If 200 is increased by 12 1/4 percent, what is the resulting number?

Answer:

The answer is 6t-9. This can be calculated by dividing the numerator (54t2−81t) by the denominator (9t). This gives 6t-9.

Step-by-step explanation:

Answer:

81t2+16

Step-by-step explanation:

(9t-4)(-9t-4)   : Equation

Distribute parentheses using:(a + b)(c + d) = ac + ad + bc + bd.

Where :  a=9t, b=-4, c=-9t, d=-4.

This leads to 9t(-9t) +9t (-4) -4- (9t) -4 (-4).

Now we have to Apply minus-plus rule.

Where: -(-a)=a.+(-a)=-a

-9t.9t - 9t.4 + 4.9t = 4.4

=81t2+16

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Answer:

5 min

Step-by-step explanation:

Answer:

5 minutes

Step-by-step explanation:

By assuming that the motion of the plastic disc thrown by Mary is a projectile motion, the missing values are 4 and 3 respectively.

Since we're assuming that the motion of the plastic disc thrown by Mary is a projectile motion, it simply means that the motion can be represented by a quadratic function (parabolic).

For a projectile motion, the height of the disc at the time when it's at the top would be the same (equal). Thus, we can logically deduce that:

Height at time (t = 1 seconds) = Height at time (t = 5 seconds)

4 = A.

Similarly, Height at time (t = 0 seconds) = Height at time (t = 6 seconds)

3 = B.

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Answer:

Step-by-step explanation:

We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.

For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,

y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0

(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.

Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get

yp″=a1+2a2x....yp‴=2a2+3a3x+....

Substituting the general solution into the non-homogeneous equation, we get

a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)

So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:

a(n+1)=Y(n-2)/n^2

From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.

To find the total in the retirement account after 38 years of investing with monthly contributions and an interest rate of 4.99%, we can use the compound interest formula.

The formula for the future value of an investment with regular monthly contributions is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value or the total in the retirement account.

P is the monthly contribution amount.

r is the monthly interest rate (annual interest rate divided by 12).

n is the number of monthly contributions (years invested multiplied by 12).

Let's calculate the total:

P = $225

r = 4.99% / 100 / 12 = 0.0041583 (monthly interest rate)

n = 38 * 12 = 456 (number of monthly contributions)

FV = $225 * [(1 + 0.0041583)^456 - 1] / 0.0041583

Using a financial calculator or spreadsheet, we can evaluate this expression to find the future value or total in the retirement account.

The calculated total may vary depending on the compounding frequency and rounding used.

Answer:

Suppose that we want to find the probability that when six consumers are randomly selected, actually three of them are comfortable with delivery by drones.

Step-by-step explanation:   hopes this helps you!

Answer:

7, 14, 21, 28, and 35.

You can also find the multiples because you just multiply 7 by any number

Ex:

7 * 1 =7

7 * 2 = 14

7 * 3 = 21

7 *  4 = 28

etc.

Hope that helps you and have a great rest of your day!!

Step-by-step explanation: Just multiply 7 by 1, 2, 3, 4, 5, and more then you'll get the multiples (hope it helps +)

The area of the square is given as 100 square unit

You should be aware that the square has all its sides equal

The perpendicular from opposite vertices represent distance

The given vertices are

(2,2) and (10,8)

Using the formula for distance between two points

d=√(10-2)²+(8-2)²

d=√8²+6²

d = √64+36

d=√100

This implies that d=10

The area of a square is given as s²

Area = 10²

Atrea = 100 square units

In conclusion, the area of the square is 100 square units

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Translated question:

The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square

I'm confused can u tell me the question in comments

Answer: cos4

Step-by-step explanation: 50 meters

B. 50-√3 meters

C. 100 meters

D. 100-√3 meters

40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.

The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."

A. sin 22

B. cos 22

C. tan 22

D. cot 22

Answer and Step-by-step explanation:

Answer is in picture.

The angles of a triangle add up to 180.

There are TWO 9x + 1 because they are the base angle pairs.

I hope this helps!!

#teamtrees #PAW (Plant And Water)

The Complete statements are shown below.

Given:

we have AB || CD

We have to prove that ABCD is a parallelogram so that

So, <CBD = <ABD { alternate Interior angle}

AB|| CD (given)

<CDB = <ABD { alternate Interior angle}

BD = BD (Common)

So,  ΔADB ≅ Δ CDB by ASA criteria

Then by CPCT

AB= DC and AD = BC and <BCD = <DAB

So, <CDA = <CDB+ <ADB and <ABC = <CDB+ <ADB by Add Angle postulate.

Then, by transitive property

<CDA = <ABC

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Answer:

Step-by-step explanation:

What is the value of this expression if h = 8,7 = -1, and k = -12? 13 20​

Answer:

D

Step-by-step explanation:

We are given the following triangle

To calculate the area of a triangle of base b and height h, we user the formula

In our case we have that b=10. NOte that h is the height of the triangle. This triangle splits the triangle into two triangles, whose base are 5 and the height is h. Since the triangle is an equilateral triangle we know that each inner angle is 60 degrees. So we have the following triangle

We want to find the value of h using this triangle. With respect to the 60 degree angle, h is the opposite side and 5 is the adjacent side. So, using the tangent ration definition, we have that

So multiplying both sides by 5, we get

So, replacing the values of h and b in the formula, we have that

Then

Using a calculator we have that

So

Then, rounded to the nearest tenth we have that the area of the polygon is approximately 43.3

The graph of the function is added as an attachment

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

f(x) = 4x

The above expression is a linear equation that implies that:

Slope = 4

y-intercept = 0

Next, we plot the graph using a graphing tool

One of the points on the line is (1, 4)

See attachment for the graph of the equation

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Answer:

x ≥ 3

Step-by-step explanation:

- 3(2x - 1) ≤ x - 18 ← distribute parenthesis on left side

- 6x + 3 ≤ x - 18 ( subtract x from both sides )

- 7x + 3 ≤ - 18 ( subtract 3 from both sides )

- 7x ≤ - 21

divide both sides by - 7, reversing the symbol as a result of dividing by a negative quantity.

x ≥ 3

Answer:

For x = 0, P(x = 0) = 0.35

For x = 1, P(x = 1) = 0.54

For x = 2, P(x = 2) = 0.11

For x = 3, P(x = 3) = 0

Step-by-step explanation:

We are given that the Sky Ranch is a supplier of aircraft parts. Included in stock are 6 altimeters that are correctly calibrated and two that are not. Three altimeters are randomly selected, one at a time, without replacement.

Let X = the number that are not correctly calibrated.

Number of altimeters that are correctly calibrated = 6

Number of altimeters that are not correctly calibrated = 2

Total number of altimeters = 6 + 2 = 8

(a) For x = 0: means there are 0 altimeters that are not correctly calibrated.

This means that all three selected altimeters are correctly calibrated.

Total number of ways of selecting 3 altimeters from a total of 8 = \(^{8}C_3\)

The number of ways of selecting 3 altimeters from a total of 6 altimeters that are correctly calibrated = \(^{6}C_3\)

So, the required probability = \(\frac{^{6}C_3}{^{8}C_3}\)  

                                              = \(\frac{20}{56}\)  = 0.35

(b) For x = 1: means there is 1 altimeter that is not correctly calibrated.

This means that from three selected altimeters; 1 is not correctly calibrated and 2 are correctly calibrated.

Total number of ways of selecting 3 altimeters from a total of 8 = \(^{8}C_3\)

The number of ways of selecting 2 correctly calibrated altimeters from a total of 6 altimeters that are correctly calibrated = \(^{6}C_2\)

The number of ways of selecting 1 not correctly calibrated altimeters from a total of 2 altimeters that are not correctly calibrated = \(^{2}C_1\)

So, the required probability = \(\frac{^{6}C_2 \times ^{2}C_1 }{^{8}C_3}\)  

                                                = \(\frac{30}{56}\)  = 0.54

(c) For x = 2: means there is 2 altimeter that is not correctly calibrated.

This means that from three selected altimeters; 2 are not correctly calibrated and 1 is correctly calibrated.

Total number of ways of selecting 3 altimeters from a total of 8 = \(^{8}C_3\)

The number of ways of selecting 1 correctly calibrated altimeters from a total of 6 altimeters that are correctly calibrated = \(^{6}C_1\)

The number of ways of selecting 2 not correctly calibrated altimeters from a total of 2 altimeters that are not correctly calibrated = \(^{2}C_2\)

So, the required probability = \(\frac{^{6}C_1 \times ^{2}C_2 }{^{8}C_3}\)  

                                                = \(\frac{6}{56}\)  = 0.11

(d) For x = 3: means there is 3 altimeter that is not correctly calibrated.

This case is not possible, so this probability is 0.

The growth factor of the painting is 0.12

"It is a ratio that can be expressed as a fraction of 100."

For given question,

The value of the painting will increase by 12 percent per year.

The 12% in decimal form,

\(=12\times \frac{1}{100}\\\\ =0.12\)

So the growth factor of the painting is 0.12

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Answer:

Step-by-step explanation:

p^2-4=96 Add 4 to both sides

p^2=100 take squared root from both sides

p= squared root of 100=+ or-10

Answer:

The answer is 1/2.

Step-by-step explanation:

1/6÷ 1/3

= 1/6 × 3/1

= 1/6 × 3/1

= 3/6

= 3/6 ÷ 3/3

= 1/2

Answer:

0.5

Step-by-step explanation:

1/6=0.16

1/3=0.3

divide them and it gives you 0.5

Answer:

4 hours × 0.8°C = 3.2°C

temperature after 4 hours

= -2.4°C - 3.2°C

= -5.6°C

The amount of the element, Francium, that will remain after 2 hours is 31.25 grams.

To determine how much francium will be left after 2 hours, we need to calculate the number of half-lives that occur within that time period.

Given that the half-life of francium is 22 minutes, we can calculate the number of half-lives in 2 hours (120 minutes):

Number of half-lives = (Total time elapsed) / (Half-life)

Number of half-lives = 120 minutes / 22 minutes ≈ 5.4545

Since we can't have a fraction of a half-life, we take the integer part, which is 5.

Each half-life represents a halving of the amount of francium. So, after 5 half-lives, the remaining amount of francium can be calculated using the formula:

Remaining amount = Initial amount * (1/2)^(Number of half-lives)

Given that the initial amount is 1000 grams, we can calculate the remaining amount after 2 hours:

Remaining amount = 1000 grams * \((1/2)^5\)

Remaining amount ≈ 1000 grams * 0.03125

Remaining amount ≈ 31.25 grams

Therefore, after 2 hours, approximately 31.25 grams of francium will be left.

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Answer:

x=80

Step-by-step explanation:

This is really simple especially since you have a right triangle, you can easily determine x using trigonometry.

The cosine of an angle in a right triangle is defined by it's adjacent side divided by the hypotenuse.

\( \cos(50) = \frac{51}{x} \)

The angle in question is 50, the hypotenuse is the side facing the 90° angle and the adjacent side is the one next to it.

By cross multiplication i can rewrite this as:

\(x = \frac{51}{ \cos(50) } \)

\(x = \frac{51}{0.64278} \)

\(x = 79.34\)

Round to the nearest ten

\(x = 80\)

If an equilateral triangle has a perimeter of 24 feet. the area of the circle is approximately 50.27 square feet.

Since the perimeter of the equilateral triangle is 24 feet, each side has a length of 8 feet (since all three sides are equal).

The diameter of the circle is equal to the length of one side of the equilateral triangle, which is 8 feet. Therefore, the radius of the circle is half the diameter, which is 4 feet.

The area of a circle is given by the formula:

A = πr^2

where A is the area and r is the radius.

Plugging in the value of the radius, we get:

A = π(4 feet)^2

A = 16π square feet

A ≈ 50.27 square feet (rounded to two decimal places)

Therefore, the area of the circle is approximately 50.27 square feet.

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The discriminant = 0

The given equation is:

Compare x² - 10x + 25 = 0 with ax² + bx + c = 0

a = 1, b = -10, c = 25

The discriminant is given by the formula:

Substitute a = 1, b = -10, c = 25 into the discriminant formula above

The discriminant = 0

Answer:

p=48

Step-by-step explanation:

Solve e from the equation by substraction 96 to both sides of the equal sign: