Grady's father is building a 15-meter fence with the start of the fence at coordinates(8, 5) and the midpoint of the fence at coordinates(3.5, -1) . What are the coordinates of the other end of the fence?

Answer:

n = 4

Step-by-step explanation:

8 * n = 32

Solve for n

Divide each side by 8

8*n/8 = 32/8

n = 4

Split up the interval [1, 3] into 4 intervals of equal length,

[tex]\Delta x = \dfrac{3 - 1}4 = \dfrac12[/tex]

The left endpoint of the [tex]i[/tex]-th interval is

[tex]\ell_i = 1 + \dfrac i2[/tex]

The area under the curve is then approximately

[tex]\displaystyle \int_1^3 f(x) \, dx \approx \sum_{i=1}^4 f(\ell_i)\Delta x \\\\ ~~~~~~~~ = \frac12 \sum_{i=1}^4 \left(1 + \frac i2\right)^3 \\\\ ~~~~~~~~ = \frac12 \sum_{i=1}^4 \left(1 + \frac{3i}2 + \frac{3i^2}4 + \frac{i^3}8\right) = \boxed{27}[/tex]

Answer:

It's the nitrogen concentration, since it's the one being decided.

The solutions to the quadratic equation, -9x² + 49 = 0, are: C. x = 7∕3, –7∕3.

Given the quadratic equation, -9x² + 49 = 0, we can factorize to find the roots (the values of x) as shown below:

-9x² + 49 = 0

-(9x² - 49) = 0

Divide both sides by -1

-(9x² - 49)/-1 = 0/-1

9x² - 49 = 0

9x² - 49 + 49 = 0 + 49

9x² = 49

Divide both sides by 9

9x²/9 = 49/9

x² = 49/9

Take the square root of both sides

√x² = √(49/9)

x = ±7/3

Therefore, the solutions to the quadratic equation, -9x² + 49 = 0, are: C. x = 7∕3, –7∕3.

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Answer:

3 nickels and 7 dimes.

Step-by-step explanation:

Let +n+ = number of nickels

Let +d+ = number of dimes

-----------------------------

(1) +5n+%2B+10d+=+85+

(2) +d+=+n+%2B+4+

----------------------------

Substitute (2) into (1)

(1) +5n+%2B+10%2A%28+n+%2B+4+%29+=+85+

(1) +5n+%2B+10n+%2B+40+=+85+

(1) +15n+=+45+

(1) +n+=+3+

and

(2) +d+=+n+%2B+4+

(2) +d+=+3+%2B+4+

(2) +d+=+7+

---------------------

There are 3 nickels and 7 dimes

-------------------------------

check:

(1) +5n+%2B+10d+=+85+

(1) +5%2A3+%2B+10%2A7+=+85+

(1) +15+%2B+70+=+85+

(1) +85+%2B+85+

OK

The Remaining length of the cardboard piece is  94.15 cm.

According to the statement

We have to find that the length of the remaining piece.

So, For this purpose, we know that the

Length is defined as the measurement or extent of something from end to end.

From the given information:

Four pieces measuring 29.cm, 19.62cm, 32.49cm and 24.74cm are cut from a board that is 200cm long.

Then

Total length of the four pieces become:

Four pieces length = 29+19.62+ 32.49 + 24.74

Four pieces length = 105.85 cm

Then the

Remaining length of the cardboard piece = total length - length of the four pieces.

Remaining length of the cardboard piece = 200 - 105.85

Remaining length of the cardboard piece = 94.15cm.

So, The Remaining length of the cardboard piece is  94.15 cm.

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Answer:

56 degrees

22 minutes

48 seconds

Answer:

answer is 251.5

Mark as branliest if helped a bit

Any given equation can be solved with the help of transpose method by following the steps mentioned below, but first understand what is linear equation.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. It is of the form -

y = ax + b

Given a simple equation and we have to solve the equation using transpose method.

We will learn about transpose method of equation solving with the help of an example. Assume that you have to solve the following expression -

4(x + 9) = 3(x + 7)

STEP - 1 - Identify the unknown variable.

In the expression given, the unknown variable is x.

STEP - 2 - Solve the Left hand side and Right hand side to make both sides simpler.

In the expression given, we will simplify both sides -

4(x + 9) = 3(x + 7)

4x + 4 × 9 = 3x + 3 × 7

4x + 36 = 3x + 21

STEP - 3 - Transfer the terms that containing variable one Left hand side of equation and the constant terms on the right hand side.

Apply Step 3 -

4x - 3x + 36 = 21

4x - 3x = 21 - 36

STEP - 4 - Solve for unknown variable.

We have -

4x - 3x = 21 - 36

x = - 15

Therefore, any given equation can be solved with the help of transpose method by following the steps mentioned above.

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The value closest to the lateral area of the cylinder is 138. 5cm^2. Option C

The formula for determining the lateral area of a cylinder is expressed as;

Lateral area = 2 πrh

Where;

Note that radius is half the diameter;

radius, r = 5. 8/ 2 = 2. 9 cm

Substitute into the formula

Lateral area = 2 ( 3. 142 × 2. 9 × 7. 6)

Lateral area = 2 ( 69. 249)

Lateral area = 138. 49 cm^2

Thus, the value closest to the lateral area of the cylinder is 138. 5cm^2. Option C

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Answer:

189

Step-by-step explanation:

189 hshwhwjwowoqoqooqpqp

The length of one side of the square is x+6

The formula for calculating the area of a square is expressed as:

A = L^2

where

L is the side length of the square

Given the following parameters

A = x^2 + 12x + 36  square feet

A = (x+6)^2

(x+6)^2 = L^2

L = x + 6

Hence the length of one side of the square is x+6

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Answer:

$4,833.40

Step-by-step explanation:

First find the area of the room.

A = lw

A = (13)(13)

A = 169[tex]ft^{2}[/tex]

It cost 28.60 per square foot.  Multiply these numbers together.

169(28.60) = 4833.40

The equation to the tangent line to [tex]y = e^{(x^2)}[/tex] at point (1,0) is given by:

y = 2e(x - 1).

Supposing that we have a function f(x) at a point [tex](x_0, y_0)[/tex], the equation of the tangent line to this function is given by:

[tex]y - y_0 = f^{\prime}(x_0, y_0)(x - x_0)[/tex]

In which f' is the derivative.

In this problem, the function is:

[tex]f(x) = e^{(x^2)}[/tex]

Applying the chain rule, the derivative is:

[tex]f^{\prime}(x) = 2xe^{(x^2)}[/tex]

At x = 1, the derivative is:

[tex]f^{\prime}(1) = 2(1)e^{((1)^2)} = 2e[/tex]

Hence the tangent line at point (1,0) is given by:

y = 2e(x - 1).

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Answer: 60 rides

Step-by-step explanation:

18/30% = (as fraction) 180/3

= 60

Answer:

n = 7

Step-by-step explanation:

You will want to add all common factors with each other.

So that would be n + 3n + 5n which would be 9n.

Then -8 + 1 would be -7. So now it should be 9n - 7.

You are going to set 56 equal to 9n - 7, so that would be 9n - 7 = 56.

After that, you will have to leave 9n alone by itself, so you would have to add 7 to both sides. Your final equation should be 9n = 63.

After that, you should divide both sides by 9 since you want n alone.

So 63 ÷ 9 would be 7. So at the end, n = 7.

Answer:

1500000

Step-by-step explanation:

The area of the figure is 22.785 square yards

The figure is a triangle, and it has the following properties

Base = 9.3 yards

Height = 4.9 yards

The area of the figure is calculated as

Area  = 0.5 * Base * Height

So, we have

Area = 0.5 * 9.3 * 4.9

Evaluate

Area = 22.785

Hence, the area of the figure is 22.785 square yards

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The answer is (-∞.∞).

Draw out a number line. Plot 0 and -4 on the number line.

Shade to the left of x = 0, and have a filled in circle at the endpoint. This is the graph of x≤0

Then graph x ≥−4 by plotting a filled in circle at -4, and shading to the right.

Note how the two graphs overlap to cover the entire real number line

So if we have x≤0  or  x≥−4 then we're basically saying x is any real number. To write this in interval notation, we write (−∞,∞)

This is the interval from negative infinity to positive infinity (or just infinity). We exclude each endpoint because we can't actually reach infinity itself. Infinity is not a number. Infinity is a concept

Side note: if you change the "or" to "and", then the solution to x≤0  and  x≥−4 would be [-4, 0][−4,0] to indicate the interval from x = -4 to x = 0, including both endpoints. This is the region where the two graphs overlap.

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false is the answer of that Q

Answer:

120

Step-by-step explanation:

l = (w*3)+2

w = 6

area = ((6*3)+2) * 6

            ((18) + 2) * 6

               20        * 6

                     120

Answer:

18

Step-by-step explanation:

tbh I kinda forgot how to do this but ill try,

input 3 into the f(x)

4(3)+6=12+6=18

The range the number of clients, y, the company will have after x years of the function will be -∞ ≤ y ≤ ∞

The range of a function is the complete set of possible dependent variable values. While domain is the set of all possible independent values. We can substitute domain to get range.

From the given graph, the line of the equation of the graph is a linear. We can then say that y = - ∞, y = 1 and y = ∞

Y = 1 when x = 0

Therefore, the range of the function will be -∞ to +∞ That is,

-∞ ≤ y ≤ ∞

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Answer:

1,∞ is the answer

Step-by-step explanation:

Answer:

16/99

Step-by-step explanation:

i think

The correct option is C, if f(x) has a domain only with positive values, the graph will be on the first and fourth quadrant.

We know that the domain of f(x) is only the set of positive real numbers. Now remember that the domain of a function is the set of the inputs of that function (the inputs are on the horizontal axis).

Then the graph of f(x) will only be on the positive side of the horizontal axis.  We know that the two quadrants that are on that region are the first quadrant and the fourth quadrant.

Then if f(x) has a domain only with positive values, the graph will be on the first and fourth quadrant, this means that the correct option is C.

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Answer:

1022 minutes

Step-by-step explanation:

Let x be the number of minutes the executive used the phone

There is a base charge of $35 and only minutes greater than 900 min are charged at the rate of $0.40 per minute

So total bill A = 35 + 0.4(x-900)

We know the bill was $83.80

So we can rewrite the equation as

35 + 0.4(x-900) = 83.30

and solve for x

To make it easier for computational purposes

1)  Multiply both sides by 10

[tex]35\cdot \:10+0.4\left(x-900\right)\cdot \:10=83.8\cdot \:10[/tex]

2) Perform individual multiplication

[tex]350+4\left(x-900\right)=838[/tex]

3)  Subtract 350 from both sides

[tex]350+4\left(x-900\right)-350=838-350[/tex]

4)  Simplify

[tex]4\left(x-900\right)=488[/tex]

5) Divide both sides by 4

[tex]\frac{4\left(x-900\right)}{4}=\frac{488}{4}[/tex]

6) Simplify

[tex]x-900=122[/tex]

7) Add 900 to both sides to isolate x

[tex]x-900+900=122+900[/tex]

8) Simplify to obtain x

[tex]x=1022[/tex]

Answer: The executive used the phone for 1022 minutes that month

Using limits, the average cost when printing an increasing large number is of $115.

When x goes to infinity and we want to solve the limit, we consider only the term with the highest degree. If we have a fraction, as is the case in this problem, we consider the terms with the highest degree of the numerator and of the denominator.

For this problem, the cost function is:

[tex]C(x) = \frac{450 + 115x}{x}[/tex]

The terms with largest degree are the multipliers of x, with degree 1, hence the limit is given as follows:

[tex]\lim_{x \rightarrow \infty} C(x) = \lim_{x \rightarrow \infty} \frac{450 + 115x}{x} = \lim_{x \rightarrow \infty} \frac{150x}{x} = 150[/tex]

Hence the average cost when printing an increasing large number is of $115.

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Answer:

[tex] \sqrt[3 \\ ]8 + \sqrt{114} {?} [/tex]