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Answer:

[tex]m^{\frac{1}{2} }[/tex] . [tex]n^{\frac{1}{2} }[/tex]

Step-by-step explanation:

Using the rules of exponents/ radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

[tex]\sqrt{a}[/tex] = [tex]a^{\frac{1}{2} }[/tex]

Given

[tex]\sqrt{mn}[/tex]

= [tex]\sqrt{m}[/tex] × [tex]\sqrt{n}[/tex]

= [tex]m^{\frac{1}{2} }[/tex] . [tex]n^{\frac{1}{2} }[/tex]

Answer:

[tex] {(mn)}^{ \frac{1}{2} } \\ {m}^{ \frac{1}{2} } {n}^{ \frac{1}{2} } [/tex]

Answer: 28

Step-by-step explanation: 5(4)-4(-2) which is 20+8 and that is 28.

Answer:

100 is answer for math picture

Answer: 80

Step-by-step explanation:

180-100 = 80, y=80

Answer:

x = 1, -5.56

Step-by-step explanation:

x^2 = -7x - 8

shift -7x and -8 to the other side . Remember when u shift minus changes into plus.

x^2 + 7x + 8 = 0

using quadratic equation formula

in quadratic equation one value comes positive and other comes in negative

a = 1  , b = 7 and c = 8

taking positive sign

x = (-b + [tex]\sqrt{b^2 - 4*a*c}[/tex]) /2*a

x = (-7 + [tex]\sqrt{7^2 - 4*1*8}[/tex] ) /2*1

x = (-7 + [tex]\sqrt{49 + 32}[/tex] ) /2

x = (-7 + [tex]\sqrt{81}[/tex] )/ 2

x = -7 + 9 / 2

x = 2/2

x = 1

taking negative sign

(-b - [tex]\sqrt{b^2 - 4*a*c}[/tex] ) /2*a

x = (-7 - [tex]\sqrt{7^2 - 4*1*8}[/tex] ) /2*1

x = (-7 - [tex]\sqrt{49 - 32}[/tex] ) /2

x = -7 - [tex]\sqrt{17}[/tex] / 2

x = -7 - 4.12 / 2

x = -11.12/2

x = -5.56

therefore x = 1 , - 5.56

Answer:

[tex]x = \frac{- 7 + \sqrt{17}}{2} \ , \ x = \frac{-7 - \sqrt{17}}{2}[/tex]

Step-by-step explanation:

[tex]x^2 = - 7x - 8\\\\x^2 + 7x + 8 = 0 \\\\[/tex]

[tex]x = \frac{- b \pm \sqrt{b^2 - 4ac}}{2a}\\\\[/tex]               [tex][ \ a = 1 , \ b = 7 , \ c = 8 \ ][/tex]

[tex]x = \frac{-7 \pm \sqrt{49 - (4\times 8)}}{2} \\\\x = \frac{-7 \pm \sqrt{17}}{2} \\\\x = \frac{-7 + \sqrt{17}}{2} , \ , \frac{-7 - \sqrt{17}}{2}[/tex]

Answer:

B

Step-by-step explanation:

step

Answer:

[tex]x=9.91[/tex]

Step-by-step explanation:

[tex]11x-3=106[/tex]

      [tex]+3[/tex]       [tex]+3[/tex]

[tex]11x=109[/tex]

[tex]/11[/tex]       [tex]/11[/tex]

[tex]x=9.91[/tex]

Answer:my=8x

To find the inverse, flip the x and y variables and then solve for y.

x=8y

x/8=8y/8

x/8=y

Final answer: f^-1(x)=x/8

Answer:

the answer is 28.8 billion plastic bottles

Answer:

28.8 million

Step-by-step explanation:

24 hrs in one day - 1.2 M*24=28.8 M

The domain is the span of the x-values, and the range is the span of the y-values. In each, we are looking for the smallest and largest values.

Domain: x starts at -7, and goes to infinity (we cannot see an end)

(-7, infinity)

Range: y starts at negative infinity (we cannot see where it would start), and goes to 3

(negative infinity, 3)

Hope this helps!

Answer:

the domain starts at -7 ... only one answer has the domain starting at -7

domain(-7, infinity)

Step-by-step explanation:

the domain starts at -7 ... only one answer has the domain starting at -7

Answer:

200π cm²

Step-by-step explanation:

Applying,

TSA = πrl+πr²

TSA = π(r²+rl)............. Equation 1

Where TSA = Total surface area, r = radius of the base, l = slight height of the cone

To get l we apply pythagoras theorem

From the diagram,

l² = 15²+8²

l² = 225+64

l² = 289

l = √289

l = 17 cm

Given: r = 8 cm

Substitute these values into equation 1

TSA = π(8²+17×8)

TSA = π(64+136)

TSA = π(200)

TSA = 200π cm²

Given:

The expression is:

[tex]8x^4-2x[/tex]

To find:

The coefficient and the exponent for each term of the given expression.

Solution:

Coefficients: In the product of s number and a variable, the number is coefficient of the variable.

Exponent: The number in the power is called exponent.

We have,

[tex]8x^4-2x[/tex]

Here, the terms are [tex]8x^4,-2x[/tex].

For the term [tex]8x^4[/tex], the coefficient is 8 and the exponent is 4.

For the term [tex]-2x[/tex], the coefficient is -2 and the exponent is 1.

Therefore, the coefficients are 8 and -2, and the exponent are 4 and 1.

Answer:

Each term is 4 less than the previous term.

Step-by-step explanation:

If this helps you mark as brainlist!

Answer:

B and D are your answers for that whole page

Step-by-step explanation:

Identify the rule that correctly describes each sequence.

12, 8, 4, 0, –4, …

Each term is 4 more than the previous term.

This Is the right one: Each term is 4 less than the previous term.

Each term is 1/2 the previous term.

Each term is 2/3 the previous term.

6, 12, 24, 48, 96, …

Each term is 6 more than the previous term.

Each term is 12 more than the previous term.

Each term is 1/2 the previous term.

This is the right one: Each term is 2 times the previous term.

Answer:

OK , so I'll follow all your instructions:

x² + 12x - x + 24 = 0

x² + 11x + 24 = 0.......product = 24, sum= 11 & factors = 3 & 8

(x² + 3x ) (+ 8x + 24) =0

x ( x + 3) + 8 ( x + 3)=0

( x + 3 ) ( x + 8)=0

x +3 = 0 or x + 8= 0

x = -3. or x = -8

∠HGF ∠EGF

Hope this helps! :)

Answer:

The factor is polynomial

Step-by-step explanation:

trust me broski

Answer:

40 outfits possible

Step-by-step explanation:

4 shirts * 3 pairs of pants * 2 paird of shoes * 2 jackets = 40 outfits possible

Answer:

A

Step-by-step explanation:

The formula is 5*x=4*10. Then simplify to 5*x=40. Divide both sides by 5. x=8

Answer:

reading books (458), science books (957), mathematics books (1054)

Step-by-step explanation:

458 is less than 957 and 1054, while 957 is less than 1054 but more than 458, and 1054 is more than 957 and 458.

458<957<1054

Answer:

24 brushes

Step-by-step explanation:

Given data

cost per brush= $19.90

Amount made =$477.60

hence the number of brushes sold is given as

Number of brushes= 477.60/19.90

Number of brushes= 477.60/19.90

Number of brushes= 24 brushes

[tex]\longrightarrow{\green{x\:=\:5}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

➝[tex]\: \frac{3x}{5} = \frac{x + 1}{2} [/tex]

➝[tex]\:2 \times 3x = 5(x + 1)[/tex]

➝[tex]\:6x = 5x + 5[/tex]

➝[tex]\:6x - 5x = 5[/tex]

➝[tex]\:x = 5[/tex]

✒[tex] \:\frac{3 \times 5}{5} = \frac{5 + 1}{2} [/tex]

✒[tex]\: \frac{15}{5} = \frac{6}{2} [/tex]

✒[tex]\:3 = 3[/tex]

✒[tex]\:L. H. S. =R. H. S. [/tex]

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35☂}}}}⋆[/tex]

the diagram isn't available.Please fix that

Answer:

In 5 years I will have $ 1,151.71.

Step-by-step explanation:

To determine, if I put 700 into a savings account that's earns 1% interest compound monthly, how much will I have in 5 years, the following calculation must be performed:

700 x (1 + 0.01 / 12) ^ 12x5 = X

700 x (1 + 0.008333) ^ 60 = X

700 x 1.64530 = X

1,151.71 = X

Therefore, in 5 years I will have $ 1,151.71.

Answer:

The values of h = -2 and 4

The value of k = -3

Step-by-step explanation:

Putting x=5 in the given equation,

x²+(k-1)x-5=0

or, 5²+(k-1)*5-5=0

or, 25+5k-5-5=0

or, 15+5k=0

or, 5k=-15

or, k=-3

putting the value of k and the other root (h+1) in the given equation,

(h+1)²+(-3-1)(h+1)-5=0

if you solve this, you'll get h = -2 and h = 4.

Answered by GAUTHMATH

Answer:

Step-by-step explanation:

736