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3 years ago

Blank plus blank times blank equals nine-teen

Mathematics

2 answers:

denis-greek [22]3 years ago

8 0

5+4x2= 19 hope that helped

Bad White [126]3 years ago

7 0

The answer is 5+4×2=19

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Fit a trigonometric function of the form f(t)=c0+c1sin(t)+c2cos(t)f(t)=c0+c1sin⁡(t)+c2cos⁡(t) to the data points (0,5.5)(0,5.5),

larisa86 [58]

Answer

$f(t)=-0.2+4.1sin(t)+4cos(t)$

Step-By-Step Explanation

Given the function $f(t)=c_0+c_1sin(t)+c_2cos(t)$ .

For each pair (t, f(t)) in the data points (0,5.5), (π/2,0.5), (π,−2.5), (3π/2,−7.5)

$f(0)=c_0+0c_1+c_2=5.5$ .

$f(\pi /2)=c_0+c_1+0c_2=0.5$ .

$f(\pi)=c_0+0sin(t)-c_2=-2.5$ .

$f(3\pi /2)=c_0-c_1+0c_2=-7.5$ .

Expressing this as a system of linear equations in matrix form AX=B

$\left(\begin{array}{ccc} 1 & 0 & 1 \\ 1 & 1 & 0 \\ 1 & 0 & -1 \\ 0 & -1 & 0 \end{array} \right)\left( \begin{array}{c} c_{0} \\ c_{1} \\ c_{2}\\ \end{array} \right)=\left(\begin{array}{c} 5.5 \\ 0.5 \\ -2.5 \\ -7.5 \end{array} \right)$

Where

$A=\left(\begin{array}{ccc} 1 & 0 & 1 \\ 1 & 1 & 0 \\ 1 & 0 & -1 \\ 0 & -1 & 0 \end{array} \right)$ ,

$B=\left(\begin{array}{c}5.5\\0.5\\-2.5\\-7.5\end{array} \right)$

$X=\left(\begin{array}{c}c_0\\c_1\\c_2\end{array}\right)$

To determine the values of X, we use the expression

$X=(A^{T}A)^{-1}A^{T}B$

$A^{T}A= \left(\begin{array}{ccc} 3 & 1 & 0 \\ 1 & 2 & 0 \\ 0 & 0 & 2 \end{array} \right)$

$(A^{T}A)^{-1}= \left(\begin{array}{ccc} 0.4 & -0.2 & 0 \\ -0.2 & 0.6 & 0 \\ 0 & 0 & 0.5 \end{array} \right)$

$A^{T}B=\left(\begin{array}{c} 3.5 \\ 8 \\ 8 \end{array} \right)$

Therefore:

$X=\left(\begin{array}{ccc} 0.4 & -0.2 & 0 \\ -0.2 & 0.6 & 0 \\ 0 & 0 & 0.5 \end{array} \right)\left( \begin{array}{c} 3.5 \\ 8 \\ 8 \end{array} \right)$

$X=\left(\begin{array}{c}c_0\\c_1\\c_2\end{array}\right)=\left(\begin{array}{c} -0.2 \\4.1\\4\end{array}\right)$

Therefore, the trigonometric function which fits to the given data is:

$f(t)=-0.2+4.1sin(t)+4cos(t)$

8 0

3 years ago

Determine if each statement is True or False. If False, determine what needs to be

kicyunya [14]

Answer:

a. False. A constant is a number on it's own, and 5 would be the coefficient of x. 8 would be the constant.

b. False. -6.5 would be the constant, since it's on its own. But actually, x would be carrying on a coefficient of 1. Letters are variables, not constants.

c. True.

8 0

3 years ago

Which linear inequality is represented by the graph?<br> O y>2/3x-2

DIA [1.3K]

Answer: x<6/2

Step-by-step explanation:

0y>2/3 x-2

You want to flip it

2/3 x-2<0

You want to add 2 to both sides

2/3 x-2+2<0+2

2/3x<2

You want to divide both sides by 2/3

2/3x < 2

-—— —

2/3 < 2/3

X<6/2

8 0

2 years ago

The dosage for a drug used to treat a male Siberian tiger that weighs 550 pounds is based on the tiger's weight in kilograms (kg

algol [13]

Answer:

227.2727 kilograms

Step-by-step explanation:

The tiger weight is 550 pounds, and we want to convert this value to kilograms, so we need to use the ratio between pounds and kilograms.

We know that 1 kilogram is equal to 2.2 pounds, so we can solve this problem using a rule of three:

1 kilogram is equal to 2.2 pounds,

X kilograms are equal to 550 pounds.

1/X = 2.2/500

X = 500/2.2 = 227.2727 kilograms

So the weight of the tiger in kilograms is 227.2727 kilograms.

3 0

3 years ago

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I NEED HELP WITH THIS MATH QUESTION, what are the 3 options ?

Zina [86]

Answer:

last one

Step-by-step explanation: 25 divided by four is 6.25

4 0

3 years ago

Read 2 more answers