y = 0.15x + 8.27 museum collected from 2007 to 2014. best fit line

The range of possibilities for the third side of the triangle, after using the triangle inequality theorem is 13 < n < 25.

According to the theorem of triangle inequality, the sum of any two of a triangle's sides must exceed the length of the third side. When we know the lengths of two sides, x and y, we can apply the triangle inequality theorem to estimate the length of the third side, which will be between x + y and x - y.

As a result,

x – y < n < x + y

19 – 6 < n < 19 + 6

13 ft < n < 25 ft

To learn more about triangle inequality theorem, click here:

https://brainly.com/question/30095626

#SPJ4

A forecast is defined as a(n) prediction of future values of a time series which is option B.

Using past data as inputs, forecasting is a process that produces accurate predictions of the future course of trends. Companies use forecasting to decide how to spend their budgets and make plans for forthcoming costs. Often, this is based on the anticipated demand for the provided goods and services.

Forecasting is a tool used by investors to predict if certain events, such sales projections, would raise or lower the price of a company's stock. For businesses that require a long-term view on operations, forecasting also offers an essential benchmark.

To predict how trends, like as the GDP or unemployment, will change in the upcoming quarter or year, equity analysts utilise forecasting. Lastly, statisticians may examine the probable effects of a change in business operations via forecasting. Data may be gathered, for example, on how altering company hours affects consumer happiness or how changing particular work conditions affects staff productivity.

Learn more about Forecast:

https://brainly.com/question/29023834

#SPJ4

95km/h is the average speed for the whole journey

Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement

Given,

Simon drives 75 km at an average speed of 120 km/h

9 km at 70 km/h without stopping.

We need to find the average speed.

Average speed = Total distance/Total time

The total distance is 75km+9km

84 km

The average speed is sum of speeds by two

120+70=190/2=95km/h

Hence, 95km/h is the average speed for the whole journey

To learn more on Speed click:

https://brainly.com/question/28224010

#SPJ1

Answer:

x=3

Step-by-step explanation:

Simplifying

8(2x + 4) = 80

Reorder the terms:

8(4 + 2x) = 80

(4 * 8 + 2x * 8) = 80

(32 + 16x) = 80

Solving

32 + 16x = 80

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-32' to each side of the equation.

32 + -32 + 16x = 80 + -32

Combine like terms: 32 + -32 = 0

0 + 16x = 80 + -32

16x = 80 + -32

Combine like terms: 80 + -32 = 48

16x = 48

Divide each side by '16'.

x = 3

Simplifying

x = 3

Answer:

x =  -7

Step-by-step explanation:

WORK:

1. 2x + 4= -80/8

​​ 2. 2x + 4 = 10

3. 2x = -10 - 4

4. 2x = 14

5. x = -14/2

SIMPLIFY: -14/2 = -7

I hope this helps!

Answer:

plane = 196

wind = 31

Step-by-step explanation:

This is a very nice question. It teaches you quite a bit about physics.

Let the plane's speed be p

Let the wind's speed be w

p + w = 227

p - w = 165          Add the two (you could also begin by subtracting)

2p =     392         Divide by 2

p =      392/2

p  =      196

p + w =  227

196 + w = 227

w = 227 - 196

w = 31

Thanks for posting.

ANSWER

f(-4) = -21

EXPLANATION

We have that:

f(x) = 6x + 3

We want to find f(-4)

To do this, we replace x with -4:

f(-4) = 6(-4) + 3

f(-4) = -24 + 3

f(-4) = -21

That is the answer.

Answer:Total of 1.98 minutes of the ride are spent higher than 23 meters above the ground.

The boarding platform of a Ferris wheel is 3 meters above the ground and the Ferris wheel is 30 meters in diameter and spins once every 9 minutes. We have to determine how many minutes of the ride are spent higher than 23 meters above the ground.

Step 1: Calculate the height of the Ferris wheel from the ground.The height of the Ferris wheel from the ground can be determined as half the diameter plus the height of the boarding platform.

∴ Height of the Ferris wheel

= 30/2 + 3

= 15 + 3

= 18 meters

Step 2: Calculate the radius of the Ferris wheel.The radius of the Ferris wheel can be calculated by dividing the diameter by 2.∴ Radius of the Ferris wheel

= 30/2

= 15 meters

Step 3: Calculate the time taken by the Ferris wheel to complete one revolution.Time taken by the Ferris wheel to complete one revolution is given to be 9 minutes.

Step 4: Calculate the angle of elevation for 23 meters above the ground.Let θ be the angle of elevation for 23 meters above the ground.Then we have:

tan θ = 23/15θ

= tan-1 (23/15)

Step 5: Calculate the fraction of the ride spent higher than 23 meters above the ground.The fraction of the ride spent higher than 23 meters above the ground is equal to the fraction of the circumference of the circle above the height of 23 meters.The circumference of the circle is given by 2πr, where r is the radius of the circle.The fraction of the ride spent higher than 23 meters above the ground is,∴ Fraction of the ride spent higher than 23 meters above the ground = θ/360º

= (tan-1 (23/15))/360º

Step 6: Calculate the time spent higher than 23 meters above the ground.Time spent higher than 23 meters above the ground is equal to the fraction of the time taken by the Ferris wheel to complete one revolution multiplied by the time taken for one revolution

.∴ Time spent higher than 23 meters above the ground

= (tan-1 (23/15))/360º × 9 minutes≈ 0.22 × 9 minutes≈ 1.98 minutes Answer:Total of 1.98 minutes of the ride are spent higher than 23 meters above the ground.

To know more about platform visit;

brainly.com/question/29548334

#SPJ11

The spring compressed in stopping the ore car is  4.4719 m.

For answer this we will apply the rule of the conservation of energy,

The conservation of energy principle states that in a closed system, the energy of interacting objects or particles remains constant. Kinetic energy, sometimes known as the energy of motion, was the first type of energy to be identified. The total of the kinetic energy of the particles before collision and the sum of the kinetic energy of the particles after collision are identical in some particle collisions, known as elastic collisions.

where:

\(E_i=E_f\)

First, we will call:

\(E_i\):the automobile is parked

\(E_f\):when the spring is shortened

so:

\(E_i=E_f\)

\(mgh=\frac{1}{2}kx^2\)

where M is the vehicle's mass, g is gravity, h is height, K is the spring's constant, and X is the compressed spring used to halt the ore car. By substituting values, we obtain:

4800×9.8×13.8=\(\frac{1}{2}\times 410000\times x^2\)

calculating x:

x = 4.4719 m

Learn more about spring

brainly.com/question/14159361

#SPJ4

The amount of the insurance agent's sales for the month is 11,000.

The total income can be modelled as a linear equation. A linear equation is an equation that has one variable that is raised to the power of one. The form of a linear equation is:

y = mx + b

Where:

530 = base salary + (percentage x value of sales over 2000)

530  = 200 + 3% x s

530 = 200 + 0.03s

530 - 200 = 0.03s

330 = 0.03s

s = 330 / 0.03

s = 11,000

To learn more about commissions, please check: https://brainly.com/question/20987196

#SPJ1

The smallest p-value is always associated with the z-score that is furthest away from the mean. This is because the tails of the normal distribution curve have less area and thus represent smaller p-values. The correct answer is option (d) z = -3.24.

In a hypothesis test, there are two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1).

The null hypothesis is the one we're testing, while the alternative hypothesis is the one we're trying to support or prove.

A two-tailed alternative hypothesis is one in which we are interested in whether a parameter is not equal to a certain value, as opposed to one-tailed alternative hypotheses, in which we are interested in whether the parameter is greater than or less than a certain value.

To know more about distribution visit

https://brainly.com/question/29332830

#SPJ11

Answer:

3.7

Step-by-step explanation:

Absolute value is defined as the following:

\(\displaystyle{|x| = \left \{ {x \ \ \ \left(x > 0\right) \atop -x \ \left(x < 0\right)} \right. }\)

In simpler term - it means that for any real values inside of absolute sign, it'll always output as a positive value.

Such examples are |-2| = 2, |-2/3| = 2/3, etc.

The solution to the system of inequalities is (-3.375, 1.75)

The system of inequalities is given as:

3y > 2x+12

2x+y ≤ -5

Next, we plot the graph of the system using a graphing tool

From the graph, both inequalities intersect at

(-3.375, 1.75)

Hence, the solution to the system of inequalities is (-3.375, 1.75)

Read more about system of inequalities at:

brainly.com/question/19526736

#SPJ1

Answer:

this

Step-by-step explanation:

this

The region is enclosed by \($y=e^{3x}+1$\), the y-axis, x=0 and x=0.1. T

he area of the region is given by:

\begin{aligned} A

\(=\int_{0}^{0.1} e^{3x}+1\; dx \\ =\left.\frac{e^{3x}}{3}+x\right|_0^{0.1}\\ =\frac{1}{3}\left(e^{0.3}-1\right)+0.1\\\)

=0.1458 \end{aligned}

We rotate the region about the y-axis to form a solid.

Using the formula for the volume of the solid of revolution, we can determine the volume of the solid.  

\(\begin{aligned} V=\pi\int_{0}^{0.1} \left(e^{3x}+1\right)^2\;dx\\ =\pi\int_{0}^{0.1} e^{6x}+2e^{3x}+1\;dx\\ =\pi\left[\frac{e^{6x}}{6}+\frac{2e^{3x}}{3}+x\right]_0^{0.1}\\ =\pi\left[\frac{e^{0.6}}{6}+\frac{2e^{0.3}}{3}+0.1-\left(\frac{1}{6}+\frac{2}{3}\right)\right]\\ =\pi\left(\frac{1}{6}e^{0.6}+\frac{1}{3}e^{0.3}-\frac{1}{2}\right)\\ &=2.0507\pi\end{aligned}\)

Hence, the volume of the solid is 2.0507\pi cubic units.

To know more about enclosed visit :

https://brainly.com/question/28474333

#SPJ11

Answer:

Rs 6900

Step-by-step explanation:

To calculate the tax amount the girl should pay in a year, we need to determine the taxable income and then apply the corresponding tax rates.

The taxable income is calculated by subtracting the tax-free allowance from the girl's early income:

Taxable Income = Early Income - Tax-Free Allowance

Taxable Income = 150,000 - 100,000

Taxable Income = 50,000

Now, we can calculate the tax amount based on the given tax rates:

For the first 20,000 rupees, the tax rate is 12%:

Tax on First 20,000 = 20,000 * 0.12

Tax on First 20,000 = 2,400

For the remaining taxable income (30,000 rupees), the tax rate is 15%:

Tax on Remaining 30,000 = 30,000 * 0.15

Tax on Remaining 30,000 = 4,500

Finally, we add the two tax amounts to get the total tax she should pay in a year:

Total Tax = Tax on First 20,000 + Tax on Remaining 30,000

Total Tax = 2,400 + 4,500

Total Tax = 6,900

Therefore, the girl should pay 6,900 rupees in tax in a year.

=========================================================

Let's go through the answer choices one by one

Hello, again!! :p

I'm not sure about the whole equation because I was taught to solve it in a different way and I got the answer  =3 ± i√ 6 ,not a -3.

Sorry, I'm not sure if that was much help!

Answer:

28cm^2

Step-by-step explanation:

The area of a trapezoid is the bases added divided by two times the height.

(9+5)/2*4=7*4=28

28cm^2

Answer:

8

Step-by-step explanation:

(-5,6) (-5,-2)

Notice how the two points have the same x-coordinate. This means that they are directly on top of each other. To find their distance, all we need to do is subtract their y-coordinate values.

6-(-2)

Two negatives make a positive

6+2

8

Therefore, the distance between the two points is 8 units.

I hope this helps!

Answer: 11.9

Step-by-step explanation:

The opposite is across from the 35 degree angle and the ajacent is the side valued at 17.

Answer:

A. 11.9

Step-by-step explanation:

35° = opposite/adjacent

tan(35°) = x/17

tan(35) x 17 = 11.90352814

x = 11.90352814

x = 11.9

The subdivider has to get the deposit back to Max within 30 days.

A deposit is an amount of money paid to a vendor or a seller to secure goods or services. A deposit is a partial payment made to a business in advance of a larger purchase or delivery.

A subdivision is a housing development built on a portion of land that has been divided into multiple lots. The subdivider divides a large piece of land into smaller plots and sells each lot to individuals who are looking to build their own homes, thus creating a subdivision.

Max can get his deposit back within 30 days. This is because the subdivider has to refund the deposit within 30 days if the buyer cancels the reservation of the plot due to any reason, including the delay that the subdivider has experienced.

To know more about subdivider: https://brainly.com/question/30029483

#SPJ11

Answer:         D

Step-by-step explanation: becaus elook at it bitlkjmnjhnnjh

Hence the given statement is proved.

Given: ST || UV, ST = VU

we are asked to prove  STW = VUW

Statement(Reason)

ST || UV (Given)

Angle S = Angle V (Alternate interior angle)

Angle SWT = Angle VWU (Vertically opposite Angle)

ST = VU (Given)

Therefore, based on above, we can say that the triangle STW is congruent to VUW by AAS (i.e. Angle Angle Side congruency.

Hence the statement is proved bu angle angle side congruency.

Learn more about Parallel lines here:

brainly.com/question/24607467

#SPJ9

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

If an octagon is 24, how many is a pentagon?

Ans : Pentagon has 5 sides.

( A five-sided shape is called a pentagon. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides. The names of polygons are derived from the prefixes of ancient Greek numbers. )

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

The pentagon is 15, when octagon is 24.

What is Polygon?

A polygon is a figure made up of line segments (not curves) in a two-dimensional plane. Polygon is the combination of two words, i.e. poly (means many) and gon (means sides).

Polygon with 8 sides known as Octagon and polygon with 5 sides known as Pentagon.

Here, given that, Octagon = 8 sides = 24

So, 1 side= 3

Then, we get, pentagon = 5 sides = (5×3) = 15

Hence, the pentagon is 15.

To learn more on Polygon click:

https://brainly.com/question/15324224

#SPJ2

Answer: 112 is the correct answer

Answer:

122

Step-by-step explanation:

Answer:

-9.28%

Step-by-step explanation:

Subtract the prior accounting period's profit from the current accounting period's profit. The result gives you the numerical change in profit.

970000-880000= 90000

90000 in percentage = -9.28%

Answer:

-9.28%

Step-by-step explanation:

Subtract the prior accounting period's profit from the current accounting period's profit. The result gives you the numerical change in profit.

970000-880000= 90000

90000 in percentage = -9.28

Answer:

x^2 + 16x - 15 = 0.

Step-by-step explanation:

x^2 + 16x – 11 = 4    Subtract 4 from both sides:

x^2 + 16x - 15 = 0  is one equation with  the same roots.

Also any equation which is a multiple of the above will have the same roots. For example if we multiply by 3:

3x^2 + 48x - 45 = 0.