A thermometer is taken from a room where the temperature is 21 degrees Celsius to the outdoors, where the temperature is 5 degrees Celsius. After one minute the thermometer reads 15 degrees Celsius.
(a) What will the reading on the thermometer be after 3 more minutes?

(b) When will the thermometer read 6 degrees Celsius?
degrees Celsius

Step-by-step explanation:

The volume of a cylinder is given by the formula

pi×h×r^2

IF R IS 8

Volume = 3015.93

IF R IS 15

Volume = 5654.87

Answer:

A

Step-by-step explanation:

Hope it will help you......

Answer:

5 sqrt(2) =x

Step-by-step explanation:

Since this is a right triangle we can use trig functions

sin theta = opp side / hypotenuse

sin 45 = x/ 10

10 sin 45 = x

10 sqrt(2) /2 = x

5 sqrt(2) =x

A cross-sectional effect diagram, also known as an axial force-shear force-bending moment diagram or simply an internal force diagram, is a graphical representation that shows the distribution of internal forces (axial force, shear force, and bending moment) along the length of a structural member, such as a beam or column.

To draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure, we need to follow these steps:

Step 1: Identify the type of loadingFor this question, the loading conditions are {N}, {T}, {M}. So, the loading types are axial force, shear force, and bending moment.

Step 2: Draw the cross-sectional diagram of the beam. We need to draw the diagram of the cross-section of the beam in the direction of the forces acting on the beam. In this case, it will be a rectangular beam.

Step 3: Draw the effect diagrams After drawing the cross-sectional diagram, we need to draw the effect diagrams for each loading condition.

The effect diagrams are as follows: 1. Axial force diagram (N):In this case, the axial force is positive (+) which means it is a tensile force. 2. Shear force diagram (T):The shear force is negative (-) from x = 0 to x = 1, which means the shear force is acting downward. It is zero at x = 1 and then becomes positive (+) from x = 1 to x = 2, which means the shear force is acting upward. 3. Bending moment diagram (M):The bending moment is zero at x = 0, becomes negative (-) from x = 0 to x = 1, reaches a minimum at x = 1, and then becomes positive (+) from x = 1 to x = 2.

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Answer:

20 containers

Step-by-step explanation:

5L =  5000ml

so,

5000/250 = 20 containers

I hope my answer helps you.

fill 5L tank using 250 ml container .

how many full containers are required to fill the tank.

1 L= 1000 mL

1000 mL/250mL = 4

1 L= 4 full containers

4 containers x 5 liters = 20 full containers.

so, 20 full containers are required to fill the fish tank.

Answer:

2. (-3f)

3. (4f)

4. x - 11 (not sure if this one is correct)

Step-by-step explanation:

Move -3 to the left of f = -3f

Move 4 to the left of f = 4f

f(x)=x+11 f ( x ) = x + 11

The value of alpha is 0.025. The Z-value is 1.96. The P(z) is 0.5. The effect size is 0.05. The Sample size for the study is 384.

An area created using fixed-size samples of data from a population (sample space) that follows a certain probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability. An estimate's level of uncertainty is described by a confidence interval, which is a range of numbers. The 68-95-99.7 Rule states that 95% of values lie within two standard deviations of the mean, hence to get the 95% confidence interval, you add and subtract two standard deviations from the mean.

Here,

All the calculations attached in image.

z= 1.96

p = 0.5

q = 1-p = 0.5

E = 0.05

sample size =

(z^2).(pq)=(1.96^2).(0.5)(.0.5)

384.16,

round up

n for study =385

Alpha has a value of 0.025. There is a 1.96 Z-value. P(z) equals 0.5. The impact factor is 0.05. The Sample size for the study is 384.

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Answer:

729

Step-by-step explanation:

because the square of 27 gives 729

I can check this through long division

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

Step-by-step explanation:

ima a braintlest

Expressing y in terms of x gives y = x - 19/ 6

Subject of formula can be defined as the variable that is being expressed in terms of other variables in an equation, function or expression.

It is also described as the variable that is being worked out in an expression or equation.

It is made to stand alone on on side of the equality sign.

We have the equation;

6(x-y) = 19

To make 'y' the subject of formula, let's take the following steps;

Divide both sides by 6, we have;

x - y = 19/ 6

now, take the variable 'x' over the equality sign

-y = 19/ 6 - x

Divide both sides by -1

y = x - 19/ 6

Hence, the equation is y = x - 19/ 6

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Answer:

BD = 2.4 units

AB = 4 units

Step-by-step explanation:

using the Pythagorean theorem:

3²-1.8² = BD²

BD² = 5.76

BD =  2.4

2.4²+3.2² = AB²

AB² = 16

AB = 4

This  has to be determined by pythagorian theorem. Hence the value of AB= 4 units and BD= 2.4 units.

Given: AD = 3.2 units

          BC  = 3 units

          CD  = 1.8 units

Find : AB =? units

          BD=? units

As we know that ,

By the formula of  pythagorian theorem,

Let be a ΔABC,

                     \(\bold{(AB)^{2} = (BC)^{2} +(AC)^{2}}\)

From the above formula now  determined  the value of AB and BD,

Firstly , find the value of BD

In ΔBDC, by applying pythagaorian theorem,

\(\bold{(BC)^{2} = (BD)^{2} +(DC)^{2}}\)                                                         ...(1)

Here, BC  = 3 units and CD = 1.8 units

Now put the values of  BC and CD  in (1),

\(\begin{aligned}(3)^{2} &=(BD)^{2}+(1.8)^{2}\\9&=(BD)^{2}+3.24\\9-3.24&=(BD)^{2}\\5.76&=(BD)^{2}\\\sqrt{5.76} &=BD\\\bold{BD&= 2.4}\:units\end{aligned}\)                                                         ...(2)

Now find the value of AB,

In ΔABD, by applying pythagorian theorem,

\(\bold{(AB)^{2}=(AD)^{2} + (BD)^{2} }\)                                                       ...(3)

Here, AD=3.2 and from (2) BD=2.4

By putting values in (3) ,

\(\begin{aligned}(3.2)^{2} +(2.4)^{2}&=(AB)^{2}\\10.24+5.76&=(AB)^{2}\\16&=(AB)^{2}\\\sqrt{16} &=AB\\\bold{AB&= 4}\:units\end{aligned}\)

Therefore,the values of AB=4 units and BD= 2.4 units.

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To find the curve of intersection of two surfaces, we need to set the equations of the two surfaces equal to each other and solve for the variables that describe the curve of intersection.

In this case, we will consider the intersection of two elliptic paraboloids. An elliptic paraboloid can be represented by the equation z = x^2/a^2 + y^2/b^2, where a and b are positive constants that determine the shape of the paraboloid.

To find the curve of intersection of two elliptic paraboloids, we set their equations equal to each other:

x^2/a^2 + y^2/b^2 = z = c^2/d^2 + w^2/e^2

where c, d, w, and e are also positive constants.

We can rearrange this equation to solve for one of the variables, say z:

z = x^2/a^2 + y^2/b^2 = c^2/d^2 + w^2/e^2

Now we can set z equal to a constant, say k:

k = x^2/a^2 + y^2/b^2

This equation represents the curve of intersection of the two elliptic paraboloids. To plot this curve, we can choose a range of values for x and y, and solve for the corresponding values of z. We can then plot these points in three-dimensional space to obtain the curve of intersection.

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(a) The general solution to the differential equation is: y = 3 + 1 / (sin(t) + \(\sqrt{C_1}\). (b) The general solution to the differential equation is: y = (±√(arctan(t)) + \(\sqrt{C_2}\). (c) The solution to the initial value problem is: y = (√(arctan(t)) + 4). (d) The solution to the initial value problem is: y = (-√(arctan(t)) + 9).

(a) To solve the differential equation y' = (y - 3)² cos(t) using separation of variables:

First, rewrite the equation as:

dy / (y - 3)² = cos(t) dt

Now, integrate both sides:

integration of 1 / (y - 3)²dy = integration of cos(t) dt

Integrating the left side:

(-1) / (y - 3) = sin(t) + \(\sqrt{C_1}\)

Solving for y:

1 / (y - 3) = -sin(t) - \(\sqrt{C_1}\)

(y - 3) = (-1) / (-sin(t) - \(\sqrt{C_1}\))

Simplifying:

y = 3 - 1 / (-sin(t) -\(\sqrt{C_1}\))

y = 3 + 1 / (sin(t) + \(\sqrt{C_1}\))

So the general solution to the differential equation is

y = 3 + 1 / (sin(t) + \(\sqrt{C_1}\))

(b) To solve the differential equation dy / dt = 1 / (2y(1 + t²)) using separation of variables:

Separate the variables:

2ydy = 1 / (1 + t²}) dt

Integrate both sides:

integration of 2dy = ∫ 1 / (1 + t²) dt

Integrating the left side:

y² = arctan(t) + \(\sqrt{C_2}\)

Solving for y:

y = (± \(\sqrt{(arctan(t)) }\)+ C₂)

So the general solution to the differential equation is

y =( ±\(\sqrt{(arctan(t)) }\) + \(C_2\)

(c) To solve the differential equation dy / dt = 1 / (2y(1 + t²)) with the initial condition y₀ = 2

Using the general solution from part (b), substitute t = 0 and y = 2:

2 =( ±s\(\sqrt{(arctan(0)) }\) )+ \(C_2\)

2 = (±\(\sqrt{C__2}\))

Taking the positive square root:

2 =( \(\sqrt{C_2}\))

4 = \(C_2\)

Substituting the value of C₂ back into the general solution:

y = (\(\sqrt{(arctan(t))}\) + 4)

So the solution to the initial value problem is:

\(y = \sqrt{(arctan(t)} + 4)\)

(d) To solve the differential equation dy / dt = 1 / (2y(1 + t²})) with the initial condition \(y_0 =( -3)\)

Using the general solution from part (b), substitute t = 0 and y = (-3):

(-3) = ±\(\sqrt{(arctan(0)}\) + \(C_2\)

(-3) = ±\(\sqrt{C_2}\)

Taking the negative square root:

(-3) =\(\sqrt{C_2}\)

9 = \(C_2\)

Substituting the value of \(\sqrt{C_2}\) back into the general solution:

y = (-√(arctan(t) + 9))

So the solution to the initial value problem is

\(y = \sqrt{arctan(t) + 9))}\)

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Answer:

slope = - \(\frac{3}{2}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, 1 ) and (x₂, y₂ ) = (8, - 8 ) ← 2 ordered pairs from the table

note that any 2 ordered pairs may be used to calculate m

m = \(\frac{-8-1}{8-2}\) = \(\frac{-9}{6}\) = - \(\frac{3}{2}\)

9514 1404 393

Answer:

  (a)  42.3°

Step-by-step explanation:

Side 'a' is the shortest of three unequal sides, so angle A will be the smallest angle in the triangle. Its measure can be found from the Law of Cosines.

  a² = b² +c² -2bc·cos(A)

  cos(A) = (b² +c² -a²)/(2bc) = (21² +25² -17²)/(2·21·25) = 777/1050

  A = arccos(777/1050) ≈ 42.3°

The measure of angle A is about 42.3°.

_____

Additional comment

The smallest angle in a triangle can never be greater than 60°. This lets you eliminate choices that exceed that value.

Answer:

 (a)  42.3°

Step-by-step explanation:

The temperature at 6000 feet will be 32.1°F.

This question uses the theory of adiabatic lapse rate, which is the rate at which air temperature changes as it ascends or descends in the atmosphere. The moist adiabatic lapse rate is typically about 6°C/km (3.5°F/1000 ft) when the air is saturated, but it can vary due to the local atmospheric conditions.

Step 1: Calculate the temperature change per 1000 feet.

Change in temperature = 1.4°F

Step 2: Calculate the total change in temperature.

Total change = 1.4°F x 6 (6000 feet divided by 1000 feet) = 8.4°F

Step 3: Subtract the total change from the temperature on the ground.

Temperature at 6000 feet = 50.9°F - 8.4°F = 32.1°F

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Answer:

27 pages

Step-by-step explanation:

This is a subtraction problem

26 fewer so you subtract 26

53 - 26 = 27

the probability that a student from these universities gets a placement is 0.45 or 45%.

To find the probability that a student from these universities gets a placement, we need to calculate the weighted average of the placement probabilities based on the admission probabilities.

Let's denote the admission probabilities as P(A1), P(A2), and P(A3) for universities 1, 2, and 3, respectively. Similarly, let's denote the placement probabilities as P(P1), P(P2), and P(P3) for universities 1, 2, and 3, respectively.

The probability of a student getting placement can be calculated as:

P(Placement) = P(A1) * P(P1) + P(A2) * P(P2) + P(A3) * P(P3)

Given that P(A1) = 0.20, P(A2) = 0.30, P(A3) = 0.40, P(P1) = 0.3, P(P2) = 0.5, and P(P3) = 0.6, we can substitute these values into the equation:

P(Placement) = (0.20 * 0.3) + (0.30 * 0.5) + (0.40 * 0.6)

P(Placement) = 0.06 + 0.15 + 0.24

P(Placement) = 0.45

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Answer:

y=-5/7x+2.5

Step-by-step explanation:

Answer:

multiplying a fraction by a repeating decimal

Step-by-step explanation:

any fraction is rational

any repeating decimal is rational

therefore, product of the two would be rational

Answer:

Step-by-step explanation:

(3x−5)(3x+5)

Multiplication can be transformed into difference of squares using the rule: (a−b)(a+b)=a

2

−b

2

.

(3x)

2

−5

2

Expand (3x)

2

.

3

2

x

2

−5

2

Calculate 3 to the power of 2 and get 9.

9x

2

−5

2

Calculate 5 to the power of 2 and get 25.

9x

2

−25

Answer:

The value of d that balances the equation is d=15

Step-by-step explanation:

Equations

We are given an image with a hanger that represents a balanced equation.

If the equation is balanced, then the 'weights' of each side should be equal.

On the right side, there is 21 and on the left side, there are 6 and d.

Adding both, we have 6+d on the left side.

Equating both sides:

6 + d = 21

To find d, we subtract 6 on both sides:

d = 21 - 6

d = 15

The value of d that balances the equation is d=15

Answer:

d=15

Step-by-step explanation:

6+d=21

so that means d=15

6+15=21

hope this helped! :)

The Stem plot is displayed below of eighteen faculty members in a college math department range in age from 32 to 68.

How do you make a stem plot?

On the left hand side of the page, write down the thousands, hundreds or tens (all digits but the last one). These will be your stems. Draw a line to the right of these stems. On the other side of the line, write down the ones (the last digit of a number).

A Stem Plot is a chart for demonstrating the distribution of numeric variables .

It is used to analyze the shape of the distribution.

The data provided is as follows:

S = {32,48,99,40,35,69,53,47,89,96,38}

The Stem plot is displayed as follows:

3 | 2  5   8

4 | 0  7  8

5 | 3

6 | 9

8 | 9

9 | 6  9

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Answer:

1.0954.

Step-by-step explanation:

Standard error  =  std dev / √n

=  6 / √30

= 1.0954.

Answer:

  -4y²

Step-by-step explanation:

You want to simplify the expression -√(16y⁴), given that y < 0.

The square root can be simplified by removing squares from under the radical.

  \(-\sqrt{16y^4}=-\sqrt{(4y^2)^2}=\boxed{-4y^2}\)

The sign of y is irrelevant.

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maybe try not

Step-by-step explanation:

Answer:

it would be 6 miles a day

Step-by-step explanation:

do to 41.2 miles in 1 week and a 4 mile start plus six more days it would be 6x6=36+4=40

When the class were split exactly in equal parts to form 3 be classes each class would have no more than 14 students, the expression is s / 3 <= 14.

It should be noted that an expression is simply used to illustrate the relationship between the variables that are given.

From the mr. Jones algebra class has too many students in it and each class were split exactly in equal parts to form 3 be classes each class would have no more than 14 students.

The expression will be let the total students be represented by s. This will be:

s / 3 <= 14

The expression is s / 3 <= 14.

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Write a mathematical sentence that expresses the information below use s as your variable mr.jones algebra class has too many students in it. if each class were split exactly in equal parts to form 3 be classes each class would have no ore than 14 students

Answer:

Step-by-step explanation:

a = 15 * -10 = -150

b = -1¹⁰⁰ = +1 = 1

Then:

a - b = ,-150 - 1 = -151

a x b = a * b = -150 * 1 = -150