which of the following is an improper fraction 1 DIVIDE 2 or 4 Divide 25 or 25 divide 7 of None of these

Answer:

2/5

Step-by-step explanation:

=(2*7)^6 * (3*5)^5/ (7*5)^6 * (2*3)^5

=(2^6 * 7^6) * ( 3^5 * 5^5) / (7^6 * 5^6) * ( 2^5* 3^5)

=2^5 * 2^1 * 5^5/ 5^5 * 5^1 *2^5

=2/5

The simplified expression of (14^6*15^5)/(35^6*6^5)​ is 2/5

The expression is given as:

(14^6*15^5)/(35^6*6^5)​

Express 14 as 2 * 7, 15 as 3 * 5 and 35 as 5 * 7

[tex]\frac{(2 * 7)^6 * (3 * 5)^5}{(5 * 7)^6 * (2 * 3)^5}[/tex]

Expand the expression

[tex]\frac{2^6 * 7^6 * 3^5 * 5^5}{5^6 * 7^6 * 2^5 * 3^5}[/tex]

Divide the common factors

[tex]\frac{2}{5 }[/tex]

Rewrite as:

2/5

Hence, the simplified expression of (14^6*15^5)/(35^6*6^5)​ is 2/5

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Answer:

x = 18°

Step-by-step explanation:

∠AOB and ∠BOD form linear pair of angles, so they are supplementary, i.e., their sum is 180°.

130° + (2x + 14)° = 180°

=> 130° + 2x° + 14° = 180°

=> 2x° = 180° - 130° - 14°

=> 2x° = 36°

=> x = 36°/2°

=> x = 18°

Answer:

first angle is 20, 2nd is 120, 3rd is 40.

Step-by-step explanation:

with these words, "20 less than a number, Three

times the number, is the number." We can set up the equation x-20+3x+x = 180. combine like terms and we get 5x-20=180. add 20 to both sides to get 5x=200 then divide 200 by 5x to get x = 40. We can then plug 40 into each of the expressions, x-20, 3x, x, to get our angles.

Answer:

= sin x

1

−

cos

x

(

1

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cos

x

1

+

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=

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cos

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−

cos

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-distribute

=

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sin

2

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+

sin

x

cos

x

sin

2

x

-use property  

sin

2

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+

cos

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=

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sin

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=

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cot

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=

Right Hand Side

Step-by-step explanation:

Answer:

$48.

Step-by-step explanation:

60% off

= 120 - 0.60*120

= 120 - 72

= $48.

Answer:

a)

There are 6 planes - 5 faces of the pyramid and one base, which overlaps with the plane X.

b)

Collinear points are the points on the same line:

c)

The intersection of planes X and HGD is the line section HG.

a:-

This is a pentagonal pyramid

B:-

C:-

HG is the intersection line

Answer:

x>0

Answer to your question:

Because the subtraction sign is after the negative, it applies to the term in front of it, in this case because there is a parenthesis, it would multiply into that and your equation from there would be 1-4-3x<-3. Then combine like terms from there.

Density is mass per unit volume,

ρ = m/v

Solving for mass gives

m = ρv

so that a gas with density 0.824 g/L that occupies 3.00 L has a mass of

m = (0.824 g/L) (3.00 L) = 2.47 g

Answer:

[tex]3(x-1)^2 +6[/tex]

Step-by-step explanation:

Write [tex]3x^2-6x+9[/tex] in the form: [tex]x^2 + 2ax + a^2[/tex].

Factor out 3.

[tex]3(x^2 -2x+3)[/tex]

Add and subtract [tex]\left(-1\right)^2\:[/tex].

[tex]3\left(x^2-2x+3+\left(-1\right)^2-\left(-1\right)^2\right)[/tex]

You dont have to write this section down but its for notes:

[tex]x^2+2ax+a^2=\left(x+a\right)^2[/tex]

[tex]x^2-2x+\left(-1\right)^2=\left(x-1\right)^2[/tex]

Continue writing this down to show work:

Complete the square

[tex]3\left(\left(x-1\right)^2+3-\left(-1\right)^2\right)[/tex]

Simplify

[tex]3\left(x-1\right)^2+6[/tex]

Answer:

2πr

Step-by-step explanation:

the Circumference of great circle =

2×π×r or 2πr

Answer:

-7

Step-by-step explanation:

Equation: 2x - 4 = -18

First, add 4 to both sides:

2x = -14

Finally, divide both sides by 2:

x = -7

Check (optional):

2(-7) - 4 = -18

-14 - 4 = -18

-18 = -18 so this is correct

If you're confused about any of these steps, just let me know and I'll try to clear it up for you! :)

Answer:

12 cm squared

Step-by-step explanation:

1. Since diameter is twice the radius and what we know is the area, you would divide the area, 113.1 cm, by Pi (3.14):

113.1 cm / 3.14 = 36.00084813

2. What you get is the radius which you have to square:

36.00084813 squared = 6.000070677

3. Now you double the radius in order to get the diameter:

6.000070677 x 2 = 12.00014135

12.0 cm squared

The polynomial in standard form is as follows;

8x⁵  - 5y⁴ - 2xy⁵ + x²y

A polynomial can have constants, variables and exponents, but never division by a variable. example of a polynomial is as follows:

4xy² + 2y + 5

Polynomial can be named base on the number of terms. For example monomial, binomial and trinomial.

The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.

Therefore, the polynomial in standard form is as follows;

8x⁵  - 5y⁴ - 2xy⁵ + x²y

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Answer: its b

8xy5 -5y4 -2xy5 +x2y

Step-by-step explanation:

I got it right on edge

Answer:

Step-by-step explanation:

h = 20 + 1.7 + 50 = 71.7 m

Answer:

5

Step-by-step explanation:

divide the distance by the rate of speed

5/1=5

Answer:

5 seconds.

Step-by-step explanation:

Answer:

___-5___is 3 units left from -2 on a number line.

___1___- is 3 units right from -2 on a number line

Part (a)

-------------------

Explanation:

Point P is part of 3 planes or faces of this triangular prism:

Notice how each three letter sequence involves "P", though this isn't technically always necessary. I did so to emphasize how point P is involved with these planes.

Each of the three planes mentioned do not involve line FG

So there are no planes that contain line FG and point P.

==================================================

Part (b)

-------------------

Explanation:

It's the same idea as part (a) earlier. The planes involving point G are

None of these planes have line EP going through them.

As an alternative, we could reverse things and focus on all of the planes connected to line EP. Those 2 planes are

None of these planes have point G located in them.

Answer:

i hope it helped U

stay safe stay happy

Answer:

26

Step-by-step explanation:

p²+m

=> 5²+1

=> 25 + 1

=> 26

Answer:

26

Step-by-step explanation:

Substitute the given values into the expression

p² + m

= 5² + 1

= 25 + 1

= 26

Number combination can be used to find the number of selecting n  items from m items

The known parameters are;

Number of days the six friends play a game of tennis = Every day = 7 days

Number of weeks the six friends the friends play for = 7 weeks

Therefore the total number of days = 7 × 7 days = 49 days

Required:

(a) The number of ways the friends can play with each other once is given as follows;

[tex]The \ number \ of \ 2 \ combinations \ in \ 6 \ options, C_6^2 = \dfrac{6!}{2!\times (6-2)!} = 15[/tex]

The number of ways the six friends can play with each other once is 15 ways

Therefore, minimum number of singles games that will be between the same friends playing each other is given as follows;

[tex]\mathbf{Number \ of \ games = \dfrac{7 \times 7}{C_6^2} }=3.2\overline 6[/tex]

Therefore, more than 3 of the games or four games will be between pairs playing the game more than four times together, and when at least four of the games of singles are counted it will be between friends playing each other for the fourth time

(b) The number of ways the friends can play game of doubles is given as follows;

[tex]C_6^4 = \dfrac{6!}{4! \times (6 - 4)!} = 15[/tex]

The number of pairs = ₆C₂ = 15

The number of games of doubles = 49

In 49 games, we have;

The number of times the same opposing  will play a game of doubles where a member of the pair can be on either side of the court will given as follows;

[tex]\mathbf{Number \ of \ games \ of \ doubles \ between \ same \ pair} = \dfrac{7 \times 7}{15 } =3.2\overline 6[/tex]

Therefore, at least four of the of the games of doubles will be between the same set of four friends playing for the 4th time, which gives; at least four games of doubles between the same set of four friends, two of which are playing (as a pair) the same opposing pair for the 4/2 = second time

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Answer:

x = 6, extraneous

Step-by-step explanation:

When you are substituting x = 6 back into the equation, it makes the denominator = 0, so this is an extraneous solution.

Answer:

all real numbers

Step-by-step explanation:

The equation of x has No solution.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

−3x − 3 = −3(x + 1)

Expanding the brackets we get,

−3x − 3 = −3x − 3

Collecting like terms together we get,

−3x +  3x = −3 + 3

Solving we get,

0 = 0

So, this equation has no solution.

Thus, the equation of x has No solution.

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Answer:

Step-by-step explanation:

[tex]\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\[/tex]

[tex]= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}[/tex]

The coordinate of E will be (1, -3) if the coordinates of E if E divides CH three -fourths of the way from C to H

Midpoint of a line is a point that divides a line into two equal parts.

If the line is divided in the ratio a:b, then the midpoint formula will be expressed as:

[tex]M(X,Y) =(\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b})\\[/tex]

Given the coordinate points, C(2, 1) and H(-2, 15) divided in the ratio of 3:4

[tex]X = \frac{3(2)+1(-2)}{3+1}\\X= \frac{6-2}{4}\\X=\frac{4}{4}\\X = 1[/tex]

Get the coordinates Y:

[tex]Y = \frac{3(1)+1(-15)}{3+1}\\Y= \frac{3-15}{7}\\Y=\frac{-12}{4}\\Y= -3[/tex]

This shows that the coordinate of E will be (1, -3)

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Answer:

7

Step-by-step explanation:

bc 11×5=55 so you divide it and its 11-4=7 :)

[tex]\\ \sf\longmapsto \dfrac{3p}{5}+\dfrac{8}{5}=1[/tex]

[tex]\\ \sf\longmapsto \dfrac{3p+8}{5}=1[/tex]

[tex]\\ \sf\longmapsto 3p+8=5[/tex]

[tex]\\ \sf\longmapsto 3p=5-8[/tex]

[tex]\\ \sf\longmapsto 3p=-3[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{-3}{3}[/tex]

[tex]\\ \sf\longmapsto p=-1[/tex]

Answer:

It is being multiplied by 6 each time.

Step-by-step explanation:4x6, 24x6

Answer:

[tex]\frac{x^{\frac{1}{4} } +2}{x^{\frac{1}{4} } -2}[/tex]

rationalise the denomimator:

[tex] = \frac{ {x}^{ \frac{1}{4} } + 2 }{ {x}^{ \frac{1}{4} } - 2} . \frac{( {x}^{ \frac{1}{4} } + 2)}{ ({x}^{ \frac{1}{4} } + 2)} \\ \\ = \frac{ {x}^{ \frac{1}{2} } + 4 {x}^{ \frac{1}{4} } + 4 }{ {x}^{ \frac{1}{2} } - 4} [/tex]