7400 at 10.5 for 1/4 years

Answer:

1.6 is the quotient when 8 is divided by 5.

After pouring some water from container A into container B, the new height of the water in both containers will be equal.

When container A is filled with water to the brim, it reaches its maximum capacity. Let's assume the initial height of the water in container A is h.

When some water is poured from container A into container B, the water level in both containers will gradually equalize until they reach the same height. Let's denote this new height as H.

The reason the water levels equalize is due to the principle of fluid equilibrium. When the containers are connected and the water is allowed to flow, the water seeks a common level. This occurs because the pressure at the same height in a fluid is equal.

Therefore, after pouring water from container A to container B, the final height of the water in both containers will be H, which indicates that the water has reached an equilibrium point where the pressure is equal in both containers.

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b is the correct answer because it equals the amount of the proplem

Answer:

its C.

Step-by-step explanation:

Answer:

√25, 500%, -25/4, -6 3/8

or

500% √25, -25/4, -6 3/8

Step-by-step explanation:

√25 is 5

-25/4 is -6 1/4

500% is 5

-6 3/8

Order:

√25, 500%, -25/4, -6 3/8

or

500% √25, -25/4, -6 3/8

Hope this helps!

Answer:

Step-by-step explanation:

%of water=70%(100-30)

percent to be attained=86%(100-14)

difference in %=86-70%

=16%

literes of water=16%of 125l=20literes

hope this helps

plzz mark me brainliest

Answer: 1.8 L/h

Step-by-step explanation:

To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.

Step 1:

First, let's convert the rate from millilitres per second to litres per second.

There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:

\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)

Step 2:

We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:

\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)

Therefore, the rate of water dripping from the tap is 1.8 L/h.

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Answer:

48 + 12√3 units

Step-by-step explanation:

ALL LENGTHS MUST BE POSITIVE (I did this to avoid writing ± and showing that only + works)

1. Find AD (you'll find why later): 15² = 9² + AD² --> AD² = 144 --> AD =  12

2. 30-60-90: 12-DC-AC --> AC = 24, DC = 12√3 (side opposite of 90 is double side opposite of 30, side opposite of 60 is √3 times the opposite of 30)

P = AB + BD + DC + AC = 15 + 9 + 12√3 + 24 = 48 + 12√3 units

The perimeter of the given triangle ABC will be 59 units.

The space covered by the triangle in the two-dimensional plane will be the area of the triangle. The sum of all the sides of the triangle is called the perimeter of the triangle.

The perimeter of the triangle will be calculated as:-

First, we will calculate the perpendicular AD by using the Pythagorean theorem:-

AD  = √( 15²  -  9² )

AD  = √144

AD  =   12 units

Now we will calculate the Side AC by angle property:-

Sin 30  =  12  /  AC

AC  =  12   /  Sin 30

AC  =  12 / 0.5  =  26

The perimeter will be the sum of the all the sides of the triangle:-

P  =  AB  +  BC  +   AC

P  =  15  +  18  +  26

P   =  59 units.

Therefore the perimeter of the given triangle ABC will be 59 units.

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The proof to show that △STU≅△QUT.

Congruency is a property which implies that two given shapes are equal in respect of their length of corresponding sides, and measure of their corresponding internal angles.

Thus, the proof to show that △STU≅△QUT are explained below;

<QRU ≅ <SRT                           (vertically opposite angle property)

QT = QR + RT          

SU = SR + RU

So that;

QT ≅ SU                                   (Reflexive property of congruent triangles)

TU ≅ UT                                   (common side of congruent triangles)

QU ≅ ST                                    

<SUT ≅ <QTU                         (Reflexive property of congruent triangles)

Therefore, it can be concluded that;

△STU≅△QUT

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The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.

At time t=0,

the standing wave can be mathematically expressed as

y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.

This means that the displacement of the string is zero at time t=0.

However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.

As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).

The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.

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Answer:

x=-5

Step-by-step explanation:

-2x-41=5x-6

-35=7x

-5=x

Hello there!

-2x - 41 = 5x - 6

Move the 41 over by adding 41 to both sides.

-2x = 5x + 35

Move the 5x by subtracting it from both sides.

-7x = 35

Divide by -7 to get x.

-7/-7 = 35/-7

x = -5  

Therefore, x would equal -5.

The solution to the inequality: \(1.29m\leq 25\)  is m=19.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Value of gift card=$25

Cost of each song=$1.29

Let m be the number of songs purchased.

Then, the required inequality is as follows:

\(1.29m\leq 25\\m\leq \frac{25}{1.29}\\ m\leq 19.38\)

The value of m rounded to the nearest whole number is 19.

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The function v(x1, x2) returns the minimum value between u1(x1, x2) and u2(x1, x2), allowing us to determine the more cautious or conservative option among the two functions.



The function v(x1, x2) is defined as the minimum value between two other functions u1(x1, x2) and u2(x1, x2). It takes two input variables, x1 and x2, and returns the smaller of the two values obtained by evaluating u1 and u2 at those input points.In other words, v(x1, x2) selects the minimum value among the outputs of u1(x1, x2) and u2(x1, x2). This function allows us to determine the lower bound or the "worst-case scenario" between the two functions at any given point (x1, x2).

The function v can be useful in various contexts, such as optimization problems, decision-making scenarios, or when comparing different outcomes. By considering the minimum of u1 and u2, we can identify the more conservative or cautious option between the two functions. It ensures that v(x1, x2) is always less than or equal to both u1(x1, x2) and u2(x1, x2), reflecting the more pessimistic result among the two.



Therefore, The function v(x1, x2) returns the minimum value between u1(x1, x2) and u2(x1, x2), allowing us to determine the more cautious or conservative option among the two functions.

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tan 36° can be written as cot 54°, which simplifies to (√3 + 1) / (√3 - 1).

The tangent of 36° can be expressed in terms of its cofunction, which is the cotangent. The cotangent of an angle is equal to the reciprocal of the tangent of that angle. Therefore, we can rewrite tan 36° as cot (90° - 36°).

Now, cot (90° - 36°) can be simplified further. The angle 90° - 36° is equal to 54°. So, we have cot 54°.

The cotangent of 54° can be determined using the unit circle or trigonometric identities. In this case, the exact answer for cot 54° is (√3 + 1) / (√3 - 1).

Hence, tan 36° can be written as cot 54°, which simplifies to (√3 + 1) / (√3 - 1).

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The angle between the two edge is 30°.

Given in the Question:

Area of the garden = 28m²

two edges are = 14 meter and 8 meter.

Now, suppose that angle between the two edge is θ, we get:

    Area = 1/2 × a ×b ×sinθ

⇒  28 = 1/2 × 14 × 8 ×sinθ

⇒ 28 1/2 × 112 × sinθ

⇒ sin θ = 56 /28

⇒ sinθ = 1/2

⇒ sin = 30°

Therefore, the angle is 30°

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Evaluate, \(\int\ {ln(x)} \, dx\)

Using integration by parts, \(uv-\int {v} \, du\)

Let, \(u=ln(x) = > du=\frac{1}{x}dx\)

Let, \(dv=1dx = > v=x\)

We now have,

\((ln(x))(x)-\int\ {(x)(\frac{1}{x} )} \, dx\)

=> \(xln(x)-\int\ {1} \, dx\)

=> \(xln(x)-x+c\)

Thus the solution is, \(xln(x)-x+c\).

When a rectangle is rotated about the y-axis, it creates a solid shape known as a cylindrical shell or a hollow cylinder.

When a rectangle is rotated about the y-axis, each point on the rectangle traces a circular path.  

The resulting shape is a solid formed by the collection of these circular paths, creating a cylindrical shell or a hollow cylinder.

The height of the cylinder corresponds to the length of the rectangle, while the circumference of the cylinder corresponds to the width of the rectangle. The rotation about the y-axis gives the shape a cylindrical appearance, with the y-axis running through the center.

This shape is often used in calculus and geometry to calculate volumes and solve related problems. It is important to note that the rotation about the y-axis assumes that the longer side of the rectangle is aligned parallel to the y-axis.

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When a rectangle is rotated about the y-axis, it creates a solid shape known as a cylindrical shell or a hollow cylinder.

When a rectangle is rotated about the y-axis, each point on the rectangle traces a circular path.  

The resulting shape is a solid formed by the collection of these circular paths, creating a cylindrical shell or a hollow cylinder.

The height of the cylinder corresponds to the length of the rectangle, while the circumference of the cylinder corresponds to the width of the rectangle. The rotation about the y-axis gives the shape a cylindrical appearance, with the y-axis running through the center.

This shape is often used in calculus and geometry to calculate volumes and solve related problems. It is important to note that the rotation about the y-axis assumes that the longer side of the rectangle is aligned parallel to the y-axis.

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Answer:

Exact Form:

log  ( 7 )

log  ( 3 )

Decimal Form:

1.77124374

Step-by-step explanation:

Answer:

look at pic

Step-by-step explanation:

The logarithmic properties of a linear system are used to solve the equation.

The x-value of the intersection is x =46.

It is a system of an equation in which the highest power of the variable is always 1.

A one-dimension figure that has no width.

It is a combination of infinite points side by side.

Given

The pond can hold 400 water liters.

\(\rm y = 3.915(1.106)x\) is an expression.

Let x be the day and y be the hold of water.

When pond can hold 400 liters of water the x will be;

400 = 3.915(1.106)ˣ

(1.106)ˣ = 400/3.915    

(1.106)ˣ = 102.17

Taking logarithm on both sides, we get

log (1.106)ˣ = log (102.17)

x log (1.106) = log (102.17)                       [log aˣ = x loga] x = [log (102.17)/log (1.106)]    

x = 45.92

x = 46

Thus, the x-value of the intersection is x =46.

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Answer:

Graphing y = 3.915(1.106)x and y = 400, then finding the x-value of the intersection

Step-by-step explanation:

Answer:

i try my best to find the answer if i can

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Okay, let's solve this step-by-step:

1) We are given: a = -8, b = 2, c = 7, d = 11

2) We are asked to solve the matrix equation: [[x + y, z], [z - x, w - y]] = [[a, b], [c, d]]

3) Matching up the elements in the matrices:

x + y = a = -8 (1)

z = b = 2 (2)

z - x = c = 7 (3)

w - y = d = 11 (4)

4) Solving the equations:

From (1): x + y = -8 => x = -8 - y

Substitute in (3): z - (-8 - y) = 7 => z - (-8) = 7 + y => z = 15 + y

Substitute (2) into the above: 2 = 15 + y => y = 13

Substitute y = 13 into (1): -8 - 13 = -21 = x

Substitute x = -21 and y = 13 into (4): w - 13 = 11 => w = 11 + 13 = 24

Therefore, the values are:

x = -21

y = 13

z = 15

w = 24

So the final value of w is:

w = 24

The rate, in inches per minute, at which the radius of the sphere is changing when the radius is 4 inches is 2.83

What is the Volume of a Sphere?

The capacity of a sphere is its volume. It is the area that the sphere occupies. Cubic measurements of a sphere's volume include m3, cm3, in3, etc. The sphere has a circular, three-dimensional form. Its form is determined by three axes: the x, y, and z axes. Sports like basketball and football are all instances of spheres with volume.

Since the cross-section of the sphere is a circle, the volume in this case is dependent on the diameter of the sphere's radius. The area or region of a sphere's outer surface is known as its surface area. We may use the following formula to get the volume of a sphere whose radius is "r":

Here, In the question, It is given that:

Radius = 4inch.

Rate of increase = 569 cubic inches;

So, using the Volume of Sphere, formula:

\(\begin{aligned}v=\frac{4}{3} \pi r^3 \\\frac{d v}{d t} &=\frac{d}{d t}\left[\frac{4}{3} \pi r^3\right] \\&=\frac{4 \pi}{3}\left(3 r^2\right) \frac{d r}{d t} \\\frac{d v}{d t} &=4 \pi r^2 \frac{d r}{d t}\end{aligned}\)

\(\begin{aligned}&\frac{d r}{d t}=\frac{\frac{d v}{d t}}{4 \pi r^2}\\&\left.\frac{d r}{d t}=\frac{569}{(4 \pi)(4)^2}=\frac{d}{d t}_{r=4}^{d r^2}=569\right]\\&\frac{d v}{d t}=\frac{569}{64 \pi} \sim 2.83\end{aligned}\)

Hence,  the rate, in inches per minute, at which the radius of the sphere is changing when the radius is 4 inches is 2.83

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Answer:

So 16^3/4 = (the fourth root of 16)^3

Step-by-step explanation:

Initially, we know that 16^3/4 = 8

However, that is not what the question is asking, we need to rewrite 16^3/4 in radical form.

An important point to note is that radical form involves the use of surds, or roots.

Thus, the formula we need to use is this:

a^b/c = (the cth root of a)^b

For example:

8^2/3 = (the cube root of 8)^2

So 16^3/4 = (the fourth root of 16)^3

It should be noted that rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M due to the fact that Lines L and M are perpendicular lines.

It should be noted that perpendicular lines are the lines that intersect at a 90-degree angle. When two non-vertical lines are in the same plane and intersect at a right angle, they are said to be perpendicular.

It should be noted that horizontal and vertical lines are simply perpendicular to each other that is, the axes of the coordinate plane. Also, the slopes of the perpendicular lines are negative reciprocals.

Based on the information, rotating Q 180 degrees from the center will be similar to reflecting Q over any of the perpendicular lines. Note that an overview was given as the information wasn't complete.

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Answer:

x=2 and y=3.

Step-by-step explanation:

We can solve this by multiplying the inverse of the matrix on the left side of the equation with the matrix on the right side of the equation. The inverse of a 2x2 matrix is given by:

[a b]^-1 = 1/(ad-bc) [d -b]

                    [-c a]

So we can find the inverse of the matrix on the left side of the equation as follows:

[2 3]^-1 = 1/(2*2-3*1) [2 -3] = [-2 3]

                      [-1 2]

Multiplying this with the matrix on the right side of the equation gives us:

[-2 3] [5]   [x]

[-1 2] [4] = [y]

Which can be written as:

-2x + 3y = 5

-x + 2y = 4

We can solve this system of equations using substitution or elimination. Let’s use substitution. From the second equation, we can write:

x = 2y - 4

Substituting this into the first equation gives us:

-2(2y-4) + 3y = 5

-4y + 8 + 3y = 5

-y = -3

y = 3

Substituting this value of y into either of the equations gives us:

x = 2(3) - 4

x = 2

so

x=2 and y=3.

a) 80 hours after 11:00 on a 12-hour clock would be 7:00.

b) 40 hours before 12:00 on a 12-hour clock would be 4:00.

c) 100 hours after 6:00 on a 12-hour clock would be 10:00.

a, To find this, we need to divide 80 by 12 (the number of hours on the clock), which gives us a quotient of 6 and a remainder of 8. We then add the remainder to the starting time of 11:00, giving us 7:00.

b, To find this, we need to subtract 40 from 12 (the number of hours on the clock), which gives us 8. We then subtract 8 from the starting time of 12:00, giving us 4:00.

c, To find this, we need to divide 100 by 12 (the number of hours on the clock), which gives us a quotient of 8 and a remainder of 4. We then add the quotient (which represents a full cycle of 12 hours) to the starting time of 6:00, giving us 6+8=14:00, which is equivalent to 2:00 on a 12-hour clock. Finally, we add the remainder of 4 to 2:00, giving us 10:00.

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a. For the function, the interval for which f is concave down on [0,2π] is (π/4, 5π/4).

CCUP: (0, π/4) and (5π/4, 2π)

CCDOWN: (π/4, 5π/4)

b. The coordinates of the points of inflection are (π/4, 2.45) and (5π/4, -5.95).

a. To find the intervals for which f is concave up and concave down on [0,2π], we need to determine the second derivative of the function f(x):

f(x) = -5.5 sin x + 5.5 cos x

f'(x) = -5.5 cos x - 5.5 sin x

f''(x) = 5.5 sin x - 5.5 cos x

To find where f is concave up (CCUP), we need to find where f''(x) > 0. Thus, we solve the inequality:

5.5 sin x - 5.5 cos x > 0

sin x > cos x

This inequality holds for 0 < x < π/4 and 5π/4 < x < 2π. Therefore, the intervals for which f is concave up on [0,2π] are (0, π/4) and (5π/4, 2π).

To find where f is concave down (CCDOWN), we need to find where f''(x) < 0. Thus, we solve the inequality:

5.5 sin x - 5.5 cos x < 0

sin x < cos x

This inequality holds for π/4 < x < 5π/4. Therefore, the interval for which f is concave down on [0,2π] is (π/4, 5π/4).

Thus, we have:

CCUP: (0, π/4) and (5π/4, 2π)

CCDOWN: (π/4, 5π/4)

b. To find the coordinates of any points of inflection for f on [0,2π], we need to find where the concavity changes, i.e., where f''(x) = 0 or is undefined. Thus, we solve the equation:

5.5 sin x - 5.5 cos x = 0

sin x = cos x

This equation holds for x = π/4 and x = 5π/4.

To determine the concavity at these points, we can examine the sign of f''(x) in the intervals surrounding these points:

For x in (0, π/4), f''(x) < 0, so f is concave down.

For x in (π/4, 5π/4), f''(x) > 0, so f is concave up.

For x in (5π/4, 2π), f''(x) < 0, so f is concave down.

Therefore, the points of inflection for f on [0,2π] are (π/4, f(π/4)) and (5π/4, f(5π/4)).

To find the coordinates of these points, we can substitute π/4 and 5π/4 into the original function:

f(π/4) = -5.5 sin(π/4) + 5.5 cos(π/4) = -2.75 + 5.5/√2 ≈ 2.45

f(5π/4) = -5.5 sin(5π/4) + 5.5 cos(5π/4) = -2.75 - 5.5/√2 ≈ -5.95

Therefore, the coordinates of the points of inflection are (π/4, 2.45) and (5π/4, -5.95).

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Answer: 39.66

Step-by-step explanation: hope this helps!!!!