An egg is dropped from a height of 90 ft. If acceleration die to gravity is -16ft/s^2 and initial velocity is 0ft/s, approximately how long will it take for the egg to reach the ground?

Answer:

[tex]90cm^2[/tex]

Step-by-step explanation:

The side length AB of triangle ABC corresponds to side length of PQ of triangle PQR.

The scale factor from ABC to PQR is [tex]k=\frac{6}{4}=1.5[/tex]

The area of triangle PQR will change by [tex]k^2=1.5^2=2.25[/tex] centimeters square.

Since we know the area of triangle ABC to be [tex]40cm^2[/tex], the area of triangle PQR [tex]=2.25\times 40=90cm^2[/tex]

Answer:

The area of the triangle PQR is 90 cm^2.

Step-by-step explanation:

We are given two triangles, ABC and PQR, which are similar to each other.

If two triangles are similar, then the ratio of their areas is the square of the ratio of their sides.

Given that area of the triangle ABC is [tex]40cm^2[/tex], we are to find the area of the triangle PQR.

Finding the scale factor [tex]k=\frac{6}{4} =1.5[/tex]

So square of this scale factor will be [tex]k^2=(1.5)^2=2.25[/tex]

Area of triangle PQR = [tex]2.25 \times 40[/tex] = 90cm^2

Answer:

The wall is 3 ft high and 5 ft long.

Step-by-step explanation:

Recall:  Area of the rectangular wall is A = (length)(height).

Let the height be represented by h.  Then the length is represented by h + 2.

The formula A = (length)(height) then becomes A = h(h+2) = 15 ft², which, written in the standard form of a quadratic equation, is h² + 2h - 15 = 0.

Let's solve this last equation for h using completing the square:

h² + 2h - 15 = 0 becomes h² + 2h + 1 -1 - 15 = 0, or (h + 1)² = 16.  Taking the square root of both sides, we get:

h + 1 = ±4, which is equivalent to h = 3 and h = -5.  Discard the negative result.  Then h = 3 and w = 3+2 = 5.

The wall is 3 ft high and 5 ft long.  Its area is (3 ft)(5 ft) = 15 ft²

The height and the length of the rectangular wall is 3 feet and 5 feet respectively.

Area of a rectangle = 15 square feet

Length = x feet

Height = (x - 2) feet

Area of a rectangle = height × length

15 = x × (x - 2)

15 = x² - 2x

set to quadratic equation

x² - 2x - 15 = 0

x² - 5x + 3x - 15 = 0

x(x - 5) + 3(x - 5) = 0

(x + 3)(x - 5) = 0

x + 3 = 0 or x - 5 = 0

x = -3 or x = 5

The length of a rectangle cannot be negative

Therefore,

Length = x feet

= 5 feet

Height = (x - 2) feet

= 5 - 2

= 3 feet

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It’s the second one from the right

Since there’s a - behind x it means it has to be facing down so it’s either 2 or 4

Now it’s x-2 and we know that x moves the opposite so it needs to move 2 to the right so the answer is 2

Answer:

Yes

Step-by-step explanation:

Yes, that is possible because whenever one number is a factor of the other one, it's their greatest common factor. Here are some examples.

2 and 200

10 and 100

13 and 52

one thousand and one million

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➷ x=-2, no explanation

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There always needs to be an explanation so you understand it!

Follow this step by step.

#1. Remove all -1 on both sides.

You are left with 2(x+3)+x=0.

#2. Expand the equation.

2x+6+x=0.

#3. Simplify 2x + 6 + x to 3x + 6.

3x+6=0

#4. Subtract 6 from each side.

3x=−6.

#5. Divide both sides by 3.

x = -6/3.

#6. Simplify 6/3 to 2.

x = 2.

Therefore, you get [tex]\fbox{x = 2}[/tex].

Answer:   5

Step-by-step explanation:

[tex]\sqrt{4x+5}-\sqrt{x-1}=\sqrt{x+4}\\\\(\sqrt{4x+5}-\sqrt{x-1})^2=(\sqrt{x+4})^2\\\\4x+5-2\sqrt{(4x+5)(x-1)}+x-1=x+4\\\\5x+4-2\sqrt{(4x+5)(x-1)}=x+4\\\\4x=2\sqrt{(4x+5)(x-1)}\\\\2x=\sqrt{(4x+5)(x-1)}\\\\(2x)^2=(\sqrt{(4x+5)(x-1)})^2\\\\4x^2=(4x+5)(x-1)\\\\4x^2=4x^2+x-5\\\\0=x-5\\\\5=x\\\\\\Check:\\\sqrt{4(5)+5}-\sqrt{(5)-1}=\sqrt{(5)+4}\\\\\sqrt{25}-\sqrt{4}=\sqrt9\\\\5-2=3\ \checkmark[/tex]

Answer:

C.) -33

Step-by-step explanation:

2/3 (x+6) = -18

x+6 = -27

x = -33

Answer:

B

Step-by-step explanation:

2/3*(x + 6) = -18

Multiply by 3

2(x + 6) = -18*3

2(x + 6) = -54    

Remove the brackets

2x + 12 = - 54

Subtract 12 from both sides

2x+12-12 = - 54 - 12

Combine like terms

2x = -66

Divide by 2

2x/2 = -66/2

x = -33

Answer B

Answer:

That is it's simplest form

Step-by-step explanation:

There is no coefficients that are the same

Area of circle = [tex]\pi[/tex][tex]r^{2}[/tex]

First, we can put in our values. For now, we can leave [tex]\pi[/tex] alone.

Our radius is 5.5 so we have to square it which gives us a product of 30.25

then, we can multiply our radius squared by [tex]\pi[/tex] and we get

Area, A = 95.033177771091 [tex]in^{2}[/tex]

North Carolina = 3 * Utah

North Carolina = 2 * Oregon

Arkansas = Oregon - 1,000,000

North Carolina + Utah + Oregon + Arkansas = 27,000,000

North Carolina = 3 * Utah

Utah = 1/3 * North Carolina

Utah = 1/3 * (2 * Oregon)

(2 * Oregon) + (1/3 * (2 * Oregon)) + Oregon + (Oregon - 1,000,000) = 27,000,000

2O + (1/3 * 2O) + O + O - 1,000,000 = 27,000,000

2O + 2/3O + O + O - 1,000,000 = 27,000,000

4 2/3 O - 1,000,000 = 27,000,000

4 2/3 O = 28,000,000

O = 6,008,584

NC = 2O

NC = 2(6,008,584)

NC = 12,017,167

A = O - 1,000,000

A = 6,008,584 - 1,000,000

A = 5,008,584

NC = 3U

12,017,167 = 3U

U = 4,005,722

The populations of the four states are as follows:

- Utah has a population of 4 million.

- Oregon has a population of 6 million.

- North Carolina has a population of 12 million.

- Arkansas has a population of 5 million.

Let's denote the population of Utah, Oregon, and Arkansas as U, O, and A, respectively. According to the information given:

1. North Carolina has three times the population of Utah: [tex]\( NC = 3U \).[/tex]

2. North Carolina has twice the population of Oregon: [tex]\( NC = 2O \).[/tex]

3. Arkansas has 1 million people fewer than Oregon: [tex]\( A = O - 1 \).[/tex]

4. The total population of these four states is 27 million: [tex]\( U + O + A + NC = 27 \).[/tex]

From equations (1) and (2), we can equate the populations of Utah and Oregon since both are related to the population of North Carolina:

[tex]\( 3U = 2O \) or \( O = \frac{3}{2}U \).[/tex]

Now, substitute the value of O from equation (3) into the total population equation (4):

[tex]\( U + \frac{3}{2}U + ( \frac{3}{2}U - 1 ) + 3U = 27 \).[/tex]

Combine like terms:

[tex]\( U + \frac{3}{2}U + \frac{3}{2}U - 1 + 3U = 27 \),[/tex]

[tex]\( U + 3U + 3U - 1 = 27 \),[/tex]

[tex]\( 7U - 1 = 27 \).[/tex]

Now, solve for U:

[tex]\( 7U = 27 + 1 \),[/tex]

[tex]\( 7U = 28 \),[/tex]

[tex]\( U = \frac{28}{7} \),[/tex]

[tex]\( U = 4 \)[/tex] million.

Now that we have the population of Utah, we can find the populations of the other states:

[tex]\( O = \frac{3}{2}U = \frac{3}{2} \times 4 = 6 \)[/tex] million,

[tex]\( NC = 2O = 2 \times 6 = 12 \)[/tex] million,

[tex]\( A = O - 1 = 6 - 1 = 5 \)[/tex] million.

Answer:

(x - 2) (x +4)

Step-by-step explanation:

Find what two numbers multiplied make -8 and those same numbers will equal 2 when they are subtracted. So...

4 x -2 = 8

4 - 2 = 2

So, (x - 2) (x + 4)

Answer:

(2,-4)

Step-by-step explanation:

Answer:

The answer is 0.42525 TONS (METRIC)

Answer:

The answer is the third

S = 16 t²

Step-by-step explanation:

* Lets study the order pairs in C to find what is the relation

  between the input (t) and the output (S)

∵ C = {(t , S): (0 , 0) , (1 , 16) , (2 , 64) , (3 , 144) , .............}

∵ (0 , 0) is the first point

∴ There is no plus or minus in the relation between S and t

∴ We refused the last answer S = 16(t + 1)² because

  if t = 0 then S = 16(0 + 1) = 16 ≠ 0

- If we chose the first answer:

∵ S = 16t  

∵ t = 0 ⇒ S = 16(0) = 0 ⇒ its right

∵ t = 1 ⇒ S = 16(1) = 16 ⇒ its right

∵ t = 2 ⇒ S = 16(2) = 32 ⇒ its wrong

∴ We refused the first answer

- If we chose the second answer:

∵ S = (16t)²

∵ t = 0 ⇒ S = (16×0)² = 0 ⇒ its right

∵ t = 1 ⇒ S = (16×1)² = 256 ⇒ wrong

∴ We refused the second answer

- If we chose the third answer:

∵ S = 16 t²

∵ t = 0 ⇒ S = (16)(0)² = 0 ⇒ its right

∵ t = 1 ⇒ S = (16)(1)² = 16 ⇒ its right

∵ t = 2 ⇒ S = (16)(2)² = 16 × 4 = 64 ⇒ its right

∵ t = 3 ⇒ S = (16)(3)² = 16 × 9 = 144 ⇒ its right

∴ every time we multiply 16 by the square of the value of t

∴ We accept the third answer

?

Step-by-step explanation:

first you have to add the PIC to have us answer

Answer:

The answer is C, 220 units.

Answer: B: 23 3/4

Step-by-step explanation:

You have to multiply 4 3/4 by 5 in order to get your answer. Turn 4 3/4 into an improper fraction which would be 19/4. Then multiply it by 5; 19/4 times 5 equals 95/4. You then divide 95 by 4 which equals 23 3/4.

Answer:

Your answer is 23 3/4

Step-by-step explanation:

Answer:

Not, will be the same proportion but the amount vary depending the specific case.

Best regards

Answer:   A. Line segment

Step-by-step explanation:

A line is a one-dimensional geometric straight -undefined figure which has no thickness or depth . It extends infinitely in both directions.  

A line segment is a part of a line having end-points on both the sides.

It has only length therefore, it is one dimensional.

Thus , the objects is considered to be one-dimensional because it has length but no width or height is a line segment.

The triangle is 2-dimensional , point has no-dimensions,  and cube  is 3-dimensional.

A line segment is the correct answer, as in mathematics it is considered one-dimensional because it only has length but no width or height. It extends in one direction, unlike a triangle and a cube, which have more dimensions. The point does not have length.

In mathematics, a line segment is considered to be one-dimensional as it only possesses a property of length but no width or height. This means it only extends in one direction, often represented on a number line. In comparison, other options presented such as a triangle, point or cube have other dimensions involved. Specifically, a triangle falls in two dimensions as it has both length and width; a cube is a three-dimensional object possessing length, width, and height; and a point, though it lacks all three dimensions, is not accurate as it doesn't have length, which is the key criterion in the question.

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The student did not solve it correctly. They forgot to add the 5 foot height to the value of x.

The correct height is  23.4 feet, I know because I added 5 to the value of x.

Answer:

m<2 = 63

m<3 = 117

Step-by-step explanation:

<1 and <2 are alternate interior angles and are therefore equal. M<1 = 63 degrees,  so m<2 must be the same thing.

<2 and <3 are on the same straight line.

They are supplementary.

Therefore they equal 180 degrees.

63 + m<3 = 180                  Subtract 63 from both sides.

63 - 63 +m<3 = 180 - 63   Collect like terms

m<3 = 117

that is true if that's 1/3n=7/12

if it's 1/3n-7/12 then the first step is to equal it to zero

Yes, the second step in solving 1/3n = 7/12 is to divide both sides of the equation by 1/3.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.

We have the equation -

(1/3)n = (7/12)

We have -

(1/3)n = (7/12)

Dividing both sides by (1/3), we get -

[(1/3)/(1/3)]n = [7/12 x 3]

n = 7/4

Therefore, yes, the second step in solving 1/3n = 7/12 is to divide both sides of the equation by 1/3.

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Answer:

[tex]\large\boxed{D.\ y=-\dfrac{1}{5}x+\dfrac{32}{5}}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the slope m = -1/5. Substitute:

[tex]y=-\dfrac{1}{5}x+b[/tex]

Put the coordinates of the given point (-3, 7) to the equation:

[tex]7=-\dfrac{1}{5}(-3)+b[/tex]

[tex]7=\dfrac{3}{5}+b[/tex]            subtract 3/5 from both sides

[tex]6\dfrac{2}{5}=b\to b=\dfrac{6\cdot5+2}{5}=\dfrac{32}{5}[/tex]

Answer:

28 miles per gallon

Step-by-step explanation:

you divide 420 by 15 to see how many miles per gallon and

420 divided by 15= 28 (gallons)

28 miles I think I’m not sure but just divide 15 into 420 and you should get the answer.

Answer:

multiple 6 with numbers inside paranthesis:

12x - 66 + 15 = 21

add 66 fhen substrack 15 from both sides :

12x = 72 divide both sides with 12:

x = 6

Step-by-step explanation:

In his answer above he didn’t add 81 to both sides. (Somebody correct me if I’m wrong)

Answer:

5

Step-by-step explanation:

There are 9 friends with 4 or 5 pets so, you subtract 9-4 because there are 4 friends with 2 or 3 = 5 because the question is asking how many more.

Answer:

b

Step-by-step explanation:

3^0

Answer:

2

Step-by-step explanation:

Well it’s like, 20 percent of 100% percent it will always be two. I hope you understand am very hard at explaining

Answer:

2

Step-by-step explanation:

the answer would 4x+y+6=0

Answer:It is very easy to work out, you just have to put them into slope-intercept form which is y=mx+b

Step-by-step explanation:

Sophie drank 4 pints of water.

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➷The answer is 4.

She drank 4 pints of water.

Each cup is 1/2 of a pint, so you divide by 2

Therefore, you would get 4 pints of water.

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