which of the following numbers are not written in scientific notation
a. 3.45 x 10^-2
b. 34.5 x 10^5
c. 1.05 x 10^-5

Tori and her two friends listened to music for a total of 2 hours and 2/5 of an hour (or 2.4 hours) in all.

Tori and her two friends each listened to music for 4/5 of an hour.

To find out how long they listened to music in total, we need to multiply the duration by the number of people.

Since Tori and her two friends listened to music for the same amount of time, we can simply multiply the duration by 3 (to account for Tori and her two friends).

Duration per person: 4/5 hour

Total duration: (4/5) \(\times\) 3 = 12/5 hour

To simplify the fraction, we can express 12/5 as a mixed number.

Since 5 goes into 12 evenly twice, with a remainder of 2, the total duration can be written as 2 2/5 hours.

For similar question on fraction.

https://brainly.com/question/30154928  

#SPJ8

Answer:

0.33

Step-by-step explanation:

Answer: 0.33 = 33/10 0.4 = 4/10 So, 33/10 is greater than 4/10. That means 0.33 is greater than 0.4.

The average velocity from t = 2s to t = 4s would be - 48 ft/s.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

To solve more questions on functions, visit the link below-

brainly.com/question/17613163

#SPJ1

The sum of the sequence 6³ + 6⁴ + 6⁵ + ... + 6^k, where k is any integer with k ≥ 3, can be written in closed form as:

\(S = 216 \times (6^k - 1) / 5.\)

The sum of a geometric sequence can be calculated using the formula:

\(S = a \times (r^k - 1) / (r - 1),\)

where S is the sum of the sequence, a is the first term, r is the common ratio, and k is the number of terms.

In this case, the first term (a) is 6³ = 216, and the common ratio (r) is 6. We need to find the sum of the terms from 6³ to \(6^k\).

Let's calculate the sum using the formula:

\(S = 216 \times (6^k - 1) / (6 - 1)\)

\(= 216 \times (6^k - 1) / 5.\)

Therefore, the sum of the sequence 6³ + 6⁴ + 6⁵ + ... + 6^k, where k is any integer with k ≥ 3, can be written in closed form as:

\(S = 216 \times (6^k - 1) / 5.\)

Learn more about geometric sequence click;

https://brainly.com/question/27852674

#SPJ12

Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

The mean of a set of log-normally distributed random variables is equal to the mean of their logs.

Therefore, if we simulate a lot of lognormal(5,1) random variables, take their logs and then take the mean, it will be closest to the mean of the logs, which is 5. This is because lognormal(5,1) tells us that the mean of the original variables is exp(5+1^2/2), which is equal to exp(5.5), or 148.413. Taking the log of this number returns 5.

To calculate this more precisely, let's assume we simulate n lognormal(5,1) random variables and denote them by x_1, x_2, ..., x_n. We take the logs of each variable, producing the values y_1, y_2, ..., y_n. The mean of the logs is then calculated as (y_1+y_2+...+y_n)/n. Since each y_i is equal to the log of one of the x_i's, which is equal to 5, the mean of the logs is 5. Therefore, if we simulate a lot of lognormal(5,1) random variables, take their logs and then take the mean, it will be closest to 5.

Learn more about mean here:

https://brainly.com/question/14882017

#SPJ4

Answer:

18 servings

Step-by-step explanation:

If one serving is 1/3 cup, one cup is 3 servings. Therefore, we can multiply 3 x 6 for an answer of 18 servings

Answer:

11x = 3 (i think)

Step-by-step explanation:

Answer:

x = 3/11

Step-by-step explanation:

4-5x=1+6x

4 - 11x = 1

-11x = -3

x = 3/11

Answer:

1. y=3x-2 -> x= (y+2)/3

Step-by-step explanation:

You simply sub-in the m and b, then "reverse" the problem by doing the steps to get from the 2nd, to the first.

Answer:

Step-by-step explanation:

1.y=3x-2

2.y=2/5x+2

3.y=-1/2x+4

4.y=-4x+3

5.y=5x+18

8.y=-3/2+1

you didn't include 6 & 7 that's why i skipped them

hope this helped :)

Answer:

23,490

Step-by-step explanation:

The equation of the given quadratic function is y = x² -9x+18. The correct option is B. y = x² -9x+18

From the question, we are to determine which equation represent the quadratic function

From the given graph,

The roots (zeros) of the function are

x = 3 and x = 6

Now, we will determine the equation of the function from its roots

x = 3 and x = 6

Then, we can write that

x -3 = 0 OR x - 6 = 0

Thus,

(x -3)(x -6) =0

Expanding

x² -6x -3x +18 =

x² -9x+18 = 0

∴ y = x² -9x+18

Hence, the equation of the given quadratic function is y = x² -9x+18. The correct option is B. y = x² -9x+18

Learn more on Quadratic equation here: https://brainly.com/question/16672075

#SPJ1

Tangents are slopes, and there are two angles with the same slope that are 180 degrees apart, not to mention an infinite number of coterminal brethren all with the same tangent.  So this question is a bit ambiguous.

Let's assume they want the principal value of the inverse tangent, between -90 degrees and +90 degrees.  A tangent bigger than 1 means it will be between 45 and 90 degrees.

tan x = 2.246

x = arctan 2.246 = 66.00 degrees

Answer: 66

In linear equation , 13 April  is day was the flower 16. 5 centimeters tall.

What are a definition and an example of a linear equation?

Rate of change = 17.4 - 15/16 - 8

                        = 2.4/3

                         = 0.3 cm/day

Difference between 16.5 cm and 15 cm = 16.5 - 15  = 1.5 cm

Number of days required to grow from 15 cm to 16.5 cm = 1.5/0.3 = 5 days

Date on which the flower was 16.5 cm tall = 8th April + 5 = 13 April

Learn more about linear equation

brainly.com/question/11897796

#SPJ4

Answer:

\(6n - 6 = 36 \: d. - - - addition \:property \: of \: equality \\

6n = 42 \: e. - - - division \: property \: of \: equality \: \\ \)

Answer:6 1/4

Step-by-step explanation:

Answer:

a.  35%

Step-by-step explanation:

Sales = $802,000

Variable costs = 65% of sales = 0.65 x $802,000 = $521,300

Income from operations = $267,000

Contribution Margin = Sales - Variable Costs

= $802,000 - $521,300 = $280,700

Contribution Margin Ratio = (Contribution Margin / Sales) x 100

= ($280,700 / $802,000) x 100

= 35%

Therefore, the contribution margin ratio is approximately 35.02%.

Answer:

Step-by-step explanation:

In arithmetic progression common difference is given by

d = nth term - (n-1)th term.

In geometric progression common ratio is given by

r = nth term / (n-1)th term.

Another thing  important to note is that in both AP and GP common difference and common ratio remains same for any two consecutive terms which can be calculated using above formula.

we will be using this concept to solve this problem.

________________________________

Let look at the problem

series

11, 6 ,1

Lets try to find common difference for this series

common difference of third and second term = 1-6 = -5

common difference of  second term and first term = 6 -11 = -5

Thus, we see that common difference is same in both case ,

hence it can be concluded that series is Arithmetic progression.

another way to validate this is

nth term of AP is given by

nth term = a + (n-1)d

where a is first term

lets try to find third term using this formula and using d = -5 and a = 11

3rd term = 11 + (3-1)-5 = 11 + 2*-5 = 11- 10 = 1

Thus, we see that third term calculated is same as given in series i.e 1

Hence series is Arithmetic progression validated as well.

______________________________________________

Problem is solved but lets see if the series is GP or not

common ratio of third and second term = 1/6 = 1/6

common ratio of  second term and first term = 6 /11

Thus, we see common ratio is not same for the two consecutive term in the series and hence series cannot be geometric progression.

112/3 is the required integral.

Given the function is f(x) = 4 if −4 ≤ x ≤ 0 and f(x) = 16 − x² if 0 < x ≤ 4.

The given integral is ∫ f(x) dx over the interval [-4, 4].

Now let's solve for the integral over the given interval.

Step 1: Evaluate the integral over [-4, 0]

Interval [-4, 0] corresponds to the range of f(x) = 4.

∫ f(x) dx over [-4, 0] = ∫ 4 dx over [-4, 0]

= [4x] between -4 and 0

= 4(0) - 4(-4) = 16

Step 2: Evaluate the integral over [0, 4]

Interval [0, 4] corresponds to the range of f(x) = 16 − x².

∫ f(x) dx over [0, 4] = ∫ (16 - x²) dx over [0, 4]

= [16x - x³/3] between 0 and 4

= 16(4) - (4³/3) - [16(0) - (0³/3)]

= 64 - (64/3)

= (64/3)

Therefore, the integral over the range [-4, 4] is

∫ f(x) dx over [-4, 4] = [∫ f(x) dx over [-4, 0]] + [∫ f(x) dx over [0, 4]]

= 16 + (64/3)

= (48 + 64) / 3

= 112/3

The required integral is 112/3.

To learn more about integral, refer below:

https://brainly.com/question/31433890

#SPJ11

Answer:

4,2

Step-by-step explanation:

The slope of the line is 2.

All you have to do is rise/ run.

Rises 6 runs 3.

So 6/3.

Simplify iff possible, and in this case it is possible. Which gives you 2.

Answer is 2.

The interval on which the curve is concave upward is  x∈(-I, -0.125). It can be calculated in the following manner.

y = x∫(1/5+t+4t²) dt

y= 1/(5+x+4x²)  (d(x)/dx)

y= 1/(5+x+4x²)

y= -1(5+x+4x²)² * (8x+1)

For concave up: y">0

= -(8x+1)/(5+x+4x²)² >0

= -(8x+1)>0

= (8x+1)<0

= x<(-1/8)

= x∈(-∞, -1/8)

= x∈ (-I, -1/8)         ≡      x∈(-I, -0.125)

The interval on which the curve is concave upward is  x∈(-I, -0.125)

A segment of a curve is said to be concave up if the y-value increases rapidly from left to right. The curve would resemble the interior of a bowl if viewed from above.

Learn more about concave here brainly.com/question/13320130

#SPJ4

The effective mass on the opposite end of the lever is 4 kg and distance is given, which is incorrect as option D is 25 kg otherwise all option is correct .

In the given scenario, a 2 kg mass is placed at the end of a lever, which is 20 cm from the pivoting point. If the mass is transferred to the other side of the lever, which is 10 cm from the pivot,

Let's find out.The effective mass on the opposite end of the lever can be found using the following formula:

= Mass × distance of its center of gravity from the pivot

Let M be the effective mass that we have to find. Then, we have:

2 kg × 20 cm

= M × 10 cm40 cm

= 10 M4

= MM

= 4

Therefore, the effective mass is 4 kg. Hence, option D. 25 kg is incorrect as the effective mass is 4 kg.

To know more about effective mass Visit:

https://brainly.com/question/2124323

#SPJ11

The recursive formula that represents the value of account is a (n) = 1.0194 ;a (n-1); V (0) = 3.38.

Any term of a series can be defined by its preceding term in a recursive formula (s).

The general formula to find recursion is \(a_{n}= ra_{n-1}\) where r is the common ratio and n should ne grater than 2.

a (n) = 3.38. a (n-1);a (1) = 1.0194

a(n) = 3.38. a (n - 1);a (0) = 1.0194

a(n) = 1.0194. a (n-1);a (1) = 3.38

a (n) = 1.0194 .a (n-1); a (0) = 3.38

To learn more about recursion visit the link:

https://brainly.com/question/20749341

#SPJ1

Answer:

-2/1

Step-by-step explanation:

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

if there was a random selection of  cartons from each of the groups to measure grams of fat. This is an example of stratified sampling

Stratified sampling can be defined as a method of sampling that involves  division of a population into smaller groups or items, these are called strata.

This groups or strata are then arranged or organized based on the shared characteristics or attributes of the members in the group of the given population.

Stratification is the process of classifying the population into groups.

Features of  stratified sampling are;

From the information given, we can see that it is an example of stratified sampling.

Thus, if there was a random selection of cartons from each of the groups to measure grams of fat. This is an example of stratified sampling

Learn more about sampling here:

https://brainly.com/question/16587013

#SPJ1

The interest amount is $120 when given principal amount $2000, rate of interest per year is 3% and time period is 2 years.

Given that,

p = $2,000, r = 3%, and t = 2 yr.

We have to find the i when i=prt.

Here,

i is interest amount.

p is principal amount.

r is rate of interest per year.

t is time period.

So,

Formula for finding interest amount is

i=prt

So,

i=2000(3/100)(2)

i=20×3×2

i=120

Therefore, The interest amount is $120 when given principal amount $2000, rate of interest per year is 3% and time period is 2 years.

To learn more about interest visit: https://brainly.com/question/19291527

#SPJ1

Answer:

The temperature at 11:00 a.m. is 14 °F

Step-by-step explanation:

Let us list the information in the question

→ The temperature at 7:00 a.m. is - 7 °F

→ The temperature increases 21 °F during 4 hours

→ We need to find the temperature at 11:00 a.m.

∵ The temperature increases 21 °F during 4 hours

∵ The time 4 hours after 7: 00 a.m. is 11:00 a.m.

→ That means add 21 °F to - 7 °F to find the temperature at 11:00 a.m.

∴ The temperature at 11:00 a.m. = -7 °F + 21 °F

∴ The temperature at 11:00 a.m. = 14 °F

The temperature at 11:00 a.m. is 14 °F

Answer:

Hi! A piecewise function is a function defined by multiple sub-functions, or pieces of different functions over different intervals. Piecewise definition is a way of expressing the function and is not actually integral to the function itself.

f(x) = |x - 2| is an absolute value function. As a piecewise function, it's written like this:

f(x) = {x - 2, x ≥ 2

        {-x + 2, x < 2

Hope this helps! Have a great day.

To find the product (3x+1)(x+4), we can use the distributive property of multiplication:

(3x+1)(x+4) = 3x(x+4) + 1(x+4)

We can use the table of products to simplify the multiplication:

3x(x+4) = 3x^2 + 12x

1(x+4) = x+4

Therefore,

(3x+1)(x+4) = 3x^2 + 12x + x + 4

Simplifying, we get:

(3x+1)(x+4) = 3x^2 + 13x + 4

So the answer, written in standard form, is:

(3x+1)(x+4) = 3x^2 + 13x + 4