Write 24 as a product of prime factors.

Answer:

the answer is one

Step-by-step explanation:

1.......

Answer:

A fraction like 4/4 is called an "improper fraction". An improper fraction is one in which the numerator (the top number) is greater than or equal to the denominator (the bottom number). Another example of an improper fraction is 8/7 in which the numerator, 8, is greater than the denominator, 7.

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

To find the solution to a problem like this remember the order of PEMDAS.

According to pemdas parenthesis comes first, do you would solve for this part of the equation by multiplying the outer number by each side inside the parenthesis

Aka 3 × X and 3 × 1

This would make your new equation

3x + 3 = 18

Then, you would try to shorten the equation by removing or adding something to both sides.

In the given equation that would be subtracting 3 by either side, leaving over

3x = 15

Lastly, to find X you would divide 3x and 15

3 ÷ 15 = 5

Therefore X = 5

Answer:

x = 5

Step-by-step explanation:

1. First we need to simplify both sides of the equation.

( 3 )( x ) + ( 3 )( 1 ) = 18 Distribute the equation.

= 3x + 3 = 18

2. Now subtract 3 from both sides.

3x + 3 − 3 = 18 − 3

3x = 15

3.  Now divide both sides by 3.

3x/3 = 15/3

x = 5

In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

Learn more about Logarithmic differentiation: brainly.com/question/30881276

#SPJ11

==================================================

Work Shown:

Let x = 0.363636...

The "36" pattern goes on forever as indicated by the three dots.

Multiply both sides by 100 to get 100x = 36.363636...

Effectively, multiplying by 100 moves the decimal point over 2 spots to the right. The "36" goes on forever here too. The key is to match up the infinite sequences of "36"s and cancel them out through subtraction

36.363636... - 0.363636... = 36

while

100x - x = 99x

So after subtracting the equations, we end up with 99x = 36

From here we solve for x by dividing both sides by 99 and reducing the fraction

99x = 36

x = 36/99

x = (9*4)/(9*11)

x = 4/11

As a check, use your calculator to find that

4/11 = 0.36363636...

so the answer is confirmed

Note: your calculator may display something like 0.3636363636364, that 4 should not be there. It's a result of rounding (due to the next digit being a 6). Keep in mind that rounding error is often a possibility when it comes to approximate calculations. The calculator only has so much memory and display space.

Answer:

24 ft

Step-by-step explanation:

Use proportions! The old tent has sides of 10ft, and a base of 15ft. The new tent has sides of 16ft and a base of ____ ft.

So, 10/15 = 16/___. Cross multiple and you get 24ft!

Answer: The decay factor is approximately 0.9984.

Step-by-step explanation:

In an exponential function of the form A = Ab^x, the decay factor b is the constant factor by which the function decays or grows over each unit of time or input change. It is always a value between 0 and 1 in the case of exponential decay.

To find the decay factor in the given exponential function A = 0.46*74.4^x, we need to rewrite the function in the form A = Ab^x. We can do this by dividing both sides of the equation by the initial value of A:

A/A = (0.46*74.4^x)/A

Simplifying this expression gives us:

1 = 0.46*(74.4^x)/A

Dividing both sides by 0.46 and rearranging, we get:

(74.4^x)/A = 1/0.46

Simplifying further gives us:

(74.4^x)/A = 2.1739

Now, we can solve for the decay factor b by taking the logarithm of both sides of the equation:

log(b) = log(74.4)/ln(10)

Simplifying this expression using a calculator gives us:

log(b) = -0.0016

Taking the antilogarithm of both sides, we get:

b = 10^(-0.0016)

Approximating this value to four decimal places gives us:

b ≈ 0.9984

Therefore, the decay factor for the given exponential function is approximately 0.9984.

Answer:

8 bags

Step-by-step explanation:

You divided them by 20 which gives you 4. So you take the 3 and multiply by 4 which is 12 bags. And then you do the same for your bags which makes you do 2 times 4 which gives you 8. You take 20 - 12 and that leaves you with 8.

Angles such that their terminal side passes through the origin and the point indicated on the circle are;

(3/4)·pi radian and (-5/4)·pi radians

An angle is the amount of rotation between two lines that intersect, which is measured in radians or degrees, indicated in the region close to the point of intersection of the lines.

The terminal side of an angle in standard position is the side indicating the degree of rotation from the initial side which is ion the positive x-axis.

The angular rotation to a point on a unit circle, such that the terminal side of the angle passes through the origin of the rectangular coordiinate, can be described by 2 angles, obtained by turning clockwise and anticlockwise.

The possible circle in a rectangular coordinate obtained from a similar question on the internet, created with MS Word is attached.

The rotation of the terminal side of a angle in standard position such that it coincides with the point is a rotation of 90° + 45°, anticlockwise from the initial side

90° + 45° = 135°

2·π radians = 360°

The angle of rotation of the terminal side clockwise from the initial side to the point is; -180° - 45° = -225°

The two angles terminal sides that passes through the point are therefore;

3·π/4 radians and -5·π/4 radians

Learn more about the unit circle here: https://brainly.com/question/28522971

#SPJ1

The minimal degree Taylor polynomial that we need to calculate sin(1) to 3 decimal places is degree 6, and to 6 decimal places is degree 9.

A Taylor polynomial is a polynomial approximation of a function that uses values of the function and its derivatives at a single point. The degree of the Taylor polynomial represents how many terms are included in the approximation. To calculate sin(1) to 3 decimal places using a Taylor polynomial, we need to find the minimal degree of the polynomial about x = 0 that gives an error of less than 0.0005 (half of the last decimal place).- For a degree 5 polynomial, we have: P_5(x) = \sum_{n=0}^5 \frac{f^{(n)}(0)}{n!}x^n P_5(x) = x - \frac{x^3}{3!} + \frac{x^5}{5!} |sin(1) - P_5(1)| \ leq \frac{1}{6!}|1-0|^6 \approx 0.0083 The error is too large for our needs, so we need to try a higher degree.- For a degree 6 polynomial, we have: P_6(x) = \sum_{n=0}^6 \frac{f^{(n)}(0)}{n!}x^n P_6(x) = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} |sin(1) - P_6(1)| \leq \frac{1}{7!}|1-0|^7 \approx 0.000198.

The error is less than 0.0005, so this is our answer for 3 decimal places.- For 6 decimal places, we need to try an even higher degree.- For a degree 9 polynomial, we have: P_9(x) = \sum_{n=0}^9 \frac{f^{(n)}(0)}{n!}x^n P_9(x) = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \frac{x^9}{9!} |sin(1) - P_9(1)| \leq \frac{1}{9!}|1-0|^9 \approx 1.16 × 10^{-7} The error is less than 0.5 × 10^-6, so this is our answer for 6 decimal places. Therefore, the minimal degree Taylor polynomial that we need to calculate sin(1) to 3 decimal places is degree 6, and to 6 decimal places is degree 9.

To know more about polynomial visit:-

https://brainly.com/question/11536910

#SPJ11

Answer:

$310

Step-by-step explanation:

$290/29

=$10

31 multipled by 10

=$310

If E and F are two events, P(E)= 0.6 and P(F|E)= 0.5. The value of P(E and F) will be 0.30.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that, E and F are two events and that P(E)= 0.6 and P(F|E)= 0.5

As we know,

P(F|E)=P(E and F) / P(E)

0.5 = P(E and F) / 0.6

P(E and F)=0.5×0.6

P(E and F)=0.30

Thus, if E and F are two events, P(E)= 0.6 and P(F|E)= 0.5. The value of P(E and F) will be 0.30.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

Answer:

Step-by-step explanation:

To calculate the probability that the number of heads is odd when flipping the coin 10 times, we can use the binomial probability formula.

The probability of getting exactly k successes (in this case, heads) in n trials (flips) is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

C(n, k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials and can be calculated as n! / (k! * (n - k)!)

p is the probability of success (getting a head on a single flip)

n is the number of trials (number of coin flips)

k is the number of successes (number of heads)

In this case, the probability of getting a head on a single flip is 0.1, and we want to calculate the probability of getting an odd number of heads in 10 flips.

Let's calculate the probability:

P(odd number of heads) = P(X = 1) + P(X = 3) + P(X = 5) + P(X = 7) + P(X = 9)

= C(10, 1) * 0.1^1 * (1 - 0.1)^(10 - 1) + C(10, 3) * 0.1^3 * (1 - 0.1)^(10 - 3) + C(10, 5) * 0.1^5 * (1 - 0.1)^(10 - 5) + C(10, 7) * 0.1^7 * (1 - 0.1)^(10 - 7) + C(10, 9) * 0.1^9 * (1 - 0.1)^(10 - 9)

Calculating the values:

P(odd number of heads) = 0.1 * 0.9^9 + 0.1176 * 0.1^3 * 0.9^7 + 0.136 * 0.1^5 * 0.9^5 + 0.1715 * 0.1^7 * 0.9^3 + 0.3874 * 0.1^9 * 0.9

P(odd number of heads) ≈ 0.056

Therefore, the probability of getting an odd number of heads when flipping the coin 10 times is approximately 0.056, rounded to three decimal places.

Hope this answer your question

Please rate the answer and

mark me ask Brainliest it helps a lot

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

Know more about   function  here:

https://brainly.com/question/11624077

#SPJ8

Answer: 156°

Step-by-step explanation:

As you know angle sum of a quadrilateral = 360°

So, 3x + 5x + 9x + 13x = 360°

Or, 30x = 360°

Or, x = 12°

Hence: 3x = 36°, 5x = 60°, 9x = 108° and 13x = 156°

Answer:

In explanation below.

Step-by-step explanation:

Presumably, the proof you have in mind is to use a=b=2–√a=b=2 if 2–√2√22 is rational, and otherwise use a=2–√2√a=22 and b=2–√b=2. The non-constructivity here is that, unless you know some deeper number theory than just irrationality of 2–√2, you won't know which of the two cases in the proof actually occurs, so you won't be able to give aa explicitly, say by writing a decimal approximation.

Answer:

The second one

Step-by-step explanation:

Line segment BC will be an image of side AD using only a translation.

Option 2 is true.

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

A figure ABCD is a square.

Now,

Since, ABCD is a square.

So, All sides of square ABCD are equal to each other.

Since, A translation occurs when a figure is moved from one location to another location without changing its size or shape.

Thus, Line segment BC will be an image of side AD using only a translation.

Therefore, Line segment BC will be an image of side AD using only a translation.

Learn more about the translation visit:

https://brainly.com/question/12861087

#SPJ2

The algebraic expression that represents the amount that Sohail got is given as follows:

[10(x - 8)]².

His break lasted x days and he was out of station for 8 days, hence the number of days that Sohail worked is given as follows:

x - 8 days.

Each day he earned Rs 10, hence the total amount earned can be modeled as follows:

10(x - 8).

After the amount was squared, the expression is given as follows:

[10(x - 8)]².

More can be learned about expressions at https://brainly.com/question/723406

#SPJ1

Answer:

50

Step-by-step explanation:

If you use a calculator you will get it

Answer:

50

Step-by-step explanation:

(251+284+207+219+276)/5-( 215+268+236+247+221)/5

Answer:

4x-3

hope this helps

The length of the kite's line can be determined using the concept of similar triangles. By setting up a proportion between the length of the kite's line and its shadow, we can solve for the unknown length.

Let's denote the length of the kite's line as "x." We can form a proportion between the lengths of the kite's line and its shadow:

(line length)/(shadow length) = (height)/(shadow height)

Plugging in the given values, we have:

x/6 = 9/9

Simplifying the equation, we find:

x = 6

Therefore, the length of the kite's line is 6 feet.

Learn more about equation here: https://brainly.com/question/9854642

#SPJ11

The cardinalities:

n(A) = 3

n (B) = 1.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

Let sets A and B be defined as follows.

A is the set of integers greater than or equal to -9 and less than or equal to - 3

A = {n ≥ -9 or n ≤ -3}

B = {1-29, -26, -23, 30}

B = {-28, -26, -23, 30}

The cardinalities:

n(A) = 3

n (B) = 1.

Therefore, n(A) = 3 and n (B) = 1.

To learn more about the inequality;

brainly.com/question/28823603

#SPJ1

the height VO of the rectangular pyramid VPQRS is 5 cm.

WHAT IS RECTANGULAR PYRAMID?

A rectangular pyramid is a type of pyramid where the base is a rectangle and the lateral faces are triangles with a common vertex (apex) that is not in the plane of the base. It is a polyhedron with a rectangular base and triangular faces that meet at a single vertex. The height of the pyramid is the perpendicular distance from the apex to the base. The volume of a rectangular pyramid can be calculated using the formula:

V = (1/3) * base area * height

where base area is the area of the rectangular base and height is the perpendicular distance from the apex to the base.

To find the height VO of the rectangular pyramid VPQRS, we can use the formula for the volume of a pyramid:

V = (1/3) * base area * height

where base area is the area of the rectangle formed by the base of the pyramid, and height is the height of the pyramid.

We are given that the volume of the pyramid is 100 cm³. We can also find the base area by multiplying the length PQ by the width QR:

base area = PQ * QR = 10 cm * 6 cm = 60 cm²

Substituting these values into the formula for the volume of a pyramid, we get:

100 cm³ = (1/3) * 60 cm² * height

Simplifying, we get:

height = (100 cm³ * 3) / (60 cm²)

height = 5 cm

Therefore, the height VO of the rectangular pyramid VPQRS is 5 cm.

To know more about rectangle visit:-

https://brainly.com/question/2607596

#SPJ1

Answer:

-5

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

40x1.6

Answer: 9

Step-by-step explanation:

If 12 is the whole length, and 3 is a small section of it, then 3 + j = 12

Or 12 - 3 = j

Therefore, 12 - 3 = 9

Answer:

9 = j

Step-by-step explanation:

12 - j = 3

Adding j to both sides, we get 12 = 3 + j

Combining like terms, we get 9 = j

The coordinates of the resulting point, T' after the point T( – 1,2) is rotated 180° clockwise around the origin is (1, -2).

To rotate a point 180° clockwise around the origin, you can apply the following transformations:

Reflect the point across the x-axis by negating its y-coordinate.

Reflect the point across the y-axis by negating its x-coordinate.

Starting with T( – 1,2), we first reflect the point across the x-axis, which gives us T'( – 1, -2). Then, we reflect T' across the y-axis, which results in T''(1, -2).

The transformation can be represented as follows:

T' = (x, -y)

T'' = (-x, -y)

Therefore, the final coordinates of T'' are (1, -2).

Learn more about the coordinates at

https://brainly.com/question/16634867

#SPJ4

The area of the rectangle wall is 30 square feet.

This room has a floor area that is square in shape. Square is defined as an object with equal sides of length and width. Given that the the floor area is 25 square feet, we can figure out the length and width by the following formula and calculation:

Given that (A) is area of a square, and (a) is the equal sides of a square

A = a²

25=a²

\(\sqrt{25} = a\)

5 = a

Therefore each of the side of the floor is 5 feet.

Now that we know that the side of the of the square floor is 5 feet in length, given that the height of the room is 6 feet, we can then calculate the area of the rectangle wall with the following formula and calculation:

Area = width × height

Area = 5×6

Area = 30 square feet

Therefore the area of the wall is 30 square feet.

To learn more about rectangle visit: https://brainly.com/question/16595449

#SPJ4

Your question seems to be missing but I assume your complete question was:

"A square room has a floor area of 25 square feet. The height of the room is 6 feet. What is the area of the wall?"

Answer:

32

Step-by-step explanation:

The shape in image is an equilateral triangle which means all of it's angles has equal measurements:

2x - 4 = 5y and that is equal to 60 degrees

2x - 4 = 60 add 4 to both sides

2x = 64 divide both sides by 2

x = 32