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Answer:

4/5 would be at the 8th line, and 3/10 would be on the 3rd

Step-by-step explanation:

Answer:

The filling speed of the aquarium is 1/5 meters per minute.

Step-by-step explanation:

Since it takes 1 4/5 minutes to fill an empty aquarium to a depth of 3/8 meters, to determine the unit rate in meters per minute, the following calculation must be performed:

4/5 = 0.8

3/8 = 0.375

1.8 = 0.375

1 = X

(1 x 0.375) / 1.8 = X

0.20 = X

0.20 = 1/5

Therefore, the filling speed of the aquarium is 1/5 meters per minute.

The grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.

Given that, ten cyclists were each asked the distance in miles they biked last week. The distance travelled by 10 cyclists is 3, 20, 6, 3, 7, 8, 13, 10, 18 and 12.

We need to complete the grouped frequency distribution for the data.

In this type, the data is arranged and separated into groups called class intervals. The frequency of data belonging to each class interval is noted in a frequency distribution table. The grouped frequency table shows the distribution of frequencies in class intervals.

Now, the frequency distribution for the given intervals is as follows:

That is, for intervals 1 to 5 the frequency is 2.

For intervals 5 to 10 the frequency is 4.

For intervals 11 to 15 the frequency is 2.

For intervals 16 to 20 the frequency is 2.

Therefore, the grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.

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Integers are numbers that can be written as positive values or negative values.

A deposit of $40 is written as 40 as an integer.

A loss of 25 pounds is written as -25 as an integer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3 - 4 x 5 + 4 is an expression.

We have,

Integers are numbers that can be written as positive values or negative values.

1. A deposit of $40

Deposits mean adding more money into the account so it will be a positive value.

This can be written as an integer as,

= 40

2. A loss of 25 pounds

Loss means subtracting from the total pounds.

This can be written as an integer as,

= -25

We see that,

40 and -25 are integers.

Thus,

A deposit of $40 is written as 40 as an integer.

A loss of 25 pounds is written as -25 as an integer.

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Answer: Hope that helps!

=13x+2y

Step-by-step explanation:

Combine Like Terms:

=4x+2y+9x

=(4x+9x)+(2y)

=13x+2y

Answer:

C) Reflection across the x-axis.

Step-by-step explanation:

From Linear Algebra we define the reflection across the x-axis is for [tex]P(x,y) =(x,y)[/tex]:

[tex]P'(x,y) = (x, -y)[/tex] (1)

If we know that [tex]A(x,y) = (-1, 2)[/tex], [tex]B(x,y) =(-1,5)[/tex], [tex]C(x,y) = (-3, 5)[/tex] and [tex]D(x,y) =(-3, 2)[/tex], then the reflected points are, respectively:

[tex]A'(x,y) = (-1, -2)[/tex]

[tex]B'(x,y) = (-1,-5)[/tex]

[tex]C'(x,y) = (-3,-5)[/tex]

[tex]D'(x,y) = (-3,-2)[/tex]

In consequence, Kim performed a reflection across the x-axis to create triangle A'B'C'D'. The correct answer is C.

This question is based on the reflection of x- axis. Hence the correct answer is C, reflection across the x-axis.

Given:

Transform  rectangle ABCD to rectangle A'B'C'D',

The vertices of rectangle ABCD is A(-1,2) B(-1,5) C(-3,5) D(-3,2).

The vertices of rectangle A'B'C'D is A'(-1,-2) B'(-1,-5) C'(-3,-5) D'(-3,-2).

We need to determined the transformation that Kim perform to create rectangle A'B'C'D.

From Linear Algebra we define the reflection across the x-axis is for,

P(x,y) = (x,y)

P(x,y) = (x,-y)                                .....(1)

It is given that  A(-1,2), B(-1,5), C(-3,5) and D(-3,2).

Therefore from equation (1)  above point becomes,

A'(x,y) = (-1,-2)

B'(x,y) =(-1,-5)

C'(x,y) =(-3,-5)

D'(x,y) =(-3,-2)

Therefore, It is observe that Kim performed a reflection across the x-axis to create triangle A'B'C'D'. Hence the correct answer is C, reflection across the x-axis.

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Answer:

Slope is -2

y intercept is -3

Equation :y=-2x-3

Step-by-step explanation:

Answer:

36  x 2 - 49 y 2

Step-by-step explanation:

6  x (6x) +6 x ( - 7 y ) + 7 y (6x) +7 y ( - 7 y)

Answer:

b

Step-by-step explanation:

probability can't be defined

Answer: 10 yards

Step-by-step explanation: 50% = 1/2

1/2 x 20 = 10

15 yeards mowed by Wednesday

Answer:

3.26 Euro I believe.

Step-by-step explanation:

Answer:

1080 boys

Step-by-step explanation:

2400 x 0.45 = 1080

Answer:

11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

g(x) = x³ - 4

h(x) = x² + 2

h(-2) is x = -2

g(-1) is x = -1

Step 2: Find h(-2) - g(-1)

Answer:

Step-by-step explanation:

Is there a picture

Your answer will be C

Answer:

k = 3.5

Step-by-step explanation:

Area of a rectangle = length × width

Area of the bigger triangle - Area of the smaller triangle = 35 cm²

Thus:

(2k + 6)(k) - (3)(k) = 35 cm²

2k² + 6k - 3k = 35

2k² + 3k - 35 = 0

Factorise

2k² + 10k - 7k - 35 = 0

2k(k + 5) -7(k + 5) = 0

(2k - 7)(k + 5) = 0

2k - 7 = 0

2k = 7

k = 3.5

Or

k + 5 = 0

k = -5

The value of k would be the positive number which is 3.5.

Answer:

50xy

Step-by-step explanation:

(2x)(5y)(5y)

~Simplify

(2x)(25y)

~Multiply

50xy

Best of Luck!

Answer:

x = 3

Step-by-step explanation:

Because yes

Step-by-step explanation:

2 X + X + 2 + X+2 + 4 X +1 = 4X + 3x +2 +2x

8X + 5 = 9 X +2

X= 3

Answer: It is B/Spinner 2

Answer:

you give $2 for admission so that is $3.50 now you can ride 2 games per ride and the total will be riding 7 games

Answer:

16000

Step-by-step explanation:

it works bebeaoc usfztbee jdxeevehe ue

answear is 7/17 hope its useful

Answer:

y = 1.2x - 3 (slope intercept form)

or

5y-6x = -15 (standard form)

Step-by-step explanation:

Two parallel lines have the same slope, which means that our line's slope, will also be 1.2.

we can use the formula to find the equation of the line:

y-y1 = m (x-x1)

y1 - y coordinate of a point on the line

x1 - x coordinate of the same point on the line

m - slope

and we get:

y+3 = 1.2 (x-0)

y = 1.2x - 3 (slope intercept form)

or

5y-6x = -15 (standard form)

[tex]f(x)=2x^2+6x-4[/tex]

Find the f(-5) by substituting x = -5 in the equation.

[tex]f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16[/tex]

Therefore, the answer is f(-5) = 16.

Answer:

We need 130 games to reach the goal

Step-by-step explanation:

Answer:

The equation of the polynomial in vertex form is [tex]y +8= (-2)\cdot (x-3)^{2}[/tex], its vertex is [tex](h,k) = (3, -8)[/tex].

The expression of the axis of symmetry is [tex]x = 3[/tex].

The y-intercept of the function is -26.

Step-by-step explanation:

The vertex form of the second order polynomial is defined by the following expression:

[tex]y-k = C\cdot (x-h)^{2}[/tex]  (1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]h,k[/tex] - Coordinates of the vertex, dimensionless.

[tex]C[/tex] - Vertex constant, dimensionless.

Let [tex]y = -2\cdot x^{2}+12\cdot x - 26[/tex], then we proceed to present the produre for the determination of the vertex form:

1) [tex]y = -2\cdot x^{2}+12\cdot x - 26[/tex] Given

2) [tex]y = (-1)\cdot (2\cdot x^{2})+(-1)\cdot (-12\cdot x) + (-1)\cdot (26)[/tex] [tex](-a)\cdot (-b) = a\cdot b[/tex]/[tex](-a)\cdot b = -a\cdot b[/tex]

3) [tex]y = (-1)\cdot (2\cdot x^{2}-12\cdot x +26)[/tex] Distributive property

4) [tex]y = [(-1)\cdot (2)]\cdot (x^{2}-6\cdot x +13)[/tex] Associative and distributive properties

5) [tex]y = (-2)\cdot [(x^{2}-6\cdot x+9)+4][/tex] [tex](-a)\cdot b = -a\cdot b[/tex]

6) [tex]y = (-2) \cdot [(x-3)^{2}+4][/tex] Perfect square trinomial

7) [tex]y = (-2)\cdot (x-3)^{2}+4\cdot (-2)[/tex] Distributive property

8) [tex]y = (-2)\cdot (x-3)^{2}+(-8)[/tex] [tex](-a)\cdot b = -a\cdot b[/tex]

9) [tex]y +8= (-2)\cdot (x-3)^{2}[/tex] Compatibility of addition/Existence of the additive inverse/Modulative property/Result.

The equation of the polynomial in vertex form is [tex]y +8= (-2)\cdot (x-3)^{2}[/tex], its vertex is [tex](h,k) = (3, -8)[/tex].

The axis of symmetry is a line perpendicular to axis in which the square component of the vertex form is set. The expression of the axis of symmetry is [tex]x = 3[/tex].

The y-intercept is the value of the polynomial when [tex]x = 0[/tex], then, the value is:

[tex]y = -2\cdot (0)^{2}+12\cdot (0) -26[/tex]

[tex]y = -26[/tex]

The y-intercept of the function is -26.

Answer:

40x- 16

Step-by-step explanation:

Because 4 times 10x is 40x and 4 times 4 is 16 so the answer is 40x-16

Answer:

40x-16

Step-by-step explanation: