Which functions are a specific type of piecewise-defined functions?Quadratic functionsAbsolute value functionsCubic functionsLinear functions

The equation is 5 + x - 4 + x - 5 = 10 + 16 + x - 10 and on solving the value of x is 20

The perimeter of a triangle is calculated by the summation of all the sides of a triangle

It is given that both the triangles have the same perimeter, so summation of all the sides of one triangle is equal to summation of all the sides of another triangle

Therefore the equation can be 5 + x - 4 + x - 5 = 10 + 16 + x - 10

Further solving the equation to calculate the unknown variable x

5 + x - 4 + x - 5 = 10 + 16 + x - 10

2x - 4 = x + 16

2x - x = 16 + 4

x = 20

The ēquation is 5 + x - 4 + x - 5 = 10 + 16 + x - 10 and on solving the value of x is 2

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The estimation of the equation 1/6 + 5/6  is 1 (option C).

For rounding a fraction to the nearest whole number, use the "rounding half up" rule if necessary.

To estimate the solution for the equation 1/6 + 5/6, we can round each fraction to the nearest whole number.

The fraction 1/6 is closer to 0 than it is to 1, so we will round it to 0.

The fraction 5/6 is closer to 1 than it is to 0, so we will round it to 1.

Now we can estimate the solution for the equation as follows:

0 + 1 = 1

Therefore, the estimated solution for the equation 1/6 + 5/6 is 1.

The correct answer is C. 1.

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Answer:

Step-by-step explanation:

y = mx + b

m = slope

b = intercept

Answer: 1/2 is the slope.

Step-by-step explanation: (-2-6)/(2-6) = -8/-4

-8/-4 Simplified is 1/2

Therefore 1/2 is your slope

Hope this helps!

An ordered pair is a solution of an equation in two variables if replacing the variables by the coordinates of the ordered pair results in a true statement.

In mathematics, an equation in two variables represents a relationship between two quantities. An ordered pair consists of two values, typically denoted as (x, y), that represent the coordinates of a point in a two-dimensional plane.

When these values are substituted into the equation, if the equation holds true, then the ordered pair is considered a solution or a solution set to the equation. This means that the relationship described by the equation is satisfied by the values of the ordered pair. In other words, the equation is true when evaluated with the values of the ordered pair.

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Answer:

11.7

Step-by-step explanation:

Since we know what the price was after the discount, we just have to reverse it. In order to apply a discount to a price, you multiply the number by the discount. e.g, 0.40 * x = 4.68. So to find the original price, we have to do the opposite. The opposite of multiplication is division, so divide 4.68 by 0.40, (0.40 is equivalent to 40%.) and we get 11.7.

11.7 is the original price.

Brainliest please?

The perimeter of a semi-circle consists of the curved part (half of the circumference of a circle) and the straight diameter connecting the two ends of the curved part.

The circumference of a full circle is given by 2πr, where r is the circle radius. Since a semi-circle is half of a full circle, the curved part of the semi-circle would be half of the circumference, which is (1/2) * 2πr = πr.

To calculate the semi-circle perimeter, we need to add the straight diameter to the curved part. The diameter of the full circle is 2r, so the diameter of the half-circle is r. Therefore, the perimeter of the semi-circle is equal to the curved part (πr) plus the diameter (r), which gives a total perimeter of πr + r.

In simplified form, the semi-circle perimeter is (π + 1) * r.

Recall that the quadratic formula states that the solutions to the equation:

are:

Therefore the solutions to the given equation are:

Simplifying the above result we get:

Then the solutions to the given equation are:

Answer:

Answer:

P = 2l + 2w

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

i don't think he is correct because it's asking whats the difference between the two

Answer:

(2,-3)

Step-by-step explanation:

Answer:

y= \(\frac{3}{2}\)x -3

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Because the parts of the circle are congruent, the segments are as well, we can use that to make an equation then solve it like normal

9x-34=4x+1

-1 on both sides

9x-35=4x

-9x on both sides

-35=-5x

x=7

By using the volume of the cylinder, it can be calculated that

Volume of the cylinder is 75.360 cubic inches

What is volume of a cylinder?

Volume of a cylinder is the total space taken by the cylinder.

If r is the radius of the cylinder and h is the height of the cylinder, then volume of the cylinder is calculated by-

V = \(\pi r^2h\)

Here,

Height of the cylinder = 6 inches

Radius of the cylinder = 2 inches

Volume of the cylinder = \(3.14 \times 2^2 \times 6\) = 75.360 cubic inches

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Complete Question

A cylinder has a height of 6 inches and a radius of 2 inches. What is its volume? Use a 3.14 and round your answer to the nearest hundredth.​

To answer this question, solve the given expression for calculating velocity for a, this way:

The correct answer is B.

Answer:

268

I'm not smart so if u get this wrong, I'm sorry

Step-by-step explanation:

12 x 5 = 60

60 + 208 = 268

We can see here that the solutions to the triangles are:

1. 62.2°.

2. 35.9°

3. 61.9°

4. 53.1°

We can see here that using trigonometric ratio formula, we find the values of x.

We see the following:

1. Cos x = 7/15 = 0.4666

x = \(cos^{-1}\) 0.4666 = 62.2°.

2. Sin x = 27/46 = 0.5869

x° = \(sin^{-1}\)  0.5869  = 35.9°

3. Sin x = 30/34 = 0.8823

x° = \(sin^{-1}\) 0.8823 = 61.9°

4. Tan x = 8/6 = 1.3333

x° = 1.3333 = 53.1°

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Let

y -----> candle heigh in centimeters

x ----> burning time in hours

In this problem we have the ordered pairs

(5,22.5) and (17,16.5)

step 1

Find out the slope

m=(16.5-22.5)/(17-5)

m=-6/12

m=-1/2 -----> is negative because is a decreasing function

step 2

Find out the equation in slope-intercept form

y=mx+b

we have

m=-1/2

point (5,22.5)

substitute

22.5=-(1/2)(5)+b

solve for b

b=22.5+2.5

b=25

therefore

y=-(1/2)x+25

step 3

For x=7 hours

substitute in the equation

y=-(1/2)(7)+25

y=-3.5+25

It will take approximately 538 years for 52.5 g of a 60.0 g sample of Argon-39 to decay to its daughter isotope.

The half-life of Argon-39 is given as 269 years. This means that in each half-life, the amount of Argon-39 is reduced by half.

Initially, we have a 60.0 g sample of Argon-39. To find the time it takes for 52.5 g (half of the initial amount) to decay, we need to determine how many half-lives it will take to reach that amount.

We can calculate the number of half-lives by dividing the initial amount by the final amount after decay: 60.0 g / 52.5 g = 1.143.

Since each half-life is 269 years, we can multiply the number of half-lives by the length of one half-life to find the total time: 1.143 * 269 years = 307.767 years.

Rounding to the nearest whole number, it will take approximately 538 years for 52.5 g of the Argon-39 sample to decay to its daughter isotope.

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The given scatter plot depicts the exponential function. Therefore, option 1 f(x) = 2ˣ is the correct one.

A scatter plot is a particular kind of graphic diagram that uses Cartesian coordinates to show the values of two variables for a collection of data.

We write y as the function of x as y=f(x). Here, f is considered the name of the function and x is the value of the function. To check which function depicts the given scatter plot, we have to substitute the values for x and find the function. Then, plot the graph.

By doing we get, the plot for f(x) = 2ˣ is equivalent to the given scatter plot. Because this graph depicts the exponential function where the graph passes through the point (0,1). Therefore, option 1 correctly depicts the given plot. Option 2 depicts the identity function and 4 depicts squaring or quadratic function.

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For -10 as the value of k the equation k – 3(k + 5) – 0. 5 = 3(0. 25k + 4) is true.

Given equation is k – 3(k + 5) – 0. 5 = 3(0. 25k + 4)

To solve the equation, firstly we have to solve or open the brackets using the distributive property that is a(x + y) = ax +ay

Thus the equation becomes, k - 3k - 15 - 0.5 = 0.75k + 12

Then we have to take all the terms with k on one side and other on the other or segregate the like terms, the equation now is

k - 3k - 0.75k = 12 + 15 + 0.5

Simplify the equation by adding or subtracting the like terms.

-2.75k = 27.5

Then we divide the coefficient of k by the other side and get our answer

k = 27.5 ÷ (-2.75)

k = -10

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Answer : 4 times

Here it's given that ,

And we need to find out how many times the area of red winged butterfly is greater than that of sitting on the flower (blue butterfly) .

Let us take ,

Then ,

We know that ,

→ area of the triangle = 1/2 × base × height

So that ,

→ A/A' = (1/2 * b * h) ÷ (1/2 *2b *2h)

→ A/A' = bh/4bh

→ A/A' = 1/4

→ A' = 4A

Henceforth the area of blue butterfly is 4 times greater than that of red winged butterfly .

I hope this helps.

The length of the three congruent sides is 7 cm and the fourth side length is 12cm.

Given quadrilateral has three congruent sides and perimeter of quadrilateral is 33 cm.

A quadrilateral can be expressed as ABCD and three congruent sides are AB, BC, CD and the fourth side is AD.

Let AD=x

then AB=BC=CD=x-5

This means if all the sides of a quadrilateral are known, we can get its perimeter by adding all its sides.

So, Perimeter = AB + BC + CD + DA.

Substitute values

(x-5)+(x-5)+(x-5)+x=33

4x-15=33

    4x= 48

     x=12

Hence the fourth side length is 12cm and the other sides are 7 cm longer.

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Answer:

D.Because about 5% of possible samples lead to a statistic in the extreme tails of the sampling distribution

(since the confidence interval is 95%)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The linear equation that describes the relationship between the total monthly cost Y and number of class hours in each month X is the same as the equation of line which is

\(Y= mx+c\\\\ Y= 2X+25\)

where Y= the dependent variable, monthly cost

          x= the independent variable, the number of hours for aerobic classes

          c= the intercept, $25

A tire that rotates 720 times per minute will rotate 12 times per second (720/60 = 12).

So, the tire will make 4 rotations (12 x 1/3) in 1/3 seconds.A point on the edge of the tire will move a distance equal to the circumference of the tire in one rotation.

The formula to calculate the circumference is 2πr, where r is the radius of the tire.

Therefore, the distance moved by a point on the edge of the tire in one rotation is given by 2πr.

In four rotations, the point will move 4 times the distance moved in one rotation.

So, the distance moved by the point in 1/3 seconds is given by:

4 x 2πr = 8πr

Therefore, the point on the edge of the tire moves 8πr in 1/3 seconds. To find the distance moved in degrees,

we use the formula:1 revolution = 360 degrees

Thus, in one revolution, the point on the edge of the tire moves 360 degrees.

In four revolutions (12 x 1/3), the point on the edge of the tire moves:

4 revolutions x 360 degrees/revolution = 1440 degrees

Therefore, the point on the edge of the tire moves 1440 degrees in 1/3 seconds.

Given that the tire rotates 720 times per minute.

So, it will rotate 12 times per second (720/60 = 12).

Therefore, in 1/3 seconds, it will make 4 rotations (12 x 1/3).

In one rotation, a point on the edge of the tire will move a distance equal to the circumference of the tire which is given by 2πr, where r is the radius of the tire.

So, the distance moved by the point in one rotation is 2πr.

Therefore, in four rotations, the point will move 4 times the distance moved in one rotation which is equal to 4 x 2πr = 8πr

In order to find the distance moved by the point in degrees, we use the formula:

1 revolution = 360 degrees.

Thus, in one revolution, the point on the edge of the tire moves 360 degrees.

In four revolutions (12 x 1/3),

the point on the edge of the tire moves:4 revolutions x 360 degrees/revolution = 1440 degrees

Therefore, the point on the edge of the tire moves 1440 degrees in 1/3 seconds.

The point on the edge of the tire moves 8πr in 1/3 seconds. Also, it moves 1440 degrees in 1/3 seconds.

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Answer:

Let Solve for x by simplification:

2x+3y=13

   2x+3y =13

Collect constant terms to RHS and Simplify

2x+3y+(-3y)=13+-3y

 2x=-3y+13

   Divide both sides by (2) and Simplify

2x+-3y+13

x=-3y+13 /2

         x = -3/2y+13/2

AND FOR Y BASICALLY IT'S

Y=-5/3 X+28/3

HOPE IT HELPS :D

The probability that a message transmitted using a Hamming code of length 25 and that corrects 2 errors will be correctly received is 0.6384.

Hamming codes use parity bits to detect and correct errors in the data. In this case, a code of length 25 with 2 error corrections can detect up to two errors and can correct up to one error.

Since the probability of a correct transmission of an individual symbol is 0.75, the probability of a correct transmission of the entire message is calculated by multiplying 0.75 by itself 25 times, giving a probability of 0.6384.

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Answer:

Step-by-step explanation:

=1/4(12/1)

= 12/4

= 3

Answer:

2(6 + 1).

Step-by-step explanation:

24 - 5 x 2 = 14

2(6 + 1) = 2*7 = 14