A cable 19 m long runs from the top of a utility pole to a point on the ground 10 m from the base of the pole. How tall is the utility pole, to the nearest tenth

Answer:

9 IS THE ANSWER

The division of the number 153 by the number 17 gives the number 9.

Given a division problem.

Here,

Dividend = 153

Divisor = 17

It is required to find the quotient.

Here, 153 has to be divided by the number 17.

It is known that multiplication is the inverse operation of the division.

Here,

153 = 17 × 9

Dividing both sides by 17,

\(\frac{153}{17} =9\)

Hence, the quotient is 9.

Learn more about Division here :

https://brainly.com/question/11475557

#SPJ6

Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

To learn more about Congruence visit: brainly.com/question/12413243

#SPJ4

The solutions to the quadratic equation 22p² + 16p - 5 = 6p² are give as follows:

p = -5/4 and p = 1/4.

A quadratic equation is defined according to the rule presented as follows:

y = ax² + bx + c.

The solutions are given by the equation presented as follows:

They depend on the discriminant given by:

\(\Delta = b^{2} - 4ac\)

In this problem, the equation is given as follows:

22p² + 16p - 5 = 6p².

In standard format, it is given by:

16p² + 16p - 5 = 0.

Hence the coefficients are given as follows:

a = 16, b = 16, c = -5.

Then the discriminant is:

\(\Delta = 16^{2} - 4(16)(-5) = 576\)

The solutions are given as follows:

As fractions in simplest form, they are given as follows:

p = -5/4 and p = 1/4.

More can be learned about quadratic equations at https://brainly.com/question/24737967

#SPJ1

The complex number in polar form with argument θ between 0 and 2π is

θ = 6√2 (cos 7π/4 + i sin7π/4).

What is polar form of complex number?

Another method of expressing a complex number is in its polar form. A complex number's rectangular coordinate form is represented by the formula z = a + bi.

As per question given that,

Complex number: z = 6 - 6i

Polar form is given by IzI (cosθ + i sinθ).

So, evaluate the value of IzI as follows:

IzI = √((a)² + (b)²)

Substitute values respectively,

IzI = √((6)² + (-6)²)

IzI = √(36 + 36)

IzI = √(72)

IzI = 6√2

And evaluate the angle as follows:

θ = arc tan (-b/a)

Substitute values respectively,

θ = arc tan (-6/6)

θ = arctan (-1)

θ = 2π - π/4

θ = 7π/4

Hence, the polar form is,

θ = IzI (cosθ + i sinθ)

Substitute obtained values,

θ = 6√2 (cos 7π/4 + i sin7π/4)

Hence, the complex number in polar form with argument θ between 0 and 2π is θ = 6√2 (cos 7π/4 + i sin7π/4).

To learn more about Polar form from the iven link.

https://brainly.com/question/29045307

#SPJ4

Answer:

cost of dress is

Step-by-step explanation:

way to much they should have gone to goodwill they could get a dress for like 5 bucks

Answer:

the answer is (s)

Step-by-step explanation:

(of lines, planes, surfaces, or objects) side by side and having the same distance continuously between them

Answer:142º

Step-by-step explanation:

Because they are vertical angles.

Answer:

135

Step-by-step explanation:

\(\dfrac{x}{3}-8=37 \\\\\\\dfrac{x}{3}=45 \\\\\\x=45\cdot 3=135\)

Hope this helps!

The normal approximation for the distribution of (outcome - point spread is (np(1 - p)0.5

What is Normal Distribution?

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.

Reason:

The number of trials n in the binomial setting and the constant success probability p for each of these trials decide the proper normal distribution to choose. Our binomial variable has a mean of np and a standard deviation of (np(1 - p)0.5, which approximates a normal distribution.

It can be demonstrated using simple mathematics that there are a few circumstances in which we must apply a normal approximation to the binomial distribution. To ensure that both np and n(1 - p) are higher than or equal to 10, the number of observations n must be sufficient, as must the value of p. This is a generalization that is supported by statistical theory. The standard approximation can always be used, however it may not be a very accurate approximation if these requirements are not met.

The normal approximation for the distribution of (outcome - point spread is (np(1 - p)0.5

To learn more about Normal Distribution visit:

brainly.com/question/28030494

#SPJ4

For the given figure, the area of the shaded region is obtained as 100 m².

What is area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

The area of shaded region can be obtained as -

Area of shaded region =  Area of rectangular concrete path - Area of rectangular lawn

The formula for area of rectangle is -

Area of rectangle  =  Length × width

The area of rectangular concrete path is -

Length  =  (30+2) m  =  32 m

width  =  (18+2) m  =  20 m

Area of rectangular concrete path  =  32 × 20

Area of rectangular concrete path  =  640 m²------(1)

The area of rectangular lawn is -

Length  =  30 m and width  =  18 m

Area of rectangular lawn  =  30 × 10

Area of rectangular lawn  =  540 m²------(2)

To find the are of shaded region subtract equation (2) from (1) =

Area of shaded region = (1) - (2)

Area of shaded region =  (640 – 540) m²

Area of shaded region =  100 m²

Therefore, the total area of concrete is 100 m².

To learn more about area from the given link

https://brainly.com/question/25292087

#SPJ1

A rectangular lawn 18 m by 30 m is surrounded by a concrete path 1 m wide. Draw a diagram of the situation and find the total area of concrete.

To determine the number of suppliers Witt Input Devices should use, we need to consider the probability of a "super-event" and the marginal cost of managing additional suppliers.

With a 3% probability of a total shutdown and an estimated cost of $400,000, along with a 5% "unique-event" risk per supplier, the company should aim to balance the costs and risks to make an informed decision on the number of suppliers.

Phillip Witt wants to create a portfolio of local suppliers for his keyboards. He faces the risk of "super-events" that could shut down all suppliers simultaneously for at least two weeks. The probability of such an event occurring is 3% per year, which would result in an estimated cost of $400,000 for the company.

Additionally, each individual supplier carries a "unique-event" risk of 5%. To mitigate the risks, Witt Input Devices needs to determine the optimal number of suppliers to use. However, it is stated that up to three nearly identical local suppliers are available.

To make a decision, the company needs to balance the costs and risks. Each additional supplier incurs a marginal cost of $15,000 per year. The company should evaluate the trade-off between the cost of managing additional suppliers and the risk reduction achieved by having multiple suppliers.

Considering these factors, Witt Input Devices should analyze the costs and benefits of each additional supplier and select the number of suppliers that provides an optimal balance between risk mitigation and cost management.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ11

Answer:

D

Step-by-step explanation:

Answer:

well it depends on the size of the bucket but some buckets may be a gallon but then some are bigger id-k if this makes sense im srry

Step-by-step explanation:

Answer:

intervals (-3,-1) and (0,+infinity)

Step-by-step explanation:

if f'(x)>0 then f is increasing

At state 1, the mass of the liquid water (mf) can be calculated using the equation mf = (10 - 1.002 * m1) / 0.001, where m1 is the total mass of the water-vapor mixture and mg = 0.6 * m1.
- At state 2, the masses of the liquid water and vapor remain the same as they were at state 1. Therefore, mg2 = mg and mf2 = mf.

The mass of the water-vapor mixture in the rigid vessel can be determined using the volume and quality of the mixture.

1. Given:
  - Volume of the vessel (V) = 10 m^3
  - Quality (x) = 60%

To find the mass (m1), we need to calculate the mass of the liquid water (mf) and the mass of the vapor (mg) separately.

2. Calculate the mass of the liquid water (mf):
  - The quality (x) represents the fraction of the total mass that is in the vapor phase, while (1-x) represents the fraction in the liquid phase.
  - The total mass of the water-vapor mixture (m1) can be expressed as the sum of the mass of the liquid water (mf) and the mass of the vapor (mg):

      m1 = mf + mg

  - Since the volume of the vessel is constant, the specific volume of the liquid water (vf) and the specific volume of the vapor (vg) can be used to relate the volumes to the masses:

      V = vf * mf + vg * mg

  - Since the vessel contains only water and water vapor, we can use the compressed liquid and saturated vapor tables to find the specific volumes (vf and vg) at the given pressure of 400 kPa.

3. Find the specific volume of liquid water (vf) at 400 kPa:
  - Using the compressed liquid table, we can find the specific volume of the liquid water at the given pressure. Let's assume that the specific volume is 0.001 m^3/kg.

      vf = 0.001 m^3/kg

4. Find the specific volume of vapor (vg) at 400 kPa:
  - Using the saturated vapor table, we can find the specific volume of the vapor at the given pressure. Let's assume that the specific volume is 1.67 m^3/kg.

      vg = 1.67 m^3/kg

5. Substituting the values of vf and vg into the equation from step 2, we have:
  - 10 m^3 = (0.001 m^3/kg) * mf + (1.67 m^3/kg) * mg

6. Solve the equation to find mf and mg:
  - We have one equation with two unknowns, so we need another equation to solve for both mf and mg. We can use the given quality (x) to write another equation:

      x = mg / m1

  - Since we know the quality is 60% (or 0.6), we can rewrite the equation as:

      0.6 = mg / m1

7. Solve the system of equations from steps 5 and 6 to find mf and mg:
  - We can rearrange the equation from step 6 to solve for mg:

      mg = 0.6 * m1

  - Substitute this value into the equation from step 5 and solve for mf:

      10 m^3 = (0.001 m^3/kg) * mf + (1.67 m^3/kg) * (0.6 * m1)

  - Simplify the equation:

      10 m^3 = (0.001 m^3/kg) * mf + (1.67 m^3/kg) * (0.6 * m1)
      10 m^3 = 0.001 m^3/kg * mf + 1.002 m^3/kg * m1

  - We can see that the units of volume (m^3) cancel out, leaving us with:

      10 = 0.001 * mf + 1.002 * m1

  - Rearrange the equation to solve for mf:

      mf = (10 - 1.002 * m1) / 0.001

  - Substitute this value into the equation from step 6 to solve for mg:

      mg = 0.6 * m1

  - We now have the values of mf and mg at state 1.

8. Determine the values of mg and mf at state 2:
  - Given:
    - Pressure at state 2 (P2) = 300 kPa
    - Volume at state 2 (V2) = 10 m^3 (constant volume)

  - We need to determine the new masses (mg2 and mf2) at state 2 by using the pressure-volume relationship for water-vapor mixtures.

9. Use the pressure-volume relationship for water-vapor mixtures:
  - The pressure-volume relationship for a rigid vessel is given by:

      P1 * V1 = P2 * V2

  - Substituting the given values, we have:

      400 kPa * 10 m^3 = 300 kPa * 10 m^3

  - The volume cancels out, leaving us with:

      400 kPa = 300 kPa

  - This means that the pressure is the same at state 1 and state 2.

10. Since the pressure is constant, the masses of the liquid water and the vapor will remain the same at state 2 as they were at state 1.
  - Therefore, mg2 = mg and mf2 = mf.

To summarize:
- At state 1, the mass of the liquid water (mf) can be calculated using the equation mf = (10 - 1.002 * m1) / 0.001, where m1 is the total mass of the water-vapor mixture and mg = 0.6 * m1.
- At state 2, the masses of the liquid water and vapor remain the same as they were at state 1. Therefore, mg2 = mg and mf2 = mf.

learn more about mass on :

https://brainly.com/question/86444

#SPJ11

a) Mass at state 1 contains water-vapor mixture ≈ 19.67 kg.

b) Mass of gas (mg) at state 2 = 0 kg

Mass of liquid (mf) at state 2 = 10,000 kg.

To find the mass of the water-vapor mixture in the rigid vessel at state 1, we can use the ideal gas law for the vapor phase and the density of liquid water at the given conditions:

Given data at state 1:

Volume of the vessel (V) = 10 m³

Pressure (P) = 400 kPa = 400,000 Pa

Quality (x) = 60% = 0.60 (vapor fraction)

Density of liquid water (ρf) = 1000 kg/m³ (approximately at atmospheric pressure and 25°C)

a) Calculate the mass (m) at state 1:

Using the ideal gas law for the vapor phase:

PV = mRT

where: P = pressure (Pa)

V = volume (m³)

m = mass (kg)

R = specific gas constant for water vapor (461.52 J/(kg·K) approximately)

T = temperature (K)

Rearrange the equation to solve for mass (m):

m = PV / RT

The temperature (T) is not given directly, but since the vessel contains a water-vapor mixture at 60% quality, it is at the saturation state, and the temperature can be found using the steam tables for water.

Assuming the temperature at state 1 is T1, use the steam tables to find the corresponding saturation temperature at the given pressure of 400 kPa. Let's assume T1 is approximately 300°C (573 K).

Now, calculate the mass (m) at state 1:

m = (400,000 Pa * 10 m³) / (461.52 J/(kg·K) * 573 K)

m ≈ 19.67 kg

The mass (m) of the water-vapor mixture at state 1 is approximately 19.67 kg.

b) To find the mass of the gas (mg) and the mass of the liquid (mf) at state 2 (P2 = 300 kPa):

Given data at state 2:

Pressure (P2) = 300 kPa = 300,000 Pa

We know that at state 2, the quality is 0 (100% liquid) since the pressure is reduced by cooling the vessel. At this state, all vapor has condensed into liquid. Therefore, mg = 0 kg (mass of gas at state 2).

The mass of liquid (mf) at state 2 can be calculated using the volume of the vessel (V) and the density of liquid water (ρf):

mf = V * ρf

mf = 10 m³ * 1000 kg/m³

mf = 10,000 kg

The mass of gas (mg) at state 2 is 0 kg, and the mass of liquid (mf) at state 2 is 10,000 kg.

Learn more about Mass from the given link:

https://brainly.com/question/1838164

#SPJ11

Answer:

19

Step-by-step explanation:

A' represents everything out A

B' represents everything out B

C' represents everything out C

So only the outside is left hope this helps

The ultimate purpose of constructing a standard curve is to use it to calculate the concentration of a substance in solution.

What is a standard curve?

A standard curve is a graphical representation of a mathematical function that relates the concentration of a solution to the amount of light that passes through it. The majority of standard curves have a linear relationship between the dependent and independent variables. These curves are particularly useful for chemical tests that require the use of an instrument, such as a spectrophotometer.

A standard curve is created by generating a series of known concentrations of a specific compound in a solution. The absorption values are measured, and the data are then plotted on a graph. The resulting data points can then be utilized to create a standard curve, which can be used to identify the concentration of unknown samples.

To learn more about the standard curve visit:

https://brainly.com/question/31566377

#SPJ11

the correct answer is A. $63,200.

To compute the cost component of the machine, we need to add up all the related expenditures to the cash price of the machine.

Cash price of the machine: $60,000

Sales taxes: $2,000

Insurance after installation: $200

Installation and testing: $1,000

Total related expenditures: $2,000 + $200 + $1,000 = $3,200

Cost component of the machine: Cash price + Total related expenditures

Cost component of the machine = $60,000 + $3,200 = $63,200

Therefore, the correct answer is a. $63,200.

Learn more about Sales Taxes here :

https://brainly.com/question/29442509

#SPJ11

A bar chart or a histogram are visual representations of data that can be used to explore a single column of data.

A bar chart is used to compare different categories of data, and a histogram is used to measure the frequency of data within a given range. Bar charts allow a user to compare the differences between the categories of data, while histograms provide a better indication of how the data is distributed within the range.

Both bar charts and histograms are useful for identifying patterns, outliers, and trends in the data. By using a bar chart or a histogram, a user can quickly and easily identify where the data is concentrated, as well as identify any outliers or trends in the data.

To learn more about visual representations link is here

brainly.com/question/21658699

#SPJ4

To find a differentiable function y(x) that satisfies the initial value problem (IVP) y' = |x| and y(-1) = 2, we can integrate the given differential equation and then apply the initial condition.

Integrating both sides of the differential equation y' = |x| with respect to x, we get:

∫ y' dx = ∫ |x| dx

Integrating ∫ y' dx gives us y(x) + C₁, where C₁ is an arbitrary constant of integration.

Integrating ∫ |x| dx involves considering the different cases for x. Since x > 0 (as given in the problem), we have:

∫ |x| dx = ∫ x dx (for x > 0)

= (x^2)/2 + C₂, where C₂ is another arbitrary constant of integration.

Now, we have:

y(x) + C₁ = (x^2)/2 + C₂

To determine the values of C₁ and C₂, we can use the initial condition y(-1) = 2:

y(-1) + C₁ = ((-1)^2)/2 + C₂

2 + C₁ = 1/2 + C₂

Simplifying further:

C₁ = 1/2 - 2 + C₂

C₁ = C₂ - 3/2

We can rewrite the equation for y(x) by substituting C₁ with C₂ - 3/2:

y(x) = (x^2)/2 + (C₂ - 3/2)

Therefore, a differentiable function that satisfies the given IVP y' = |x| and y(-1) = 2 is:

y(x) = (x^2)/2 + (C₂ - 3/2), where C₂ is an arbitrary constant.

Learn more about differentiable function here:

https://brainly.com/question/18962394

#SPJ11

a) The estimated mean of the distribution of Monster attacks' speeds is 65 MS units.

b) The estimated standard deviation of the distribution of Monster attacks' speeds is 20 MS units.

c) The probability that a randomly selected Monster will have an attack speed less than 86 MS is approximately 85.19%.

d) The attack speed of the slowest 20% Monster attacks is approximately 49.2 MS units.

To estimate the mean and standard deviation of the distribution of Monster attacks' speeds and determine the probabilities, we use the concept of the normal distribution.

a) The mean of the distribution can be estimated as the average of the lower and upper bounds of the middle 68% range, which is

(45 + 85) / 2 = 65 MS units.

This represents the central tendency of the attack speeds.

b) The standard deviation can be estimated as half of the range that covers the middle 68% range, which is

(85 - 45) / 2 = 20 MS units.

This measures the dispersion or variability of the attack speeds.

c) To determine the probability that a randomly selected Monster will have an attack speed less than 86 MS, we calculate the z-score using the formula:

(86 - 65) / 20 = 1.05.

By referring to the standard normal distribution table or calculator, we find that the cumulative probability is approximately 85.19%.

d) To determine the attack speed in MS (Monster Speed units) of the slowest 20% Monster attacks, we find the z-score corresponding to the cumulative probability of 20%. Using the standard normal distribution table or calculator, we find the z-score as approximately -0.84. Then, we calculate the attack speed using the formula:

Attack Speed = Mean + (z-score * Standard Deviation)

= 65 + (-0.84 * 20)

= 49.2 MS units.

Therefore, based on the given information and estimation, the mean of Monster attacks' speeds is 65 MS units, the standard deviation is 20 MS units, the probability of an attack speed less than 86 MS is approximately 85.19%, and the attack speed of the slowest 20% Monster attacks is approximately 49.2 MS units.

To know more about statistics, visit:

https://brainly.com/question/32892997

#SPJ11

Answer:

B) 74

Step-by-step explanation:

This is an icoseles triangle because of the 2 lines in each side. This makes <Y equal to <Z

Given:

<Y = <Z

All triangle angles add up to 180 so:

<W + <Y + <Z = 180

<W + 53 + 53 = 180

<W + 106 = 180

<W = 180 - 106

<W = 74

A power series for the function, centered at 0 is ∫(1 + x + x² + x³ + ...) dx = x + (1/2)x² + (1/3)x³ + (1/4)x⁴ + .... The interval of convergence for the power series representation of ln(x + 1) is [-1, 1) in interval notation, which means that the series converges for -1 ≤ x < 1.

To find a power series representation for the function f(x) = ln(x + 1), we'll start by integrating the power series representation of 1/(1 + x), which is the geometric series:

1 + x + x² + x³ + ...

Integrating each term of the series, we obtain:

∫(1 + x + x² + x³ + ...) dx = x + (1/2)x² + (1/3)x³ + (1/4)x⁴ + ...

Now, let's determine the interval of convergence for this power series. The original series for 1 + x converges when |x| < 1. When we integrate each term, the interval of convergence may change, so we need to check for convergence of the integrated series.

To determine the new interval of convergence, we'll use the ratio test. Let's denote the new power series as g(x):

g(x) = x + (1/2)x² + (1/3)x³ + (1/4)x⁴ + ...

Using the ratio test, we evaluate the limit:

lim(n→∞) |(a_{n+1}) / (a_n)| = lim(n→∞) |((1/(n+2))xⁿ⁺²) / ((1/(n+1))xⁿ⁺¹)| = |x| lim(n→∞) ((n+1)/(n+2))

Taking the limit of the above expression, we find:

lim(n→∞) ((n+1)/(n+2)) = 1

Therefore, the ratio test gives a limit of 1, which means that the radius of convergence of the integrated series is also 1.

Now, we need to check the endpoints of the interval -1 and 1. For x = -1, we have:

g(-1) = -1 + (1/2)(-1)² + (1/3)(-1)³ + (1/4)(-1)⁴ + ...

     = -1 + (1/2) - (1/3) + (1/4) - ...

This is the alternating harmonic series, which converges to ln(2). Hence, the series converges at x = -1.

For x = 1, we have:

g(1) = 1 + (1/2)(1)² + (1/3)(1)³ + (1/4)(1)⁴ + ...

    = 1 + (1/2) + (1/3) + (1/4) + ...

This is the harmonic series, which diverges. Hence, the series does not converge at x = 1.

Therefore, the interval of convergence for the power series representation of ln(x + 1) is [-1, 1) in interval notation, which means that the series converges for -1 ≤ x < 1.

To know more about power series, refer to the link below:

https://brainly.com/question/32563763#

#SPJ11

Answer:

It's A

Step-by-step explanation:

The simplest form of √250c³/√9d⁶ is 5c√ 10c/3d³

Two or more expressions with an Equal sign is called as Equation.

The given equation or expression is √(250c³/9d⁶)

StartRoot StartFraction 250 c cubed Over 9 d Superscript 6 Baseline EndFraction EndRoot

This can be written as √250c³/√9d⁶

The numerator 250c³ can be written as twenty five times of c square times of ten times of c 25c²×10c and denominator can written as 3d³

√ 25c²×10c/3d³

The square root of 25 is 5

5c√ 10c/3d³

Hence, the simplest form of √250c³/√9d⁶ is 5c√ 10c/3d³

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

\(\frac{2}{15}\)

Step-by-step explanation:

1. There are 9 balls in total in the first box, and 6 red balls in there so we would represent this as \(\frac{6}{9}\) and that can be simplified to \(\frac{1}{3}\) .

2. There are 5 balls in total in the second box, and 2 blue balls in there, so we would represent this as \(\frac{2}{5}\) . This can't be simplified, so we leave it like that.

3. Because it's a consecutive event we multiply the probabilities, which gives us \(\frac{2}{15}\) . This can't be simplified, and that gives us our answer.

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.

We have,

Charlotte has been working for her company for x years.

Travis has been working for the same company exactly 3 years longer than Charlotte.

This means that Travis have 3 years extra than Charlotte.

So, the range of the relationship is

y>3.

Learn more about Inequality here:

https://brainly.com/question/30231190

#SPJ7