In Aarons grade 7 class, 1 in every 3 students has a brother. However, for the school overall, 5 out of every 12 grade 7 students (including Aaron and his class) have a brother.

Only \(0.03125 ml\) of the technetium-99m will be left after 24 hours.

After 6 hours, half of the original amount will decay.

After another, leaves 1/4 of the original amount.

After another, leaves 1/8 of the original amount.

After another, leaves 1/16 of the original amount.

We will below formula calculate the amount of technetium-99m left after 24 hours: N = N0 * (1/2)^(t/T)

N = 0.5 * (1/2)^(24/6)

N = 0.5 * (1/2)^4

N = 0.5 * 1/16

N = 0.03125 ml

Read more about technetium-99m

brainly.com/question/23578675

#SPJ1

Answer:

A. Reflection

B. Enlargement

C. Rotation

D. Reflection

E. Translation

F. Reflection

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

we are given that angle NRQ is 78 degrees

we can see from the figure that the sum of the given angles is angle NRQ

so

(8x + 7) + (4x - 1) = 78

12x + 6 = 78

12x = 72

x = 6

Now, we have to find angle PRQ

replacing x with 6 in the equation of angle PRQ

PRQ = 4(6) - 1

PRQ = 23

Answer: 10

Step-by-step explanation: it is a 5+ 5 =

Answer:

1

Step-by-step explanation:

To divide 2 fractions, you have to use the reciprocal of the latter fraction.

The reciprocal of 12/38 is 38/12

Now you can multiply

6/19*38/12 = 1

Answer:

2×r+10 and 3×r+1

Step-by-step explanation:

a. 9+20= 29

b. 2×9+10= 18+10 = 28

c. 4x9-10 = 36-10 =26

e. 3×9+1 = 27 +1 = 28

the correct answer are 2×r+10 and 3×r+1

Step 1: Write out the probability function

Given the value of the Z score to be 4.472, it cannot be found on the Z table.

Hence, the service costs are not normally distributed so we cannot compute the probability, Option D

The perimeter of the parallelogram will be D. 2✓26 i+ 8.

It should be noted that the perimeter of the parallelogram will be calculated by using the formula for distance between point.

For WX, the coordinate are (-2, 4)(2, 4)

d = ✓2 - (-2)² + (4 - 4)²

= ✓16 - 0.

= ✓16

= 4

For XY, this will be illustrated as:

d = ✓(1 - (2)² + (-1 - (4)²

= ✓1² + 5²

= ✓1 + 25.

= ✓26

Since the other sides are parallel, the perimeter of the parallelogram will be:

= 2(4) + 2✓26

= 2✓26 + 8

Learn more about perimeter on

brainly.com/question/19819849

#SPJ1

If you do in fact mean \(f(1)=f(6)=0\) (as opposed to one of these being the derivative of \(f\) at some point), then integrating twice gives

\(f''(x) = -\dfrac1{x^2}\)

\(f'(x) = \displaystyle -\int \frac{dx}{x^2} = \frac1x + C_1\)

\(f(x) = \displaystyle \int \left(\frac1x + C_1\right) \, dx = \ln|x| + C_1x + C_2\)

From the initial conditions, we find

\(f(1) = \ln|1| + C_1 + C_2 = 0 \implies C_1 + C_2 = 0\)

\(f(6) = \ln|6| + 6C_1 + C_2 = 0 \implies 6C_1 + C_2 = -\ln(6)\)

Eliminating \(C_2\), we get

\((C_1 + C_2) - (6C_1 + C_2) = 0 - (-\ln(6))\)

\(-5C_1 = \ln(6)\)

\(C_1 = -\dfrac{\ln(6)}5 = -\ln\left(\sqrt[5]{6}\right) \implies C_2 = \ln\left(\sqrt[5]{6}\right)\)

Then

\(\boxed{f(x) = \ln|x| - \ln\left(\sqrt[5]{6}\right)\,x + \ln\left(\sqrt[5]{6}\right)}\)

we have that

Josef’s sediment is 0.012 mm

Matthew’s deposit is 10^2 times as long as Josef’s

so

Matthew’s deposit=10^2*(0.012)=100*0.012=1.2 mm

therefore

The answer Part B is 1.2 mm

Part C

To obtain the answer to Part B, multiply the diameter of Josef’s sediment by the factor 10^2

Answer:

4

Step-by-step explanation:

I like to use the FOIL method! I've attached a quick picture of how it works below, but basically you multiply the first terms. Next, multiply the outside/outer terms. Then, multiply the inside/inner terms. Lastly, you multiply the last terms.

In this question, the binomial is (x + 2)².

You can expand this to be (x + 2)(x + 2).

When you expand it using the FOIL method, you get x times x, which is x².

Next, the outside/outer terms are x and 2, which is 2x.

Then, you multiply the inside/inner terms 2 and x, which is 2x.

Last, you multiply the last terms, which are 2 and 2, which is 4.

When you put them together, it looks like this:

x² + 2x + 2x + 4.

You can simplify this to x² + 4x + 4.

So your answer is 4.

Answer:

32 goldfish

Step-by-step explanation:

Given:

Number of fish per tank = water per tank ÷ water per goldfish

                                        = 5544 ÷ 1386

                                        = 4

Therefore, each tank can hold a maximum of 4 goldfish.

Greatest number of goldfish = number of tanks × fish per tank

                                               = 8 × 4

                                               = 32

Answer:

The speed of the boat is 24 kilometers per hour, and the speed of the stream is 2 kilometers per hour.

Step-by-step explanation:

Given that a riverboat travels 52 km downstream in 2 hours, and it travels 66 km upstream in 3 hours, the following calculations must be performed to find the speed of the boat and the speed of the stream:

Downstream = 52/2 = 26

Upstream = 66/3 = 22

Stream = 4/2 = 2

Therefore, the speed of the boat is 24 kilometers per hour, and the speed of the stream is 2 kilometers per hour.

Answer:

First of all, you need to give us the problem dum a

Step-by-step explanation:

.

Answer:

Not sure what number 1 is but number 2 is true.

Step-by-step explanation:

Answer:

\(volume = 502.4ft^3\)

Step-by-step explanation:

\(volume = \pi r^2 h = 3.14 \times 4^2 \times 10 = 502.4ft^3\)

Let's begin by listing out the information given to us:

r (1) = 11.4 cm, θ (1) = 70°, θ (2) = 40°, r(2) = ?

The arc length is the same for the 2 circles

r (1) * θ (1) = r (2) * θ (2)

11.4 * 70° = r (2) * 40°

r (2) = 11.4 * 70 ÷ 40

r (2) = 19.95 cm

Hence, the radius of the larger circle is 19.95 cm

Answer: 12 seconds

Step-by-step explanation:

Step 1: Find the unit rate

1÷0.5=2

1 picture takes 2 seconds

Step 2: Find amount of time taken to snap 6 pictures

2*6= 12

Answer:

-90=\(x\)(\(x\)-18)

-90=\(x^{2}\)-18\(x\)

\(0=x^{2}-18x+90\)

\(x=9+3i or 9-3i\)

Step-by-step explanation:

you need to use quadratic formula and you will find square root a negative ( -9 ), which is an imaginary no.

square root (-9) = 3i

Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

Answer: 36 Pieces In The Entire Cake

Step-by-step explanation: Memo had 1/4 pieces of the total cake, so that means that there were four times the value of what Memo ate in the cake, plus what Molly ate. 12 - 4 = 8, 8 times 4 is 32, and 32 plus 4 (what Molly ate) is 36. Hope that helped!

We can find it using the following formula:

Answer:

part A is 32 and part b is 7.42

Step-by-step explanation:

i think im right i did all the calculations

Answer:

A=32

B=14

Step-by-step explanation:

To get the Mean Add the 7#’s then divide by 7

For the absolute deviation you need the POSITIVE difference Between the mean and each number. Add these numbers and divide by 7.

32-24=8

32-19=13

32-25 = 7

32-20 = 12

32-23 = 9

32-58 = 26 Do you not make this a negative number

32-55 = 23

Answer:

x  =  0,41 m    or    x  =  41 cm

r  =  2,18 m

Step-by-step explanation:

Window which allow most light is that with maximum area

The perimeter of the window is the perimeter of the semicircle  (psc ) plus the perimeter of the three sides of the rectangle, sides of the rectangle are  2*x  and 2*r  then:

pt  =  12  =  psc  + pr

psc = π*r       pr  =  2*x  + 2*r

pt  =  π*r  + 2*x  + 2*r      

pt  =  12  = π*r  + 2*x  + 2*r  (1)

The area of the window is:

A(w)  = area of the semicircle  ( π*r²/2 )  +  area of the rectangle (x*2*r)

A(w) =  ( π*r²/2 )   +  2*x*r

Using (1)  we get:   12  =  r* ( π + 2 ) + 2*x

r  =  ( 12 - 2*x ) / ( π + 2 )

Plugging that value in A(w) we find total area A(w) as a function of x

A(x)  =   π* [  (12 - 2*x ) / ( π + 2 )]²/ 2  +  2*x*( 12 - 2*x ) / ( π + 2 )

A(x)  =   π* [ 144 + 4*x² - 48*x/ ( π + 2 )² +  24*x  + 4*x²/  ( π + 2 )

A(x)  =  [  π*/  ( π + 2 )² ] * (144 + 4*x² - 48*x ) +  24*x  + 4*x²/  ( π + 2 )

Tacking derivatives on both sides of the equation:

A´(x)  =  [  π*/  ( π + 2 )² ]* 8*x - 48  + (  24 + 8*x )/ ( π + 2 )

A´(x)  = 0       [  π*/  ( π + 2 )² ]* 8*x - 48  + (  24 + 8*x )/ ( π + 2 ) = 0

π* (8*x - 48) /  ( π + 2 )    +  24  +  8*x  =  0

8*π*x  - 48*π  + ( 24  +  8*x ) *( π + 2 ) = 0

8*π*x  - 48*π  + 24*π  +  48  + 8*π*x + 16*x = 0

16*π*x  - 24*π + 16*x  + 48  = 0

x ( 16*π + 16 ) - 24*π + 48  = 0

66,24 * x   =  75,36 - 48

x  =  27,36 / 66,24 m

x  =  0,41 m    or    x  =  41 cm

r  =  ( 12 - 2*x ) / ( π + 2 )

r  =  12 - 2* 0,41 / 3,14 + 2

r  =  11,18 / 5,14

r  =  2,18 m

Answer:

3 terms

Step-by-step explanation:

4 4x and 9x

Answer:

If a TV costs Rs. 15,000 and a 5% discount is allowed, the price after the discount is:15000 - (5/100) * 15000 = 14250Now, if a 15% Value Added Tax (VAT) is added to this discounted price, the final price becomes:14250 + (15/100) * 14250 = 16387.50Therefore, the price of the TV after allowing a 5% discount and adding a 15% VAT is Rs. 16,387.50.

Answer: $1.50

Step-by-step explanation: 1. subtract the 3.25 from 4.50 to get a difference that is the price of the added hotdog 2. now that you know each hot dog cost $1.25 you can do 3.25 - 2(1.25) to get 0.75 which is the price of one soda. 3. You can no multiply $0.75 by two (the amount of sodas) to get the answer $1.50.

Answer:

See below!

Step-by-step explanation:

254, 202, 284, 269, 151, 258, 202

Mean of the data:

\(\displaystyle Mean= \frac{Sum \ of \ data}{number \ of \ data} \\\\Mean = \frac{254+202+284+269+151+258+202}{7} \\\\Mean=\frac{1620}{7} \\\\\boxed{Mean = 231.4}\)

Median of data:

Arrange the data in increasing order.

151, 202, 202, 254, 258, 269, 284

The middle value = 254

So,

Mode in data:

The mode, here, is 202. (occurring 2 times.)

So,

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

Answer:

ΔABC = ΔCDA

Step-by-step explanation:

Answer:

The person used 1/10 (one tenth) of the can to paint one chair.

Step-by-step explanation:

If she used 9/10 of the can to paint 9 chairs using same amount with each, then for each chair she used:

9/10 divided by 9 = 9/10 * 1/9 = 1/10 of the can.