With a.b.c=1 and a+b+c=1
Prove that:

Both the question and options given doesn't seem to be properly formatted. A well formatted form of the question is written in the comment section below.

Answer:

10a^4

Step-by-step explanation:

Given the expression :

7a^4+3a^4

The sum of the expression given above could be taken directly Since the power of each individual value is the same.

7a^4+3a^4

Adding the coefficients

(7+3)a^4

10a^4

Answer:

The answer is 1/8

Answer:

15ways

Step-by-step explanation:

This is a combination question since combination has to do with selection. Hence the number of ways sample of 6 keyboards can be selected so that exactly two have an electrical defect is expressed as;

6C2 = 6!/(6-2)!2!

6C2 = 6!/4!2!

6C2 = 6×5×4!/4!×2

6C2 = 6×5/2

6C2 = 30/2

6C2 = 15

Hence this can be done in 15ways

The question is incomplete, complete version is written in the comment section below :

Answer:

Kindly check explanation

Step-by-step explanation:

1 / 4 (16 + 12x) = 28

Opening the bracket :

1/4 * 16 + 1/4 * 12x = 28

4 + 3x = 28

Subtract 4 from both sides :

4 + 3x - 4 = 28 - 4

3x = 24

Divide both sides by 3

3x / 3 = 24 / 3

x = 8

(3x-2)(3x+ 2)

Multiply each term in one set of parentheses by the other terms:

3x x 3x =9x^2

3x x 2 = 6x

-2 x 3x = -6x

-2 x 2 = -4

Combine to get:

9x^2 + 6x - 6x -4

Combine like terms:

9x^2 - 4

The value of a would be 9.

[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]

[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]

[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]

At first we have to solve the value of (3x-2)(3x+2)

According to the question,

⠀⠀⠀

[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]

Hence,

The value of a is 9

Answer:

12x^3 is equivalent to

12x*12x*12x which if we multiply is

1728x

we divide by 4x

1728x divided by 4x=432x

Hope This Helps!!!

Answer:

3x^2

Step-by-step explanation:

when u divide 12x^3/4x....u divide 12/4=3 along with the x also..tat is x^3/x=x^2

Answer:

Step-by-step explanation:

First you have to know two definitions. Well, you only have to know one for this problem, but you should probably learn the 2nd just to be thorough.

Definition 1: Complementary angles are two angles whose sum is 90 degrees.

Definition 2: Supplementary angles are two angles whose sum is 180 degrees.

For this problem, we'll work with the definition that says two complementary angles have a sum of 90 degrees.

Soooo, here are the facts from your problem: if one angle is 15 degree more than 2 times the other.find the measure of two angles.

Let's let the larger angle equal this: 15 + 2(x) (<--See how it is 15 degrees MORE than 2 times the other?)

Let's let the smaller angle equal: x

SO now our total equation is:

15 + 2(x) + x = 90

3x + 15 = 90 (combined like terms)

3x = 75 (subtracted 15 from both sides)

x = 25 (divided both sides by 3)

Now we know that one angle is 25. The other angle must add to 25 to make 90 degrees, so 90 - 25 = 65.

Therefore, your two angles are 25 and 65 degrees.

Does this check out? Let's see...

First: 25 + 65 = 90 Therefore, this checks out.

Second: The angle that is 65 degrees must be 15 degrees more than twice the other. So, let's take twice the other...... 25 * 2 = 50. And, let's add 15....50 + 15 = 65. Therefore YES, the 2nd angle is 15 more than 2 times the angle that was 25 degrees.

I hope this is helpful. :-)

Answer:

Step-by-step explanation:

If the triangles given in the picture are similar,

ΔVUT ~ ΔVLM

By the property of similarity of two triangles, their corresponding sides will be proportional.

[tex]\frac{TV}{VM}= \frac{VL}{VU}[/tex]

[tex]\frac{49}{14}=\frac{28}{8}[/tex]

[tex]\frac{7}{2}=\frac{7}{2}[/tex]

True.

Therefore, ΔVUT and ΔVLM will be similar.

Answer:

13⅗ is the answer of your quest

Answer:

y= -2/3x+6

Step-by-step explanation:

Using slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -2/3x +b

Substitute the point into the equation

8 = -2/3(-3) +b

8 = 2+b

8-2 =b

6=b

y= -2/3x+6

Answer: [tex]x\in (0,1)\cup (4,\infty)[/tex]

Step-by-step explanation:

Given

In equality is [tex]x^3+4x>5x^2[/tex]

Taking terms one side

[tex]\Rightarrow x^3-5x^2+4x>0\\\Rightarrow x(x^2-5x+4)>0\\\Rightarrow x(x^2-4x-x+4)>0\\\Rightarrow x(x-4)(x-1)>0\\\Rightarrow (x-0)(x-1)(x-4)>0[/tex]

Using wavy curve method

[tex]x\in (0,1)\cup (4,\infty)[/tex]

Answer:

a

Step-by-step explanation:

Answer:

is opposite line BC. Answer is letter E.

Answer:

-x^4, and (2√x)/x

Step-by-step explanation:

4. [tex]- \sqrt{ x^{8} } = - \sqrt{x^{4} *x^{4} } = -x^{4}[/tex]

x^8 = x*x*x*x*x*x*x*x = (x*x*x*x)(x*x*x*x) = (x^4)(x^4)

5.

[tex]\sqrt{\frac{4}{x} } = \frac{\sqrt{4} }{\sqrt{x} } = \frac{2}{\sqrt{x} } \\\\\\\frac{2}{\sqrt{x} } * \frac{\sqrt{x} }{\sqrt{x} } = \frac{2\sqrt{x} }{x}[/tex]

Step-by-step explanation:

I am sorry question samajh Nahin a Raha question dijiye

Answer:

Hence the correct option is option b) Yes, the upper level of one standard deviation is 72.

A score of 74 is not within one standard deviation of the mean.

Step-by-step explanation:

Here the given details are,

Mean = 68  

SD = 4  

Distribution is normal.  

Z-score for x = 74 is given as below:  

[tex]Z = (X - mean)/SD\\Z = (74 - 68)/4\\Z = 1.5[/tex]  

So, the score of 74 is 1.5 standard deviations from the mean.  

[tex]Mean + 1\timesSD = 68 + 1\times4 = 72Mean - 1\timesSD = 68 - 1\times4 = 64[/tex]  

Therefore the score is not lies between 64 and 72.  

Yes, the upper level of one standard deviation is 72.  

Answer:

4r + 4(r + 3) = 68

r = 7 miles per hour

r + 3 = 10 miles per hour

Step-by-step explanation:

distance = rate * time

a)

4r + 4(r + 3) = 68

Distribute

4r + 4r + 12 = 68

8r + 12 = 68

8r = 56

r = 7 miles per hour

r + 3 = 10 miles per hour

Answer:

0.1587

Step-by-step explanation:

Applying,

P(μ>40) = P(μ-(x-μ)/σ)............. Equation 1

Where P(μ>40) =  probability of the age of the random subscriber more than 40 years   μ = mean, σ = standard deviation, x = random subscriber

From the question,

Given: μ = 35 years, σ = 5 years, x = 40 years.

Therefore,

P(μ>40) = P(35-(40-35)/5) = P(35-(5/5)

P(μ>40) = 1-φ(1)

From the norminal probabilty table,

P(μ>40) = 1-0.8413

P(μ>40) = 0.1587

This is the answer.

Hope it helps!!

Answer:

[tex]120.\sqrt{2}.\sqrt[3]{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{32} = \sqrt{16.2} =\sqrt{4^{2}.2} = 4\sqrt{2}[/tex]

[tex]\sqrt[3]{81} =\sqrt[3]{27.3} =\sqrt[3]{3^{3}.3 }=3\sqrt[3]{3}[/tex]

∴[tex]5\sqrt{32}.2\sqrt[3]{81} =5. [4\sqrt{2}].2.[3\sqrt[3]{3} ][/tex]

                   [tex]=120.\sqrt{2}.\sqrt[3]{3}[/tex]

Answer:

-3,-1

Step-by-step explanation:

x²+4x+3=0

x²+4x=-3

x²+4x+(2)²=-3+(2)²

(x+2)²=-3+4

(x+2)²=1

Take square root of both sides

x+2=±1

x=-2±1

x=-1 or-3

Answer:

$3.60

Step-by-step explanation:

100% = 180

1% = 180/100 = $1.80

2% = 1%×2 = 1.8×2 = $3.60

Answer:

25%

Step-by-step explanation:

Based on the boxplot given ;

The boxplot can be summarized as follows :

Lower quartile, Q1 = 50 (starting point of the box)

Median (Q2), 50th percentile = 70 (vertical line in between the box)

The upper quartile marks the 75th percentile, Q3 = 81 (end point of the box)

The total distribution is 100% and hence, the percentage above the score 81 will be :

100% - 75% = 25%

Answer:

i'm pretty sure 41  is not an expression

Step-by-step explanation:

Answer:

I think it would be 450 mm.

Answer:

hey hi mate

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Answer:

[tex]200oz[/tex]

Step-by-step explanation:

The question says that there are [tex]50[/tex] portions that are [tex]4oz[/tex] each.

Write an equation

[tex](50)4oz[/tex]

Simplify

[tex]200oz[/tex]

Answer:

Old number = 150

Step-by-step explanation:

Given information;

Percentage decreased = 22%

New number obtain = 117

Find:

Old number

Computation:

Old number = New number obtain[100 / (100 - 22)]

Old number = 117[100 / (100 - 22)]

Old number = 117[100 / (78)]

Old number = 11,700 / 78

Old number = 150