Deondra is 1.35 meters tall. At 10 a.m., she measures the length of a tree's shadow to
be 35.25 meters. She stands 31.2 meters away from the tree, so that the tip of her
shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest
hundredth of a meter.

1. x + 4 = 0 or x + 7 = 0

x = -4 or x = -7

2. 3x - 7 = 0 or 2x + 5 = 0

x = 7/ 3 or x = -5/ 2

3. x + 5 = 0 or x -8 = 0

x = -5 or x = 8

4. (x - 6) = 0 or (3x + 7) = 0

x = 6 or x = -7/ 3

5. 5x + 2 = 0 or 2x + 1 = 0

x = -2/ 5 or x = -1/ 2

1. (x+4)(x+7)=0

We have that;

Zero product property;

x + 4 = 0 or x + 7 = 0

x = -4 or x = -7

2.  (3x-7)(2x+5)=0

We have that;

Zero product property ;

3x - 7 = 0 or 2x + 5 = 0

x = 7/ 3 or x = -5/ 2

3. x² -3x - 40=0

x² -8x + 5x - 40 = 0

factorize the common multipliers

x(x - 8) + 5(x - 8) = 0

Zero product property;

x + 5 = 0 or x -8 = 0

x = -5 or x = 8

4. 3x² - 11x - 42=0

3x² +7x - 18x - 42 = 0

Factorize further

x(3x + 7) - 6(3x + 7) = 0

Zero product property;

(x - 6) = 0 or (3x + 7) = 0

x = 6 or x = -7/ 3

5. 10x² + 9x + 2 = 0

10x² + 5x + 4x + 2 = 0

Factorize

5x( 2x + 1) + 2 (2x + 1) = 0

Zero product property;

5x + 2 = 0 or 2x + 1 = 0

x = -2/ 5 or x = -1/ 2

Thus, the zero product property states that the product of two non-zero elements is not zero

Learn more about zero product property here:

https://brainly.com/question/1626209

#SPJ1

Answer:

A.

         √10 ≈ 3

          2 × 3 ≈ 6

         √25 = 5

         √4 = 2

          5 × 2 = 10

         [tex]\frac{300}{3}=100\\\sqrt{100}\\100=10^2\\\sqrt{10^2}\\\sqrt{10^2}=10[/tex]

         [tex]1000=10^3\\\sqrt[3]{10^3}\\\sqrt[3]{10^3}=10(\mathrm{Radical\:rule)}\\[/tex]

Thus,

option A. is correct.

Rodolfo, Rena y Ricardo se encuentran después de 6 minutos en la salida si todos comienzan su viaje desde el mismo punto.

Rodolfo tarda unos 4 minutos en dar la vuelta a la manzana.

Ricardo tarda 5 minutos en dar la vuelta a la manzana.

Rena tarda 6 minutos en dar la vuelta a la manzana.

Digamos que los tres comienzan el viaje desde el mismo punto A.

Rena tarda 6 minutos, Ricardo tarda un minuto menos que Rena y Rodolfo tarda 2 minutos menos que Rena.

Por lo tanto,

Rena es la que más tarda en dar la vuelta a la manzana y será la última en salir.

Por lo tanto, Rodolfo, Ricardo y Rena se encontrarán después de 6 minutos en la salida.

Todas se reúnen después de 6 minutos en la salida.

Obtenga más información sobre los minutos aquí:

https://brainly.com/question/819467

#SPJ9

Step-by-step explanation:

If you multiply two real numbers, you will get another real number. There is no possibility of ever getting anything other than another real number.

Among the subsets of the real number system, the set of irrational numbers is not closed under multiplication.

We have,

Real Numbers: The set of real numbers is closed under multiplication. When you multiply two real numbers, the result is always a real number. For example, multiplying any two real numbers, such as 3.14 and 2.5, gives 7.85, which is also a real number.

Whole Numbers: The set of whole numbers is closed under multiplication.

When you multiply two whole numbers, the result is always another whole number. For example, multiplying 3 and 5 gives 15, which is also a whole number.

Integers: The set of integers is closed under multiplication.

When you multiply two integers, the result is always another integer.

For example, multiplying -4 and 7 gives -28, which is also an integer.

Rational Numbers: The set of rational numbers is closed under multiplication.

When you multiply two rational numbers, the result is always another rational number.

A rational number can be expressed as a fraction p/q, where p and q are integers and q is not zero.

When you multiply two fractions, the numerator and denominator are both integers and as long as the denominator is not zero, the result will still be a rational number.

However, the set of irrational numbers is not closed under multiplication.

An irrational number is a number that cannot be expressed as a fraction of two integers.

When you multiply two irrational numbers, the result may or may not be irrational.

Example:

√2 (square root of 2) is an irrational number, and √2 * √2 = 2, which is a rational number (integer 2).

So, the product of two irrational numbers (√2 * √2) is a rational number, not an irrational number.

Thus,

All subsets of the real number system (real numbers, whole numbers, integers, and rational numbers) are closed under multiplication, except for the subset of irrational numbers, which is not closed under multiplication.

Learn more about numbers here:

https://brainly.com/question/17429689

#SPJ7

Answer: -r(8r^3-2r-3)

Step-by-step explanation:

Answer:

1/2 y > 22

Solved: y > 44

Step-by-step explanation:

We are trying to write an inequality

One-half of a number y

1/2 y

is more than

>

22

1/2 y > 22

Solving the inequality

Multiply each side by 2

1/2y * 2 > 22*2

y > 44

Answer:

4 years old

Step-by-step explanation:

3x = x + 8

2x = 8

x = 4

Answer:

4 y/o

Step-by-step explanation:

x = age now

  add 8 years

x+8    and this equals   3 times as old as he is now, or  3x

x+8 = 3x       subtract 'x' from both sides

8 = 2x           divide both sides by 2

x = 4 y/o

Answer:

1.  -10x+36

2.  24x+121

3.  2x-8xy+32y

4.  50x-10xy+y^2

Step-by-step explanation:

i think dis right

Answer:

see explanation

Step-by-step explanation:

using the following expansions

a² + 2ab + b² = (a + b)²

a² - 2ab + b² = (a - b)²

1

x² - 12x + 36

with a = x and b = 6 , then

x² - 12x + 36 = x² - 2(x)(6) + 6² = (x - 6)²

2

x² + 22x + 121

with a = x and b = 11 , then

x² + 22x + 121 = x² + 2(x)(11) + 11² = (x + 11)²

3

x² - 8xy + 16y²

with a = x and b = 4y , then

x² - 8xy + 16y² = x² - 2(x)(4y) + 16y² = (x - 4y)²

4

25x² - 10xy + y²

with a = 5x and b = y , then

25x² - 10xy + y² = 25x² - 2(5x)(y) + y² = (5x - y)²

Answer:

The width of Tyrone's actual patio is 16 feet

Step-by-step explanation:

[tex]\frac{2ft}{1in}[/tex] =  [tex]\frac{x}{8}[/tex]   If we look at what we know, we see that the scale tells us that 1 inch is proportional to 2 ft.  What do we need to multiple 1 inch by to get 8 inches?  8.  So, we multiply 2 feet by 8 to get the actual size of the patio which is 16 feet.

Answer:

81

Step-by-step explanation:

Red marbles = r

Black marbles = b

Red : Black

60  :   40

  r   :   b              

40r = 60b

r = (60/40)b

Red : Black

 4   :    3

 r    :  b + 9        

3r = 4(b+9)

3r = 4b + 36

3((60/40)b) = 4b + 36

(9/2)b = 4b + 36

(9/2)b - 4b = 36

(1/2)b = 36

b = 72  This is the original amount of black marbles

They added 9 after this, so

72 + 9 = 81

From the rule for when a relation represents a function, we have that:

16) Is not a function.

17) Is a function.

18) Is not a function.

A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

More can be learned about relations and functions at https://brainly.com/question/12463448

#SPJ1

The number of days on Earth, in decimal form that, are equivalent.to 9 years on Venus will be 2022.3 days.

From the information, one year on Venus is equivalent to 224.7 days on Earth.

Therefore, the number of days on Earth, in decimal form that, are equivalent to 9 years on Venus will be:

= 224.7 × 9

= 2022.3 days.

Learn more about decimals on:

brainly.com/question/1827193

#SPJ1

Answer:

2022.3

Step-by-step explanation:

Answer:

My prediction of the sum is 0.

Hope this helps :)

Step-by-step explanation:

It is 0 because if you owe 2 dollars and you pay it back with 2 dollars then you have 0 dollars owed.

--------------------> 2nd: 2 (positive two - move right)

<-------------------- 1st: - 2 (negative two - move left)

<----------l----------l-----------l----------l----------l--------->

-2 -1 0 1 2

Answer:

Part A: School A Interquartile range = 9.5. School B Interquartile range = 7.5

Part B: There are no outliers present for either data set.

Step-by-step explanation:

For Part A, school A interquantile range is 9.5. Five number summary of school A is minimum = 6, quarantine q1= 6.5, median = 14, quarantine q3 = 16, and maximum = 17. Calculate Q3-Q1 = 16 - 6.5 which gives you 9.5

For School B, the interquartile range is 7.5. Five number of summary of school B is minimum = 5, quarantine q1 = 8, median = 12, quarantine q3= 15.5, maximum = 19. IQR Range = Q3-Q1 = 15.5 - 8. Which gives you 7.5

For Part B: All the outcomes of school A in between the values of -7.75 and 30.25. So this means there is no outliers in school A. For school B, all the outcomes of school B in between the values of -3.25 and 26.75. So there are no outlines in school B.

Answer: 49,000  molecules = 4.9*10⁴  molecules

Step-by-step explanation:

49,000=

49*10³=

4.9*10⁴ molecules

 y =  -3 ( x - 1 )² + 9 is  quadratic function in standard form Vertex .

How does a parabola's vertex shape work?

given ,   Vertex =  (1,9)

              point =  (4,6)

The formula is  

              y = a + ( x - h )²  + k

where  h = 1  , k = 9

then    y = a ( x - 1 )² + 9

Find the value of

a when one of the points is  ( 4,6)

  6 = a ( 4 - 1 )²  +  9

  6 - 9 = 9a  

    -3  = 9a

     a =  -9/3  ⇒ -3

put value of a

 y = a ( x - 1 )² + 9

 y =  -3 ( x - 1 )² + 9

Learn more about Vertex

brainly.com/question/12563262

#SPJ9

The inequality is 16 + 5t ≥ 61 and it takes 9 minutes or more minutes to fill the tank with at least 61 liters of waters.

Inequality:

Inequality is defined as a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given,

Latoya's fish tank has 16 liters of water in it. she plans to add 5 liters per minute until the tank has at least 61 liters.

Here we need to find the possible numbers of minutes Latoya could add water and we have to find the inequality also.

Let t be the number of minutes.

So, now we can start with 16 liters and every minute (t) you plan to add 5, the final product will have at least (≥) 61 so the equation would be:

=> 16 + 5t ≥ 61

=> 5t ≥ 61 - 16

=> 5t ≥ 45

=> t ≥ 45/5

=> t ≥ 9

So, Latoya need 9 minutes or more to fill the tank with at least 61 liters.

To know more about Inequality here

https://brainly.com/question/20383699

#SPJ4

Answer:

13.01

Step-by-step explanation:

The zero next to the 7 is the hundredths place.

13.007

Drop the 7.

Now you have 13.00

Since 7 is from 5 to 9, the last zero goes up 1 to 1.

Answer: 13.01

Answer:

13.01

Step-by-step explanation:

13.00|7

When the number is 5 or higher round up

13.01

After simplifying the expression, - ( 7 x - 3 y ) + 2 ( 3/4 x + 1/2 y), we get the result as - 11 / 2 x + 4 y.

- ( 7 x - 3 y ) + 2 ( 3/4 x + 1/2 y)

First we will multiply 2 and open the brackets.

So, we get that:

- 7 x + 3 y + 3/2 x + y

Combining the like terms, we get that:

= ( - 14 + 3 ) x / 2 + 3 y + y

Simplifying and solving the expression to obtain the result, we get that:

= - 11 / 2 x + 4 y.

Therefore, after simplifying the expression, - ( 7 x - 3 y ) + 2 ( 3/4 x + 1/2 y), we get the result as - 11 / 2 x + 4 y.

Learn more about expression here:

https://brainly.com/question/723406

#SPJ9

Law of Detachment can't be applied here.

The Law of Detachment says that we must detach ourselves from the result or outcome in order to allow what we desire to materialize in the physical universe. When we have done our part, we must learn to let go of the outcome for things to materialize. And once we do let go, it's when things materialize.

Given:

If you can play the piano, then you can play a musical instrument.

kiyo can play a musical instrument.

So, as Kiyo can play a musical instrument, that does not necessary mean he can play a piano.

There could be any other musical instrumental, not only piano.

So, the hypothesis do not have to be true.

Hence, the condition is not fulfilled,  Law of Detachment can't be applied here.

Learn more about Law of Detachment  here:

https://brainly.com/question/13966470

#SPJ4

Answer:

a , b , e , f

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

find slope between     0,1     and   10, -49

  m =  (-49-1) / (10-0) = -5

slope intercept form

  y = mx + b

  y = -5 x +1    re=arrange

5x + y = 1

The maximum resultant intensity in terms of the intensity of the initial unpolarized incoming light I₀ is given as -

Polarization is the property of wave oscillations having a definite direction relative to the wave's propagation direction. Transverse waves that can be polarized are EM waves. The polarization direction is defined as the direction parallel to the EM wave's electric field.

The effect of a polariser on polarised light is described by Malus' law, which states that-

To know more about the polarization, here

https://brainly.com/question/3092611

#SPJ4

The correct question is -

What is the maximum resultant intensity in terms of the intensity of the initial unpolarized incoming light I₀.

Answer:

D

Step-by-step explanation:

Integers found in:

A: -5, 9/3 = 3

B: 4

C: -12

Hope this helped! ^^

Step-by-step explanation:

So for questions 1 through 4, you're basically finding the number in the middle of the two letters. In question 1, D is above 7 on the number line and E is above 11. The mid-point would be 9.

For 5 and 6, we'll be using this formula: [tex](\frac{x_{1} + x_{2}}{2},\frac{y_{1} + y_{2}}{2})[/tex]

And now we just plug in the numbers from question 5 but it works the same way on 6 as well.

[tex](\frac{3 + 5}{2},\frac{1 + 3}{2})[/tex]     => (8/2, 4/2)

Coordinate of the midpoint would be (4, 2).

Lastly, we follow this system in order to get the final answers:

(Answer below shown for question 7)

(x + 2)/2 = 5

x + 2 = 10

x = 8

(y + 0)/2 = 2

y + 0 = 4

y = 4

Missing endpoint is (8, 4)

Mean > median, the distribution is skewed to the right.

So,

Therefore, mean > median, the distribution is skewed to the right.

Know more about mean here:

https://brainly.com/question/1136789

#SPJ4

The correct question is given below:
A survey was conducted from a random sample of 8225 Americans, and one variable that was recorded for each participant was their answer to the question, "How old are you?" The mean of this data was found to be 42, while the median was 37. What does this tell you about the shape of this distribution?

Using translation concepts, the note E would be louder with a higher amplitude of y, hence constant a has to be multiplied by a positive constant greater than 1.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, the function is given by:

y = asin(1320πx)

The intensity of a sound is given by it's amplitude a, hence, to make the sound stronger, we need to vertically stretch the graph of y, which is done when constant a is multiplied by a positive constant greater than 1.

More can be learned about translation concepts at https://brainly.com/question/28416763

#SPJ1

Answer:

42 is your answer

Step-by-step explanation:

-lukelaws hope i helped if i did please make me brainliest if i got it wrong i am so sorry

Answer:

Terms of a Polynomial

So, each part of a polynomial in an equation is a term. For example, in a polynomial, say, 2x2 + 5 +4, the number of terms will be 3.