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Mazyrski [523]
3 years ago
13

11213

Mathematics
1 answer:
drek231 [11]3 years ago
8 0

Answer: The other number is 85.

Step-by-step explanation:

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A sinusoidal function whose period is 4π, maximum value is 6, and minimum value is -2 has a y intercept of 6. What is the equati
IRINA_888 [86]

Equation of the function: f(x) = 4 sin (x/2) + 6.

<h3>What is sinusoidal function ?</h3>

The term sinusoidal is used to describe a curve, referred to as a sine wave or a sinusoid, that exhibits smooth, periodic oscillation. It is named based on the function y=sin(x).

Given: max value= 6, min value= -2, y-intercept= 6.

As, standard form f(x) = A sin (ωx +φ) + k,

where A is the amplitude, ω is the angular velocity with ω=2πf.

Now,

A = |6- (-2)/2|

A = |6 +2/2| = 8/2

A = 4

Also, ω:

The period of a sinusoidal is T = 1/f

so, f = 1 / T

ω = 2πf

ω = 2π ( 1/T) with T = 4π

ω = 2π (1/(4π) = 2π (2)

ω = 1/2

The y-intercept k = 6

So, equation with values A =4, ω = 1/2, k = 6, φ = 0.

f(x) = A f(x)

f(x) = A sin (ωx +φ) + k

f(x) = 4 sin (x/2) + 6.

Hence, equation of the function f(x) = 4 sin (x/2) + 6.

Learn more about this concept here:

brainly.com/question/26315885

#SPJ1

4 0
2 years ago
Pythagorean Theorem &amp; irrational Numbers Question
Arisa [49]

Answer:

2nd

Step-by-step explanation:

6 0
3 years ago
Gini has a small garden that is 234 yards in length and 1 yard and with she grows roses 1/2 of her garden how many square yards
kipiarov [429]

Answer:

117 square yards.

Step-by-step explanation:

Given:

Length of garden = 234 yards

Breadth of garden = 1 yard

She grows roses 1/2 of her garden.

Question asked:

How many square yards are Gini's garden has roses ?

Solution:

First of all we will find area of rectangular garden.

Area \  of \  rectangle = Length\times breadth

                             =234\times1 =234  \ square \ yards

Then, as here given half of garden, she grows roses, we will find half of the

rectangular garden.

\frac{1}{2} \ of 234\\\frac{1}{2} \times234 =117\ square\ yards

Therefore, 117 square yards of her garden has roses.

5 0
3 years ago
Find the value.<br><br> A.<br> 1<br><br> B.<br> 2<br><br> C.<br> 3<br><br> D.<br> 0.5
Ksju [112]
The cube root is 1
The Answer is A. 1
4 0
3 years ago
A product is now £50, the product was reduced by 20%, what was the original price
olga nikolaevna [1]

the original price is "x", or 100%.

but we know that if we reduce "x" by 20%, namely 100% - 20% = 80%, the 80% of "x" is really £50, what is "x" or the 100% anyway?

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 50&80 \end{array}\implies \cfrac{x}{50}=\cfrac{100}{80}\implies \cfrac{x}{50}=\cfrac{5}{4}\implies 4x=250 \\\\\\ x=\cfrac{250}{4}\implies x=62.5

3 0
3 years ago
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