Please help, select all the perfect squares

Answer: -x^6(3x-1)(9x^2+3x+1)

Step-by-step explanation:

x^6-27x^9=

x^6(1-27x^(9-6))=

x^6(1-27x^3)=

-x^6(27x^3-1)=-x^6(3x-1)(9x^2+3x+1)

The solution to the given fractional equation for the unknown value of x, is 6 4/9

3/4x - 4 = 5/6

3/4x = 5/6 + 4

3/4x = (5+24) / 6

3/4x = 29/6

x = 29/6 ÷ 3/4

= 29/6 × 4/3

= (29 × 4) / (6 × 3)

= 116 / 18

x = 6 8/18

x = 6 4/9

Therefore, the solution to the given fractional equation for the unknown value of x, is 6 4/9

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Answer:

a)30

b) 5 to 2

c)25

Answer:

a = b(10-c)/5

Step-by-step explanation:

5a/b + c = 10

5a/b = 10-c

5a = b(10-c)

a = b(10-c)/5

Answer:

They make 200 pieces of caramel candies a day and 500 pieces of chocolate candies a day.

Step-by-step explanation:

Since the ratio is two to five, make it 2x + 5x = 700.

7x = 700

x=100

So, for caramel candies, 2 x 100 = 200

For chocolate candies, 5 x 100 = 500

lol maybe like 8 or something yeah

Answer: 2(n +5) = 20

Step-by-step explanation:

Answer:

2(n+5)=20

Step-by-step explanation:

n+5 is the sum. Two times of the sum is 2*(n+5) which is 2(n+5). This is set to equal 20.

Answer:

C) 4 3/4

Step-by-step explanation:

19 divided by 4 doesn't divide equally.

4*5=20 X

4*4=16 YEP

19-16=3

So...

19 can be divided 4 whole times and you're left over with 3.

Thus, it's 4 3/4.

Hope this helps.

Applying the definition of a midpoint of a segment, the lengths are:

RT = 74 units

RS = 37 units

The midpoint is defined as the point that bisects a line segment into two equal halves.

If M is the midpoint of RT, therefore:

RS = ST

RS = 6x + 7

ST = 9x - 8

Substitute

6x + 7 = 9x - 8

6x - 9x = -7 - 8

-3x = -15

x = -15/-3

x = 5

RT = RS + ST [segment addition postulate]

RT = 6x + 7 + 9x - 8 [substitution]

RT = 15x - 1

Plug in the value of x

RT = 15(5) - 1

RT = 74 units

RS = 6x + 7 = 6(5) + 7

RS = 37 units.

Thus, applying the definition of a midpoint of a segment, the lengths are:

RT = 74 units

RS = 37 units

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The next three numbers in the sequence are 27, 38, and 51

From the question, we are to determine the next three numbers in the given sequence

The given sequence is

2,3,6,11,18

The difference between the 1st and 2nd terms is 3 -2 = 1

The difference between the 2nd and 3rd terms is 6 -3 = 3

The difference between the 3rd and 4th terms is 11 - 6= 5

The difference between the 4th and 5th terms is 18 - 11= 7

We can observe that the successive odd numbers are being added to the terms

Thus,

The sixth term will be 18 + 9 = 27

The seventh term will be 27 + 11 = 38

The eight term will be 38 + 13 = 51

Hence, the next three numbers in the sequence are 27, 38, and 51

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The equation that can be used to model the total number of yards of fabric, y. needed to make x curtain panels is y = (10 2/4 ÷ 4) × x

It should be noted that Mary used 10 2/3 yards of fabric to make 4 identical curtain panels.

Therefore, the equation that can be used to model the total number of yards of fabric, y. needed to make x curtain panels will be:

y = (10 2/4 ÷ 4) × x

where

y = number of yards

x = number of panels

Therefore, the equation is y = (10 2/4 ÷ 4) × x

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Answer:

A limit on what? And what website

Step-by-step explanation:

0.0001 is a very tiny possibility that you will get caught driving slower than the posted speed limit.

Probability is a branch of mathematics that deals with the numerical representations of the likelihood that an event will occur or that a statement is true. A number between 0 and 1 is the probability of that an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

By simply dividing the actual favorable amount of possibilities by the entire number of possible outcomes, one can use the probability formula to determine the likelihood of an event.

Given,

radar speed detector is 0.56 mph.

inital speed  = 33mph

final speed  = 30mph

finding the probability that we clocked at below the speed limit.

so,

p(Z<(inital- final)/speed detector)

p(Z<(33-30)/0.56)

p(Z<5.35)

where Z = 1

p(1 -  0.9999)

= 0.0001

0.0001 is a very tiny possibility that you will get caught driving slower than the posted speed limit.

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Answer:

it is the second one(that what I learned in school)

Wavelength is 0.00004 cm is the weather like for a violet light a large or small value and how do you know

The frequency of the violet light is [tex]7.495\times10^{14} s^{-1}[/tex].

Given that,

Wavelength λ=0.00004cm

First, we convert cm to nm

0.00004cm =400nm

These are connected by the equation in electromagnetic radiation (light):

c = λυ

where c refers to the speed of light value is 2.998 x [tex]10^{8}[/tex] m/s, λ refers to wavelength (m) and υ refers to frequency ([tex]s^{-1}[/tex]or Hz).

Now, c = λυ

2.998 x [tex]10^{8}[/tex] m/s=400[tex]\times[/tex][tex]10^{-9}[/tex]m[tex]\times\\[/tex]υ

υ=[tex]\frac{2.998\times10^{8} m/s}{400\times10^{-9}m }[/tex]

υ= [tex]7.495\times10^{14} s^{-1}[/tex]

Therefore, The frequency of the violet light is [tex]7.495\times10^{14} s^{-1}[/tex].

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Associative property would be the best to help simplify the given expression.

It's given that  (-2.7 x 5) x 2 and using associative property we can write it as ,  (-2.7 x 5) x 2 = -2.7 x ( 5 x 2 ) = -2.7 × 10 = - 27

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A numerical method that you could use regardless of the number of the teams in the tournament to calculate the number of games in the first round is; (n − 1) + (n − 2) +…+ 1.

The first team will play with the other 7 teams.

Then the second team will play with the 6 other teams, as the game between the first and the second team has already been counted.

Similarly, the third team will play with 5 other teams, and so on. Thus, the

total number of games will be 7 + 6 + 5 + 4 + 3 + 2 + 1 = 28.

Therefore, in the first round there will be 28 games.

If there are 8 teams in the tournament, the number of games in the first round is (8 − 1) + (8 − 2) +…+ 1. Therefore, if there are n teams in the

tournament, the number of games in the first round is given by the sequence; (n − 1) + (n − 2) +…+ 1.

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We get the graph for the given points.

We are given the points:

 X.           Y

- 5           - 4

- 2           - 11

 1            - 18

 4           - 25

We will plot them on the graph.

In geometry, a coordinate system is a system that makes use of one or extra numbers, or coordinates, to uniquely decide the placement of the factors or different geometric factors on a manifold which include Euclidean space.

In mathematics, the graph of a function f is the set of ordered pairs, where f(x)=y.

A plane is the two-dimensional analogue of a point, a line and three-dimensional space.

Therefore, we get the graph for the given points.

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Proved that angle 2 is congruent to angle 4 (∠2 ≅ ∠4).

To proof:

Given:

This proof includes definitions of congruence and supplementary angles, as well as some equality properties.

Therefore, the proving is shown.

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The correct question is given below;
Angle 1 and angle 2 are supplementary. Angle 3 and angle 4 are supplementary. Angle 1 is congruent to angle 3. Prove: Angle 2 is congruent to angle 4.

If two groups of numbers have the same mean, then (D) none of these alternatives is correct.

Therefore, if two groups of numbers have the same mean, then (D) none of these alternatives is correct.

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The correct question is given below:
If two groups of numbers have the same mean, then

a. their standard deviations must also be equal

b. their medians must also be equal

c. their modes must also be equal

d. None of these alternatives is correct.

The cost of x tickets for Star Cinema is; y = 7.5x

From the given table, we see that;

Cost of 4 tickets at Movie Galore = $31

Cost of 4 tickets at star Cinema = $30

Thus, we can find the cost of one ticket for each of the cinema's as;

Cost per ticket for Movie Galore = 31/4 = $7.75

Cost per ticket for Star Cinema = 30/4 = $7.5

Thus, cost of x tickets for Star Cinema is;

y = 7.5x

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Totally rad!

Following are examples of the listlength() methods -

It counts the string characters.

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Model be completed to represent 642/11 is 29.1818181818

[tex]\frac{642}{11}[/tex] = 58.3636363636

58.3636363636 = 583.636363636 to the nearest tenth

58.3636363636 = 58.36 to the nearest hundredth

58.3636363636 = 58.364 to the nearest thousandth

= 0 to the nearest tenth

= 0 to the nearest hundredth

= 0 to the nearest thousandth

Other Divisions Math homework are

642 divide by half plus 20

([tex]\frac{642}{2}[/tex]) + 20 = 341

642 divide by half plus 40

([tex]\frac{642}{2}[/tex]) + 40 = 361

[tex]\frac{642}{11}[/tex] divided by 2

([tex]\frac{642}{11}[/tex]) ÷ 2 = 29.1818181818

Division is  one among  the four basic operations of arithmetic, the  ways in which  numbers are combined to make new numbers.  the opposite  operations are addition, subtraction, and multiplication.

At an elementary level the division of two natural numbers is, among other possible interpretations,  the method  of calculating the number of times one number is contained within another.7  This number of times  needn't  be an integer.  for instance , if 20 apples are divided evenly between 4 people, everyone receives 5 apples (see picture).

The division with remainder or Euclidean division of two natural numbers provides an integer quotient, which  is that the  number of times the second number is completely contained in the first number, and a remainder, which  is that the  part of the first number that remains, when  within the  course of computing the quotient, no further full chunk of  the dimensions  of the second number can be allocated.  for instance , if 21 apples are divided between 4 people, everyone receives 5 apples again, and 1 apple remains.

For division to always yield one number  instead of  a quotient plus a remainder, the natural numbers must be extended to rational numbers or real numbers.

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3/8 is the probability that they will have exactly 2 girls and 2 boys.

What does a probability mean?

Got to have 4 children

Boy and Girl are equally likely

Hence, P( boy) = P( girl) = 1/2

This is like performing binomial distribution.

P( excatly 2 boys and 2 girls)

=4C2(1/2)^2 (1/2)^2

=6/16

=3/8

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Every week, the water level dropped by 1.375 inches on average rate.

The average rate is what?

The ratio of "change in the function values" to "change in the interval endpoints" is referred to as the average rate of change of a function f(x) over an interval [a, b]. Specifically, [f(b) - f(a)] can be used to get the average rate of change (b - a). The average rate of change, represented by the symbol A(x), is, in other words, the "ratio of change in outputs to change in inputs." A(x) = (change in outputs), for example (change in inputs)

based on the available facts;

Detailed explanation:

A lake's water level dropped by -11/2 inches throughout the course of a 12-week dry period.

Total fall of water level = -11/2 inches = -5.5 inches

Time of fall = 12/3 week = 4 weeks

Average rate at which water level changed every week=Total fall of water level/Time of fall

=-5.5/4

=-1.375per inch every week

Average rate at which the water level changed every week = -1.375 inches

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All pairs of congruent angles, and proportion that relates the corresponding sides for each pair of similar polygons are;

∠A ≅ ∠Z, ∠B ≅ ∠Y and ∠C ≅ ∠X

AC/ZX = BC/YX = AB/ZY

From the attached image, we see that Triangle ABC is similar to Triangle ZYX.

Now, the order of vertices in a similarity statement identifies the corresponding angles and sides. Since we know that ΔABC is similar to ΔZYX, we can take the corresponding angles of this statement and set them congruent to each other.

Now, since the corresponding sides of similar triangles are proportional to each other, we can write a proportion that relates the corresponding sides to each other as;

∠A ≅ ∠Z, ∠B ≅ ∠Y and ∠C ≅ ∠X

AC/ZX = BC/YX = AB/ZY

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the 45

Step-by-step explanation:

679

Answer:

54/11 (or) 4 10/11

Step-by-step explanation:

Let's solve the problem,

→ 18 ÷ 3 2/3

→ 18 ÷ (11/3)

→ 18 × (3/11)

→ 54/11 = 4 10/11

Hence, the answer is 54/11.

The range of the given function is {y | -7 -1 0 9}

The table of values is given as:

x -5 1 4 6

y 9 0 -7 -1

List out the y values

So, we have:

y 9 0 -7 -1

The y values represent the range

So, we have

Range = {y | 9 0 -7 -1}

Order from least to greatest

Range = {y | -7 -1 0 9}

Hence, the range of the given function is {y | -7 -1 0 9}

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