The constant is four

[tex]~~\dfrac{2x^{-3} y^{-2}}{4xy^5}\\\\\\=\dfrac 12\cdot x^{-3-1} \cdot y^{-2-5}~~~~~~~~~~~~~~~~~~~~~~;\left[\dfrac{a^m}{a^n} = a^{m-n}\right]\\\\\\=\dfrac 12\cdot x^{-4} \cdot y^{-7}\\\\\\=\dfrac{1}{2x^4 y^7}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[k^{-n} = \dfrac 1{k^n},~ k\neq 0\right][/tex]

Using similarity principle, the height of the tower in feet is 60 feet.

The height of the tower can be calculated using similarity principle.

Using similarity principle the corresponding sides are a ratio of each other.

Therefore,

let

x = height of tower

24 / x = 10 / 25

cross multiply

10x = 24 × 25

10x = 600

divide both sides by 10

x = 600 / 10

x = 60

Therefore, the height of the tower is 60 feet.

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Answer:

Step-by-step explanation:

Solution

The distributive property is one of the handiest tools when factoring. You can't use it all the time, but it makes this problem so much easier. Use the distributive property to factor out the 2 from all three terms.

2(x^2 - 4x - 5)

Notice how much easier the problem got. There are only 2 integers that divide into 5. One of them is 5 and the other is one. So the solution is going to look like this

2(x    5) (x    1)

But what do you put in the space? Your choice is between a plus or a minus. Look to the middle term to find out. It is a minus 4. That means that the 5 must be minus because 5 is bigger than 1.

2(x - 5)(x     1 )

So what about the second bracket? It has to be plus. An odd number of minus signs always gives a minus. We used up the one minus we had so the one must have a plus in front of it.

2(x - 5)(x  +   1 )

Answer:

the correct answer is B

Step-by-step explanation:

A function g is the inverse for the function f if for y-f(x), x-g(y)

y=7x-6

Replace x with y

x=7y-6

Solve for y in x=7y-6

Switch sides

7y-6=x

Add 6 to both sides

7y-6+6=x+6

Simplify

7y=x+6

Divide both sides by the coefficient of y, which is 7. We have:

7y/7 = x/7+6/7

7y & 7 are cancelled out and we're left with: x/7 & 6/7

Now we find the LCM of the denominators which is 7.

7 divide the denominators equal 1, we use the to multiply the numerators, x & 6

our final answer= x+6/7

I hope this helps.

The value of x is 5. The correct option is the second option-  5

From the question, we are to determine the value of x

By the proportionality theorem, we have that

If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.

Considering the diagram, we can write that

[tex]\frac{12}{28 }= \frac{35-4x}{35}[/tex]

Then, we get

12 × 35 = 28(35-4x)

420 = 980 -112x

112x = 980 - 420

112x = 560

x = 560/ 112

x = 5

Hence, the value of x is 5. The correct option is the second option-  5

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Answer:

6.8 miles

Step-by-step explanation:

We can apply the formula :

⇒ Mean distance per diver = Total distance covered / No. of divers

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

Given :

⇒ Number of divers = 28

⇒ Total distance travelled = 190.4 miles

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

Solving :

⇒ Mean distance = 190.4 miles / 28

⇒ Mean distance = 6.8 miles

Answer:

[tex]\sqrt{2}[/tex]

Step-by-step explanation:

We can use pytho theorem to find X because its a right triangle, so:

a^2 + b^2 = c^2

plug our numbers

1^2 + 1^2 = x^2

simplify

1+1 = x^2

2=x^2

answer = root2

Answer:

f(x) = 3x²-7x-2

answer: (7+- √73)/6

g(x) = -2x² +8

answer:

x = +-2

Step-by-step explanation:

picture is attached

quadratic formula

click on the screenshot

Given that ABCD is a parallelogram, the sum of its interior angles is:
360°

A parallelogram is a rectilinear two-dimensional figure with four sides whose opposite sides are parallel. See the image attached.

The sum of the exterior angles of any Triangle or any polygon is 360°. Hence, the sum of the exterior angles of CHFE (a polygon) is 360°.

The sides that are parallel to CE are:

FH

AD and

The side that are perpendicular to CE is side side HH, hence we can state that:

CE ⊥ EH, because both lines intersect each other at right angles.

Because the sum of angles in a triangle is 180° and we already have ∠CEH to be equal to ∠90° hence,

∠C + ∠H? = 180° - 90°

= 90°

The measure of the exterior angles of a regular pentagon is 72°

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Another expression for the given rational function is [tex]x =r^\frac{1}{2}s^\frac{1}{2}[/tex]

Given the rational function expressed as:

x = √rs

We can reconstruct the expression by writing it using exponents as shown;

[tex]x =\sqrt{rs}=(rs)^{\frac{1}{2} }[/tex]

Separate to have:

[tex]x =r^\frac{1}{2}s^\frac{1}{2}[/tex]

Hence another expression for the given rational function is [tex]x =r^\frac{1}{2}s^\frac{1}{2}[/tex]

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Answer:

$2142.86

Step-by-step explanation:

The remaining part of her money, after spending 3/5 of it and depositing 1/8 of it is equal to $750.

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

Retracing the steps :

⇒ She put 1/8 of the remainder in the bank, which gives $750

⇒ R - R/8 = 750

⇒ 7R/8 = 750

⇒ R = 750/7 × 8

⇒ R = 107.142857 × 8

⇒ R = 857.142856

* Don't worry, we'll simplify at the end of the answer *

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

Now, this remainder is what was left after spending 3/5 of it.

⇒ T - 3/5T = 857.142856

⇒ 2/5T = 857.142856

⇒ T = 857.142856/2 × 5

⇒ T = 428.571428 × 5

⇒ T = $2142.86 (nearest cent)

Answer:

short leg : long leg

x : 11 = 3 : x

Step-by-step explanation:

short leg : long leg

x : 11 = 3 : x

[tex]\implies \sf \dfrac{x}{11}=\dfrac{3}{x}[/tex]

[tex]\implies \sf x^2=33[/tex]

[tex]\implies \sf x=\sqrt{33}[/tex]

Answer:

3/x=x/11

Step-by-step explanation:

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]

Trinomial

[tex]\large{\underline{\underline{\pmb{\sf {\color {green}{Explanation:}}}}}}[/tex]

We can see that, in the given expression "x²y + 3x³" and the highest power is "3" so it's is trinomial.

In expression, if we the highest power is "one" then its called "monomial"(one), if the highest power is "2" then "binomial"(two) and lastly if it is "3" then "trinomial"(three).

[tex] \boxed{ \frak \red{brainlysamurai}}[/tex]

Answer:

16'

Step-by-step explanation:

4'

4 equal sides

4+4+4+4=16

Answer: Permimeter of a 4’ square is 16.

Step-by-step explanation:

given that:

• length = 4

∴ Perimeter of Square = 4 x length

⇒ P = 4 × 4

⇒ P = 16 units ...answer...

hope that helps...

Step-by-step explanation:

[tex]m {}^{2} + 5 \\ = 9 {}^{2} + 5 \: \: \: \: \: \: \\ = 9 \times 9 + 5 \\ = 81 + 5 \: \: \: \: \: \: \: \\ = 86 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

hope it will be helpful

Answer:

86

Step-by-step explanation:

 Plugin the value of m, in the expression

m² + 5 = 9² + 5

           = 81 + 5

            = 86

Answer:

A

Step-by-step explanation:

because

d-15=38

d-15+15=38+15

d=53

The domain of the graph is x ≥ -4

From the given graph, we have the following highlights:

Greater than and equal to are represented by ≥.

This means that the symbol that completes the domain of the graph is ≥

Hence, the domain of the graph is x ≥ -4

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Answer:

235500m3

Step-by-step explanation:

Volume of Cylinder= πr^2h

π=3.14, D=100m, r=D/2, r=100/2, r=50m, h=30m

πr^2h= 3.14×50×50×30

=3.14×75000

=235500m3

IT doesn't make any sense

The ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28

From the given table, we see that;

Mean grade of Sidney = 82

Mean grade of Phil = 78.

Mean absolute deviation of Sidney = 3.28

Mean absolute deviation of Phil = 3.96.

The difference between the two means of Sidney and Phil = 82 - 78 = 4.

Thus, the ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28

Complete Question is;

The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below. Means and Mean Absolute Deviations of Sidney’s and Phil’s Grades Sidney Phil Mean 82 78 Mean Absolute Deviation 3.28 3.96 Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

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The matching of each transformed function is as follows;

g(x) = 2f(x) → y-intercept at (0,2)

h(x) = f(x) + 2 → asymptote of y=2

j(x) = f(x + 2) → y-intercept at (0,4)

m(x) = function decreases as x increases

A function is simply defined as a relationship between the inputs and the outputs. Now, we want to map each transformed function.

From the graph of this question as shown in the attached brainly link, the correct matching of each transformation of function f(x) = In x with a feature of the transformed function are as follows;

g(x) = 2f(x) → y-intercept at (0,2)

h(x) = f(x) + 2 → asymptote of y=2

j(x) = f(x + 2) → y-intercept at (0,4)

m(x) = function decreases as x increases

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Answer:

B. x-2y=6

Step-by-step explanation:

Answer:

V = 150.72 cm³.

Step-by-step explanation:

First, get the volume of a cylinder.

V = πr²h

Where:

π = 3.14 (given)

r = radius (half of diameter, or 2)

h = height (12)

Knowing this, substitute the known values.

V = πr²h

V = (3.14)(2²)(12)

Square 2.

V = (3.14)(4)(12)

Multiply 3.14 and 4.

V = (12.56)(12)
Multiply 12.56 and 12.

V = 150.72.

Since it is already rounded to the nearest hundredth, that is your answer.

Answer:

87 in³

Step-by-step explanation:

that is the solution above

The unit price of each is $4,53

Unit price is the value of each separate item. As per the listing, 7 DVD packs in total are $31,75. So, to know the value of each DVD, let's divide the total value - by the 7 DVDs.

$31,75 ÷ 7 = $4,53

Therefore, the unit value of each DVD is $4,53

[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(6,5)\qquad B(6,15)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:2} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{3}{2}\implies \cfrac{A}{B} = \cfrac{3}{2}\implies 2A=3B\implies 2(6,5)=3(6,15)[/tex]

[tex](\stackrel{x}{12}~~,~~ \stackrel{y}{10})=(\stackrel{x}{18}~~,~~ \stackrel{y}{45})\implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{12 +18}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{10 +45}}{3+2} \right)} \\\\\\ P=\left( \cfrac{30}{5}~~,~~\cfrac{55}{5} \right)\implies P=(6~~,~~11)[/tex]