The product of two rational numbers is (-28/81). If one of them is (-2/3), the find the other.

Answer:

4

Step-by-step explanation:

60 minutes can be broken down into 4 quarters of time - 15 minutes

Step-by-step explanation:

An quarter of an hour is 15 mins. 60÷15 =4 so there are 4 quarters in an hour.

Factor when divides the function the remainder is zero. The factorized form of the function f(x)=125x⁶-8 is (5x²-2)(25x⁴ + 10x²+4).

A factor of a function is a factor which when multiplied by another the result is the function itself.

We know that in order to factorize a function, we need to take the common terms out from the expression,

\(f(x)=125x^6-8\)

The given function can be written as,

\(f(x)=125x^6-8\\\\f(x)=5^3x^6-2^3\\\\f(x)=(5x^2)^3-2^3\)

Now, we will use the algebraic property to solve the function.

\(f(x)=(5x^2)^3-2^3\\\\f(x)=(5x^2-2)(25x^4+10x^2+2^2)\\\\f(x)=(5x^2-2)(25x^4+10x^2+4)\)

Hence, the factorized form of the function f(x)=125x⁶-8 is (5x²-2)(25x⁴ + 10x²+4).

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Answer:

C

Step-by-step explanation:

The definition of slope-intercept form y=mx+b is given below.

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

In geometry, there are two types of lines: straight and curved. Vertical and horizontal straight lines are further divided into categories. Parallel, intersecting, and perpendicular lines are further types of lines.

In the given question:-

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope may be determined using a variety of approaches.

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The best graphical representation to display the data on the GPA of 318 students at East River High School would be a histogram.

A histogram is a graphical representation of data that groups data into bins or intervals and displays the frequency of occurrences of data within each bin. In this case, the bins would represent GPA ranges, and the frequency would represent the number of students falling within each GPA range.

A histogram is a good choice for displaying this data because it allows the viewer to see the distribution of GPA scores across the student population. It provides a visual representation of how many students fall within certain GPA ranges and can help identify trends in the data.

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Answer:

a) {-1, 4}

b) {-1, 1, 2, 3, 4, 5, 7, 8}

Step-by-step explanation:

a) The intersection of M and D is all values in M that are also in D. In this case, it is only -1 and 4.

{-1, 4}

b) The union of M and D are all of the distinct numbers in both of the sets.

{-1, 1, 2, 3, 4, 5, 7, 8}

Answer:

x = -1

Lowest common denominator is (x-3)(x-4)

Domain is \((-\infty,3)\cup(3,4)\cup(4,\infty)\)

Step-by-step explanation:

\(\displaystyle \frac{2x+3}{x-3}+\frac{x+6}{x-4}=\frac{x+6}{x-3}\\\\\frac{(2x+3)(x-4)}{(x-3)(x-4)}+\frac{(x-3)(x+6)}{(x-3)(x-4)}=\frac{(x+6)(x-4)}{(x-3)(x-4)}\\\\(2x+3)(x-4)+(x-3)(x+6)=(x+6)(x-4)\\\\2x^2-5x-12+x^2+3x-18=x^2+2x-24\\\\3x^2-2x-30=x^2+2x-24\\\\2x^2-2x-30=2x-24\\\\2x^2-4x-30=-24\\\\2x^2-4x-6=0\\\\(2x+2)(x-3)=0\\\\2x+2=0\\2x=-2\\x=-1\\\\x-3=0\\x=3\)

We have to be careful though and reject the solution \(x=3\) because plugging it into the original equation makes the denominator 0 on the right and left-hand sides, which is not allowed. Therefore, \(x=-1\) is the only solution.

The domain of this function is \((-\infty,3)\cup(3,4)\cup(4,\infty)\) since \(x=3\) and \(x=4\) make the denominators on both sides of the equation 0.

Based on the information provided, the suggested interval (0 < x < 2) could potentially be an interval during which the water balloon's height is increasing.

In general, if the height of the water balloon is increasing, it means that as time progresses, the height of the balloon is getting larger. This corresponds to a positive rate of change of the height with respect to time.

If we have a function that describes the height of the water balloon over time, we can calculate the derivative of that function with respect to time. If the derivative is positive within the interval (0 < x < 2), it means that the height is increasing during that interval.

However, without the specific function or more information, it is not possible to determine with certainty whether the water balloon's height is increasing within the given interval.

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Answer:

1/64 or 1.5625%

Step-by-step explanation:

To get to the answer shown above, we need to have a basic understanding of how probability works. Let's focus on the first part: "What is the probability that Frank is interviewed first" Since there are 8 people in the interview, that means that 8 people has to be in the denominator. Frank is one person and he represents 1/8th of the entire interviewees. So, the probability that he is chosen first is 1/8. Then, for the second part, we are also asked the probability of both frank being chosen first and Ed being chosen second. Ed is again only one person and thus has a 1/8 probability of being chosen. But, we are not done yet. We need to multiple the probabilities together because they have to happen simultaneously and in order. 1/8*1/8=1/64 or 1.5625%

The equivalent equation to the (x² - 5)² - 3x² + 15 = -2 in form of 'm' is given by option c.  m² -3m + 2 = 0.

The equation is equal to,

(x² - 5)² - 3x² + 15 = -2

let the value of m be equals to x² - 5.

Simplify the equation we have,

⇒ ( x² - 5 )² - 3x² + 15 = -2

Take '3' common factor from the 3x² + 15 so that it get convert into x² - 5 we get,

⇒ ( x² - 5 )² - 3 (x² - 5 )  = -2

Now replace x² - 5 by m to get the equivalent equation,

⇒ ( m )² - 3 (m ) = -2

⇒ m² -3m + 2 = 0

Therefore, the equivalent equation to the given equation is written as option c.  m² -3m + 2 = 0.

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We are given three points

F(4, 7)

G (5, 7)

H (5, 9)

This ordered of pairs can be represented using x and y

For point F

x = 4, and y = 7

For point G

x = 5, and y = 7

For point H

x = 5, and y = 9

The horizontal translations of exponential functions only affect the range of the function. The domain remains the same, and the asymptote is unaffected.

The domain of the function still persists as the same – all real numbers. When it comes to range, its variation may occur due to a horizontal shift. If C > 0, then the range will offset upwards by the value of C units, whereas if C < 0, then the range shifts downwards with the magnitude of the shift having no influence on the contour of the function.

Furthermore, exponential functions have a fixed horizontal asymptote at y =0, that is not affected by any horizontal translations and which overtly remains equal to its original function.

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Answer:

22: 2

23: -7

25: 6

26: 3

Let me know if this helped by clicking the help button or if not please comment with issues and I'll get right back to you!

Step-by-step explanation:

For 22: 2 * 2 * 2 = 8, therefore, 2

For 23:  -7 * -7 * -7 = -343. This results in a negative number because there is is an odd number of negative numbers (follows the odd-even negative rule).

For 25: Multiply both sides of the equation by -1/2 to get z^3 = 216. The cube root of 216 is 6

For 26: Add 11 to both sides to get 2h^3 = 54. Divide both sides by 2 to get h^3 = 27. Cube root of 27 is 3.

Let me know if this helped by clicking the help button or if not please comment with issues and I'll get right back to you!

frequency distribution graphs

Your answer: O none of the above

All of the options listed - frequency polygon, histogram, and ogive - are types of frequency distribution graphs.

A frequency polygon is a line graph of class frequency plotted against class midpoint. It can be obtained by joining the midpoints of the tops of the rectangles in the histogram

A histogram is a graphical representation of data points organized into user-specified ranges

The Ogive is defined as the frequency distribution graph of a series. The Ogive is a graph of a cumulative distribution, which explains data values on the horizontal plane axis and either the cumulative relative frequencies, the cumulative frequencies or cumulative percent frequencies on the vertical axis.

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Answer:

y = 14

Step-by-step explanation:

Step 1: Write equation

2y - 10 = 18

Step 2: Solve for y

Step 3: Check

Plug in y to verify it's a solution.

2(14) - 10 = 18

28 - 10 = 18

18 = 18

Answer:

y=14

Step-by-step explanation:

Problem set up looks like this: 2y-10=18

2y=28

y=14

The sum of all numbers less than one million that are palindromic in both base 10 and base 2 is 872187.

To solve this problem, we need to check whether each number less than one million is palindromic in both base 10 and base 2. If it is, we add it to our running total. Here's how we can do it:
First, we need to define what it means for a number to be palindromic. In base 10, a palindromic number reads the same from left to right as it does from right to left. For example, 585 is a palindromic number in base 10 because it reads the same forwards and backward.
In base 2, a palindromic number reads the same from left to right as it does when its digits are reversed. For example, 585 in base 2 is 1001001001, which is palindromic because it reads the same forwards and backwards.
To find all numbers less than one million that are palindromic in both base 10 and base 2, we can loop through each number from 1 to 999,999 and check if it is palindromic in both bases. Here's some Python code that does this:

total = 0
for i in range(1, 1000000):
   if str(i) == str(i)[::-1] and bin(i)[2:] == bin(i)[:1:-1]:
       total += i
print(total)

Let's break down this code:

- We start with a total of zero.
- We loop through each number from 1 to 999,999 using the range function.
- For each number, we check if it is palindromic in both base 10 and base 2.
- To check if a number is palindromic in base 10, we convert it to a string using str(i), reverse it using the slicing syntax [::-1], and compare it to the original string using ==.
- To check if a number is palindromic in base 2, we convert it to a binary string using bin(i)[2:] (which removes the "0b" prefix), reverse it using slicing syntax [:1:-1] (which skips the last character), and compare it to the original string using ==.
- If a number is palindromic in both bases, we add it to the total using the += operator.
- Finally, we print the total.

When we run this code, we get an answer of 872187. Therefore, the sum of all numbers less than one million that are palindromic in both base 10 and base 2 is 872187.

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Answer:

1:3.

Step-by-step explanation:

Probability(getting > 3 on one roll) = 3/6 = 1/2.

So on 2 cubes rolled the probability   of getting > 3 is 1/2 * 1/2 = 1/4.

As a ratio this is 1:3.

Answer:

Step-by-step explanation:

Negative numbers don't have real square roots since a square is either positive or 0. so it doesn't exist

Answer:

i

Step-by-step explanation:

the square root of  negative one is not real.

It is classed as an imaginary number denoted by  i , that is

\(\sqrt{-1}\) = i

Answer:

I think the answer would be n = 9/4

Answer:

true

Step-by-step explanation:

because there's less humidity

Answer:

y = 3x - 2

Step-by-step explanation:

The equation of a line is y = mx + c where m is the slope of the line and c is the y-intercept. I will be calculating the slope of the line using the points (1, 1) and (2, 4).

Slope = \(\frac{rise}{run}\)

          = \(\frac{4-1}{2-1}\)

          = 3

Based on the graph, the y-intercept is (-2) so the equation of the line is:

y = 3x - 2

Answer:

$12.50

Step-by-step explanation:

There is a 20% chance that a risky stock investment will end up in a total loss. If you invest in 25 independent risky stocks, the probability that fewer than six of these 25 stocks end up in total losses is approximately 0.91.

Given data:

Probability of getting a total loss in one investment = 20% = 0.20

Probability of not getting a total loss in one investment = 1 - 0.20 = 0.80

Number of investments = 25

We need to find the probability that fewer than six out of these 25 risky investments end up in total losses.

We will use the binomial distribution formula here:P(X < 6) = Σp(x) (from x = 0 to x = 5)

Here, Σ is the summation signp(x) = probability of x successes in 25 trials, which is given by the formula:

p(x) = [ nCx * p^x * (1-p)^(n-x)]

Where, n = number of trial

s = 25

p = probability of success = 0.80

q = probability of failure = 1 - p = 0.20n

Cx = n! / (x! × (n-x)!) = combination of n items taken x at a time

We need to substitute these values in the formula and calculate the probability:

P(X < 6) = Σp(x) (from x = 0 to x = 5)

P(X < 6) = p(0) + p(1) + p(2) + p(3) + p(4) + p(5)

P(X < 6) = \([25C0 * (0.80)^0 * (0.20)^25] + [25C1 * (0.80)^1 * (0.20)^24] + [25C2 * (0.80)^2 * (0.20)^23] + [25C3 * (0.80)^3 * (0.20)^22] + [25C4 * (0.80)^4 * (0.20)^21] + [25C5 * (0.80)^5 * (0.20)^20]\)

P(X < 6) ≈ 0.91

Therefore, the probability that fewer than six of these 25 stocks end up in total losses is approximately 0.91.

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The angles in the triangle are as follows:

m∠1 = 51 degrees

m∠2 = 33 degrees

m∠3 = 123 degrees

m∠4 = 24 degrees

The sum of angles in a triangle is 180 degrees. A right angle triangle is a triangle with one of its angles as 90 degrees.

Therefore, let's find the missing angle of the triangle.

Hence,

m∠1 = 180 - 72 - 57(sum of angles in a triangle)

m∠1 = 51 degrees

m∠2 = 90 - 72

m∠2 = 33 degrees

m∠3 = 180 - 57(sum of angles on a straight line)

m∠3 = 123 degrees

m∠4 = 180 - 123 - 33

m∠4 = 24 degrees

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Answer:

5/12

Step-by-step explanation:

Answer:

5/12.

Step-by-step explanation:

3/8 / 9/10

= 3/8 * 10/9

= 1/8 * 10/3

= 1/4 * 5/3

= 5/12

Answer:

Step-by-step explanation:

x/9=8/12

8/12=4/6=2/3

9

3*3

9*1

2/3*3/3=6/9

Hope this helped,

Kavitha

Answer: C. x=6

Step-by-step explanation: x/9=8/12

8/12/2/2=4/6/2/2=2/3

2×9/3

18/3

x=6

​  

220 pounds is equivalent to 99.79 kg.

To convert pounds (lbs) to kilograms (kg), you can use the conversion factor of 0.45359237. Multiply the number of pounds by 0.45359237 to get the number of kilograms. In this case, 220 pounds multiplied by 0.45359237 is equal to 99.79 kg.

It's important to note that this conversion is based on the International System of Units (SI) and may not be the same in other systems of measurement. Also, pound (lbs) and kilogram (kg) are units of mass and should not be confused with other units of measurements such as length, area and volume.

It's important to use the correct unit of measurement for the task or the context, otherwise it could lead to errors and inaccurate results. Also, it's important to make sure that the measurements are made on the same scale, otherwise the conversions may not be accurate.

Pounds are mostly used in the United States and United Kingdom, while kilograms is widely used in the rest of the world. It's also worth to mention that 220 pounds is a relatively heavy weight, it's considered to be overweight or obese for many people, and a healthy weight for others, it's important to consult with a doctor or a nutritionist to get a better understanding of what is a healthy weight for you.

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Answer:

See below for answers

Step-by-step explanation:

1st Problem:

Because the figure is a triangle, it's interior angles will add up to 180 always. Since it's a right triangle, we know one of the angles is 90, but we'll need to set up an equation to solve for x.

90+(2x-2)+(x+5)=180

2x-2+x+5=90

3x+3=90

3x=87

x=29

Therefore, B) 29, is the correct answer

2nd Problem:

Given side lengths of a, b, and c, if a+b<c, then it's a triangle. Since 8+8 is not less than 16, the sides do not make a triangle. The hypotenuse, c, must always be the longest length.

Therefore, A) Not a triangle, is the correct answer

3rd Problem:

To find angle x, we need the last interior angle of the triangle. Since the interior angles of a triangle add up to 180, we once again set up an equation to find the missing interior angle:

21+34+y=180

55+y=180

y=125

Since the missing interior angle is 125 degrees, it is supplementary to angle x, where supplementary angles add up to 180 degrees as well. So we would subtract 125 from 180 to get x. 180-125=55, so angle x is 55 degrees. Therefore, C) 55, is the correct answer.

4th Problem:

Again, use the Interior Angle Theorem to get x:

58+47+x=180

105+x=180

x=75

Therefore, A) 75, is the correct answer

5th Problem:

3,4,5 is a Pythagorean Triple, so it is a right triangle as 3^2+4^2=5^2. It is also scalene because none of the sides are equal to each other.

Therefore, B) Yes, scalene, is the correct answer

Answer:

Step-by-step explanation:

A jar of 150 jelly beans contains 22 red jelly beans, 38

yellow, 20 green, 28 purple, 26 blue, and the rest are orange.

Let B = the event of getting a blue jelly bean

Let G = the event of getting a green jelly bean.

Let O = the event of getting an orange jelly bean.

Let P = the event of getting a purple jelly bean.

Let R = the event of getting a red jelly bean.

Let Y = the event of getting a yellow jelly bean.

Find P(P).

Answer:

6 out of 20 chance

Or you can write it like this 6/20 or 6:20

Step-by-step explanation:

we add all of the jelly beans together to see how many are in the jar

6+5+4+5

20

Since there are 6 red jelly beans it is a 6 out 20 chance

Hopes this helps please mark brainliest

Answer:

$6.35

Step-by-step explanation:

10 quarters =

10 × .25 = $2.50

17 dimes =

17 × .10 = $1.70

40 nickels =

40 × .05 = $2.00

15 pennies =

15 × .01 = $0.15

2.50+1.70+2.00+.15

= 6.35

The total is $6.35.

Answer:

34

Step-by-step explanation: