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ValentinkaMS [17]
3 years ago
14

What is the slope of the linear function represented in the table? -7 -1/7 1/7 7

Mathematics
1 answer:
rewona [7]3 years ago
7 0

Answer:

m=1/7

Step-by-step explanation:

Labeled the points and used Slope of a line formula.

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There are two tanks at the aquarium. Tank A and Tank B. Each has two sections. The volume of one section of Tank A is 24 cubic f
Reptile [31]
Question 1)

Volume of Tank A = Sum of volume of its two parts.

So,

Volume of Tank A = 24 + 96 = 120 cubic feet

Question 2)

Volume of Tank B and Tank A is the same. So, Volume of Tank B = 120 cubic feet

One section of Tank B = 45 cubic feet

So, volume of other section of tank B = 120 - 45 = 75 cubic feet
5 0
3 years ago
Two spherical shells have their mass uniformly distrubuted over the spherical surface. One of the shells has a diameter of 2 met
ivann1987 [24]
The moment of inertia of a spherical shell is I = mr²

If two spheres have the same moment of inertia, then
I₁ = I₂
m₁(r₁)² = m₂(r₂)²

Solve for the second mass:
m₂ = m₁ (r₁/r₂)²

Given m₁ = 1 kg, r₁ = 2 m, r₂ = 1m,
m₂ = (1 kg) (2 m / 1 m)² = 4 kg

7 0
3 years ago
if PQ || RS and the slope of PQ= x-1/4 and the slope of RS is 3/8 then find the value of x justify algebraically and numerically
Artemon [7]

The value of x is 5/8.

<u>Step-by-step explanation</u>:

Given,

  • The lines PQ and RS are parallel to each other.
  • slope of PQ= x-1/4
  • slope of RS = 3/8

The slopes of parallel lines are equal.

slope of PQ = slope of RS

⇒ x-1/4 = 3/8

⇒ (4x-1)/4 = 3/8

⇒ 8(4x-1) = 4(3)

⇒ 32x-8 = 12

⇒ 32x = 20

x = 20/32

x = 5/8

5 0
3 years ago
PYTHAGOREAN THEOREM IN 3D URGENT PLEASE PHOTO INSERTED
Andrews [41]

To find the length of the diagonal, we need to calculate the length of the base first and then use the value to calculate the diagonal since we are given the value of height of the triangle.

<h3>Pythagorean Theorem</h3>

This theorem is used to find the missing side of a right angle triangle given that we have the length of two sides.

To calculate the base of the triangle, let's use Pythagorean theorem here

x^2 = y^2 + z^2\\x^2 = 2^2 + 3^2\\x^2 = 4 + 9 \\x^2 = 13\\x = \sqrt{13} \\x = 3.61

Having the length of the base, let's consider the height of the triangle which is 6 and substitute the values.

d^2 = 6^2 + 3.61^2\\d^2 = 36 + 13.0321\\d^2 = 49.0321\\d = \sqrt{49.0321} \\d = 7.00

From the calculations above, the values of the triangle are

  • diagonal = 7
  • base = 3.61
  • height = 6

Learn more on pythagorean theorem here;

brainly.com/question/231802

#SPJ1

7 0
2 years ago
The Yu family and the Sainz family went on vacation together and each family leased a car. The leasing company charged a flat re
Dafna11 [192]

Answer:

y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

Step-by-step explanation:

Given that the leasing company charged a flat rental fee for the week, plus a charge for each mile driven.

Let flat rental fee be c and cost per mile driven = m and miles driven = x

Total cost =y

Then y = mx+C is the linear equation.

to find m and c, we use the fact that y =110.30 when x = 222

i.e. 110.30 = c+222x

and similarly 99.05 = c+147x

Subtract to eliminate c

11.25 = 75 x

0.15 =x

Substitute in I equation

110.30 = c+222(0.15)

c = 77

Hence y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

7 0
3 years ago
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