What is the next term of the geometric sequence? 1, 2, 4, 8, 16,

Answers

Answer 1

Answer: 32

Step-by-step explanation:

Answer 2
32 because 16 plus 16 is 32

Related Questions

una pelota se mueve con movimiento uniforme con una velocidad de 0,25 km/seg calcular la distancia que recorre si tarda en llegar en 5 segundos

Answers

La respuesta correcta es 1.25 km

Explicación:

En general, la distancia que recorre un cuerpo es igual a su velocidad multiplicada por el tiempo que dura el movimiento. Es decir que la formula general es d (distancia) = v (velocidad) x t (tiempo). En este caso sabemos que la velocidad es 0,25 km/seg y el tiempo es 5 segundos. Es decir que la distancia es igual a 0,25 km/seg x 5 seg = 1. 25 kilómetros. De acuerdo a lo anterior la distancia que recorre la pelota es de 1.25 kilómetros.

what is the slope of the line described by the equation below? Y=-x+8

Answers

Answer:

The slope of line is -1.

Step-by-step explanation:

This equation is in the form Y=mx+b form, where m is the slope of the line. in this equation, -1 is m.

How do you write in decimals eight and three tenths

Answers

Answer:

8.3

Step-by-step explanation:

Find the sum of the cubes of first three composite numbers.

Answers

Answer:

792

Step-by-step explanation:

The first three composite numbers are 4,  6 ,8

so 4^3+6^3+8^3=64+216+512=792

Ten thousand raffle tickets are sold for $1 each. One first prize of $2000, 4 second prizes of $700 each, and 8 third prizes of $300 each are to be awarded, with all winners selected randomly. If you purchase one ticket, what are your expected winnings? 132 cents -$0.28 72 cents -$0.88

Answers

Answer:

72 cents.

Step-by-step explanation:

The expected winnings is the amount times the probability that you will get that amount.

2,000 * (1/10,000) = 2,000 / 10,000 = 2 / 10 = 0.2.

700 * (4 / 10,000) = 2,800 / 10,000 = 28 / 100 = 0.28.

300 * (8 / 10,000) = 2,400 / 10,000 = 24 / 100 = 0.24.

0.2 + 0.28 + 0.24 = 0.72.

Hope this helps!

a hardware store ordered cartons of hammers at 100$ per carton and cartons wrenches at 150$ per carton if there were a total of 25 cartons in this order And the total cost of the order was 3,000$ how many cartons of hammers were ordered

Answers

Answer:

15 cartons of Hammers were ordered

Step-by-step explanation:

Cost per carton of Hammer  = $100

Cost per carton of Wrenches = $150

Total Carton = 25

Total Cost = $3,000

Required

Determine the numbers of Hammer and Wrenches

Represent the hammers with H and the wrenches with W

So;

[tex]H + W = 25[/tex]

and

[tex]100H + 150W = 3000[/tex]

Make W the subject of formula in the first equation:

[tex]H + W = 25[/tex]

[tex]W = 25 - H[/tex]

Substitute 25 - H for W in the second equation

[tex]100H + 150(25 - H) = 3000[/tex]

[tex]100H + 3750 - 150H = 3000[/tex]

Collect Like Terms

[tex]100H - 150H = 3000 - 3750[/tex]

[tex]-50H = -750[/tex]

Divide both sides by -50

[tex]\frac{-50H}{=50} = \frac{-750}{-50}[/tex]

[tex]H = \frac{-750}{-50}[/tex]

[tex]H = 15[/tex]

Hence, 15 cartons of Hammers were ordered

Construct the confidence interval for the population mean mu. c = 0.90​, x = 16.9​, s = 9.0​, and n = 45. A 90​% confidence interval for mu is:______.

Answers

Answer:

The  90%  confidence interval for population mean is   [tex]14.7 < \mu < 19.1[/tex]

Step-by-step explanation:

From the question we are told that

   The sample mean is  [tex]\= x = 16.9[/tex]

    The confidence level is  [tex]C = 0.90[/tex]

     The sample size is  [tex]n = 45[/tex]

     The standard deviation

Now given that the confidence level is  0.90 the  level of significance is mathematically evaluated as

       [tex]\alpha = 1-0.90[/tex]

       [tex]\alpha = 0.10[/tex]

Next we obtain the critical value of  [tex]\frac{\alpha }{2}[/tex]  from the standardized normal distribution table. The values is  [tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]

The  reason we are obtaining critical values for [tex]\frac{\alpha }{2}[/tex]  instead of  that of  [tex]\alpha[/tex]  is because [tex]\alpha[/tex]  represents the area under the normal curve where the confidence level 1 - [tex]\alpha[/tex] (90%)  did not cover which include both the left and right tail while [tex]\frac{\alpha }{2}[/tex]  is just considering the area of one tail which is what we required calculate the margin of error

  Generally the margin of error is mathematically evaluated as

        [tex]MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]

substituting values

         [tex]MOE = 1.645* \frac{ 9 }{\sqrt{45} }[/tex]

         [tex]MOE = 2.207[/tex]

The  90%  confidence level interval is mathematically represented as

      [tex]\= x - MOE < \mu < \= x + MOE[/tex]

substituting values

     [tex]16.9 - 2.207 < \mu < 16.9 + 2.207[/tex]

    [tex]16.9 - 2.207 < \mu < 16.9 + 2.207[/tex]

     [tex]14.7 < \mu < 19.1[/tex]

         

Suppose a college student pays $750 for tuition fees. However, she also has to pay $300 for her textbooks (ouch!). What percent of her total education costs does she pay for her books?

Answers

Answer:

Total costs = $700 + $300 = $1000.

 $300 / $1000 = 0.3 = 3%

Step-by-step explanation:

The time it takes to travel from home to the office is normally distributed with μ = 25 minutes and σ = 5 minutes. What is the probability the trip takes more than 40 minutes?

Answers

Answer:

The probability is  [tex]P(X > x) = 0.0013499[/tex]

Step-by-step explanation:

From the question we are told that

     The mean is  [tex]\mu = 25[/tex]

      The standard deviation is [tex]\sigma = 5 \ minutes[/tex]

      The random number  [tex]x = 40[/tex]

Given that the time taken is  normally distributed  the probability is mathematically represented as

     [tex]P(X > x) = P[\frac{X -\mu}{\sigma } > \frac{x -\mu}{\sigma } ][/tex]

Generally the z-score for the normally distributed data set is mathematically represented as

        [tex]z = \frac{X - \mu}{\sigma }[/tex]

So  

     [tex]P(X > x) = P[Z > \frac{40 -25}{5 } ][/tex]

    [tex]P(X > x) = 0.0013499[/tex]

This value is obtained from the z-table

In the following exercises, find the greatest common factor.


15y3, 21y2, 30y


Answers

Answer:

3y

Step-by-step explanation:

each term has at least y^1

each term's coeficient is a factor of 3

3y(5y^2, 7y, 10)

3y is the GCF

Let C be the curve given parametrically by r(t) = ⟨t + 3, 4 − 2t⟩, t : 1 → 2; if f(x, y) = 2x + 4y, the value of ∫C f(x, y) ds is?
A. 0
B. 13√5 5
C. 4√5 5
D. 26√5 5
E. 22√5

Answers

Replace x and y with the corresponding components of r(t), where

[tex]\mathbf r(t)=\langle x(t),y(t)\rangle=\langlet+3,4-2t\rangle[/tex]

We have

[tex]\displaystyle\int_Cf(x,y)\,\mathrm ds=\int_1^2f(x(t),y(t))\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt[/tex]

[tex]=\displaystyle\int_1^2(2(t+3)+4(4-2t))\sqrt{1^2+(-2)^2}\,\mathrm dt[/tex]

[tex]=\displaystyle\sqrt5\int_1^2(22-6t)\,\mathrm dt[/tex]

[tex]=\sqrt5(22t-3t^2)\bigg|_1^2=\boxed{13\sqrt5}[/tex]

I'm tempted to say the answer is B, but it doesn't seem to match up exactly. It's possible that choice contains a typo.

In a certain state, license plates each consist of 2 letters followed by either 3 or 4 digits. How many differen license plates are there that have no repeated letters or digits?

Answers

Answer:

26 × 26 × 10 × 10 × 10 = 676 , 000  possibilities

Step-by-step explanation:

There is nothing stating that the letters and numbers can't be repeated, so all  26  letters of the alphabet and all  10

digits can be used again.

If the first is A, we have  26  possibilities:

AA, AB, AC,AD,AE ...................................... AW, AX, AY, AZ.

If the first is B, we have  26  possibilities:

BA, BB, BC, BD, BE .........................................BW, BX,BY,BZ

And so on for every letter of the alphabet.  There are  26  choices for the  first letter and  26  choices for the second letter. The number of different combinations of  2  letters is: 26 × 26 = 676

The same applies for the three digits. There are  10  choices for the first,  10

for the second and  10  for the third:

10 × 10 × 10 = 1000  

So for a license plate which has  2  letters and  3  digits, there are:  26 × 26 ×  10 × 10 × 10 = 676 , 000  possibilities.

Hope this helps.

A college financial advisor wants to estimate the mean cost of textbooks per quarter for students at the college. For the estimate to be useful, it should have a margin of error of 20 dollars or less. The standard deviation of prices is estimated to be around 100 dollars. How large of a sample size needs to be used to be 95% confident, with the given margin of error?

Answers

Answer:

minimum sample size = 97

Step-by-step explanation:

Margin of error = 20

standard deviation = 100

sample size = n

standard error = 100/sqrt(n)

confidence level, alpha = 95%

Using the standard rule for 95% confidence

standard error <= sample mean [tex]\pm[/tex] 1.96 standard error, or

20 <= 1.96*100 / sqrt(n)

n >= (1.96*100/20)^2 = 9.8^2 = 96.04  

=>

n >= 97

Anyone got the answer to this? Ik it’s prob easy but I’m just not seeing it

Answers

Answer:

y ≤0

Step-by-step explanation:

y =- x^2

x^2 is always positive or 0

Make this negative

- x^2 is negative or 0

The range is negative or 0

y ≤0

Answer:

Step-by-step explanation:

y=-x^2

the range is(-∞,0]

y≤ 0 ( since the coefficient  a is negative it is open downward)

In randomized, double-blind clinical trials of Prevnar, infants were randomly divided into two groups. Subjects in group 1 received Prevnar, while subjects in group 2 received a control vaccine. Aft er the second dose, 137 of 452 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 31 of 99 subjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggest that a lower proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the αα=0.05 level of significance?

Answers

Answer:

Step-by-step explanation:

From the summary of the given data;

After the second dose, 137 of 452 subjects in the experimental group (group 1) experienced drowsiness as a side effect.

Let consider [tex]p_1[/tex] to be the probability of those that experience the drowsiness in group 1

[tex]p_1[/tex] = [tex]\dfrac{137}{452}[/tex]

[tex]p_1[/tex] = 0.3031

After the second dose, 31 of 99 subjects in the control group (group 2) experienced drowsiness as a side effect.

Let consider [tex]p_2[/tex] to be the probability of those that experience the drowsiness in group 1

[tex]p_2[/tex] = [tex]\dfrac{31}{99}[/tex]

[tex]p_2[/tex] = 0.3131

The objective is to be able to determine if the evidence suggest that a lower proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the α=0.05 level of significance.

In order to do that; we have to state the null and alternative hypothesis; carry out our test statistics and make conclusion based on it.

So; the null and the  alternative hypothesis can be computed as:

[tex]H_o :p_1 =p_2[/tex]

[tex]H_a= p_1<p_2[/tex]

The test statistics is computed as follows:

[tex]Z = \dfrac{p_1-p_2}{\sqrt{p_1 *\dfrac{1-p_1}{n_1} +p_2 *\dfrac{1-p_2}{n_2}} }[/tex]

[tex]Z = \dfrac{0.3031-0.3131}{\sqrt{0.3031 *\dfrac{1-0.3031}{452} +0.3131 *\dfrac{1-0.3131}{99}} }[/tex]

[tex]Z = \dfrac{-0.01}{\sqrt{0.3031 *\dfrac{0.6969}{452} +0.3131 *\dfrac{0.6869}{99}} }[/tex]

[tex]Z = \dfrac{-0.01}{\sqrt{0.3031 *0.0015418 +0.3131 *0.0069384} }[/tex]

[tex]Z = \dfrac{-0.01}{\sqrt{4.6731958*10^{-4}+0.00217241304} }[/tex]

[tex]Z = \dfrac{-0.01}{0.051378 }[/tex]

Z = - 0.1946

At the level of significance ∝ = 0.05

From the standard normal table;

the critical value for Z(0.05) = -1.645

Decision Rule: Reject the null hypothesis if Z-value is lesser than the critical value.

Conclusion: We do not reject the null hypothesis because the Z value is greater than the critical value. Therefore, we cannot conclude that a lower proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2

PLEASE HELP ASAP. Drag each tile to the correct box

Answers

Answer:

3 <1<4<2

hope it worked

pls mark me as

BRAINLIEST

plss

Answer:

3>1>2>4

Step-by-step explanation:

simplify 2.5a–7–6.8a+11.1

Answers

Answer:

-4.3a + 4.1

Step-by-step explanation:

Well in the given expression,

2.5a - 7 - 6.8a + 11.1

We need to combine like terms,

2.5a + -6.8a = -4.3a

-7 + 11.1 = 4.1

Ans: -4.3a + 4.1

Thus,

the answer is -4.3a + 4.1

Hope this helps :)

The simplification form of given expression is -4.3a + 4.1

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

The given expression,

⇒ 2.5a - 7 - 6.8a + 11.1

Combine like terms in expression,

⇒ 2.5a  - 6.8a + 11.1- 7

Apply the arithmetic operations

⇒ -4.3a + 4.1

Hence, the simplification form of given expression is -4.3a + 4.1

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ5

t-7= -1 what is t in this equation

Answers

Answer:

t=6

Step-by-step explanation:

t-7=-1

6-7=-1

t - 7 = -1

t = 7 -1

t = 6

t is equals 6

find the equation of a straight line joining the points (6,9) and (4,7). Please help im bad at mathematic :( and please do a calculation too.

Answers

Answer:

y = x+3

Step-by-step explanation:

First step is to find the slope

m = ( y2-y1)/(x2-x1)

   = ( 7-9)/(4 - 6)

   = -2 / -2

  = 1

The we can put is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 1x+b

Putting in one of the points

9 = 1*6+b

Subtracting 6

9-6 = b

3=b

y = 1x+3

y = x+3

Answer:

[tex]\boxed{y=x+3}[/tex]

Step-by-step explanation:

Solve for slope first.

The slope can be found through 2 points.

[tex]slope=\frac{change \: in \: y}{change \: in \: x}[/tex]

[tex]slope=\frac{7-9}{4-6}[/tex]

[tex]slope=\frac{-2}{-2}[/tex]

[tex]slope=1[/tex]

Using slope-intercept form.

[tex]y=mx+b\\m=slope\\b=y \: intercept[/tex]

[tex]y=1x+b[/tex]

Let x = 6 and y = 9.

[tex]9=1(6)+b[/tex]

[tex]9-6=b[/tex]

[tex]3=b[/tex]

[tex]y=1x+3[/tex]

Bethany has $3.10 in nickels and dimes. She has a total of 44 coins. What is the value of the nickels Bethany has?

Answers

Answer:

$1.30. Is the answer to your question

Below will be the steps! :)

Step-by-step explanation:

So we know that a nickel is 5 cents and a dime is 10 cents.

Information given:

She has 3.10 in nickels and dimes.

Also in total she has 44 coins

_______________________________________________

In my calculations, there should be 18 dimes and 26 nickels

(44-18 will give you 26.... note:she has 44 coins in total)

When we multiply 26x0.05 we will get 1.30

⭐️So the answer is $1.30.⭐️

Hope this helps!

Answer:

Total value of nickels = $1.30

Step-by-step explanation:

let the number of nickels ($0.05) be "n" and the number of dimes ($0.10) be "d"

given that the total number of coins is 44, we can write :

number of nickels + number of dimes = 44 coins, or

n + d = 44  (rearranging this)

d = 44 - n --------> (eq 1)

we are also given that the total value of coins she has is $3.10.

Hence we can also write:

total value of nickels + total value of dimes = $3.10   ---------> (eq 2)

we know that the total value of nickels is the value of each nickel x number of nickels = $0.05n

Similarly, the total value of dimes is the value of each dime x number of dimes  = $0.10d

if we substitute these values into eq 2, we get

0.05n + 0.10d = 3.10 --------> (eq 3)

we can now solve eq 1 and eq 3 by substitution.

substituting eq 1 into eq 3,

0.05n + 0.10d = 3.10

0.05n + 0.10(44-n) = 3.10

0.05n + 4.4 - 0.10n = 3.10

-0.05n + 4.4 = 3.10 (subtract 4.4 from both sides)

-0.05n = 3.10 - 4.4

-0.05n = -1.3  (divide both sides by -0.05)

n = -1.3 / -0.05

n = 26  (i.e she had 25 nickels)

Hence the value of nickels she has (using formula above)

= $0.05n

= $0.05 x 26

= $1.30

I need the answer quick I have a time limit ( I only get an hour to complete the assignment heh )

Answers

Answer:

C (the third table, from the second picture).

Step-by-step explanation:

First, we need to find the slope of the graph.

Two conspicuous points are (0, -3) and (2, 1).

The slope is: (1 - -3) / (2 - 0) = (1 + 3) / 2 = 4 / 2 = 2.

A: In the table, the y-values increase by 2, while the x-values increase by 4. 2 / 4 = 1 / 2 = 0.5. The slope is not the same as the graph.

B: In the table, the y-values decrease by 2, while the x-values increase by 4. -2 / 4 = -1 / 2 = -0.5. The slope is not the same as the graph.

C: In the table, the y-values increase by 4, while the x-values increase by 2. 4 / 2 = 2 / 1 = 2. The slope is the same as the graph, so C is your answer.

D: In the table, the y-values decrease by 4, while the x-values increase by 2. -4 / 2 = -2 / 1 = -2. The slope is not the same as the graph.

Hope this helps!

2 + t = -4 what is the t

Answers

Answer:

- 6

Step-by-step explanation:

[tex]2 + t = - 4[/tex]

Move constant to R.H.S and change its sign

[tex]t = - 4 - 2[/tex]

Calculate

[tex]t = - 6[/tex]

Hope this helps..

Best regards!!

Answer:

t = - 6

Step-by-step explanation:

[tex]2 + t = -4 \\Collect -like-terms\\t = -4-2\\t=-6[/tex]

Find the sum of 1342, -295, -456,89.

Answers

Answer:

680

Step-by-step explanation:

add 1342+89 to get 1431

then add -295+-456 to get -751

then subtract 751 from 1431 to get 680

Step-by-step explanation:

Hope this is correct and helpful

HAVE A GOOD DAY!

What is the image of (-8, 10) when reflected in the y-axis?

Answers

Answer:

if you're just reflecting the point over the y-axis it just becomes (8,10)

Answer: (8, 10)

Explanation and Example:

I have a trick that I use. I'm not sure if it will make sense to you but I'll explain it. When the question asks you to reflect over the x-axis, then keep the x in (x,y) the same and just flip the sign for the y. If the question asks you to reflect over the y-axis, then keep y the same and flip the sign for x.

Reflect over x-axis:

(-2, 6) -----> (-2, -6)

Reflect over y-axis:

(-4, -8) -----> (4, -8)

PLEASE HELP ?

Convert by looking at the thermometer and measure to the nearest 5 degrees F.

31 degrees Celsius to Fahrenheit

Answers

Answer:

90º

Step-by-step explanation:

just look at where 31º on the right lines up with the value on the left (aka around 90º)

Answer:

87.8 °F ≈ 90°F

Step-by-step explanation:

[tex]x \ degrees \ F = 31 \ degree \ Celsius *\frac{9}{5} + 32\\x \ degrees \ F = 55.8 + 32\\\\x \ degrees \ Fahrenheit = 87.8 \ degrees \ Farenheit[/tex]

find the area of the shaded region ​

Answers

Answer:

27 in²

Step-by-step explanation:

area of triangle (whole) = 1/2 x base x height

                                       = 1/2 x 10 x 6

                                       = 30 in²

area of small triangle = 1/2 x base x height

                                   = 1/2 x 3 x 2

                                   = 3 in²

area of shaded region = 30 in² - 3 in²

                                     = 27 in²

how long would it take you to walk from Tucson Arizona to San Clemente California ​

Answers

Answer:

It would take around 152 hours or 468 miles.

Step-by-step explanation:

If you walk from Tucson Arizona (Saguaro National Park) to San Clemente California (Dana point), it would take around 152 hours, or 468 miles, if you walking speed is as the average person which is 3 to 4 miles per hour.

Natalie went to store A and bought 3 4/5 pounds of pistachios for $17. 75. Nicholas went to a store B and brought 4 7/10 pounds of pistachios for $ 19.50. Who got the better deal?

Answers

Answer:

Nicholas

Step-by-step explanation:

If you want an explanation I can add one

Natalie got the better deal. Per pound she payed $0.214 while Nicholas payed $0.241.

The loudness of s pile driver is 112dB . About how many times the sound intensity of a pile driver? round to the nearest ten

Answers

Answer:

[tex] db = 10 log_{10} (\frac{I}{I_o})[/tex]

With db =112 db, [tex]I_o =10^{-12} W/m^2[/tex] and solving for I the intensity we have:

[tex] \frac{db}{10}= log_{10} (\frac{I}{I_o})[/tex]

[tex] \frac{112}{10}= log_{10} (\frac{I}{10^{-12}})[/tex]

Now we can exponentiate with base 10 and we got:

[tex] 10^{11.2} = \frac{I}{10^{-12}}[/tex]

And solving we got:

[tex] I= 10^{-12} * 10^{11.2} = 0.158 \frac{W}{m^2} = 0.16 \frac{W}{m^2}[/tex]

Step-by-step explanation:

We knwo that the loudnes os 112 db and we want to find the intensity. So then we can use the following formula:

[tex] db = 10 log_{10} (\frac{I}{I_o})[/tex]

With db =112 db, [tex]I_o =10^{-12} W/m^2[/tex] and solving for I the intensity we have:

[tex] \frac{db}{10}= log_{10} (\frac{I}{I_o})[/tex]

[tex] \frac{112}{10}= log_{10} (\frac{I}{10^{-12}})[/tex]

Now we can exponentiate with base 10 and we got:

[tex] 10^{11.2} = \frac{I}{10^{-12}}[/tex]

And solving we got:

[tex] I= 10^{-12} * 10^{11.2} = 0.158 \frac{W}{m^2} = 0.16 \frac{W}{m^2}[/tex]

Answer: 40 ( to the nearest ten)

Step-by-step explanation:

Complete question :

The loudness of a jack hammer is 96 dB . Its sound intensity is about 0.004.

The loudness of a compactor is 94 dB . Its sound intensity is about 0.0025.

The sound intensity of the jack hammer is about 1.6 times the sound intensity of the compactor.

The loudness of a pile driver is 112 dB . About how many times the sound intensity of the jackhammer is the sound intensity of a pile driver? Round to the nearest ten.

Given that:

Sound intensity of jackhammer = 0.004

Sound intensity of compactor = 0.0025

Sound intensity of jackhammer is about 1.6 times the sound intensity of a compactor

Each factor of 10 in intensity corresponds to 10dB

Pile driver with loudness of 112dB ⇒ [tex]\frac{112}{10}=11.2[/tex]

Hence, 10^11.2 = 1.58489 × 10^11

Hence, sound intensity (I) in watts per m²

I = 1.58489 × 10^11 × 10^-12

I = 1.58489 × 10-1

I = 0.158489

Comparing the intensity of pile driver and jackhammer :

Intensity of piledriver / Intensity of jackhammer

[tex]\frac{0.158489}{0.004}[/tex]

= 39.622  ≅ 40 ( to the nearest ten )

PLEASE HELP!!!!! QUICK!! THANKS

Answers

Answer:

D. [tex] y = \frac{8}{x} [/tex]

Step-by-step explanation:

The inverse variation between two variables usually takes the following equation form:

[tex] y = \frac{k}{x} [/tex]

In the equation form given above,

[tex] k [/tex] could be value of any real number

x is the explanatory variable (independet variable), while y is the response variable (dependent variable)

Therefore, [tex] y = \frac{8}{x} [/tex] , is an example of an equation that shows inverse variation between the x and y variables.

 The right option is D. [tex] y = \frac{8}{x} [/tex]

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