Mr. Johnson placed three desks together in his classroom. Each desk measures at 1.5 meters.
How many centimeters are all three desks?

a. The probability that all four units are good is 0.2067 (approx),

b. The probability that exactly two units are good is 0.0226 (approx).

Given a shipment of 13 microwave ovens contains four defective units and a vending company purchases four units at random, we need to calculate the probability of the following events:

(a) all four units are good.

(b) exactly two units are good.

(a) What is the probability that all four units are good?

To solve this, we need to use the formula for the probability of an intersection of independent events.

Since the probability of getting a good unit is 9/13, then the probability of getting 4 good units in a row is calculated as follows:

P(All 4 units are good) = P(Good unit) × P(Good unit) × P(Good unit) × P(Good unit) = 9/13 × 9/13 × 9/13 × 9/13 = 47829609/232044048 = 0.2067 (approx)

(b) What is the probability that exactly two units are good?

Here, we need to use the binomial probability formula since the number of good units follows a binomial distribution. We need to find the probability of getting exactly 2 good units, given that we are purchasing 4 units.

P(exactly 2 units are good) = C(4,2) × P(Good unit)² × P(Defective unit)²

= 6 × (9/13)² × (4/13)²

= 52488/2320440

= 0.0226 (approx)

For similar question probability.

https://brainly.com/question/25428940

#SPJ11

Answer:

Answer and Explanation: The symmetric bell shape of the normal curve implies that the skewness of the distribution of the data is 0, and most of the observation is located at the middle of the distribution. The shape of the normal distribution is not positive and negative skewed, the shape seems to be bell-shaped.

HOPE THIS HELPS!

There are 300 ways a person can go from P to Q and return by a different bus.

To find the number of ways a person can go from P to Q and return by a different bus, we can use the combination formula:

nCr = n! / (r! × (n-r)!)

where n is the total number of options, and r is the number of choices we want to make.

In this case, there are 25 buses running between P and Q, so the total number of options for going from P to Q and returning by a different bus is 25 × 24 (since we have 25 choices for the first leg of the journey, and 24 choices for the second leg).

To find the total number of ways to make this choice, we can use the combination formula with n = 25×24 and r = 2

nCr = (25×24)! / (2! × (25×24-2)!)

= (25 × 24)! / (2! × 23!)

= (25×24) / 2

= 300

Learn more about combination here

brainly.com/question/2295036

#SPJ4

The dimensions that maximize the enclosed area are L = 41.665 feet and W = 41.665 feet for each corral and the maximum area is 10868.09 square feet.

To find the dimensions that maximize the enclosed area, we need to use optimization techniques. Let's denote the length of each rectangular corral by L and the width by W. We can write the total enclosed area as A = 6LW.

The perimeter of each corral is given by P = 2L + 2W, and we have a total of 6 corrals, so the total length of fencing required is 6P = 12L + 12W.

We are given that we have 1,000 feet of fencing, so we can write 12L + 12W = 1000, or equivalently, L + W = 83.33 (rounded to two decimal places).

We can now use this equation to express one of the variables (say, W) in terms of the other: W = 83.33 - L.

Substituting this expression for W into the formula for the enclosed area, we get A = 6L(83.33 - L) = 499.98L - 6L^2.

To find the value of L that maximizes the area, we need to take the derivative of A with respect to L and set it equal to zero: dA/dL = 499.98 - 12L = 0. Solving for L, we get L = 41.665 (rounded to three decimal places).

Substituting this value back into the expression for W, we get W = 83.33 - L = 41.665.

The maximum area is A = 6LW = 10868.09 square feet (rounded to two decimal places).

To learn more about area click on,

https://brainly.com/question/24760689

#SPJ4

To put fractions in order from least to greatest, you need to compare their values by finding the common denominator.

Step 1: Find a common denominator for all the fractions.

Step 2: Convert each fraction to an equivalent fraction with the common denominator.

Step 3: Compare the numerators of the equivalent fractions. The fraction with the smallest numerator is the smallest fraction, and the fraction with the largest numerator is the largest fraction.

Step 4: If two or more fractions have the same numerator, compare their denominators. The fraction with the smallest denominator is the smallest fraction, and the fraction with the largest denominator is the largest fraction.

Step 5: Write the fractions in order from least to greatest.

For example, let's say you need to put the fractions 1/3, 2/5, and 3/8 in order from least to greatest.

Step 1: The common denominator for 3, 5, and 8 is 120.

Step 2: Convert each fraction to an equivalent fraction with a denominator of 120.

1/3 = 40/120

2/5 = 48/120

3/8 = 45/120

Step 3: Compare the numerators of the equivalent fractions: 40 < 45 < 48

Step 4: Since 40 is not equal to 45 or 48, we don't need to compare the denominators.

Step 5: Write the fractions in order from least to greatest: 1/3 < 3/8 < 2/5.

To learn more about fractions click on,

https://brainly.com/question/29158062

#SPJ4

Thus, the distance of ladder from the building is found to be 11.53 ft.

Exactly single right angle measure 90 degrees characterises a right triangle.

The hypotenuse of the a right triangle's square is equal to the sum of its other two sides, according to the Pythagorean Theorem. It is written as a²+b²=c² in equation form.

Pythagoras is in the form of;

a²+b²=c²

Let the distance of ladder from the building be 'x'.

Height of ladder from ground h = 6 ft.

Length of ladder l = 13 ft.

Here, using the Pythagorean theorem;

x² + 6² = 13²

x²  = 13² -  6²

x²  = 169 - 36

x²  = 133

x = √133

x = 11.53

Thus,  the distance of ladder from the building is found to be 11.53 ft.

Know more about the Pythagorean theorem

https://brainly.com/question/343682

#SPJ1

Using the identity sin² 0 + cos² 0 = 1, the value of cos 0 is 0.951 (to the nearest hundredth)

Using the identity sin² 0 + cos² 0 = 1, we can solve for cos 0:

cos² 0 = 1 - sin² 0

cos² 0 = 1 - (-0.31)²

cos² 0 = 1 - 0.0961

cos² 0 = 0.9039

Taking the square root of both sides, we get:

cos 0 ≈ ±0.951

Since 0 is in the interval ³ < 0 < 2π, we know that cos 0 must be positive. Therefore, to the nearest hundredth, cos 0 ≈ 0.95.

Learn more about interval at https://brainly.com/question/479532

#SPJ1

The length of segment AB, is calculated using the formulae velow

Information from the question

a figure of right triangle

The length of AB is worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The length of AB is solved using sin, cos and tan as follows

Sin = opposite / hypotenuse - SOH

sin C = AB / 10

AB = 10 Sin C

Cos = adjacent / hypotenuse - CAH

cos A = AB / 10

AB = 10 cos A

Tan = opposite / adjacent - TOA

tan C = AB / 8

AB = 8 tan C

Learn more about SOH CAH TOA here:

https://brainly.com/question/29334128

#SPJ1

The inverse function is R(L) = (360 - L)/15. It will take 8 weeks to pay loan if student owes $240 and 24 weeks to pay off the whole loan.

A. Let's start by defining the function L(w) as the amount owed w weeks after the student borrows the money. The student borrowed $360 and agreed to pay $15 per week, so the amount owed after w weeks can be calculated as:

L(w) = $360 - $15w

B. To find the inverse of function L, we need to switch the roles of the input and output variables. Let's call the inverse function R, where R(L) is the number of weeks it takes to pay off the loan if the amount owed is L. We can solve the equation from part A for w:

L(w) = $360 - $15w

$15w = $360 - L

w = (360 - L)/15

Therefore, the inverse function R(L) is:

R(L) = (360 - L)/15

This function tells us how many weeks it will take to pay off the loan for a given amount owed. For example, if the student owes $240, we can plug that into the inverse function to find out how many weeks it will take to pay off the loan:

R($240) = (360 - 240)/15 = 8

So it will take 8 weeks to pay off the loan if the student owes $240.

C. To find out how many weeks it will take to pay off the loan, we need to find the value of w when L(w) = 0 (i.e., when the loan is fully paid off). We can set L(w) = 0 and solve for w:

L(w) = $360 - $15w = 0

$15w = $360

w = 24

So it will take 24 weeks to pay off the loan.

Learn more about loan here: brainly.com/question/26011426

#SPJ4

The measure of angle R in ΔSRT which is drawn inside the circle is 77.5°.

Circle is a two-dimensional shape that is defined as the set of all points that are equidistant from a central point. It is often represented as a round shape with a curved boundary.

Since SR is a diameter of the circle, it follows that angle STR is a right angle (90°). Therefore, we can find the measure of angle SRT using the following equation:

∠SRT + ∠STR = 180°

(2x-23°) + 90° = 180°

2x + 67° = 180°

2x = 180° - 67°

2x = 113°

x = 56.5°

∠TRS = 5x-97°

∠TRS = 5(56.5°)-97°

∠TRS = 192.5°

Finally, we can find the measure of angle SRT:

∠SRT = 180° - ∠STR - ∠TRS

∠SRT = 180° - 90° - 192.5°

∠SRT = -102.5°

Therefore, to find the measure of angle R, we need to add 180° to angle SRT:

∠R = ∠SRT + 180°

∠R = -102.5° + 180°

∠R = 77.5°

To know more about angle visit:

https://brainly.com/question/13483158

#SPJ1

The sum of the first 50 terms is 3775. Let a be the first term and d be the common difference of the arithmetic sequence.

Then, the tenth term is a + 9d = 28, and the sum of the fifth and seventh terms is 2a + 12d = 32.

Solving these equations simultaneously, we get a = 2 and d = 3.

To find the sum of the first 50 terms, we use the formula for the sum of an arithmetic sequence:

S50 = (50/2)(2a + (50-1)d) = 25(2 + 49(3)) = 3775.

Find out more about arithmetic sequence

brainly.com/question/15412619

#SPJ4

BC will be congruent to AD under the C.P.C.T rule (corresponding parts of congruent triangles.)

Triangle congruence: Two triangles are said to be congruent if their three corresponding sides and their three corresponding angles are of identical size.

You can move, flip, twist, and turn these triangles to produce the same effect. When relocated, they are parallel to one another.

Two triangles are congruent if they satisfy all five conditions for congruence.

They include the right angle-hypotenuse-side (RAHS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and angle-side-angle (SSS) (RHS).

So, in the given △DAB and △DCB:

AC = AC = Common

∠DAC = ∠BAC = AC is the angle bisector

∠DCA = ∠BCA = AC is the angle bisector

Then, △DAB ≅ △DCB under the ASA congruency rule,

Then, BC will be congruent to AD under the C.P.C.T rule (corresponding parts of congruent triangles.)

Therefore, BC will be congruent to AD under the C.P.C.T rule (corresponding parts of congruent triangles.)

Know more about triangle congruency here:

https://brainly.com/question/2938476

#SPJ1

Answer:

Step-by-step explanation:

The total surface area includes:

The area is:

f(x) = 3x2 + 4x − 9,  the coefficient of x2 is 3, the coefficient of x is 4, and the constant is -9. This can be written in interval notation as [−9, ∞).

Interval notation is a mathematical notation used to express the range of a variable. It is used to represent intervals on the number line, either on the real line or on the complex plane.

In this case, the domain of f(x) = 3x2 + 4x − 9 is all real numbers. The range of this function is all real numbers greater than or equal to -9. This can be written in interval notation as [−9, ∞).

The function is a quadratic polynomial of the form ax2 + bx + c. The domain of a polynomial function is all real numbers (i.e. any x-value). The range of the function is the set of all y-values that it can produce.

Here the coefficient of x2 is 3, the coefficient of x is 4, and the constant is -9. This means that the minimum y-value that the function can produce is -9. This means that the range of the function is all real numbers greater than or equal to -9.

For more questions related to polynomial

https://brainly.com/question/2833285

#SPJ1

Answer:

Karen needed to put 5 gallons 3 quarts of gas into her boat on Monday and twice as much on Saturday. To convert 5 gallons 3 quarts to gallons, we can add the number of quarts to the number of gallons and convert the total to gallons. Therefore, 5 gallons 3 quarts is equal to 5 + 3/4 = 5.75 gallons. Twice as much is 2 x 5.75 = 11.5 gallons. Therefore, Karen needed a total of 5.75 + 11.5 = 17.25 gallons of gas for both days. Since she had an 18-gallon jug of gas available, she had enough gas for both days.

The number of different colors that Sam can use for the triangle is given as follows:

60 different colors.

The Fundamental Counting Theorem (also known as the multiplication rule) is a fundamental principle in combinatorics that describes how to count the number of possible outcomes in a sequence of events.

The theorem states that if there are m ways that one event can occur and n ways that a second event can occur, then there are m x n ways that both events can occur.

The parameters for this problem are given as follows:

Hence the number of options is obtained as follows:

5 x 4 x 3 = 60 options.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/15878751

#SPJ1

Answer:$69.99

Step-by-step explanation:

If you start with $100 and spend 3.5% of it every day for 10 days, the amount of money you will have left at the end of the 10 days can be calculated as follows:

Day 1:

Starting with $100

Spending 3.5% of $100 = $3.50

Money left = $100 - $3.50 = $96.50

Day 2:

Starting with $96.50 (money left from Day 1)

Spending 3.5% of $96.50 = $3.38

Money left = $96.50 - $3.38 = $93.12

Day 3:

Starting with $93.12 (money left from Day 2)

Spending 3.5% of $93.12 = $3.26

Money left = $93.12 - $3.26 = $89.86

Continue this process for each of the 10 days, and you will have:

Day 4: $86.72

Day 5: $83.68

Day 6: $80.75

Day 7: $77.92

Day 8: $75.18

Day 9: $72.54

Day 10: $69.99

Therefore, after 10 days of spending 3.5% of $100 every day, you will have $69.99 left.

Answer:

Step-by-step explanation:

69.99

Joelle has a total of 32 yards of ribbon in all, the correct option is A.

Let's use x to represent Joelle's total amount of ribbon. We know that 24 yards of the ribbon represent 86% of her total amount of ribbon, which can be expressed as:

24 = 0.86x

We can solve for x by dividing both sides by 0.86:

x = 27.91

The response options are all integers, thus we must round to the closest whole number because of this. Since 0.91 is greater than or equal to 0.5, we round up to 28.

Therefore, Joelle has a total of

x = 27.91 / 0.86

= 32.44 yards of ribbon.

Once again, we round to the nearest whole number, which is 32.

To learn more about yards follow the link:

https://brainly.com/question/28365360

#SPJ1

The complete question is:

To wrap gift boxes, Joelle uses 24 yards of ribbon, which is 86 of her total amount of ribbon. How many yards of ribbon does she have in all?

A 32

B 192

C 300

D 1920​

Answer: 6

Step-by-step explanation:

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

The factors of 78 are: 1, 2, 3, 6, 13, 26, 39, 78

Then the greatest common factor is 6.

Heres something you need to learn about the greatest common factor (gcf)

What is the Greatest Common Factor?

The largest number, which is the factor of two or more numbers is called the Greatest Common Factor (GCF). It is the largest number (factor) that divide them resulting in a Natural number. Once all the factors of the number are found, there are few factors that are common in both. The largest number that is found in the common factors is called the greatest common factor. The GCF is also known as the Highest Common Factor (HCF)

Let us consider the example given below:

Greatest Common Factor (GCF)

For example – The GCF of 18, 21 is 3. Because the factors of the number 18 and 21 are:

Factors of 18 = 2×9 =2×3×3

Factors of 21 = 3×7

Here, the number 3 is common in both the factors of numbers. Hence, the greatest common factor of 18 and 21 is 3.

Similarly, the GCF of 10, 15 and 25 is 5.

How to Find the Greatest Common Factor?

If we have to find out the GCF of two numbers, we will first list the prime factors of each number. The multiple of common factors of both the numbers results in GCF. If there are no common prime factors, the greatest common factor is 1.

Finding the GCF of a given number set can be easy. However, there are several steps need to be followed to get the correct GCF. In order to find the greatest common factor of two given numbers, you need to find all the factors of both the numbers and then identify the common factors.

Find out the GCF of 18 and 24

Prime factors of 18 – 2×3×3

Prime factors of 24 –2×2×2×3

They have factors 2 and 3 in common so, thus G.C.F of 18 and 24 is 2×3 = 6

Also, try: GCF calculator

GCF and LCM

Greatest Common Factor of two or more numbers is defined as the largest number that is a factor of all the numbers.

Least Common Multiple of two or more numbers is the smallest number (non-zero) that is a multiple of all the numbers.

Factoring Greatest Common Factor

Factor method is used to list out all the prime factors, and you can easily find out the LCM and GCF. Factors are usually the numbers that we multiply together to get another number.

Example- Factors of 12 are 1,2,3,4,6 and 12 because 2×6 =12, 4×3 = 12 or 1×12 = 12. After finding out the factors of two numbers, we need to circle all the numbers that appear in both the list.

Greatest Common Factor Examples

Example 1:

Find the greatest common factor of 18 and 24.

Solution:

First list all the factors of the given numbers.

Factors of 18 = 1, 2, 3, 6, 9 and 18

Factors of 24 = 1, 2, 3, 4, 6, 8, 12 and 24

The largest common factor of 18 and 24 is 6.

Thus G.C.F. is 6.

Example 2:

Find the GCF of 8, 18, 28 and 48.

Solution:

Factors are as follows-

Factors of 8 = 1, 2, 4, 8

Factors of 18 = 1, 2, 3, 6, 9, 18

Factors of 28 = 1, 2, 4, 7, 14, 28

Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The largest common factor of 8, 18, 28, 48 is 2. Because the factors 1 and 2 are found all the factors of numbers. Among these two numbers, the number 2 is the largest numbers. Hence, the GCF of these numbers is 2.

If you know it, dont read it

After 6 weeks, the size of the bacteria is 1600, and after 15 weeks, the size of the bacteria is 12800

Let N₀ be the initial number of bacteria in a population and r be the growth rate of the bacteria.

The doubling time t doubles the population after each time interval t, hence:

Nt = N₀ × 2^(t/t) Nₜ

= N₀ × 2^(t/d)Nt/N₀

= 2^(t/d)ln(Nₜ/N₀)

= (t/d)ln2ln(Nₜ) - ln(N₀)

= (t/d)ln2ln(Nₜ/N₀)

= (t/d)ln2t/d

= ln(Nt/N₀) / ln2

Now, we can calculate the time required for the population to double in size as

t = d × ln2/ln(Nₜ/N₀)

Now, let's substitute the values given and solve:

a) After 6 weeks, t = 3 weeks (since doubling time is 3 weeks)

So, Nₜ/N₀ = 2^(t/d)

= 2^(6/3)

= 2^2 = 4

Nt = N₀ × 4

= 100 × 4

= 400.

After 6 weeks, the size of the bacteria is 400.

b) After 15 weeks,

t = d × ln2/ln(Nₜ/N₀)ₜ

= 3 × ln2/ln(128)

= 3 × 0.9983/7.1554

= 0.4186 weeks

So, Nₜ/N₀ = 2^(t/d)

= 2^(15/3)

= 2^5

= 32Nₜ

= N₀ × 32 = 100 × 32

= 3200

After 15 weeks, the size of the bacteria is 3200.

To know more about doubling time, refer here:

https://brainly.com/question/27314121#

#SPJ11

Step-by-step explanation:

2x + 2y  = 28   <=====given

x * y = 40     <===given .....  re-arrange to :

           y = 40 / x    <===substitute this 'y'  into the first equation

2x + 2 ( 40/x) = 28   <=====solve for x

2x^2 -28x + 80 = 0

x^2 -14x +40 = 0

(x -10)(x-4) = 0                        shows x = 10 or 4    then y = 4 or 10

dimensions    10    and 4   inches

Answer:

4 or 10 inches

Step-by-step explanation:

I added a photo of my solution

In option C, we can see that the equation is in vertex form.

What is parabola ?

A parabola is a symmetrical U-shaped curve formed by the graph of a quadratic function. It is a type of conic section that results from the intersection of a cone and a plane that is parallel to one of the sides of the cone. A parabola can also be defined as the set of points in a plane that are equidistant from a fixed point called the focus and a fixed line called the directrix. Parabolas have many applications in physics, engineering, and mathematics, including projectile motion, antenna design, and optimization problems.

According to the question:
The equation that reveals the minimum or maximum value of f(x) without changing the form of the equation is C f(x)=(x-2)²-16.

This equation is in vertex form, which is f(x) = a(x-h)² + k. In this form, the vertex of the parabola is at the point (h, k), and the value of "a" determines whether the parabola opens upwards or downwards.

In option C, we can see that the equation is in vertex form, where the vertex is (2, -16). Therefore, the minimum value of f(x) is -16, which occurs at x=2.

To know more about parabola visit:
https://brainly.com/question/21685473
#SPJ1

6(y - 7z) This is a product with a whole number greater than 1 (6), since we factored out a 6 from the original expression.

A factor is an expression or number that evenly divides another expression or number without leaving a remainder.

To factor the expression 6y - 42z, we need to find the greatest common factor (GCF) of the two terms.

The GCF of 6y and 42z is 6, since both terms are divisible by 6. We can factor out the 6 from both terms, leaving:

6(y - 7z)

Notice that the term inside the parentheses (y - 7z) cannot be factored any further, since there is no common factor other than 1. Therefore, the fully factored form of 6y - 42z is:

6(y - 7z)

This is a product with a whole number greater than 1 (6), since we factored out a 6 from the original expression.

To learn more about factor visit:

https://brainly.com/question/29216619

#SPJ1

Answer:

Step-by-step explanation:

volume of each can

=[tex]\pi[/tex][tex]r^{2}[/tex]h

22/7×[tex]4/2^{2}[/tex]×6

[tex]\frac{88×6}{7}[/tex]

528/7

Answer:

please give question properly

Answer:

Let's assume that the original size of the trial-size bottle of dishwashing soap is "x" ounces.

According to the problem, the new size of the bottle is 10% less than the original size, which means that the new size is 90% of the original size. So we can set up an equation as follows:

0.90x = 4.5

To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.90:

x = 4.5 ÷ 0.90

x = 5

Therefore, the original size of the trial-size bottle of dishwashing soap is 5 ounces.

The probability of selecting two non-defective DVD players from a group of six is 2/5. This is based on the assumption that the selection is done without replacement.

We can use the formula for calculating probabilities of combinations:

P(not defective) = number of ways to choose 2 non-defective DVD players / total number of ways to choose 2 DVD players

Total number of ways to choose 2 DVD players out of 6 is:

C(6,2) = 6! / ([2!] [4!]) = 15

Number of ways to choose 2 non-defective DVD players out of 4 is:

C(4,2) = 4! / ([2!] [2!]) = 6

Therefore, the probability that Cecil chooses 2 non-defective DVD players is:

P(not defective) = 6/15 = 2/5

So the value of P(not defective) is 2/5.

Learn more about probability here: brainly.com/question/30034780

#SPJ4

The measure of the larger acute angle of the triangle can be calculated using trigonometric ratios or by subtracting the measure of the smaller acute angle from 90 degrees. Without further information or given measurements, it is not possible to determine the exact measure of the angle.

Let's consider the general formula for a right triangle where A, B, and C are the angles and a, b, and c are the corresponding sides opposite to each angle:

sin A = a/c, sin B = b/c, and sin C = a/b.

For an acute triangle, we know that the sum of all the angles is equal to 180 degrees, so A + B + C = 180. If the triangle is a right triangle, then one of the angles, say C, is equal to 90 degrees, and A + B = 90 degrees.

In this case, we are only given that the angles of the triangle are acute. Therefore, we can use the formula sin A = a/c, sin B = b/c and sin C = a/b to solve for the angles or use the fact that A + B + C = 180 degrees and A + B = 90 degrees to find the measure of the larger acute angle by subtracting the measure of the smaller acute angle from 90 degrees. However, without specific measurements or additional information, we cannot determine the exact measure of the angle.

for such more question on triangle

https://brainly.com/question/1058720

#SPJ11

Unpacking the expression we have,

[tex](\sqrt{x})(\sqrt[4]{x})[/tex]

Its better to work with this in terms of exponents so we rewrite the expression as [tex]x^{\frac{1}{2}}*x^{\frac{1}{4}}[/tex]. (cause [tex]\sqrt[n]{x}=x^{\frac{1}{n}}[/tex]) This can be a little tricky when learning it for the first time.

Then by the exponent sum rule  [tex]x^{\frac{1}{2}}*x^{\frac{1}{4}}=x^{\frac{1}{2}+\frac{1}{4}}=x^{\frac{3}{4}}[/tex] (more straightforward, you probably know this from class).

I assume this is what you mean by rational exponent form. But you could also write it as [tex]\sqrt[4]{x^3}[/tex].

Answer:

A = 21 units²

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height between parallel sides )

here b = 7 and h = 3 , then

A = 7 × 3 = 21 units²