When building a house, the number of days required to build varies inversely with the number of workers. One house was built in 20 days by 28 workers. How many days would it take to build a similar house with 14 workers?

Answer:

I will suppose that the actual question is:

Iodine-131 has a half-life of 8 days. How much would be left of an original g sample after x days?

Ok, a half-life means that after that time, the mass of the original sample is reduced to half.

So if we start it a quantity g of iodine-131, after 8 days, we will have g/2.

Also, remember that the decay is written as an exponential decay, then we will have:

A(x) = g*(r)^x

where:

A is the amount of the sample after x days, g is the initial amount of the material (such that A(0) = g) and r is the rate of decay.

We know that:

A(8) = g/2 = g*(r)^8

Now we can solve this for r:

g/2 = g*(r)^8

1/2 = r^8

(1/2)^(1/8) = r = 0.917

Then the amount of material after x days is given by:

A(x) = g*(0.917)^x

Answer:

10.99

Step-by-step explanation:

Took the test and it said it was this one :)

The arc length of the car traveled, to the nearest hundredth is 10.99feet

The formula for calculating the length of an arc is expressed as:

L = theta/360 × 2pi r

Given that

Radius r = d/2 = 30/2 =15ft

theta = 42 degrees

pi = 3.14

Substitute the given values into the formula as shown

L = 42/360×2(3.14)(15)

L = 42/360×94.2

L = 3956.4/360

L = 10.99feet

This shows that the arc length of the car traveled, to the nearest hundredth is 10.99feet

Learn more here: https://brainly.com/question/16117492

Answer:

it's arm will regenerate and grow back

plz mark me as brainliest

Answer:

B. The arm will regenterate

Answer:

51

Step-by-step explanation:

mode is the value which appears the most than other values. In this case 51 will appear 3 times.

Answer:

5.1

Step-by-step explanation:

dont forget the decimal

Answer:

hypotenuse = 102.69

Step-by-step explanation:

7(13) + 4 = 95

3(13) = 39

hypotenuse² = 95² + 39² = 9025 + 1521 = 10546

hypotenuse = √10546 = 102.69

Answer:

Step-by-step explanation:

Let (h) is the hypotenuse so

[tex]h^{2} = {(7x + 4)}^{2} + {(3x)}^{2} \\ x = 13 \\ h^{2} = (95)^{2} + {(39)}^{2} \\ h = \sqrt{10546} \\ h = 102.7[/tex]

I hope that is useful for you :)

Answer:

45 m^2

Step-by-step explanation:

Step-by-step explanation:

the the height should be 16 cm I used the Pythagoras theory thank you.

Answer:

C

Step-by-step explanation:

EDGE 2021

Answer:

The odds against  a person selected at random from these 39 people testing negative on the test is 92.31%.

Step-by-step explanation:

In the group of 39 randomly selected people:

# of people tested negative: 36

36 / 39 = 92.31%

Answer:

387.50.

Step-by-step explanation:

Answer:

Max height: 64 feet, and the socond one was higher.

Step-by-step explanation:

The max height is the y value of the vertex, because that’s when the graph peaks.

we can already very clearly see the vertex on the graph, so we don’t need to calculate it.

the max height of the second golf ball is 64 feet.

Now let’s look at the max height on the first golf ball.

we get the equation

h=-16t squared + 48t

to find the vertex of this, we can use the formula -b/2a

-48/-32 = 1.5

1.5 is the t value of this vertex.

to find the h value, we plug it in.

h = -16 (1.5) squared + 48(1.5)

h =2.25 times -16 + 72

h = -36 +72

h = 36

the first one is 36 max height, and the second is 64. The second one is bigger.

Answer:

24

Explanation: base times height divided by 2

Answer:

D) 24

Step-by-step explanation:

Area of a triangle:

A = 1/2bh

Given:

b = 12

h = 4

Work:

A = 1/2bh

A = 1/2(12)(4)

A = 6(4)

A = 24

3.14 × 16 = 50.24

C is ur answer

now gimme brainliest

Answer:

B or the second one i did  my math

Step-by-step explanation:

Answer:

230

Step-by-step explanation:230

Answer:

63°

Step-by-step explanation:

1) Examing that right triangle, we can find the value of the angle x starting by using a trig ratio and then its reciprocal. Like this:

sin( x ) = 81/91

x = arcsin (81/91)

x = 62.88 = 63

Notice we have the opposite leg and the hypotenuse, so we started with the sine. And to find the value of the angle the arcsin.

2) So, that angle x is 63° (rounding off to the nearest degree)

Answer:

[tex]a_{n}[/tex] = n - 7

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence

d = - 5 - (- 6) = - 4 - (- 5) = - 3 - (- 4) = 1

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 6 and d = 1 , then

[tex]a_{n}[/tex] = - 6 + 1 (n - 1) = - 6 + n - 1 = n - 7

Answer:

The 6th term of the sequence is 6144/243

Step-by-step explanation:

From what we have, we can see that the sequence might be geometric

to confirm this, we have to check if the common ratio is the same all through

To know this, we have to divide the succeeding term by the preceding term and check if the results for two sets are equal

thus, we have it that;

32/3 * 1/8 = 8/6

= 4/3 = 4/3

We can confirm that the sequence is thus geometric

Now, to find the nth term of a geometric sequence, we have it that;

Tn = ar^(n-1)

where a is the first term, given as 6

r is the common ratio given as 4/3

n is the term number given as 6

Thus, we have this as:

T6 = 6 * (4/3)^(6-1)

T6 = 6 * (4/3)^5

T6 = 6144/243

Answer:

y+x = -4

Step-by-step explanation:

-4 indicates where the line intercept the y axis

if we put y=0 we can find where line intercepts the x axis.

it results x = -4

the two values are negative

Answer:

Step-by-step explanation:

1) a + a

2) 2n+4 = 6n

3)   1

4n = 4

n = 1

Answer:

2/11

Step-by-step explanation:

Let's say x = 0.18181818..

Then, 100x = 18.1818181....

so, if you put x in the repeating decimal in 18.1818,

you get the equation,

100x = 18+x

so, 99x = 18

x = 18/99 = 2/11

Answer:

18/100 = 9/50

Answer is 9/50

Do you really think you’re going to give me brainliest lol

Answer:

(x+1)(x+9)

Step-by-step explanation:

Hope this helps!

Answer:

Formula for circumference: 2 x pie(3.14 or 22/7) x radius(half of diameter or already given radius). Area of a circle: pie(3.14 or 22/7) x radius squared

Radius: 3, 6 is diameter and half of that is 3.

3 x 3.14 x 2 = 18.84 <------ circumference

3.14 x 3^2

3.14 x 9 = 28.26 <------ area of the circle

Area= 1/2 (a+b)h

1/2(1in. +3in.)1in.

1/2(4in.)1in.

2in.× 1in.

2in. Therefore the area is 2in.

Answer:

42 inches

Step-by-step explanation:

1 FT=12 inches

One half FT=6 inches

12×3=36

36+6=42

Answer:

42 inches

Step-by-step explanation:

The question is basically asking you to convert 3 1/2 ft into inches. Since there are 12 inches in a feet you have to multiply 3 1/2 by 12. It easier to do it when you turn 3 1/2 into a decimal, which would be 3.5. So then, you multiply 3.5 by 12, to get 42 inches.

12 inches = 1 feet

3 1/2 = 3.5

3.5 x 12 = 42

The house will be 42 inches tall.

Answer:

Hopefully it makes sense

Step-by-step explanation:

Good luck

Answer:

the answer should be 25, 32 , 40

Step-by-step explanation:

it does not follow the Pythagoras theorem

good day mate

Answer:

Answer is (a)

Step-by-step explanation:

Well I didn’t really do any work but you can tell right away theres a ton of slope options so you can’t eliminate from there, BUT when you look at the y-intercept, 3 is the only y-intercept option here and the only choice with the y-intercept of 3 is (a).

Answer:

143 ft2

Step-by-step explanation:

Formula for parrallelogram: A= BxH

13x11= 143