A plane flies 220 miles in an hour with the jet stream. The return flight against the jet stream to the the original hangar takes 2
hours. Which system of linear equations can be used to find the rate of the jet stream and the speed of the plane?
A)
x + y - 440
x - y - 110
B)
x + y = 220
x-y-110
9.
x + y = 220
x+y=110
D)
x + y = 220
x - y = 220

Answer:

2:5 is less than 7:15

Step-by-step explanation:

7:15 = 7/15 = .47 = .5

the other given ratios are,

9:15 = 3:5 = 3/5 = .6

2:5 = 2/5 = .4

3:5 =3/5 = .6

24:45 = 8:15 = 8/15 = .5

thus, the ratio which is less than 7:15 is 2:5

Answer:

3x-14=180

3x=194

x= 64 2/3

4(x-9)=180

4x-36=180

4x=216

x=54

Hope This Helps!!!

Step-by-step explanation:

(3x-14)°=180°

3x-14=180

3x=180+14

3x=194

x=64.6

[4(x-9)]°=180°

4x-36=180

4x=180+36

4x=216

x=54

Answer:

C

Step-by-step explanation:

y=mx+b m=slope b=y-intercept, y-int: 4 slope: 3/1 but can just be put as 3. y=3x+4 bc it's a positive slope with a positive y-int.

Step-by-step explanation:

5½ = 11/2

hope this helps you.

Answer:

5 1/2

Step-by-step explanation:

The equation of a circle is given by the following general structure:

When solving the perfect squares we have:

When looking at the given expression, we can observe that -18x and 12y are the equivalents for -2hx and -2ky. We can use this information to find h and k which are the coordinates of the center of the circle:

It means that the center of the circle is located at (9,-6).

To determine the radius of the circle, we have to take into account that 92 is the equivalent for h^2+k^2-r^2. Use this information to find r which is the radius of the circle:

It means that the radius of the circle is 5.

Answer:

c

Step-by-step explanation:

28 time it's self is 784

Answer:

Step-by-step explanation:

convert in to cm:  (28 in)(2.54 cm/in) = 71.12 cm

radius = r = D/2 = 71.12/2 = 35.56 cm

A-circle = πr² = π(35.56)² = 3973 cm²    none of the answers shown are correct!

UNLESS is the diameter 28 cm??

If so, the solution is:

A = π(28/2)² = 615.7 cm²   again, none of the answers shown are correct!

You may want to double check your question

The equation of line is y = 3

Given the points:

(x₁, y₁) = (-1, 3)

(x₂, y₂) = (7, 3)

The slope-intercept form:

y = mx + b

Where m is the slope and b is the y-intercept.

The formula for slope is,

m = (y₂ – y₁) / (x₂ – x₁)

We have given,

x₁ = -1

x₂ = 7

y₁ = 3

y₂ = 3

So,

m = (3 – 3) / ( 7-(-1)) = 0/8 = 0

Slope intercept form,

y = mx + b

Considering y as 3, then

3 = 0(x) + b

3 = 0 + b

b = 3

Therefore, the equation of line is

y = 3

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Answer:x=3 , y=-5 OR (3,-5)

Step-by-step explanation:

Answer:

the tax is added for the time of the delivery if your question is that yes

Step-by-step explanation:

Categorical data are the sort of variable that would need utilizing a population proportion hypothesis test rather than a population mean hypothesis test.

Data that cannot be easily gathered by counting is referred to as categorical data, which is another name for qualitative data. Hypothesis testing may be used with this type of data. Data are used in hypothesis testing to draw conclusions about population characteristics.

The findings are reached after first proposing a null hypothesis. Therefore, for qualitative or categorical data, a hypothesis test of the population is performed rather than a numerical test of the population mean.

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A bar chart is a graph that shows the differences in frequencies or percentages among categories of a nominal or an ordinal variable.

A bar chart is a commonly used graphical representation to display the distribution of data in different categories. It is particularly useful when working with nominal or ordinal variables, where the categories are distinct and unordered or have a specific order.

In a bar chart, each category is represented by a rectangular bar whose length corresponds to the frequency or percentage associated with that category. The height of the bar represents the magnitude or count of the variable in each category, allowing for easy visual comparison between the categories.

The bars in a bar chart can be arranged horizontally or vertically, depending on the preference or nature of the data. The chart may also include labels or annotations to indicate the category names or additional information.

By examining the lengths or heights of the bars in a bar chart, it becomes easy to identify the categories with the highest or lowest frequencies or percentages, as well as to compare the relative magnitudes among the different categories. This graphical representation aids in visualizing and interpreting the distribution of a nominal or an ordinal variable effectively.

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Step-by-step explanation:

so, if the text is correct, the 2 points are

(2, 3) and (-3, 15).

the length of the line segment is the distance between both points.

did this we use Pythagoras for right-angled triangles.

c² = a² + b²

c is the Hypotenuse and the distance between both points. a and b are the legs (enclosing the 90 degree angle), which are simply the differences of the x and the y coordinates.

so,

distance² = (2 - -3)² + (3 - 15)² = 5² + (-12)² = 25 + 144 = 169

distance = sqrt(169) = 13 = length of line segment

Answer:

slope=-5/2 and equation of line y=-5/2x+3

Step-by-step explanation:

we find the slope by using formula =y2-y1/x2-x1

The quadrilateral ABCD is a trapezoid initially, and if vertex C is shifted from (11, -1) to (11, 1), it becomes a parallelogram.

A quadrilateral with vertices A(11, -7), B(9, -4), C(11, -1), and D(13, -4) is a trapezoid. A trapezoid is a quadrilateral with at least one pair of parallel sides.

In this case, side AB is parallel to side CD since they both have the same slope (rise over run). The other pair of sides, BC and AD, are not parallel.

If the vertex C(11, -1) were shifted to the point C(11, 1), quadrilateral ABCD would become a parallelogram. A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Shifting point C upward by 2 units would change the coordinates of C from (11, -1) to (11, 1), resulting in parallel sides BC and AD, since their slopes would be equal.

The parallel sides AB and CD would remain unchanged.

In summary, the quadrilateral ABCD is a trapezoid initially, and if vertex C is shifted from (11, -1) to (11, 1), it becomes a parallelogram.

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Answer:

The answer is -17

Step-by-step explanation:

Add all the numbers together:

-12-10 is -22

Then -22+5= -17

Answer:

I believe the answer is yes.

Step-by-step explanation:

Good Luck!!

Circled shapes have a circular boundary, while not circled shapes can have a wide range of different boundaries, often featuring straight sides and angles rather than curves.

The classification of shapes into circled and not circled groups typically implies that some shapes are enclosed within a circle, while others are not. This distinction is based on whether the shape has a circular boundary or not.

Shapes that are circled have a well-defined circular outline or boundary. For example, a circle itself is a shape that belongs to the circled group. Other examples of circled shapes can include ellipses, ovals, or curved shapes that resemble circles when enclosed within a circular boundary.

On the other hand, shapes that are not circled lack a circular boundary. These shapes can have various other forms, such as squares, triangles, rectangles, pentagons, hexagons, or any irregular shape that does not fit within the definition of a circle or possess a circular outline.

The primary distinction between the circled and not circled shapes lies in their respective boundaries. Circled shapes have a circular boundary, while not circled shapes can have a wide range of different boundaries, often featuring straight sides and angles rather than curves.

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Answer:

Step-by-step explanation:

To graph it you first need to find the solutions

|x| + 2 ≤ 6

|x| ≤ 4         you need to cancel out 2 to isolate the x so subtract it to both sides.

[-4,4]          x is absolute value so that means both -4 and 4 would equal 4 since they are all the same distance away from zero.

-4 ≤ x ≤ 4   now you just need to graph it. You graph the points -4 and 4 then just draw a line in between. Also remember to shade in the circle because 4 is greater than and equal to x.

Answer:

\((3.4)\)

Step-by-step explanation:

Answer = No,It can be either rational or irrational.

________________________________

Prroof —

4 ÷ √8 = √2 { Which is an irrational number }

________________________________

Now, Here comes a twist,

We know that — 0 is a rational number.

And, 0 ÷ √56666 = 0 ________________________________

Note—

But, √56666 ÷ 0 = Error ( Lol )

________________________________

A proton has a mass of \($$1.6726 * 10^{-24}\) g corresponds to 1.0072766 Atomic Mass Unit

A proton exists 1836.096 times heavier than an electron.

Proton Mass = 938.2720813 \($$MeV/c_2\)

Electron = 0.5109989461 \($$MeV/c_2\)

E : P Ratio = 1 : 1836.15267

\($$m_{p\) = mass of a proton (1.007277 AMU)

\($$m_n\) = mass of a neutron (1.008665 AMU)

\($$m_e\) = mass of an electron (0.000548597 AMU)

\($$m_{atom}\) = mass of nuclide (AMU)

A proton has a mass of \($$1.6726 * 10^{-24}\) g corresponds to 1.0072766 Atomic Mass Unit

[AMU, Atomic Mass Unit exists utilized to describe atomic and molecular weights, equivalent to one-twelfth of the mass of an atom of carbon-12].

Whereas, the Electron exists at \($$9.1093 * 10^{-28}\) equaling 0.000548597 AMU.

Electron to Proton Ratio = 1: (0.000548597 / 1.0072766)

= 1836.096

A proton exists 1836.096 times heavier than an electron.

Proton Mass = 938.2720813 \($$MeV/c_2\) (MeV= Mega Electron Volt)

(As per Mass - the energy equivalence principle, energy exists proportional to mass whereby, an electron volt exists also as a unit of Mass. Energy can be converted to Momentum and Mass)

Electron = 0.5109989461 \($$MeV/c_2\)

E : P Ratio = 1 : 1836.15267

Therefore, the correct answer is E : P Ratio = 1: 1836.15267.

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"The chi-square goodness of fit test is a statistical test used to determine whether the distribution of a categorical variable is significantly different across multiple populations or treatments". The given statement is correct.

It is a chic and powerful tool for analyzing and interpreting data in various fields of study.

The chi-square goodness of fit test is a statistical method used to determine whether the observed distribution of a categorical variable differs significantly from the expected distribution across several populations or treatments.

This test helps identify if there is a relationship between the categorical variable and the populations under study.

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Answer:

Don’t really know what the question is, but these are the answers for x

Step-by-step explanation:

the domain of a function is always the interval or set of all valid input values (usually x, but here t).

the range is the interval or set of all valid result values (usually y or f(x), here h(t)).

as the graph shows, the function works only for values of t starting at 0 (at 0 seconds the object has 0 ft height, it is still on the ground and about to launch).

and it ends at t = 7.

obviously the object hits the ground after 7 seconds again after coming back down. so, the height function does not make any sense for values of t after that.

so, again, the domain is

0 <= t <= 7

Ships enter and leave a port or harbor through a process known as "ship navigation." When a ship approaches a port or harbor, it follows a designated shipping channel or fairway. This channel is usually marked by buoys or beacons to guide the ship safely.

Environmental considerations: Modern port design takes into account environmental factors, such as coastal erosion, water quality, and marine habitat protection. Ports may need to incorporate measures to minimize the impact on the environment, such as the use of environmentally friendly construction materials, waste management systems, or the implementation of measures to reduce air and water pollution.

In summary, ships enter and leave a port or harbor through ship navigation, which involves following a designated shipping channel. A transit harbor is a stopover location for ships, a point of convergence is where shipping routes intersect, and a gateway port is a major hub for international trade. The design of modern ports is influenced by factors such as geography, traffic volume, accessibility, and environmental considerations.

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Answer:

30 meters per second

Step-by-step explanation:

Step 1:

600 ÷ 20 = 30

Answer:

30 meters per second

Hope This Helps :)

Answer:

30 m /s

Step-by-step explanation:

We are looking for the speed

d/t = speed

600m / 20 second

30 m /s

Answer:  33 gallons

Step-by-step explanation:

The water tank is a cube, with one dimension of x meters. Its volume will be x^3.

X^3 = 729m^3

x = 9 meters.  The cube has 4 side walls and a top and bottom, for a total of 6 interior walls.  Each wall has an area of x^2, or 81 m^2.

(6 walls)*(81 ft^2) = 486 m^2

One gallon of paint will cover 15 m^2.  The conversion factor is (1 gallon/15 m^2)

(486 m^2)*(1 gallon/15 m^2) = 32.4 gallons, rounded up to 33 gallons

Answer:

29

Step-by-step explanation:

The probability of an event happening is a number from 0 (even will cannot possibly happen) to 1 (event will definitely happen.)

0 ≤ p ≤ 1

1/100, 0, 85% are all numbers from 0 to 1.

29 is not from zero to 1, so the answer is 29.

Every value{0.01, 0.29, 85%} can represent the probability of an event occurring except option d that is 1.5.

Given to us,

a.)  \(\dfrac{1}{100}\)

b.)  0.29

c.)  85%

d.)  \(\dfrac{3}{2}\)

The probability help us to know about the probability of specific events occurring.

For a sure event, the probability is always 1,

while for an event that will never happen the probability is always 0.

Thus, probability(p),  \(\bold{1 \geq p\geq 0}\).

Now looking at the options,

a.)  \(\dfrac{1}{100}\) = 0.01

b.)  0.29

c.)  85% = 0.85

d.)  \(\dfrac{3}{2}\) = 1.5

Now comparing each option with \(\bold{1 \geq p\geq 0}\).

Therefore, the only option which is not feasible is option d that is 1.5.

Hence, every value{0.01, 0.29, 85%} can represent the probability of an event occurring except option d that is 1.5.

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The value of the line integral is:

\((1/27) (49^{(3/2)} - 13^{(3/2)})\)

≈ 36.724

To evaluate the line integral:

\(\int C x^2/y^{(4/3)} ds\)

C is the curve given by x = t² and y = t^3, and ds is the element of arc length along the curve.

We can parameterize the curve as:

r(t) = (t², t³), 1 ≤ t ≤ ∛2

Then the tangent vector to the curve is:

r'(t) = (2t, 3t²)

The length of the tangent vector is:

|r'(t)| = √(4t² + 9t⁴ = t√(4 + 9t²)

So, the element of arc length ds is:

ds = |r'(t)| dt = t√(4 + 9t²) dt

The integral becomes:

\(\int C x^2/y^{(4/3)} ds\)

=\(\int(1 to 3\sqrt 2) (t^4)/(t^{(8/3)}) (t\sqrt{(4 + 9t^2)}) dt\)

= \(\int (1 to 3\sqrt 2) t^{(2/3)}\sqrt (4 + 9t^2) dt\)

To evaluate this integral, we can make the substitution u = 4 + 9t²:

u = 4 + 9t²

du/dt = 18t

dt = du/(18t)

The limits of integration become:

u(1) = 13

u(∛2) = 49

The integral becomes:

\(\int C x^2/y^{(4/3)} ds\)

= \((1/18) \int (13 to 49) u^{(1/2)} du\)

=\((1/27) (49^{(3/2)} - 13^{(3/2)})\)

So, the value of the line integral is:

\((1/27) (49^{(3/2)} - 13^{(3/2)})\)

≈ 36.724

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