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3 years ago

Solve the proportion 18/30 = 12/n. what does N equal?

Mathematics

1 answer:

natita [175]3 years ago

8 0

So you are going to want to cross multiply getting 18x=360 then from there you divide gettin x=20

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What is the area of this triangle?

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3 years ago

PLEASE HELP!!!! -1 3/5 divided by (-2/3) Write the answer as a mixed number

natka813 [3]

Answer:

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3 years ago

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Identify the lateral area and surface area of a regular square pyramid with base edge length 11 cm and slant height 15 cm, round

Ann [662]

The surface area of the square pyramid is: 451 cm²

The lateral surface area of the square pyramid = 330 cm²

<h3>What is the Lateral Surface Area and Surface Area of a Square Pyramid?</h3>

Surface area = a² + 2al, where a is the base edge and l is the slant height.

Lateral Surface Area = 2al.

Given the following:

a = 11 cm
l = 15 cm

Surface area = a² + 2al = 11² + 2(11)(15)

Surface area = 451 cm²

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Lateral Surface Area = 330 cm²

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1 year ago

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Substitution to evaluate the indefinite integral

gregori [183]

Answer:

$\displaystyle \int {e^{5x}} \, dx = \boxed{ \frac{e^{5x}}{5} + C }$

General Formulas and Concepts:
Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]:
$\displaystyle (cu)' = cu'$
Derivative Rule [Basic Power Rule]:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Integration

Integrals

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

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

Integration Methods: U-Substitution

Step-by-step explanation:

Step 1: Define

Identify given.

$\displaystyle \int {e^{5x}} \, dx$

Step 2: Integrate Pt. 1

Identify variables for u-substitution.

Set u:
$\displaystyle u = 5x$
[u] Differentiate [Derivative Rules and Properties]:
$\displaystyle du = 5 \ dx$

Step 3: Integrate Pt. 2

[Integral] Rewrite [Integration Property - Multiplied Constant]:
$\displaystyle \begin{aligned}\int {e^{5x}} \, dx & = \frac{1}{5} \int {5e^{5x}} \, dx \\\end{aligned}$
[Integral] Apply Integration Method [U-Substitution]:
$\displaystyle \begin{aligned}\int {e^{5x}} \, dx & = \frac{1}{5} \int {5e^{5x}} \, dx \\& = \frac{1}{5} \int {e^u} \, du \\\end{aligned}$
[Integral] Apply Exponential Integration:
$\displaystyle \begin{aligned}\int {e^{5x}} \, dx & = \frac{1}{5} \int {5e^{5x}} \, dx \\& = \frac{1}{5} \int {e^u} \, du \\& = \frac{e^u}{5} + C \\\end{aligned}$
[u] Back-substitute:
$\displaystyle \begin{aligned}\int {e^{5x}} \, dx & = \frac{1}{5} \int {5e^{5x}} \, dx \\& = \frac{1}{5} \int {e^u} \, du \\& = \frac{e^u}{5} + C \\& = \boxed{ \frac{e^{5x}}{5} + C } \\\end{aligned}$

∴ we have used substitution to evaluate the indefinite integral.

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Learn more about integration: brainly.com/question/27746495

Learn more about Calculus: brainly.com/question/27593180

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

Unit: Integration

3 0

1 year ago

Find the value of x!!!!!!!!!!!!

Phantasy [73]

Answer:

$x=3\sqrt{7}$

Step-by-step explanation:

If a tangent and a secant connect to an exterior point of a circle, the tangent squared is equal to the product of the two segments the secant creates.

Therefore, we have:

$x^2=7 \cdot 9,\\x^2=63,\\x=\sqrt{63}=\boxed{3\sqrt{7}}$

8 0

2 years ago

Solve the proportion 18/30 = 12/n. what does N equal?​

Solve the proportion 18/30 = 12/n. what does N equal?