From her home, Adriana would have to walk due north to get to her friend Gavin's house and due east to get to her friend Zach's house. It is 3 miles from Adriana's house to Zach's house and a straight-line distance of 5 miles from Gavin's house to Zach's house. How far is Adriana's house from Gavin's house?'

Answer: [tex](b)[/tex]

Step-by-step explanation:

Given

Initial mass of radium is [tex]A_o=1.5\ mg[/tex]

It decays by half every 6 years i.e. [tex]T_{\frac{1}{2}}=6[/tex]

For radioactive decay, sample at any time is given by

[tex]\Rightarrow A=A_o2^{-\dfrac{t}{T_{\frac{1}{2}}}}[/tex]

Insert the values

[tex]\Rightarrow A=1.5\cdot 2^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot \left(\dfrac{1}{2}\right)^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot (0.5)^{\dfrac{t}{6}}[/tex]

Thus, option  (b) is correct.

Answer:

1

Step-by-step explanation:

we have the probability of dyng = 1.3

we have probability of ying =

p0 = p1 = p2 = p3 = 1/3

d = dying

[tex]d=\frac{1}{3} (1+d+d2)[/tex]

we cross multiply from here

3d = 1+d+d2

3d-d = 1+d2

2d = 1 + d2

(d-1)2 = 0

2d - 2 = 0

2d = 2

divide through by 2

d = 1

therefore there is a a confirmed probability that the ameba from a single cell is eventually going to die out.

Answer:

C. 69.08 inches

Step-by-step explanation:

Find the distance the wheels will travel by finding the circumference of the wheel.

Use the circumference formula, C = 2[tex]\pi[/tex]r

Plug in 11 as r in the equation, and 3.14 as pi, then solve:

C = 2[tex]\pi[/tex]r

C = (2)(3.14)(11)

C = 69.08

So, the correct answer is C. 69.08 inches

Answer:

69.08 inches

Step-by-step explanation:

We can plug in the known value into the equation for circumference: [tex]C = 2\pi r[/tex]

Using 3.14 as [tex]\pi[/tex] we get:

[tex]C=69.08[/tex]

Now multiply the circumference by revolutions to get distance:

69.08 x 1 = 69.08

Note that the distance is in inches because the radius is in inches.

Answer:

70.69

Step-by-step explanation:

Area = [tex]\pi r (r + \sqrt{h^2+r^2} )[/tex]

Area = [tex]\pi (2.5) (2.5 + \sqrt{(6)^2+(2.5)^2} )[/tex]

Area = 70.68583471

Area = 70.69

answer: 72

wordswordswords

Answer:

The answer is letter D

Explanation:

Hope it helps!

Answer:

D is the right answer ✔

Explanation:

Answer:

43

Step-by-step explanation:

64-21= 43 :))))) ez

Answer:

43

Step-by-step explanation:

I hope you pass your test!

EDG2021 <3

24+45+281+50=400

(45+n/400)×100=18

45+n=18×4=72

n=72-45=27

50-27=23.

hope it's correct

23 of the 50 children added were boys. The answer is 23 boys

Given that 24 boys, 45 girls and 281 adults are the members of a badminton club.

Total number of people as members of badminton = 24 + 45 + 281 = 350

Percentage of girls = girls/total number x 100

% of girls = 45/350 x 100

% of girls = 12.9%

If 50 more children join the club, and the number of girls is now 18% of the total number of members. Then, the new total number of members will be

New total members = 350 + 50 = 400

Let g = new added girls from the children

Percentage of girls = girls/total number x 100

18 = (g + 45) / 400 x 100

18/100 =  (g + 45) / 400

cross multiply

0.18 x 400 = g + 45

72 = g + 45

make g the subject of formula

g = 72 - 45

g = 27 girls

To get the number of boys added, take 27 away from the 50 children. That is,

The number of boys added = 50 - 27 = 23 boys

Therefore, 23 of the 50 children added were boys

Learn more about arithmetic here: https://brainly.com/question/6561461

Answer:

A

Step-by-step explanation:

The values will increase because the multiplier is greater than 1 (1.05).

Answer:

1/18 i think

Step-by-step explanation:

The probability of occurring 3 both times will be 1/36.

The probability of an event occurring is defined by probability.

Probability is also called the chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

Do not take underestimate probability it has several uses in daily life whether forecasts or like that.

Probability of occurring 3 for the first time ⇒

number of outcomes/number of sample

Sample space {1,2,3,4,5,6} and outcome is 3

So,

P = 1/6

Probability of occurring 3 in second time⇒

number of outcomes/number of sample

Sample space {1,2,3,4,5,6} and outcome is 3

So,

P = 1/6

So,

Probability of occurring 3 both times = 1/6 × 1/6 = 1/36

Hence "The probability of occurring 3 both times will be 1/36".

For more information about the probability,

brainly.com/question/11234923

#SPJ2

Answer:

387 is the answar because number of milk sold on monday is 212 and in tuesday 175

212+175=387

Answer:

387

Step-by-step explanation:

The addition of milk sold on monday with milk sold on tuesday

which is

212+175=387

Step-by-step explanation:

Answer:

y = 5.66388 feet, (round that to whatever you need to round to)

Step-by-step explanation:

cos (51) = y/9

cos(51)*9=

y = 5.66388 feet

Answer:

x  =  14 ft

y  =  56 ft

A(max corral)  =  784/3   =  261.33 ft²

Step-by-step explanation:

Let´s call y the side parallel to the barn, then only one y is going to be fenced.

If we are going to divide the area in three identical corrals we need 4 times x ( the other side perpendicular to the barn)

The perimeter of the rectangular area ( divide in three identical corrals)

112  =  y  +  4*x        or    y  =  112  -  4*x

A (r)  =  x*y

Area as a function of x  is

A(x) = x* ( 112  -  4*x)        A(x)   =  112*x  -  4*x²

Tacking derivatives on both sides of the equation

A´(x)  =  112  - 8*x       A´(x) = 0    112  -  8*x  =  0

x  =  112/8

x  =  14 ft

And  y  =  112  -  4*x     y  =  112 - 56

y  =  56 ft

A(max)  =  14 * 56  =  784 ft²

A(max corral)  =  784/3   =  261.33 ft²

How do we know the area is maximum, tacking the second derivative

A´´(x)  =  - 8     A´´(x) < 0

Then the function A(x) has a maximum at the point x = 14

Answer:

14ft by 18 2/3 ft

Step-by-step explanation:

the answer of this equation is 6

Answer:

£6.00

Step-by-step explanation:

15/100×40

=£6.00

Answer:

for B based on the information givin the answer would be 8 4/7

hope this helps

Answer:

60/7 or 8 4/7

Step-by-step explanation:

Take the length of one of your rods and multiply by 15.

4/7 x 15/1 = 60/7 or 8 4/7

Answer:

The volume of the cone is of 18h, in which h is the height of the cone.

Step-by-step explanation:

Volume of a cone:

The volume of a cone with base area [tex]A_b[/tex] and height h is given by:

[tex]V = \frac{A_bh}{3}[/tex]

Area of base = 54 cm

This means that [tex]A_b = 54[/tex] and thus:

[tex]V = \frac{54h}{3} = 18h[/tex]

The volume of the cone is of 18h, in which h is the height of the cone.

Answer:

C) The mean is about 100.

Step-by-step explanation:

We see that the best fit line (out of the options listed) would be y=100. The mean can also be algebraically calculated with the following equation:

Let [tex]a[/tex] be the mean (average) of the values:

[tex]a=\frac{75+50+100+125+75+150}{6}=95.8\overline{3}[/tex], which is closest to answer choice C) The mean is about 100.

Answer:64

Step-by-step explanation:

Answer: 4 to the third power is represented as:

4^3 = 64

Hope this helped!

Answer:

Step-by-step explanation:

area of square=l^2

=12^2

=144 in.^2

Answer:

total number of people on Friday = 285

total number of people on Saturday = 355

total increment = 355-285 = 70

total increase percentage = 70÷285*100

= 24.56%

hope it helps!

Answer:

c = 10*b

Step-by-step explanation:

We know that in each bag, we have exactly 10 sliced carrots.

so if b represents the number of bags, and c the number of sliced carrots, for each one of the b bags we will have 10 sliced carrots, then for b bags, we have b times 10 carrots:

c = 10*b

So for example, if we have one bag, b = 1

c = 10*1 = 10

So in one bag, there are 10 carrots.

if instead, we have 3 bags, b = 3

c = 10*3 = 30

in 3 bags we have 30 carrots.

Then the equation that represents the relationship between b and c is:

c = 10*b

or

b = c/10

Answer:

3 , 9/2

Step-by-step explanation:

(3- y) (2 y– 9)=0

y=3 , y= 9/2

Answer:

23 students letter d ran the 50 yard dash

Answer:

18

Step-by-step explanation:

the time of the students:

23,24,24,28,32,32,34,35,37,37,38,41,43,56,55,55,56,61

there are 18 number so 18 students did it

Answer:

4 weeks

Step-by-step explanation:C. 5 weeks 90+48 138

88+40 138

Step-by-step explanation:

s

Answer: shehshywhwyw

Step-by-step explanation: