Mathematics College

Which functions represent the arithmetic sequence 8, 1.5, –5, –11.5 . . . ? Check all that apply.

f(n) = –6.5n + 14.5
f(n) = –1.5n + 9.5
f(n) = 6.5n + 1.5
f(1) = 8, f(n + 1) = f(n) – 6.5
f(1) = 8, f(n + 1) = f(n) – 1.5
f(1) = 8, f(n + 1) = f(n) + 6.5

Answers

Answer 1
f(n) = -6.5n + 14.5
f(n) = 8, f(n+1) = f(n) -6.5

The first is the explicit definition, the other one is the corresponding recursive definition. In this sequence we can note that the first term f(1) is 8, the f(0) term is 14.5, and the difference d= -6.5.
Answer 2

Answer:

f(n) = –6.5n + 14.5

f(1) = 8, f(n + 1) = f(n) – 6.5

Step-by-step explanation:

The nth term of an arithmetic sequence is given as

Tn = a + (n-1)d

where a is the first term and d is the common difference between two consecutive terms

From the given sequence,

a = 8, d = 1.5 - 8

d = -6.5

As such, Tn = f(n) = 8 + (n-1)-6.5

= 8 - 6.5n + 6.5

= 14.5 - 6.5n

f(1) = 8

f(n + 1) - f(n) = – 6.5

f(n + 1) = f(n) – 6.5

Related Questions

Ken started saving for retirement at age 35 with plans to retire at age 70. He invested an average of $600 per month in various securities, with an average annual return of 5% adjusted for inflation. Assuming monthly compounding, how much has Kent saved at the start of retirement

A: $54,192.18
B: $825,655.45
C: $499,355.18
D: $681,655.46

Answers

The answer is C $499,355.18

What are a) the ratio of the perimeter’s b) and the ratio of areas of the larger figure to the smaller figure?

Answers

did you get the answers?

a) We have been given two similar figures and we have to find ratio of perimeters of these figures.

Let a be given side of larger figure and b be the given side of smaller figure. Let [tex]p_{1} \text{ and } p_{2}[/tex] be the perimeters of two figures and [tex]A_{1} \text{ and } A_{2}[/tex] be the areas of the two figures.

We know that perimeters of two similar figures are in the ratio of corresponding sides.

[tex]\frac{p_{1}}{p_{2}}=\frac{a}{b}[/tex]

We have been given, [tex]a=26\text{ and }b=6[/tex]

Therefore, upon substituting these values in the above equation, we get

[tex]\frac{p_{1}}{p_{2}}=\frac{26}{6}[/tex]

[tex]\frac{p_{1}}{p_{2}}=\frac{13}{3}[/tex]

(b)

Further we know that areas of two similar figures are in the ratio of squares of corresponding sides.

[tex]\frac{A_{1}}{A_{2}}=\frac{a^{2}}{b^{2}}\\ \frac{A_{1}}{A_{2}}=\frac{26^{2}}{6^{2}}\\ \frac{A_{1}}{A_{2}}=\frac{676}{36}\\ \frac{A_{1}}{A_{2}}=\frac{169}{9}\\[/tex]

Therefore, first option is the correct answer.


In a survey conducted in an Office, 60% of the sample respondents agreed that employees should have flexible working hours.
If the margin of error is +-2%, the expected population proportion that wanted flexible working hours is between -------% and------%

Answers

The % margin of error means that the real value is in the range between the mean less the margin error and the mean plus the margin error. This is [ mean - % of error, mean + % of error]. Then, in this case the error of +/- 2% means that the expected population proportion that wants flexible working hours is between 60% - 2% and 60% + 2%, which is between 58% and 62%.

Answer:

Yes, the answer is between 58% and 62%

Step-by-step explanation:

I just did it on Edmentum

an organization surveyed a random sample of their employees about their new vacation policy. Out of the employees surveyed, 83% rated the vacation policy as "delightful" with a margin of error of ±2% and a confidence interval of 95%. What does the margin of error imply?

Answers

Margin of error implies that the number of those who rated the vacation as delightful ranges between 81% (that is, 83-2) and 85% (that is, 83+2) of the population at a 95% confidence interval.

Answer:

Given is:

Out of the employees surveyed, 83% rated the vacation policy as "delightful" with a margin of error of ±2% and a confidence interval of 95%.

±2% means plus 2% from 83% and minus 2% from 83%, making the interval between 81% and 85%.

In general the margin of error tells that, how many percentage points the results will differ from the real population value. A small margin of error shows trustworthy results whereas a large margin of error means the results are not accurate.

Therefore, it can be concluded, with 95% confidence, that between 81% and 85% of all employees will rate the vacation policy as "delightful."

Hey can you please help me posted picture of question

Answers

The correct option is: Option (D) 7

Explanation:
These type of questions can easily be solved using the Venn diagram. Below is the image attached that shows the Venn diagram and the solution. 
THere are seven patrons that dont like any of these coffee drinks

so the answer for your question is D.7

I hope I can show the solution but I cant post the picture right now :(

Hope  Ihelped

The table below shows a correct representation that 15 pounds (lb) of sugar cost $3: lb lb lb lb lb lb lb lb lb lb lb lb lb lb lb $1 $1 $1

Answers

by the way you are saying it the answer would be 0.20

Answer:

true

Step-by-step explanation:

The sum of two numbers is 43 . The larger number is 11 more than the smaller number. What are the numbers

Answers

a- one number
b- second number

a + b = 43 (the sum of two numbers is 43)
(a +11) = b (he larger number is 11 more than the smaller number)

 

so:
a + b = 43
a + (a + 11) = 43
a + a + 11 = 43
2a = 43 - 11
2a = 32
a = 16


now:
a + b = 43
16 + b = 43
b = 43 - 16
b = 27


that is:
a = 16
b = 27

 --------------------------

 checking:

b - a = 11 
27 - 16 = 11 (TRUE)


Q9 Q6.) Write an equation for intersection l₂ that keeps traffic moving.

Answers

The numbers of cars entering the intersection are z and 7. The numbers of cars exiting the intersection are x and 5. To keep traffic moving, ...
  number entering = number exiting
  z + 7 = x + 5

The appropriate selection is ...
  A. z +7 = x +5

at the market,8 apples cost $4.How much do 9 apples cost?

Answers

Divide the price by amount to find out how much each costs. multiply that by 9. 4 (divided by) 8 = .5, or 50cents.  each apple is 50cents. multiply .50 by 9. It costs 4.50. Hope this helps
Hello!

If you divide 8 by 4, it seem that 2 apple costs $1.00. It also seems that whenever there is an odd number of apples, the cost of those apples have a cent count of 0.50 cents. So if 8 apples are $4.00, then I believe that 9 apples are $4.50.

I hope this helps!

#1. if i have a circle with a radius of 6 in and it is cut into 8 equal slices (like a pie) and the coordinates are (8, 5) then what is the central angle, what is the measure of the arc that 2 pieces together would intercept, and the equation that represents as well as the circumference?

I also need the same answers for these:

#2. radius 10 inches, 14 equal pieces, and points of (3, 7)

#3. radius 25 cm, 16 pieces and 14 and 53

#4. radius 12 inches, 8 pieces and points of (2, 5)

#5. radius 4 inches, 12 equal pieces, and points of (3, 6)

Answers

part 1)
coordinates of the center (8,5)
radius=6 in
is cut into 8 equal slices-----> 360°/8-----> 45° each slice
a) equation of a circumference
(x-h)²+(y-k)²=r²--------> (x-8)²+(y-5)²=6²

b) circumference=2*pi*r-----> 2*pi*6---> 37.68 in
if 360° (full circle) has a length of---------> 37.68 in
 90° (2 pieces together)---------> x
x=90*37.68/360-----> x=9.42 in

the measure of the arc that 2 pieces together would intercept is 9.42 in

c)  The central angle of one slice is 45 degrees

Part 2)
coordinates of the center (3,7)
radius=10 in
is cut into 14 equal slices-----> 360°/14-----> 25.71° each slice
a) equation of a circumference
(x-h)²+(y-k)²=r²--------> (x-3)²+(y-7)²=10²

b) circumference=2*pi*r-----> 2*pi*10---> 62.8 in
if 360° (full circle) has a length of---------> 62.8 in
 51.42° (2 pieces together)---------> x
x=51.42*62.8/360-----> x=8.97 in

the measure of the arc that 2 pieces together would intercept is 8.97 in

c)  The central angle of one slice is 25.71 degrees

Part 3)
coordinates of the center (14,53)
radius=25 cm
is cut into 16 equal slices-----> 360°/16-----> 22.5° each slice
a) equation of a circumference
(x-h)²+(y-k)²=r²--------> (x-14)²+(y-53)²=25²

b) circumference=2*pi*r-----> 2*pi*25---> 157 cm
if 360° (full circle) has a length of---------> 157 cm
 45° (2 pieces together)---------> x
x=45*157/360-----> x=19.63 cm

the measure of the arc that 2 pieces together would intercept is 19.63 cm

c)  The central angle of one slice is 22.5 degrees

Part 4)
coordinates of the center (2,5)
radius=12 in
is cut into 8 equal slices-----> 360°/8-----> 45° each slice
a) equation of a circumference
(x-h)²+(y-k)²=r²--------> (x-2)²+(y-5)²=12²

b) circumference=2*pi*r-----> 2*pi*12---> 75.36 in
if 360° (full circle) has a length of---------> 75.36 in
 90° (2 pieces together)---------> x
x=90*75.36/360-----> x=18.84 in

the measure of the arc that 2 pieces together would intercept is 18.84 in

c)  The central angle of one slice is 45 degrees

Part 5)
coordinates of the center (3,6)
radius=4 in
is cut into 12 equal slices-----> 360°/12-----> 30° each slice
a) equation of a circumference
(x-h)²+(y-k)²=r²--------> (x-3)²+(y-6)²=4²

b) circumference=2*pi*r-----> 2*pi*4---> 25.12 in
if 360° (full circle) has a length of---------> 25.12 in
 60° (2 pieces together)---------> x
x=60*25.12/360-----> x=4.19 in

the measure of the arc that 2 pieces together would intercept is 4.19 in

c)  The central angle of one slice is 30 degrees


A rubber ball dropped on a hard surface takes a sequence of bounces, each one 4/5 as high as the preceding one. If this ball is dropped from a height of 10 feet, what is the total vertical distance it has traveled at the time when it hits the surface for its fifth bounce?
A) 28 77/125 feet
B) 49 1/25 feet
C) 57 29/125 feet
D) 59 29/125 feet

Answers

Answer:

The answer is 57 29/125 feet ⇒ answer (C)

Step-by-step explanation:

∵ The ball dropped from a height 10 feet

∴ The vertical distance = 10 feet

∵ It bounces 4/5 as high as the preceding one

∴ 1st bounce = 10 × 4/5 = 8 (move down another 8)

∴ The vertical distance = 8 + 8 = 16 feet

∴ 2nd bounce = 8 × 4/5 = 6.4 (move down another 6.4)

∴ The vertical distance = 6.4 + 6.4 = 12.8 feet

∴ 3rd bounce = 6.4 × 4/5 = 5.12 (move down another 5.12)

∴ The vertical distance = 5.12 + 5.12 = 10.24 feet

∴ 4th bounce = 5.12 × 4/5 = 4.096 (move down another 4.096)

∴ The vertical distance = 4.096 + 4.096 = 8.192 feet

∵ The ball will hit the surface to make the 5th bounce

∴ The total vertical distance is :

   10 + 16 + 12.8 + 10.24 + 8.192 = 57.232 = 57 29/125

Another way:

* We can use the formula of geometric sequence with

  1st bounce distance (a) = 8 + 8 = 16 and ratio (r) = 4/5

  and number of bounces (n) = 4 (hit the surface for its 5th bounce)

∵ [tex]S_{n}=\frac{a(1-(r^{n}))}{1-r}[/tex]

∴ [tex]S_{4}=\frac{16(1-(\frac{4}{5})^{4})}{1-\frac{4}{5}}=47\frac{29}{125}[/tex]

* Then we must to add the 10 feet

  (the ball dropped from height 10 feet)

∴ The total vertical distance = 10 + 47 29/125 = 57 29/125 feet

-1+7n
A. Quadratic monomial
B. Quadratic trinomial
C. Linear binomial
D. fifth degree binomial
E. none

Answers

-1+7n 
A. Quadratic monomial
B. Quadratic trinomial
C. Linear binomial
D. fifth degree binomial
E. none

The correct answer is:

C. Linear binomial

Linear binomial is a polynomial of the first degree: ax+ b. If to divide a polynomial, containing a letter x, by a linear binomial x – b, where b is a number ( positive or negative ), then a remainder will be a polynomial only of zero degree, i.e. some number N , which can be found without finding a quotient.

If you roll a fair six-sided die and a fair four-sided die, what is the probability that neither die shows a 1?

Answers

Answer in fraction form: 5/8
Answer in decimal form: 0.625

==============================================

Explanation:

There are 5 sides that aren't labeled "1" out of 6 total. So the probability of not rolling a "1" on the six-sided die is 5/6

Similarly, there are 3 sides that aren't labeled "1" out of 4 sides on the four-sided die. The probability of not rolling a "1" for this die is 3/4

Multiply the fractions
(5/6)*(3/4) = (5*3)/(6*4) = 15/24 = 5/8

The answer in fraction form is 5/8 which converts to 0.625 (use long division or a calculator)

Note: the multiplication of probabilities works because the two events (of rolling each die) are independent

suppose you toss a fair coin and roll a fair six-sided die. What is the probability your actions result in tails on the coin and 3 on the die

Answers

mines 3 to 6 and use 2 power

Your salary is $25,000 you just received a 2.5% pay increase for the year. What is your new salary?

Answers

Hey there!

Here is your answer:

The proper answer to this question is "$25,625".

Reason:

In order to add a 2.5% increase on a pay check you have to multiply 25,000 by 1.025.....

25,000×1.025=$25,625

Therefore my new salary is $25,625!

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Minimze the product of a positive rational number and a negative rational number, given that the positive number is exactly 8 greater than the negative number. what is the final product?

Answers

If we let x represent the negative rational number, then the product is
  x(x+8)
This describes an upward-opening parabola whose vertex is (-4, -16).

The numbers are -4 and +4, and the final product is -16.

write in short; × + 2× + 13×

Answers

The distributive property applies.
  x + 2x + 13x = (1 + 2 + 13)x = 16x

A bookstore costs $75 a day to keep open, and it spends $11 for each book that it sells. If each book sells for $16, what is the break-even point for this bookstore?

Answers

In order for the bookstore to continue its business, it should sell at least 15 books to meet its $75 cost. For the computation:The formula for solving the breakeven point (BEP) is:Fixed Cost / (Selling Price - Variable Cost) = BEPFixed Cost is the cost that remains constant whether the services provided or products sold increases or decreases.Variable Cost is the cost that varies or differs in proportion to the products or services produced, whether they increased or decreased. In the problem, the Fixed cost is 75 and the variable cost is 11, and lastly, the selling price is 16.To substitute the given to the problem:75 / (16 - 11) = 15

Answer:c=11n+75

Step-by-step explanation:

You help build a new play center at a daycare. The play center has a tunnel for the children to climb through. You are painting the outside of the tunnel. Find the approximate surface area of the outside of the tunnel so you know how much area you need to paint. Use 3.14 to approximate pi.

Answers

To answer your question, I need to know the radius or diameter and the height of the object

hey can you please help me posted picture of question

Answers

Considering the function: G(x)= 4-x^4

Graph using selected points:
\Falls to the left and falls to the right:

x              y
-2            -12
-1            3
0             4
1             3
2            -12

Then plot the points given:
See attached picture:

As observed in the provided picture, the graph shows that the function G(x)= 4-x^4 has the same graph in the given problem.
If you observe the two graphs, the graph of G(x) is shifted vertically up by 1 unit as compared to F(x).

So the relation between two graphs can be written as:

G(x) = F(x) + 1

Using the value of F(x), we get:

G(x) = 3 - x⁴ + 1

So,

G(x) = 4 - x⁴

Thus, option A gives the correct answer.

identify the slope and Y- intercept of the graph of the equation.Then graph the equation, Y = - 5/4X + 1

Answers

The solution is as shown in the figure.

The slope = -5/4

A rectangular prism has a volume of 96ft3. The area of the base is 24ft2. What is thw height of the prism? answer soon please

Answers

96/24=4
The height is 4ft.

Jordan worked out at a gym for 2 hours. His workout consisted of stretching for 21 minutes, jogging for 45 minutes, and lifting weights for the remaining amount of time. What percentage of Jordan’s workout was spent lifting weights?

Answers

2 hours is equivalent to 120 minutes.  21+45 is 66.  So he spent 66 minutes not lifting weights, and 54 minutes lifting weights.  54/120 would be equivalent to 45%.  So he spent 45% of his workout lifting weights.  Hope this helps!! 

A marble is drawn at random first from a jar containing four black and four white marbles, and then from a jar containing six black and two white marbles. What is the probability of drawing two black marbles?

Answers

[tex] |\Omega|=8\cdot8=64\\
|A|=4\cdot6=24\\\\
P(A)=\dfrac{24}{64}=\dfrac{3}{8}=37.5\% [/tex]

Answer:

the answer is 37.5% Hope this helps!

what is sqrt p^5 q^10 expressed in simplified form?

Answers

The simplified form of the expression [tex]\sqrt{p^5q^{10}}[/tex] is p²q⁵√p, obtained by separating and simplifying the square roots of the individual factors.

The expression [tex]\sqrt{p^5q^{10}}[/tex] can be simplified by separating the square roots of the individual factors and simplifying each one individually.

First, let's rewrite the square root of the entire expression:

[tex]\sqrt{p^5}[/tex] = p²√p because we are taking the square root of p to the fifth power which results in p squared and the square root of p remaining.[tex]\sqrt{q^{10}}[/tex] = q⁵ because q to the tenth power is a perfect square, and taking the square root gives us q to the fifth power.

Therefore, the simplified form of [tex]\sqrt{p^5q^{10}}[/tex] is p²q⁵√p.

8x+6=5x+9
[tex]8x + 6 = 5x + 9[/tex]

Answers

First step is to get variables on one side and constants on the other so that we can combine like terms. To do so, subtract 5x from both sides and subtract 6 from both sides. This gives you:

8x - 5x = 9 - 6

Now combine like terms:

3x = 3

Divide by 3 to isolate the variable x.

x = 1

Final answer:

To solve the equation 8x + 6 = 5x + 9, subtract 5x from both sides to get 3x + 6 = 9, then subtract 6 from both sides to get 3x = 3. Finally, divide by 3 to find x = 1.

Explanation:

The equation given is 8x + 6 = 5x + 9. To solve for x, you first want to get all terms containing x on one side and the constants on the other. This is achieved through the use of addition or subtraction. From LibreTexts™, we know that addition or subtraction of the same number on both sides of an equation maintains equality. So, subtract 5x from both sides:

8x + 6 - 5x = 5x + 9 - 5x

3x + 6 = 9

Next, you subtract 6 from both sides to isolate the x term:

3x + 6 - 6 = 9 - 6

3x = 3

Now, you divide both sides by 3, a step also indicated by LibreTexts™ as multiplication or division by the same number maintains the equation's balance:

3x / 3 = 3 / 3

x = 1

The solution to the equation is x = 1.

2,5,11,20 32,47 what is the next number in the series

Answers

it is easy 2,  5, 11,   20,  32,  47,   65
              +3,+6, +9,+12,+15,+18, +21, 

The next number in the series is 65. To identify the pattern in the given series and find the next number, let's look at the differences between consecutive terms.

5 - 2 = 3

11 - 5 = 6

20 - 11 = 9

32 - 20 = 12

47 - 32 = 15

As we observe, the differences between consecutive terms are increasing by 3 each time. So, to find the next difference, we add 3 to the last difference:

15 + 3 = 18

Now, to find the next number in the series, we add this difference to the last number in the series:

47 + 18 = 65

Therefore, the next number in the series is 65.

To know more about series:

https://brainly.com/question/30241975

#SPJ6

Simplify
cosx ( tanx+cotx)

Answers

The first step to solving this is to use tan(t) = [tex] \frac{sin(t)}{cos(t)} [/tex] to transform this expression.
cos(x) × [tex]( \frac{sin(x)}{cos(x)} + cot(x) )[/tex]
Using cot(t) = [tex] \frac{cos(x)}{sin(x)} [/tex],, transform the expression again.
cos(x) × [tex]( \frac{sin(x)}{cos(x)} + \frac{cos(x)}{sin(x)} )[/tex]
Next you need to write all numerators above the least common denominator (cos(x)sin(x)).
cos(x) × [tex] \frac{sin(x)^{2} + cos(x)^{2} }{cos(x)sin(x)} [/tex]
Using sin(t)² + cos(t)² = 1,, simplify the expression. 
cos(x) × [tex] \frac{1}{cos(x)sin(x)} [/tex]
Reduce the expression with cos(x).
[tex] \frac{1}{sin(x)} [/tex]
Lastly,, use [tex] \frac{1}{sin(t)} [/tex] = csc(t) to transform the expression and find your final answer.
csc(x)
This means that the final answer to this expression is csc(x).
Let me know if you have any further questions.
:)

Final answer:

The expression cosx (tanx+cotx) simplifies to sinx+cosx by using trigonometric identities and recognizing that tanx and cotx can be expressed in terms of sinx and cosx, allowing terms to cancel out.

Explanation:

To simplify the expression cosx (tanx+cotx), we need to use trigonometric identities. Recall that tanx = sinx/cosx, and cotx = cosx/sinx. Therefore, when we multiply cosx by tanx, the cosx in the numerator and denominator will cancel out, leaving us with sinx. Similarly, when we multiply cosx by cotx, sinx in the numerator and denominator will cancel out, leaving us with cosx.

So the simplification process will look like this:

cosx * tanx = sinx

cosx * cotx = cosx

Thus, cosx (tanx+cotx) = sinx+cosx.

This is the simplified form of the expression given. It's important to remember that trigonometric identities are a powerful tool in simplifying expressions involving trigonometric functions.

Let f(x) = -6x + 3 and g(x) = 5x + 4. Find f*g and state its domain.

-18x2 - 39x + 20; all real numbers except x = 1

-30x2 - 9x + 12; all real numbers

-18x2 - 39x + 20; all real numbers

-30x2 - 9x + 12; all real numbers except x = 4

Answers

1- getting f*g:
We are given that:
f (x) = -6x + 3
g (x) = 5x + 4
To get f*g, we will simply multiply the two functions as follows:
f (x) * g (x) = (-6x+3)(5x+4)
f (x) * g (x) = -30x² - 24x + 15x + 12
f (x) *  g (x) = -30x² - 9x + 12

2- getting the domain:
The domain is all the values of x that can be used in the given equation.
In the equation calculated from part 1, we can note that all real numbers can be considered as the domain.

Hope this helps :)

what is the median number for the numbers 4,8,10,5,9?

Answers

Hey there!

The median is the number in the middle when the numbers go from least to greatest. This would be 4, 5, 8, 9, 10. The middle number would be 8. A way to find the middle number is to mark off the end number on the right and left side until you are left with 1 number. If you are left with 2, add the numbers up and divide. The answer to this is 8.

I hope this helps!

Hello There!

Median: The middle number when all the numbers are listed in oder from least to greatest.

To find the median, place the numbers in order from least to greatest.

In this case, the numbers would be 4, 5, 8, 9, 10

The middle number would be 8 so the median for this set of numbers is 8.

Other Questions
This is a simple sugar that provides energy to organisms The human immunodeficiency virus (hiv) that causes the disease known as aids selectively infects ________ cells. How is the graph of y= 1/3x related to its parent function y=1/x Nadine was giving a speech at the main intersection of campus, trying to get students to vote for her candidate for state senate. her speech was very passionate and emotional. what type of arguments might she have been using? what does it mean when the united states is described as an interest group state Which is part of the theory of evolution by natural selection apex? Ydrogen and fluorine combine according to the equation h2(g) + f2(g) 2 hf(g) if 5.00 g of hydrogen gas are combined with 38.0 g of fluorine gas, the maximum mass of hydrogen fluoride that could be produced is Which of these has a warming effect on earth ? A. More evaporation of water due to warmer temperature causes low, thick clouds to form. B. As snow and ice melts, the underlying surfaces absorbs more solar radiation C. Earths ocean absorbs carbon dioxide from the atmosphere D. Rising carbon dioxide levels spur plant growth cause increase carbon dioxide absorption What does the author of Wonderful Things utilize most in the sub-headings used for chunking the text? catchy phrases topics of study quotations from the text chapter titles Why is gallbladder positioned so closely to the liver in frog? Which suffix changes the meaning of memory to to commit to memory? -ize -able -al -ies If omni means "all" and potent means "power," what is the best definition of omnipotent? Social integration promotes a student's dedication to a national identity. a. True b. False Which of the following is an example of using nonverbal communication to complement verbal communication?a. clapping after a performance, yelling/cheering during a sporting event b. holding up a hand to indicate you do not wish to be interrupted or to stop communication c. smiling while recounting an experience you found amusing d. crossing fingers to indicate lying What is the place value of the digit 4 in 6,296.04 How does a mirror affect the path of light? Light rays strike a mirror in a perpendicular direction.Light rays strike a mirror in a perpendicular direction. Light rays travel in a direction parallel to a mirror. Light rays approach a mirror in a straight line and then reverse direction. Light rays change direction when they hit a mirror. Naphthylamine is a carcinogen compound found in cigarette smoke. it chemical modifies dna, distorting the dna helix. what cellular mechanism would you expect to be involved in fixing dna damaged by naphthylamine The ____ data type can store up to a gigabyte of text. Which of the following issues is not an environmental challenge facing the people of the Middle East today?A. water scarcity B. freezing temperatures C. limited food production D. dust storms How do members of different ethnic groups in West and Central Africa communicate?A.) Sign language helps people of different ethnicities communicate.B.) Members of different ethnic groups do not communicate.C.) Those of different ethnic groups must find an interpreter.D.) Most people of these regions have the ability to speak several languages.