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3 years ago

Find the slope of line

Mathematics

2 answers:

alexgriva [62]3 years ago

6 0

Answer:

2/4

Step-by-step explanation:

rise/run

go up (rise) 2, run 4

2/4

Volgvan3 years ago

3 0

Answer:

y=2/4x-3

Step-by-step explanation:

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Greta is trying to determine the portion of green candies in various bags of green and yellow candies. Using the information bel

IrinaK [193]

Answer: a) $\dfrac{1}{3}$ b) $\dfrac{71}{100}$ c) $\dfrac{5}{9}$

Step-by-step explanation:

Since we have given that

There are green and yellow candies in each bag.

Bag A: Two thirds of the candies are yellow. What portion of the candies is green?

Part of yellow candies in bag A = $\dfrac{2}{3}$

Part of green candies in bag A would be

$1-\dfrac{2}{3}\\\\=\dfrac{3-2}{3}\\\\=\dfrac{1}{3}$

Bag B: 29 % of the candies are yellow. What portion of the candies is green?

Percentage of candies are yellow = 29%

Portion of candies are green is given by

$1-\dfrac{29}{100}\\\\=1-0.29\\\\=0.71\\\\=\dfrac{71}{100}$

Bag C: 4 out of every 9 candies are yellow. What portion of the candies is green?

Portion of yellow candies = $\dfrac{4}{9}$

Portion of green candies would be

$1-\dfrac{4}{9}\\\\=\dfrac{9-4}{9}\\\\=\dfrac{5}{9}$

Hence, a) $\dfrac{1}{3}$ b) $\dfrac{71}{100}$ c) $\dfrac{5}{9}$

6 0

2 years ago

Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of f(x)=x^2+2 for 0≤x≤5 about x

Irina18 [472]

For each x in the interval 0 ≤ x ≤ 5, the shell at that point has

• radius = 5 - x, which is the distance from x to x = 5

• height = x ² + 2

• thickness = dx

and hence contributes a volume of 2π (5 - x) (x ² + 2) dx.

Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:

$\displaystyle 2\pi \int_0^5 (5-x)(x^2+2)\,\mathrm dx=2\pi\int_0^5 (10-2x+5x^2-x^3)\,\mathrm dx=\boxed{\frac{925\pi}6}$

4 0

2 years ago

Linear equation 4.5 + 1.5y=24 x-y=4

WARRIOR [948]

4.5x + 1.5y = 24 ⇒ 4.5x + 1.5y = 24
1.0x - 1.0y = 4 ⇒ 4.5x - 4.5y = 18
 6y = 6
 6 6
 y = 1
 4.5x + 1.5(1) = 24
 4.5x + 1.5 = 24
 - 1.5 - 1.5
 4.5x = 22.5
 4.5 4.5
 x = 5
 (x, y) = (5, 1)

8 0

3 years ago

Please Help! Will mark brainliest!

damaskus [11]

Answer:

440 miles

Step-by-step explanation:

miles ÷ gallons

132 ÷ 6 = 22

22 miles per gallon

22 × 20 = 440

3 0

2 years ago

For the equation below, determine its order. Name the independent variable, the dependent variable, and any parameters in the eq

PIT_PIT [208]

Answer:

The equation is an differential equation of second order.

The dependent variable is x, while t is the independent variable.

Step-by-step explanation:

The order of the equation depends on the greatest grade of the derivative, in this case it's the second derivative (x'')

Since x is a function of t, we would have that t is the independent variable while x is the dependent variable.

3 0

3 years ago