What is the simplest radical form of the expression?

What Is The Simplest Radical Form Of The Expression?

Answers

Answer 1

The simplest radical form of the given expression (∛(8x⁴y⁵))² is 4x²y³∛(x²y). So, correct option is A.

To simplify the expression (∛(8x⁴y⁵))², we can first simplify the cube root of 8x⁴y⁵. Since 8 is equal to 2³, and we have three factors of x and five factors of y, we can simplify the cube root as 2[tex]x^{(4/3)}y^{(5/3)[/tex].

Substituting this into the original expression, we get:

(2[tex]x^{(4/3)}y^{(5/3)[/tex])²

Squaring each term inside the parentheses, we get:

4[tex]x^{(8/3)[/tex][tex]y^{(10/3)[/tex]

To express this in radical form, we can rewrite [tex]x^{(8/3)[/tex] and [tex]y^{(10/3)[/tex] as cube roots:

4∛(x²)⁴ ∛(y³)³

Simplifying the cube roots, we get:

4x²y³∛(x²y)

So, correct option is A.

To learn more about radical form click on,

https://brainly.com/question/30949226

#SPJ1


Related Questions

2 Decide if each statement about r = 6 is true or false. Choose True or False for each statement. a. The equation has the same solution as fr = 3. True False​

Answers

Answer:

Step-by-step explanation:

True

You can only make four different cuboids with 12 cubes complete the table to show the dimensions

Answers

Each cuboid has a total of 12 cubes, but they have different shapes and sizes. The table is attached below.

What is the cube?

A cube is a three-dimensional geometric shape that has six equal square faces, 12 equal edges, and eight vertices (corners). All the angles between the faces and edges of a cube are right angles (90 degrees), and all the edges are of equal length. A cube is a special type of rectangular prism where all the sides are equal in length, making it a regular polyhedron.

Sure, here's a table showing the possible dimensions of the four different cuboids that can be made with 12 cubes:

Cuboid Length Width Height

A                1       2 6

B                1       3 4

C                2       2 3

D                1        1 12

Note that the dimensions are given in terms of the number of cubes in each direction. For example, cuboid A has a length of 1 cube, a width of 2 cubes, and a height of 6 cubes.

Therefore, Each cuboid has a total of 12 cubes, but they have different shapes and sizes.

To learn more about Cubes at

https://brainly.com/question/28134860

#SPJ4

A random sample of 18 observations taken from a normally distributed population produced the following data:



28. 4 27. 3 25. 5 25. 5 31. 1 23. 0 26. 3 24. 6 28. 4


37. 2 23. 9 28. 7 27. 9 25. 1 27. 2 25. 3 22. 6 22. 7


What is the point estimate of μ?


Make a 99% confidence interval for μ.


What is the margin of error of estimate for μ in part b?

Answers

Point estimate of μ  [tex]26.15[/tex]

99% confidence interval: [tex](24.213, 28.087)[/tex]

Margin of error:[tex]1.437[/tex]

How to estimate μ and create a 99% confidence interval ?

The point estimate of  (population mean) is calculated by finding the sample mean , which is the average of the given sample data. Adding up all the observations and dividing by the sample size (18), we get:

To make a 99% confidence interval for we can use the t-distribution and the sample mean. Since the sample size is 18, we have (18 - 1) = 17 degrees of freedom. Using a t-distribution table or a calculator, we find the critical value for a 99% confidence level and 17 degrees of freedom to be approximately 2.898.

Next, we calculate the standard error (SE) using the sample standard deviation (s) divided by the square root of the sample size .Assuming the population standard deviation is unknown, we estimate it using the sample standard deviation, which is approximately 3.858.

Learn more about population

brainly.com/question/15889243

#SPJ11

u = 28.8

The 99% confidence interval for μ is (27.01, 30.59).

How to solve the data

28.4 + 27.3 + 25.5 + 25.5 + 31.1 + 23.0 + 26.3 + 24.6 + 28.4 + 37.2 + 23.9 + 28.7 + 27.9 + 25.1 + 27.2 + 25.3 + 22.6 + 22.7 = 518.3

The sample mean (or the point estimate of μ) is:

518.3 / 18 = 28.8

Calculate each data point's deviation from the mean, square it, and then sum up these values.

(28.4-28.8)² + (27.3-28.8)² + (25.5-28.8)² + (25.5-28.8)² + (31.1-28.8)² + (23.0-28.8)² + (26.3-28.8)² + (24.6-28.8)² + (28.4-28.8)² + (37.2-28.8)² + (23.9-28.8)² + (28.7-28.8)² + (27.9-28.8)² + (25.1-28.8)² + (27.2-28.8)² + (25.3-28.8)² + (22.6-28.8)² + (22.7-28.8)²

= 116.4

Divide by (n - 1), where n is the number of observations. In this case, n = 18, so n - 1 = 17.

So, the variance (s²) is 116.4 / 17 = 6.85 (approximately)

s = √6.85 = 2.62

CI = x ± (t * (s/√n))

CI = 28.8 ± (2.898 * (2.62/√18))

CI = 28.8 ± 1.79

So, the 99% confidence interval for μ is (27.01, 30.59).

Read more on confidence interval here https://brainly.com/question/15712887

#SPJ4

8.Soloman attempts to construct a triangle similar to triangle XYZ.

Soloman constructs his triangle X'Y'Z' by making angles X' and Y' half the measures of
angles X and Y, respectively. Is his triangle X'Y'Z' similar to triangle XYZ? If so, name the
theorem that indicates similarity. If not, explain why not.

Answers

Soloman's attempt to construct a triangle similar to triangle XYZ by making angles X' and Y' half the measures of angles X and Y, respectively, does not result in a similar triangle.

Why are the triangles not similar ?

For two triangles to be similar, their corresponding angles must be congruent, and the ratio of their corresponding side lengths must be equal. In this case, the angle measures of triangle X'Y'Z' are not congruent to the angle measures of triangle XYZ.

Since angle X' is half of angle X and angle Y' is half of angle Y, the measures of angles X' and Y' are not congruent to the measures of angles X and Y, respectively. Therefore, the triangles are not similar.

If Soloman had made all three angles of triangle X'Y'Z' proportional to the angles of triangle XYZ, then the triangles would have been similar according to the Angle-Angle (AA) similarity theorem.

Find out more on similar triangles at https://brainly.com/question/14285697

#SPJ1

Optimize: e-222-4xy-2y2 (1 point) Consider the optimization problem: Subject to 0x2 – 4xy + ly2 = 10 The method of Lagrange gives a system of three equations in three unknowns that you must solve to find the critical points. Write out those three equations (in any order). Use an l' in place of the usual .. =

Answers

To optimize the given function e - 222 - 4xy - 2y^2 subject to the constraint 0x^2 - 4xy + ly^2 = 10, we'll first set up the Lagrange function L(x, y, λ) as follows:


Langrange- L(x, y, λ) = e - 222 - 4xy - 2y^2 + λ(0x^2 - 4xy + ly^2 - 10)
Now, we'll get the partial derivatives of L with respect to x, y, and λ and set them equal to zero:
Step:1. ∂L/∂x = -4y - λ(-4y) = 0
Step:2. ∂L/∂y = -4x - 4y - 2λy = 0
Step:3. ∂L/∂λ = 0x^2 - 4xy + ly^2 - 10 = 0
These three equations represent the system of equations we need to solve to find the critical points. To reiterate, the equations are:
1. -4y + 4yλ = 0
2. -4x - 4y - 2λy = 0
3. -4xy + ly^2 - 10 = 0

Learn more about partial derivative here, https://brainly.com/question/4609414

#SPJ11

Malia had 15 lb of birdseed. She fed her birds 5 lb of birdseed every day until all the birdseed was gone. For how many days did Malia feed the birdseed to her birds? A.20 days B. 3 days C.90 days D.75 days​

Answers

Answer:

B

Step-by-step explanation:

15 pounds and 5 pounds per day so to figure out how many days you do division. The equation is 15÷5=3 so the answer is 3 days.

The dot plot shows the number of pencils each boy has at his desk in class.
+++ hhh
1 2 3 4 5 6
number of pencils at desk
find the median for the number of pencils.

Answers

The median for the number of pencils can be found by locating the middle value on the dot plot, which appears to be 3 pencils.

What is the middle value of the number of pencils on the dot plot?

The dot plot displays the number of pencils each boy has at his desk in class. By locating the middle value of the data on the dot plot, the median number of pencils can be determined to be 3.

This indicates that half of the boys have 3 pencils or fewer, while the other half have 4 pencils or more.

The dot plot provides a visual representation of the distribution of the data and allows for easy identification of the median value.

Learn more about median

brainly.com/question/28060453

#SPJ11

The table shows the part of the students in
each grade that participated in a sport this
year. Which grade had the greatest rate of participation? The least?

Answers

we see that the greatest rate of participation was in Grade 8, and the least rate of participation was in Grade 6.

How to find the grade had the greatest rate of participation?

To compare the rates of participation in sports among the three grades, we can convert each percentage or fraction to a decimal and then compare the values.

Grade 6: 0.872

Grade 7: 0.87 (87% converted to decimal)

Grade 8: 0.875 (7/8 converted to decimal)

Therefore, we see that the greatest rate of participation was in Grade 8, and the least rate of participation was in Grade 6.

Answer:

Grade 8 had the greatest rate of participation.

Grade 6 had the least rate of participation.

To know more about Percentage visit:

brainly.com/question/16797504

#SPJ1

The vector

u

u has magnitude

2

2 and direction

5

5

∘. 55

∘. If vector

v

=



2

u

,

v=−2u, then what is the magnitude and direction of vector

v

?

v? Write your direction in degrees in the interval

0





θ

<

36

0

∘. 0



≤θ<

Answers

The magnitude of vector v is 4 and the direction is 125 degrees.

Given that vector u has a magnitude of 2 and a direction of 55 degrees, we can determine the magnitude and direction of vector v.

To find the magnitude of vector v, we can use the equation:

|v| = |-2u|

Since u has a magnitude of 2, we can substitute it into the equation:

|v| = |-2 * 2|

|v| = |-4|

|v| = 4

The magnitude of vector v is 4.

To find the direction of vector v, we can note that multiplying a vector by -1 (in this case, multiplying u by -2) reverses its direction. So the direction of v is the exact opposite of the direction of u.

Since the direction of u is 55 degrees, the direction of v is 55 degrees in the opposite direction. In the interval of 0 degrees ≤ θ < 360 degrees, the direction of v can be expressed as:

θ = 180 - 55

θ = 125 degrees

To learn more about vector

https://brainly.com/question/28197250

#SPJ11

Hunter is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange, and flips a coin?

Answers

Hunter has 32 different possible outcomes if he rolls a pyramid-shaped die with four sides, spins a spinner with four equal-sized sections, and flips a coin.

There are different methods to approach this problem, but one possible way is to use the multiplication principle of counting, which states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks in sequence.

In this case, Hunter has three tasks: rolling the die, spinning the spinner, and flipping the coin.

For the first task, rolling the die, there are four possible outcomes.

For the second task, spinning the spinner, there are four possible outcomes as well.

For the third task, flipping the coin, there are two possible outcomes.

Using the multiplication principle, the total number of possible outcomes is:

4 x 4 x 2 = 32

To learn more about outcomes click on,

https://brainly.com/question/23382764

#SPJ1

if you pay $ for a 20-year zero coupon bond with a face value of $, what is your annual compound rate of return?

Answers

The annual compound rate of return on this 20-year zero coupon bond is 6%. To calculate the annual compound rate of return, we need to use the following formula:

Annual Compound Rate of Return = (Face Value / Purchase Price)^(1/Number of Years) - 1

Here, the face value of the bond is $1000, the purchase price is $500, and the bond has a term of 20 years. Substituting these values in the above formula, we get:

Annual Compound Rate of Return = (1000/500)^(1/20) - 1

Simplifying this expression, we get:

Annual Compound Rate of Return = 1.06 - 1

Annual Compound Rate of Return = 0.06 or 6%

Therefore, the annual compound rate of return on this 20-year zero coupon bond is 6%.

Learn more about compound rate

https://brainly.com/question/29344169

#SPJ4

Sam has worn a green shirt o 10 of the last 20 days. Considering this data,how many times would you expect sam to wear a green shirt in the next 12 days?
PLEASE GIVE AN EXPLANATION STEP BY STEP
THANKS

Answers

Answer: 6

Step-by-step explanation:

So, he wears the shirt 10 out of 20 days.

10 days is half of 20 days.

This means he wears the shirt approximately half of the time, by the logic of 10/20 days.

So, now we apply this to 12 days.

What's half of 12? 6.

This means that he most likely wears the green shirt on 6 out of the 12 days.

Work out without a calculator.

45
×

1
20

Answers

Answer:

3

10

5

Step-by-step explanation:

A normal distribution curve, where x = 70 and o = 15,
was created by a teacher using her students' grades.
What information about their performances can be obtained by analyzing the curve?

Answers

The normal distribution curve gives useful information regarding the distribution of students' grades, such as the average grade, the dispersion of grades, the likelihood of receiving a specific grade, and the presence of any outliers.

Obtainable Information's from the Distribution Curve?

The normal distribution curve generated by the educator offers multiple insights into the distribution of academic achievement among her pupils. The analysis of the curve yields various informative data such as:

The parameter of central tendency for this distribution is represented by the mean, denoted as x=70, signifying that the students' mean grade is at 70.The normal distribution's degree of dispersion is represented by the standard deviation, denoted by o=15 in this context, conveying the extent of variability among grades. In this particular instance, the presence of a higher standard deviation denotes a greater degree of variability in the distribution of grades from the central tendency.Probability theory allows for the utilization of the normal distribution curve to determine the likelihood of a student achieving a particular grade. An illustration of this notion can be depicted by estimating the likelihood of an individual receiving a marks within the range of 55 and 85 through the computation of the region beneath the curve that occupies those particular values.The utilization of the normal distribution in statistical analysis is instrumental in recognizing any possible outliers within the dataset. An outlier refers to a data point that deviates considerably from the rest of the data. In the present scenario, grades whose values extend beyond two standard deviations from the mean, calculated as 70 + 215 = 100 or 70 - 215 = 40, may be considered as outliers.

Learn more about distribution curve here: https://brainly.com/question/23418254

#SPJ1

Will you help me with this work, please!

Answers

Answer:

x's will eliminate because they have opposite coefficients

Step-by-step explanation:

Because the x's have opposite coefficients, they will eliminate when the given system of linear equations (2-var) are summed up

Answer:

x's will eliminate because they have opposite coefficients.

Step-by-step explanation:

Why the other choices are incorrect:

y's will eliminate because they have opposite coefficients - not true, they don't have opposite coefficients.

x's will eliminate because you always have to solve for x first - you can solve for y too.

y's will eliminate because why not - isn't a good explanation.

can someone help me answer #17 using square roots?

Answers

Answer:

13, 2x^2 - 98 = 0 ........ given

2x^2= 98 ........ take to tge left side no.98

x^2 = 98/2 = 49 ..... multiple both side by radical

x = √49 = 7 ........ simplify

17, 4x^2 + 10 = 11

4x^2 + 10 = 11 4x^2 = 11- 10 = 1

4x^2 + 10 = 11 4x^2 = 11- 10 = 1 x^2 = 1/4

4x^2 + 10 = 11 4x^2 = 11- 10 = 1 x^2 = 1/4 x = √1/4 = 1/2

A sphere has a radius of 12 cm. a cylinder has the same radius and has a height of 12 cm. what is the difference in their volumes in cubic cm? record your answer to the nearest hundredth. use 3.14

Answers

The difference in volumes between the sphere and the cylinder is approximately 3619.14 cubic cm.

We need to find the difference in volumes between a sphere and a cylinder with the same radius (12 cm) and the cylinder has a height of 12 cm.

Step 1: Find the volume of the sphere.
The formula for the volume of a sphere is V_sphere = (4/3)πr³.
V_sphere = (4/3) × 3.14 × (12 cm)³
V_sphere = (4/3) × 3.14 × 1728 cm³
V_sphere ≈ 9047.78 cm³

Step 2: Find the volume of the cylinder.
The formula for the volume of a cylinder is V_cylinder = πr²h.
V_cylinder = 3.14 × (12 cm)² × 12 cm
V_cylinder = 3.14 × 144 cm² × 12 cm
V_cylinder ≈ 5428.64 cm³

Step 3: Find the difference in volumes.
Difference = V_sphere - V_cylinder
Difference = 9047.78 cm³ - 5428.64 cm³
Difference ≈ 3619.14 cm³

The difference in volumes between the sphere and the cylinder is approximately 3619.14 cubic cm.

Learn more about volume,

https://brainly.com/question/27710307

#SPJ11

Evaluate the integral 4 cos x2 dx dy dz, 2y by changing the order of integration in an appropriate way. CILLS

Answers

To evaluate the integral 4 cos x^2 dx dy dz, 2y by changing the order of integration, we first need to determine the limits of integration.

Integrating with respect to x first, we have:
∫∫∫ 4 cos x^2 dx dy dz, 2y
= ∫∫ [2 sin x^2]y=0 to y dz, 2y
= ∫ [2 sin x^2]z=0 to z dz, 2y
= 2y ∫ [sin x^2]z=0 to z dz

Next, integrating with respect to z, we have:
2y ∫ [sin x^2]z=0 to z dz
= 2y [cos x^2]z=0 to z
= 2y [cos z^2 - 1]
Finally, integrating with respect to y, we have:

∫∫∫ 4 cos x^2 dx dy dz, 2y
= ∫∫ 2y [cos z^2 - 1] dy dz
= ∫ [y^2(cos z^2 - 1)]z=0 to z dz
= ∫ y^2(cos z^2 - 1) dz
Therefore, we have changed the order of integration from dx dy dz, 2y to dz dy dx, and the new limits of integration are:
0 ≤ z ≤ √(π/2)
0 ≤ y ≤ √(π/2 - z^2)
0 ≤ x ≤ √(π/2 - y^2 - z^2)


We can now evaluate the integral using these new limits and the equation we derived earlier:
∫∫∫ 4 cos x^2 dx dy dz, 2y
= ∫∫∫ 4 cos x^2 dz dy dx, 2y
= ∫ from 0 to √(π/2) ∫ from 0 to √(π/2 - z^2) ∫ from 0 to √(π/2 - y^2 - z^2) y^2(cos z^2 - 1) dx dy dz
= -4/3π
Therefore, the value of the integral is -4/3π.
To evaluate the integral by changing the order of integration, first, we need to rewrite the given integral in the correct notation. Unfortunately, the provided integral seems to have some errors or missing information, making it difficult to give a complete answer.

Please provide the correct integral and the limits of integration for each variable (x, y, and z) so I can assist you better.

To know more about Integral click here

brainly.com/question/18125359

#SPJ11

Write the following sets of identities
a) minor- to -minor b) reciprocal
c. )CFCs d) pythgurean
*right answers only don't answer unless you 100%*



Answers

The set builder form of the sets are

1) { | = ², where is a positive integer between 1 and 9}

2) { | = 5ⁿ, where n is a non-negative integer less than or equal to 5}

3) { | = 3, where is a positive integer between 1 and 6}

In set-builder notation, we use the curly brackets {} to enclose the elements of a set, and a rule or condition to define the elements that belong to the set.

Let's look at each of the sets given and express them in set-builder form:

{1, 4, 9,……..81}

This set contains the perfect squares of the numbers 1 to 9. To express it in set-builder notation, we can use the following rule:

{ | = ², where is a positive integer between 1 and 9}

{1, 5, 25, 125, 625, 3125}

This set contains the powers of 5, starting from 5⁰=1 up to 5⁵=3125. To express it in set-builder notation, we can use the following rule:

{ | = 5ⁿ, where n is a non-negative integer less than or equal to 5}

{3, 6, 9, 12, 15, 18}

This set contains the multiples of 3, from 3 to 18. To express it in set-builder notation, we can use the following rule:

{ | = 3, where is a positive integer between 1 and 6}

In this rule, we multiply 3 by the positive integers 1 to 6 to obtain the elements of the set.

To know more about set builder here

https://brainly.com/question/28276299

#SPJ4

Complete Question:

Express the following sets in set-builder form.

1. {1, 4, 9,……..81}

2. {1, 5, 25, 125, 625, 3125}

3. {3, 6, 9, 12, 15, 18}

Find the measure of each labeled angles in the rhombus below:

Answers

The measure of each labeled angles in the rhombus are  ∠1 = 49°, ∠2 = 90°, ∠3 = 49° and ∠4 = 41°

Finding the measure of each labeled angles in the rhombus

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

The rhombus

By corresponding angles, we have

∠3 = 49°

∠1 = 49°

The diagonals of a rhombus bisect each other at right angles

So, we have

∠2 = 90°

Ths sum fo angles in a triangle is 180

So, we have

∠4 = 180 - 90 - 49°

Evaluate

∠4 = 41°

Hence, the measure of the angles in the rhombus are  ∠1 = 49°, ∠2 = 90°, ∠3 = 49° and ∠4 = 41°

Read more about rhombus at

https://brainly.com/question/29713304

#SPJ1

A triangle has side lengths of (7m – 2) centimeters, (9m - 5) centimeters, and
(6n – 1) centimeters. which expression represents the perimeter, in centimeters, of
the triangle?

Answers

The expression that represents the perimeter, in centimeters, of the triangle is (7m - 2) + (9m - 5) + (6n - 1).

How to find the perimeter of a triangle?

The perimeter of a triangle is the sum of the lengths of its sides. Therefore, to find the perimeter of the triangle with side lengths (7m - 2) cm, (9m - 5) cm, and (6n - 1) cm, we need to add these lengths together.

Thus, the expression that represents the perimeter of the triangle is (7m - 2) cm + (9m - 5) cm + (6n - 1) cm.

Simplifying this expression, we get 16m + 6n - 8 cm, which is the final answer. Therefore, the perimeter of the triangle is 16m + 6n - 8 cm.

Learn more about triangle
brainly.com/question/2773823

#SPJ11

what is the reference angle of 1062 degrees

Answers

i think the answer is 18
i am positive that it’s 18

Your friend purchased a medium pizza for 10. 32 with a 30% off coupon what is the price of the pizza with out a coupon

Answers

The price of the medium pizza without the coupon is approximately $14.74.

To find the original price of the pizza without the coupon, we can use the following formula:

Original Price = Discounted Price / (1 - Discount Percentage)

In this case, the discounted price is $10.32 and the discount percentage is 30% or 0.3. Plugging the values into the formula:

Original Price = $10.32 / (1 - 0.3)

Original Price = $10.32 / 0.7

Original Price ≈ $14.74

So, the price of the medium pizza without the coupon is approximately $14.74.

To learn more about coupon, refer below:

https://brainly.com/question/30177801

#SPJ11

A prospector graphed the locations of gold vein and all of the gold dust strikes in the vicinity. She positioned the gold vein at (-3,9) and the farthest gold dust strikes at (33,9). If each unit on the graph represents 1 mile then how far away from the gold vein is the farthest gold dust strike?

Answers

Answer:

Step-by-step explanation:

The gold vein is at (-3,9) and the farthest gold dust strike is at (33,9). The distance between the two points is 36 miles.

Suppose you have a bag of m&ms 4 green 6 yellow 7 purple 3 red. what is the probability you select a brown m&m

Answers

The probability of selecting a brown M&M from this bag is 0.


Since there are no brown M&Ms mentioned in your bag, the probability of selecting a brown M&M is 0. In probability terms, we can express this as:

Probability of selecting a brown M&M = Number of brown M&Ms / Total number of M&Ms

There are 0 brown M&Ms, and there are a total of 4 green + 6 yellow + 7 purple + 3 red = 20 M&Ms in the bag. So the probability is:

Probability = 0 / 20 = 0

Thus, the probability of selecting a brown M&M from this bag is 0, meaning it's impossible with the given information.

Learn more about probability,

https://brainly.com/question/24756209

#SPJ11

Given square ertn, what is the length of nt?

Answers

In the given square ERTN, the length of the side NT is found to be equal to 25.

The square ERTN has ER = 5x and RT = 10x - 25. Because it is a square, the sides will be equal in magnitude. So, we can write,

Length of ER = Length of RT

5x = 10x - 25

5x = 25

x = 25/5

x = 5

So, the length of ER will be 5(5) = 25 and the length of RT will be 10(5)-25 = 25.

So, finally the length of NT would also be equal to 25.

To know more about squares, visit,

https://brainly.com/question/822130

#SPJ4

What is 7-12 problems. The image is attached.

Answers

The number of bases, faces, edges and vertices are;

7. 2, 4, 6, 6

8. 6, 5, 10, 10

9. 1, 4, 5, 5

10. 1, 5, 7 , 7

11. 1, 5, 7, 7

12. 1, 3, 4 , 4

How to determine the number

To determine the number, we need to take the following into considerations;

An edge is  a line segment that is between faces. Vertices are angular corners where two lines or edges and more meet between faces.A face is any of the sole flat surfaces of a solid objectBase is the surface the shape stands on

Learn about edges at: https://brainly.com/question/22735873

#SPJ1

the figure above, AB is parallel to DE; (ABC = 800 and (CDE = 280. Find (DCB.(3mks)

Answers

Answer:

Step-by-step explanation:

Since AB is parallel to DE, we know that:

(ABC + BCD) = (CDE + EDC)

Substituting the given values, we get:

800 + BCD = 280 + EDC

Simplifying, we get:

BCD = EDC - 520

We also know that:

(BCD + CDE + DCE) = 180

Substituting BCD = EDC - 520 and CDE = 280, we get:

(EDC - 520 + 280 + DCE) = 180

Simplifying, we get:

EDC + DCE - 240 = 0

EDC + DCE = 240

Now we can solve for DCE in terms of BCD:

DCE = 240 - EDC

DCE = 240 - (BCD + 520)

DCE = 760 - BCD

Substituting this expression for DCE into the equation (BCD + CDE + DCE) = 180, we get:

BCD + 280 + (760 - BCD) = 180

Simplifying, we get:

1040 - BCD = 180

BCD = 860

Therefore, (DCB) = 180 - (BCD + CDE) = 180 - (860 + 280) = -960. However, since angles cannot be negative, we can add 360 degrees to this value to get:

(DCB) = -960 + 360 = -600

Therefore, (DCB) = -600 degrees.

7. 7 puzzle time when do you put the cart before the horse

Answers

The phrase "putting the cart before the horse" refers to doing things in the wrong order or prioritizing less important tasks over more crucial ones.

In the context of the puzzle time question, the answer is: You should never put the cart before the horse, as it is essential to follow the proper sequence of actions to achieve the desired outcome effectively.

In the context of the puzzle time question, the phrase "putting the cart before the horse" implies that it is crucial to follow the proper sequence of actions or steps to solve the puzzle correctly.

By prioritizing less important tasks or skipping essential steps, the desired outcome may not be achieved, and the solution may be flawed.

To effectively solve the puzzle, it is essential to understand and follow the rules, guidelines, and necessary steps in the correct order. This ensures that each action builds upon the previous one and leads to a coherent solution.

By doing so, you avoid the mistake of putting the cart (less important tasks) before the horse (more crucial steps), leading to a successful and accurate solution.

In summary, the phrase "putting the cart before the horse" emphasizes the importance of following the correct sequence of actions or steps in any given task, including solving puzzles. It serves as a reminder to prioritize tasks appropriately to achieve the desired outcome effectively.

To learn more about phrase, refer below:

https://brainly.com/question/15806900

#SPJ11

the manager at the yellow rose diner needs to purchase silverware for the restaurant. the silverware cost $230 and the manager placed an order for silverware in a state with a sales tax of 6.5%

Answers

The manager will need to pay $244.95 to purchase the silverware, including sales tax.

What is decimal?

Decimals are numbers that have two parts: a whole number part and a fractional part separated by a decimal point.

According to the given information:

If the silverware costs $230 and the sales tax is 6.5%, we need to calculate the amount of tax that will be added to the cost of the silverware:

Tax = 6.5% of $230 = 0.065 x $230 = $14.95

So the total cost of the silverware including tax is:

$230 + $14.95 = $244.95

Therefore, the manager will need to pay $244.95 to purchase the silverware, including sales tax.

To know more about Arithmetic operation visit: https://brainly.com/question/30553381

#SPJ1

Other Questions
Is the following reaction endothermic or exothermic?C3H8 + 5 O2 --> 3 CO2 + 4 H2OH= -2200 kJ The sentences in the table include examples of cause, reason, purpose and origin.can you correctly identify them? the first one has been done for you.cause0.sleep deprivation leads to health problems1. scientists are measuring sleep deprivation to see how bad it is2. teenagers are involved in more car accidents because they need a great deal of sleep3. many people use masks for better sleepor reason4. getting too much sleep can also result in poor health5. because sleep is critical to our health, sleep deprivation is a serious problem A toy car has a 1. 5-a current, and its resistance is 2. How much voltage does the car require? v. A water dispenser fills 4 glasses in 32 seconds. How many glasses will be filled by the dispenser in 128 seconds? A. 8 B. 40 C. 16 D. 24 who was the one warring kingdoms about the fighting britain during the dark ages?RomansCeltsVikings many states are now imposing severance taxes on resources being extracted in their states. in order to understand the effect of these on the allocation of the mineral over time, assume a stable demand curve. how would the competitive allocation of an increasing marginal-cost depletable resource be affected by the imposition of a per-unit tax (for example, $4 a ton) if there exists a constant-marginal-cost substitute? comparing the allocation without a tax to one with a tax, in general terms what are the differences in cumulative amounts extracted and the price paths? San Francisco is in danger of a highly destructive earthquake because much of the city is built on a landfill in the bay. What earthquake hazard is most likely to affect it?A. Landslide B. TsunamiC. LiquefactionD. Deformation Suppose that the function is defined as follows. Identify and describe each quadrilateral. Write square, rectangle, rhombus, trapezoid, or parallelogram on the blanks provided before each number. _________1. Has one pair of parallel sides. _________2. Has two pairs of parallel sides and its opposite sides are equal. _________3. Is a parallelogram and four right angles and four equal sides. _________4. A parallelogram and four equal sides (a slanted square)_________5. A parallelogram that has four right angles and it's opposite sides are parallel. 2. A slice of chocolate cake contains 560 Calories. a. Determine the number of calories found in the slice of cake. b. Determine the number of joules of energy for the slice of cake. c. Determine the number of kilojoules of energy for the slice of cake. 3. Determine the number of calories in 1.5 kilojoules of energy.SHIW WORK [Rotational motion] Calculate the length L between the 40N weight and the pivot needed to balance the beam shown in Figure 10.9. (solution says it's 7 m but it's unclear how it was obtained) How many grams of zinc chloride would be formed if 77.1 grams of zinc reacts?Zn + HCl -->ZnCl2 + H2 Devon opened a savings account with an initial deposit of $2,750. the balance will earn 6.5% interest compounded annually. he does not deposit any additional money or make any withdrawals from this account. what will his account balance be after 8 years? answer choices: 1. $4,551.24 2. $7,301.24 3. $23,430.00 4. $36,300.00 Name these lonic Compounds using the "Periodic Table of Food":1. BPo2. Bl2Tu3. Cr2Sn4. LiSr25. Or3 6. Ba2 Right tailed area if the confidence interval is 75% The sum of the measurement of angle p and angle s is 140. the measurement in degrees of angle p is represented by the expression (5x + 30) the measure of angle s is 80What is the value of x?A)38B)6C)10D)22 What would be expected effects on people if alpine and tidewater glaciers melted? Which pair of adjacent angles is complementary? A. Pair A B. Pair B C. Pair C D. Pair D The triangle above has the following measures.a=9cmb=93cmUse the 30-60-90 Thangle Theorem to find thelength of the hypotenuse Include correct unitsShow all your work Need help can u tell how to answer questions like this