A 2-column table with 4 rows. The first column is labeled x with entries 0, 0.5, 1, 1.5. The second column is labeled y with entries 40, 39.25, 38.5, 37.75. What is the range of this function?

Answer:

3

Step-by-step explanation:

5x+6-x=18

5x-x=18-6

4x=12

4x/4=12/4

x=3

Circumference  =   2pi  * r

So

3pi   =  2pi  r               divide  away pi

3  =  2  r

(3/2)  =  r    =   1.5 m

Area  =  pi  ( r^2)   =   pi  (1.5)^2   =   2.25 pi   m^2   ≈  7.07  m^2

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Answer:

A reflection then a different reflection.

Step-by-step explanation:

Figure Q is the result of applying two distinct and consecutive operations on Figure P: (i) x-Axis Reflection, (ii) y-Reflection. Now we explained what each operation consists in.

x-Axis Reflection:

\((x, y) \longrightarrow (x, -y)\), \(\forall\,(x,y) \in \mathbb{R}^{2}\)

y-Axis Reflection:

\((x, y) \longrightarrow (-x, y)\), \(\forall \,(x,y)\in \mathbb{R}^{2}\)

Hence, the correct answer is "a reflection then a different reflection".

Answer:

after working for at least 10 1/4 years

Step-by-step explanation:

After working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

A quadratic equation, \(ax^{2} +bx+c=0\) is solved by

\(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)

Given function \(f(x)=x^4-10x^2+10000\)

Function that has monthly salary $20,000 will be \(x^4-10x^2+10000=20000\)

\(x^4-10x^2+10000-20000=0\)

\(x^4-10x^2-10000=0\)

Now using the formula \(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)

\(x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}\)

\(x^2=\frac{10 \pm \sqrt{40100} }{2}\)

\(x^2=\frac{10 \pm 200.2}{2}\)

\(x^2=5 \pm 100.1\)

\(x^2=105.1\)

\(x=\sqrt{105.1}\)

\(x=10.25\)

Hence, after working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

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Answer:

English for fast response

Using the graph and the table given: A) Car 1 will go farther.

In the image given, the table represents the relationship between amount of fuel (x) and distance covered (y) for car 1, while the graph shows that for car 2.

Using any point on the table, (10, 370), find the unit rate for car 1:

Unit rate for car 1 = 370/10 = 37 miles per gallon.

Therefore, for 25 gallons, we would have:

37 × 25 = 925 miles

Car 1 will go 925 miles.

Using any point on the graph, (2, 52), find the unit rate for car 2:

Unit rate for car 2 = 52/2 = 26 miles per gallon.

Therefore, for 25 gallons, we would have:

26 × 25 = 650 miles

Car 2 will go 650 miles.

In conclusion, Car 1 will go farther

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1. The dollar decrease of Jane's investment account is $2,166.

2. The amount in Jane's account at the end was $5,434.

To get the decrease in dollars, we need to calculate 28.5% of $7,600.

The dollar decrease will be:

= 0.285 x $7,600

= $2,166

To find the amount, we must subtract the decrease from the initial amount. So, the end balance will be:

= $7,600 - $2,166

= $5,434

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Answer:

3) A     4) D

Step-by-step explanation:

Answer:

3) Undefined 4) positive 5

Step-by-step explanation:

3) The line is a straight horizontal line, a straight line has no slope because the line is unchanging throughout.

4) I see you answered this, however you were incorrect and I see why, easy mistake to make. So the question is asking slope of the line not the equation. The line has an upwards slope, so the slope is positive. Also, your rise over run is going to the right so its positive. If it was asking for equation, your y -intercept would be negative so that have been what you were thinking, however for your slope, where the line is placed on the graph doesnt matter.Hope this helped!

The correct sentence regarding the sets is given as follows:

{1,3,5} C {x|x is an odd counting number}.

The set of counting numbers is composed by the non-negative numbers that are not decimals, hence they are given as follows:

{0, 1, 2, 3, 4, ...}

The set of odd numbers is composed by the numbers that are not divisible by 2, hence numbers that finish with digits 1, 3, 5, 7 or 9.

A set A is contained into another set B when it is a subset of the set B, that is, all of the elements of A belong to B. The symbol that represents if a set is contained into another is given by letter c.

In the context of this problem, we have that the elements 1, 3 and 5 are:

Hence the set is contained, and the correct sentence is:

{1,3,5} C {x|x is an odd counting number}.

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Answer:

2. -3.5

Steps:

divide both sides by by (-2.4): -2.4x ÷ (-2.4) = 8.4 ÷ (-2.4)

any equation divided by itself equals 1 so that would be the right side: x = 8.4 ÷ (-2.4)

divide the equation on the left and get: x = -3.5

Answer:

-3.5

Step-by-step explanation:

im genius

Answer:

3 2/3

Step-by-step explanation:

7 1/3 =22/3

3 2/3= 11/3

22-11= 11

11/3= 3 2/3

Answer:

It is 3 2/3 because you can carry an one to 7 1/3 = 6 4/3 then 6 4/3 - 3 2/3 = 3 2/3

Answer:

in part A the mark up in 140%

Step-by-step explanation:

so in part B  mark up the 25 dollar jacket by 140% that's 35 per jacket

divide 260 by 35 and it's 7.42... something.. so they will have to sell 8 jackets to make at least 260 dollars in total sales

Answer:

28 and 12 . (QUORA)

Step-by-step explanation:

Let’s write this down. We are looking for X and Y.

The difference between two numbers is 16: −=16

Three times the larger number is seven times the smaller:  ∗3=∗7

So, we need to solve X and Y from these two equations.

If we re-arrange X*3 = Y*7, we get Y = X*3/7.

So, −∗3/7=16 .  −∗3/7  is the same as  7∗/7−3∗/7 , or  4∗/7 . So  4∗/7=16−>4∗=7∗16−>=7∗4=28 .

Then we just go back to  −=16 , and  =28 , gives us  28−=16,  or  =28–16−>=12 .

So the numbers are 28 and 12.

Answer: $51.48

Step-by-step explanation:

If a $52 item is marked up by 10%, its new price will be:

$52 + 10% of $52 = $52 + $5.20 = $57.20

Then, if this new price is marked down by 10%, the final price will be:

$57.20 - 10% of $57.20 = $57.20 - $5.72 = $51.48

Therefore, the final price of the item after the markup and markdown is $51.48.

Answer:

Step-by-step explanation:

Wind, friction and terrain (flat versus hilly) all oppose motion of the bike.  Air resistance increases as the bicyclist goes faster (there's none at 0 mph, a significant amount at 30 mph, a greater amount at 40 mph, and so on).

Answer:

70.99

Step-by-step explanation:

Use Pythagorean Theorem to find the shortest distance.

80^2-50^2=3900

Square rt= 62.44

Subtract by 15

47.44

Next find half of the circular path it is (3.14 x 15)/2

23.55

Add 47.44+23.55=70.99

Hope this is correct

The Yosemite bill was introduced in Congress 5 times before it was passed into law. The first time it was introduced was in 1864, and it took until 1890 for it to finally pass.

This tells us a few things about the people involved in the process. First, it tells us that they were persistent. They didn't give up on their goal of protecting Yosemite, even though it took them many years to achieve it. Second, it tells us that they were willing to compromise. The original bill proposed that Yosemite Valley and Mariposa Grove be granted to the State of California. However, the final bill that was passed granted the land to the federal government. This shows that the people involved were willing to work together to find a solution that would benefit everyone involved.

Here are the details of the different times the Yosemite bill was introduced in Congress:

1864: The Yosemite Valley Grant Act was introduced by Representative John Conness of California. The bill was passed by the House of Representatives, but it died in the Senate.

1865: The Yosemite Valley Grant Act was reintroduced by Representative Conness. The bill was passed by both the House of Representatives and the Senate, but it was vetoed by President Andrew Johnson.

1869: The Yosemite Valley Grant Act was reintroduced by Representative Conness. The bill was passed by both the House of Representatives and the Senate, and it was signed into law by President Ulysses S. Grant.

1889: The Yosemite National Park Act was introduced by Representative William Vandever of Iowa. The bill was passed by both the House of Representatives and the Senate, and it was signed into law by President Benjamin Harrison.

1890: The Yosemite National Park Act was amended to add the Mariposa Grove of Giant Sequoias to the park. The amendment was passed by both the House of Representatives and the Senate, and it was signed into law by President Harrison.

The Yosemite bill was a major victory for conservationists. It protected a beautiful and unique landscape from development and ensured that it would be available for future generations to enjoy. The fact that it took so many years to pass the bill shows the challenges that conservationists face in protecting our natural resources. However, it also shows that with persistence and compromise, it is possible to achieve great things.

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Answer:

$25

Step-by-step explanation:

Cost of one article = $2.50

Total number of articles = 10

Therefore,

Total cost = Cost of one article*Total number of articles

= 2.50*10

= $25

The given series terms can be described as follows:

From this, we are able to calculate and sum the rest of the terms until A10, as follows:

From the solution de developed above, we are able to conclude that the answer to the present question is:

To set up an integral for the area of the resulting surface when the given curve is rotated about the x-axis, we can use the disk or washer method. The disk or washer method allows us to calculate the volume of a 3-dimensional figure by integrating a 2-dimensional figure around a central axis.

For part (a), we integrate with respect to x from 1 to e:

A = ∫1e 2πx(x2 - ey) dx

For part (b), we integrate with respect to y from 0 to 2:

A = ∫02 2π(x2 - ey) dy

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The impulse response (b) hy(t) = cos(2t)u(t) corresponds to a stable LTI system. Option b is correct.

An LTI (Linear Time-Invariant) system is stable if and only if its impulse response h(t) is absolutely integrable, i.e., the integral of the absolute value of the impulse response over all time is finite:

For impulse response (a), hi(t) = e^-(1-2)t u(t), we can compute the integral of its absolute value:

Since the integral is finite, this impulse response corresponds to a stable LTI system. For impulse response (c), h(t) = 8δ(-21), where δ(t) is the Dirac delta function, the integral of the absolute value is:

Since the integral is finite, this impulse response also corresponds to a stable LTI system. For impulse response (b), hy(t) = cos(2t)u(t), we can compute the integral of its absolute value:

Since the integral is infinite, this impulse response does not correspond to a stable LTI system. Hence Option b is correct.

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A random selection of an Endure All battery has a 10.56% probability of lasting more than 550 hours.

The Z score is utilized to calculate how far the raw score deviates from the mean.

The Z score is calculated as follows:

z = (x - μ)/σ

Given that x > 550 and μ = 500, σ = 40:

z = 550 - 500 / 40

z = 1.25

Following the normal distribution chart,

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Therefore, there is a 10.56% chance that a randomly chosen Endure All battery would survive longer than 550 hours.

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Answer:

291.666666667

Step-by-step explanation:

one minute is 60 seconds

17500 divided by 60

291.666666667

Answer: 92° or 1.6057 radians

Step-by-step explanation:

the 4 angles created by the intersecting lines SU and RT have to equal 360°

<v = 88° because of vertical angles so

88° • 2 = 176°

360° - 176° = 184°

184°/ 2 = 92°

92°+92°+88°+88° = 360°

then, that makes 92° the central angle of arc RU and the central angle degrees is always equal to the arc it subtends

hope this helps :)

Answer:

2

Step-by-step explanation:

It's 2

The perimeter of the quarter circle is 6.28ft

The perimeter of a circle is called as the circumference of the circle. The circumference is the external body of a circle.

The perimeter of a circle = 2πr

where r is the radius of the circle.

The perimeter of a quarter circle will be 1/4 ×2πr

= 1/2πr

the radius of a quarter circle is still thesame as the radius of a complete circle.

Therefore the perimeter of the quarter circle = 1/2πr

= 1/2 ×3.14 × 4

= 6.28ft

Therefore the radius of the perimeter of the quarter circle is 6.28ft

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Answer:

239392iq5858558586867685858484939939

e

Step-by-step explanation:

abcdefghijklmnopqrstuvwxyz