Noir drove from the Dead Sea up to Amman, and her altitude increased at a constant rate. When she began driving her altitude was 400 meters below sea level. When she arrived in Amman 2 hours later, her altitude was 1000 meters above sea level. Let y represent noir’s altitude in meters relative to sea level after x hours.

Answers

Answer 1

Answer:

y(x) = -400 m + (700 m/hr)x

Step-by-step explanation:

Let y = 0 represent sea level.  Noir's initial altitude was -400 m.  In two hours she went from -400 m to +1000 m, a positive change of 1400 m.  Thus, the rate of ascent was m = slope = (change in altitude) / (change in time), or

rate of ascent = 1400/2 m/hr  =  700 m/hr

Thus, an equation describing her altitude relative to sea level after x  hours is

y(x) = -400 m + (700 m/hr)x, where x is the number of hours of driving completed.  This formula correctly predicts the altitude after two hours:

y(2) = -400 m +  (700 m/hr)(2 hr) = 1000 m above sea level.


Related Questions

does anyone know the answer to this? thank you!

Answers

Answer:

[tex] \alpha = \frac{arc \: length}{radius} \\ arc \: length = \alpha \times radius \\ = 50 \times \frac{\pi}{180} \times 7 \\ arc \: length = 350 \times \frac{\pi}{180} \\ = 1.94 \times \pi \\ = 6.1metre \\ thank \: you[/tex]

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Answers

Answer:

d

Step-by-step explanation:

Answer:

D. Step-by-step explanation:

The length of the fence is 12 1/2 feet and the width of the fence is 10 3/4 determine the perimeter

Answers

Answer:

46 1/2 feet

Step-by-step explanation:

Perimeter is defined as 2 × length + 2 × width which is 12.5 × 2 + 10.75 × 2 which works out to 46 1/2 or 46.5 feet which is the answer.

The perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given,

The length of the fence is  [tex]12\frac{1}{2}[/tex] feet

[tex]12\frac{1}{2}[/tex] is changed to improper fraction 25/2

the width of the fence is [tex]10\frac{3}{4}[/tex]

[tex]10\frac{3}{4}[/tex]  is changed to improper fraction 43/4

Now we know that perimeter of rectangle =2(Length+width)

=2(25/2+43/4)

LCM of 2 and 4 is 4

=2(50+43)/4

=93/2

=46.5

Hence the perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.

To learn more on Rectangles click:

https://brainly.com/question/20693059

#SPJ5

(-1, 5) (3,y) m=5 whats the value of my and whats the slope <3

Answers

Answer:

slope: 5

y = 25

Step-by-step explanation:

slope is m, and m = 5, so slope is 5.

y-5=5(x+1)...........set up point slope form

y-5=5x+5............distribute 5

y=5x+10..............add 5 to both sides

y=5(3)+10............plug in 3

y=25.....................simplify

Step-by-step explanation:

I am not sure you posted the question correctly.

m is the slope already. this comes from the point slope form

y - y1 = m(x - x1)

where x1, y1 are the coordinates of a point on the line.

so, the slope is 5 (and cannot be <3).

so, using the first point we get

y - 5 = 5(x - -1) = 5(x + 1) = 5x + 5

therefore

y = 5x + 10

for (3, y) we put 3 in as x

y = 5×3 + 10 = 15 + 10 = 25

it is (3, 25) for m = 5.

Simplify the following expression.

-3m + (-2x) + 4m + 2x

Answers

Answer:

[tex]m[/tex]

Step-by-step explanation:

Combine like terms

[tex]-3m+(-2x)+4m+2x[/tex]

[tex](-3m+4m)+(-2x+2x)[/tex]

[tex](1m)+(0)[/tex]

[tex]m[/tex]

Answer:

m

Step-by-step explanation:

Simplify like-terms first:

-3m + (-2x) + 4m + 2x

m + (-2x) + 2x

Both x's cancel each other out, so you're left with:

m

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Answers

Answer:

um... okie

Step-by-step explanation:

please help easy points

Answers

Answer:

<=3 let me know if its correct or not if it's not I'm so srry in advance if it's right your welcome

Help maths please eeeee

Answers

Answer: row 4 is “14441’’

Step-by-step explanation: so first square is 4 second is 4 and third is 1

Answer:

1  4  6  4  1

Step-by-step explanation:

By summing the 2 numbers above them, as instructed , then

1 + 3 = 4 and 3 + 3 = 6

The row is then

1  4  6  4  1

Consider the line y=-3x+3.
Find the equation of the line that is parallel to this line and passes through the point (-4, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 5).

Equation of parallel line:
ロ=ロ
3
Equation of perpendicular line:

Answers

Answer:

[tex]y= 3x+17; y= -\frac13x +\frac{11}3[/tex]

Step-by-step explanation:

First problem. If you want a parallel to a given line, you keep the slope.

Then we use the point-slope form of a line

[tex]y-y_0=m(x-x_0)[/tex] and we plug in there everything we need.

[tex]y-5=3(x+4) \rightarrow y=3x+12+5\\y=3x+17[/tex]

The second is quite similar. This time we want the perpendicular. It means that the product of the slopes has to be -1.

[tex]3\cdot m = -1 \rightarrow m=-\frac13[/tex]

At this point we have everything, let's replace and write down the line in a better looking form

[tex]y-5=-\frac13(x+4) \rightarrow y= -\frac13 x -\frac43 +5\\y= -\frac13x -\frac43 +\frac{15}3 \rightarrow y= -\frac13x +\frac{11}3[/tex]

Sue has 45 shells in her shell collection. Jared, who just started his collection, has
5 shells. Sue’s collection is how many times larger than Jared’s? I need the equation: and answer

Answers

Answer:

9

step by step:

sue = 45 shells

Jared= 5 shells

therefore 45÷5 =9

Answer:

9 times bigger

Step-by-step explanation:

45/5= 9 times bigger

why?

because "how many times bigger (or larger)"

Sue has 45 shells

and Jared has 5 shells

divide them and u get the answer

Solve the equation for X:
4x2 + 15x = 4

Answers

Answer:

15x=-4

Step-by-step explanation:

The height of a triangle is 8 times it’s base. The area of the triangle is 784 square centimeters. Find the base and height of the triangle

Answers

Let the base be x cm,
Therefore height= 8x cm

Area of triangle = 8x(x) / 2 = 784 cm2
8x^2 = 1568
x = 14

Base = 14 cm
Height = 14x8 = 112 cm

Answer:

b = 14 cm , h = 112 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Given height is 8 times base , then h = 8b and A = 784 , then

[tex]\frac{1}{2}[/tex] × b × 8b = 784

b × 4b = 784

4b² = 784 ( divide both sides by 4 )

b² = 196 ( take square root of both sides )

b = [tex]\sqrt{196}[/tex] = 14

Then base b = 14 cm and height h = 8 × 14 = 112 cm

Write the slope- intercept form of the equation

Answers

y=-3/4x+1

that’s the answer
bye bye


Which of the following functions is graphed below?

Answers

Answer:

The answer is A. For some reason when it goes to the right, it’s a negative and vice versa. Then to go up is just +2

Step-by-step explanation:

Write the following number in expanded form.

176,945,596​

Answers

Answer:

= 176,945,596

Step-by-step explanation:

100,000,000 + 70,000,000 + 6,000,000 + 900,000 + 40,000 + 5,000 + 500 + 90 + 6 = 176,945,596

= 176,945,596

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Blake buys a couch for $1000 and sells it for $1200. Calculate his profit as a percentage of the cost price.

Answers

Answer:

He earned 200 dollars

Step-by-step explanation:

He got a 20% profit.

how far does the object go
2 hours at 75km\h

Answers

Answer:

150 miles per hour

Step-by-step explanation:

Objective: finding the distance

Formula: speed × time =  distance

75 × 2 = 150

final answer: 150 mph

Peter and Pam are both avid swimmers. Last week Pete swam twice as many hours s Pam. Together they swam a total of 18 hours. How many hours did each swim?

Answers

Answer:

Peter swam 12 hours, Pam swam 6

Step-by-step explanation:

Pam = x

Peter = y

y = 2x (this is because Peter swam twice as much)

y + x = 18 (this is because they both swam a total of 18 hours)

2x + x = 18 (substitute for y)

3x = 18

x = 6 (pam)

Now, I just need to substitute x = 6 into original equation.

y = 2(6)

y = 12 (peter)

Answer:

Peter- 12 hours

Pam- 6 hours

Step-by-step explanation:

You can set it up an an equation.

P = Peter

18= P + (P/2)

Solve.

36=2P+p

36=3P

P=12

Peter swam 12 hours.

Then 18-12= 6, Pam's number of hours.

If y varies inversely as (x-3). If y = 5 when x =7 find y when x=5

Answers

Given that y varies inversely as (x-3) .When y is 5 x is 7 . We need to find out the value of y when x is 5 .

According to the Question ,

[tex]\sf\longrightarrow y \propto \dfrac{1}{x-3}\\\\\sf\longrightarrow y =\dfrac{k}{x-3}[/tex]

where k is a constant .

And ,

[tex]\sf\longrightarrow 5 =\dfrac{k}{7}\\[/tex]

[tex]\sf\longrightarrow k = 7*5 \\ [/tex]

[tex]\bf\longrightarrow k = 35[/tex]

Now , when x is 5 ,

[tex]\sf\longrightarrow y = \dfrac{k}{x-3} \\ [/tex]

[tex]\sf\longrightarrow y =\dfrac{35}{5-3}\\ [/tex]

[tex]\sf\longrightarrow y=\dfrac{35}{2}\\ [/tex]

[tex]\sf\longrightarrow \boxed{\red{\sf y = 17.5 }} [/tex]

Arrange the following in ascending order b) 3.14, 31.4, 0.314, 3 2/4, 3.141
c) 2.0867, 0.28677, 28.067, 0.2867, 2.867

Answers

Step-by-step explanation:

b) 3.14, 31.4, 0.314, 3 2/4, 3.141

3.14, 31.4, 0.314, 3.5, 3.141

0.314, 3.14, 3.141, 3.5, 31.4

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Perform the indicated operation and express the result as a simplified complex number in the form a+bi. Do not put any spaces between your characters. If your answer includes a number that is not an integer type it as a decimal rounded to the nearest hundredth.
(3+4i)/(2-i)
simplifies to a+bi where:

A=

B=

Answers

9514 1404 393

Answer:

  0.40+2.20i

Step-by-step explanation:

To clear the denominator of its imaginary part, multiply numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{3+4i}{2-i}=\dfrac{(3+4i)(2+i)}{(2-i)(2+i)}=\dfrac{6-4+3i+8i}{4+1}=\dfrac{2+11i}{5}\\\\=\boxed{0.40+2.2i}[/tex]

_____

Additional comment

This "multiply by the conjugate" is also used to clear radicals from the denominator. It takes advantage of the factoring of the difference of squares:

  (a -b)(a +b) = a² -b²

whT is the largest interger less then or equal to 30?

Answers

Answer:

30

Step-by-step explanation:

since it can be equal to 30 that means the answer is 30

Answer:

30

Step-by-step explanation:

if the interger can be equal to 30, it can be 30

can somebody help like rn

Answers

Answer:

4

Step-by-step explanation:

(25-18+5)/4=4

(insert the variables)

how do u add and subtract rational numbers

Answers

Answer:

ration number such as 2 and 3

2 plus 3 is 5

3 minus 2 is 1

3 by 5 plus 2 by 5 is 5 by 5 which is 1

3 by 5 plus 2 by 4 take lcm and add the numerator .

Find the value for x
15 points for you plus brainliest, 5 star and thanks on answer and profile

Answers

Answer:

117 units

Step-by-step explanation:

The ratio of boys to girls in a class is 3:5. There are 40 students in class.How many students are boys?

Answers

Answer:

1. 40/8 = 5

2. 3x5 : 5x5

3. 15:25

There are 15 boys to 25 girls in the class

Step-by-step explanation:

A butcher makes meatloaf by mixing hamburger which sells for a $1.89/lb and sausage which sells for $2.99/lb how many pounds of each should be used if he makes 30 lb of mix and sell it for $2.33/lb

Answers

Answer:

12 and 18

Step-by-step explanation:

Sam and Andre shared a number of pennies in the ratio 8:3. They received a total of 671 pennies. How many more pennies did Sam receive than Andre?

Answers

Answer:

Sam had 488

Andre had 183

488:183

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HI!!! IKL GIVE U BRAINLIEST IF U CAN HELP ME!

Answers

Help with what there is no picture attached

Plz help me with this one

Answers

Answer:

5/6

Step-by-step explanation:

-5x-3=-9

Add 3 to both sides.

-5x=-6

Divide both sides by -5.

x=5/6

-5x - 3 = -9
+3 +3
———————-
-5x = -6
—— ——
-5 -5

x = 1.2

x = 6/5
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