I was half my brothers age when he was 6. Now he is 67 how old am I?

Value of angle x is 41 degree.

A straight line is a one-dimensional geometric object that extends infinitely in both directions. It can be defined as the shortest path between two points in a plane, and it has a constant slope (i.e., rate of change) between any two points on the line.

The standard equation for a straight line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line intersects the y-axis). Another commonly used form is the point-slope form, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Given, total angle=236°

236°=76°+119°+x

x=236°-76°-119°

x=41°

Hence, Value of angle x is 41 degree.

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The general form of an exponential decay function is f(a) = P . (1 - r)ᵃ, hence a function is an exponential decay if the factor (1 - r) is less than 1.

The general exponential decay function can be written as:

f(a) = P . (1 - r)ᵃ

Where:

P = initial quantity

f(a) = remaining quantity at time a

a = time period

r  = decay rate

(1 - r) = decay factor

On the other hand, the general exponential growth function can be written as:

f(a) = P . (1 + r)ᵃ

Hence, the difference between decay function and growth function is: the factor in decay faction is less than 1, while in growth function, the factor is greater than 1.

Example:

f(a) = 6 . (0.25)ᵃ

This is an exponential decay function because the factor is less than 1, that is 0.25

f(a) = 10 . (3)ᵃ

This is not an exponential decay function, but a growth function,  because the factor is greater than 1, that is 3

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Answer:

5x + 2y = -15

2y = -15-5x

y = -5/2x-15/2

SLOPE:  -5/2

The calculated area of the square 3 is 25

From the question, we have the following parameters that can be used in our computation:

The shapes (see attachment)

We have

Area 1 = 169

Perimeters 2 = 48

This means that

Side length 1 = 13

Side length 2 = 12

So, we have

Area of square 3 = Side length 1² - Side length²

So, we have

Area of square 3 = 13² - 12²

Evaluate

Area of square 3 = 25

Hence, the area of the square 3 is 25

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The probability that a student chosen at random will play the guitar as a fraction in simplest form is 5/24

The total number of students in both seventh and eighth grades who play the guitar is 4 + 6 = 10.

The total number of students in both grades is 4 + 5 + 3 + 5 + 6 + 8 + 2 + 15 = 48.

Therefore, the probability that a student chosen at random will play the guitar is 10/48, which simplifies to 5/24.

Hence, the probability is 5/24 as a fraction in simplest form.

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Answer:

Each apples contain 90 calories while each bananas contain 105 calories.

Step-by-step explanation:

Let x be the calories of apple and y be the calories of banana:

\(\displaystyle{2x + y = 285}\)

Since an apple has 15 less calories than a banana:

\(\displaystyle{x = y-15}\)

Solve the simultaenous equations; substitute x = y - 15 in 2x + y = 285:

\(\displaystyle{2\left(y-15\right) + y = 285}\\\\\displaystyle{2y-30+y=285}\\\\\displaystyle{3y=285+30}\\\\\displaystyle{3y=315}\\\\\displaystyle{y=105}\)

We know the calories of banana now but we have not known the calories of apple yet. Therefore, substitute y = 105 into x = y - 15:

\(\displaystyle{x=105-15}\\\\\displaystyle{x=90}\)

Hence, the calories of each apples contain 90 calories and the calories of each bananas contains 105 calories.

The percentage of individuals surveyed that are older than 14 but younger than 20 would be = 24%.

The histogram is a graphical representation that can be used to represent results in bars of equal widths with different heights.

The total number of people that are older than 14 but younger than 20 = 18

The total number of attendees = 20+18+25+12 = 75

The percentage of 75 that is 18 is calculated as follows;

= 18/75 × 100/1

= 1800/75

= 24%

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Answer:

-.175, 1.425, and 2

Step-by-step explanation:

easiest way, if you're allowed to use a graphing calculator, is to graph it and find the x-intercepts

Answer:

18.5 is your answer.

Step-by-step explanation:

Divide the area by 11.9 and you get 18.5

Answer:

55 square meters

Step-by-step explanation:

I used an online calculator and that's what i got

Time intervals = 14/7 = 2

Final Amount = 40(1/2)² = 10

The error sum of squares, SSE, is 2592. The correct answer is option b.

As per the question, the standard error of the estimate is 18 and n is 10.

We can use the formula for the standard error of estimate to find the error sum of squares (SSE):

standard error of estimate = √(SSE / (n - 2))

Squaring both sides of the equation and solving for SSE, we get:

SSE = (n - 2) x standard error of estimate²

SSE = (10 - 2) x 18²

SSE = 8 x 324

SSE = 2592

Therefore, the error sum of squares, SSE, is 2592.

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Ans just ad it to your profile

Step-by-step explanation:

Answer:

6 spaces to the right 3 spaces up

Step-by-step explanation:

I don't know if this will help you any but for plotting points I was always taught to go to the tree before you climb. meaning you go on the x axis for the first number then on the y axis for the second number. Hope this can help you in the future!

Answer:

Step-by-step explanation:

Givens

m = 1/4

y2 = 4

y1 = 1

x2 = 2

x1 = x

m = (y2 - y1) / (x2 - x1)

Solution

1/4 = (4 - 1) / (2- x)                Simplify

1/4 = 3 / (2 - x)                      Cross multiply

2- x =12                               Subtract 1 from both sides

-x = 12 - 2

-x = 10                                 Multiply by -1

x = -10

Check

1/4 = (4 - 1) / (2 - - 10)

1/4 = 3/(2 + 10)

1/4 = 3 / 12

1/4 = 1/4

Odd as the answer is, it does check.

Answer:

x=2

Step-by-step explanation:

Answer:

g(x) = –log2(x + 2)

Step-by-step explanation:

got it right on the assignment

The function that represents the function f(x) is reflected over the x-axis and shifted left by 2 units will be g(x) = - log 2x + 4.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

f(x) = log 2x

The function is reflected over the x-axis, then the function will be

h(x) = - log 2x

And shifting left by 2 units, then replace x with (x + 2). Then the equation will be

g(x) = - log 2(x + 2)

g(x) = - log 2x + 4

The function that represents the function f(x) is reflected over the x-axis and shifted left by 2 units will be g(x) = - log 2x + 4.

The graph is given below.

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The superposition is the imposing of one wave on the other and resulting in the change of the amplitude of the final wave.

When two or more waves travel through the same space in superposition, their combined amplitudes equal the amplitudes they would have produced individually. For instance, two waves moving in the same direction will pass through each other without causing any distortion on the other side.

The pattern you see when shining light through two slits, the sounds you hear in acoustically sound rooms and music halls, the interference radios receive when moved close to other electronic devices, and any tone produced by a musical instrument are all examples of the superposition principle in action.

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Answer:

=−2

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

if there are  these () around a negative number then it makes it even.

After 4 hours, there is 20 inches of snow on the lawn.

The amount of snow on the lawn after t hours is (8 + 3t) inches.

Linear equation is denoted by,

y = mx + b

m denotes the slope, which is the rate of change, or how much y changes when x changes by one.

b is the y-intercept, which is the value of y when x = 0 and can also be regarded as the function's beginning value.

The following parameters are provided for this problem:

m = 3, b = 8.

As a result, the snow on the lawn after t hours is provided by:

S(t) = 8 + 3t.

The result in inches after 4 hours is:

S(4) = 8 plus 3 x 4 = 20 in.

Linear equations have variables with powers of one. For example, ax+b = 0 has one variable, x, and a and b are real values.

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Answer:

theirs 3 ways you can do this you can either subtract divide or multiple

Step-by-step explanation:

Answer: the LCM is 96

Step-by-step explanation: looked it up

Answer:

124

Step-by-step explanation:

30 * √(30^2 + 4 * 30^2) + 30^2 = 124.07

124.07 ≈ 124

I understand you're looking for information on histograms and probabilities. In a histogram, bars represent the frequency or probability of a specific range of values in a dataset. To determine which bar would have the highest probability, we must consider the distribution of the data.

A histogram consists of a series of bars that display the probability of different data ranges or intervals. The height of each bar corresponds to the relative frequency or probability of that range of values occurring in the dataset.

To find the bar with the highest probability in a histogram, follow these steps:

1. Observe the histogram: Carefully analyze the histogram to understand the distribution of data and the ranges represented by each bar.

2. Identify the highest bar: Look for the tallest bar on the histogram. This bar represents the range of values with the highest probability or frequency.

3. Read the corresponding values: Once the highest bar is identified, find the range of values that the bar represents by checking the labels on the horizontal axis.

In summary, the bar with the highest probability on a histogram would be the one representing the range of values that occur most frequently within the dataset. To determine this, analyze the histogram, identify the tallest bar, and note the corresponding range of values it represents.

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The number that could not be a value of X in the triangle given above would be = non of the options.

The triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.

That is symbolically for a triangle labelled ABC:

a + b > c,

a + c > b, and

b + c > a

Using the diagram above,

The whole option can be a value of X and hence none of the above given options can not be = X.

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Answer:

17.3 cm

Step-by-step explanation:

(refer to the attached for reference)

since the given triangle is a right triangle (i.e with one of the angles being 90 deg), we can use trigonometry to determine the missing side.

In our case, we are given ∠ABC = 68° and the length of its adjacent side AB = 7 cm.

From trigonometry, the following relationship may be formed:

tan (68°) = opposite length / adjacent length

tan (68°) = AC / AB

tan (68°) = AC / 7   (multiply both sides by 7)

7 tan (68°) = AC (rearrange)

AC = 7 tan (68°)    (solve using calculator)

AC = 17.3256

AC = 17.3 cm (1 dec pl)Answer:

17.3 cm

Step-by-step explanation:

(refer to the attached for reference)

since the given triangle is a right triangle (i.e with one of the angles being 90 deg), we can use trigonometry to determine the missing side.

In our case, we are given ∠ABC = 68° and the length of its adjacent side AB = 7 cm.

From trigonometry, the following relationship may be formed:

tan (68°) = opposite length / adjacent length

tan (68°) = AC / AB

tan (68°) = AC / 7   (multiply both sides by 7)

7 tan (68°) = AC (rearrange)

AC = 7 tan (68°)    (solve using calculator)

AC = 17.3256

AC = 17.3 cm (1 dec pl)

Answer: -467

I sure but not so sure but hoped it helped

Step-by-step explanation:

It’s decrease by 8 so do the formula

an= a + d(n−1).

After a beta decay, the daughter nucleus of Pt-199 will be Au-199. Beta decay occurs when a neutron in the nucleus of an atom decays into a proton, releasing an electron and an antineutrino. In this case, one of the neutrons in Pt-199 undergoes beta decay, transforming into a proton and releasing an electron and an antineutrino.

This changes the atomic number of the nucleus from 78 to 79, resulting in the formation of the new element, gold (Au). However, the mass number remains the same at 199, since only the identity of the nucleus has changed and not the total number of nucleons. Therefore, the daughter nucleus of Pt-199 after a beta decay is Au-199.

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