The following stem and leaf plot shows the number of students at the local recreational center each day at 4 PM.
Which data set is represented by this plot?

Answer:

208.85

Step-by-step explanation:

It is 208.85 because when you have .8 + .05 =.85

Answer:

Step-by-step explanation:

the total amount of water used that day = 526.80 - 318.05 = 208.75 gallons.

Answer:

0=0

Step-by-step explanation:

Simply,there is no solution.

Answer:

x = 28.06

Step-by-step explanation:

-12.11-10.5=75.6-3.5x

Put all the integers on one side and X on the other.

-12.11 - 10.5 - 75.5 = -3.5x

-98.21 = -3.5x

-98.21/-3.5 = x

x = 28.06

Answer: 4 5/14

Step-by-step explanation:

The correct answer is: When triangle ABC is translated 2 units to the left and 1 unit down to create triangle A'B'C' , the coordinates for B' are (-1, 0). The true statement is D.

Let's analyze each statement:

A; When triangle ABC is reflected over the y-axis to create triangle A'B'C' , the coordinates for B' are (1, -1) .

To reflect over the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. If the coordinates for B are (x, y), then after reflecting, the x-coordinate becomes -x. Since B has coordinates (1, 1), after reflection, B' will have coordinates (-1, 1). So, statement A is false.

B; When triangle ABC is rotated 90 degrees clockwise about point A to create triangle A'B'C' , the coordinates for B' are (3,3]

Rotation of 90 degrees clockwise about a point involves swapping x and y coordinates and negating the new x-coordinate. The point A is not given, but assuming it's (0, 0), if B has coordinates (x, y), then after rotation, B' will have coordinates (y, -x). If A is (0, 0) and B is (3, 1), after rotation, B' will have coordinates (1, -3), not (3, 3). So, statement B is false.

C; When triangle ABC is dilated from the origin by a scale factor of 1/4 to create triangle A'B'C', the coordinates for B' are (4,4)

Dilating by a scale factor of 1/4 means multiplying each coordinate by 1/4. If B has coordinates (x, y), then after dilation, B' will have coordinates (1/4 * x, 1/4 * y). Since B has coordinates (4, 4), after dilation, B' will have coordinates (1, 1). So, statement C is false.

D; When triangle ABC is translated 2 units to the left and 1 unit down to create triangle A'B'C' , the coordinates for B' are (-1, 0)

Translation involves adding/subtracting values to x and y coordinates. If B has coordinates (x, y), then after translation by (-2, -1), B' will have coordinates (x - 2, y - 1). Since B has coordinates (1, 1), after translation, B' will have coordinates (-1, 0). So, statement D is true.

E; When triangle ABC is dilated from the origin by a scale factor of 5 to create triangle A'B'C', the coordinates for B' are (5,5)

Dilating by a scale factor of 5 means multiplying each coordinate by 5. If B has coordinates (x, y), then after dilation, B' will have coordinates (5 * x, 5 * y). Since B has coordinates (4, 4), after dilation, B' will have coordinates (20, 20), not (5, 5). So, statement E is false.

So, the true statement is D.

Answer

(8-2×2) to the power of 2 is 16

Work: 2×2=4

8-4=4

4 to the power of 2 =16

Answer:

144

Step-by-step explanation:

in pemdas always do parenthesis first so it will be 8-2x2= 144 because

Final answer:

In the expression 4(5 + x), the factors are 4 and (5 + x), which can be determined by understanding the distributive property of multiplication over addition.

Explanation:

The question asks, "What are the factors in the expression 4(5 + x)?" To understand this, we need to realize that a factor is something multiplied by another thing that results in a given expression. In this case, the factors of the expression 4(5 + x) are 4 and (5 + x). This is evident from the distributive property of multiplication over addition, which essentially breaks down the expression into its multiplied components. For instance, multiplying 4 by each term inside the parentheses (5 and x) would result in the same expression, 4×5 + 4*x, which shows that 4 and (5 + x) are indeed the factors of the given expression.

Answer: 5

Step-by-step explanation:

Range = highest value - lowest value

The highest value from the data set given = 1

The lowest value = -4

Therefore :

Range = 1 - (-4)

Range = 1 + 4

Range = 5

Step-by-step explanation:

Input:

Input is generally defined as the information that is sent or passed to a computer or the information what is taken.  The devices that are used to give or offer such information is know as Input devices.

For example:  

We usually use keyboard to type and give a specific data to the computer and hence it can be considered as an Input device.

Output:

Output is generally defined as the source of information that is received or processed by the computer or the information what is given back. The devices that are used to give back such information is know as Output devices.

Example:

Printers takes the input from us,process it and gives back the output in the form of printed sheets,Hence it can be considered as Output device.

The vertical asymptote of the function f(x) = 3 log(x + 3) is x = -3

Step-by-step explanation:

A symptote is a line that a curve approaches but never touches

∵ f(x) = 3 ㏒(x + 3)

∵ The argument is (x + 3)

- Equate the argument by zero

∵ x + 3 = 0

- Subtract 3 from both sides

∴ x = -3

- The vertical asymptote of a logarithmic function is at the zero

  of the argument

∴ The vertical asympotote of f(x) is x = -3

The vertical asymptote of the function f(x) = 3 log(x + 3) is x = -3

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Answer:

-3

Step-by-step explanation:

plato

Answer:

(0, 6)

Step-by-step explanation:

plug each x in and find the y

Answer:

(0, 6)

Step-by-step  explanation:

Answer:

  this sequence has no common ratio

Step-by-step explanation:

The ratios of successive terms are ...

  4/2 = 2

  8/4 = 2

  -16/8 = -2

  32/-16 = -2

  -64/32 = -2

2 is not the same as -2, so this sequence has no common ratio.

___

The sequence 2, -4, 8, -16, 32, -64 will have a common ratio of -2 using the same method to find it.

Answer:

3 quarters and 7 pennies

Step-by-step explanation:

You can write equations, but you can also use the trial and error method.

Guess 1:

1 quarter = 25 cents

82 - 25 = 57

57 pennies = 57 cents

25 cents + 57 cents = 82 cents

57 - 1 = 56

He has 56 more pennies than quarters, so this is not the answer.

Guess 2:

2 quarters = 50 cents

82 - 50 = 32

32 pennies = 32 cents

50 cents + 32 cents = 82 cents

32 - 2 = 30

He has 30 more pennies than quarters, so this is not the answer.

Guess 2:

3 quarters = 75 cents

82 - 75 = 7

7 pennies = 7 cents

75 cents + 7 cents = 82 cents

7 - 3 = 4

He has 4 more pennies than quarters, so this is the answer.

Answer: 3 quarters and 7 pennies

The boy has 3 quarters and 7 pennies.

To solve this problem, we can set up a system of equations. Let's say that the number of quarters the boy has is q. Since he has 4 more pennies than quarters, the number of pennies he has is q + 4. We know that 1 quarter is equal to 25 cents and 1 penny is equal to 1 cent. So, the total value of the coins can be expressed as 25q + (q + 4) = 82.

Simplifying the equation, we have 25q + q + 4 = 82.

Combining like terms, we get 26q + 4 = 82.

Subtracting 4 from both sides, we have 26q = 78.

Dividing both sides by 26, we find that q = 3. Therefore, the boy has 3 quarters and 3 + 4 = 7 pennies.

Answer:

[tex]\frac{7}{12}[/tex]  of an hour is remaining for Mariko's social studies class

Step-by-step explanation:

Given:

Total duration of Mariko's social studies class = 5/6 of an hour.

Only 3/12 of an hour has passed.

To Find:

Fraction of an hour remains for Mariko's social studies class =?

Solution:

Converting into minutes

5/6 of an hour =  [tex]\frac{5}{6} \times (60)[/tex]

=>[tex]\frac{300}{6}[/tex]

=>50 minutes

So the total duration of  Mariko's social studies = 50 minutes

If  3/12 of an hour passes means

Converting into  minutes

=>[tex]\frac{3}{12} \times 60[/tex]

=>[tex]\frac{180}{12}[/tex]

=>[tex]\frac{180}{12}[/tex]

=> 15 minutes

15 minutes has passed

Remaining time left is

50 minutes - 15 minutes = 35 minutes left

Now converting into 35 minutes into hours we get

=> [tex]\frac{35}{60}[/tex]

=>[tex]\frac{7}{12}[/tex]

Subtracting the time passed from the total class time gives us the remaining time. The calculation involves simplifying the time passed fraction and finding a common denominator to subtract fractions. In the end, we find that 7/12 of an hour remains for Mariko's social studies class.

This is a question about subtracting fractions to calculate remaining time. Mariko's social studies class lasts 5/6 of an hour and 3/12 of an hour has passed. To find out how much time remains, you need to subtract the time that has passed from the total class time.

First, you simplify the fraction of the time that has passed. 3/12 simplifies to 1/4, since 3 and 12 are both divisible by 3.

Then, you subtract 1/4 from 5/6 to calculate the time remaining. To do this, you need to find a common denominator, which is 12 in this case.

Converting 5/6 and 1/4 into twelfths gives you the fractions 10/12 and 3/12 respectively.

Then, subtract 3/12 from 10/12 which is 7/12.

So, the answer is 7/12 of an hour remains for Mariko's social studies class.

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Answer:

-40/33

Step-by-step explanation:

Answer:

-6/11 > -2/3

Step-by-step explanation:

6/11 = 18/33

2/3 = 22/33

Since 18/33 < 22/33  then 6/11 < 2/3 then -6/11 > -2/3

Answer:

Step-by-step explanation:

Answer:

2x+10

Step-by-step explanation:

-3x+5(x+2)

-3*x+5*x+5*2

-3*x+5*x+10

(-3+5)*x+10

(-2)*x+10

2x+10

Answer:

7 - 3[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Given

3 + [tex]\sqrt{x+7}[/tex] - [tex]\sqrt{3x}[/tex] ← substitute x = 9

= 3 + [tex]\sqrt{16}[/tex] - [tex]\sqrt{27}[/tex]

= 3 + 4 - [tex]\sqrt{9(3)}[/tex]

= 7 - 3[tex]\sqrt{3}[/tex]

Answer:

200 = 20

470 47

The number of year 10 students over the total number of students

Hence, the value of the expression is 36.

Solution:

Step 1: Given expression is [tex]4(10-4)^{2} \div 4[/tex].

BODMAS means do Bracket, Of, Division, Multiplication, Addition, Subtraction

Step 2: Using BODMAS rule first simplify the expression which is in bracket.

⇒ [tex]4(10-4)^{2} \div 4=4(6)^2\div4[/tex]

Step 3: Squaring of the number 6.

⇒ [tex]4(6)^2\div4=4\times36\div4[/tex]

Step 4: Using BODMAS rule, divide 36 by 4.

⇒ [tex]4\times36\div4=4\times9[/tex]

Step 5: Using BODMAS rule, multiply 4 with 9.

⇒ [tex]4\times9=36[/tex]

Hence, the value of the expression is 36.

50 square meters is equal to 77500 square inches

Solution:

Given that we have to convert 50 square meters to square inches

Use the following conversion factor

1 meter is equal to 39.3701 inch

That is,

[tex]1\ meter = 39.3701\ inch[/tex]

Now frame the conversion factor for square meters to square inches

[tex]1\ meter\ \times meter = 39.3701 \times 39.3701\ inch\ \times inch\\\\1\ m^2 = 1550\ in^2[/tex]

Now convert 50 square meters to square inches

Muliply both the sides by 50

[tex]1 \times 50\ m^2 = 1550 \times 50\ in^2\\\\50\ m^2 = 77500\ in^2[/tex]

Thus 50 square meters is equal to 77500 square inches

Answer:

[tex]\frac{2}{5}[/tex](3 + y)

Step-by-step explanation:

Answer:

25) If f(x) = sin ([1/3] x) , find f(π/2).

Substitute with x = π/2

f(π/2) = sin ([1/3] *[π/2]) = sin (π/6) = 1/2

======================================

26) If f(x) = cos (2x) , find f(3π/4).

Substitute with x = 3π/4

f(3π/4) = cos ( 2 * 3π/4) = cos ( 3π/2) = zero.

======================================

27) If f(x) = sin (2x) + cos (3x) , find f(π/4)

Substitute with x = π/4

f(π/4) = sin ( 2 * π/4) + cos ( 3 * π/4) =

        = sin ( π/2) + cos ( 3π/4)

        =  1  - 1/(√2)

        = 0.293

======================================

28) f(x) = tan (5x) - sin (2x) , find f(π/6).

Substitute with x = π/6

So, f(π/6) = tan (5 * π/6) - sin ( 2 * π/6)

               = tan (5π/6) - sin (π/3)

               = -1/(√3) - (√3)/2

                = -1.443

Answer:

The migration of the African-Americans to Harlem in the USA empowered the African-Americans in the society in the early 1900s. This was one of the greatest accomplishments of the African-Americans in history.

Explanation:

The "Harlem Renaissance" was originally called the "New Negro Movement." During the "Reconstruction Era," many of the African Americans felt a newfound empowerment in the society. They started leaving the South, where most of them were enslaved and maltreated. Many of them moved to other places such as "Harlem" in New York City. It became an ideal destination for many "Negros" and their number increased over time. This then became an African-American neighborhood.

African-Americans started producing plays with actors of their descent. Several Negro poets emerged describing the life of the African-Americans. Negros became more literate and able when it comes to expressing themselves in the society. They even had their own newspaper known as "The New Negro Movement."

Answer:

The number of cows in farmhouse shelter is 16

The number of chickens in farmhouse shelter is 2   .

Step-by-step explanation:

Total number of animals in farmhouse shelters = 18

Total number of legs of both animals = 68 legs

Let The number of cows = C

Let The number of chickens = c

∵  the number of legs does each cow has = 4

And, The number of legs does each chicken has = 2

According to question

∵Total number of animals in farmhouse shelters = 18

i.e number of cows + number of chickens = 18

Or, C + c = 18                       .....1

Again

∵ Total number of legs of both animals = 68 legs

i.e  number of cows × number of legs does each cow has + number of chickens × number of legs does each chicken has = 68

Or, C × 4 + c × 2 = 68

i.e 4 C + 2 c = 68                     ........2

Solving eq 1 and eq 2 , we get

(4 C + 2 c ) - 2 × (C + c) = 68 - 2 × 18

Or, (4 C - 2 C) + (2 c - 2 c) = 68 - 36

Or, 2 C + 0 = 32

∴  C = [tex]\dfrac{32}{2}[/tex]

i.e C = 16

So, The number of cows in farmhouse shelter = C = 16

Again

Put the value of C into eq 1

∵ C + c = 18

Or, c = 18 - C

Or, c = 18 - 16

i.e c = 2

So, The number of chickens in farmhouse shelter = c = 2

Hence, The number of cows in farmhouse shelter is 16 and The number of chickens in farmhouse shelter is 2   . Answer

Debra needs 126 cups of fertilizer for her garden.

To solve this problem, we need to follow these steps:

1. Calculate the area of Debra's rectangular garden.

2. Convert the area from square yards to square feet.

3. Determine the total amount of fertilizer needed in cups.

Let's start:

1. Calculate the area of the rectangular garden:

  Length = 9 1/3 yards

  Width = 12 yards

  Area = Length × Width

       = (9 1/3) × 12

  First, let's convert 9 1/3 to an improper fraction:

[tex]\( 9 \frac{1}{3} = \frac{(9 \times 3) + 1}{3} = \frac{27 + 1}{3} = \frac{28}{3} \)[/tex]

  Now, multiply the fractions:

  Area = [tex]\( \frac{28}{3} \times 12 \)[/tex]

       = [tex]\( \frac{28 \times 12}{3} \)[/tex]

       = [tex]\( \frac{336}{3} \)[/tex]

       = 112 square yards

2. Convert the area from square yards to square feet:

  1 square yard = 9 square feet

  Area in square feet = 112 square yards × 9

                      = 1008 square feet

3. Determine the total amount of fertilizer needed in cups:

  Given that 1/8 cup of fertilizer is needed per square foot.

  Total cups of fertilizer = Area in square feet × (1/8)

                           = 1008 × (1/8)

                           = 126 cups

So, Debra needs 126 cups of fertilizer for her garden.

Answer:

the third one

Step-by-step explanation:

hope it helps

Can y’all help me I have no points and what is 5/7times28

Step-by-step explanation: