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Answer: y = -4x + 11

Step-by-step explanation:

y = mx + b

3 = -4(2) + b

3 = -8 + b

11 = b

Answer:

see explanation

Step-by-step explanation:

(4)

6 = hj + k ( subtract k from both sides )

6 - k = hj ( isolate j by dividing both sides by h )

[tex]\frac{6-k}{h}[/tex] = j

(5)

[tex]\frac{v}{w}[/tex] = 9 ( multiply both sides by w to clear the fraction )

9w = v ( divide both sides by 9 )

w = [tex]\frac{v}{9}[/tex]

(8)

A = [tex]\frac{1}{2}[/tex] bh ( multiply both sides by 2 to clear the fraction )

2A = bh ( divide both sides by h )

[tex]\frac{2A}{h}[/tex] = b

(10)

V = [tex]\frac{1}{3}[/tex] πr²h ( multiply both sides by 3 to clear the fraction )

3V = πr²h ( isolate h by dividing both sides by πr² )

[tex]\frac{3V}{\pi r^2}[/tex] = h

(12)

V = πr²h ( isolate r² by dividing both sides by πh )

[tex]\frac{V}{\pi h}[/tex] = r² ( take square root of both sides )

[tex]\sqrt{\frac{V}{\pi h} }[/tex] = r

Answer:

y= 2x + 9

Step-by-step explanation:

The length of the opposite side XY = 15.2cm

How to calculate the opposite side XY?

From the right- triangle XYZ,

[tex]sin \theta =\frac{opposite}{hypotenuse}\\\\sin 61 ^\circ=\frac{XY}{XZ} \\\\XY = sin 61 ^\circ *XZ\\\\XY = 0.875* 17.4 \\\\XY = 15.2cm[/tex]

The length of the opposite side XY = 15.2cm

What is opposite side of a right-triangle?

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Answer: y = 4/3 x - 5

Step-by-step explanation: trust me

Answer:

-170

Step-by-step explanation:

we are withdrawing so minus from original amount

Answer:

the answer is y<-17

Step-by-step explanation:

This is actually just like algebra.

y+8<-9

y<-9-8

y<-17

Number of students need to be sampled = 610

A study to determine the true average number of alcoholic drinks consumed by Greek students is conducted.

Standard Deviation, σ = 6.3

Margin Error of population mean, E = 0.5

Probability = 95% = 0.95

The p-value corresponding to 0.95 probability = (1+0.95)/2 = 0.975

The z-score corresponding to this p-value = 1.96 [from the z-tables]

Now, The margin error, E = zσ/√n, where n is the sample size

⇒ n = (zσ/E)²

⇒ n = (1.96 x 6.3/0.5)²

⇒ n ≈ 610

Hence 610 students need to be sampled.

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After applying the given translation we get the function as 3x + 5

Graph translation is the process of converting an equation or existing graph into a new graph.

One common type of algebraic issue is changing algebraic equations.

A parent function's graph is altered by a translation. The three different types of translation are dilations, reflections, and translations.

A function can have its y-values modified vertically or its x-values changed horizontally (affects the x-values).

We are aware that the x- and y-coordinates must be modified to reflect the translation by the specified amount.

f( x ) = 3x is translated 5 units upwards.

Therefore the required graph is f ( x ) = 3x + 5 .

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The total e-waste generated over these two years in the region, expressed in scientific notation, is B. 2.49 x 10^7 tons.

Scientific notation is a standard form of expressing a short or large number in a decimal form.

Scientific notation involves writing a number that is greater than 1 but less than 10 with the power of 10.

Correct scientific notations express numbers as products of a number between 1 and 10 multiplied by an appropriate power of 10 based on its place value in the given decimal.

Thus, the total e-waste generated cannot be expressed in scientific notation as Options A, C, or D because these do not comply with the rules of scientific notations, unlike Option B.

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The answer is A because it's a non-recurring decimal.

Answer: -3/4>-11/12

Step-by-step explanation:

its a negative so there's more of the -3/4 than the -11/12 because the -11/12 is 2 more units below the -3/4

Answer:

32

Step-by-step explanation:

A graph of the image of figure Q'R'S'T' after a dilation of 2 units about the origin is: graph C.

Dilation simply refers to a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

A scale factor can be defined as the ratio of two (2) corresponding length of sides or diameter in two similar geometric figures such as triangles.

Note: Each interval on this graph represents 1 unit.

For the given coordinates, the dilation with a scale factor of 2 about the origin or a center of dilation (0, 0) should be calculated as follows:

Point Q (-2, -1) → Point Q' (-2 × 2, -1 × 2) = Point Q' (-4, -2).

Point R (-1, 2) → Point R' (-1 × 2, 2 × 2) = Point R' (-2, 4).

Point S (1, 0) → Point S' (1 × 2, 0 × 2) = Point S' (2, 0).

Point T (2, -2) → Point T' (2 × 2, -2 × 2) = Point T' (4, -4).

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Number of biology book sold are 223.

Number of psychology books sold are 183.

In algebra, an equation is a declaration of equivalence that includes one or more variables or unknowable quantities.

Given Data

A textbook store sold a combined total of 392 biology and psychology textbooks in a week. the number of psychology textbooks sold was 48 less than the number of biology textbooks sold.

Let number of biology books sold be x

Let number of psychology books sold be (x- 48)

Total book sold = 392

392 = x + x - 48

392 + 48 = 2x

446 = 2x

x = 223

Number of biology book sold are 223.

Number of psychology books sold are 183.

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Answer:

34.1%, D

Step-by-step explanation:

To convert a number into a percent, you multiply it by 1, or more precisely, 100%. 100% can be thought of as 100 * 1%
0.341 * 100 * 1 %   = 34.1%

Answer:

Step-by-step explanat

The number of times Darlene mow her lawn before she needs more gasoline is equal to 18times.

As given in the question,

Total gasoline with Darlene is equal to 6 3/4 gallons

Convert mixed fraction into proper fraction:

6 3/4 = 27/4 gallons

Every time amount of gasoline used to mow her lawn = 3/ 8gallon

Number of times Darlene mow her lawn before she needs more gasoline

= (27 / 4) ÷ (3 /8)

= (27 /4) × (8/3)

= 18 times

Therefore, the number of times Darlene mow her lawn before she needs more gasoline is equal to 18times.

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Answer:

x=5

Step-by-step explanation:

2x + 5 = 15

2x5=10

5+10=15

Hopes this helps

Answer:

x = 5

Step-by-step explanation:

2x + 5=15       Set up equation

2x= 15-5         Put like terms together

2x= 10            Subtract like terms

x= 10/2           Isolate and divide

x= 5                Answer

Answer:

1953.125

Step-by-step explanation:

(12.5)³

= 12.5 × 12.5 × 12.5

= 1953.125

Answer: 1953.125

(12.5)³

so 12.5 multiplied to itself thrice

12.5x12.5x12.5

which is 1953.125

Answer: 4x^2 - 4xy + y^2 and the second one 9x^2 + 12x - 5

I hope this helps

Answer:

No

Step-by-step explanation:

Using a graph typing in 9x and looking at the table, (2,1) is not on the table, so (2,1) is not a solution to 9x

Answer:

No

Step-by-step explanation:

to determine if (2, 1 ) is a solution, substitute the x- coordinate into the equation and if the result is equal to the y- coordinate then it is a solution.

y = 9x ( substitute x = 2 )

y = 9 × 2 = 18 ≠ 1

then (2, 1 ) is not a solution to the equation.

The correct solution to the equation is -13.

-12x + 12 = -3(5x + 8)

Split the right-hand side,

-12x + 12 = -15x + 24 (This line have error, instead of + there will be - )

Shifted the values of x to the left-hand side and the constant values to the right-hand side,

3x + 12 = 24

3x = 12

x= 4, which is the incorrect value of x.

The correct solution to the equation,

-12x + 12 = -3(5x + 8)

Split the right-hand side,

-12x + 12 = -15x - 24

Shift the values of x to the left-hand side and the constant values to the right-hand side,

3x = -36

The final value of x,

x = -13

Therefore, the value of x is -13.

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Answer:2 blocks

Step-by-step explanation:

because  just trust me

Step-by-step explanation:

what I understood :

line s : y = -10x + 5/4

the slope is always the factor of x (here : -10).

a parallel lines must have the same slope.

line t : y = -10x + b

to get b we use the coordinates of the given point :

3 = -10×1 + b = -10 + b

13 = b

line t : y = -10x + 13