wo mountain climbers start their climb at base camp, taking two different routes, one steeper than the other, and arrive at the peak at exactly the same time. Is it necessarily true that, at some point, both climbers increased in altitude at the same rate

Answers

Answer 1

Answer:

It is necessarily true necessary to increase the altitude at same rate

Step-by-step explanation:

According to questions the time take by both the climbers is same where as their distance traveled and velocity is different

Let time taken to complete the journey for both the climbers= t

therefore t = [tex]\frac{d_1}{v_1} = \frac{d_2}{v_2}[/tex]  where

[tex]d_1[/tex] and [tex]d_2[/tex] is the distance traveled by climbers

[tex]v_1[/tex] and [tex]v_2[/tex] is the respective velocity of climbers

So, it is necessarily true necessary to increase the altitude at same rate as the time taken depends on the ratio of their respective altitude with velocity

Answer 2

The two climbers arrived at the top of the mountain at the same time hence both climbers increased in altitude at the same rate.

Mountain climbers are people who ascend mountains. Usually, mountain climbers use steep routes. The altitude covered depends on the rate at which the altitude is increased.

Since the two climbers arrived at the top of the mountain at the same time, it then follows that both climbers increased in altitude at the same rate.

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Related Questions

Dayton writes the expression n2+4n+1 for the number of squares used to make the nth figure in the pattern shown. Drag statements to the table to explain what each term in his expression tells you about the figure. Math item stem image CLEAR CHECK Term What this term tells you about the figure n2 4n 1

Answers

well that took alot of guesses...

solve ASAP for brain list and correctness ​

Answers

Answer: p = 1

Step-by-step explanation:

2/5 + p = 4/5 + 3/5p

-2/5        -2/5

      p = 2/5 + 3/5p

-3/5p            -3/5p

2/5p = 2/5

Divide both sides by 2/5

p = 1

Factor 64x2 – 80xy + 25y2 using the binomial theorem.
The binomial that was expanded is .
The exponent on the factored expression is .

Answers

Answer:

Step-by-step explanation:

Write the expression two-cubed times seven as a numerical expression

Answers

Answer:

2^3x7

your welcome

Answer:

23× 7

Step-by-step explanation:

have a wonderful day!!! :) :)

Solve working backwards with the distributive property. 7(7) - 7(2) =

Answers

Answer:

35

Step-by-step explanation:

(7x7=49) (7x2=14)

then you do

49-14= 35

Find the slope of the line that passes through each pair of points. (-3, 1 )and (-17, 2)​

Answers

Answer:

1/-14 or 1 over - 14

Step-by-step explanation:

The equation you need is: y2-y1  over x2-x1

So if you plug it in it becomes 2-1 over -17 -(-3) so 2 - 1 is 1 that's the easy part, 17 - (-3) is the hard part because you can't minus a negative. So it becomes -17+3 which is still -14 because you take the sign of the bigger number. Sorry if it's hard to understand :(

PLEASE HELP!!!!!!!!!!

Answers

Given:

The graph of an exponential function.

To find:

The function in the form of [tex]f(x)=ab^x[/tex].

Solution:

The general form of an exponential function is

[tex]f(x)=ab^x[/tex]                ...(i)

From the given graph it is clear that the function passes through the points (0,4) and (1,7). It means these points will satisfy the function.

For x=0 and f(x)=4,

[tex]4=ab^0[/tex]

[tex]4=a(1)[/tex]

[tex]4=a[/tex]

For x=1 and f(x)=7,

[tex]7=ab^1[/tex]

Putting a=4, we get

[tex]7=4(b)[/tex]

[tex]\dfrac{7}{4}=b[/tex]

Substitute a=4 and [tex]b=\dfrac{7}{4}[/tex] in (i).

[tex]f(x)=4\left(\dfrac{7}{4}\right)^x[/tex]

Therefore, the required exponential function is [tex]f(x)=4\left(\dfrac{7}{4}\right)^x[/tex].

The ratio of the corresponding parts of these pentagons is 2:3. What is the value of x?

Answers

Answer:

I'm not entirely sure if this is correct.

Step-by-step explanation:

[tex] \frac{2}{3} = \frac{30}{x} \\ 2x = 3(30) \\ \frac{2x}{2} = \frac{90}{2} \\ x = 45[/tex]

Find the GCF of 21m∧5n∧2 and 28m∧4n∧2.

Answers

Answer:21m, 5n, 2=1

28m, 4n, 2=2

Step-by-step explanation:

Which of these is equal to 4 (−)4
A.()4 B.(−)4 .−()4 D. (−)4

Answers

Answer:

(a) [tex]x^4 * (-y)^4 = (xy)^4[/tex]

Step-by-step explanation:

Given

[tex]x^4 * (-y)^4[/tex]

Required

Select and equivalent expression

[tex]A.\ (xy)^4[/tex]     [tex]B.\ (-xy)^4[/tex]   [tex]C.\ -(xy)^4[/tex]    [tex]D.\ (x-y)^4[/tex]

[tex]x^4 * (-y)^4[/tex]

Apply law of indices:

[tex]x^4 * (-y)^4 =x^4 * (-y) * (-y) * (-y) * (-y)[/tex]

This gives:

[tex]x^4 * (-y)^4 = x^4 * (y) * (y) * (y) * (y)[/tex]

[tex]x^4 * (-y)^4 =x^4 * y^4[/tex]

x and y have the same exponent; So, they can be expressed as:

[tex]x^4 * (-y)^4 = (x*y)^4[/tex]

[tex]x^4 * (-y)^4 = (xy)^4[/tex]

PLEASE HELP I NEED THIS TO COMPLETE MY CLASS

Answers

The answer is B because if the side is 4 and its half that then just take half of 4 which is 2

Suppose you are testing two fertilizers on bamboo plants A and B, which are growing under identical conditions. Plant A is 6 cm tall and growing at a rate of 4 cm per day. Plant B is 10 cm tall and growing at a rate of 2 cm per day.​

Answers

Answer:

2 days

Step-by-step explanation:

Step one:

let the number of days be x

and the total height be y

​Plant A is 6 cm tall and growing at a rate of 4 cm per day.

the total height is

y=6+4x------------1

Plant B is 10 cm tall and growing at a rate of 2 cm per day.​

y=10+2x-----------2

Required

time taken for both plants to have the same height

Step two:

equate the two equations to find when the plants will have the same height

6+4x=10+2x

collect like terms

4x-2x=10-6

2x= 4

divide both sides by 2

x= 4/2

x= 2 days

Question 4 of 5
Which fraction is equal to 45%?
A.
4.5
100
O
B.
100
45
45
100
Ο Ο
D.
100
450
SUBMIT

Answers

Percent means per 100, so 45% would be 45 out of 100, which written as a fraction would be 45/100

The answer would be C.

Choose an equivalent ratio. 5:7

A) 7:9
B) 10:14
C) 14:15
D) 15:23

Answers

Answer:

B

Step-by-step explanation:

5:7

5×2 = 10

7×2 = 14

10:14 = 5:7

B, because when you multiply 5:7 by 2, you would get 10:14.

Can someone please help me out!!?

Answers

Answer:

x = 7

Step-by-step explanation:

[tex]\frac{10}{8} = \frac{3x-6}{12}[/tex] --> Triangle Similarity Theorem

120 = 8(3x - 6) --> Cross Multiplying

120 = 24x - 48 --> Distributing the 8

24x - 48 + 48 = 120 + 48 --> Adding 48 on both sides

24x = 168 --> Simplifying

24x/24 = 168/24 --> Divide 24 on both sides

x = 7 --> Simplifying

Hope this helped! <3

Solve the system of linear equations by substitution.
6x – 9=y
y=-3.7

Answers

Answer:

x=0.88

y= -3.7

Step-by-step explanation:

-3.7=6x-9

5.3=6x

0.88=x

HELPPPPPP PLEASEEEEWE ILL GIVE YOU 30 points!!!!! I have 4 minutes pleaseeee

Answers

The correct answer should be b

Find the equation for the circle with center (3,−5) and diameter of length 8.

Answers

Answer:

(x-3)² + (y+5)² = 16

Step-by-step explanation:

Radius will be half of diameter means that radius = r = 8/2 = 4.

With Center (h,k) the equation of circle is

(x-h)² + (y-k)² = r²

so by putting values answer will be

(x-3)² + (y+5)² = 4²

(x-3)² + (y+5)² = 16

You are filling a 2-liter bottle with liquid from full 80-milliliter containers. How many containers will it take to fill the 2-liter bottle?

Answers

Answer:

25 bottles

Step-by-step explanation:

2 litres=2000 milliliters

2000/80=25 (or) 80x25=2000

The amount of containers it will take to fill the 2-liter bottle is 25 containers.

Given the following data:

Volume of bottle = 2 LitersVolume of containers = 80 milliliter

To determine the amount of containers it will take to fill the 2-liter bottle:

In this exercise, you're required to determine the amount of 80-milliliter containers that would be required to fill the 2-liter bottle.

First of all, we would convert the volume in liters to milliliter.

Conversion:

1 Liter = 1000 millimeters

2 Liter = 2000 millimeters

Now, we can find the amount of containers by using the formula:

[tex]Number\;of\;containers = \frac{Volume \;of\;bottle}{Volume \;of\;containers}[/tex]

Substituting the parameters into the formula, we have;

[tex]Number\;of\;containers = \frac{2000}{80}[/tex]

Number of containers = 25 containers

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can someone please answer these and explain how you did it


2x - 7 = 11

7x + 1 = 22

3x - 8 = 22

8x +5 = 45

Answers

2x-7 = 11

7 goes to the other side

2x=11+7

2x = 18

x=18/2

x=9

7x + 1 = 22

1 goes to the other side

7x=22 - 1

7x=21

x=3

3x - 8 = 22

8 goes to the other side

3x = 22+8

3x=30

x=10

8x+5 = 45

5 goes to the other side

8x=40

x=40/8

x=5

what is the gcf of 8x³ and 6x²

Answers

Answer:

The GCF is 2²

Step-by-step explanation:

The factored expression would be 2²(4x+3) .

6/n = 9/24 n=?
I need help, please show steps.....

Answers

Answer:

n=16

Step-by-step explanation:

6n=9246n=924 nn

Write the problem as a mathematical expression.

6n=9246n=924 nn

Cancel the common factor of 99 and 2424.

Factor 33 out of 99.

6n=3(3)246n=3(3)24

Cancel the common

Factor 33 out of 2424.

6n=3⋅33⋅86n=3⋅33⋅8

Cancel the common factor.

6n=3⋅33⋅86n=3⋅33⋅8

Rewrite the expression.

6n=386n=38

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

6⋅8=n⋅36⋅8=n⋅3

Solve the equation for nn.

Rewrite the equation as n⋅3=6⋅8n⋅3=6⋅8.

n⋅3=6⋅8n⋅3=6⋅8

Multiply 66 by 88.

n⋅3=48n⋅3=48

Divide each term by 33 and simplify.

Divide each term in n⋅3=48n⋅3=48 by 33.

n⋅33=483n⋅33=483

Cancel the common factor of 33.

Cancel the common factor.

n⋅33=48

Is this a function? Explain with full sentence!
[(3,2) (4,2) (5,2) (3,2)]

Answers

Answer:

yes

Step-by-step explanation:

so i was doing some serching online and i typed what does a function mean and this wat came up an activity or purpose natural to or intended for a person or thing. so as i was thinking this answer fits the description on what i was given from the internet

You need to lower your debt to credit limit ratio by $1,000. Your current limit is $1,400. $1,000 is what percent of your credit limit?

Answers

Answer:

1,000 of 1,400 is 71.43%

At a dog park,there are12 golden retrievers and 20 poodles.what are the ratio of retrievers to poodles?

Answers

Answer:

[tex]12:20[/tex]

Step-by-step explanation:

1/2(3x -2/3y) + 3(x/2 + 1/2y)

Answers

Simplify the expression.

18x + 7y/6

help i’m stuck i’ll give brainliest

Answers

scale factor helps you properly scale down a figure so that way they would be similar, therefore ‘similar figures’ and then the sides of the figures would be proportional

Maria is making cookies that require 4/3 cups of flour. She has 1 2/3 cups of flour. How much sugar will she have left after making the cookies?

Answers

Answer:

1/3

Step-by-step explanation:

4/3=1 1/3

1  2/3 - 1 1/3= 1/3

Hope this helps!

The Molina family went to a concert together. They purchased 4 concert tickets for $25 each, 3T -shirts for $15 each, and a poster for $10.Write an expression for the total cost. Then find the total cost.

Answers

Answer:

155

Step-by-step explanation:

( 25 x 4 ) + ( 3 x 15 ) + 10 = 155

The area of a rectangle is represented by the polynomial x^2+3x-6x-18. What are the length, width, and area of the rectangle if x=12?

Answers

Answer:

Length = 15

Width = 6

Area = 90

Step-by-step explanation:

Area of the rectangle = [tex] {x}^{2} + 3x - 6x - 18[/tex]

Lets factorise the polynomial

[tex] = > x(x + 3) - 6(x + 3)[/tex]

[tex] = > (x + 3)(x - 6)[/tex]

We know that Area = Length × Width

Let the length be (x + 3) & width be (x - 6)

Its given in the question that x = 12. So putting the value of x gives ,

Length = [tex]x + 3 = 12 + 3 = 15[/tex]

Width = [tex]x - 6 = 12 - 6 = 6[/tex]

Area = Length × Width = 15 × 6 = 90

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