One more question thank you

Answer:

Here's an example:

convert 2.5 into a mixed number.

Make the denominator less than the original.

The easy way for this is to do 25/10

when you put it through a calculator it ends up being 2.5

(essentially the mixed number and the decimal are the SAME numbers.)

Hope this clarified. :)

To convert a decimal to a mixed number, follow these steps:

Step 1: Identify the whole number part of the decimal. This is the part of the decimal before the decimal point.

Step 2: Identify the decimal part. This is the part of the decimal after the decimal point.

Step 3: Express the decimal part as a fraction by using the place value of the last digit.

Step 4: Simplify the fraction, if possible, by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it.

Step 5: Combine the whole number part, the fraction, and simplify if necessary.

Here's an example:

Let's say we have the decimal 2.75.

Step 1: The whole number part is 2.

Step 2: The decimal part is 0.75.

Step 3: To express 0.75 as a fraction, we write it as 75/100. Since 75 and 100 have a common factor of 25, we can simplify it to 3/4.

Step 4: The fraction 3/4 is already in its simplest form.

Step 5: Combining the whole number part and the fraction, we have 2 3/4.

So, the decimal 2.75 can be written as the mixed number 2 3/4.

Remember to always simplify the fraction part if possible.

Having the information that segment AC ≅ segment EF, angle B ≅ angle E, and segment BC ≅ segment FE is sufficient to prove that triangles ΔABC and ΔDEF are congruent by the Side-Angle-Side (SAS) criterion.

To prove that triangles ΔABC and ΔDEF are congruent using the Side-Angle-Side (SAS) criterion, we need the following additional information:

The length of segment AC is equal to the length of segment EF: This establishes that one pair of corresponding sides is congruent.

The measure of angle B is equal to the measure of angle E: This provides the congruent angle between the corresponding sides.

The length of segment BC is equal to the length of segment FE: This establishes that the other pair of corresponding sides are congruent.

By having this information, we can apply the SAS congruence criterion. The SAS criterion states that if two triangles have a pair of corresponding sides that are congruent, and the included angles are congruent, then the triangles are congruent.

In this case, having segments AC ≅ EF, angle B ≅ angle E, and segment BC ≅ FE would be sufficient to prove that ΔABC ≅ ΔDEF by SAS.

To learn more about Side-Angle-Side

https://brainly.com/question/30459968

#SPJ8

Answer:

(-2, 2)

Step-by-step explanation:

We will start by just plugging in the numbers to see if they work.

(-3, 5)

5<-(-3)+1

5<4

This is not possible, so the answer is not (-3, 5).

(-2, 2)

2<-(-2)+1

2<3

2>-2

The point (-2, 2) works for both equations, so that is the answer.

Answer:

[tex]m = \frac{35 - 15}{4 - 0} = \frac{20}{4} = 5[/tex]

[tex]y = 5x + 15[/tex]

Based on the provided data sets, it can be observed that both Data Set K and Data Set L have identical values. Therefore, their centers and spreads are also identical.

The center of a data set can be measured using various statistical measures such as the mean, median, or mode. Since the data sets have the same values, all these measures will yield the same result for both sets.

In this case, the center of Data Set K is equal to the center of Data Set L.

Similarly, the spread of a data set refers to the measure of variability or dispersion within the data. Common measures of spread include the range, variance, and standard deviation.

However, since the data sets are exactly the same, all these measures will yield identical results for both sets. Thus, the spread of Data Set K is the same as the spread of Data Set L.

In summary, both the center and the spread of Data Set K are the same as those of Data Set L. Therefore, there is no difference between the two data sets in terms of their central tendency or variability.

For more such questions sets,click on

https://brainly.com/question/13458417

#SPJ8

Step-by-step explanation:

a. f(g(0)) = f(0^2 - 2) = f(-2) = -2 + 3 = 1

b. g(f(0)) = g(0+3) = g(3) = 3^2 - 2 = 7

c. f(g(x)) = g(x) + 3 = x^2 - 2 + 3 = x^2 + 1

d. g(f(x)) = f(x)^2 - 2 = (x+3)^2 - 2 = x^2 + 6x + 7

e. f(f(-2)) = f(-2+3) = f(1) = 1+3 = 4

f. g(g(4)) = g(4^2 - 2) = g(14) = 14^2 - 2 = 194

g. f(f(x)) = f(x+3) = (x+3)+3 = x+6

h. g(g(x)) = g(x^2 - 2) = (x^2 - 2)^2 -2 = x^4 - 4x^2 + 2

The cubic function with the desired properties is:

f(x) = (-3/4)x³ - (9/4)x² - (113/4)x + 63/4

To find the values of a, b, c, and d, we can use the given information about the relative maximum, relative minimum, and point of inflection.

Relative Maximum:

The point (-7, 163) is a relative maximum. At this point, the derivative of the cubic function is equal to zero. Taking the derivative of the cubic function, we have:

f'(x) = 3ax² + 2bx + c

Setting x = -7 and f'(-7) = 0, we get:

49a - 14b + c = 0

Relative Minimum:

The point (5, -125) is a relative minimum. At this point, the derivative of the cubic function is equal to zero. Taking the derivative of the cubic function, we have:

f'(x) = 3ax² + 2bx + c

Setting x = 5 and f'(5) = 0, we get:

75a + 10b + c = 0

Point of Inflection:

The point (-1, 19) is a point of inflection. At this point, the second derivative of the cubic function changes sign. Taking the second derivative of the cubic function, we have:

f''(x) = 6ax + 2b

Setting x = -1, we get:

-6a + 2b = 0

Solving the system of equations formed by the above three equations, we can find the values of a, b, c, and d.

49a - 14b + c = 0

75a + 10b + c = 0

-6a + 2b = 0

Solving these equations, we find:

a = -3/4

b = -9/4

c = -113/4

d = 63/4

Therefore, the cubic function with the desired properties is:

f(x) = (-3/4)x³ - (9/4)x² - (113/4)x + 63/4

The amount of money there would be in 18 years is $82078.65.

The value of the bond increased over the 18 years period.

In Mathematics and Financial accounting, compound interest can be calculated by using the following mathematical equation (formula):

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where:

By substituting the given parameters into the formula for compound interest, we have the following;

[tex]A(18) = 20000(1 + \frac{0.08}{2})^{2 \times 18}\\\\A(18) = 20000(1.04)^{36}[/tex]

Future value, A(18) = $82078.65

Read more on compound interest here: brainly.com/question/16608367

#SPJ1

Answer:

  $82078.65

Step-by-step explanation:

You want the value of a $20,000 investment that pays 8% interest compounded semiannually for 18 years.

The value of the investment of principal amount P at interest rate r compounded n times per year for t years is given by the formula ...

  A = P(1 +r/n)^(nt)

Using the given values, we find the amount of money in 18 years will be ...

  A = $20,000(1 + 0.08/2)^(2·18) = $20,000(1.04^36) ≈ $82,078.65

In 18 years there will be $82,078.65.

__

Additional comment

Some calculators and all spreadsheets have built-in functions for evaluating financial formulas.

<95141404393>

The correct answer choice is: A. The system has exactly one solution. The solution is (11, 7).

The correct answer choice is: A. all three countries had the same population of 7 thousand in the year 2011.

Based on the information provided above, the population (y) in the year (x) of the countries listed are approximated by the following system of equations:

-x + 20y = 129

-x + 10y = 59

y = 7

where:

By solving the system of equations simultaneously, we have the following solution:

-x + 20(7) = 129

x = 140 - 129

x = 11

-x + 10(7) = 59

x = 70 - 59

x = 11

Therefore, the system of equations has only one solution (11, 7).

For the year when the population are all the same for three countries, we have:

x = 2010 + (11 - 10)

x = 2011

Read more on solution and equation here: brainly.com/question/25858757

#SPJ1

Answer:

[tex]\textsf{C)} \quad -\dfrac{3}{2}[/tex]

Step-by-step explanation:

To find the average rate of change of a function over an interval, we can use the formula:

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Average rate of change of function $f(x)$}\\\\$\dfrac{f(b)-f(a)}{b-a}$\\\\over the interval $a \leq x \leq b$\\\end{minipage}}[/tex]

In this case, the interval is [4, 8], so:

From inspection of the given graph:

Substitute the values into the formula to calculate the average rate of change:

[tex]\begin{aligned}\text{Average rate of change}&=\dfrac{h(8)-h(4)}{8-4}\\\\&=\dfrac{3-9}{8-4}\\\\&=\dfrac{-6}{4}\\\\&=-\dfrac{3}{2}\end{aligned}[/tex]

Therefore, the average rate of change of h(x) over the interval [4, 8] is -3/2.

Answer:

Blank A:  (17, 0)

Blank B:  (-2, 19)

Step-by-step explanation:

Blank A:

Step 1:  Find the slope of AB:

Before we can find the equation of CD, we'll first need to find the slope of AB

We can do this using the slope formula, which is given by:

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

Thus, we can plug in (-10, -3) for (x1, y1) and (7, 14) for (x2, y2) in the slope formula to find m, the slope of AB:

m = (14 - (-3)) / (7 - (-10))

m = (14 + 3) / (7 + 10)

m = 17 / 17

m = 1

Thus, the slope of AB is 1.

Step 2:  Find the slope of CD:

The slope of perpendicular lines are negative reciprocals of each other as shown by the following formula:

m2 = -1 / m1, where

Thus, we can plug in 1 for m1 in the perpendicular slope formula to find m2, the slope of CD:

m2 = -1 / 1

m2 = -1

Thus, the slope of CD is -1.

Step 3:  Find the y-intercept of CD:

One of the equations we can use when looking for intercepts is the slope-intercept form of a line, whose general equation is given by:

y = mx + b, where

Thus, we can plug in (5, 12) for (x, y) and -1 for m to find b, the y-intercept of the line, allowing us to have the full equation in slope-intercept of CD:

12 = -1(5) + b

12 = -5 + b

17 = b

Thus, the equation of CD is y = -x + 17

For any x-intercept, the y-coordinate will always be 0 since the line is intersecting the x-axis.

Thus, we can find the x-coordinate of the x-intercept by plugging in 0 for y in y = -x + 17 and solving for x:

0 = -x + 17

-17 = -x

17 = x

Thus, the x-coordinate of the x-intercept of CD is 17.

Thus, the coordinates of the x-intercept of CD are (17, 0)

Blank B:

We can see that (-2, 19) lies on CD when we plug in (-2, 19) for (x, y) in y = -x + 17, as we get 19 on both sides of the equation when simplifying:

19 = -(-2) + 17

19 = 2 + 17

19 = 19

Thus, (-2, 19) lies on CD.

Answer:

Step-by-step explanation:

I cannot see the graphs.

Answer:

The description provides the clues for each digit in a 6-digit number. Let's break it down:

1. Highest place value and lowest place value has a number equals to the number of days in a week: There are 7 days in a week, so the first and last digits are 7.

2. Hundreds place is equal to half a dozen: Half a dozen is 6, so the third digit from the right (hundreds place) is 6.

3. Tens place is the number of sides of a triangle: A triangle has 3 sides, so the second digit from the right (tens place) is 3.

4. Thousands place is equal to the number of poles of earth: Earth has two poles, so the second digit from the left (thousands place) is 2.

5. Ten thousands place is equal to result of subtracting any number from itself: Subtracting any number from itself yields 0, so the third digit from the left (ten thousands place) is 0.

Putting it all together, the 6-digit number would be: 702,637.

The formula to find the value of a combination is

[tex]C(n, r) = n! / (r!(n-r)!),[/tex]

where n represents the total number of items and r represents the number of items being chosen at a time. 10C0 is 1

In the  combination,

n = 10 and r = 0,

so the formula becomes:

C(10,0) = 10! / (0! (10-0)!) = 10! / (1 x 10!) = 1 / 1 = 1

This means that out of the 10 items, when choosing 0 at a time, there is only 1 way to do so. In other words, choosing 0 items from a set of 10 items will always result in a single set. This is because the empty set (which has 0 items) is the only possible set when no items are chosen from a set of items. Therefore, the value of the combination 10C0 is 1.

For more question combination,

https://brainly.com/question/1301954

Answer:

59

Step-by-step explanation:

6 plus 4 equals 8 plus 9

The angular velocity of the object is 31.25 radians/second.

Angular velocity is defined as the change in angular displacement per unit of time. In this case, the object rotates a total of 25 radians in 0.8 seconds. Therefore, the angular velocity can be calculated by dividing the total angular displacement by the time taken.

Angular velocity (ω) = Total angular displacement / Time taken

Given that the object rotates 25 radians and the time taken is 0.8 seconds, we can substitute these values into the formula:

ω = 25 radians / 0.8 seconds

Simplifying the equation gives:

ω = 31.25 radians/second

So, the angular velocity of the object is 31.25 radians/second.

Angular velocity measures how fast an object is rotating and is typically expressed in radians per second. It represents the rate at which the object's angular position changes with respect to time.

In this case, the object completes a rotation of 25 radians in 0.8 seconds, resulting in an angular velocity of 31.25 radians per second. This means that the object rotates at a rate of 31.25 radians for every second of time.

For more such questions on angular velocity visit:

https://brainly.com/question/15154527

#SPJ8

Note the translated question is:

An object that is rotated moves 25 radians in 0.8 seconds. what is the angular velocity of said object?

To show that ABC ≅ AXYZ by SAS, we would need to establish that angle BAC ≅ angle XYZ.

To show that triangles ABC and AXYZ are congruent by the Side-Angle-Side (SAS) criterion, we need to establish that two corresponding sides and the included angle are congruent.

Given AB ≅ XY and BC ≅ YZ, we already have two corresponding sides congruent.

To complete the congruence by the SAS criterion, we need to establish that the included angles are congruent. In this case, the included angle is angle BAC (or angle XYZ).

Therefore, to show that ABC ≅ AXYZ by SAS, we would need to establish that angle BAC ≅ angle XYZ.

None of the answer choices directly addresses the congruence of the angles. So, none of the given options (A, B, C, D) are sufficient to show the congruence of the triangles by SAS.

for such more question on triangles

https://brainly.com/question/14285697

#SPJ8

Answer:

45 inches represent 55 miles on the scale drawing.

Step-by-step explanation:

To solve this proportion, we can set up the following ratio:

9 inches / 11 miles = x inches / 55 miles

We can cross-multiply to solve for x:

9 inches * 55 miles = 11 miles * x inches

495 inches = 11 miles * x inches

Now, we can isolate x by dividing both sides by 11 miles:

495 inches / 11 miles = x inches

Simplifying the expression:

45 inches = x inches

Answer:

781250

Step-by-step explanation:

The sequence is has common ratio of 5 so the equation is 10*5^x-2 or 2*5^x so 2*5^8=781250

Answer:

ar⁷= 781,250

Step-by-step explanation:

a =10

ar =50

ar² = 250

8th term = ar⁷=?

r = ar/a

= 50/10

r =5

ar⁷ = 10 × 5 ⁷

=10 × 78125

= 781,250

The value of 12 remains 12.

The value of X cannot be determined without additional information.

The value of 25° remains 25°.

To find the values of the variables in the given information, we have:

12: This is a given value and does not require calculation. Therefore, the value of 12 remains as it is.

X: Without additional information or an equation to solve, we cannot determine the value of X. It could represent any unknown quantity or variable, and its specific value would depend on the context or problem being solved.

25°: This is an angle measure in degrees. The value of 25° remains as it is.

To summarize:

The value of 12 remains 12.

The value of X cannot be determined without additional information.

The value of 25° remains 25°.

for such more question on value

https://brainly.com/question/27746495

#SPJ8

The measure of the intercepted arc SU in the circle is 112 degrees.

An inscribed angle is simply an angle with its vertex on the circle and whose sides are chords.

The relationhip between an an inscribed angle and intercepted arc is expressed as:

Inscribed angle = 1/2 × intercepted arc.

From the diagram:

Inscribed angle = 56 degrees

Intercepted arc SU= ?

Plug the given value into the above formula and solve for the intercepted arc.

Inscribed angle = 1/2 × intercepted arc

56 = 1/2 × arc SU

Multiply both sides by 2:

56 × 2 = 1/2 × 2 × arc SU

112 = arc SU

Arc SU = 112°

Therefore, the intercepted arc measure 112 degrees.

Learn more about inscribed angles here: brainly.com/question/29017677

#SPJ1

The value of the rational expression when x is equal to 4 is 2. The correct answer is option C: 2.

To find the value of the rational expression (x - 12)/(x - 8) when x is equal to 4, we substitute x = 4 into the expression:

[(4) - 12]/[(4) - 8]

Simplifying the numerator and denominator:

(4 - 12)/(-4)

Further simplifying the numerator:

(-8)/(-4)

Now, we can divide -8 by -4:

(-8)/(-4) = 2

So, when x is equal to 4, the value of the rational expression is 2.

Therefore, C is the right response.

for such more question on rational expression

https://brainly.com/question/29061047

#SPJ8

Answer:

You multiply each coordinate by 4

Step-by-step explanation:

Rule: (x, y) to (4x, 4y)

A: (-6,5) to A' (-24, 20)

B: (-4, 2) to B' (-16, 8)

C: (-6, 2) to C' (-24, 8)

The calculated value of x to the nearest degree is 56

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

The triangle

The value of x can be caluclated using the following cosine rule

So, we have

cos(x) = 5/9

Evaluate the quotient

cos(x) = 0.5556

Take the arc cos of both sides

x = 56

Hence, the value of x to the nearest degree is 56

Read more about angles at

https://brainly.com/question/28293784

#SPJ1

The loan principal is $12,483.33, and the loan's maturity value is $15,479.33.

To calculate the loan principal, we can use the formula for simple interest:

Interest = Principal x Rate x Time

Given that Rebecca earned $2,996 as interest, the rate is 2.00% per month (or 0.02), and the time is 12 months, we can plug in these values into the formula and solve for the principal:

$2,996 = Principal x 0.02 x 12

$2,996 = Principal x 0.24

Dividing both sides of the equation by 0.24, we get:

Principal = $2,996 / 0.24

Principal = $12,483.33

So, the loan principal is $12,483.33.

To calculate the loan's maturity value, we need to add the principal and the interest earned. Since the interest earned is $2,996 and the principal is $12,483.33, the maturity value can be calculated as:

Maturity Value = Principal + Interest

Maturity Value = $12,483.33 + $2,996

Maturity Value = $15,479.33

Therefore, the loan's maturity value is $15,479.33.

For more such questions on maturity value visit:

https://brainly.com/question/30672020

#SPJ8

Answer:

Step-by-step explanation:

Certainly! I'm here to assist you.

The given function is f(x) = -2(x - 3).

To simplify this expression, we can distribute the -2 to the terms inside the parentheses:

f(x) = -2 * x - (-2) * 3

Simplifying further:

f(x) = -2x + 6

Therefore, the simplified form of the function f(x) = -2(x - 3) is f(x) = -2x + 6.

a. There are 15,600 ways to select a president, a vice president, and a secretary from a class of 26 members.

b. There are 14,950 ways to form a 4-person committee from a class of 26 members.

a. To select a president, a vice president, and a secretary from a class of 26 members, we can use the concept of permutations.

For the president position, we have 26 choices. After selecting the president, we have 25 choices remaining for the vice president position. Finally, for the secretary position, we have 24 choices left.

The total number of ways to select a president, a vice president, and a secretary is obtained by multiplying the number of choices for each position:

Number of ways = 26 * 25 * 24 = 15,600

Therefore, there are 15,600 ways to select a president, a vice president, and a secretary from a class of 26 members.

b. To form a 4-person committee from a class of 26 members, we can use the concept of combinations.

The number of ways to choose a committee of 4 people can be calculated using the formula for combinations:

Number of ways = C(n, r) = n! / (r!(n-r)!)

where n is the total number of members (26 in this case) and r is the number of people in the committee (4 in this case).

Plugging in the values, we have:

Number of ways = C(26, 4) = 26! / (4!(26-4)!)

Calculating this expression, we get:

Number of ways = 26! / (4! * 22!)

Using factorials, we simplify further:

Number of ways = (26 * 25 * 24 * 23) / (4 * 3 * 2 * 1) = 14,950

Therefore, there are 14,950 ways to form a 4-person committee from a class of 26 members.

for such more question on committee

https://brainly.com/question/22008756

#SPJ8

Answer:

Step-by-step explanation:

To simplify the expression (5x - 2) / (x - 2) - (4x), we can follow these steps:

First, let's simplify the numerator:

5x - 2

Now, let's distribute the negative sign to the term (4x):

-4x

Next, let's combine the terms in the numerator:

(5x - 2) - 4x = 5x - 2 - 4x = x - 2

Now, let's rewrite the expression:

(x - 2) / (x - 2) - 4x

Since we have (x - 2) as both the numerator and denominator, we can simplify further by canceling out the common factor:

1 - 4x

Therefore, the simplified form of the expression (5x - 2) / (x - 2) - (4x) is 1 - 4x.

The periods of daylight and darkness on that day are approximately:

Daylight: 202.5°

Darkness: 157.5°

Hence, the correct option is:

C. 202°3°, 157°30'

To calculate the periods of daylight and darkness on a certain day, we need to find the difference between the times of sunrise and sunset.

Sunrise time: 5.30 am

Sunset time: 7.00 pm

To find the period of daylight, we subtract the sunrise time from the sunset time:

Daylight = Sunset time - Sunrise time

First, let's convert the times to a 24-hour format for easier calculation:

Sunrise time: 5.30 am = 05:30

Sunset time: 7.00 pm = 19:00

Now, let's calculate the period of daylight:

Daylight = 19:00 - 05:30

To subtract the times, we need to convert them to minutes:

Daylight = (19 * 60 + 00) - (05 * 60 + 30)

Daylight = (1140 + 00) - (330)

Daylight = 1140 - 330

Daylight = 810 minutes

To convert the period of daylight back to degrees, we can use the fact that in 24 hours (1440 minutes), the Earth completes a full rotation of 360 degrees.

Daylight (in degrees) = (Daylight / 1440) * 360

Daylight (in degrees) = (810 / 1440) * 360

Daylight (in degrees) ≈ 202.5 degrees

To find the period of darkness, we subtract the period of daylight from a full circle of 360 degrees:

Darkness = 360 - Daylight

Darkness = 360 - 202.5

Darkness ≈ 157.5 degrees

Therefore, the periods of daylight and darkness on that day are approximately:

Daylight: 202.5°

Darkness: 157.5°

for such more question on periods

https://brainly.com/question/30389220

#SPJ8

The Total Surface Area of the given prism is: 1,230.4 m²

The volume of the prism is calculated as:

Volume = Base Area * Height

The total surface area is the sum of the surface area of all individual surfaces and as such we have:

Total Surface Area = (21 * 16) + (21 * 16) + (21 * 16) + 2(0.5 * 16 * 13.9)

Total Surface Area = 336 + 336 + 336 + 222.4

Total Surface Area = 1,230.4 m²

That is the final total surface area of the given rectangular based prism

Read more about surface area  at: https://brainly.com/question/30794567

#SPJ1