Element X decay radioactively with a half life of 14 minutes. if there are 490 g of element X how long to the nearest 10th of a minute will it take the elements of a case of 123 g

Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

A continuous random variable is one that has a range of possible values. In other words, if a random variable adopts a value that fits within a specific range, it is said to be continuous.

Measurements like height, weight, and time are all represented by continuous random variables. A continuous random variable is represented as the area under a density curve. The concept of a continuous random variable, as well as its mean, variance, types, and related examples

P(X < 0.35) = 0.35

P(X = 0.35) = 0 since X is a continuous random variable and the probability of a specific value is 0.

P(0.35 < X < 1.25) = 1.25 - 0.35 = 0.9

P(0.10 < X < 0.20 or 0.6 < X < 0.9) = (0.20 - 0.10) + (0.9 - 0.6) = 0.3

P(X < 0.5 or X > 0.6) = (0.5 - 0) + (1 - 0.6) = 0.9

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The system of equations represented by the graph is:

y = x - 6

y + x = -2

And the solution is (2, -4), then the correct option is the first one.

On the graph, we can see a system of linear equations, we can see a line with a positive slope and a line with a negative slope.

The line with a positive slope intercepts the y-axis at y = -6, then that line is:

y = a*x - 6

with a > 0.

The other line passes through the y-axis at y = -2, then the linear equation is:

y = b*x - 2

Where b < 0.

Also, remember that the solution for the system of equations is the point where the two lines intersect, so we can see that the solution is at (2, -4)

The only option that meets all the criteria is the first option:

y = x - 6

x + y = -2

And the solution is (2, -4)

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Answer:

20/121

Step-by-step explanation:

\(ab=\left(\frac{2}{11} \right) \left(\frac{10}{11} \right) \\ \\ =\frac{(2)(10)}{(11)(11)} \\ \\ =\frac{20}{121}\)

On solving the given equation, we have - 125 adult tickets and 179= children tickets.

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

301= 104

6.40 =2.25

4.00=1.75

Suppose the number of adult ticket bought =x

And number of children tickets bought =  (301-x).

equation is

6.40(x) + 4(301-x) = 1504

6.40x + 1204 - 4x = 1504

2.40x = 300

x= 125

125 adult tickets and 179= children tickets.

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The length of the sides of triangle ABC are: 6, 8, and 12.

One of the conditions that two triangles are similar is their Three pairs of corresponding sides are proportional.

In the given problem, the ratio of the sides of triangle ABC is 3 : 4 : 6

Another triangle, let's say triangle DEF, is made with its vertices at midpoints of the sides of triangle ABC.

Hence, all three pairs of corresponding sides have the same proportion.

AB/DE = BC/EF = AC/DF = 1/2

Due to similarity, the ratio of the sides of triangle DEF is also 3 : 4 : 6.

ratio f sides : perimeter = 3 : 4 : 6 : 13

Since its perimeter is 13, it means that the length of sides of triangle DEF are: 3, 4, and 6

Length of the sides of triangle ABC = 2 x length of the sides of Δ DEF

Length of the sides of triangle ABC are: 6, 8, and 12.

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Answer:

To fill in the table of values for the equation y = 2x + 1, we can choose different values of x and substitute them into the equation to find the corresponding values of y. For example:

x y

0 1

1 3

2 5

3 7

4 9

To get the value of y, we substitute each value of x into the equation and simplify:

When x = 0:

y = 2(0) + 1 = 1

When x = 1:

y = 2(1) + 1 = 3

When x = 2:

y = 2(2) + 1 = 5

When x = 3:

y = 2(3) + 1 = 7

When x = 4:

y = 2(4) + 1 = 9

Therefore, the table of values for the equation y = 2x + 1 is:

x y

0 1

1 3

2 5

3 7

4 9

The value of x is equal to 4 and the length of segment DE is equal to 44.

Option (C) is correct.

It is required to find the scientific notation.

The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

Given:

Since S is the midpoint of line segment DE, it simply means that line segment DE is divided into two (2) sections DS and SE and they are equal in length. By applying the midpoint rule, we have:

DS = SE

3x + 10 = 6x - 2

6x - 3x = 10 + 2

3x = 12

x = 12/3

x = 4.

For the measure of segment DS, we have:

DS = 3x + 10

DS = 3(4) + 10

DS = 12 + 10

DS = 22.

For the measure of segment SE, we have:

SE = 6x - 2

SE = 6(4) - 2

SE = 24 - 2

SE = 22.

For the measure of segment DE, we have:

DE = DS + SE

DE = 22 + 22

DE = 44.

Therefore, the value of x is equal to 4 and the length of segment DE is equal to 44.

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The probability that at least 2 students feel like they can do better in their math class is E. 0.9130.

To find the probability that at least 2 students feel like they can do better, we need to calculate P(X >= 2). This can be done using the cumulative distribution function (CDF) of the binomial distribution:

P(X >= 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)

Using the binomial probability formula, we can calculate:

P(X = 0) = (5 choose 0) * 0.6^0 * 0.4^5 = 0.01024

P(X = 1) = (5 choose 1) * 0.6^1 * 0.4^4 = 0.07680

Therefore,

P(X >= 2) = 1 - 0.01024 - 0.07680 = 0.91296

Rounding this to four decimal places, we get: 0.9130

Therefore, the answer is option E: 0.9130.

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Answer:

D. Point

Step-by-step explanation:

A plane is two dimensional surface, For example

if we have a x and y axis and there is a square on it then it will a plan on x and y axis.

If there is a line perpendicular to the plane then then line will be on third dimension that is z axis.

If a line from third dimension intersect at plane then it will intersect at only on point.

It can be explained by

suppose you have have square paper. Then it is a plane (let say x and y axis)

now if you put a pencil on it thoroughly straight, then that pencil will be meet the paper at one point only. If that pencil passes through paper it will not touch paper at any other point apart from the point where it touch the paper.

Thus,

based on this discussion we can say that

A line perpendicular to a plane, would intersect the plane at one D. point

Answer:WY=24 hope this helps

Step-by-step explanation:refer the attachment

remember that,

the diagonals of Parallelogram bisect each other so WA=AY

thus our equation is

move left hand side expression to right hand side and change its sign:

rewrite 2x and 4x-6x:

factor out x:

factor out -6:

group:

recall that,

When the product of factors equals 0 then at least one factor is 0 so

since the length cannot be negative negative x isn't available

therefore

since WA and AY are the part of WY we acquire:

substitute the got value of x:

simplify square:

simplify multiplication:

simplify addition:

simplify substraction:

Answer: WY = 24

Mark me brainliest thank you.

Answer:

1/3

Step-by-step explanation:

11/18 - 4/9 + 1/6

= 1/6 + 1/6

= 1/3

The value of the fraction is 1/3.

PEMDAS rule is the same as BODMAS rule.

PEMDAS is the abbreviation for Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.

Given fraction is : (11/18 - 4/9) + 1/6

We have a parenthesis (brackets) in the given expression. First solve the operations inside the bracket.

And multiply the fraction 4/9 with 2 on both numerator and denominator.

(11/18 - 4/9) + 1/6 = (11/18 - 8/18) + 1/6

                           = 3/18 + 1/6

There is only an operation of addition left.

Multiplying both numerator and denominator of 1/6 with 3,

(11/18 - 4/9) + 1/6 = 3/18 + 3/18

                           = 6/18

                           = 1/3

Hence the value of the fractional expression given is 1/3.

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The graph of changing length of shadow of a stick from 12pm to 5pm shows that length of shadow increases.

When an object (like the stick in the cartoon) blocks some of the Sun's light, it casts a shadow. The shadow always points away from the Sun. How long the shadow is depends on how low or high the Sun is in the sky. If the Sun is low, we see a longer shadow. Is the Sun is high, we see a shorter shadow.

Length of shadow due to the Sun's light is smallest when the Sun is vertically above. This happens at 12 noon.

Thus the graph of changing length of shadow of a stick from 12pm to 5pm shows that length of shadow increases.

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Answer:

10-x

Step-by-step explanation:

Answer:

f^-1(x) = log2(f^-1(x) – 1 + 3).

Step-by-step explanation:

The inverse of a function "f" is denoted as "f^-1", and it reverses the effect of the original function. In other words, if "f(x)" is a function that maps some input "x" to an output "y", then the inverse function "f^-1(x)" would map the output "y" back to the original input "x".

In this case, to find the inverse of the function f(x) = 2^x + 1 – 3, we can follow these steps:

Swap the roles of x and y in the original equation to obtain y = 2^x + 1 – 3.

Solve for x in terms of y to obtain x = log2(y – 1 + 3).

Replace y with the inverse function notation f^-1 to obtain f^-1(x) = log2(f^-1(x) – 1 + 3).

Therefore, the inverse of the given function f(x) = 2^x + 1 – 3 is f^-1(x) = log2(f^-1(x) – 1 + 3).

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer: WX, ZY and WX and AB.

The 2nd one is correct.

The central limit theorem states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

what is normal distribution?

A normal distribution is a bell-shaped probability distribution that is symmetrical and characterized by its mean (μ) and standard deviation (σ). It is also known as a Gaussian distribution, after the mathematician Carl Friedrich Gauss.

However, for smaller sample sizes, the distribution of sample means may still resemble the shape of the population distribution.

Here are some more specific descriptions of the distribution of sample means for different population distributions:

1. Rectangular distribution: The distribution of sample means will approach a normal distribution as the sample size increases, with the mean and median at the center of the distribution.

2. Uniform distribution: The distribution of sample means will also approach a normal distribution as the sample size increases, with the mean at the center of the distribution.

3. Normal distribution: The distribution of sample means will be a normal distribution regardless of sample size, with the mean and median at the center of the distribution.

4. Positively skewed distribution: The distribution of sample means will approach a normal distribution as the sample size increases, but the mean will be higher than the median.

5. Nonmodal distribution: The distribution of sample means will approach a normal distribution as the sample size increases, but the exact shape will depend on the specifics of the nonmodal distribution.

6. Multimodal distribution: The distribution of sample means will also approach a normal distribution as the sample size increases, but the exact shape will depend on the specifics of the multimodal distribution.

7. Negatively skewed distribution: The distribution of sample means will approach a normal distribution as the sample size increases, but the mean will be lower than the median.

Therefore, central limit theorem states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

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Answer:

Diet and behavior

These awe-inspiring giants tend to be solitary animals—with the exception of females and their cubs—but at times they do congregate. Dramatic gatherings of grizzly bears can be seen at prime Alaskan fishing spots when the salmon run upstream for summer spawning. In this season, dozens of bears may gather to feast on the fish, craving fats that will sustain them through the long winter ahead.

Brown bears dig dens for winter hibernation, often holing up in a suitable-looking hillside. Females give birth during this winter rest, often to twins.

Grizzly bears are powerful, top-of-the-food-chain predators, yet much of their diet consists of nuts, berries, fruit, leaves, and roots. Bears also eat other animals, from rodents to moose.

Despite their impressive size, grizzlies have been clocked running at 30 miles an hour. They can be dangerous to humans, particularly if surprised or if humans come between a mother and her cubs.

Habitat

Grizzlies once lived in much of western North America and even roamed the Great Plains. These animals need a lot of space—their home range can encompass up to 600 square miles—so their ideal habitat is one that is isolated from development and has plenty of food and places to dig their dens.

Though European settlement gradually eliminated the bears from much of their original habitat, grizzly populations can still be found in parts of Wyoming, Montana, Idaho, and Washington State. They’re one of the most iconic residents of Yellowstone National Park. Many grizzlies also still roam the wilds of Canada and Alaska, where hunters pursue them as big game trophies.

Answer:

10.5 : 12 : 13.5

Step-by-step explanation:

12 ÷ 8 = 1.5 (multiply this by all of the known numbers

8 x 1.5 = 12

7 x 1.5 = 10.5

9 x 1.5 = 13.5

Answer:

7 : 8 : 9 = 21/2 : 12 : 27/7

Step-by-step explanation:

GIVEN ;                     7 : 8 : 9 = ? : 12 : ?

                           7/24 : 8/24 : 9:24 = ? : 12/x : ?

                                            8/24 = 12/x  

                                            x = 12 ×  24/8

                                                   x = 36                                  

therefore the other two ratio's are

                                7/24 = ?/36

                                  ? = 36 × 7/24

                                   ? = 21/2

                                      and

                               9/24 = ?/36

                               ? = 36 × 9/24

                                ? = 27/2

im not quite confident with this answer, but i hope it helps!

Answer:

345

Step-by-step explanation:

Answer:

C on Edge

Step-by-step explanation:

Answer:

divide by 82.5 to 0.25 your and than the is ur evaluate

Answer:

= 9.586 × 10^{4}  

Step-by-step explanation:

It is already in standard form!

I hope this helps!

The algebraic solution for the variable x is as follows:

The equation is represented as follows;

2 / 5 (2 - x) = - 1 / 3 x + 1 / 2

open the bracket on the left side

2 / 5 (2 - x) = - 1 / 3 x + 1 / 2

4 / 5  - 2x / 5 = - 1 / 3 x + 1 / 2

Add 1  /3 x to both sides

4 / 5  - 2x / 5 = - 1 / 3 x + 1 / 2

4 / 5  - 2x / 5 + 1 / 3 x  = - 1 / 3 x + 1 / 3 x  + 1 / 2

4 / 5 + 1 / 3 x - 2 / 5 x = 1 / 2

4 / 5 + 5x - 6x / 15 = 1 / 2

4  / 5  - x / 15 = 1 / 2

subtract 4 / 5 from both sides

4  / 5 - 4 / 5  - x / 15 = 1 / 2 - 4 / 5

- x / 15 = 5 - 8 / 10

- x / 15 = - 3 / 10

cross multiply

- x / 15 = - 3 / 10

-10x = - 45

divide both sides by -10

x = 45  /10

x = 9 / 2

Therefore, the algebraic solution for the variable x is 9 / 2.

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Answer: 20/12

Step-by-step explanation: In order to get a 12 in the denominator

of 5/3, we multiply top and bottom of 5/3 by 4 to get 20/12.

So 20/12 is an equivalent fraction.

Answer:

9

Step-by-step explanation:

you can always use guess-and-check:

124 seems rather high

(6)P(2) = 6!/4! = 6x5 ≠ 72

(9)P(2) = 9!/7! = 9x8 = 72

Answer:

i think the value of n is 12

Answer:

3.75 or 3 and 3/4

Step-by-step explanation:

you do 15/4

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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The area of glass used to make the window is 3200 sq. cm.

A kite is a member of quadrilateral which has two diagonals. The area of a kite can be determined by;

area of a kite = (length of diagonal 1 * length of diagonal 2) / 2

Therefore to determine the square meter of glass used to make the window in the given question, we have;

length of diagonal 1 = 40 + 40

                                 = 80 cm

length of diagonal 2 = 35 + 45

                                  = 80 cm

area of the window = (80*80)/2

                                 = 6400/2

area of the window = 3200 sq. cm.

Therefore, 3200 sq. m. of glass was used to make the window.

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The power of man weight 40 m in 15 min is 394.8 N x distance / 900 seconds the distance is not provided in the question, so it's impossible to calculate the power.

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