Please help me simplify these expressions

Answer:

Step-by-step explanation:

[tex]\sqrt{8xyz^{3}}*\sqrt{10x^{3}y^{2}z} =\sqrt{8xyz^{3}*10x^{3}y^{2}z}\\\\ =\sqrt{2*2*2*2*5*x^{1+3}*y^{1+2}*z^{3+1}} \\\\\\=\sqrt{2^{4}*5*x^{4}*y{3}*z^{4}} \\\\=2^{2}*x^{2}*y*z^{2}\sqrt{5y} \\\\\\=4x^{2}yz^{2}\sqrt{5y}[/tex]

Answer:

zdsczsczscs

Step-by-step explanation:

Answer:

9.5(2) = 19 is the diameter

Step-by-step explanation:

Answer:

19 cm

Step-by-step explanation:

Diameter is twice the radius, thus 2 x 9.5 cm = 19 cm

Answer:

1) -2

2) 8/7

Step-by-step explanation:

1) 10x+8=3(x-2)

  10x+8=3x-6

  10x-3x=-6-8

  7x=-14

  x=-2

2) 10x+8=3x

   10x-3x=8

   7x=8

   x=8/7

Hope it helps

Answer:

add me on snap kingmadness7062

Step-by-step explanation:

Total surface area of all the lakes combined is 24.5×10¹⁰

Total surface area refers to the area including the base(s) and the curved part. It is the total area covered by the surface of the object. If the shape has a curved surface and base, then the total area will be the sum of the two areas.

Given here; The surface area of the lakes and we are required to find The total surface area of all the lakes.

Thus we have TSA= (2.57 + 6.01+5.80+1.91+8.21)×10¹⁰

                               =24.5 ×10¹⁰

Hence, total surface area of all the lakes combined is 24.5×10¹⁰

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Answer:

210

Step-by-step explanation:

There are 7 * 6 * 5 ways to finish. This is because we have 3 slots:

For 1st place, there are 7 people that could take that place, so we have 7

For 2nd place, there are 6 people, because one person already took 1st, so they cant be second as well.

For 3rd place, there are 5 people, because 2 people already took first and second place, and neither of them can be third then.

So we have:

7*6*5 = 210

Answer:

210 ways

Step-by-step explanation:

For 1 st place there are 7 different runners

Now there are only 6 options

For 2nd place there are 6 different runners

Now there are only 5 options

For 3rd place there are 5 different runners

7*6*5

Answer:

7A - 42

Step-by-step explanation:

7(A-6)

Distribute

7*A - 7*6

7A - 42

Answer:

c and d

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the longest side is 6.2 cm, and it is twice the length of the shortest, then we can write an equation as 2x=6.2, where x is the short side length.

Then, since a triangle has 3 sides, the medium side length is 14.5-6.2-x.

Hope that helped,

-sirswagger21

Answer:

Option A

Step-by-step explanation:

We are given the inequality 4x + 6 [tex]\leq[/tex] 18;

[tex]4x + 6 \leq 18,\\4x \leq 12,\\\\x \leq 12 / 4,\\x \leq 3,\\\\Conclusion - Option A[/tex]

As you can tell, the second step was derived through the subtraction of 6 from either side of the inequality sign. 18 - 6 is 12, which resulted in the simplified inequality [tex]4x \leq 12[/tex]. Dividing 4 on either side, we derived [tex]x \leq 3[/tex], which is Option A

Answer:

= -x^2 +x    

Step-by-step explanation:

(x) = 1 - x^2

g(x) = 1-x,

(f-g)(x) = 1-x^2 - ( 1-x)

Distribute the minus sign

          = 1-x^2 -1 +x

  Combine like terms

          = -x^2 +x    

Answer: 700

84 is 12% of What Number:

12% of 700 is 84

100% of 700 is 700, therefore 12 percent of 700 equals 84.

To check this, 12% of 700 IS 84 (Check on Calculator)

Hope this helps!!

Answer:

the mle of P=0.833

Step-by-step explanation:

X=incorrect answer

And probability of success to be denoted as P

Here X posses a binomial distribution along with 'r' and 'p'parameter

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION

Given That:

x - (Rebecca's share + John's share) = 24

x - (x/3 + x/4) = 24

12x/12 - (4x / 12 + 3x / 12) = 24

5x/12 = 24

5x = 24 x 12

5x = 288

x = 57 or 58

Answer:

the smallest r is the 4r and the biggest r is the r^2

VERTEX (-2,-64)

Step-by-step explanation:

Answer:

smaller r = -10

larger r = 6

The ordered pair for the vertex of the parabola is [tex](-2,-64)[/tex]

Step-by-step explanation:

We have the function [tex]f(r)=r^2+4x-60[/tex]

In order to factor this quadratic equation, we need to look for two numbers that will

Add together to get 4

Multiply together to get -60

Lets look for the numbers that multiply to give us -60.

-1 and 60

1 and -60

2 and -30

-2 and 30

3 and -20

-3 and 20

4 and -15

-4 and 15

5 and -12

-5 and 12

6 and -10

-6 and 10

Now, we just need to determine which of these numbers will add together to get us 4.

Those two numbers would be -6 and 10.

This means that our factored form of this equation will be

[tex]f(r)=(r-6)(r+10)[/tex]

From this, we can find our roots, which are the solutions to the equation when it is equal to 0.

[tex](r-6)(r+10)=0\\\\r=-10, r=6[/tex]

These are our r values.

The vertex of a parabola will always be directly between the two roots.

The number that is between -10 and 6 is [tex]r=-2[/tex]

To find the y-value of the coordinate pair, we just need to plug -2 into our function.

[tex]f(-2)=(-2)^2+4(-2)-60\\\\f(-2)=4-8-60\\\\f(-2)=-64[/tex]

This means that the ordered pair for the vertex of the parabola is [tex](-2,-64)[/tex]

Answer:

the set of all the real values which are strictly greater than zero which is all positive real numbers

Step-by-step explanation:

In interval notation: (0, ∞)

Any exponential function with a positive base and positive multiplier will have a horizontal asymptote at y=0 and will extend to +∞. That's what this one does.

Range of a function--

The range of a function is the set of all the values that are attained by a function.

We are asked to find the range of the function f(x)

the set of all the real values which are strictly greater than zero

x > 0

please mark me brainliest :)

Answer:

(A)[tex]128^{x/3}[/tex]

(D)[tex](4(2^{1/3}))^x[/tex]

Step-by-step explanation:

We want to determine which of the expression is equivalent to:

[tex]\sqrt[3]{128}^ x[/tex]

By the law of indices:

[tex]\sqrt[3]{128}=128^{1/3}\\$Therefore:\\\sqrt[3]{128}^ x \\=(128^{1/3})^x\\=128^{x/3}[/tex]

Similarly:

[tex]\sqrt[3]{128}^ x \\=\sqrt[3]{64*2}^ x\\=(4\sqrt[3]{2})^ x\\=(4(2^{1/3}))^x[/tex]

The expressions that are equivalent to (∛128)ˣ are; (128)^(x/3) and (4(2^(1/3))ˣ

We want to find the expression that is equivalent to (∛128)ˣ

From law of indices, we have that;

(∛128)ˣ = [(128)^(1/3)]ˣ

This can be further expressed as;

(128)^(x/3)

Similarly, we have the simplified expression at;

[(128)^(1/3)]ˣ = (64 * 2)^(x/3)

⇒ (4³ * 2)^(x/3)

⇒ (4(2^(1/3))ˣ

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Answer:

-3

Step-by-step explanation:

Because it is multiplied by x

Answer:

C. -3

Step-by-step explanation:

The equation of the line is in point slope form.

y=mx+b

where m is the slope and b is the y-intercept.

The number that is multiplied by x is the slope. The number that is added or subtracted from x is the y-intercept.

We have the equation:

y=-3x+6

-3 is being multiplied by x (-3*x=-3x). 6 is being added on to -3x.

Therefore, the slope is -3 and the y-intercept is 6.

Since -3 is the slope, C is the correct answers.

Answer:

[tex]802[/tex]

Step-by-step explanation:

[tex]18^3=5832[/tex]

[tex]19^3=6859[/tex]

[tex]2018+2019+2020=6057[/tex]

[tex]6859-6057=802[/tex]

Check.

[tex]6057+802=6859[/tex]

[tex]\sqrt[3]{6859} =19[/tex]

Answer:

2019.

Step-by-step explanation:

Let x = 2018, then x + 1 = 2019 and x + 2 = 2020.

x(x + 1)(x + 2)

= x(x^2 + 3x + 2)

= x^3 + 3x^2 + 2x ................(A)  

Now the perfect cube of x + 1 is:

(x + 1)^3 = x^3 + 3x^2 + 3x + 1

If we add x + 1 to (A) we get this expression so the answer is x + 1

= 2019.

Answer:

The value to be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x² is -(x + 11)

Step-by-step explanation:

By long division, we have;

[tex]{\left ({x^{3}-6x^{2}+11x+8} \right )\div 1 - 3x + x^{2}}[/tex] = x - 3

-(x³ - 3·x² + x)

     -3·x² + 10·x + 8

     -(-3·x² + 9·x -3)

                  x + 11

Therefore, -(x + 11) should be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x².

That is  (x³ - 6·x² + 11·x + 8 - x - 11) ÷ (1 - 3·x + x²) = x - 3.

Answer:

Step-by-step explanation:

A perfect square trinomial is the square of a binomial.

One of the special products and factors formulas that you should know is

(a + b)^2 = a^2 + 2ab + b^2; another is (a - b)^2 = a^2 - 2ab + b^2.

So, if you are given a trinomial and can use either of the above identities to rewrite it as the square of a binomial, you've got it.

Answer:

Step-by-step explanation:

So I am hoping this is right....

you would take 3790/579

rounded to the thousandths place would be 6.546 rounded

this would be part to whole

so as part to whole for every 100 people 6.546 shop at the local farmers market

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

[tex]\log _{10}\left(10x-1\right)=\log _{10}\left(9x+7\right)\\\mathrm{Apply\:log\:rule:\:\:If}\:\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\:\mathrm{then}\:f\left(x\right)=g\left(x\right)\\10x-1=9x+7\\\mathrm{Add\:}1\mathrm{\:to\:both\:sides}\\10x-1+1=9x+7+1\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\10x-9x=9x+8-9x\\\mathrm{Simplify}\\x=8\\[/tex]

The solution of the equation ㏒₅(10x - 1) = ㏒₅(9x + 7) is x = 8.

A logarithm is simply the opposite function of the exponentiation.

It is the exponent to which a number or value is raised to get some other number.

That is, if c = aˣ, then we can write it as x =logₐ c.

Given that,

㏒₅(10x - 1) = ㏒₅(9x + 7)

Let the value of both be n.

So, ㏒₅(10x - 1) = n and  ㏒₅(9x + 7) = n

By the definition of logarithms,

10x - 1 = 5ⁿ and 9x + 7 = 5ⁿ

So,

10x - 1 = 9x + 7

10x - 9x = 7 + 1

x = 8

Hence the value of x is 8.

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Answer:

Between 1997 and 2004, Baffin Bay’s polar bear population  

decreased

.

528 is about  

25

percent of 2074.

Step-by-step explanation:

Answer:

decreased

25

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Answer:

Point Q is further from A than point P, therefore, they are not the same point

Step-by-step explanation:

The given information are;

Point P partitions the directed segment from A → B into the ratio of 1:3

Point Q partitions the directed segment from B → A into the ratio of 1:3

We note that the properties of a directed segment are that it has a length and direction with a defined starting or initial point.

Hence the two segments when arranged in the same direction are;

A B and B A

Hence point P is at a the point 1/(1 + 3) or 1/4 of AB or 1/4 times the length of AB from A

Point Q is at a the point  1/4 of B/A or 1/4 times the length of AB from B which is 3/4 times the length of AB from A

Therefore, point Q is further from A than point P which means they are not the same point.

Answer:

No, P is One-fourth the distance from A to B, and Q is One-fourth the distance from B to A.

Step-by-step explanation:

Answer:

2 in by 3 in

Step-by-step explanation:

1 in = 4 ft Divide both sides with 4

0.25 in = 1 ft

0.25 * 8 = 2 in

0.25 * 12 = 3 in  

2 in by 3 in

Answer: 2 in by 3 in

Step-by-step explanation:

1 in = 4 ft Divide both sides with 4 0.25 in = 1 ft 0.25 * 8 = 2 in 0.25 * 12 = 3 in 2 in by 3 in

Answer:

this is false because 5/18 is equivalent to 10/36