- 2 1/4 ÷ (- 1 1/2) =

Given:

The first four terms of a sequence are:

8, 5, 2, -1

To find:

The function that defines the given sequence.

Solution:

We have,

8, 5, 2, -1

The differences between two consecutive terms are:

[tex]5-8=-3[/tex]

[tex]2-5=-3[/tex]

[tex]-1-2=-3[/tex]

The given sequence has a common difference -3. It means the given sequence is an arithmetic sequence with first term 8 and common difference -3.

The nth terms of an arithmetic sequence is:

[tex]f(n)=a+(n-1)d[/tex], for [tex]n\geq 1[/tex]

Where, a is the first term and d is the common difference.

Putting [tex]a=8,d=-3[/tex], we get

[tex]f(n)=8+(n-1)(-3)[/tex]

[tex]f(n)=8-3(n-1)[/tex]

[tex]f(n)=-3(n-1)+8[/tex], for [tex]n\geq 1[/tex]

Therefore, the correct option is A.

Answer:

800

Step-by-step explanation:

Answer:

116

Step-by-step explanation:

180-28=152

152-36=116

Answer:

D

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{f}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

f = 24

----------------------------------------------------------------

Using the cosine ratio and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{e}{f}[/tex] = [tex]\frac{e}{24}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2e = 24[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

e = 12[tex]\sqrt{3}[/tex]

Answer:

F=24 and e=12[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The value of the trigonometric expression cos(2x)/ [cos(x)-sin(x)] will be cos(x) + sin(x) thus option (C) is correct.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.

As per the given,

cos(2x)/ [cos(x)-sin(x)]

Since, cosx = cos²x - sin²x

cos(2x)/ [cos(x)-sin(x)]  = (cos²x - sin²x)/[cos(x)-sin(x)]

Since, A² - B² = (A + B)(A - B)

(cos²x - sin²x)/[cos(x)-sin(x)] = [cos(x)+sin(x))(cos(x)-sin(x)]/[(cos(x)-sin(x))]

⇒cos(x) + sin(x)

Hence "Trigonometric expression cos(2x)/[cos(x)-sin(x)] value will be sin(x) + cos(x)".

For more information about the trigonometric function,

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Answer:

1

Step-by-step explanation:

So what is slope?

Slope is the change in y over the change in x.

You find the change in y and x when you compare two points on the line.

In this case, lets chose the two points they give us:

(1, -4) and (6, 1)

What is the difference of y? That looks like 5(1+4) or (1--4).

What is the difference of x? That looks like 5(6-1=5)

So we can tell the slope is y/x, or 5/5.

This can simpfly to 1.

So 1 is your slope!

Answer:

Answer is D.

Step-by-step explanation:

The Equation of the Graph is r= 1 + 3 sinФ .

The three crucial trigonometry ratios on which functions are defined are sine, cosine, and tangent. The graphs for the three trigonometric functions sin, cos, and tan are shown below. In these trigonometry graphs, the y-axis represents the value of the function at each given angle, while the x-axis represents the angle values in radians.

here, we have,

Given:

The Graph for each function is Attaches Below.

The graph represented here shows the function r= 1 + 3 sinФ .

The graph for, r= 1 + 3 cos   have the vertical graph.

and, the graph for, r= 2+ 2 sinФ    have the Circular graph.

and, the graph for, r= 3 +  sinФ    have the Circular graph.

Learn more about Graph for Polar Coordinates here:

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ANSWER FOR UR QUESTION!

Graph

Find f(f(x))

Describe the Transformation

Find the Domain of the Composition f(f(x))

Solve for x

Solve the System of Equations

Find the Area Between the Curves

Solve by Graphing

Answer:

Donna will have to pay $12.60 for the roast

Step-by-step explanation:

I found this by doing 5.6 × 2.25 and that equals 12.6

pls mark me brainliest

Answer:

10214.51

Step-by-step explanation:

5900 * (1+ (0.05/12))^(12*11)

please give brainliest

Answer:

10214.51

Step-by-step explanation:

Answer:

The best thing to do here is to put each of these into fractions, with the total (31) as the denominator.

14/31= silver

6/31= black

8/31= copper

3/31= various colours.

As you're looking for the keys that are silver or copper, you've got to add the two denominators together, which gives you 14+8= 22.

This cannot be simplified further, therefore, the probability of choosing either a silver or copper key is 22/31.

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

x=10  3x= 30

Step-by-step explanation:

3x = 30 since the angles are vertical angles

3x/3 = 30/3

x = 10

Answer:

B

Step-by-step explanation:

Set up an equation:

30 = 3x

Divide both sides by 3:

10 = x

x = 10 degrees

Plug the value of x into the angle:

3 × 10

30 degrees

Answer:

A and B

Step-by-step explanation:

A secant is a line which intersects a circle at 2 points

SU and RT both intersect the circle at 2 points and are secants

Answer:its SU

Step-by-step explanation:

ITS THE ONLY CORRECT ANSWER YALL

Answer:

65

Step-by-step explanation:

y = mx + b

b is the y-intercept

y = 5.2h + 65

65 is the y-intercept

Answer:

x = 0   or   x = - 16

Step-by-step explanation:

16+x^2=0

x ( x + 16 ) = 0

using the algebra rule a . b = a = 0 and b = 0

x = 0    or   x = - 16

so the answer is  x = 0 and x = -1 6

Mark brainliest plsssssssssss

Answer:

The length of the hypotenuse is the square root of 169, which in turn is 13.

Step-by-step explanation:

Here we have a right triangle with leg lengths 12 m and 5 m.  Because this is a right triangle, we can apply the Pythagorean Theorem to find the length of the hypotenuse.

The Theorem states that a^2 + b^2 = c^2.  In this particular case,

(12 m)^2 + (5 m)^2 = c^2

which in turn becomes:

144 + 25 = 169.  The length of the hypotenuse is the square root of 169, which in turn is 13.

Answer:

D

Step-by-step explanation:

2f(x+1)-0 = 2f(x+1). The lowest point of the function is (1, 0), which matches up with the equation. No other equation has this coordinate as the lowest point, therefore it can only be D

Answer:

not good destroy body mind effect

Answer:

a) 677,040 b) 17,160

Step-by-step explanation:

a) this is a combinations problem as it deals with selection, rather than order. you can use a calculator to solve this:

there are 65 objects (colors) taken 4 at a time

(see photo)

there are 677,040 possible ways to arrange the boxes.

b) unlike question a, this is a permutation. the order matters.

since Ali can only visit the cities once, you must multiply by decreasing values starting from 13 down to 10 (4 "slots" for the 4 days)

13*12*11*10 = 17,160 possiblities

Answer:

The second option is correct.

Step-by-step explanation:

This is because when multiplied, they all equal the same number.

3*6 = 18

6*3 = 18

9*2 = 18

18*1 = 18

Answer:21

Step-by-step explanation:

Answer:

Im pretty sure its 21

Step-by-step explanation:

21

Im sorry if its wrong

Answer:

54

Step-by-step explanation:

I think it's 54

Answer:

120

Step-by-step explanation:

reduce the fraction from

[tex]48 \times \frac{250}{100 } [/tex]

to

[tex]48 \times \frac{5}{2} [/tex]

then multiply and you get 24 × 5 which is 120

[tex]\huge{ \mathbf{  \underline{ Answer }\:  \:  ✓ }}[/tex]

The sand we need to fill the cylinders is equal to the total volume of the six cylindrical posts .

Given terms ( common for each cylinder ) :

[tex] \large \boxed{ \mathrm{volume =\pi {r}^{2} h}}[/tex]

Since volume of each cylinder is equal, so total volume of six cylindrical post :

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

36 times

Step-by-step explanation:

Given

[tex]Red = 4[/tex]

[tex]Total = 7[/tex]

[tex]n = 63[/tex]

See attachment

Required

Predicted number of times to land on red

First, we calculate the probability of landing on red

[tex]Pr = \frac{Red}{Total}[/tex]

[tex]Pr = \frac{4}{7}[/tex]

The predicted number of red is the =n calculated as:

[tex]Red = Pr * n[/tex]

[tex]Red = \frac{4}{7}*63[/tex]

[tex]Red = 4 * 9[/tex]

[tex]Red = 36[/tex]

Answer:

Hello There!!

Step-by-step explanation:

50% of 52 is 26.

hope this helps,have a great day!!

~Pinky~

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

26 is 50% of 52