Evaluate g/-5, when g=-5

Answer:

Step-by-step explanation:

These angles are equal because the parallel lines are traversed by a straight line.

17x-6=15x+10 add 6 to each side

17x=15x+16. Subtract 15x from each side

2x=16. divide each side by 2

x=8

If u and v are functions of x that are differentiable at x=0 and u(0)=5, u'(0)=-3, v(0)=-1, and v'(0)=2

A) The value of d/dx(7v-2u) is 16.

B) The value of d/dx(u*v) is 11.

C) The value of d/dx(v/u) is 13/25

D) The value of d/dx(u/v) is 1.

E) The value of d/dx(3u-2v+2uv) is 13.

A) To differentiate the expression 7v-2u with respect to x, we simply need to differentiate each term with respect to x and then subtract.

Therefore, d/dx(7v-2u) = 7(dv/dx) - 2(du/dx).

Using the given initial conditions, we have dv/dx(0) = 2 and du/dx(0) = -3. Therefore, d/dx(7v-2u) = 7(2) - 2(-3) = 16.

B) To differentiate the expression uv with respect to x, we can use the product rule of differentiation.

Therefore, d/dx(uv) = (du/dx)v + u(dv/dx).

Using the given initial conditions, we have du/dx(0) = -3, dv/dx(0) = 2, u(0) = 5, and v(0) = -1.

Therefore, d/dx(uv) = (-3)(-1) + 5(2) = 11.

C) To differentiate the expression v/u with respect to x, we can use the quotient rule of differentiation.

Therefore, d/dx(v/u) = (v' u - v u')/(u^2).

Using the given initial conditions, we have v'(0) = 2, u'(0) = -3, u(0) = 5, and v(0) = -1.

Therefore, d/dx(v/u) = (25 - (-1)(-3))/(5^2) = 13/25.

D) To differentiate the expression u/v with respect to x, we can use the quotient rule of differentiation.

Therefore, d/dx(u/v) = (u' v - u v')/(v^2).

Using the given initial conditions, we have u'(0) = -3, v'(0) = 2, u(0) = 5, and v(0) = -1.

Therefore, d/dx(u/v) = (-3*(-1) - 5*2)/((-1)^2) = 1.

E) To differentiate the expression 3u-2v+2uv with respect to x, we simply need to differentiate each term with respect to x and then add. Therefore, d/dx(3u-2v+2uv) = 3(du/dx) - 2(dv/dx) + 2(u(dv/dx) + v(du/dx)).

Using the given initial conditions, we have du/dx(0) = -3, dv/dx(0) = 2, u(0) = 5, and v(0) = -1.

Therefore, d/dx(3u-2v+2uv) = 3(-3) - 2(2) + 2(5*2 + (-1)(-3)) = 13.

In summary, we can use basic differentiation rules such as the product rule and the quotient rule to differentiate expressions involving u and v with respect to x. We can then use the given initial conditions to evaluate these derivatives at x=0.

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If nitrogen gas at 275°degrees if the sample has a volume of 10 L at 500°C and the pressure of the gas is constant then the  measurement of nitrogen flow has a volume of 7.08 L.

It is assumed that

volume of gas at 500°C is 10 L or 773 k.

We must identify

275 °C volume of gas = 548 k

According to Charles Law, a gas's capacity at an are more and constant pressure are exactly proportional to one another. The link among temperature and pressure may be stated mathematically as

Charles' law asserts that what a gas's volume is equivalent to a fixed number times the temperatures of just that gas, as determined either by Temperature scale (zero Kelvin corresponds to -273.15 degrees Celsius).

V1/T1 = V2/T2

10/773 = V2/548

V2 = 7.08 L

In light of this, a measurement of nitrogen gas has a volume of 7.08 L.

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Answer:

2,4,8

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

-20 = -1/20

I HOPE YOU UNDERSTAND!!! ^u^

Answer:

I'm not sure.

Step-by-step explanation:

Answer:

Just as geometry has rules, definitions, postulates, and theorems that help with problem-solving and understanding the relationships of shapes and solids, the Bible provides a similar guide for living a Christian life. The Bible contains a set of principles and teachings that serve as a foundation for Christian beliefs and values. These principles and teachings help Christians to understand the nature of God and their relationship with him, as well as the principles for living a moral and virtuous life.

In the same way that geometry relies on deductive reasoning to draw conclusions and make predictions, Christians use their knowledge of the Bible to make decisions and navigate the challenges of daily life. The Bible provides guidance on a wide range of topics, including relationships, work, ethics, and personal growth, helping Christians to make wise choices and avoid pitfalls.

Additionally, just as geometry helps us to understand the spatial relationships of objects, the Bible helps us to understand our place in the world and our relationship with others. The Bible teaches us about the importance of love, compassion, and forgiveness, and helps us to see the value and worth of every human being.

Overall, the Bible serves as a guide for living a Christian life, providing principles, teachings, and guidance that help us to understand God, ourselves, and our relationships with others.

Step-by-step explanation:

Answer:

yes...........s..s.s..s..s..,...

Part A:

For a normally distributed data, population mean = sample mean

From the question, population mean = 34.82

Hence the sample mean = 34.82

The sample standard deviation is given by;

where n = 6, and

Therefore, the sample standard deviation is 2.05.

Part B

The interpretation of the standard deviation of the sampling distribution is that, since the square root of the sample size appears at the denominator, the standard deviation decreases as the sample size increases.

Part C

Hence, the probability is 0.0111.

Answer:

The fraction of the pencils that are red is 4/10. The fraction of the pencils that are black is 6/10.

Step-by-step explanation:

[I can't draw you a model but I reccomend that when you do, you seperate it into 10 pieces and mark 4 as red pencils and 6 as black pencils. You could also simplify 4/10 to 2/5 and 6/10 to 3/5, but instead you'd seperate the model into 5 pieces and mark 2 as red pencils and 3 as black pencils.]

First, let's add this up so we have our denominator.

4 + 6 = 10.

Now that we know that the denominator is 10, we apply it to the question.

The box has 4/10 red pencils and 6/10 black pencils.

The box has 4/10 red pencils and 6/10 black pencils.If you were to simplify, it'd be 2/5 red pencils and 3/5 black pencils.

Answer:

Step-by-step explanation:

the smallest value is 96.25 or rounded to the nearest whole number it is 96

what i did was put in my calculator 1540 divided by 4^2 because it is squared and has 4 sides

option C, which shows a line graph, is the appropriate graph that Josie can use to help her budget.

What is the linear function?

A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.

Josie can use a line graph to help her budget since the given function is a linear function.

The graph of a linear function is a straight line, and a line graph is a graph that represents data with points connected by straight lines.

Therefore, option C, which shows a line graph, is the appropriate graph that Josie can use to help her budget.

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Complete question:
The graphs are in the attached image.

If a bicyclist in motion increases his speed by 30 percent and then increases this speed by 10% , 43%. percent of the original speed is the total increase in speed

To find the total increase in speed, we first need to find the new speed after the first increase of 30%.

If the original speed is represented as 100%, then the new speed after the first increase is

100 + (30% of 100) = 100 + 30 = 130.

Next, we find the new speed after the second increase of 10%.

The new speed after the second increase is

130 + (10% of 130) = 130 + 13 = 143.

Finally, we find the percent increase in speed compared to the original speed of 100%.

The percent increase in speed is

(143 - 100) / 100 * 100 = 43%.

Therefore, the total increase in speed is 43%.

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A formula for calculating the area of a triangle is A=1/2(b*h), where b is the length of the base and h is the height  of or length of the altitude, of the triangle.

Identify the base and sketch in the height on each type of triangle.

right triangle - One of the sides that touches the 90-degree angle constitutes the foundation of a right triangle.

The height of a triangle is measured from its base to its highest point, and in a right triangle, that height can be determined from the side that forms a right angle to the base.

acute triangle - Three sides and three vertices make up the fundamental polygon known as the triangle. It has three sides, which results in three interior angles. An acute angle is one that is between 0° and 90° in length. When all three of the triangle's internal angles are acute, the triangle is said to be acute.

obtuse triangle - In an obtuse triangle, the height or altitude from the acute angles is outside the triangle. To find the height of the obtuse triangle, we extend the base as illustrated.

what is a triangle?

Three edges and three vertices make up a triangle, which is a polygon. It is among the fundamental shapes in geometry. Triangle ABC refers to a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear identify a distinct triangle and a distinct plane at the same time.

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The total amount of money earned over 12 years would be $483,732.

Amount is a word used to describe a numerical value or quantity. It is commonly used in mathematics, finance, and economics in order to identify the size or magnitude of something. Within those contexts, it is often used to refer to the total sum of money, goods, or services that are available or being exchanged.

To calculate this, we can use the formula for compound interest:
A = \(P(1 + r/n)^{(nt)\)
Where A is the total amount, P is the principal (initial amount), r is the interest rate (4% per year in this case), n is the number of times the interest is compounded per year (1 for annually) and t is the time (12 years in this case).
Plugging in the values, we get:
A = \(\$36,500 (1 + 0.04/1)^{(1\times 12)\)
A = $483,732.
Therefore, the total amount of money earned over 12 years would be $483,732.

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The total amount of money earned over 12 years would be $483,732.

Amount is a word used to describe a numerical value or quantity. It is commonly used in mathematics, finance, and economics in order to identify the size or magnitude of something. Within those contexts, it is often used to refer to the total sum of money, goods, or services that are available or being exchanged.

To calculate this, we can use the formula for compound interest:
A = \(P(1 + r/n)^{(nt)\)
Where A is the total amount, P is the principal (initial amount), r is the interest rate (4% per year in this case), n is the number of times the interest is compounded per year (1 for annually) and t is the time (12 years in this case).
Plugging in the values, we get:
A = \(\$36,500 (1 + 0.04/1)^{(1\times 12)\)
A = $483,732.
Therefore, the total amount of money earned over 12 years would be $483,732.

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The solution is y = -5

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c = 0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

Given data ,

Let the function be f ( x ) = y

And , y = x² + 2x - 8

So , f ( x ) = x² + 2x - 8

Substituting the value for x in the equation , we get

When x = -3

f ( -3 ) = ( -3 )² + 2( -3 ) - 8

         = 9 - 6 - 8

         = 9 - 14

f ( -3 ) = -5

When x = 1

f ( 1 ) = ( 1 )² + 2( 1 ) - 8

       = 1 + 2 - 8

       = 3 - 8

f ( 1 ) = -5

Hence , the value of y = -5

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Answer:

your answer is 8

Step-by-step explanation:

If you divide  322.4 by the speed 40.3 you would get 8 the amount of hours traveling the given distance.

If you dont think the answer is correct you can simply mutiply 40.3 by 8 to ensure that 322.4 miles is in fact how far you will go in that time

hope this help. Have a good day!

\

Bye

Answer:

12

Step-by-step explanation:

We need to assume that every kid got one order of drink and popcorn to make this answer a lot easier.

Considering we already know that the rental costs, all we need to do is find the number of kids that were there, multiplying every ticket, popcorn, and drink bought per child.

A. 8

100 + (7.00 * 8) + (2.25 * 8) + (3.45 * 8) = 201.6

This is not the final cost of $252.40, therefore it is incorrect.

B. 12

100 + (7.00 * 12) + (2.25 * 12) + (3.45 * 8) = 252.41 or 252.4

This equates to the final cost, therefore making it correct.

If 12 is the answer, then any number higher will be incorrect, cross out C. and D.

Answer:

56

Step-by-step explanation:

First you want to multiply -7 and -8. after you do that you'll get your answer of 56 and you can check your answer by doing 56/-7 which equals -8.

(a) P(X < 1470) = 0.8849, P(X >= 950) = 0.7487, (b) the probability that the size of a single droplet is between 950 and 1470 μm is 0.6336, (c) the smallest 2% of all droplets are those smaller than 827 μm in size, and (d) the probability that at least one exceeds 1470 μm is 0.3995.

(a) To find the probability that the size of a single droplet is less than 1470 μm or at least 950 μm, we need to use the standard normal distribution table. To do this, we first need to convert the droplet size to a standard normal variable.

Let X be the droplet size. Then we have:

Z = (X - 1050)/150

The probability that the size of a single droplet is less than 1470 μm is equal to the cumulative distribution function of Z evaluated at Z = (1470 - 1050)/150 = 1.2:

P(X < 1470) = P(Z < 1.2) = 0.8849 (rounded to four decimal places)

The probability that the size of a single droplet is at least 950 μm is equal to 1 minus the cumulative distribution function of Z evaluated at Z = (950 - 1050)/150 = -0.6:

P(X >= 950) = 1 - P(Z < -0.6) = 0.7487 (rounded to four decimal places)

(b) To find the probability that the size of a single droplet is between 950 and 1470 μm, we subtract the cumulative distribution function of Z evaluated at Z = (950 - 1050)/150 = -0.6 from the cumulative distribution function of Z evaluated at Z = (1470 - 1050)/150 = 1.2:

P(950 <= X <= 1470) = P(Z <= 1.2) - P(Z <= -0.6) = 0.8849 - 0.2513 = 0.6336 (rounded to four decimal places)

(c) To find the smallest 2% of all droplets, we find the value of Z such that P(Z <= Z) = 0.02. Using the standard normal distribution table, we find that Z = -2.33. Then, we convert Z back to the original variable X:

X = Z * 150 + 1050 = -2.33 * 150 + 1050 = 827 (rounded to two decimal places)

So, the smallest 2% of all droplets are those smaller than 827 μm in size.

(d) To find the probability that at least one of five independently selected droplets exceeds 1470 μm, we use the cumulative distribution function of a binomial distribution with n = 5 and p = P(X > 1470). The cumulative distribution function of a binomial distribution with parameters n and p is given by:

1 - (1 - p)^n

Using the standard normal distribution table, we find that P(X > 1470) = 1 - P(Z < (1470 - 1050)/150) = 1 - 0.8849 = 0.1151. Then, we plug in n = 5 and p = 0.1151 into the cumulative distribution function formula:

P(at least one exceeds 1470 μm) = 1 - (1 - 0.1151)^5 = 0.3995 (rounded to four decimal places).

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The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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x = 73.21

Step-by-step explanation:

Consider triangle ABC. Since angle A is 45° and side BC is 100, then side AB is also 100.

Now consider triangle ABD. With angle A equal to 60°, we can use the definition of tangent to find the value of x:

tan 60 = BD/AB

sqrt(3) = (x + 100)/100

or

x + 100 = 100sqrt(3)

x = 100[sqrt(3) - 1]

= 73.21

Answer:

Step-by-step explanation:

2^45

A dial indicator is an instrument used to accurately measure small distances. A probe or stylus is applied to the object to be measured and the instrument gives a reading in decimal inches. The correct answer is +0.005.

The measurement shown on the dial indicator is +0.005. The concept of a dial indicator is quite interesting. A dial indicator is an instrument used to accurately measure small distances.

The object is located between the measuring surfaces of the indicator and a probe or stylus is applied to the object to be measured. As the probe moves over the object, the instrument gives a reading in decimal inches.

Therefore, the correct answer to this question is option C: +0.005.

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Step-by-step explanation:

The slope of 3 and -10.

If the slope is above 0, the line is increasing.

If the slope is at 0, it's a horizontal line or straight. Vertical If the run is 0.

If the slope is below 0, the line is decreasing.

3 is slanting upward, the slope is greater than 0 therefore the line is increasing.

-10 is slanting downward, the slope is less than 0 therefore the line is decreasing.

Answer:

The amount of saving is Rs.1000.

Step-by-step explanation:

Solution :

Let the,

So, solving for x.

\({\dashrightarrow{\tt{Expenditure + Saving = 2500}}}\)

\({\dashrightarrow{\tt{3x + 2x = 2500}}}\)

\({\dashrightarrow{\tt{5x = 2500}}}\)

\({\dashrightarrow{\tt{x = 2500 \div 5}}}\)

\({\dashrightarrow{\tt{x = \dfrac{2500}{5}}}}\)

\({\dashrightarrow{\tt{x = \cancel{\dfrac{2500}{5}}}}}\)

\({\dashrightarrow{\tt{x =500}}}\)

\({\star{\underline{\boxed{\tt{\red{x =500}}}}}}\)

Hence, the value of x is 500.

Thus,

\( \rule{300}{1.5}\)

The angles of triangle ABC are 60 degrees when altitude BH and bisector AL intersect at point M.

What is equilateral triangle?

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides.

Given that:

\(\angle HML = 100 \\\\\angle MLC = 110\)

Since, BH is the altitude \(\angle MHC= 90\).

The total angle of a quadrilateral is 360, hence:

100 + 110 + 90 + C = 360

C = 60 degrees.

Now consider triangle BHC:

The sum of angle of a triangle is 180, hence:

90 + 60 + B = 180

B = 30

Since the half angle B = 30, the entire \(\angle ABC = 60\).

Consider triangle ABC:

Using sum of triangles, we have:

\(\angle A + \angle B + \angle C = 180\\\\\angle A + 60 + 60 = 180 \\\\\angle A = 60\)

Hence the measure of angles of triangle ABC is 60 degrees.

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Answer:

-2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Calculus

Derivatives

Basic Power Rule:

Quotient Rule: \(\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}\)

Step-by-step explanation:

Step 1: Define

\(\frac{d}{dx} [\frac{f(x)}{h(x)} ] \ at \ x = -2\\h(x) = x^3\\f(-2) = 8\\f'(-2) = 4\)

Step 2: Differentiate

Step 3: Evaluate

The phase constant for the harmonic oscillator with the velocity function v(t), if the position function has the form x(t) = x_m cos(ωt + φ)  is: -0.927 rad

We are told that the vertical scale is set as: v_s = 4.0 cm/s

Using the formula of velocity, we can find the phase constant for the harmonic oscillator from the position function of form,

x(t) = x_m cos(ωt + φ)

The velocity of a body in motion is expressed as:

v = dx/dt  -----(i)

Equation of displacement of the motion:

x(t) = x_m cos(ωt + φ)    -----(ii)

Differentiating equation (ii), we get:

v = -v_m sin (ωt + φ)    -----(iii)

Using the values of t = 0 s, v_m = 5 cm/s, v = 4 cm/s in equation (iii), we get:

4 = -5 sin  (ω(0) + φ)  

φ = sin⁻¹(4/5)

φ = -0.927 rad

Therefore, the phase constant for the harmonic oscillator with the velocity function v(t), if the position function has the form x(t) = x_m cos(ωt + φ)  is -0.927 rad

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Complete question is:

What is the phase constant for the harmonic oscillator with the position function x(t) given in the plot if the position function has the form x = x_m cos(ωt + φ). The vertical axis scale is set as v_s = 4.0 cm/s

Answer:

a

Step-by-step explanation:

General equation of a circle : \((x-h)^2+(y-k)^2=r^2\)

where (h,k) is at center and r = radius

Here, we want to find the equation of a circle with a given center at (3,4) and a given radius of 6

This is very simple, all we have to do is assign variables and then plug in the values of the variables into the general equation of a circle

First lets assign variables.

(h,k) is center and the circle has a given center at (3,4)

so (h,k) = (3,4) thus, h = 3 and k = 4

r = radius and the circle has a given radius of 6 so r = 6

now we plug this into the general equation of a circle.

recall equation : (x-h)² + (y-k)² = r²

h = 3, k = 4 and r = 6

plug in values

(x-3)² + (y-4)² = 6²

simplify exponent

(x-3)² + (y-4)² = 36

and we are done!

The answer is A