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2 years ago

Questions, are all in picture, please solve

Mathematics

1 answer:

Andrews [41]2 years ago

3 0

The function represents a <em>cosine</em> graph with axis at y = - 1, period of 6, and amplitude of 2.5.

<h3>How to analyze sinusoidal functions</h3>

In this question we have a <em>sinusoidal</em> function, of which we are supposed to find the following variables based on given picture:

Equation of the axis - Horizontal that represents the mean of the bounds of the function.
Period - Horizontal distance needed between two maxima or two minima.
Amplitude - Mean of the difference of the bounds of the function.
Type of sinusoidal function - The function represents either a sine or a cosine if and only if trigonometric function is continuous and bounded between - 1 and 1.

Then, we have the following results:

Equation of the axis: y = - 1
Period: 6
Amplitude: 2.5
The graph may be represented by a cosine with no <em>angular</em> phase and a sine with <em>angular</em> phase, based on the following trigonometric expression:

cos θ = sin (θ + π/2)

To learn more on sinusoidal functions: brainly.com/question/12060967

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You might be interested in

A line passes through the point (-4,7) and has a slope of 5/2.

hoa [83]

Answer:

(9,20)

Step-by-step explanation:

9 and 20 together... (9,20)

8 0

3 years ago

A sample of 64 observations has been selected to test whether the population mean is smaller than 15. The sample showed an avera

KengaRu [80]

Answer:

Test statistic = - 0.851063

- 2.520463

Step-by-step explanation:

H0 : μ ≥ 15

H1 : μ < 15

Sample mean, xbar = 14.5

Sample standard deviation, s = 4.7

Sample size = 64

Teat statistic :

(xbar - μ) ÷ (s/√(n))

(14.5 - 15) ÷ (4.7/√(64))

= - 0.851063

The critical value at α = 0.05

Using the T - distribution :

Degree of freedom, df = 64 - 1 = 63

Tcritical(0.05, 63) = 1.6694

Test statistic - critical value

-0.851063 - 1.6694

= - 2.520463

8 0

3 years ago

Help me with this please!!

valina [46]

<h2><u>Given:</u><u>-</u></h2>

Points C = (-7,2) → $\sf{(X_1,Y_1)}$
D = (3,12) → $\sf{(X_2,Y_2)}$

The Midpoint of CD.

<h2><u>Required</u><u> </u><u>Response</u><u>:</u><u>-</u></h2>

Let,

Midpoint of CD be (x,y).

WKT,

$\boxed{\sf{(x,y) = \frac{X_1+X_2}{2},\frac{Y_1+Y_2}{2}}}$

$→\;{\sf{\frac{-7+3}{2},\frac{2+12}{2}}}$

$→\;{\sf{\frac{-4}{2},\frac{14}{2}}}$

$→\;{\sf{-2,7}}$

The Midpoint of CD ◕➜ $\Large{\red{\mathfrak{(-2,7)}}}$

Let,

The centre be O

Radius = CO & OD

Here, C = (-7,2) → $\sf{(X_1,Y_1)}$

O = (-2,7) → $\sf{(X_2,Y_2)}$

$\boxed{\sf{Distance = \sqrt{(X_2-X_1)²+(Y_2-Y_1)²}}}$

$→\;{\sf{\sqrt{(-2+7)²+(7-2)²}}}$

$→\;{\sf{\sqrt{5²+5²}}}$

$→\;{\sf{\sqrt{25+25}}}$

$→\;{\sf{\sqrt{50}}}$

$→\;{\sf{5√2 (or) 7.07}}$

Radius of Circle ◕➜ $\Large{\red{\mathfrak{7.07}}}$

<h2>Option D.</h2>

Hope It Helps You ✌️

3 0

3 years ago

What numbers add up to 3 & multiple to 10

Galina-37 [17]

There are no real numbers that can do that job.

The numbers are

<em> 1.5 + i √7.75</em>
and
<em>1.5 - i √7.75</em>

These are called 'complex numbers'. The symbol ' i ' stands for √-1 .

==================================================

If either the ' 3 ' or the ' 10 ' was actually supposed to be negative,
then the two numbers would be<em> 2 </em> and<em> -5 .</em>

4 0

4 years ago

Read 2 more answers

Raman mixed juice and water in the ratio 2 : 3 and Meera mixed juice and water in the ratio 1 : 4. They then mixed 150 ml of Ram

Kay [80]

Answer:

Step-by-step explanation:

ramans ratio is 2:3

so in 150ml there are 2 parts of juice and 3 parts of water

2x + 3x = 150

x = 30

so, juice in 150 ml of raman's mixture = 2x = 2* 30 = 60ml

meera ratio is 1:4

similarly,

1y + 4y = 100

y = 20

so, juice in 100 ml of meera's mixture is y = 20ml

so, quanitity of juice in final mixture is 60 + 20 = 80

4 0

3 years ago