find the value of the missing angle (x)

Answer:

You will have 1.585 left after 35 years.

Step-by-step explanation:

Equation for amount of a substance:

The equation for the amount of a substance, using exponential decay, is given by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

The half-life of BRADIUM-29 is 15 years.

This means that [tex]A(15) = 0.5A(0)[/tex]. We use this to find r.

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]0.5A(0) = A(0)(1 - r)^{15}[/tex]

[tex](1 - r)^{15} = 0.5[/tex]

[tex]\sqrt[15]{(1 - r)^{15}} = \sqrt[15]{0.5}[/tex]

[tex]1 - r = (0.5)^{\frac{1}{15}}[/tex]

[tex]1 - r = 0.9548[/tex]

Then

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = A(0)(0.9548)^t[/tex]

You have 8 ounces of this strange substance today

This means that [tex]A(0) = 8[/tex]. So

[tex]A(t) = A(0)(0.9548)^t[/tex]

[tex]A(t) = 8(0.9548)^t[/tex]

How much will you have left after 35 years?

This is A(35). So

[tex]A(t) = 8(0.9548)^t[/tex]

[tex]A(35) = 8(0.9548)^{35} = 1.585[/tex]

You will have 1.585 left after 35 years.

Answer:

2-(-5)

Step-by-step explanation:

Answer:

D. 151 cu. in.

Step-by-step explanation:

Given: Cone; Radius = 4 in, Height = 9 in.

To find: The volume of the specified cone

Formula: [tex]V=\frac{1}{3} h\pi r^2[/tex]

Solution: A cone is a solid that has a circular base and a single vertex. To calculate its volume multiply the base area (area of a circle: π × r²) by height and by [tex]\frac{1}{3}[/tex] : volume = ( [tex]\frac{1}{3}[/tex] ) × π × r² × h.

Answer:

Yellow.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes. Experimental probability is found taking into account previous experiments.

In this question:

6 + 5 + 4 + 10 = 25 total marbles.

The experimental probabilities are:

6/25 probability it is red.

5/25 = 1/5 probability it is yellow. Thus, the answer is yellow.

4/25 probability it is blue.

10/25 = 2/5 probability it is green.

Answer:

75.949367088608%

Step-by-step explanation:

Answer:

79 is 131.66% of 60

Step-by-step explanation:

Answer:

(x - 4)^2 + (y + 3)^2 = 25.

Step-by-step explanation:

The standard form is (x - j)^2 + (y - k)^2 = r^2.

Answer:

The answer is B 93 sq cm

Step-by-step explanation:

In order to find the area, we need to split the figure into two.

Please see the attached image.

Hope this helps :-)

The probability that the next person will purchase more than one costume is 0.03

We have the following details to solve the problem with

The people that did not purchase any costume = 103

Those that purchased exactly one costume = 161

Those that purchased more than one costume = 7

The total number of persons that we have here would be

103 + 161 + 7

= 271

We are to find the probability that the next would purchase more than 1 costume.

This is given as:

7 / 271 = 0.0258

To the nearest hundredth = 0.03

Hence, 0.03 is the probability that the next person is going to buy more than one costume.

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Answer:

81%

Step-by-step explanation:

27 no costume, 112 exactly one costume, 3 more than one costume.

27+112+3=142

There were a toal of 142 customers. 112+3=115 visitors purchased one or more costumes costumes.

Probability the next visitor will purchase one or more costumes:

115/142=0.809859

0.809859 times 100% = 80.9859%

which rounds to 81%

The probability as a percent to the nearest whole number is 81%

Answer:

20•2^51

Step-by-step explanation:

The expression that gives the goal for the 52nd week is 20(2)⁵¹.

Week   1      2     3      4      5

Goals  20   40   80   160   320

This means the numbers are goals are increasing geometrically.

A geometric progression is a series in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio.

We know the nth term of a GP = arⁿ⁻¹

Where a is the first term and r is the common ratio.

In our problem, a=20 and r=40/20=2

So, the 52nd term of the GP = 20(2)⁵²⁻¹

The 52nd term of the GP =20(2)⁵¹

Hence, the expression that gives the goal for the 52nd week is 20(2)⁵¹.

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Answer:

A) 6.25x+7.50=26.25

Step-by-step explanation:

To find how much she payed for every round she played (woah that rhymed) you multiply 6.25 by the amount of rounds she played, which is x.

That's where we get 6.25x

7.50 is the base cost, so she will pay that much regardless of how much she played.

26.25 is the total amount of money spent. The admition cost and how much she spent on playing ads up to her total cost

Answer:

The total weight of the heap is 16,200 kilograms.

Step-by-step explanation:

Given that a heap of yam contain 40 tuber, to determine the total weight of the heap if the average weight of each tuber is 5 3 ^ 4kg, the following calculation must be performed:

(5x3 ^ 4) x 40 = X

(5x81) x 40 = X

405 x 40 = X

16,200 = X

Therefore, the total weight of the heap is 16,200 kilograms.

the answer is b the ratio would be 4:20 but it is simplified, therefor 1:5

Answer:

Your answer is A

Step-by-step explanation:

If you use substitution for 4x-8 then you get: 4(7)-8.

28-8 = 20

Answer:

61°

Step-by-step explanation:

Line a and line b are parallel. Angle 1 is equal to 61° because they are corresponding angles.

ah yes periods. are you on your period right about now?

Answer:

1428m

Step-by-step explanation:

Answer:

1428m

Step-by-step explanation:

Answer: D. 32

Step-by-step explanation: 64^(5/6)=32 just trust me

The solution of the expression will be 32. The correct option is D.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

The given expression [tex]64^{\frac{5}{6}}[/tex] will be calculated as:-

[tex]64^{\frac{5}{6}} = (2)^{6})^{\frac{5}{6}[/tex]  

Use the propwerty of exponents,

[tex]64^{\frac{5}{6}} = 2^5[/tex]

[tex]64^{\frac{5}{6}}=32[/tex]  

Therefore, the solution of the expression will be 32. The correct option is D.

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Answer: D

Step-by-step explanation:

Answer:

276

Step-by-step explanation:

17 gallons is 272 cups and just add 4 to it hope this helps

Answer:

H

Step-by-step explanation:

35,000 *2.50=87,500

Answer: b is the answer

Step-by-step explanation:

Answer:

about 2/216 or 1/108

Step-by-step explanation:

the probability of it rolling 1 is 1/6. The probability of it rolling a 2 is 1/6. 1/6 times 1/6 is 1/36. the probability of it rolling a number greater than 4 is 2/6 since 5 and 6 are greater than 4. 1/36 times 2/6 is 2/216. Simplified is 1/108

Answer:

36 answer

Step-by-step explanation:

Answer:

The number of earned runs is 28.

Step-by-step explanation:

Earned runs average:

The earned runs average of a pitcher is the number of runs the he/she gives each 9 innings on average.

Find the number of earned runs when the pitcher has an ERA of 2.25 after pitching 112 innings in the next season.

Solved by proportions, using a rule of three.

For each 9 innits, the pitcher gives 2.25 runs. How many runs for 112 innings?

9 innings - 2.25 runs

112 innings - x runs

Applying cross multiplication:

[tex]9x = 2.25*112[/tex]

[tex]x = \frac{2.25*112}{9}[/tex]

[tex]x = 28[/tex]

The number of earned runs is 28.