Find the inequality. I need help please, I have no idea

Find The Inequality. I Need Help Please, I Have No Idea

Answers

Answer 1

Answer:

x<-2

Step-by-step explanation:


Related Questions

2*2*2*2*2*2*2*2*2*2​

Answers

Answer:

=2×2×2×2×2×2×2×2×2×2

=1024

there are ten 2 so the answer is 1024

Step-by-step explanation:

Answer:

1024

Step-by-step explanation:

1. Differentiate the function f(x) = ln (81 sin^2 (x)) f’(x) 2. Differentiate the function P(t) = in ( √t2 + 9) p' (t) 3. if x2 + y2 + z2 = 9, dx/dt = B, and dy/dt = 4, find dz/dt when (x,y,z) = (2,2,1)
dz/dt =

Answers

First you will get 4dz

¿Cuántos decimetros hoy en un metro?​

Answers

Hay 10 decímetros en un metro

Find the difference 1-(5)​

Answers

Answer:

-4

Step-by-step explanation:

Subtract 1 - 5 = -4...

Since 1 is less than 5, we know that the difference is negative, so we can rewrite this expression as -(5-1).

5 - 1 = 4, so - (5-1) = -4.

Answer:

1-(5) is 1-5 = -4

Step-by-step explanation:

one subtracted by 5 will offer an negative number, -4.

Can you please help me

Can you please help me

Answers

m is usually slope

lets analyze this problem

its a linear line, meaning a straight line

i see that y, the output, increases by 4 every time x goes up 2

slope, or m, is equal to the rise/run

rise is 4, run is 2

4/2 = 2

m = 2

this means that for every x, y goes up 2

or, for every 2 x, y goes up 4

hope this helps :)

Find the equation of the circle whose center and radius are given.

center ( 7, -3), radius = 7

Answers

Answer:

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

Answer;

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

a line passes through points p(-6,8,1) and q (-4,1,3). find the standard parametric equations for the line

Answers

The standard parametric equations for the line passing through points P and Q is \($\begin{cases} x = -6 + 2t \ y = 8 - 7t \ z = 1 + 2t \end{cases}$\) .

To find the standard parametric equations for the line passing through points P(-6, 8, 1) and Q(-4, 1, 3), we first need to find the direction vector of the line. This can be done by subtracting the coordinates of point P from the coordinates of point Q:

\($\vec{PQ} = \begin{pmatrix}-4 \ 1 \ 3\end{pmatrix} - \begin{pmatrix}-6 \ 8 \ 1\end{pmatrix} = \begin{pmatrix}2 \ -7 \ 2\end{pmatrix}$\)

Now we can write the parametric equations in the form:

\($\begin{cases} x = x_0 + at \ y = y_0 + bt \ z = z_0 + ct \end{cases}$\)

where (x0, y0, z0) is a point on the line and (a, b, c) is the direction vector.

We can choose either point P or Q as the point on the line. Let's use point P. So we have:

\($\begin{cases} x = -6 + 2t \ y = 8 - 7t \ z = 1 + 2t \end{cases}$\)

These are the standard parametric equations for the line passing through points P and Q.

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Millie left for her trip at 11:20 a.m. on Monday. She arrived at her destination Tuesday morning at 6:48 a.m. How long was she traveling?

Answers

The time she arrived at her destination is an illustration of time duration

She travelled for 19 hours, 28 minutes

How to determine the length of the trip?

The question implies that we calculate the time taken to complete the trip.

From the question, we have:

Start = 11:20 am Monday

End = 6:48 am Tuesday

So, the duration is:

Duration = End - Start

Substitute known values

Duration = 6:48 am Tuesday - 11:20 am Monday

Evaluate the difference

Duration = 19 hours, 28 minutes

Hence, she travelled for 19 hours, 28 minutes

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write the sentence as an inequality

a number m is more than -7 2/3 or at most -10



Answers

See attachment for math work and answer.

write the sentence as an inequalitya number m is more than -7 2/3 or at most -10

The given statement in the form of inequality can be written as,\(-7 \dfrac{2}{3} \leq m \leq -10\)

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that,

A number m is more than -7(2/3) or at most -10

From the given data it is observed that the value of the number lies between -7(2/3) and -10.\

The given data can be written in the terms of inequality as,

\(-7 \dfrac{2}{3} \leq m \leq -10\)

Thus, the given statement in the form of inequality can be written as,\(-7 \dfrac{2}{3} \leq m \leq -10\)

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Use Green's Theorem to evaluate the line integral along the given positively oriented curve ∫ C ( 1 − y 3 ) d x + ( x 3 + e y 2 ) d y , C is the boundary of the region between the circles x 2 + y 2 = 4 and x2+y2=9

Answers

The value of the line integral is 65π/2

To use Green's Theorem, we need to express the given line integral as a double integral over the region enclosed by the curve C.

Let's start by finding the curl of the vector field F = (1 - y^3, x^3 + e^y^2).

∂F₂/∂x = 3x^2
∂F₁/∂y = -3y^2

So the curl of F is given by:

curl(F) = ∂F₂/∂x - ∂F₁/∂y = 3x^2 + 3y^2

Now, using Green's Theorem, we have:

∫ C (1 - y^3) dx + (x^3 + e^y^2) dy = ∬ R (3x^2 + 3y^2) dA

where R is the region enclosed by C.

To find the limits of integration, we need to find the equations of the circles. They are:

x^2 + y^2 = 4 and x^2 + y^2 = 9

The first circle has radius 2 and the second circle has radius 3. We can convert to polar coordinates to integrate over the region R:

∫ from 0 to 2π ∫ from 2 to 3 (3r^2)r dr dθ

Simplifying the integrand, we have:

∫ from 0 to 2π ∫ from 2 to 3 3r^3 dr dθ

Evaluating the inner integral first, we get:

∫ from 0 to 2π [3/4 (3^4 - 2^4)] dθ

= (3/4) (81 - 16) ∫ from 0 to 2π dθ

= 65π/2

Therefore, the value of the line integral is 65π/2

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A car travels 13 miles to the North before turning and drive 10 miles East.
From here, they drive 5 miles South, another 2 miles East, and finally drive miles South. What is their displacement?

Answers

Their displacement , that is shortest distance is equals to 13 miles

What is Displacement ?

Displacement can be defined as the shortest path covered from one path to another.

Given,

A car travels 13 miles to the North before turning and drive 10 miles East.

From here,

they drive 5 miles South, another 2 miles East, and finally drive 3  miles South

So, the shortest distance can be called as the displacement

displacement = \(\sqrt{a^2+b^2}\)

so,

a = 10+2

b = 13-5-3

b = 5

displacement = √(12^2 + 5^2 )

displacement = √169

displacement = 13

Hence, Their displacement , that is shortest distance is equals to 13 miles.

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For what value of k are the roots of the quadratic equation 3x² 2kx 27?.

Answers

For values of k between 9 and 9, the quadratic equation's roots are real and equal.

How may a quadratic problem be solved in four different ways?

The quadratic formula, using square roots, factoring, and completing the square are the four ways to solve a quadratic problem.

If an equation is quadratic, how do you know?

In other words, if a times the square of the expression that comes after b plus b times the same expression that wasn't squared plus c equals 0, you get an equation that has the form of a quadratic.

The supplied formula is 3x 2 + 2kx + 27=0.

Here a=3, b=2k, and c=27.

Roots being real and equal is a given.

∴ b \s2 \s −4ac=0

⇒ (2k) \s2 \s −4(3)(27)=0

⇒ 4k \s2 \s −324=0

⇒ 4k \s2 \s =324

⇒ k \s2 \s =81

∴ k=±9

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Full Question = For what value of k are the roots of the quadratic equation 3x2 +2kx+27=0 real and equal?

write an explicit formula for a subscript n, the nth term of the sequence 8, 11, 14,...



please please help

Answers

The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

What is arithmetic progression?

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

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You plan to purchase a house for 12.5 million baht, using a 30-year mortgage. You will make a down payment of 15 percent of the purchase price and you will not pay off the mortgage early. Ignore taxes in your analysis. Your bank offers you the following two options for payment.
Option 1: Mortgage rate of 7.25 percent and zero points.
Option 2: Mortgage rate of 6.75 percent and 4 points.
You would choose option ------- (1 or 2) because the Net Present Value of choosing option 2 is------ . (The answer can be negative. Do not round intermediate calculations and round your answer to two decimal places, e.g., 32.16.)

Answers

Option 2 has a lower NPV and thus should be chosen as it results in less total payment and better savings. Hence, you would choose option 2 as the Net Present Value of choosing option 2 is -9,903,615.48.

Given:

Purchase price = 12.5 million baht

Down payment = 15%30-year mortgage

We have to calculate the option which is best for us.

Option 1: Mortgage rate = 7.25%

Option 2:Mortgage rate = 6.75%

(a) Monthly Payment of Option 1:

Loan Amount = 12.5 * (100-15)%

= 10,625,000 baht

n = 30 * 12

= 360

i = 7.25%/12

= 0.006042857

Yearly Interest Paid = i * 10,625,000

= 64,515.48 baht

Monthly Interest Paid = 64,515.48 / 12

= 5,376.29 baht

EMI =\([P x R x (1+R)^n] / [(1+R)^n-1]\)

where P = Loan Amount, R= Interest Rate per month, n= total number of payments.

EMI = \([10,625,000 x 0.006042857 x (1+0.006042857)^360] / [(1+0.006042857)^360-1]\)

EMI = 69,677.31 baht

(b) Monthly Payment of Option 2:

Loan Amount = 12.5 * (100-15)%

= 10,625,000 baht

n = 30 * 12 = 360

i = 6.75%/12 = 0.005625

Yearly Interest Paid = i * 10,625,000

= 59,765.63 baht

Monthly Interest Paid = 59,765.63 / 12

= 4,980.47 baht

Point cost = 4% of Loan Amount

= 10,625,000 x 4/100

= 425,000 baht

Loan Amount after Deducting Points = 10,625,000 - 425,000

= 10,200,000 baht

EMI = \([P x R x (1+R)^n] / [(1+R)^n-1]\)

where P = Loan Amount, R= Interest Rate per month, n= total number of payments.

EMI =\([10,200,000 x 0.005625 x (1+0.005625)^360] / [(1+0.005625)^360-1]\)

EMI = 66,128.92 baht

(c) We have to calculate the NPV of the payments to decide which option is better.

We use the formula to calculate NPV:-

NPV = - \([B + (PMT / i) * (1 - (1 + i)^-n)] / ((1 + i)^t)\)

Where B = amount borrowed, PMT = monthly payment, i = interest rate, n = total number of payments, t = year.

NPV =\(- [10625000 + (69677.31 / 0.006042857) * (1 - (1 + 0.006042857)^-360)] / ((1 + 0.006042857)^30)\)

= -9,892,571.85 baht

NPV = \(- [10200000 + (66128.92 / 0.005625) * (1 - (1 + 0.005625)^-360)] / ((1 + 0.005625)^30)\)

= -9,903,615.48 baht

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Write an equation the line perpendicular to y-3=-10(x-2) with an x-intercept of (-20, 0) in slope-intercept form.

please show work as detailed as possible

Answers

Answer:

y=1/10x+2

Step-by-step explanation:

y-3=-10(x-2) This equation is in point-slope form so the slope is -10

The perpendicular slope is the negative reciprocal so 1/10.

Slope intercept form is y=mx+b

Plug in the points of the x-intercept and slope into y=mx+b

0=-20(1/10)+b

0=-2+b

b=2

y=1/10x+2

18)
The base of a triangle is 545 cm and the height is 388 cm. What is the area of the triangle? Recall: A-
8y133 cm?
12487 cm?
45\110 cm?
75y22 cm

Answers

Answer:

75y22cm

76c x 34 =876

Step-by-step explanation:

Select the correct answer. Let f(x) and g(x) be polynomials as shown below. Which of the following is true about f(x) and g(x)? f(x) and g(x) are closed under multiplication because when multiplied, the result will be a polynomial. f(x) and g(x) are closed under multiplication because when multiplied, the result will not be a polynomial. f(x) and g(x) are not closed under multiplication because when multiplied, the result will be a polynomial. f(x) and g(x) are not closed under multiplication because when multiplied, the result will not be a polynomial.

Answers

f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.

What is Polynomial?

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given f(x) and  g(x) two polynomial functions in the standard form of the polynomial,

According to Closure Property, when something is closed, the output will be the same as the input.

The polynomials f(x) and g(x) can be seen in the image.

On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.

Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.

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Complete question:

Select the correct answer. Let f(x) and g(x) be polynomials as shown below. Which of the following is

The graph of a parabola has an axis of symmetry of and an intercept at . It passes through the point . What is the equation representing this parabola?

The graph of a parabola has an axis of symmetry of and an intercept at . It passes through the point

Answers

Answer:

The answer is B! All I did was take a screenshot of your question and put on my page.

Asking again since I still don’t understand

Skylar collects coins and stamps. She wants to organize her collections to display them together. She has 56 coins and 72 stamps,
and she wants the same number of each item in each display.

What is the greatest number of displays Skylar can make?

Enter your answer in the box.

Answers

Answer:

She can only display each item 56 times

Step-by-step explanation:

Since she has 72 stamps and 56 coins to have a even amount of both she can only make 56 displays

Answer: 8

Step-by-step explanation: Solve this problem with GCF (Greatest Common Factor).

Factors of 56: 1, 2, 4, 7, 8, 14, 28 and 56.

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

So, the biggest among the numbers that are matching is 8.

Among 1,200 Chinese tourists who are visiting Nepal,45 of them already visited India,40 have visited Pakistan and 15 have visited both the countries. Illustrate this information in a venn_diagram and How many tourists have not visited any of these two countries.​

Answers

30 visited nepal only 25 visited Pakistan only. 15 tourists at the intersection of the two circles and 1130 have not visited either

Answer:

We're provided - Total number of Chinese tourist = 1200 i.e n ( U ) = 1200 , number of Chinese who visited India = 45 i.e n ( I ) = 45 , number of Chinese tourists who visited Pakistan = 40 i.e n ( P ) = 40 & number of tourist who have visited both Pakistan and India = 15 i.e n ( I ⋂ F ) = 15. We're asked to find out the number of tourist who have not visited any of these two counties i.e \( \tt{n( \overline{i \:⋃ \: f}) = 15}\).

\( \large{ \tt{✽ \: SOLUTION}} : \)

\( \large{ ✺ \: \tt{n(U) = n(I) + n(P) - n(I ⋂\: P) + n \: ( \overline{I \:⋃ P }\: )}}\)

\( \large{ \tt{⟹ \: 1200 = 45 + 40 - 15 + n \: ( \overline{ I \: ⋃ P})}}\)

\( \large{ \tt{⟹1200 = 70 + n \: ( \overline{ I \:⋃ P)}}}\)

\( \large{ \tt{⟹ \: 1200 - 70 = n \: ( \overline{I\: ⋃ \: P})}}\)

\( \large{ \tt{⟹1130 = n \: ( \overline{I \: ⋃ \: P})}}\)

Hence , 1130 Chinese tourists have not visited any of these two countries. [ See the attached picture for Venn diagram ]

- Hope I helped! Let me know if you have any questions regarding my answer and also notify me , if you need any other help! :)

Among 1,200 Chinese tourists who are visiting Nepal,45 of them already visited India,40 have visited

Divide: 1,363.5 : 10 = ?​

Answers

Answer:

136.35

Step-by-step explanation:

the side length of square a is (2x 1) meters. the side length of square b is 2 meters longer than that of square a. find the difference in the area of the squares.

Answers

The difference in the area of the square 'a' and 'b' as per given side-length is equal to 8 ( x + 1 ) square meters.

Side length of square 'a' = (2x + 1) meters

Side length of square 'b' = ( 2x + 1 + 2 ) meters

                                         = ( 2x + 3 ) meters

Area of a square 'a' = ( side length )²

                                = ( 2x + 1 )²

Area of a square 'b' = ( side length )²

                                = ( 2x +3 )²

Difference in the area of the squares = ( 2x +3 )² - ( 2x +1 )²

                                                             = ( 2x + 3 -2x -1 )( 2x + 3 + 2x + 1 )

                                                             = ( 2 ) ( 4x + 4 )

                                                             = 8 ( x + 1 )

Therefore, the difference in the area of the given squares is equal to    8 ( x + 1 ) square meters.

The side length of square 'a' is (2x + 1) meters. The side length of square 'b' is 2 meters longer than that of square a. find the difference in the area of the squares.

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In both the Vendor Compliance at Geoffrey Ryans (A) and
Operational Execution at Arrows Electronics there are problems and
challenges. Integrate the problems and challenges from both
cases.

Answers

In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.

One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.

Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.

Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.

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Estimate to find the answer. 52% of 10

Answers

Answer:

.50*10 is 5

.52*10 is 5.2

11. you suspect a 6-sided die to be loaded and conduct a probability experiment by rolling the die 400 times. the outcome of the experiment is listed in the following table. do you think the die is loaded? why?

Answers

There is insufficient evidence to prove that the dice are loaded because every number on them has a probability of 1/6.

The likelihood of any number appearing on a six-sided die is 1/6.

It will not be 1/6 if it is loaded.

In order to determine whether the provided distribution complies with the idealized distribution of the dice throw, we do a chi-square test.

Step 1: Form the hypothesis.

H₀ = The likelihood of rolling any number on a six-sided die is one-sixth.

H₁ = The likelihood of getting any number on a six-sided die is not one in six.

Step 2: Indicate the degree of significance.

Alpha = 0.5

Step 3: computation of the chi-square test statistic (Image is attached for this step)

Step 4: Discover the important value.

Critical Value ⇒ 12.8325 =CHISQ.INV[1 - (0.05 / 2), 5]

Step 5: Determine the p-value.

p-value ⇒ 0.853 =1 - CHISQ.DIST(1.97,5,TRUE)

Step 6: Make a choice regarding whether or not to reject H₀

We are unable to reject the null hypothesis since the p-value is higher than 0.05.

As a result, we draw the conclusion that there is a 1/6 chance of getting any number on a six-sided die.

Note: Since the chi-square value is below the threshold, the null hypothesis cannot be rejected.

Because every number on the dice has a probability of 1/6, there is insufficient evidence to support the assertion that the dice are loaded.

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11. you suspect a 6-sided die to be loaded and conduct a probability experiment by rolling the die 400

I NEED HELP ON THIS ASAP!!!

I NEED HELP ON THIS ASAP!!!

Answers

The cost Analysis for the two proposed plans for building a low ultra-light bicycle concluded on the recommendation that d that Bici Bicycle Company follow the first plan.

What are the proposed plans for the production of the above product?

The first plan involves a cost of $125,000 to design and build a prototype bicycle. The combined materials and labor costs for each bike made under the first plan will be $225. This means that for every bike Bici Bicycle Company produces under the first plan, it will incur a total cost of $350 ($125,000 + $225).

On the other hand, the second plan involves a cost of $100,000 to design and build the prototype. The combined materials and labor costs for each bike made under the second plan will be $275. This means that for every bike Bici Bicycle Company produces under the second plan, it will incur a total cost of $375 ($100,000 + $275).

Therefore, while the second plan has a lower initial cost of prototype development, it will ultimately result in a higher cost per unit produced. The first plan, although it has a higher initial prototype development cost, will ultimately result in a lower cost per unit produced.

To determine the break-even point, we can set the total cost of producing a bike under each plan equal to each other and solve for the number of bikes produced.

For the first plan:

Total cost = $125,000 + ($225 x n)

For the second plan:

Total cost = $100,000 + ($275 x n)

Setting these equal to each other, we get:

$125,000 + ($225 x n) = $100,000 + ($275 x n)

$25,000 = $50 x n

n = 500

Therefore, Bici Bicycle Company would need to produce at least 500 bicycles for the cost per unit of the first plan to be less than that of the second plan.

In conclusion, based on my analysis, I would recommend that Bici Bicycle Company follow the first plan, as it will ultimately result in a lower cost per unit produced. However, if the company anticipates producing fewer than 500 bicycles, the second plan may be more cost-effective.

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to rent a popcorn machine, it costs $35 plus $6.95 for each hour. Write an evaluate an expression to find the total cost of renting the popcorn machine for 5 hours. Then make a table showing the cost for 5, 6, 7, and 8 hours.

Answers

Answer:

y=6,95x+35

y=6,95*5+35=69,75 for 5 hours

for 6 hours y=76,7

for 7 hours y=83.65

for 8 hours y=90,6

Step-by-step explanation:

Answer:

to rent a popcorn machine, it costs 35$ plus $6.95 for each hour. write and evaluate an expression to find the total cost of renting the popcorn machine for 5 hours. then make a table showing the cost for 5, 6, 7, and 8 hours

Step-by-step explanation:

to rent a popcorn machine, it costs 35$ plus $6.95 for each hour. write and evaluate an expression to find the total cost of renting the popcorn machine for 5 hours. then make a table showing the cost for 5, 6, 7, and 8 hours

how long would it take for a lahar to reach the town of orting? in order to get full credit, show your calculations. write your answer in hours and round to the second decimal place.

Answers

According to scientists with the USGS Cascades Volcanic Observatory, a lahar could take four hours to reach Puyallup but less than an hour to reach Orting.

The Washington Emergency Management Division has issued a survey to Pierce County residents to learn more about lahars, which are volcanic mudflows that contain a mixture of water and volcanic debris such as boulders. The survey is scheduled to close on Friday.

Hazard maps show that if Mount Rainier erupts, lahar could travel through river valleys as far as Puyallup, Tacoma, and Randle.

Some areas would have more time than others to evacuate. According to the US Geological Survey, previous Mount Rainier lahars travelled at 45-50 miles per hour.

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The average wait time to get seated at a popular restaurant in the city on a Friday night is 8 minutes. Is the mean wait time greater for men who wear a tie

Answers

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The graph of f(x) and table for g(x)= f(kx) are given.


A coordinate plane with a quadratic function labeled f of x that passes through the points negative 2 comma 4 and negative 1 comma one and vertex 0 comma 0 and 1 comma 1 and 2 comma 4
x g(x)
−8 4
−4 1
0 0
4 1
8 4

What is the value of k?
k = −4
k is equal to one fourth
k is equal to negative one fourth
k = 4

Answers

The value of k is equal to one half in the given case.

Since g(x) = f(kx), the value of k can be found by comparing the input values of g(x) to the corresponding input values of f(x) when x is multiplied by k.

Let's compare the values of g(x) and f(x) for x = -2:

g(-2) = 4, which means f(k(-2)) = 4, or f(-2k) = 4

f(-2) = 4, which means -2k is one of the inputs for f(x) that gives an output of 4

Next, let's compare the values of g(x) and f(x) for x = 2:

g(2) = 4, which means f(k(2)) = 4, or f(2k) = 4

f(2) = 4, which means 2k is one of the inputs for f(x) that gives an output of 4

We now have two equations: -2k is an input for f(x) that gives an output of 4, and 2k is also an input for f(x) that gives an output of 4. Therefore, we can solve for k by setting the two equations equal to each other and solving for k:

-2k = 2k/2

Multiplying both sides by -1/2, we get:

k = 1/2

Therefore, the value of k is equal to one half.

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complete question:

Please help, 30 points!!!! The graph of f(x) and table for g(x)= f(kx) are given. A coordinate plane with a quadratic function labeled f of x that passes through the points negative 2 comma 4 and negative 1 comma one and vertex 0 comma 0 and 1 comma 1 and 2 comma 4 x g(x) −4 4 −2 1 0 0 2 1 4 4 What is the value of k?

k = 2

k = −2

k is equal to one half

k is equal to negative one half

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