What are the formulas and steps to solve Area of composite figures

the answer is 19/24

steps:

7/8 - 1/12

7/8 * 3/3 = 21/24

1/12 * 2/2 = 2/24

21/24 - 2/24 = 19/24

The p - value is, 0.3317.

What is test statistic?

In statistical hypothesis testing, a test statistic is a statistic that is employed. A hypothesis test is often defined in terms of a test statistic, which is a numerical summary of a data set that can be used to execute the test and reduces the data to one value.

Given: A scientist who studies teenage behavior was interested in determining if teenagers spend more time playing computer games then they did in the 1990s.

In 1990s, the average amount of time spent playing computer games was 10. 2 hours per week.

Is the amount of time greater than that for this year? twenty students were surveyed and asked how many hours they spent playing video games.

The test statistics is equal to 0.45.

H0: μ = 10.2

H1: μ > 10.2

Test statistic:

t = 0.45          (since n is small)

P value = 0.3317

Hence, the p - value is, 0.3317

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\(\\ \sf\longmapsto 3^6\times 3\)

\(\boxed{\sf a^m\times a^n=a^{m+n}}\)

\(\\ \sf\longmapsto 3^6\times 3^1\)

\(\\ \sf\longmapsto 3^{6+1}\)

\(\\ \sf\longmapsto 3^7\)

Answer: x= -3

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

First you must start by multiplying the parentheses by -5. Once you do that, your equation comes out to -35x+45-6=144. Then you must combine like terms which comes out to -35x+39=144. After that you must get x by itself, so to do that subtract 39 from 144 which comes out to 105. Then you must do the opposite of multiplication and divide 105 by -35 which comes out to x=-3. Hope this helps

Answer:

D

Step-by-step explanation:

square root of 49 is 7 x 2 = 14

⬛️ rt of 49 is 7 minus ⬛️ rt 16 (4) =3

⬛️ rt 25 is 5 plus ⬛️ rt 16 (4) = 9

⬛️ rt 25 is 5 x 3 = 15

Answer:c

Step-by-step explanation:

Brainlist

Answer:

quadrant 4

Step-by-step explanation:

6, -8 is in quadrant 4

1. If a shift in demand and/or supply has taken place, identify the change and list the determinant.

Answer:

The answer is below

Step-by-step explanation:

The demand has increased or shifted to the right.

The supply did not change.

The determinant for this situation is the increase in demand

However, with the price increment, the will be an increase in supply.

Answer:

Step 3

Step-by-step explanation:

Given

\((5 - 2)^ 2 + 23 * 4\)

Required:

Determine the first step where she made mistake

Her Step 1:

\((3)^ 2 + 23 * 4\) --- This is correct because she solved the bracket first

Her Step 2:

\(9 + 23 * 4\) --- This is correct because she solved 3^2 as 9

Her Step 3:

\(9 + 9 * 4\) --- This is incorrect because 23 * 4 is not equivalent to 9 * 4

Hence, her first mistake is in step 3.

The correct expression would have been

\(9 + 92\)

Then

\(= 101\)

Step-by-step explanation:

(1) The range of set A is greater than the range of set B.

This statement  gives only the range which means only outermost values but what about the other values. For example-11,0,0,0,11 and -10,-10,0,10,10

Clearly, Former one has higher range but lower standard deviation.

(2) Sets A and B are both evenly spaced sets.

Evenly spaced is fine. However, we don't know the spacing since that is required to know the deviation.

For, example, sets A{2,4,6,8,10} and B {1,2,3,4,5} so in this case SD of A> SD of B. Or,  we can have B{2,4,6,8,10} and A{1,2,3,4,5} so in this case SD of B> SD of A.

The solution of the given initial value problem is  x + ln|K/4 + 0.8sin(K/4)|

The given initial value problem is:y(x) = dy/dx - 0.8cos(y).....(1)y(0) = K/4

We are to find the solution of this initial value problem.

Step 1: Separating the variables:Separating the variables in equation (1), we get:dy / (y + 0.8cos(y)) = dx.....(2)

Step 2: Integrating both sides:Integrating both sides of equation (2), we get:∫ dy / (y + 0.8cos(y)) = ∫ dxOr, ln|y + 0.8sin(y)| = x + c_1 , where c_1 is the constant of integration.

Step 3: Applying initial condition:Given that y(0) = K/4, we have:ln|K/4 + 0.8sin(K/4)| = 0 + c_1Or, c_1 = ln|K/4 + 0.8sin(K/4)|

The solution of the given initial value problem is:ln|y + 0.8sin(y)| = x + ln|K/4 + 0.8sin(K/4)|

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The statement is true.

When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.

When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.

The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.

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Answer:

its E

Step-by-step explanation:

Where the above are given,

10. The nurse should give 2.45ml of the liquid medication.

11. The nurse can give 24ml of meperidine in 24 hours.

12. The patient should take 42 tablets of the antibiotic.

13. The IV rate is 100ml/hr at 1500gtt/min with a 15gtt/ml drip factor.

14. Each dose of codeine contains 15000mg.

15. The patient should be given 2.67oz (approximately) of the cough syrup.

10. To determine how much   of the liquid should be given, we can set up a  proportion

1g/3.5ml = 700mg/x

Cross-multiplying,

1g * x = 700mg * 3.5ml

x = (700mg * 3.5ml) / 1g

x = 2450mg*ml/g

Therefore, the amount of liquid to be given is 2.45ml.

11. The order states meperidine 75mg IM every 6 hours PRN pain, and the pharmacy sends a vial that contains 25mg/2ml. To calculate how many ml can be given in 24 hours, we need to consider the frequency and duration.

In 24 hours, there are 24/6 = 4 doses to be given. Each dose contains 75mg of meperidine.

To find the volume (ml) of each dose, we can set up a proportion  -

25mg/2ml = 75mg/x

25mg * x = 75mg * 2ml

x = (75mg * 2ml) / 25mg

x = 6ml

12.  To calculate the number of tablets the patient should take, we need to consider the dosage and the duration.

Each tablet contains 250mg of the antibiotic.

To find the number of tablets for the total dosage, we can set up a proportion  -

250mg/1 tab = 0.75g/x

250mg * x = 0.75g * 1 tab

x = (0.75g * 1 tab) / 250mg

x = 0.003 tab

Since we cannot take a fraction of a tablet, the patient should take 1 tablet every 4 hours for 7 days, resulting in a total of 1 * 6 * 7

= 42 tablets.

13.  To determine the IV rate, we need to calculate the number of drops per minute.

The formula to calculate the IV rate in drops per minute (gtt/min) is -

IV rate (ml/hr) = Total volume (ml) / Total time (hr)

IV rate (gtt/min) = IV rate (ml/hr) * Drop factor (gtt/ml)

IV rate (ml/hr) = 1000ml / 10hr = 100ml/hr

IV rate (gtt/min) = 100ml/hr * 15gtt/ml =

1500gtt/min

Therefore, the IV rate is 100ml/hr at 1500gtt/min.

14. To determine the   amount of milligrams of  codeine in each dose, we need to convert grams to milligrams.

1  gram (g) = 1000   milligrams (mg)

15 grams (gr) = 15 * 1000mg = 15000mg

Therefore, each dose contains 15000mg of codeine.

15. To calculate how much cough syrup should be given in ml's, we can set up a proportion -

225mg/1oz = x ml/600mg

225mg * x = 1oz * 600mg

x = (1oz * 600mg) / 225mg

x = 2.67oz

Therefore, 2.67oz of cough syrup should be given in ml's.

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Answer:

simplify(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))

Step-by-step explanation:

derivative(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))

limit(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))

taylor_series_expansion(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))

antiderivative(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))

integral(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))

equation_solver(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4))=0)

simplify(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))

B) 6

Step-by-step explanation:

2(10-b) b=7

2(10-7)

2(3)

6

Answer:

Option 'B' is correct answer

Answer:

19

Step-by-step explanation:

Add up all the numbers:

3,2,2,2,1,1,1,4,2,1

Then you get 19.

Or you can say it as

3^2 + 2^4 + 1^4 + 4

Answer:

31/90 is the prob.

Step-by-step explanation:

sorry if this is incorrect :9

ty for reading :9

Answer:

483.8

Step-by-step explanation:

the 18% of 590 is 106.2

I'm numbering the right side for easy reference

A-3, B-4, C-1, D-2

Answer:

x over quantity 2x plus 3 equals 40 over 60

Step-by-step explanation:

Let light clothes=x

Number of dark clothes = 2x + 3,

Dark clothes are 60% of total clothes

Light clothes=100%-60%

=40%

Light clothes / dark clothes = percentage of light clothes / percentage of dark clothes

x / 2x+3 = 40 / 60

x over quantity 2x plus 3 equals 40 over 60

    Expression for this situation will be \(\frac{x}{2x+3}=\frac{60}{40}\).

Let the number of dark cloths = y

And the number of light cloths = x

"The number of dark cloths is three more than twice the number of light cloths".

Therefore, equation will be,

y = 2x + 3 ----- (1)

"The laundry is 60% dark cloths"

Equation for this statement will be,

y = \(\frac{60}{100}(x+y)\)

y = 0.6x + 0.6y

y - 0.6y = 0.6x

0.4y = 0.6x

\(\frac{y}{60}=\frac{x}{40}\)

Now substitute the value of y from equation (1),

\(\frac{2x+3}{40}=\frac{x}{60}\)

\(\frac{2x+3}{x}=\frac{40}{60}\)

\(\frac{x}{2x+3}=\frac{60}{40}\)

  Therefore, expression for this situation will be \(\frac{x}{2x+3}=\frac{60}{40}\).

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The dimension that minimize the surface area is  side is 6.35 feet and height is 3.17 feet.

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units. Volume and the notion of length are connected. The space occupied inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity. An object's volume is the amount of space it occupies. Cubic meters are used to measure large quantities (m3). Cubic centimeters (cm3) or cubic millimeters are used to measure smaller quantities (mm3).

Here,

V=x²h

128=x²h

h=128/x²

A=x²+4xh

=x²+4x(128/x²)

=x²+512/x

A'=2x-512/x²

A'=(2x³-512)/x²

A'=0

2x³=512

x³=256

x=6.35 feet

h=128/(6.35)²

=3.174 feet

The side and height measurements that minimize the surface area are 6.35 feet and 3.17 feet, respectively.

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Answer:

Let's call the total area of the common space "A". Since the quiet area takes up one-third of the space, its area is A/3.

The scale of the plan is 1 ft.: 4 cm, which means that one foot on the plan represents 4 cm in real life. So, the area of the social area on the plan is 4 times smaller than the actual area of the social space.

Therefore, the actual area of the social space is (A - A/3) = 2A/3. And the area of the social area on the plan is (2A/3) / 4.

Area of the social area on the plan is (2A/3) / 4.

Here,

Let the total area of the common space "A".

Since the quiet area takes up one-third of the space, its area is A/3.

The scale of the plan is 1 ft.: 4 cm

So,

One foot on the plan represents 4 cm in real life.

So, the area of the social area on the plan is 4 times smaller than the actual area of the social space.

Therefore, the actual area of the social space is (A - A/3) = 2A/3.

Thus the area of the social area on the plan is (2A/3) / 4.

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The value of f_x(x,y) is -3ye^{-3xy}(B)

The function is f(x,y) = e ^{-3xy}.

Let us find f_x(x,y) which is the partial derivative of the function with respect to x. For that, let us differentiate the function f(x,y) with respect to x taking y as constant.

This is because the given function is in terms of two variables x and y. We can differentiate one variable at a time and treat the other variable as constant.

Hence we will differentiate the function in terms of x and treat y as a constant.

f(x,y) = e^{-3xy}

∴ f_x(x,y) = \frac{\partial }{\partial x}

f(x,y)f_x(x,y) = \frac{\partial }{\partial x} e^{-3xy}

Now let us differentiate the above expression which is a single variable function using the chain rule of differentiation. The chain rule of differentiation states that if f(g(x)) is a composite function of x, then the derivative of f(g(x)) is given by

f'(g(x)) * g'(x)

We have f(x) = e^{x} and

g(x) = -3xy

∴ f'(g(x)) = e^{g(x)} and g

'(x) = \frac{\partial }{\partial x}(-3xy)

= -3y

We can use the chain rule to differentiate f(g(x)) as follows:

f_x(x,y) = e^{-3xy} * \frac{\partial }{\partial x}(-3xy)f_x(x,y)

= -3y * e^{-3xy}

Hence the value of f_x(x,y) is -3ye^{-3xy}.Hence the correct option is B.

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Answer:

ur mom

112213917342381

Step-by-step explanation:

Answer:

D = 59t

P = 42t

5 hours after noon, darmian is 17 miles closer to the stadium than paisley

Step-by-step explanation:

At noon, Damian is 383 miles away from the stadium and paisley is 315 miles away from the stadium.

Now, we are told that damians speed is 59 mph while paisley's speed is 42 mph.

At t hours after noon, their distance covered will be;

Damian; D = 59t

Paisley; P = 42t

This is because distance = speed × time

Now, 5 hours after noon, their respective distance covered will be;

D(5) = 59 × 5 = 295 miles

P(5) = 42 × 5 = 210 miles

This means that;

distance of Damian from the stadium is; 383 - 295 = 88 miles

Distance of paisley from the stadium is;

315 - 210 = 105 miles

Difference in their distances to the stadium = 105 - 88 = 17 miles

Thus, 5 hours after noon, darmian is 17 miles closer to the stadium than paisley

Answer:

The answer is of this question is 324.

Answer: 0.01090566037

Answer: The short answer to this is 0.0109