A particular compound decays according to the equation
, where t is in days. Find the half-life of this compound.

Answer:

(-4,-3,-2,-1,0,1,2)

Step-by-step explanation:

..........i hope it is............

Answer: he paid for 5 hours take

51.00-11.00 = 40.00 left

8/40= 5

so he paid for 5 hours

Answer: 132 cm cubed

Step-by-step explanation:

0.5*3*4*2=12

10*5=50

4*10=40

3*10=30

30+40+50+12=132 cm cubed

Answer:

3.14 cm²

Explanation:

1.) 2πr = 20π

2.) r =20/2

3.) r = 10 cm

4.) The radius of the circle = 10 cm

5.) The area = πr2 ≈ 3.14 ×(10)² = 3.14 ×(100) = 314 cm²

6.) 3.14 centimeters squared

Answer:

A

Step-by-step explanation:

To simplify the expression 3 11 5 ÷ 3 − 9 5, let's break it down step by step:

First, let's simplify the division 3 11 5 ÷ 3:

3 11 5 ÷ 3 = (3 × 115) ÷ 3 = 345 ÷ 3 = 115.

Next, let's subtract 9 5 from the result we obtained:

115 - 9 5 = 115 - (9 × 5) = 115 - 45 = 70.

Therefore, the simplified expression is 70.

The correct answer is A. 70.

Answer:

-12, -7, -4, 0, 3, 10

Step-by-step explanation:

just ask !

The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3

The pattern in the question is given as

1.3, 8.3, 27.3, 64.3,…

In the above expressions and pattern, we can see that

From the above, we have the following

Current term = (n)³.3

Note that the decimal does not represent product

And also the pattern is a geometric sequence

Hence, the pattern for the sequence is f(n) = (n)³.3

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Answer:

Option D, AB

Step-by-step explanation:

diameter needs to go through the ceneter point (O) touching both ends of the circle

Answer:

AB is diameter of circle.

D is correct.

Step-by-step explanation:

We are given a circle whose center is O

We need to choose segment of diameter.

Diameter: It is longest chord of the circle which passes through the center of circle.

In the given figure only segment passes through center.

AB and DE

Thus, Both AB and DE should be diameter of given circle.

Now, we will choose correct option.

Option A: AO is chord of circle.  False

Option B: CO is chord of circle. False

Option C: AC is radius of circle. False

Option D: AB is diameter of circle. True

Hence, AB is diameter of circle.

Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

The average velocity during [1,2] time period is 6cm/s.

This looks like an exercise that's building toward the idea of a derivative.

These calculations are done best with a calculator, but here's how the first interval is used:

Average velocity = (position at 2 - a position at 1) / (2 - 1)

It's really distance divided by time!

Position at t = 2: 4sin(2\(\pi\))+3cos(2\(\pi\))=4(0)+3(1)=3

Position at t = 1: 4sin(\(\pi\))+3cos(\(\pi\))=4(0)+3(-1)=-3

So over the interval [1, 2], the average velocity is \(\frac{3-(-3)}{2-1} =\frac{6}{1} =6\)

∴ Average velocity=6cm/s

I used a spreadsheet to calculate the average velocity over the other intervals and a couple of shorter ones, too.  (See attached image.)

As these intervals get shorter (the right endpoint is approaching 1), the average velocity gets closer and closer to the instantaneous velocity. An estimate would be -12.6.

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Step-by-step explanation:

*Syntax Error*

just consult with your teacher

Answer:

What is the question?

Step-by-step explanation:

Answer:

WOW!!! What a great price? I should have bought that toy store immediately

Step-by-step explanation:

Answer:

(a) Bako is 10 years old

(b) His mother was 30 years old when Bako was 5

(c) Bako will be 25 years old when his mother is 50

(d) Bako's mother was 25 years old when he was born

(e) The difference between Bako's age & his mother's is 25 years

Step-by-step explanation:

Let Bako's age five years ago be x years

Presently, Bako is 2x years old (according to the 1st statement)

Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.

This simply means that Bako's present age is BOTH 2x years & (x + 5) years.

We have to equate them since they mean the same thing (Bako's present age)

x + 5 = 2x

2x - x = 5

Therefore x = 5 years

Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.

This simply means that Bako's age now is 10 years old.

His mother was then six times 5 years = 30 years old (from the 2nd statement).

If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.

This simply means that Bako's mother is older than him with 25 years.

Therefore, Bako will be 25 years old when his mother is 50 years old

Answer:

c = 7.4

Step-by-step explanation:

Pythagoras Theorem

8². - 3 ². = c ².

√64 -√9 = c².

√55 = c². = 7.4161984871².

c = 7.4

Answer:

The answer is b..

Step-by-step explanation:

hope its helpful

Using the point-slope form:

⇒ \((y-y0) = m(x-x0)\)

Which require one point (x0,y0) on the line and the slope (m)

Thus let us plug int the value

\((y + 2) = 0(x + 4)\\y + 2 = 0\\y = -2\)

Thus the equation of the line is y = -2

Hope that helps!

Answer:

80

Step-by-step explanation:

80 is the only number that is a multiple of ALL 2, 8 and 10

Answer:

the only answer that is a multiple of 2,8 and 10 between 49 and 95, is 80.

Step 1:

When by either

f(x) or x is multiplied by a number, functions can “stretch” or “shrink” vertically or horizontally, respectively, when graphed.

In general, a vertical stretch is given by the equation

y=bf(x). If b>1, the graph stretches with respect to the y-axis, or vertically. If b<1, the graph shrinks with respect to the y-axis. In general, a horizontal stretch is given by the equation y=f(cx) If c>1, the graph shrinks with respect to the x-axis, or horizontally. If c<1, the graph stretches with respect to the x-axis.

Step 2:

The function is vertically stretched by a factor of 2.

Step 3:

A horizontal translation is generally given by the equation

y=f(x−a). These translations shift the whole function side to side on the x-axis.

Hence, the function is translated 6 units to the right

Final answer

Answer:

fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)

f

(

x

)

=

3

−

2

x

,

g

(

x

)

=

3

x

2

+

2

Set up the composite result function.

g

(

f

(

x

)

)

Evaluate

g

(

f

(

x

)

)

by substituting in the value of

f

into

g

.

g

(

3

−

2

x

)

=

3

(

3

−

2

x

)

2

+

2

Answer:

(x,y) --->(x-5,y)

A(-1.1)--->A¹(-6,1)

B(2,-4)-->B¹(-3,-4)

C(3,0) --> c¹(-2,0)

hope it helps

have a great day

Answer:

\(847 \times {10}^{12} \)

Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.

We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.

Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.

Therefore,  y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.

Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.

Simplifying, we have :3x = $90000 + 75 = $90075.

Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.

Therefore, Jane received $30025 and Lydia received $60000.

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The expression to represent Rodney's salary at his new job is

\(S(t) = 35,700*(1 + 0.025)^t\)

Rodney's income can be expressed using this formula:

\(S(t) = 35,700*(1 + 0.025)^t\)

Where :

S( t) represents Rodney's salary at his new job

$ 35 700 is Rodney starting salary and

0.025 denotes annual increase (2.5% expressed as decimals is 0.025 )

t = number of years later.

The function assumes that Rodney will receive an annual increase in salary of 2.5% growth rate annually and and the initial function is $ 35,700

This is an exponential function having a growth rate of 2.5%

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Answer:

Team score in first game < 19

Step-by-step explanation:

Point Scored in Third Game =X

Points Scored in First Game = X+6 (6 more than third game)

Points Scored in Second Game = 23

Total Points ={( First Game) +( Second Game) + (Third Game)} < 55

                      { ( X+6) + (23) + (X)} < 55

                       X+29+X < 55

                       2X+29 < 55

                       2X< 55-29

                       2X < 26

                         X <26/2

                         X<13

So the point scored in First game is: (X+6)

Where X < 13

So the point in First game is < 19

The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

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Answer:

the answer is b, c, d, a, respectively

The confidence interval for  mean number of hours of sleep on a typical night for the students is  [ 94.58,105.42 ] .

Using the mean, standard deviation, number of samples, and desired confidence interval as inputs, the following formula is used to compute the interval:

X + / -( Z * ( σ / √n))

where z comes from the reference's standard distribution tables and has a 95% confidence interval of 1.96.

100 + / - (1.96 * (17.50/40^1/2))

= [ 94.58,105.42 ]

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

In contrast, a high or low standard deviation indicates that the data points are, respectively, above or below the mean. A standard deviation that is close to zero implies that the data points are close to the mean.

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The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

(a) All three languages  - 9

(b) Indonesian only  - 10

(c) none of the languages - 12

(d) At least one language  - 168

(e) Either one or two of the three languages - 159​

Step-by-step explanation:

The question require the knowledge of Set theory and its Formulas.

Total pupils = 180

French (Let F) = 110  

German (Let G) = 88

Indonesian (Let I) =  65

French and German (F intersection G) =  40

German and Indonesian (G intersection I) =  38

French and Indonesian (F intersection I)  = 26

German only  = 19

(a) All three languages

We are given only German speaking people are 19

Only German = n(G) - n( F intersection G) - n(G intersection I) + n(F intersection G intersection I)

 19 = 88 - 40-38 + n(G intersection I) + n(F intersection G intersection I)

n(G intersection I) + n(F intersection G intersection I) = 9

n(G intersection I) + n(F intersection G intersection I) represents the number of pupils speaking who study all the three languages.

(b)Indonesian only

   n( I) - n(G intersection I) + n(F intersection I) + n(G intersection I) + n(F intersection G intersection I)

65 - 38 - 26 + 9 = 10

So 10 pupils speak Indonesian only

(c)none of the languages

It will be equal to Total - pupils speaking any of the three languages

Any of the three languages = (F union G union I)

  = n(F) +n(G) + n(I) -n(F intersection G) - n(G intersection I) -n(F intersection I)

    +  n(F intersection G intersection I)

n(G intersection I)

  = 110 + 88 + 65 -40 -38-26 + 9

  = 263 - 95

   = 168

So 168 pupils speak any of the three languages

None speakers = 180 - 168 = 12 pupils

So 12 pupils do not speak any of the three languages.

(d)at least one language

At least one language has the meaning that the person can either speak one two or all three languages, so it will be same as we proceeded above

Any of the three languages = (F union G union I)

  = n(F) +n(G) + n(I) -n(F intersection G) - n(G intersection I) -n(F intersection I)

    +  n(F intersection G intersection I)

n(G intersection I)

  = 110 + 88 + 65 -40 -38-26 + 9

  = 263 - 95

   = 168

(e) either one or two of the three languages​

Pupils can speak one or two language but not all the three so will subtract all the three language speaker from the total.

  Total speaker = 168

 All three languages speaker  = 9

 Either one or two of the three languages​ speaker = 168 - 9 = 159