Let y = f(t) be a solution to the differential equation dy/dt = ky, where k is a constant. Values of f for selected values of t are given in the table above. Which of the following is an expression for f(t)?
(A) 4e^(t/2 ln3)
(B) e^(t/2 ln9) + 3
(C) 2t^2 + 4
(D) 4t + 4

The required pair of length and width is given as 2 x 6 square feet and 6 x 2 square feet respectively.

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
According to the question,
Perimeter = 16
2L + 2W = 16
L = 8 - W - - - - - (1)

Area  = 12
L × W = 12
(8 - W)W= 12
W² - 8W + 12 = 0
(W - 6)(W - 2) = 0
W = 6 and W = 2
Put this W in equation 1
L = 2 and L = 6

Thus, the required pair of length and width is given as 2 x 6 square feet and 6 x 2 square feet respectively.

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Answer:

10 is the hypotenuse

Step-by-step explanation:

a² + b² = c²

Given:

a = 8

b = 6

Work:

a² + b² = c²

8² + 6² = c²

64 + 36 = c²

100 = c²

\(\sqrt{c^2} =\sqrt{100}\)

c = 10

Step-by-step explanation:

hope it is helpful to you

To find out which coins weigh 1 or 2 grams, place a set of coins on the scale and observe if the weight is "less than X grams" or "at least X grams".

To find out which coins weigh 1 or 2 grams, start by placing a set of coins on the scale. Observe if the weight is "less than X grams" or "at least X grams". If the weight is "less than X grams", then the coins weigh 1 gram each. If the weight is "at least X grams", then the coins weigh 2 gram each. Keep repeating this process until all coins are weighed. Once you have ascertained the weight of each coin, you will know which coins weigh 1 or 2 grams. To make sure that you have identified all coins correctly, count the number of coins that weigh 1 or 2 grams. This should add up to 4046 coins.

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Answer:

37.50 per hour for 2 hours. 37.50 x 2 =7575 + 75 =150 it will cost $150. I hope this helps and is correct!!!

Answer:

\(-3 > -5\\ 0 > -4\\-7 < -2\)

Answer:

\(48cm^{2} \)

Step-by-step explanation:

The explanation is pinned.

plz give me Brainliest and 100 points.

Answer:

48 cm²

Step-by-step explanation:

Total area  = area of rectangle + area of two triangles

                 = 3 x (4 + 5 + 3) + \(\frac{1}{2}\) x 4 x 3 x 2

                 = 3 x 12 + 12

                 =36 + 12

                 = 48

The simplified equation is 2x y²√y + 2x y√y when the actual equation is √x²y³ +2√x³y⁴ +x y√y. Option -B is correct.

Given that,

The equation is

√x² y³ +2√x³y⁴ +x y√y

We have to simplify the equation.

We know that,

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.

Take the equation

√x²y³ +2√x³y⁴ +x y√y

x y√y +2√x³y⁴ +x y√y

2√x³y⁴ + 2x y√y

2x y²√y + 2x y√y

Therefore, The simplified equation is 2xy²√y + 2x y√y when the actual equation is √x²y³ +2√x³y⁴ +x y√y. Option -B is correct.

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Answer:

B on edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

m^2(m^2+9)+20

Answer: Is this the whole question if not i can edit later and answer once i get it all?

Answer:

5/4

Explanation:

coordinates given (0,0) and (8,10)

How to find unit rate?

use this formula:

(y2-y1)/(x2-x1)

using the formula:

→(10-0)/(8-0)

→ 10/8

→ 5/4

→ 1.25

Answer:

5/4 cm/s

Step-by-step explanation:

The gradient (slope) of the line is equal to the speed of the object.

Gradient = change in y ÷ change in x

Using the two given points (0, 0) and (8, 10):

⇒ speed = (10 - 0) ÷ (8 - 0) = 5/4 cm/s

The z-score for of a patient's systolic blood pressure measured at 84  is -1

From the question, we have the following parameters that can be used in our computation:

Sample = 500 individuals

Standard deviation = 16

Mean = 110

Measurement = 84

The z-score for this measurement is calculated as

z = (Measurement -Mean)/Standard deviation

substitute the known values in the above equation, so, we have the following representation

z = (84 -110)/16

Evaluate

z = -1

Hence, the z-score for this measurement is -1

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Answer:

36a + 15a^2 - 3a^3

Step-by-step explanation:

I recommend using a calculator. It helps a lot.

If you're not going to do that, then all you do is multiply the 3a by the 12, tha 5a, and the 1a.

Answer:

gradient = 9

Step-by-step explanation:

Note that \(\frac{dy}{dx}\) is a measure of the gradient.

Differentiate y using the power rule

\(\frac{d}{dx}\) (a\(x^{n}\)) = na\(x^{n-1}\)

Given

y = x² + 5x - 3, then

\(\frac{dy}{dx}\) = 2x + 5

x = 2 : \(\frac{dy}{dx}\) = 2(2) + 5 = 4 + 5 = 9 ← gradient

Answer:

y= -3/5x+5

Step-by-step explanation:

im not sure if this is right but i know that perpendicular means opposite so basically just swtich the slope and if its positive make it negative, vice versa

The answer is -2.3328

Answer:

2,3,4,6

Step-by-step explanation:

You just have to check all of them to see if they can be negative or not. The 2nd, 3rd, 4th, and 6th options all can't be negative and only 0 or positive. Therefore, you must select 2,3,4, and 6.

Answer:

Any number that can be written as a fraction with integers is called a rational number. For example, 17 and −34 are rational numbers

Step-by-step explanation:

a) To find the elements of the set \(XY\), we need to concatenate each element of \(X\) with each element of \(Y\  b) To list the elements of \(X^*\) of length 4 or less, we need to consider all possible combinations of elements from \(X\) with repetition.

Since the maximum length is 4, we can have elements with lengths 1, 2, 3, or 4. The elements of \(X^*\) are:

where ε represents the empty string.

c) To provide a regular expression for \(X^*\), we can represent the elements of \(X^*\) using the alternation operator \(+\). The regular expression for \(X^*\) is:

This regular expression matches any combination of elements from \(X\) including the empty string.

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Answer:

1116

Step-by-step explanation:

3*380 = 1140

1140 - 24 = 1116

Charlie could have used quota sampling instead of non-random sampling.

Given is that Charlie is studying the time it takes members of his company to travel to the office. He stands by the door to the office from 08 : 40 A.M. to 08 : 50 A.M. one morning and asks workers, as they arrive, how long their journey was.

Charlie could have used quota sampling instead of non-random sampling. He could have selected a sample that reflects the characteristics of the whole population.

Therefore, Charlie could have used quota sampling instead of non-random sampling.

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{COMPLETE QUESTION IS -

Charlie is studying the time it takes members of his company to travel to the office.

He stands by the door to the office from 0840 to 0850 one morning and asks workers, as they arrive, how long their journey was.

State and briefly describe an alternative method of non-random sampling Charlie could have used to obtain a sample of 40 workers.}

Answer:

brooke is short

Step-by-step explanation:

Answer:

Second one

Step-by-step explanation:

Answer:

Option B is correct.

Step-by-step explanation:

6 3/7 = 45/7

1 3/6 = 9/6 = 3/2

=> 45/7 - 3/2

=> 90/14 - 21/14

=> 69/14

=> 4 13/14

Therefore, Option B is correct.

12. MATLAB code: `f = (-3*t.^2 + 5*t + 20).*(t < 0) + (3*t.^2 + 5*t).*(t >= 0)`

13. MATLAB function: `function random_values = UniGen(n, a, b); random_values = (b - a) * rand(n, 1) + a; end`

MATLAB code to calculate f(t) using the given equation:

t = -9:0.5:9; % Generate values of t from -9 to 9 in steps of 0.5

f = zeros(size(t)); % Initialize f(t) vector

for i = 1:numel(t)

   if t(i) < 0

       f(i) = -3*t(i)^2 + 5*t(i) + 20;

   else

       f(i) = 3*t(i)^2 + 5*t(i);

   end

end

% Display the results

disp('t    f(t)');

disp('--------');

disp([t' f']);

```

This code generates values of `t` from -9 to 9 in steps of 0.5 and calculates `f(t)` based on the given equation. The results are displayed in a tabular format showing the corresponding values of `t` and `f(t)`.

13. MATLAB function UniGen to generate uniformly distributed random values:

function random_values = UniGen(n, a, b)

   % n: Number of random values to generate

   % a: Start of the interval

   % b: End of the interval

   random_values = (b - a) * rand(n, 1) + a;

end

This MATLAB function named `UniGen` generates `n` random values that are uniformly distributed on the interval `[a, b]`. It utilizes the `rand` function to generate random values between 0 and 1, which are then scaled and shifted to fit within the specified interval `[a, b]`. The generated random values are returned as a column vector.

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Explanation

Given the function

We can find the value of p when f(-2 )=10 below;

Therefore, we will have;

Answer: p = -3

Answer:

9

Step-by-step explanation:

3 to the 2nd power would look like this if you typed it out: 3^2. The ^ symbol refers to an exponent.

3^2

= 3 * 3

= 9

:3))

Answer:

the answer would be 9

Step-by-step explanation:

3² would be expressed as a multiplication like this

3x3

you would get 9

So, your answer is 9.

Answer:

A and C

Step-by-step explanation:

did assignment on edge

Answer:

\(22^\circ + m\angle C = 90^\circ\)

Step-by-step explanation:

Pre-Solving:

We are given that \(\angle A\) (which is equal to 22°) and \(\angle B\) are vertical angles, and that \(\angle B\) is complementary to \(\angle C\).

We want to write an equation that will help us solve \(\angle C\).

Solving:

Recall that vertical angles are congruent by vertical angles theorem.

This means that \(\angle A \cong \angle B\); it also means that the measure of \(\angle B\) is also 22°.

Also recall that complementary angles add up to 90°.

This means that \(m\angle B + m\angle C = 90^\circ\).

Since we deduced that \(m\angle B\) is 22°, we can substitute that value into the equation.

Hence, an equation that can be used to solve for \(\angle C\) is:

\(22^\circ + m\angle C = 90^\circ\)

Answer:

m∠A = m∠B

m∠A = 22°

m∠B + m∠C = 90°

Step-by-step explanation:

∠A and ∠B are vertical angles. (Given)

By definition of vertical angles, a pair of angles with the same vertex and that are on opposite sides of two intersecting straight lines are congruent.

It is given that ∠A is 22°, and is a vertical angle with ∠B.

∴ ∠A ≅ ∠B (Definition of Vertical Angles).

IF m∠A = 22° and ∠A ≅ ∠B, THEN m∠B = 22° (Transitive Property of Equality).

∠B is complementary with ∠C (Given)

m∠B + m∠C = 90° (given).

m∠B = 22° (⇒Transitive Property of Equality)

Plug in 22 for m∠B in the given equation:

22 + m∠C = 90

Isolate the term, m∠C. Note the equal sign, what you do to one side, you do to the other. Subtract 22 from both sides of the equation:

m∠C + 22 (-22) = 90 (-22)

m∠C = 90 - 22

m∠C = 68°

~

Therefore, your system of equation will be:

m∠A = m∠B

m∠A = 22°

m∠B + m∠C = 90°

~

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I can help you with that problem i just did that on my own.