1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kogti [31]
3 years ago
11

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet.

Mathematics
1 answer:
natali 33 [55]3 years ago
4 0
I would say 75 feet per hour, though I am not 100% sure.

I first found the difference between hours (6-2 = 4) and then found the difference between distance (700 - 400 = 300). I then divided distance by hours and got 75.
You might be interested in
Simplifying expressions without negative exponents with variales
Olin [163]
Multiply (or distribute) the exponent outside the parenthesis with every exponent inside the parenthesis, remember that if there is no exponent shown, then the exponent is 1. Step 3: Apply the Negative Exponent Rule. Negative exponents in the numerator get moved to the denominator and become positive exponents.
7 0
3 years ago
In 1-5, given: Two similar cylinders with heights of 8 and 5 respectively.
lana66690 [7]

Answer:

1. The ratio of their diameters is 8/5 = 8 : 5

2. The ratio of their surface area is (8/5)²

3. The ratio of their volume is (8/5)³

4.The area of the base of the larger cylinder is 128 cm²

Step-by-step explanation:

Given that the two cylinders are similar, we have;

Two cylinders are similar when the ratio of their heights is equal to the ratio of their radii

Therefore, we have;

1. The ratio of the height of the two cylinders = 8/5 = The radio of their radii = r₁/r₂

The ratio of their diameter = D₁/D₂ = 2·r₁/2·r₂ = r₁/r₂ = 8/5

The ratio of their diameters D₁/D₂ = 8/5 = 8 : 5

2. The surface area of the cylinders = 2·π·r·h + 2·π·r²

Therefore, we have;

(2·π·r₁·h₁ + 2·π·r₁²)/(2·π·r₂·h₂ + 2·π·r₂²) = (r₁·h₁ + r₁²)/(r₂·h₂ + r₂²)

h₁ = h₂ × 8/5

r₁ = r₂ × 8/5

= (8/5)²(r₂·h₂ + r₂²)/(r₂·h₂ + r₂²)  = (8/5)²

The ratio of their surface area = (8/5)²

3. The volume of the cylinder = π·r²·h

∴ The ratio of the volume = (π·r₁²·h₁)/(π·r₂²·h₂) = (8/5)³ × (π·r₂²·h₂)/(π·r₂²·h₂) = (8/5)³

The ratio of their volume = (8/5)³

4. The ratio of the area of the base of the larger cylinder to the area of the base of the smaller cylinder is (8/5)²

Therefore if the area of the base of the smaller cylinder is 50 cm², the area of the base of the larger cylinder = 50 cm² × (8/5)²  = 128 cm²

7 0
3 years ago
An Epson HR100 printer priced at $379 is sold for $319. What was the percent price reduction?
EastWind [94]

Answer:

The percent price reduction was 15.83%

Step-by-step explanation:

we know that

In this problem

$379 represent the 100%

so

using proportion

Find out what percentage represent the difference between the original price and the final price

\frac{\$379}{100\%}=\frac{\$379-\$319}{x}\\\\x=100(60)/379\\\\x=15.83\%

3 0
3 years ago
Carter invested 540 in an account paying an interest rate of 4 and 7/8% compounded monthly. Jack invested 540 in an account payi
alukav5142 [94]

Answer:

Step-by-step explanation:

4 0
3 years ago
Let Ebe the set of all even positive integers in the universe Zof integers, and XE : Z R be the characteristic function of E.
AnnZ [28]

Answer:

\mathbf{X_E (2) =  1}

\mathbf{X_E (-2) = 0 }  

\mathbf{\{ x \in Z: X_E(x) = 1\}  = E}

Step-by-step explanation:

Let E be the set of all even positive integers in the universe Z of integers,

i.e

E = {2,4,6,8,10 ....∞}

X_E : Z \to R be the characteristic function of E.

∴

X_E(x) = \left \{ {{1 \ if  \ x \ \  is \ an \ element \ of \ E} \atop {0 \ if  \ x \ \  is \ not \ an  \ element \ of \ E}} \right.

For XE(2)

\mathbf{X_E (2) =  1}  since x is an element of E (i.e the set of all even numbers)

For XE(-2)

\mathbf{X_E (-2) = 0 }   since  - 2 is less than 0 , and -2 is not an element of E

For { x ∈ Z: XE(x) = 1}

This can be read as:

x which is and element of Z such that X is also an element of x which is equal to 1.

∴

\{ x \in Z: X_E(x) = 1\} = \{ x \in Z | x \in E\} \\ \\  \mathbf{\{ x \in Z: X_E(x) = 1\}  = E}

E = {2,4,6,8,10 ....∞}

5 0
3 years ago
Other questions:
  • The solutions to a certain quadratic equation are x = 4 and x = -3. Write the equation in standard form below.
    14·1 answer
  • Can someone help me solve by showing me how to..
    6·2 answers
  • The ratio of boys to girls in Ms.Smith’s class is 3 to 4. If there are 12 boys, how many girls are there?
    13·2 answers
  • Frank stands 450 feet from the base of the Statue of Liberty. If the Statue of Liberty is 306 feet tall, what is the angle of de
    12·1 answer
  • Please need help!!!!
    14·2 answers
  • You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the exper
    13·1 answer
  • Slope between (2,5) (4,11)
    6·1 answer
  • A student can type
    8·2 answers
  • In quadrilateral CLAP, angle p is a right angle, LA = CP, and CL = AP. This information can be used to prove that CLAP is a
    5·1 answer
  • Symbolize and Solve Equations
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!