Mr Morris built a fence to enclose his yard he put 3/4 of the fence on Monday on Tusday he put up 1/6 of the fence and on wensday he put up the rest of the fence what portion of the fence on Wensday

The length of the lines GH and CH are 16 units and 12 units.

So, the measure of lines GH and CH:

We know that AC ⊥ GH hence cuts GH in two equal lines.

But,

We can observe that △GCH is an isosceles triangle.

Therefore, the length of the lines GH and CH is 16 units and 12 units.

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To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:

b. (2x)^2 - (5)^2

Using the difference of squares formula, we can factor it as follows:

(2x + 5)(2x - 5)

Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.

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Answer:

120 and 90

Step-by-step explanation:

let one number be x and the other y

x + y = 210 (sum = 210)

x - y = 30 (difference = 30)

add the two equations together

2x = 240

divide both sides by 2 to isolate x

x = 120

plug into 1st equation

120 + y = 210

subtract 120 from both sides

y = 90

We take the 2 numbers as 'x' and 'x-30' in order to find those numbers

We plug the values into the given equation

\(x + x - 30 = 210\\2x - 30 = 210\\\\2x = 240\\x = \frac{240}{2} \\x = 120\\x - 30 = 120 - 30 = 90\\\)

\(120 - 90 = 30\)

Hence , the two numbers are 120 and 90

Answer:

Step-by-step explanation:

H-23=53

H=76

Answer:

H - 23 = 53

+23. +23

H = 76

Step-by-step explanation:

Add 23 to both sides with that h = 76

Answer:

0

Step-by-step explanation:

Answer:

common multiples

Step-by-step explanation:

hope that helps you

Answer:

Answer is 160.00

Step-by-step explanation:

*proportion*

3hours/12cars

8hours/ (x) cars

X=32

Answer:

I think they would earn $40 buckeroos in 8 hours

Step-by-step explanation:

$5.00 x 8 hours = $40.00

I hope this was right & helpful ^w^

Solution:

Given:

Using the secant-secant theorem,

If two secants are drawn from an external point to a circle, then the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant.

Thus;

Hence,

Therefore, x = 16.6cm

Answer:

  x = 9 inches

Step-by-step explanation:

You want the value of x in the similar triangles shown.

Corresponding sides are proportional. This means the ratio of the horizontal side of the triangle to the vertical side is the same for both.

  6/4 = (6+x)/10

  15 = 6 +x . . . . . . . . multiply by 10

  9 = x . . . . . . . . . subtract 6

The measure of x is 9 inches.

__

Additional comment

You could also write the proportion ...

  6/4 = x/(10 -4)

  x = 36/4 = 9 . . . . . . . multiply by 6

You can see this if you draw a horizontal line through the figure at the top of the side marked 4 in.

<95141404393>

Step-by-step explanation:

901034

=9.01034 × 10⁵

hope it helps

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.  9.01034 × 10 ^5

Step-by-step explanation:

Answer:

8 miles

Step-by-step explanation:

I'm going to assume the question said that she "couldn't" repair the tire and was forced to walk back home, that makes more sense.

With that in mind:

She rode her bike 2 miles.

She walked 4 miles on the way there, and 6 miles on the way back.

You can deduce that it was a 6 mile walk back because of the 2 mile bike ride, then the 4 mile walk that it took to get there.

All in all that rounds out to 10 mile walking, and 2 mile biking. That is 8 miles more walking than biking.

Answer:

The rate of interest may vary , totally depends on the market value of that agency or company or the financial agency which is providing the mortgage money at certain rate. So, option (B) the interest rate may change depending on the condition of the economy is true statement regarding adjustable rate mortgage.Step-by-step explanation: hope it helps

Answer:

A

Step-by-step explanation:

Considering the definition of discriminant and the expression to find the solution of a quadratic equation:

The general form of a quadratic equation is ax² +bx +c, where a≠0

To find the solution of a quadratic equation, the expression is used:

\(x1,x2=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}\)

The part that is affected by the square root is called discriminant and is denoted by Δ:

Δ=b²-4ac

The sign of the discriminant informs the number of solutions of the equation:

In other words:

In summary, the graph of an equation with a negative discriminant always has no x-intercept.

On the other side, you have to solve 5x = 6x² – 3

Expressing as the general form for the quadratic function you have:

6x² -5x – 3= 0

where a=6, b=-5 and c=-3

The solution of the quadratic equation can be calculated as:

\(x1,x2=\frac{-(-5)+-\sqrt{(-5)^{2}-4x6x(-3)} }{2x6}\)

Solving:

\(x1=\frac{-(-5)+\sqrt{(-5)^{2}-4x6x(-3)} }{2x6}\)

\(x1=\frac{5+\sqrt{25+72} }{12}\)

\(x1=\frac{5+\sqrt{97} }{12}\)

and

\(x2=\frac{-(-5)-\sqrt{(-5)^{2}-4x6x(-3)} }{2x6}\)

\(x2=\frac{5-\sqrt{25+72} }{12}\)

\(x2=\frac{5-\sqrt{97} }{12}\)

So, the solutions of the function 5x = 6x² – 3 are \(x1=\frac{5+\sqrt{97} }{12}\) and \(x2=\frac{5-\sqrt{97} }{12}\) or ,which is the same, \(x1,x2=\frac{5+-\sqrt{97} }{12}\)

Learn more about the discriminant and the expression to find the solution of a quadratic equation:

Answer:

\(\frac{-17}{16+3x}\)

Step-by-step explanation:

8-25

4+3x-20

-17

16+3x

200 shirts x $30 = $6000

Total sales would be $6000

Profit = 6000 - 5400 = $600

Divide profit by cost:

600/5400 = 0.1111

Multiply by 100 for percentage:

0.111 x 100 = 11.1%

Rounding to nearest percent would be 11% markup

Answer:

is it 2.00?

Step-by-step explanation:

The value of m in the fourth equation does not tend to zero, hence the function that has a maximum value of m, where m is a positive constant is\(f(x)=-(m+x)^2\): Option D is correct.  

For any function to have a maximum, the differential of the function must be equal to zero.

If the functions in options A and B and C are differentiated and equated to zero, the values of m in each function will tend to zero as well.

For the function \(f(x)=-(m+x)^2\)

\(f'(x) = -2(m+x)\times 1\\f'(x)=-2(m+x)\\0 = m+x\\m = -x\)

Since the value of m in the fourth equation does not tend to zero, hence the  function that has a maximum value of m, where m is a positive constant is\(f(x)=-(m+x)^2\)  

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We will see that Mrs. Cardenas pays $63.44 weekly.

Here we know that the cost of the insurance is $9,450.20, this would be the 100%.

We know that the company pays for 65% of it, meaning that Mrs. Cardenas pays for the other 35%.

Then we need to find how much is the 35% of $9,450.20, it is given by:

(35%/100%)*$9,450.20 = 0.35*$9,450.20 = $3,307.57

This means that Mrs. Cardenas pays $3,307.57 annually. But we want to know how much she pays weekly.

In a year, there are near 52.14 weeks, so we divide the above quantity by 52.14

($3,307.57)/(52.14) = $63.44

Mrs. Cardenas pays $63.44 weekly.

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Answer:

Proved

Step-by-step explanation:

\(\cos{(x)} \cos{(y)} [\tan{(x)}+\tan{(y)}]\\=\cos{(x)}\cos{(y)}\times[\frac{\sin{(x)}}{\cos{(x)}}+\frac{\sin{(y)}}{\cos{(y)}}]\\\\\\\\=\cos{(x)}\cos{(y)}\times\frac{\sin{(x)}}{\cos{(x)}}+\cos{(x)}\cos{(y)}\times\frac{\sin{(y)}}{\cos{(y)}}\\\\\\\\=\cos{(y)}\times\sin{(x)}+\cos{(x)}\sin{(y)}\\\\=\sin{(x+y)}\)

Answer:

2.75

Step-by-step explanation:

Answer:

9 days

Step-by-step explanation:

1= 9*(1.04)^d

12.81/9= (1.04)^d

1.423= (1.04)^d

log(1.423)= d *log(1.04)

0.1532=d * 0.017

d= 0.1532/0.017

d=9

The reasonable domain to plot the growth function is in the interval [0,9].

Answer:

9 days

Step-by-step explanation:

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.

When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.

Here we have

24x⁶ - 1029y³  

Take 3 as common

=> 3(8x⁶ - 343y³)  

As we know 8 = 2³ and 343 = 7³

=> 3[(2x²)³ - (7y)³]  

From the algebraic identities

Take a = 2x² , b = 7y and apply above formula

=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]  

=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]  

Therefore,

(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)  

Therefore,

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

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Answer:

♡ hi there♡

the gradient of the graph is 5♡

have a great day or night

-madeline

✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧

Step-by-step explanation:

5( y + 2/5) = -13

Distribute the 5 by multiplying the 5 by each term inside the set of parentheses:

5y + 2 = -13

Subtract 2 from both sides:

5y = -15

Divide both sides by 5:

Y = 3

The answer is y = 3

Answer:

I'm sorry, but i cant give the whole answer. But every third of the trip the car loses 18 liters. So sorry i cants say full thing.

Step-by-step explanation:

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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Given :

Tickets to a concert cost 12$ each plus a 4$ processing fee

so, the slope = $12 ( the cost for each )

And the y - intercept = $4 ( will paid one time )

So, the answer is :

Answer:

123

Step-by-step explanation:

123 + 123 = I Don't Know, RSM is toooooo hard

Answer:

-(x+18)

Step-by-step explanation:

|x+18|

Flip it around

-(x+18)

Hope this helps

:)