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Feliz [49]
3 years ago
8

How to do multiplicities

Mathematics
1 answer:
victus00 [196]3 years ago
4 0
I think, you just find a number that could be divided by or divided for.
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What is the value of -5.872 + (-5.1) ÷ 1.5? (a.) -9.272 (b.) -2.472 (c.) -7.315 (d.) 0.515
BigorU [14]

Answer:

The answer is A) -9.272

Step-by-step explanation:

-5.872 + (-5.1)/1.5

= -5.872 - 3.4

= -9.272

5 0
3 years ago
Which of the following is a solution to 2cos2x − cos x − 1 = 0?
Pavel [41]

Answer:

Option A is correct.

Solution for the given equation is, x = 0^{\circ}

Step-by-step explanation:

Given that : 2\cos^2x -\cos x -1 =0

Let \cos x =y

then our equation become;

2y^2-y-1= 0           .....[1]

A quadratic equation is of the form:

ax^2+bx+c =0.....[2] where a, b and c are coefficient and the solution is given by;

x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}

Comparing equation [1] and [2] we get;

a = 2 b = -1 and c =-1

then;

y = \frac{-(-1)\pm \sqrt{(-1)^2-4(2)(-1)}}{2(2)}

Simplify:

y = \frac{ 1 \pm \sqrt{1+8}}{4}

or

y = \frac{ 1 \pm \sqrt{9}}{4}

y = \frac{ 1 \pm 3}{4}

or

y = \frac{1+3}{4} and y = \frac{1 -3}{4}

Simplify:

y = 1 and y = -\frac{1}{2}

Substitute y = cos x we have;

\cos x = 1

⇒x = 0^{\circ}

and

\cos x = -\frac{1}{2}

⇒ x = 120^{\circ} \text{and} x = 240^{\circ}

The solution set:  \{0^{\circ}, 120^{\circ} , 240^{\circ}\}

Therefore, the solution for the given equation  2\cos^2x -\cos x -1 =0 is, 0^{\circ}





8 0
3 years ago
Read 2 more answers
Find that median 169, 72, 161, 322, 56, 145, 64,64, 80, 288, 95, 97, 209,209,48
Alexus [3.1K]

Answer:

97

Step-by-step explanation:

The number in the middle is 97

4 0
3 years ago
Read 2 more answers
2. The sum of two integers is 74. The larger is 26 more than twice the smaller. Find the two integers.
kompoz [17]
74=x+y is the equation at the beginning we will say that x is the smaller number and y is the larger one. Now we substitute the larger number (y) for 26+2x. Plug that into the beginning equation to get 74= x+ 26+2x. Now solve.
74=3x+26
48=3x
16=x
So we know that our smaller number is 16. To find the larger number we plug the value of the smaller number into the equation for the larger number like this.
y=26+2x
y=26+2(16)
y=26+32
y=58.
So to check our answer we can plug in both values into the beginning equation.
74=58+16
74=74.
So to sum this up the smaller number is 16 and the larger number is 58.

4 0
3 years ago
A research center is interested in investigating the height and age of children who are between 5 to 9 years old. In order to do
ehidna [41]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Age(x)

7

8

5

8

8

7

7

7

9

8

5

8

6

5

8

Height (Y)

47.3

48.8

41.3

50.4

51

47.1

46.9

48

51.2

51.2

40.3

48.9

45.2

41.9

49.6

The estimated regression equation:

ŷ = 2.73953X + 27.91395

Where ;

X = independent variable

ŷ = predicted or dependent variable

27.91395 = intercept

C.) To obtain the variation in sample values of height estimated by the model, we obtain the Coefficient of correlation:

Using the online pearson correlation Coefficient calculator :

The correlation Coefficient is 0.9696.

which means that the regression model estimated in part (b) explains approximately (0.9696 * 100) = 96.96% = 97% of the variation in the height in the sample.

3 0
3 years ago
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