A rock climber is descending down a 500-foot tall cliff. After 8 minutes, the rock climber
has descended to a height of 280 feet. Find the height as a linear function of time

Answers

Answer 1

We have that The height as a linear function of time is

[tex]x=-27.5T+500[/tex]

From the Question we are told that

Time t=8 minutes

Height h=500

Descended height h_d= 280 feet.

Generally the equation for the linear function  is mathematically given as

Let

Height as a linear function =x

[tex]x=\frac{h_d-h}{t}*T+h[/tex]

[tex]x=\frac{280-500}{8}*T+500[/tex]

[tex]x=-27.5T+500[/tex]

In conclusion

The height as a linear function of time is

[tex]x=-27.5T+500[/tex]

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Related Questions

what is 9 subtracted from x

Answers

Answer:

x - 9

Step-by-step explanation:

Answer:

bguiyhvulcvougtjglctvtgulvugtfvufygbgl

Step-by-step explanation:

Solve for r.
-5 - 9r = -14 - 18r
Submit

Answers

Answer:-1

Step-by-step explanation:

Answer:
R= -1

Explanation:

1) Distribute if needed
2) Clear fractions if needed
3) Combine like terms if needed
4) Move variables to one side by using inverse operation
5) Isolate the variable by using add/subtraction then multiply/divide

-9r-5= -18r-14
+18r +18r
———————
9r-5 = -14
+5 +5
———————
9r= -9

9r = -9
— —
9 9
-9/9= -1

x² - xy = 0
x + y = 1

Answers

Answer:

(0, 1 ) and ([tex]\frac{1}{2}[/tex], [tex]\frac{1}{2}[/tex] )

Step-by-step explanation:

Given the 2 equations

x³ - xy = 0 → (1)

x + y = 1  → (2) ( subtract x from both sides )

y = 1 - x → (3)

Substitute y = 1 - x into (1)

x² - x(1 - x) = 0

x² - x + x² = 0

2x² - x = 0 ← factor out x from each term on the left side

x(2x - 1) = 0

Equate each factor to zero and solve for x

x = 0

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

Substitute these values into (3) for corresponding values of y

x = 0 : y = 1 - 0 = 1 ⇒ (0, 1 )

x = [tex]\frac{1}{2}[/tex] : y = 1 - [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex] ⇒ ( [tex]\frac{1}{2}[/tex], [tex]\frac{1}{2}[/tex] )

A sample is taken from all students in the art department. Students who wear
glasses are excluded. What is this an example of?
A. Selection bias
B. Nonselection bias
C. Nonresponse bias
D. Response bias
SUBMIT

Answers

Answer:

A. Selection Bias

Step-by-step explanation:

Selection bias is the bias introduced by the selection of individuals, groups, or data for analysis in such a way that proper randomization is not achieved, thereby ensuring that the sample obtained is not representative of the population intended to be analyzed. This is represented by choosing the students without glasses.

Answer:

selection bias

Step-by-step explanation:

i got it right

find the two number whose A.M is 5 and G.M is 4​

Answers

Answer:

2 and 8

Step-by-step explanation:

let the numbers be x and y , then

[tex]\frac{x+y}{2}[/tex] = 5 ( multiply both sides by 2 ) ← AM

x + y = 10 → (1)

[tex]\sqrt{xy}[/tex] = 4 ( square both sides ) ← GM

xy = 16 → (2)

From (1) , expressing x in terms of y

x = 10 - y ← substitute into (2)

(10 - y)y = 16

10y - y² = 16 ( subtract 16 from both sides )

10y - y² - 16 = 0 ( multiply through by - 1 )

y² - 10y + 16 = 0 ← in standard form

(y - 2)(y - 8) = 0 ← in factored form

Equate each factor to zero and solve for y

y - 2 = 0 ⇒ y = 2

y - 8 = 0 ⇒ y = 8

Substitute into (1)

x + 2 = 10 ⇒ x = 8 or x + 8 = 10 ⇒ x = 2

The 2 numbers are 2 and 8

A triangle has side lengths of 2x , x + 4, and 3 (x + 3). Find the value of x if the perimeter of the triangle is 55 inches.​

Answers

Answer:

x=7

Step-by-step explanation:

55=2x+(x+4)+[3(x+3)]

55=2x+x+4+3x+9

55=6x+13

55-13=6x

42=6x

7=x

Answer:

7 inches

Step-by-step explanation:

Perimeter is the sum of side lengths:

P = 2x + x + 4 + 3(x + 3)P = 55

Solve for x:

2x + x + 4 + 3(x + 3) = 553x + 4 + 3x + 9 = 556x + 13 = 556x = 55 - 136x = 42x = 42/6x = 7

Does #7 look right? Im struggling on this

Answers

yes that looks correct

a number set consists of {4,5,6,7}。How many 2-digit combinations of numbers from the data set can be divided by 3?

Answers

Answer:

5

Step-by-step explanation:

This trick works with 3:

If the sum of the digits of a number is divisble by 3 then the number is divisble by 3.

44 is not divisble by 3 because 4+4=8 is not divisble by 3.

45 is divisble by 3 because 4+5=9 is divisble by 3.

46 is not divisble by 3 because 4+6=10 is not divisble by 3.

47 is not divisble by 3 because 4+7=11 is not divisble by 3.

54 is divisble by 3 because 5+4=9 is divisble by 3.

55 is not divisble by 3 because 5+5=10 is not divisble by 3.

56 is not divisble by 3 because 5+6=11 is not divisble by 3.

57 is divisble by 3 because 5+7=12 is divisble by 3.

64, 65,67 are not divisble by 3 because their digits' sums are 10,11, and 13 respectively. 66 is a winner because 6+6=12 is divisble by 3.

Finally 7...

74,76,77 are not divisble by 3 because their digits' sums are 11,13, and 14 respectively. 75 is divisble by 3 because 7+5=12 is divisble by 3.

The victors are

45

54

57

66

75

Please help me with this question, and show working out.

Answers

Answer:   2072.4 square cm

===============================================================

Explanation:

If you used scissors to cut a vertical slice down the lampshade, then it can be unrolled to form a rectangle.

The horizontal portion of this rectangle is the distance around the circle, which is the perimeter of the circle, or the circumference. That's C = 2pi*r. Check out the diagram below to see what I mean.

The diagram shows that the diameter is 20 cm, so the radius is half that at 20/2 = 10 cm.

The circumference is C = 2*pi*r = 2*pi*10 = 20pi cm exactly

The height of the rectangle is the height of the cylinder, which is h = 30 as shown in the diagram.

The area of the rectangle is length*height = (20pi)*(30) = 600pi square cm exactly.

If we were to use something like pi = 3.14, then its approximate area is 600*pi = 600*3.14 = 1884 square cm

Let's bump this up by 10%. To do so, we'll multiply by 1.10

1.10*1884 = 2072.4

You deposit $300 into a savings account that is compounded annually. The function g(x) = 300(1.04)x can be used to find the amount of money in the savings account after x years. What is the constant percent rate of change?

Answers

Answer:

This is a simple interest, as the amount earned each year is constant

Step-by-step explanation:

Using compound interest, it is found that the constant percent rate of change is of 4%.

--------------------

The formula for an amount of money invested into compound interest is given by:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which:

A(t) is the amount after t years.A(0) is the initial amount.r is the constant percent rate of change.t is the time.

--------------------

The function is:

[tex]g(x) = 300(1.04)^x[/tex]

Thus, for the constant percent rate of change:

[tex]1 + r = 1.04[/tex]

[tex]r = 1.04 - 1 = 0.04[/tex]

[tex]0.04 \times 100\% = 4\%[/tex]

The constant percent rate of change is of 4%.

A similar problem is given at https://brainly.com/question/3044643

Baseball is a field of dreams

Answers

Answer:

the answer is b

Step-by-step explanation:

i did this alrdy

Can Anyone answer the (i) and (ii) Question? I will mark you as Brainlist ☺️.​

Answers

Hope this helps ☺️

(ii) (x+y) times by 1/2
(iv) (p(times by)q) times by 1/4

what will be the decimal expansion of irrational number??​

Answers

Answer:

the decimal expansion of an irrational number will be non terminating and non recurring

El secreto de Daniel es un número par menor que 10 pero mayor que 6 cuál es este número misterioso

Answers

Answer:

hbjzX cjlhzBiuwHEHFIU

Step-by-step explanation:

ISDUABLDKJHSABJHSDFABVHBFDAPIUVFHEPIUAHOIsdcasdkjbvihdfabihabydsih

Seth bought a 12 ounce jar of peanut butter for 3.60 what is the unit price

Answers

Answer:

12 ÷ 3.60 = 3.33¢

Step-by-step explanation:

$3.33 per ounce

I need help with Shape equation puzzle 2 it’s due tomorrow

Answers

Hey there! I'm happy to help!

First of all, I would guide you to decipher clue 2 first. It is the only one that has just one shape, so then we can find the value of that shape.

To find what this circle is, we just divide 12 by three to see what 3 times the circle is!

12÷3=4

CIRCLE=4

-----------------------------------------------------------------

Now, let's look at clue one. This one only has two shapes, and it has the circle, which we already know.

We know that our circle is 4, so 5 circles will be 20.

This means that the diamond plus two will be 20, so let's just subtract 2 from 20!

20-2=18

DIAMOND=18

-----------------------------------------------------------------

Finally, let's look at the third one. This one is the trickiest. Two circles is eight, and that is going to be equal to our diamond (eighteen) and two triangles.

How is that going to work?

The triangles make us go backwards! Otherwise known as negative numbers!

To get from eighteen to eight, we have to go back ten. Ten is going to be made up of two triangles, so we just divide ten by two so each triangle gets an equal amount.

10÷2=5

TRIANGLE=5

-----------------------------------------------------------------

Have a wonderful day and keep on learning! :D

An equation is formed of two equal expressions. The value of the Circle, Diamond, and the triangle is 4, 18, and -5, respectively.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the circle be represented by C, the diamond be represented by D, and the triangle be represented by T.

Now, the clues can be rewritten as,

D + 2 = 5(C)

3(C) = 12

2(C) = D + 2(T)

Since the second clue has only one variable C, let's solve it first,

3(C) = 12

C = 12 / 3

C = 4

Further, the first clue has two variables C and D, and the value of C is already known, therefore, solve it second.

D + 2 = 5(C)

D + 2 = 5(4)

D + 2 = 20

D = 20 - 2

D = 18

Furthermore, by solving the last Clue we will get,

2(C) = D + 2(T)

Substitute the known values,

2(4) = 18 + 2(T)

8 = 18 + 2T

8 - 18 = 2T

-10 = 2T

T = -5

Hence, the value of the Circle, Diamond, and the triangle is 4, 18, and -5, respectively.

Learn more about Equation here:

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Need help as soon as possible pls!!!!!

Answers

Answer:

probability

Step-by-step explanation:

do some division to calculate the probality of landing on a blue 1/3 and add up the numbers.

6+m/2 = -3
Help me pleAseeee

Answers

Answer:

m = -18

Step-by-step explanation:

6 + m/2 = -3

Subtract 6 from each side

6 + m/2 -6 = -3-6

m/2 = -9

Multiply each side by 2

m/2 * 2 = -9*2

m = -18

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{6+ \dfrac{m}{2}=-3}}}\\\huge\boxed{\rightarrow\mathsf{6 + \dfrac{1}{2}m = -3}}[/tex]

[tex]\huge\boxed{\rightarrow \mathsf{\dfrac{1}{2}m+ 6 = -3}}\\\\\huge\boxed{\text{SUBTRACT 6 to BOTH SIDES}}\\\huge\boxed{\mathsf{\dfrac{1}{2}m + 6 - 6 = -3 + 3}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m = -9}}[/tex]

[tex]\huge\boxed{\text{MULTIPLY 2 to BOTH SIDES}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m \times 2 = 2 \times -9}}[/tex]

[tex]\huge\boxed{\mathsf{m = 2\times-9}}\\\huge\boxed{\mathsf{2\times-9 = m}}\\\huge\boxed{\mathsf{2\times-9 = \bf -18}}\\\\\huge\boxed{\textsf{Therefore, your answer: \bf -18}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

I will give brainiest whoever is right thanks :)

Answers

In order to find more equivalent ratios you must multiply by 2 or more. 2 is easiest so

(2)7 and (2)3= 14:6
Thats is one equivalent ratio now 2 more.

14(2) and 6(2)= 28:12

Last but not least

28(2) and 12(2)= 56:24

For the explanation: they are equal because we are multiplying the numbers by the same numbers which allow them to be increased at the same rate. It is like we are unsimplifying a fraction.

pls help finding X
thank you if u do (Pls do not spam i have this in my test so need to learn)

Answers

Answer: x= 26

Step-by-step explanation:

27+x+127 = 180(being linear pair)

or, x + 154 = 180

or, x = 180-154

so, x = 26

Answer:

26

Step-by-step explanation:

Here,

27+ 127+ x =180

154+ x = 180

x =180-154

x=26

hope it is helpful

Which of the graphs model the equation y= x^2?​

Answers

Answer:

Step-by-step explanation:

The general equation for a parabola is y=4(x^2). The given eqn is y=x^2.

The equation resembles a parabola.

So clearly the answer is either B or C.

Now substitute some values. The value of y can't be negative because x^2 will always be positive.

The answer is B.

why are there three zeros in the product of 6 times 103

Answers

Answer:

There’s not

Step-by-step explanation:

It’s 618

Solve for x:
2x + 5y = 8
Enter the number that belongs in the green box.
X =
By
fyt
Enter

Answers

Answer:

the answer is in picture

Answer:

x=5/2y+4

Step-by-step explanation:

Use properties of real numbers to write the expression without parentheses. 6(x + y)

Answers

[tex]\boxed{\sf a(b+c)=ab+ac}[/tex]

[tex]\\ \sf\longmapsto 6(x+y)[/tex]

[tex]\\ \sf\longmapsto 6(x)+6(y)[/tex]

[tex]\\ \sf\longmapsto 6x+6y[/tex]

HELP GIVING BRAINLESTTTT!!!!!!!!

Answers

Answer:

4

......................

which line has a slope of -3/4 and a y-int of 3/2? see photos

Answers

Answer: Self Guidance. A slope of -3/4 and a y intercept doesn't look like any of them

Step-by-step explanation:

A slope of -3/4 and a y-intercept of 3/2 looks like this. After, maybe you can try it on your own. Hope this helps

please someone help me I will mark you has brainiest​

Answers

Answer:

i angle EFB

ii BFC and AFC

Step-by-step explanation:

Answer:

i .angle AFC

iiAFC and AFB

a football team lost 9 yards on the first play and then gained 9 yards on the second play where did they start at

Answers

Answer:

y = x - 9 + 3 +3.

Step-by-step explanation:

.

m∠WYX = (2x − 7)° and m∠WYZ = (3x + 2)°. If ∠WYX and ∠WYZ are complementary, what is the measure of each angle?

Answers

Answer:

m<WYX = 31°; m<WYZ = 59°

The measure of the angle ∠WYX and ∠WYZ will be 31° and 59°.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

m∠WYX = (2x − 7)° and m∠WYZ = (3x + 2)°.

If ∠WYX and ∠WYZ are complementary, then the sum of the angles ∠WYX and ∠WYZ will be 90°.

Then the equation will be

∠WYX + ∠WYZ = 90°

2x - 7 + 3x + 2 = 90

             5x - 5 = 90

             5x = 90 + 5

             5x = 95

               x = 95 / 5

               x = 19

Then the measure of the angle ∠WYX will be

∠WYX = (2x − 7)°

∠WYX = (2 × 19 − 7)°

∠WYX = (38 − 7)°

∠WYX = 31°

Then the measure of the angle ∠WYZ will be

∠WYZ = (3x + 2)°

∠WYZ = (3 × 19 + 2)°

∠WYZ = (57 + 2)°

∠WYZ = 59°

The measure of the angle ∠WYX and ∠WYZ will be 31° and 59°.

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a positive integer n is called special if n is divisible by 4, N+1 is divisible by 5 and n+2 is divisible by 6. how many special integers smaller than 1000 are there?​

Answers

Answer:

17

Step-by-step explanation:

these positive integers are :

4, 64, 124, 184 ... , 964

964 = 4 + (n-1) (60)

964 = 4 + 60n -60

964 = 60n -56

60n = 1020

n = 1020/60

n = 17

so, the number of special integers smaller than 1000 are = 17

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