An airplane takes 5 hours to travel a distance of 3400 kilometers against the wind. The return trip takes 4 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind?

Answer:

-3/2

Step-by-step explanation:

choose an x variable with it's corresponding y variable from the table.

for example -4, 19

then choose another one,

for example 0, 13

-4 will be the x1 and 19 will be y1 (-4=x1) (19=y1)

the second pair,

0 will be x2 and 13 will be y2 (0=x2) (13=y2)

then you need to subtract y1 from y2:       13 - 19 = (-6)

then you need to subtract x1 from x2:       0 - (-4) = 4

now you have y = (-6)

and x = 4

and since rise over run, aka y = rise, x = run, you put y over x. (divide)

y/x   -6/4  simplify = -3/2

Answer:

Website a is cheaper by 29 cents

Step-by-step explanation:

The area of triangle ABD = x² * √3 / 2 and The area of triangle BCD =       y * √(5x² + 4y² - 2xy√5)

To find the area of triangle ABD, we can use the formula for the area of a triangle: Area = (1/2) * base * height

In triangle ABD, the base is AD and the height is the perpendicular distance from point B to line AD. Since AB : AD = 1 : 2, we can let AB = x and AD = 2x.

Now, we can use the Law of Cosines to find the length of side BD. In triangle ABD, we have:

BD² = AB² + AD² - 2 * AB * AD * cos(∠BAD)

BD² = x² + (2x)² - 2 * x * (2x) * cos(120°)

Simplifying the equation:

BD² = x² + 4x² - 4x² * (-1/2)

BD² = 5x²

Taking the square root of both sides:

BD = √(5x²) = x√5

Since BE : ED = 3 : 4, we can let BE = 3y and ED = 4y.

Now, we can find the length of side BC. In triangle BCD, we have:

BC² = BD² + CD² - 2 * BD * CD * cos(∠BCD)

BC² = (x√5)² + (2y)² - 2 * (x√5) * (2y) * cos(∠BCD)

BC² = 5x² + 4y² - 4xy√5 * cos(∠BCD)

Since the quadrilateral ABCD is inscribed in a circle, ∠BCD = 180° - ∠BAD = 60°.

BC² = 5x² + 4y² - 4xy√5 * cos(60°)

BC² = 5x² + 4y² - 4xy√5 * (1/2)

BC² = 5x² + 4y² - 2xy√5

The area of triangle ABD is given by:

Area ABD = (1/2) * AB * AD * sin(∠BAD)

Area ABD = (1/2) * x * 2x * sin(120°)

Area ABD = x² * √3 / 2

The area of triangle BCD is given by:

Area BCD = (1/2) * BC * CD * sin(∠BCD)

Area BCD = (1/2) * √(5x² + 4y² - 2xy√5) * 2y * sin(60°)

Area BCD = y * √(5x² + 4y² - 2xy√5)

Further calculations require numerical values for x and y to obtain specific areas.

For more such questions on area of triangle

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Answer:

[tex] \longmapsto\frac{ |2a| - b }{3} \\ = \frac{ 2|a| - b }{3} \\ = \frac{2 |7| - ( - 4) }{3} \\ = \frac{2(7) + 4}{3} \\ = \frac{14 + 4}{3} \\ = \frac{18}{3} \\ = \boxed6[/tex]

Answer:

[tex]y=\frac{7}{2} x -8[/tex]

Step-by-step explanation:

We are given that a line contains these 2 points: (4,6) and (0,-8), in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept

First, we need to find the slope of the line

The slope can be calculated using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Even though we have 2 points, let's label their values to avoid any confusion and mistakes when calculating:

[tex]x_1=4\\y_1=6\\x_2=0\\y_2=-8[/tex]

Now substitute into the formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-8-6}{0-4}[/tex]

Subtract

m=[tex]\frac{-14}{-4}[/tex]

Divide

m=[tex]\frac{7}{2}[/tex]

The slope is 7/2

Here is the equation of the line so far:

[tex]y=\frac{7}{2}x + b[/tex]

We now need to find b

As the equation passes through (4,6) and (0,-8), we can use either one of them to help solve for b.

Taking (4,6) for instance:

[tex]6=\frac{7}{2}(4) + b[/tex]

Multiply

[tex]6=14 + b[/tex]

Subtract

-8 = b

The equation therefore is:

[tex]y=\frac{7}{2} x -8[/tex]

Topic: slope-intercept form

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Answer:

D

do you rlly need an explanation?

Answer:

b-16/25

Step-by-step explanation:

cause 0.64 would be 64/100 but I can be simplified down to 32/50 but that also could be simplified down to 16/25 which would be your answer because it can not be simplified any more

Answer:0

Step-by-step explanation:

The sum of a convergent geometric series can be calculated with the formula a ⁄ 1 – r, where “a” is the first term in the series and “r” is the number getting raised to a power. A geometric series converges if the r-value (i.e. the number getting raised to a power) is between -1 and 1. So the answer is 0

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Answer:

27+n,\frac{n}{5}

5

n

,\sqrt{n+144}

n+144

Step-by-step explanation:

27+n,\frac{n}{5}

5

n

,\sqrt{n+144}

n+144

Answer:

for the first one it's 36

for the second its 13

Answer:

Am how should we answer this

Using the principle of direct variation, the solution to the problem given are :

Given the Parameters :

Distance = d

Amount of time = t

d α t ; d = kt

We can find k = constant of proportionality = speed of travel ;

d = 10 miles ; t = 2 hours

10 = 2k

k = 10/2

k = 5

Hence, speed = 5 miles per hour

B.) The direct linear variation expression becomes ;

d = 5t

C.) Distance traveled in 3 hours :

t = 3 hours

d = 5t

d = 5(3) = 15 miles

D. Time taken to travel a distance of 20 miles

d = 5t

20 = 5t

t = 20/5

t = 4 hours

Therefore, it will take 4 hours to travel a distance of 20 miles.

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Answer:

40 cm

Step-by-step explanation:

Similar polygons will have proportional side lengths. So, let's check each of these using proportions and cross-multiplying.

Proportion: left rectangle length / left rectangle width = right rectangle length / right rectangle width

Top Left Rectangles: Proportional

6.4 / 5.6 = 1.6 / 1.4

8.96 = 8.96

Top Right Rectangles: Not Proportional

10.2 / 6.2 = 5.2 / 1.2

32.24 does not equal 12.24

Bottom Left Rectangles: Proportional

39 / 27 = 13 / 9

351 = 351

Bottom Right Rectangles: Not Proportional

64 / 36 = 8 / 6

288 does not equal 384

Hope this helps!! :)

Answer:4) 1.  (3^4)^3=3^12    ,

                  2.(-10^3)^6=-10^18  others are similar...

              5) 1.  (2^7/2^5)=2^2,4  ,

                  2.(a^7/a^3)=a^4   ,

                  7.  [(-4)^3 x (-4)^5)]/[ (-4)^2 x(-4)^3]=4^3   others are similar...

Step-by-step explanation: 4)1. step1. 3^(4x3) ,  2. step1. -10^(3x6)

                                                    step2. 3^12      ,     step2. -10^18

                                              5)1. step1. 2^(7-5)  ,  2. step1. a^(7-3)

                                                     step2. 2^(2)     ,      step2. a^(4)

                                                 7. step1. -4^(3+5)/-4^(2+3)

                                                     step2. -4^(8)/-4^(5)

                                                     step3. 4^(8-5)

                                                     step4. 4^(3)

Answer:

Step-by-step explanation:

n;

Convection; Radiation; Insulation.

PLTS/Gatsby:

Effective participants;

Independent Enquirers.

Compare group 1, 7 and 8 elements.

The BIG question

is… What is the trend in reactivity in the alkali metals, halogens and noble gases

sSHUTSHHHHHHHHHHHHHHUTUPPPPPPPPPPPPP

Answer:

153, 155, 93, 31, 78, 125, 150, 87, 157, 118, 67

Answer:

1/6 is the probability.

There are only 2 out of 12 options that have a 2 at the one's place(2/12), which can be simplified into 1/6

Answer:

A 5-pound roast would take about 187.5 minutes to cook.

Divide 150 minutes by 4 pounds and you get 37.5 minutes. This would be how long it takes to cook each pound. So, you multiply 5 pounds by 37.5 and you get 187.5 minutes for a 5-pound roast to cook.

Answer:

1st,2nd,4th,

Step-by-step explanation:

You have to divide the price by the numbers of items!

Answer:

It's A,B,D

Hence, 1 tote bag, 1 picture frame and 1 mug cost under $2.25.

Step-by-step explanation:

Answer:

8)61.5 9)42.1

Step-by-step explanation:

8)61.5

area of square 10×10=100

circle=pie r^2

3.5^2×pie

=38.5

100-38.5=61.5

9)14×14=196

14/2=7

7=radius

pie×7^2

=153.9/2(because circle is half)

=76.95

76.95×2

=153.9

=196-153.9

42.1

MARK IT BRAINLIEST

Answer:

30,012.5

Step-by-step explanation:

We power the number by itself for the past years so in this it will be 3.5  powered by itself four times equaling 150.0625 multiplied by the first deposit which is 200 so 200*150.0625= 30,012.5

Hope this helps

Answer:

3.

A = 11

B = -4

C = 7

D = 27

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

first we work out product of set b

6(m-4) = 6m -24

then reshow

-28+6m = 6m-24-4

-28 +6m -6m = 24-4

-28 =28

= 0

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

Yes, the above statement is True.

Answer:true

Step-by-step explanation:

Answer:

9 / 12

Step-by-step explanation:

2 / 4

= ( 2 / 4 ) x ( 3 / 3 )

= ( 2 x 3 ) / ( 4 x 3 )

= 6 / 12

3 / 12 + 2 / 4

= 3 / 12 + 6 / 12

= ( 3 + 6 ) / 12

= 9 / 12

Step-by-step explanation:

[tex] \bf \underline{Given-} \\ [/tex]

[tex] \leadsto \: \sf{ \frac{3}{12} \: and \: \frac{2}{4} } \\ [/tex]

[tex] \bf \underline{To \: find-} \\ [/tex]

[tex]\textsf{between there sum = ?}\\[/tex]

[tex] \bf \underline{Solution-} \\ [/tex]

[tex] \leadsto \: \sf{ \frac{3}{12} \: and \: \frac{2}{4} } \\ [/tex]

[tex] \leadsto \: \sf{ \frac{3}{12} \: + \: \frac{2}{4} } \\ [/tex]

Process how to find LCM of 4 and 12↓

[tex] \sf{\mathsf{\begin{array}{r | l} \underline2& \underline4 \: \underline {12 } \\\underline 2&\underline2 \:\underline 6 \\\underline3&\underline1 \: \underline3 \\ &\underline1 \: \underline1 \\ \end{array}} }\\ [/tex]

[tex] \sf{ LCM} = 2 \times 2 \times 3 \\ = 4 \times 3 \\ = 12 \\ [/tex]

[tex] \sf \leadsto{ \: \frac{3 + 6}{12} } \\ [/tex]

[tex] \sf \leadsto{ \: \frac{9}{12} } \\ [/tex]

[tex] \boxed{ \bf \leadsto{ \: \ \frac{3 }{4} }} \\ [/tex]

Therefore, the sum of 3/12 and 2/4 is 3/4.

with the exception of perfect squares, all square root of whole numbers are irrational, e.g. √5

how about this one:

2.34334333433334.... I am increasing the number of 3s each time, thus

creating a decimal which never ends and never repeats.

or

12.3456789101112131415.... can you see what I am doing?

will it ever end? will it ever repeat?

Answer:

45=w answer

Step-by-step explanation:

Here's what we know:

P = 2L + 2w

L = 3w + 3 (length is 3 yards more than 3 times the length)

P = 366

We have a value for length and perimeter, so plug them in:

366 = 2(3w + 3) + 2w

366 = 6w + 6 + 2w

366 = 8w + 6

360 = 8w

45 = w

Answer:

C

Step-by-step explanation:

Hamburger = Hotdog x 2

3(Hamburger) + 2(Hotdog) = 21

Now replace with x (Hotdog) and y (Hamburger)

y = 2x

3y + 2x = 21

The correct graph is the one on the bottom right corner.

Good luck !! :)

Answer:

0.75*(x)*(y)

Step-by-step explanation:

Answer:15

Step-by-step explanation: use a calculator