Evaluate f(x) when x=-4

Given:

Consider the given terms of the sequence are:

20, 10, 5, ...

To find:

The type of sequence (arithmetic or geometric) and the common difference / ratio in simplest form.

Solution:

We have,

20, 10, 5, ...

Difference between consecutive terms are:

[tex]10-20=-10[/tex]

[tex]5-10=-5[/tex]

Since [tex]-10\neq -5[/tex], therefore the given sequence has no common difference, it means the given sequence is not arithmetic.

Ratio between consecutive terms are:

[tex]\dfrac{10}{20}=\dfrac{1}{2}[/tex]

[tex]\dfrac{5}{10}=\dfrac{1}{2}[/tex]

The given sequence has a common ratio [tex]\dfrac{1}{2}[/tex], it means the given sequence is a geometric sequence.

Therefore, the given sequence is a geometric sequence with common ratio [tex]\dfrac{1}{2}[/tex] it is also written as 0.5.

Answer: 21.2

Step-by-step explanation:

Answer: 22.2

Step-by-step explanation: the other person miss typed

Answer:

the bin 60-69 contain the most data values

Answer:

third option is the right one

Step-by-step explanation:

Answer:

[tex]m\widehat{VU}=120^{\circ}[/tex]

Step-by-step explanation:

The angle [tex]\angle TUV[/tex] forms arc [tex]\widehat{TV}[/tex]. The measure of this arc is twice the measure of angle [tex]\angle TUV[/tex], since [tex]U[/tex] is a point on the circle. Since [tex]\overline{TU}[/tex] forms an arc [tex]\widehat{TU}[/tex], we can set up the following equation:

[tex]\widehat{TV}+\widehat{VU}=\widehat{TU}[/tex].

Since arc TU represents half of a circle and there are 360 degrees in a circle, we can substitute the following values and solve for the measure of arc VU:

[tex]\\2\cdot 30^{\circ}+\widehat{VU}=180^{\circ},\\60^{\circ}+\widehat{VU}=180^{\circ},\\m\widehat{VU}=\boxed{120^{\circ}}[/tex]

Answer:

Rational

Step-by-step explanation:

This number is rational because it can be expressed as a ratio between two numbers.

Answer:

look at the picture I have sent

Answer:

162

Step-by-step explanation:

189-11=178

178-7=171

171-6=165

165-3=162

Answer:

V = 628.4

Step-by-step explanation:

The formula for finding the volume of a square pyramid is V = [tex]a^2 \frac{h}{3}[/tex].

a = base

h = height

V = [tex]11.1^2 (\frac{15.3}{3})[/tex].

V = 628.371

V = 628.4

Answer:

56.6

Step-by-step explanation:

Answer:

Angle A would be 40°

Step-by-step explanation:

The sum of all angles of a triangle is 180° always.

So, the sum of 80° , 11x - 4 and 15x would be 180°

80° + 11x - 4 + 15x = 180°

80 - 4 + 11x + 15x = 180°

76 + 26x = 180

26x = 104

x = [tex]\frac{104}{26}[/tex]

x = 4

Since angle A is 11x - 4, its measure would be

(11 x 4) - 4

44 - 4

40.

Answer:

a) adjacent angles, complementary angles

b) vertical angles, congruent angles

c) supplementary angles, adjacent angles

d) supplementary angles, adjacent angles

Step-by-step explanation:

Adjacent angles are angles that share a common vertex, ( usually angles that are right next to each other )

Complementary angles are angles that form a 90 degree angle  (  right angle )

Supplementary angles are angles that form a straight line

Vertical angles are angles that are vertically aligned with each other ( vertical angles are congruent )

Answer:

Equation: 25.50x ≤ 200

7 video games

Step-by-step explanation:

25.50x ≤ 200

S would be the number of video games

25.50x ≤ 200           Divide both sides by 25.50 to isolate x

x ≤ 7.8...                    

Since he can't buy a fraction of a game, round 7.8 down to get 7 video games

Answer:

17260

Step-by-step explanation:

multiply 14400 by 20%

After that add 14400 and 2880together

and you got the answer

Answer:

The original price would be $17,280

Step-by-step explanation:

14,400× 0.2= 2,880

14,400+ 2,880= 17,280

Answer:

Step-by-step explanation:

Notice that each new term is closer to +1 than was the previous term.  We can conclude tat the sequence converges to 1.

Answer:

Step-by-step explanation:

Are we suppose to solve for something or what there are no instructions

Answer:

[tex]X=6[/tex]

Step-by-step explanation:

From the question we are told that

Length [tex]l=2[/tex]

Height [tex]h=3/2[/tex]

Width [tex]w=1[/tex]

Generally the equation for Volume of the Rectangular prism is mathematically given by

 [tex]v=l*h*w[/tex]

 [tex]v=2*\frac{3}{2}*1[/tex]

 [tex]v=3m^3[/tex]

Therefore the number of half 1/2 inch cube X in v is

 [tex]X=\frac{v}{1/2}[/tex]

 [tex]X=6[/tex]

Answer:

b answer is correct answer

Answer:

The equation is y = x(x-12)

Vertex form

is y = a(x-6)^2 + 4

where a is -1/9

Step-by-step explanation:

For the general equation, we have the roots at x = 0 or x = 12

so we have x and x -12

So we have the equation as;

y = (x-0)(x-12)

y = x(x-12)

y = x^2 - 12x

The vertex form equation of a quadratic equation is;

y = a(x-h)^2 + k

where (h,k) represents the vertex which we have above as (6,4)

So while substituting 6 for h, we have 4 for k

So we have it that;

y = a(x-6)^2 + 4

Substituting 0 for x and 0 for y, we have it that;

0= a(0-6)^2 + 4

0 = 36a + 4

-4 = 36a

a = -4/36

a = -1/9

To solve this problem, we simply need to plot the cosine graph.

The graph of cosine can easily be plotted and we can compare both together.

Kindly check the attached image and we can easily see the graph of

is option A.

Comparing the asymptotes together, it reveals more information on that.

Learn more on graph of cosine here;

https://brainly.com/question/20700450

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Answer:

Step-by-step explanation:

the whole bag is made of 5 orange +4blue+3 green= 12 marbles

P of orange than green = P orange * P green = 5/12 * 3/12 = 15/144 = 5/48

you multiply when the events depend on each other to happen, so for the orange and then green to happen you need the orange and also the green

Answer: C (1.25, 10.25)

Step-by-step explanation:

The ordered pair does not represent a point on the graph of y = 3x2 – x+7 is (1.25,10.25) .

The substitution method is a simple way to solve a system of linear equations algebraically and find the solutions of the variables. As the name suggests, it involves finding the value of x-variable in terms of y-variable from the first equation and then substituting or replacing the value of x-variable in the second equation.

According to the question

y = 3[tex]x^{2}[/tex] – x+7

ordered pair does not represent a point on the graph

For this we will use substitution method and substitute value of x and check whether it satisfy y or not , form options

Option A:  (-1.5,15.25)

x = -1.5

y = 15.25

substituting the value of x in equation

y = 3[tex]x^{2}[/tex] – x+7

y = 3[tex](-1.5)^{2}[/tex] + 1.5 + 7

y = 15.25

This is a point on graph as it satisfy the condition

Option B: (0.5,7.25)

x = 0.5

y = 7.25

substituting the value of x in equation

y = 3[tex]x^{2}[/tex] – x+7

y= 3[tex](0.5)^{2}[/tex]- 0.5 + 7

y = 7.25

This is a point on graph as it satisfy the condition

Option C:   (1.25,10.25)

x = 1.25

y = 10.25

y = 3[tex]x^{2}[/tex] – x+7

substituting the value of x in equation

y = 3[tex](1.25)^{2}[/tex] - 1.25 + 7

y = 10.4375

This is not a point on graph as it does not satisfy the condition

Option D:(2.5,23.25)

x = 2.5

y = 23.25

y = 3[tex]x^{2}[/tex] – x+7

substituting the value of x in equation

y = 3[tex](2.5)^{2}[/tex] - 2.5 + 7

y = 23.25

This is a point on graph as it satisfy the condition

Hence, the ordered pair does not represent a point on the graph of y = 3x2 – x+7 is (1.25,10.25) .

To know more about substitution method here:

https://brainly.com/question/14619835

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Answer:

where's the picture. to the nearest mile...

Step-by-step explanation:

;-;

Answer:

7

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

let the third side be x , then

x² + (4[tex]\sqrt{2}[/tex] )² = 9²

x² + 32 = 81 ( subtract 32 from both sides )

x² = 49 ( take the square root of both sides )

x = [tex]\sqrt{49}[/tex] = 7

Then the third side is 7

Answer:

I think is SSS

Step-by-step explanation:

I haven't had to take geometry yet, but from my understanding, SSS means the all the side have the same ratio in both? They are all the same ration, just dilated to different sizes, so I think its SSS

Answer:

To find the area of a parallelogram, multiply the base by the height.

The formula is: A = B x H where B is the base, H is the height.

Step-by-step explanation:

Answer:

[tex]q=16[/tex]

Step-by-step explanation:

[tex]3(q-7)=27[/tex]

[tex]divide ~both ~sides ~3[/tex]

[tex]q-7=9[/tex]

[tex]move ~ the ~ constant~ and ~change ~the ~sign[/tex]

[tex]q=9+7[/tex]

[tex]q=16[/tex]  ✔︎

༄✫༄✫༄✫༄✫༄✫༄

hope it helps...

have a great day!!

Answer:

c. 137°

Step-by-step explanation:

Answer:

48 :)

Step-by-step explanation:

120 divided by 10 = 12

12 x 4 = 48

Answer:

yo momma

Step-by-step explanation:

ha