Mathematics High School

Multiply and simplify

Answers

Answer 1

Answer:

$75 {x}^{ \frac{3}{2} } {y}^{6} {z}^{ \frac{11}{2} } $

Step-by-step explanation:

First thing is to multiply. We don't need to bother with the root for now.

$ \sqrt{15 {x}^{2} {y}^{11} {z}^{4} } \times \sqrt{5xy {z}^{7} } = \\ \sqrt{75 {x}^{3} {y}^{12} {z}^{11} } $

All I did was multiply the numbers and added the exponents for the variables.

Now all we have to do is divide the exponents in half for the variables, nothing is needed additionally for the 75.

$75 {x}^{ \frac{3}{2} } {y}^{6} {z}^{ \frac{11}{2} }$

There you go, just a few steps and you have your answer.

You can simplify further by moving the answer for the root infront of the square root so it isn't as sloppy. This would make the simplest for to be

5xyz^5 (3xy)^(1/2)

Related Questions

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
14, 84,504,...

Find the 6th term

Answers

Answer:

108,864

Step-by-step explanation:

The difference between each value is x6, so you times the number by 6 to get the next number of the sequence :)

Copy and complete the table below for the graph of
y = 2x + 1.
What values should replace A and B?
X
Y
-1
-1
-
0
A
1
3
23
B
3
7

Answers

Answer:

A is 1

B is 5

Step-by-step explanation:

0 times 2 is 0 plus 1 is 1 that gives the answer to A

2 times 2 is 4 plus 1 is 5 which gives you B

Which pairs of triangles are similar? check all that apply. △abc ~ △def △def ~ △ghi △ghi ~ △abc △ghi ~ △jkl △jkl ~ △abc

Answers

The pairs of triangles that are similar are △jkl ~ △abc and their corresponding angles are congruent.

The fact that, When two triangles are comparable, their corresponding sides have a proportional ratio and their corresponding angles have a congruent relationship.

In this issue

△jkl ~ △abc

Because the proportion between its corresponding sides

Verify

CA/LJ=BC/KL

replace the specified values

14/7=20/10

2=2 >>>>> is correct

The proportion between the corresponding sides is linear.

therefore △jkl ~ △abc are similar.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

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Which pairs of triangles are similar? check all that apply. abc ~ def def ~ ghi ghi ~ abc ghi ~ jkl jkl

Answer: b & e

Step-by-step explanation: cuz

An aircraft encounters a 20 knot crosswind and makes NO heading correction. After 1 hour of flight, how far off course would the aircraft be

Answers

The aircraft will be 20 nautical miles off course after 1 hour of flight.

The distance the aircraft will be off course after 1 hour of flight can be calculated using the formula:

distance off course = (crosswind speed) x (time)

In this case, the crosswind speed is 20 knots and the time is 1 hour. So, the distance off course is:

distance off course = 20 knots x 1 hour = 20 nautical miles

Therefore, the aircraft will be 20 nautical miles off course after 1 hour of flight.

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what is 30% of 25.45?

Answers

Answer:

7.635

Step-by-step explanation:

i hope it helps:)

Answer:

7.635

Step-by-step explanation:

25.45 × 0.3 = 7.635

Does (2, 8) make the equation y= 4x true?

Answers

Answer:

Yes because:

f(2)=(4)(2) = 8

Answer: yes

Step-by-step explanation:

Helpppp pleaseeee pleaseee please❤️

Answers

Answer:

Data A - 5

Data B - 5

Data C - 5

Data D - 6

Step-by-step explanation:

Data A,

Graph for the data shows that there is a distinct value of y (output value) for every input value of x.

Therefore, Data A is a function.

Data B,

Each ordered pair shows exactly one output value for each input value.

Therefore, Data B represents a function.

Data C,

For each input value there is exactly one output value.

Therefore, Data C represents a function.

Data D,

From the given table,

For x = -1 there are two output values y = 27, 39

For x = -2 output values are y = 45, 21

Since for these input values there are two output values, Data D will not be a function.

Why is 2 a prime number?

Answers

2 is a prime number because it has only two factors (1 x 2).

What are prime number?

A natural number greater than one that is not the product of two smaller natural numbers is referred to as a prime number. A composite number is a natural number greater than 1 that is not prime.

Numerical tables, which were typically printed before calculators and computers, were used to record all primes or prime factorizations up to a certain limit. The Sieve of Eratosthenes is the most well-known method for making a list of prime numbers.

Given why 2 is prime,

The natural numbers greater than 1 with exactly two factors, i.e. 1, and the number itself, are known as prime numbers.

so 2 has only two multiple

1 and 2,

Hence 2 is a prime number.

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if f(x)=x-6 and g(x)=x^3, find G(f(x)) a)x^3(x-7) b)x^3-7 c)x^3+x-7 d)(x-7)^3

Answers

Answer:

(x-6)^3

Step-by-step explanation:

$f(x)=x-6 \\\\g(x)=x^3 \\\\g(f(x))=(x-6)^3$

Hope this helps!

1) To the nearest tenth of a foot, what is the distance from the wall to
the base of the ladder?
A) 1.9 feet
B) 2.1 feet
C)45 feet
D) 10.7 feet

2) To the nearest tenth of a foot, what is the height at which the ladder
rests against the wall?
A) 2.1 feet
B) 3.7 feet
C) 45 feet
D) 10.7 feet

Answers

Answer:

1) B

2) 4.5 feet

Step-by-step explanation:

Please see the attached picture for the full solution.

Find the intercepts of the function 2x + 3y = 12.

Answers

y= (-2)(3)x+4

Step-by-step explanation:

Find the value of x.
87, x,105,92,135

Answers

Answer:

121

Step-by-step explanation:

(5-2)180

180-135-105-87-92=121

Work out m and c for the line: 2 y + 3 x = − 5

Answers

Answer:

m is -3/2

c is -5/2

Step-by-step explanation:

The standard linear equation is given by;

${ \tt{y = mx + c}}$

» m is the slope and c is the y-intercept

Then, our slope is;

$ { \tt{2y + 3x = - 5 }} \\ \\ { \tt{2y = - 3x- 5}} \\ \\ { \tt{y = - \frac{3}{2}x - \frac{5}{2} }}$

In the picture of the angle made by the geometer is classified as an

Answers

What picture???? I don’t see one

you are designing the same 3x3 factorial study above but are doing a within-subjects design. you need 10 participants for each cell. how many participants do you need in total?

Answers

When designing a 3x3 factorial study design with a within-subjects design and when 10 participants are assigned for each cell, the number of participants we require in total is 10.

Therefore, the answer is 10.

In a n×m factorial study design, the number of factors is the number of numbers, that is here 2 and the first factor is of n levels and second factor is of m levels.

So in 3x3 factorial study we have two factors each with 3 levels and the number of groups is 3 × 3 = 9.

In a within-subject design, all the participants take part in every group. So if there are 10 participants in a cell, these 10 participants are part of all groups. So we require only 10 participants in total for this study.

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Find the area of the polygon with the coordinates (1, 2), (3, 2), (3, 0), and (1, 0)

Answers

The area of the polygon is 4 square units

How to determine the area of the polygon?

The vertices are given as:

(1, 2), (3, 2), (3, 0), and (1, 0)

The area is then calculated as:

A = 0.5 * |x1y2 - x2y1 +x2y3 - x3y2 + ....... |

So, we have:

A = 0.5 * |1 * 2 - 3 * 2 + 3 * 0 - 2 * 3 + 3 * 0 - 0 * 1 + 1 * 2 - 0 * 1|

Evaluate

A = 0.5 * |-8|

Remove the absolute bracket

A = 0.5 * 8

This gives

A = 4

Hence, the area of the polygon is 4 square units

Answers

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Use the drawing tool(s) to form the correct answers on the provided number line.

Yeast, a key ingredient in bread, thrives within the temperature range of 90°F to 95°FWrite and graph an inequality that represents the temperatures where yeast will NOT thrive.

Answers

The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

Writing an inequality of the temperatures where yeast will NOT thrive.

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

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

Using the above as a guide, we have the following:

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

Answers

The plant is 17/4 inches above the ground

How to calculate the height of the plant above the ground?

Pam plants the seed 5 1/2 inches below the ground

After a period of one month, the tomato plant has increased to 9 3/4 inches

Therefore the height of the tomato plant above the ground can be calculated by subtracting the height of the seed below the ground from the height of the plant after one month.

9 3/4 - 5 1/2

39/4 - 11/2

= 17/4

Hence the plant is 17/4 inches above the ground

Answers

Answer:

Step-by-step explanation:

The ratio of boys to girls at a movie is 3:4 . If there are 16 girls , how many boys are at the movie?

Answers

Answer:

12 boys

Step-by-step explanation:

Set up a proportion: $\frac{3}{4} = \frac{x}{16}$ Cross multiply, then divide: 3 × 16 = 48, 48 ÷ 4 = 12

I hope this helps!

Answer:

Step-by-step explanation:

Compare finding the slope using a table and graph

Answers

The ratio of vertical change to horizontal change is the same between any two points on a line. Use two different points on the line above to show this is true. Use a table to determine the slope of a line. Step 1: Identify the change in each consecutive pair of y-values in the table. I hope this helps in some way

Horizontal and parallel lines e and f are intersected by diagonal and parallel lines g and h. At the intersection of lines g and e, the bottom right angle is angle 2. At the intersection of lines h and e, the bottom right angle is angle 1. At the intersection of lines f and h, the top left angle is angle 3.
Statements Reasons
1. g || h 1. given
2. ∠1 ≅ ∠2 2. corresponding angles theorm
3. ∠2 ≅ ∠3 3. given
4. ∠1 ≅ ∠3 4. transitive property
5. e || f 5. ?
What is the missing reason in the proof?

vertical angles theorem
alternate exterior angles theorem
converse corresponding angles theorem
converse alternate interior angles theorem

Answers

The line e is parallel to f by converse alternate interior angles theorem.

What is converse alternate interior angle theorem?

Converse alternate interior angle theorem states that states if two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.

What is parallel lines?

Two lines are said to be parallel when they do not meet at any point in a plane. Lines which do not have a common intersection point and never cross path with each other are parallel to each other. The symbol for showing parallel lines is ‘||’.

Given,

angle 1 is congruent to angle 2 and g is parallel to h.

similarly, angle 2 is congruent to angle 3,

by transitive property angle 1 is congruent to angle 3.

By converse alternate interior angle theorem, e is parallel to f.

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Mari spends $6 on cheese for a party she also plans to buy b boxes of crackers that cost $3 per box

Answers

Answer:

The answer is 6+3b<or equal to 15

Step-by-step explanation:

What is the measure of M

Answers

Answer:

It's also 52 If I got it wrong I'm so sorry but I'm good at angles

Step-by-step explanation:

PLSSSSSSSS HELP ME WITH THIS CORRECT ANSWER GETS BRAINLIEST

Answers

Answer:

Step-by-step explanation:

whit is 1.000×54.98783 pls

Answers

Answer:54.98783

Step-by-step explanation:

1 times a number is just the number itself.

I need help fast plss

Answers

The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°

Finding the measures of the angles

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

The transversal lines and the other lines

So, we have

∠1 = 180 - 53

Evaluate

∠1 = 127°

Also, we have

∠5 = 53°

By vertical angles, we have

∠2 = 53°

∠3 = 127°

Next, we have

∠4 = 127 - 90°

∠4 = 37°

Solving further, we have

∠6 = 90°

By corresponding angles, we have

∠7 = 37°

∠9 = 180 - 90 - 53°

∠9 = 37°

∠10 = 90 + 53°

∠10 = 143°

∠8 = 143°

Answers

The year in which the NFL voted to create a $430 million fund to help the bottom 15 clubs was 2007.

When did the NFL vote to implement this fund?

The NFL voted by a margin of 30-2 in 2007 to create a pool of funds over 3 years that would amount to $430 million.

This money would then be used to help the bottom 15 clubs who might be struggling financially. The hope was that this would make things more competitive in the NFL.

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What is the classification of the number -10? Click all that apply.
irrational
Rational
Integer
Whole
Natural

Answers

Answer: rational, integer

Step-by-step explanation:

-10 is rational number because it can be expressed as a fraction of integers, such as -20/2. Since it is rational, it cannot be irrational. They are mutually exclusive.

-10 is an integer. The set of Integers, often denoted by capital Z is as follows: Z = { 0, ±1, ±2, ±3, ±4, ... }.

-10 is not a 'Whole' number, as these are the nonnegative integers --> 0, 1, 2, 3, 4, .....

-10 is not a 'Natural' number, as these are the positive integers --> 1, 2, 3, 4, .....

I hope this helps.

Hi, there.

______

What kind of number is -10? It's a negative.

Which sets include negatives?

IntegersRational

Whole & Natural are almost the same set, only whole numbers have something that natural numbers don't - the number 0.

Irrationals are basically numbers that cannot be written as fractions.

-10 can be written as a fraction, like this:

$\boldsymbol{\dfrac{-10}{1}}$

Answer:

$\boldsymbol{-10 \ is \ an \ integer \ and \ a \ rational \ number.}$

Hope the answer - and explanation - made sense,

happy studying!!

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