can graph a line.

Step-by-step explanation:

hope this helps :)

Answer:

(x-7)(x+5) for the first one. ( 3 x − 1 ) ( x + 5 ) = 0 for the second.

Step-by-step explanation:

Answer:

60000

Step-by-step explanation:

Answer:

60,000

Step-by-step explanation:

2 times 30,000 is 60,000

Answer:

[tex]d = 2\sqrt{145}[/tex]

Step-by-step explanation:

Use the Distance Formula to help you determine the distance between the two following points ( [tex](-12, 1)[/tex] and [tex](12, -1)[/tex] ):

-Distance Formula:

[tex]d = \sqrt{(x_{2} - x_{1}) ^2 + (y_{2} - y_{1})^2}[/tex]

(where [tex]( x_{1}, y_{1})[/tex] represents the first point, and [tex](x_{2}, y_{2})[/tex] represents the second point)

-Apply the following points to the equation:

[tex]d = \sqrt{(12 + 12) ^2 + (-1 - 1)^2}[/tex]

[tex]( x_{1}, y_{1})[/tex] = [tex](-12, 1)[/tex]

[tex](x_{2}, y_{2})[/tex] = [tex](12, -1)[/tex]

-Solve the equation:

[tex]d = \sqrt{(12 + 12) ^2 + (-1 - 1)^2}[/tex]

[tex]d = \sqrt{(24)^2 + (-2)^2}[/tex]

[tex]d = \sqrt{576 + 4}[/tex]

[tex]d = \sqrt{580}[/tex]

[tex]d = 2\sqrt{145}[/tex]

Therefore, the distance is [tex]2\sqrt{145}[/tex].

Answer:

[tex]MP= (4.5,2)[/tex] another way of writing [tex]MP= (\frac{9}{2}, 2)[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2})(\frac{y_1+y_2}{2})[/tex]

[tex]MP= (\frac{7+2}{2})(\frac{0+4}{2})[/tex] 7+2=9 0+1=1

[tex]MP= (\frac{9}{2})(\frac{2}{2})[/tex]  MP= (4.5,2)

The coordinates of the mid - point of XY will be -  M(4.5, 2)

We have two coordinate points - X(7, 0) and  Y(2, 4).

We have to find the coordinates of the mid - point of the line segment XY.

It states that a line with endpoint coordinates as - [x(1), y(1)] and

[x(2), y(2)] has its mid - point at the coordinates -

[tex]$x(m) =\frac{x(1)+x(2)}{2}[/tex]

[tex]$y(m) = \frac{y(1)+y(2)}{2}[/tex]

According to question, we have -

Assume that the coordinates of Mid - Point = M(h, k)

Coordinates of X= (7, 0)

Coordinates of Y= (2, 4)

Using the Mid - Point formula -

h = [tex]\frac{7+2}{2}[/tex] = 4.5

and

k = [tex]\frac{0+4}{2}[/tex] = 2

Hence, the coordinates of the mid - point of XY will be -  M(4.5, 2)

To solve more questions on Mid - points, visit the link below -

brainly.com/question/25377004

#SPJ2

Answer:

false

Step-by-step explanation:

Answer:

BC = 6.8

Step-by-step explanation:

The distance from A to B, then from B to C, is the same distance as from A to C.

Thus,

AB + BC = AC

AB = 8x + 8

BC = 4x + 2

AC = 22

AB + BC = AC

(8x + 8) + (4x + 2) = 22

Expanding the parenthesis:

8x + 8 + 4x + 2 = 22

8x + 4x + 8 + 2 = 22

12x + 12 = 22

Subtracting 12 from both sides:

12x = 10

Dividing both sides by 12:

x = 10/12 = 1.2

x = 1.2

We're looking for BC. As we know,

BC = 4x + 2

Let's now put in x = 1.2 into this equation:

BC = 4x + 2

BC = 4 * 1.2 + 2

Since 4 * 1.2 is 4.8:

BC = 4.8 + 2

BC = 6.8

Answer: BC = 6.8

Answer:

90 -4.75x = 75 -3.25x

90-75= 4.75x-3.25x

x= 10

Step-by-step explanation:

Answer:

10 drinks

Step-by-step explanation:

We can set up an equation to find the amount of drinks needed, x.

[tex]90-4.75x = 75-3.25x[/tex]

Now let’s solve for x by isolating it on one side of the equation.

Subtract 75 from both sides:

[tex]15 - 4.75x = -3.25x[/tex]

Add 3.25x to both sides:

[tex]15-1.5x=0[/tex]

Add 1.5x to both sides:

[tex]15 = 1.5x[/tex]

Divide both sides by 1.5:

[tex]x = 10[/tex]

Hope this helped!

Answer:

Simplify the expression.

−16x

Step-by-step explanation:

Answer:

42 cm^2

Step-by-step explanation:

Base = 21 cm

Height = 4 cm

Area = [tex]\frac{base\times height}{2}[/tex]

Substitute values into the given equation

[tex]A = \frac{21\times 4}{2} \\\\A = \frac{84}{2} \\\\A = 42cm^2[/tex]

This is an isosceles triangle. The two angles opposite the two equal sides are equal. With this knowledge, we now know that the angles are 61, 61, x.

We also know that the sum of all the angles of a triangle is equal to 180 degrees.

61 + 61 + x = 180.

Combine like terms.

122 + x = 180

Subtract 122 from both sides.

x = 58 degrees

Answer:-32

Step-by-step explanation:

You times the two numbers and add a negative sign in front of it

8 would be a negative in this situation and 4 would be a positive. So the problem would look like this:

-8 x 4 = ?

For this particular problem, we would do 8 x 4 which would equal 32. Then we would try to find which one has the greater absolute value.

Absolute Value:

4 = 4

-8 = |8|

Since -8 has the greater absolute value, the answer would be negative.

The Answer: -32

Answer:

0.66666667 or 0.6

Step-by-step explanation:

if you put [tex]\frac{2}{3}[/tex] in a calculator and convert it, it would display

0.6666 with infinite sixes.

you can also write it as:

0.6

ps ;; you would do this for any fraction, then round it.

Answer:

[tex]I=\frac{p-2w}{2}[/tex]

Step-by-step explanation:

[tex]p=2I+2w\\\\p-2w=2I+2w-2w\\\\p-2w=2I\\\\\frac{p-2w}{2}= I[/tex]

Answer:

Step-by-step explanation:

Let the height (the dependent variable) be h.

Let the independent variable (x) be y

h = 8y + 10

So at birth, these creatures are 10 cm long. At each birthday, they are another 8 cm.

Take the fifth year which is where the table begins.

y= 8*5 + 10

y = 40 + 10

y = 50 cm which is exactly what you got.

Answer:

x>-2

Step-by-step explanation:

-3x+2<8

Subtract 2 from each side

-3x+2-2<8 -2

-3x < 6

Divide each side by -3. remembering to flip the inequality

-3x/-3 >6/-3

x>-2