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3 years ago

What ratio can we say are equivalent to 2:9 how do you get the answer explain to me

1 answer:

5 0

Ratio equivalent to 2:9 is 4:18, 6:27

If you multiply the same number to both numbers, the ratio would always be the same.

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Determine the area enclosed by y=2x+3, the x-axis and the ordinates x=3 and x=4

jok3333 [9.3K]

Answer:

$\displaystyle \int\limits^4_3 {2x + 3} \, dx = 10$

General Formulas and Concepts:
Calculus

Integration

Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

Area of a Region Formula: $\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx$

Step-by-step explanation:

Step 1: Define

Identify.

y = 2x + 3

x-interval [3, 4]

x-axis

See attachment for graph.

Step 2: Find Area

Substitute in variables [Area of a Region Formula]: $\displaystyle A = \int\limits^4_3 {2x + 3} \, dx$
[Integral] Rewrite [Integration Property - Addition/Subtraction]: $\displaystyle A = \int\limits^4_3 {2x} \, dx + \int\limits^4_3 {3} \, dx$
[Integrals] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle A = 2 \int\limits^4_3 {x} \, dx + 3 \int\limits^4_3 {} \, dx$
[Integrals] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle A = 2 \bigg( \frac{x^2}{2} \bigg) \bigg| \limits^4_3 + 3(x) \bigg| \limits^4_3$
[Integrals] Integrate [Integration Rule - FTC 1]: $\displaystyle A = 2 \bigg( \frac{7}{2} \bigg) + 3(1)$
Simplify: $\displaystyle A = 10$

∴ the area bounded by the region y = 2x + 3, x-axis, and the coordinates x = 3 and x = 4 is equal to 10.

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Learn more about integration: brainly.com/question/26401241

Learn more about calculus: brainly.com/question/20197752

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

3 0

2 years ago

Look At picture! Below!

eimsori [14]

Answer:

The answer is: the second one

Step-by-step explanation:

(2x + 2)/y = 4w + 2

pass y to the right side 2x + 2 = y(4w + 2)

expand 2x +2 = 4wy + 2y

pass 2 to the right 2x = 4wy + 2y -2

pass 2 to the right x = (4wy + 2y - 2)/2

simplify x = 2wy + y - 1 or = 2yw + y -1

8 0

3 years ago

Solve for x and graph the solution on the number line

podryga [215]

14 because i did the math and i was right

7 0

2 years ago

Mervin has some cartons of milk. He sold 2/5 of milk in the morning. He sold 3/4 of the remainder in the afternoon. 24 more cart

sergejj [24]

2/5 were sold in the morning. This is equal to 40% of the total. That leaves 60% leftover.

3/4 were sold in the afternoon. This is equal to 75% of the 60% leftover or 45% of the total (.6x.75).

The difference between the two sales is 24 cartons or 5% (45%-40%). If 5% is equal to 24 then you can cross multiply to see what is the equivalent number of cartons out of 100%.

5/100 = 24/x

5x = 24(100)

5x = 2400

x = 480

ANSWER: 480 cartons

6 0

3 years ago

Elaina just began working as an occupational therapist assistant for $21.00 per hour. For each paycheck she receives, 12% is ded

lora16 [44]

Answer:

Elaina just began working as an occupational therapist assistant for $21.00 per hour. For each paycheck she receives, 12% is deducted from the gross pay for Federal Withholding Tax. In addition, 1.45% is deducted for Medicare and 6.2% for Social Security. Below is Elaina’s paycheck with missing information.

Elaina’s gross pay for a two week period is $1680.00, what is her net pay?

Step-by-step explanation:

3 0

3 years ago