Find the domain of the function.

Answer:

3.55555555556

Step-by-step explanation:

Answer:

1.5 bananas.

Step-by-step explanation:

1.5 x 2 = 3

Answer:

1.5

Step-by-step explanation:

3 divided by 2 is 1.5

The height of the building is 315 feet because the ratio of the building's height to the post's height is equal to the ratio of the building's shadow length to the post's shadow length.

This problem can be solved using the concept of proportionality.

The height of the building is proportional to the length of its shadow, and the height of the post is proportional to the length of its shadow.

Express this mathematically as follows:

Building height / Post height = Shadow length / Post shadow length

Substituting the known values:

Building height / 3 feet = 105 feet / 4 inches

Convert 105 feet to inches first. 105 feet is equal to 105 × 12 = 1260 inches.

Rewrite the equation as follows:

Building height / 3 feet = 1260 inches / 4 inches

The units cancel out, and are left with:

Building height = 1260 / 4 = 315 feet

Therefore, the height of the building is 315 feet.

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Final answer:

To calculate the building's height, we set up a proportion using similar triangles. With the shadow of the building being 105 feet and the shadow of a 3-foot post being 4 inches (1/3 feet), we solve the proportion to find that the building is 315 feet tall.

Explanation:

To determine the height of the building, we can use similar triangles. The method involves setting up a proportion based on the principle that similar triangles have corresponding sides that are in the same ratio. Given the length of the building's shadow and the length of the shadow cast by a known post, we can find the building's height.

Let's define the following variables: B for the height of the building, Sb for the length of the building's shadow, P for the height of the post, and Sp for the length of the post's shadow. From the problem, Sb = 105 feet, P = 3 feet, and Sp = 4 inches, which is 1/3 feet since there are 12 inches in a foot.

Using these variables, the proportion can be set up as follows:

Plugging in the known values, we get:

By solving this proportion for B, we find that:

Therefore, the height of the building is 315 feet.

Answer: 2(x+5)2+ 8x + 5+6=0

Step-by-step explanation:

2(x + 5)2 + 8x + 5 + 6=0

2(x+5)(x+5) + 8x + 11=0

2(x^2+ 10x + 25) + 8x + 11=0

2x^2 +20x + 50 + 8x + 11=0

2x^2 +28x +66=0

This is a second-degree equation, the greatest power is two. Hence it is a quadratic equation.

None of the given equations are purely quadratic in form; they include terms of higher degrees or additional constant terms. Therefore, none of them fit the criteria.

To determine which equation is quadratic in form, we need to look for equations that can be written in the form [tex]\(ax^2 + bx + c = 0\)[/tex], where [tex]\(a\), \(b\), and \(c\) are constants and \(x\)[/tex] is the variable.

Let's analyze each given equation:

[tex]1. \(2(x + 5)^2 + 8x + 5 + 6 = 0\)[/tex]

  This equation involves a quadratic term [tex]\((x + 5)^2\)[/tex], but it also includes linear and constant terms. Therefore, it is not purely quadratic in form.

2. [tex]\(x^6 + 6x + 8 = 0\)[/tex]

  This equation contains a sixth-degree term [tex]\(x^6\)[/tex], making it a polynomial of degree 6. It is not quadratic in form.

[tex]3. \(7x^6 + 36x^3 + 5 = 0\)[/tex]

  Similar to the previous equation, this equation contains a sixth-degree term [tex]\(x^6\)[/tex] and a third-degree term [tex]\(x^3\)[/tex].

It is not quadratic in form.

[tex]4. \(4x^9 + 20x^2 + 25 = 0\)[/tex]

  This equation contains a ninth-degree term [tex]\(x^9\)[/tex] and a quadratic term[tex]\(20x^2\).[/tex]

However, it also contains a constant term. Therefore, it is not purely quadratic in form.

None of the given equations are purely quadratic in form.

Answer:

NO

Step-by-step explanation:

Since you are rounding to a numbers in the 100s you need to find the closest multiple of 100 to 448, this would be 400 since the difference between 448 and 400 is 48 while the difference between 500 and 448 is 52 and 48<52

Step-by-step explanation:

To solve this system of equations, you can use either substitution or elimination. Let's use the elimination method.

First, multiply the second equation by 4 to make the coefficients of \( x \) in both equations opposites:

\( (2x + 5y) \times 4 = -28 \times 4 \)

This gives us:

\( 8x + 20y = -112 \)

Now, we'll subtract the first equation from this modified second equation:

\( (8x + 20y) - (-8x + 15y) = -112 - (-28) \)

Simplify:

\( 8x + 20y + 8x - 15y = -112 + 28 \)

\( 16x + 5y = -84 \)

Now we have a new equation:

\( 16x + 5y = -84 \)

And the first equation remains the same:

\( -8x + 15y = -28 \)

Now, we can solve this system of equations by elimination or substitution. Let's continue with elimination. Multiply the first equation by 2:

\( -16x + 30y = -56 \)

Now, add this equation to the second modified equation:

\( (-16x + 30y) + (16x + 5y) = -56 - 84 \)

\( 30y + 5y = -140 \)

\( 35y = -140 \)

Divide both sides by 35:

\( y = -4 \)

Now, substitute \( y = -4 \) into one of the original equations to solve for \( x \). Let's use the first equation:

\( -8x + 15(-4) = -28 \)

\( -8x - 60 = -28 \)

Add 60 to both sides:

\( -8x = -28 + 60 \)

\( -8x = 32 \)

Divide both sides by -8:

\( x = -4 \)

So, the solution to the system of equations is \( x = -4 \) and \( y = -4 \).

Answer:

(-10, 6)

Step-by-step explanation:

To find the domain of a function, you just look at where the x starts and the x ends. since there are points at either end you do the points. if it were to go on forever like a line then the domain would be from Infinity to a point or Infinity to Infinity and etc.

Answer:

76.5$

Step-by-step explanation:

8.5 x 9 = 76.5

Answer:

14 units greater.

Step-by-step explanation:

Subtracting:

n + 3 - (n - 11)

= n - n + 3 + 11

= 14.

If we subtract n-11 from n+3 then we found n+3 is greater from n-11  by 14.

In mathematics difference means the difference in values means which value is how much greater than or less than from other.

We have to find how much is n+3 greater than n-11.

We have just subtract n-11 from n+3

=n+3-(n-11)

=n+3-n+11

=14

Hence n+3 is 14 number greater than n-11.

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Answer:

She is wrong and the correct answer is [tex]\frac{5}{21}[/tex].

Step-by-step explanation:

The given expression is

[tex]\frac{4}{7}-\frac{1}{3}[/tex]

Sandra says that [tex]\frac{4}{7}-\frac{1}{3}=\frac{3}{4}[/tex] because all you have to do is subtract the numerators and subtract the denominators.

She is wrong. The correct method is shown below.

Make the denominator common.

[tex]\frac{4\times 3}{7\times 3}-\frac{1\times 7}{3\times 7}[/tex]

[tex]\frac{12}{21}-\frac{7}{21}[/tex]

On further simplification we get

[tex]\frac{12-7}{21}[/tex]

[tex]\frac{5}{21}[/tex]

Therefore, the correct answer is [tex]\frac{5}{21}[/tex].

you should add me on snap connorpike2

Answer:

0.029

Step-by-step explanation:

"To write 29/1000 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 29 by 1000 what we write down as 29/1000 and we get 0.029"

-Solutions easy

Answer:

a: yes

b: no

c:yes

D: yes

Step-by-step explanation:

inal answer:

To determine divisibility by 3, the sum of the digits in a number must be divisible by 3. The numbers 27, 123, and 402 are divisible by 3, while 35 is not.

Explanation:

To determine whether a number is divisible by 3, you can use the rule that a number is divisible by 3 if the sum of its digits is divisible by 3. Here are the step-by-step examinations for each of the numbers:

27: The digits add up to 2 + 7 = 9, which is divisible by 3. Yes, 27 is divisible by 3.

35: The digits add up to 3 + 5 = 8, which is not divisible by 3. No, 35 is not divisible by 3.

123: The digits add up to 1 + 2 + 3 = 6, which is divisible by 3. Yes, 123 is divisible by 3.

402: The digits add up to 4 + 0 + 2 = 6, which is divisible by 3. Yes, 402 is divisible by 3.

Answer:

[tex]\large\boxed{m<1\to m\in(-\infty,\ 1)}[/tex]

Step-by-step explanation:

[tex]m<2+m<3\to m<2+m\ and\ 2+m<3\\\\m<2+m\qquad\text{subtract}\ m\ \text{from both sides}\\m-m<2+m-m\\0<2\qquad\bold{TRUE}\to m\in\mathbb{R}\ (all\ real\ numbers)\\\\2+m<3\qquad\text{subtract 2 from both sides}\\2-2+m<3-2\\m<1\\\\m\ \text{is any real number and}\ m<1.\\\\\text{Therefore}\ m<1\to m\in(-\infty,\ 1)[/tex]

Answer:

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

Step-by-step explanation:

Factorise the numerator and denominator

2x² + 2x - 4 ← factor out 2 from each term

= 2(x² + x - 2)

= 2(x + 2)(x - 1) ← in factored form

2x² - 4x + 2 ← factor out 2 from each term

= 2(x² - 2x + 1)

= 2(x - 1)² ← in factored form

Thus

[tex]\frac{2x^2+2x-4}{2x^2-4x+2}[/tex]

= [tex]\frac{2(x+2)(x-1)}{2(x-1)^2}[/tex]

Cancel 2 and factor (x - 1) on numerator/ denominator, leaving

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

Answer:

4700

Step-by-step explanation:

Area for rectangle is length times width (lw) so it is 50*94 = 4700

Final answer:

The volume of foam needed to make 120 cones, each with a 9-inch height and a 5-inch diameter base, is approximately 7,068.6 cubic inches.

Explanation:

The question involves finding the volume of a single cone and then calculating the total volume of foam needed for producing 120 cones. To find the volume of one cone, we use the formula V = (1/3)πr²h, where r is the radius of the base and h is the height. Given that the diameter of the base is 5 inches, the radius (r) would be half of that, which is 2.5 inches. The height (h) is given as 9 inches. Therefore, the volume of one cone is:

V = (1/3)π(2.5)²(9)

This simplifies to V ≈ 58.905 cubic inches (using 3.14159 for π). To find the volume for 120 cones, we multiply the volume of one cone by 120:

Total volume = 58.905 in³ × 120 ≈ 7,068.6 cubic inches.

This is the amount of foam needed to make 120 cones.

Answer:

yes

Step-by-step explanation:

The number 86.7 is a rational number. It is possible to obtain the number 86.7 by dividing the integer 867 by the integer 10, as in 867/10. Because 86.7 is a quotient that results when two integers are divided, we say that 86.7 is a rational number.

Answer:

10+5

Step-by-step explanation:

It is the answer In my views

Answer:

No, the phrase 20 more indicates addition.

For instance, 20 more than 50 is 70.

Answer:

r = q -6

Step-by-step explanation:

q= [tex]\frac{q}{r} -6[/tex]

[tex]\frac{\frac{q}{r} -6}{r}[/tex]

You do kcf (keep it, change it, flip it)

[tex]\frac{q}{r} -6 times \frac{r}{1}[/tex]

To solve the equation q/r - 6 = q for r, you need to isolate the variable r on one side of the equation.

To solve the equation q/r - 6 = q for r, we need to isolate the variable r on one side of the equation. First, we'll get rid of the fraction by multiplying both sides of the equation by r. This gives us r(q/r) - 6r = qr. Simplifying further, we have q - 6r = qr. Next, we'll move all the terms involving r to one side by subtracting qr from both sides of the equation. This gives us q - qr - 6r = 0. Factoring out the common factor of r from the last two terms, we have q - r(q + 6) = 0. Finally, we solve for r by dividing both sides of the equation by q + 6. So, the solution to the equation is r = q/(q + 6).

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Step-by-step explanation:

whrn you have a proble. you can tell me thank you have a nice day

To solve, find how many groups of 5 are in 145 girls (145 ÷ 5 = 29 groups of girls). Then, find how many boys are in these groups by multiplying the number of groups by the boys' ratio (4), thus 29 x 4 = 116 boys in the 6th grade.

To determine the number of boys in the 6th grade, we will make use of the ratio provided, 4:5. This ratio means that for every 4 boys, there are 5 girls. To translate this into actual numbers, take the total number of girls (145) and calculate how many groups of 5 you have, because that's how many groups of boys you would have also. To determine the number of boys, you multiply the number of groups by 4.

First, Divide 145 by 5 to find out how many groups of girls there are: 145 ÷ 5 = 29. These equate to groups of students based on the ratio. Second, Multiply the number of groups by the boys’ ratio number (4) to find the number of boys. So, 29 x 4 = 116. That's the total number of boys in the 6th grade.

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Answer:   A rational number is any number that can be written as a fraction where the numerator and denominator are counting numbers.

Hope this helps

Step-by-step explanation:

If x is 8, then plug 8 into the expression:

x+9

= (8)+9

= 17

I'm pretty sure this is correct!

Answer: 17      hope it helps (⌐■-■)

Step-by-step explanation:

Answer:

Pythagorean theorem:

14.03 ft

Step-by-step explanation:

given

[tex] \frac{x - 2}{x - 5} [/tex]

put x = 6 into equation

[tex] \frac{6 - 2}{6 - 5} [/tex]

[tex] = \frac{4}{1} [/tex]

[tex] = 4[/tex]

Final answer:

The value of the rational expression (x-2)/(x-5) when x is 6 is 4.

Explanation:

To find the value of the rational expression x-2/x-5 when x is equal to 6, simply substitute the value of x into the expression:

((6-2)/(6-5) = 4/1 = 4)

So, the value of the expression when x is 6 is 4.

Answer:

There were 121 rain jacket were collected

Step-by-step explanation:

* Lets explain how to solve the problem

- On the first day of the clothing drive, 11 rain jackets were collected

- At the end of the drive 10 times that number of rain jackets were

 collected

- We want to find how many rain jackets were collected

∵ There were 11 rain jacket were collected on the first day

∵ Ten times that number were collected at the end of the drive

- Ten times means we will multiply the number of rain jacket in

 the first day of the clothing drive by 10

∴ The number of rain jacket at the end of the drive = 10 × 11 = 110

∴ There were at the end of the drive 110 jackets

- To find the number of the rain jacket were collected is the sum

 of the number of rain jacket at the first day and at the end of

 the drive

∴ The number of rain jacket = 110 + 11 = 121

* There were 121 rain jacket were collected

Hi there! I will try my best to help you. If the answers I give you are wrong, I am so sorry.

Answer:

1. <

2. <

3. >

7.  Apricot sulphur, large orange sulphur, white-angled sulfur, great white

9. 8 (with the sign), 7/2 (with the sign), 2

10. pi, 12 (with the sign), 3.5

11. -20, 26 (with the sign), 35 (with the sign), 13.5

12. -5.25, 3/2, 6 (with the sign), 5

Answer:

lol this is a lot

Step-by-step explanation: