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3 years ago

Probability of a coin landing on heads

Mathematics

2 answers:

Viefleur [7K]3 years ago

7 0

Answer:

The answer would be 50% or 1/2

Step-by-step explanation:

Blizzard [7]3 years ago

7 0

50% or 1/2 or .5 hope this helps :)

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A parking lot is 119.0 m long and 40.40 m wide. what is the perimeter of the lot?

vitfil [10]

P = 2l + 2w
P = 2(119) + 2(40.40) = 238 + 80.80 = 318.80

P = 318.80

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3 years ago

Riley finds a recipe for bubble solution that uses 1 cup water, 1/4 cup dish soap,

pochemuha

8 cups of water because 1/4 of dish soap 1 cup of water so 2 cups of dish soap is 8 1/4’s which mean 8 cups of that make sense

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3 years ago

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Find an equation of the line perpendicular to the graph of 15x-3y = 7that passes through the point at 0,

AlekseyPX

Answer:

5y + x = 5c

Step-by-step explanation:

Rewriting the equation, 15x - 3y = 7,

3y = 15x - 7

y = 5x - 7/3. The gradient is 5. The gradient of the perpendicular line is -1/5

The equation of the perpendicular to 15x - 3y = 7 passing through (0,c) is

(y - c)/(x - 0) = -1/5

(y - c)/x = -1/5

y - c = -x/5

y = -x/5 + c

5y = -x + 5c

5y + x = 5c

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3 years ago

1. Evaluate 7m+2n-8p OVER n for m = –4, n = 2, and p = 1.5.

Zigmanuir [339]

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3 years ago

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

2 years ago