Determine the niinimum and maximum value of the following trigonometric
function.
f(x) = 5 cos 3x – 3

Answer:

Centre is [tex](7,11)[/tex]

Radius is [tex]6[/tex]

Step-by-step explanation:

The general equation for a circle is written in the form [tex](x-a)^2+(y-b)^2=r^2[/tex] , where [tex](a,b)[/tex] is the centre of the circle, and [tex]r[/tex] is the radius.

For your circle, [tex](x-7)^2+(y-11)=36[/tex], we can compare it with the general equation to find the centre and radius.

[tex]-a = -7[/tex]

[tex]-b = -11[/tex]

[tex]r^2 = 36[/tex]

Therefore, [tex]a=7[/tex], [tex]b=11[/tex] and [tex]r=6[/tex].

Centre at [tex](a,b)[/tex] which is [tex](7,11)[/tex] .

Answer:

1.

For triangle 1

[tex]a = 3\sqrt{5}[/tex]

For triangle 2

[tex]x = 2\sqrt{2}[/tex]

2.

Way 1

By reducing  the length of the side 4 to 3.60

Way 2

By increasing the length of side 7 to 7.21

Step-by-step explanation:

The complete question is attached in the image

Solution

1.

Both the triangles are right angled triangle

For triangle 1

[tex]7^2 = 2^2 + a^2\\49 = 4 + a^2\\a^2 = 45\\a = 3\sqrt{5}[/tex]

For triangle 2

[tex]4^2 = x^2+x^2\\2x^2 = 4*4\\x^2 = 8\\x = 2\sqrt{2}[/tex]

2.

Way 1

By reducing  the length of the side 4 to 3.60

Way 2

By increasing the length of side 7 to 7.21

Answer:

The answer is "The claim is plausible because 3 head movements per minute are contained within the interval".

Step-by-step explanation:

The wet-growing process of creation, located in western Florida, is researched by animal researchers. Food production is the process of finding food. The researchers had collected a sampling of 63 lizards with the number of head motions per minute to investigate such behavior. The sample-based confidence interval of 95% is given as hand gestures of 2.7±0.62 per minute. Depending on the interval, a statement of 3 hand gestures is plausible per minute then within the interval, there have been three head motions per minute.

Answer:

1.

a.

i & iii

b.

ii & iii

2.

a.

2.5 or 5/2

b.

12.9

c.

12

d.

11/4

e.

4

3.

I cant help u w/ this one

4.

a.

.424

b.

.0082

5.

Yes both their methods works.

Step-by-step explanation:

Trust me

Answer: Question 1 : x + 3 = 14 and x = 14 - 3

Question 2: y/5 = 60 and y = 60 x 5

Solve each eqaution

2x = 5 : answer : x = 5/2

y + 1.8 = 14.7 (subtract 1.8 on each side) : answer = 12.9

6 = 1/2z (combine terms) Answer 12

3 1/4 = 1/2 + W (Convert mixed numbers to improper fractions) answer = -1 9/13

2.5t = 10 : answer : 4

2.5t-(10)=0

t=10/2.5

(For 3 I can't draw the diagram asked. sorry)

21.2 - 0.82 = 20.38

2.05 x 0.004 = 0.00820.

Lin is right. Jada method 60 divided by 4 (1/4 of 60) which gives you 15. Andre method: 25/100 x 60 = 50.

Hoped this helped

Step-by-step explanation:

Answer:

Approximately 3 times, Jake will be able to hit the ball in a game of 10 balls

Step-by-step explanation:

Batting average determine the % share of time the bat hit the ball.

Jake's probability of hitting a ball = 0.34

Jake plays 10 games.

Probability of hitting a ball in a game is

10 * 0.34 = 3.4

Approximately 3 times, Jake will be able to hit the ball in a game of 10 balls

Answer:

c

Step-by-step explanation:

6x2=12

3x6=18

18+12= 30

Answer:

B. 24 in ^2

Step-by-step explanation:

To find this follow these steps:

1. find the area of the first square: 6 inches times 3 inches so you get 18 inches squared

2. Find the area of the second square : 3 inches times 2 inches you get 6 inches squared

Have a wonderful day!

Answer:

according to the question

y=x

p(x,y) reflection p'(y,x)

Answer:

All the above

Answer:

B: 25

Give me Brainliest lol-

Answer:

25

Step-by-step explanation:

d1 x d2 divide by 2

10 x 5 = 50/2 =25

Answer:

-log(2)

Step-by-step explanation:

Answer:

Using Sine Rule

w= 19.8

Answer:

B

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

50÷4=12.5

Answer:

≈ 7.07m

Step-by-step explanation:

Let the length of a side of a square

= a metre

a² = 50 m²

[tex] \sf{a = \sqrt{50m {}^{2} }}[/tex]

[tex] \sf{ = \sqrt{2 \times 5 \times 5m {}^{2} }}[/tex]

[tex] \sf{ = 5 \sqrt{2m} }[/tex]

≈ 5x 1.414

≈ 7.07 m

therefore

side of triangle

[tex] \sf \: = 5 \sqrt{2m} [/tex]

Answer:

15x15x15

Step-by-step explanation:

13x13x13= 2197

15x15x15= 3375

Answer:

p = 10

Step-by-step explanation:

3p + 10 + 5p = 90

8p + 10 = 90

90 - 10 = 80

80 / 8 = 10

Answer:

a

Step-by-step explanation:

Answer:

x < -1

Step-by-step explanation:

Hope this helps you :)

Answer:

12

Step-by-step explanation:

Answer:

P(A or B) = 39%

Step-by-step explanation:

If A and B are mutually exclusive, they cannot occur at the same time, therefore their probabilities are added. This means P(A or B) = P(A) + P(B) = 23% + 16% = 39%

Answer:

C. 0.025 < p < 0.05

Step-by-step explanation:

The [tex]\chi^2[/tex] goodness-of-fit test parameters are presented here as follows;

The number of Skittles in the bag = 30 Skittles

The different flavors in the bag of Skittles = Strawberry, orange, lemon, lime, and grape

The number of different flavors, n = 5 flavors

The [tex]\chi^2[/tex] statistic = 10.20

Therefore, the degrees of freedom, d.f. = n - 1 = 5 - 1 = 4

Using the chi-square ([tex]\chi^2[/tex]) distribution table,  we have;

The probability at 4 degrees of freedom for a [tex]\chi^2[/tex] statistic of 10.20 is between 0.025 and 0.05

Therefore, we get;

The probability (P > 10.20) = 0.025 < p < 0.05.

Answer:

16

Step-by-step explanation:

8/ 2*(2+2) = 4*(2+2) = 4*4 = 16

Answer:

x = 4

y = 10

Step-by-step explanation:

3x + 2y = 32 (Multiply this equation by -3)

9x - 3y = 6

-9x - 6y = -96

9x - 3y = 6

-9y = -90

y = 10

3x + 2y = 32

3x + 2(10) = 32

3x + 20 = 32

3x = 32 - 20

3x = 12

x = 4

This may help

https://youtu.be/xxAFh-qHPPA

Answer: C-26

Step-by-step explanation: First you need to figure out how many total cars he needs to sell through the year by multiplying 12 by 18. This should get you 216. Now, we need to add all of his actual stats that we have so far to get a total of 190 cars sold. We know he needs 216 total by the end of the year, so we just have to subtract 190 from 216 to get our answer, 26.

Answer:

C - Triangle, Pentagon, Hexagon, Decagon

Step-by-step explanation:

Triangle - 3 sides

Pentagon - 5 sides

Hexagon - 6 sides

Decagon - 10 sides

From Least to greatest!

:)

Answer:

your answer is 628.32cm :)

Answer:  I think it is 628.32

Step-by-step explanation: You have to multiply the radius by two to get the diameter and then multiply that by 3.14(PI)

100 x 2=200    

3.14 x 200=628.32

Answer:

y = 20.

Step-by-step explanation:

Multiply 5 by 12.

Divide both 3y and 60 by 3.

Remove 3 from 3y.

Divide 60 by 3.

The value of y from the given equation when x=12 is 20.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3y=5x.

The value of y when x= 12​ is

3y=5×12

y=5×4

y=20

Therefore, the value of y is 20.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer: A. 75

Step-by-step explanation: Hope this help :D

Evaluate for x=10

(4)(10)+5(10−3)

(4)(10)+5(10−3)

=75

Answer:

length is 17

width is 14

Step-by-step explanation: