What is the value of the expression 10 (n minus 6) when n = 14?

Answers

Answer 1

Step-by-step explanation:

10n-6 is 14 right.

10n - 6+6 = 14+6

now you simplify.

add the numbers

10n=20

divide by the same denominator

10n = 20 10n/10 = 20/10

now you simplify again.

take off the numbers from the numerator and denominator


Related Questions

Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95

Answers

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

How much cheaper is the car washes Malcolm orders than the car washes Martha's order?

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

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Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95

Which one is greater?
1.74 × 0.84
OR
1.79 × 0.69
- NO LINKS DOCS OR FILES ETC

Answers

Answer:

1.75 * 0.84

Step-by-step explanation:

1.74 * 0.84 = 1.4616

1.79 * 0.69 = 1.2351

Answer:

1.74 x 0.84 is greater

Step-by-step explanation:

1.74 x 0.84 = 1.4616

while

1.79 x 0.69 = 1.23509

A cone has a diameter of 7.5 ft and a height of 4.25 ft. What is the volume of the cone to the nearest tenth? Use 3.14 for π.

Answers

Answer:

5,024 ft³

Step-by-step explanation:

I took the k12 quiz

are the traiangles shown in the diagram at the right similar? Use angle relationships to explain how you know.

A<65
C< 70
B?
F<45
E<115
D< ?

are the traiangles shown in the diagram at the right similar? Use angle relationships to explain how

Answers

The two triangles have similar angles, thus the two triangles are similar using the AA criteria.

What are congruent triangles?

The dimensions of the sides and angles of two or more triangles determine whether they are congruent. A triangle's size and shape are determined by its three sides and three angles, respectively. If pairings of corresponding sides and corresponding angles are identical, two triangles are said to be congruent. These are the exact same size and form. Triangles can satisfy a wide variety of congruence requirements.

For the triangle ABC using the sum of interior angles of triangle we have:

A + B + C = 180

65 + 70 + B = 180

135 + B = 180

B = 45

Now, for triangle DEF we have:

F = 45.

E = 180 - 115 = 65

Thus, D = 70

The two triangles have similar angles, thus the two triangles are similar using the AA criteria.

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A specimen of connective tissue (collagen) can be obtained from a beef steak. The temperature at which the collagen shrinks can be determined. A tender piece of meat tends to have a low collagen shrinkage temperature. So, the lower shrinkage temperature, the more tender the meat. It is believed that electrical stimulation of a beef carcass could improve the tenderness of the meat. In one study of this effect, beef carcasses were split in half; one side (half) was subjected to a brief electrical current and the other side was an untreated control. For each side, a steak was cut and tested in various ways for tenderness. In one test, the experimenter obtained a specimen of the connective collagen tissue from the steak and determined the temperature at which the tissue would shrink. The experimenter wishes to prove that electrical stimulation tends to improve the tenderness of the meat. The raw data are found in the table below. Let = 0.02.

Answers

To draw a conclusion, a statistical analysis with a significance level (alpha) of 0.02 can be applied to compare the results.treated samples consistently show lower shrinkage temperatures compared to the control samples

In this study, the aim is to prove that electrical stimulation improves meat tenderness. Connective tissue (collagen) from beef steaks was examined, as lower collagen shrinkage temperature indicates higher tenderness.

The beef carcasses were split, with one side subjected to electrical current and the other side untreated as a control. Steak samples were cut from each side and tested for tenderness by determining the collagen shrinkage temperature.

I, it suggests that electrical stimulation does improve meat tenderness.

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find the slope of the line please help!

find the slope of the line please help!

Answers

Answer:

3/8 or .375

Step-by-step explanation:

Slope is always rise over run you rise 3 and run( to the left in this case ) 8 so your slope is 3/8

The Math Team sells crunchy and fruity trail mixes to raise money. The ratio of fruit to nuts in each mix and the price they charge for an 8-oz (or -cup) bag of each mix are given in the table below. [Hint: The ratio of fruit to nuts in the crunchy trail mix is 1:3. So, of each bag is fruit and of each bag is nuts.]

Ratio of fruit to nuts Price of an 8-oz (or cup) bag
Crunchy trail mix 1:3 $2.50
Fruity trail mix 5:3 $3.50
They have 30 cups of fruit and 50 cups of nuts to use in their trail mixes. So, they need to know how many bags of each type of mix they should they make. They let c represent the number of bags of crunchy trail mix and f represent the number of bags of fruity trail mix. Which set of inequalities below represents the conditions?

Answers

The conditions would be represented by the following set of inequalities:

c + 5f ≤ 60.3c + 3f ≤ 100.c ≥ 0. f ≥ 0.

What is an inequality?

An inequality can be defined as a mathematical relation for comparing two (2) or more integers or variables in an equation based on any of the following:

Greater than (>).Less than (<).Greater than or equal to the other (≥).Less than or equal to the other (≤).

In this scenario, the ratio of fruit to nuts in the crunchy trail mix is equal to 1:3. Therefore, 1/4 of each bag contain fruits while 3/4 contain nuts.

Mathematically, these conditions would be represented by the following set of inequalities:

1/2 × (c + 5f) ≤ 30  ⇒ c + 5f ≤ 60.

1/2 × (3c + 3f) ≤ 50  ⇒ 3c + 3f ≤ 100.

c ≥ 0. f ≥ 0.

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Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 3(x - 5)^2 + 2.

Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 1/3(x + 6)^2- 4.

Describe in words the transformations of the graph of the parent function f(x) = x2 thatwould result

Answers

2. The transformations are given as follows:

Vertical stretch by a factor of 3.Translation right 5 units.Translation up 2 units.

3. The transformations are given as follows:

Vertical compression by a factor of 3.Translation left 6 units.Translation down 4 units.

How to define the transformations?

For item 2, the transformations in this problem are given as follows:

Vertical stretch by a factor of 3, due to the multiplication by 3.Translation right 5 units, as x -> x - 5.Translation up 2 units, as y -> y + 2.

For item 3, the transformations are given as follows:

Vertical compression by a factor of 3, due to the multiplication by 1/3.Translation left 6 units, as x -> x + 6.Translation down 4 units, as y -> y - 4.

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Ozzie's loan for $500,000 has a term of 15 years and a payment of $4,778.26 per month. What is the annual interest rate on this loan?

Answers

The annual interest rate on this loan is 4.8%.

What is Simple Interest?

Simple interest is defined as the interest obtained over the principal amount on a certain rate.

Given that,

Principal amount, P = $500,000

Loan term, t = 15 years

Loan payment = $4,778.26 per month

                        = $57339.12 per year

                        = $860,086.8 in 15 years

We know that final amount for simple interest is,

A = P(1 + r t)

860,086.8 = 500,000(1 + 15r)

1.7201736 = 1 + 15r

r = 0.04801

r = 4.8%

Hence the annual interest rate is 4.8%.

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What is the answer please help me no
Links

What is the answer please help me noLinks

Answers

i’m pretty sure the answer is y=50m+25

Henry has a bag of potting soil that is 3/4
full. He uses 1/16 of a bag to fill small
flower pots. How many small flower pots
can he fill?
A. 48
B.12
C.11/16
D.3/64

Answers

Answer:

B

Step-by-step explanation:

3/4 of 16 (which is 1 whole) is 12

Find the x- and y-intercepts of the graph.

Find the x- and y-intercepts of the graph.

Answers

Answer:

see explanation

Step-by-step explanation:

the x- intercepts are the values of x where the graph crosses the x- axis

these occur at x = - 2 and x = 2

then x- intercepts are x = - 2 , x = 2

the y- intercept is the value of y where the graph crosses the y- axis

this occurs at y = 4

then y- intercept is 4

x intercept of a graph is the point(s) of the graph that intersects x-axis , y intercept of a graph is the point(s) of the graph that intersects y-axis .

x and y intersepts vary from graph to graph , a graph may have various x and y intersepts , a graph may have one x and y intersepts , or may don't have none of them , or may have only one of the intersepts

_______________________

In this graph

there are two x intersepts and one y intersept

x intersepts :

( 2 , 0 )

( -2 , 0 )

y intersept :

( 0 , 4 )

Growth models question

Growth models question

Answers

The recursive formula for this problem is given as follows:

\(P_n = 1.05 \times P_{n - 1}\)

The explicit formula for this problem is given as follows:

\(P_n = 150(1.05)^n\)

The number of tickets in 2026 is given as follows:

297 tickets.

What is a geometric sequence?

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number which is defined as the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n}\)

In which \(a_1\) is the first term.

The parameter values for this problem are given as follows:

\(a_1 = 150, q = 1.05\)

Hence the function is given as follows:

\(P_n = 150(1.05)^n\)

2026 is 14 years after 2012, hence the number of tickets is given as follows:

\(P_{14} = 150(1.05)^{14} = 297\)

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A hot air balloon descended 3240 feet in an hour. Find the change in altitude per minute?

Answers

An hour is the equivalent of 60 minutes. Because the hot air balloon descended 3,240 feet in an hour, we can set up an equation to represent this:

3,240 / 60 = 54

Therefore, the change in altitude per minute is 54 feet.
Unit Analysis

Unit analysis is a tool that we can use to convert units. It involves multiplying the original number by a fraction to cancel out units.

Solving the Question

We're given:

\(\dfrac{3240\hspace{4}feet}{hour}\)

We also know that:

\(\dfrac{hour}{60\hspace{4}minutes}\)

Multiply the two to cancel out the hour:

\(\dfrac{3240\hspace{4}feet}{hour}\times\dfrac{hour}{60\hspace{4}minutes}\\\\=\dfrac{3240\hspace{4}feet}{60 minutes}\)

Simplify:

\(=\dfrac{54\hspace{4}feet}{minute}\)

Answer

\(\dfrac{54\hspace{4}feet}{minute}\)

The probability that a carton of eggs taken from the cooler at a store will have at least one cracked egg is 2.5%.
What are the odds that a carton of eggs will have at least one cracked egg?

Answers

The odds that a carton of eggs will have at least one cracked egg is the same as the probability that a carton of eggs taken from the cooler at a store will have at least one cracked egg, which is 2.5%.

What is the probability?

Probability is the odds, chance, or likelihood of an expected outcome happening amid many possible and likely outcomes.

Probability is stated as a fractional value when it hovers between zero and one.  Otherwise, when it is 100% sure, it is described as a certainty with the probability as 1.

On the other hand, when the event is unlikely with 100% uncertainty, its probability is described as zero.

Thus, the probability that one cracked egg exists among a carton of eggs is the same as its odds.

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Find the area of the shaded portion in the equilateral triangle with sides 6. Show all work for full credit.
(Hint: Assume that the central point of each arc is its corresponding vertex.)

Answers

The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.

To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.

First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.

In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.

Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.

Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.

Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.

Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.

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A book is bought for 350 and sold for R490. Calculate the percentage profit.​

Answers

well, the profit is clearly just 490 - 350 = 140.

Now, if we take 350(origin amount) to be the 100%, what is 140 off of it in percentage?

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 350 & 100\\ 140& x \end{array} \implies \cfrac{350}{140}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{5}{2} ~~=~~ \cfrac{100}{x}\implies 5x=200\implies x=\cfrac{200}{5}\implies x=40\)

The temperature is 15º and is expected to fall 2º each hour during the night. write the linear equation

Answers

Answer:

y = 15 - 2x

Step-by-step explanation:

The starting temp is 15, and we expect it to fall 2 degrees each night. We substitute x and y, y = total temp at the end of the examined time period, x = number of hours.

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Answer:

15 - 2(x)

x = hours

Step-by-step explanation:

what is 999.09344471 rounded to the nearest square kilometer?

Answers

The nearest kilometers to 999.09344471 km is 1000 km.

Given value is 999.09344471 Km.

We have to calculate the round off value to the nearest kilometers. we know that after the decimal if the value of tenth place is 5 or bigger than 5 then we add 1 to the tens place digit, this is the fundamental rule of rounding off.

Now on following this rule from the very right hand side up to the tenth place digit we come to the conclusion that only  the value after the decimal (934) is to be rounded off which is (900).

So 999.09344471 km is finally becomes 999.900 km after rounding of to nearest hundredth value.

Again rounding off 999.900 km to nearest km so it becomes 1000 km.

The nearest kilometers to 999.09344471 km is 1000 km.

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find the measure of c

find the measure of c

Answers

Answer:

A. 149

Step-by-step explanation:

When a quadrilateral is inscribed in a circle, the sum of the opposite angles in the quadrilateral equal (180) degrees. Applying this theorem here, one can state the following:

c + 31 = 180

Inverse operations,

c + 31 = 180

c = 149

Thus, option (A) is the correct angles: ( c = 149°)

At colleges in Jacksonville, do tennis coaches generally get paid more than football coaches?

Answers

It is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a Wide range of factors

As an AI language model, I do not have access to up-to-date information about salaries of coaches in Jacksonville. However, in general, the salaries of coaches vary widely depending on a number of factors, such as the type of sport, the level of competition, the location, the success of the team, and the budget of the institution.

In terms of tennis and football, football is generally considered to be a more popular and high-profile sport than tennis in the United States, which could result in higher salaries for football coaches at the collegiate level. Football also typically generates more revenue and has larger budgets for athletic programs, which could also influence the salaries of coaches.

However, there are also factors that could affect the salaries of tennis coaches. For example, if a tennis program has a particularly successful season or has produced successful players, the coach may negotiate a higher salary. Additionally, some colleges may place a greater emphasis on tennis or have larger budgets for tennis programs, which could also impact the salaries of coaches.

Overall, it is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a wide range of factors. It is also important to note that salaries can vary widely between individual institutions, even within the same sport, and that negotiations between coaches and their institutions can play a significant role in determining salaries.

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Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
Need Help

Answers

Answer: -27

Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.

3, 9, -3, 3, -9, -3, -15, -9, -21, ?

We can start by looking at the differences between consecutive terms in the list:

9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12

Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:

-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21

Therefore, we predict that the most probable next number in the list is -27.


255, 250, 245, ...
Find the 40th term.

Answers

Answer:

so here we minus 5 from 255 to get to 250 and we do it again to get to 245. for reaching the 40th term we should do it 39 times.

so, 255+ (-5) (39) = 255 - 195 = 60

which is our 40th term.

The 40th term of  (255, 250, 245...) is 60.

What is arithmetic progression ?The difference between any two successive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence. For instance, the natural number sequence 1, 2, 3, 4, 5, 6,... is an example of an arithmetic progression. It has a common difference of 1 between two succeeding terms (let's say 1 and 2). (2 -1). We can see that the common difference between two subsequent words will be equal to 2 in both the case of odd and even numbers.There are three distinct progression kinds. As follows:Mathematical Progress (AP)Graphical Progress (GP)Rhythmic Progress (HP)It is feasible to find a formula for the nth term for a certain kind of sequence called a progression. The most popular mathematical progression, with simple formulas, is the arithmetic progression.

Calculations :

The formula to find the nth term = \(a_{n}\)  =  -5n + 260

                                                      = \(a_{40}\) x 5n = 260

                                                      = 260 - 200 = 60

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A traveler is trying to determine the fastest way to travel from city A to city Z. The possible travel routes, with the time required for each segment, is shown below.


What is the shortest path and what is the shortest possible time to travel from A to Z? (Round your answer to the nearest whole number.)


Shortest Path Choices: A-B, B-E, E-Z ; A-C, C-Z ; A-B, B-D, D-Z

Answers

Answer:

Shortest Path : A-C, C-Z

Shortest possible time = 143

Step-by-step explanation:

P.S - The exact question is -

Given -

T1 = 38

T2 = 52

T3 = 63

T4 = 67

T5 = 91

T6 = 62

T7 = 64

To find - What is the shortest path and what is the shortest possible time to travel from A to Z ?

Proof -

Choices for shortest path is -

Choice 1 : A-B, B-E, E-Z ;

Choice 2 : A-C, C-Z ;

Choice 3 : A-B, B-D, D-Z

Now,

For Choice 1 : A-B, B-E, E-Z

Distance between A-B = T1 = 38

Distance between B-E = T4 = 67

Distance between E-Z = T7 = 64

So,

The distance = 38 + 67 + 64 = 169

Now,

For Choice 2 : A-C, C-Z

Distance between A-C = T2 = 52

Distance between C-Z = T5 = 91

So,

The distance = 52 + 91 = 143

Now,

For Choice 3 : A-B, B-D, D-Z

Distance between A-B = T1 = 38

Distance between B-D = T3 = 63

Distance between D-Z = T6 = 62

So,

The distance = 38 + 63 + 62 = 163

∴ By comparing we get

Shortest Path = A-C, C-Z

Shortest possible time = 143

A traveler is trying to determine the fastest way to travel from city A to city Z. The possible travel

The shortest path is A→C→Z and the shortest possible time is 143 units option second is correct.

It is given that the traveler is trying to determine the fastest way to travel from city A to city Z.

It is required to find the shortest path and the shortest possible time to travel from A to Z.

What is the shortest path?

It is defined as the path in which all the sum of the path will be shortest in a weighted diagram known as the shortest path.

We have the time required to travel from A to B is T1 = 38 units

Similarly, for the path A to C is T2= 52 units

For the path B to D is T3= 63 units

For the path B to E is T4 = 67 units

For the path C to Z is T5 = 91 units

For the path D to Z is T6 = 62 units

For the path E to Z is T7 = 64 units

For the path A→B→E→Z

The total time required = T1+T4+T7

                                       = 38+67+64 ⇒169 units.

For the path A→C→Z

The total time required = T2+T5

                                       = 52+91 ⇒143 units.

For the path A→B→D→Z

The total time required = T1+T3+T6

                                       = 38+63+62 ⇒ 163 units.

Thus, the shortest path is A→C→Z and the shortest possible time is 143 units option seconds is correct.

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A gardener wants to determine which of two brands of fertilizer is best for the plants in a garden. Before using one of the fertilizers on the entire garden, the gardener decides to conduct an experiment using 28 individual plants. Which of the two plans for randomly assigning the treatments should the gardener use? Explain.

Plan A: Choose the 14 unhealthiest-looking plants. Apply Brand X fertilizer to all 14 of those plants. Apply Brand Y fertilizer to the remaining 14 plants.

Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

Plan A, because the unhealthy plants need the fertilizer the most and should be treated first
Plan B, because the sample of plants is randomly chosen
Plans A and B are equivalent because they both follow experimental design
Plans A and B are both poorly designed because there are not enough plants to test
The plans cannot be evaluated from the information given

Answers

Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

What is a sample and its types?

A sample is only a small portion of the population.

Let's imagine you were interested in determining the average income for all Americans in your population.

Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.

Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.

And the gardener decides to conduct an experiment using 28 individual plants.

Plan A will be a biased sampling and the experiment would not yield

desired results.

Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

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FIND THE AREA OF THE SHAPE

FIND THE AREA OF THE SHAPE

Answers

32 ezzz work so ezzz

a certain radioactive isotope has leaked into a small stream. one hundred days after the leak 8% of the original amount of substance remained. Determine the half life of this radioactive isotope

Answers

Answer:

The half-life of a radioactive substance is the time it takes for half of the initial amount of the substance to decay. We can use the fact that 8% of the original amount remains after 100 days to determine the half-life of the isotope.

Let's assume that the initial amount of the substance is 1 unit (it could be any amount, but we're assuming 1 unit for simplicity). After one half-life, half of the original amount remains, or 0.5 units. After two half-lives, half of the remaining amount remains, or 0.25 units. After three half-lives, half of the remaining amount remains, or 0.125 units. We can see that the amount of substance remaining after each half-life is half of the previous amount.

We can use this information to set up the following equation:

0.08 = (1/2)^n

where n is the number of half-lives that have elapsed. We want to solve for n.

Taking the logarithm of both sides, we get:

log(0.08) = n*log(1/2)

Solving for n, we get:

n = log(0.08) / log(1/2) = 3.42

So the number of half-lives that have elapsed is approximately 3.42. Since we know that 100 days is the time for three half-lives (from the previous calculation), we can find the half-life by dividing 100 days by 3.42:

Half-life = 100 days / 3.42 = 29.2 days (rounded to one decimal place)

Therefore, the half-life of the radioactive isotope that leaked into the stream is approximately 29.2 days.

Find the component form of u + v given the lengths of u and v and the angles that u and v make with the positive x-axis. ||u||= 4, θu =6 , ||v|| = 1, θv = 4

Answers

The component of u+v along the length of u and v  is (6.3, 0.66).

A vector is quantity which has both magnitude and direction. A magnitude is the length of the vector.

Here in the question u and v makes angle with the positive x axis.

||u||= 4 and θu =6  and  ||v|| = 1, θv = 4

To determine the component of u = |u||(cosu, sinu)

Component of u = 6(0.9, 0.1) = (5.4, 0.6)

Component of v = ||v||(cosv sinv)

Component of v  along the x axis = 1(0.9, 0.06 ) = (0.9, 0.06)

In the question value of u+v needs to be find.

Value of u + v = (5.4 + 0.9 , 0.6+ 0.06)

Value of the component form of u + v = (6.3, 0.66).

Hence, the component of u+v along the length of u and v is (6.3, 0.66).

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Find the shaded area (round answer to 3 sig figs).

Find the shaded area (round answer to 3 sig figs).

Answers

1. Let us find the area of the sector:

\(\begin{gathered} \frac{\theta}{360}\cdot\pi\cdot r^2\text{ (Area of a sector formula)} \\ \frac{85}{360}\cdot\pi\cdot(12\operatorname{cm})^2\text{ (Replacing)} \\ \frac{85}{360}\cdot\pi\cdot144cm^2\text{ (Raising 12 to the power of 2)} \\ 0.236\cdot\pi\cdot144cm^2\text{ (Dividing)} \\ 106.814cm^2\text{ (Multiplying)} \end{gathered}\)

2. The area of the triangle would be:

\(\begin{gathered} At=\frac{1}{2}\cdot ab\cdot\sin (\theta)\text{ (Area of a non right-angled triangle)} \\ At=\frac{1}{2}\cdot(12)\cdot(12)\cdot\sin (85)\text{ (Replacing)} \\ At=71.726cm^2 \end{gathered}\)

3. Subtracting the area of the triangle from the area of the sector, we have:

106.814 cm^2 - 71.726 cm^2 = 35.088 cm^2

The answer is 35.088 cm^2

If 12.6cm on the map is equal to 1262km in real life, determine the unit scale of the map

Answers

Answer:

1unit scale on map is equal to 100.16 km in real life

Step-by-step explanation:

since in map 12.cm =1262km in real life

1cm=(1262/12.6) km

therefore it gives us 100.158km which is approximately 100.16 km .

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