f(x) is a function.
A. True
B. False

Answer:

If the cost of 3 notebooks is 30.30, we can infer the cost of one notebook is 10.10.

Step-by-step explanation:

[tex]10.10 * 15 = x[/tex]

[tex]10.10 * 15 = 151.5[/tex]

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We are asked to find the cost of 15 notebooks, given that the cost of 3 notebooks is 30.30.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

So we divide the cost of three notebooks (30.30) by 3:

[tex]\star~\large\pmb{30.30\div3}[/tex]

[tex]\star~\large\pmb{10.10}[/tex]

That's the cost of 1 notebook. Now, multiply that times 15 (we're asked to find the cost of 15 notebooks).

[tex]\star~\large\pmb{10.10\times15}[/tex]

This gives us:

[tex]\star~\large\pmb{151.5}[/tex]

That's the cost of 15 notebooks if the cost of one notebook is 10.10.

Hope it helps you out! :D

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questions:you have been offered a scholarships to further your studies in Australia

write a diary entry sharing your experience about it

The exact dimensions of the cone of largest volume that will fit inside the sphere will be 14.67 inches and 22✓2/3 inches.

From the information given, the height of the cone will be:

h = 11 + x

h = 11 + 3 2/3

h = 14 2/3 inches

The radius of the base of the cone will be:

= ✓121 - ✓121/9

= 2✓2(11)/3

= 22✓2/3

Therefore, the dimensions of the cone aren't 14.67 inches and 22✓2/3 inches.

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The solution of the fraction 5/8 +3/4 over -2/3 - 5/6 is -11/12

5/8 + 3/4 ÷ -2/3 - 5/6

(5+6) / 8 ÷ (-4-5) / 6

= 11/8 ÷ -9/6

= 11/8 ÷ -3/2

= 11/8 × 2/-3

= 22/-24

= -11/12

Therefore, the solution of the fraction 5/8 +3/4 over -2/3 - 5/6 is -11/12

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Answer:

yes

Step-by-step explanation:

yes, because there is a 99/1 chance. also, you can put 50 2010 coins in.

Based on the definition of supplementary angles, the measure of both angles are: 80° and 100°.

The sum of angles that are supplementary to each other equals 180 degrees.

Let the measure of the supplementary angle be x.

The other angle will be: x + 20.

(x + 20) + x = 180

x + 20 + x = 180

2x + 20 = 180

2x = 180 - 20

2x = 160

x = 160/2

x = 80°

The other angle will be x + 20 = 80 + 20 = 100°.

The measure of the angles are: 80° and 100°.

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The correct answer is option C which is 3 sets of 2 negative tiles.

Multiplication is the process of determining the product of two or more numbers in mathematics.

We have the product of 3 and -2. We can represent this as 3 is equivalent to -2 negative tiles.

When we add -2 three times -2 - 2 -2 = -6 we will get -6 that is 3 sets of 2 negative tiles.

So when we multiply it by 3, we end with 3 sets of 2 negative tiles. This is because the order of the factors does not change the product.

Therefore the correct answer is option C which is 3 sets of 2 negative tiles.

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The simplest form of the given expression (3x² + 4x - 8) - (-2x² + 4x + 2) will be  5x² - 10.

A quadratic equation is the second-order degree algebraic expression in a variable.

The standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We have been given an expression

(3x² + 4x - 8) - (-2x² + 4x + 2)

(3x² + 4x - 8 + 2x² - 4x - 2)

Solving like terms

5x² + 4x - 4x - 10

5x² - 10

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Answer:

it is 18

Step-by-step explanation:

Answer:

A = 26.35 mm²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 8.5 and h = 6.2 , then

A = 0.5 × 8.5 × 6.2 = 26.35 mm²

Step-by-step explanation:

1/2 ×bh

1/2×8.5×6.2

=26.35mm

The value of x for each radical equation is 243 , 125,8,256 respectively.

The correct question is attached as an image with the answer.

When in an equation the variable is under a radical it is called a Radical Equation.

It is given in the question that

which radical matches to the solution

[tex]\rm \sqrt[5]{x^4} = 81 \\\\\sqrt[3]{x^4} = 625\\\\\sqrt[3]{x^5} = 32\\\\ \sqrt[4]{x^3}=64[/tex]

[tex]\rm x^4 = 81^5\\x = 243[/tex]

[tex]\rm x^4 = 625^3\\x = 125\\[/tex]

[tex]x^5 = 32^3\\x = 8\\[/tex]

[tex]\rm x ^3 = 64^4\\x = 256[/tex]

Therefore for each radical the value of x is determined.

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The length of the fencing needed for the dog run will be 76 feet

The measure of the size of any object or the distance between the two endpoints will be termed the length.

Given that:-

Area of Dog Run = 240

Length of Dog Run = 30

The solution will be done as below:-

Width of Dog Run = 30 - x

Area of Dog Run:  30 * (30 - x) = 240

240 / 30 = 30 - x

8 = 30 - x

x = 24

Width of Dog Run = 8

How many feet of fencing will George need for the dog run?

Perimeter of Dog Run = 2Length + 2Width

Perimeter of Dog Run = (2 * 30) + (2 * 8)

Perimeter of Dog Run = 60 + 16

The perimeter of Dog Run = 76

Therefore the length of the fencing needed for the dog run will be 76 feet

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Answer:

C. 76 feet

Step-by-step explanation:

windows

The value of x and y is -0.0434 and -4.5652.

equation, statement of equality between two expressions consisting of variables and/or numbers.

given:

x - 4.5y=20.5

x + 4.7y= -21.5

Solving above two equation we have:

20.5+4.5y=-21.5-4.7y

42= -9.2y

y= -42/9.2

y= -4.5652

x=-0.0434

Hence, the value of x and y is -0.0434 and -4.5652.

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Based on the calculations, the exact area of this rectangle is equal to 16√3 + 32 mm².

Mathematically, the area of a rectangle can be calculated by using this formula:

Area = Length × Width

Note: Radius (R) is equal to 2 mm.

Joining the center of the circles would form an equilateral triangle with side length of 2R. Also, the height of the equilateral triangle is given by:

Height = √2R² - R²

Height  = √3R

For the length and width of this rectangle, we have:

Length = R + 2R + R

Length  = 4R

Width = 2R + height of equilateral triangle

Width = 2R + √3R

Width = (2 + √3)R

Therefore, the area of a rectangle becomes:

Area = 4R × (2 + √3)R

Area = 4(2 + √3) × R²

Area = 4(2 + √3) × 2²

Area = (8 + 4√3) × 4

Area = 16√3 + 32 mm² ≡ a√3 + b

In conclusion, a = 16 and b = 32.

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Step-by-step explanation:

you use Sin60 to find y because Sin60=

[tex] \frac{y}{8} [/tex]

[tex]~~(2I_2)A\\\\\\=2\begin{bmatrix} 1&0\\0&1 \end{bmatrix}\begin{bmatrix} 4&2\\3&-3 \end{bmatrix}\\\\\\=\begin{bmatrix} 2&0\\0&2 \end{bmatrix}\begin{bmatrix} 4&2\\3&-3 \end{bmatrix}\\\\\\=\begin{bmatrix} 8+0&4+0\\0+6&0-6 \end{bmatrix}\\\\\\=\begin{bmatrix} 8&4\\6&-6 \end{bmatrix}[/tex]

Answer:

[tex]7x[/tex]

Step-by-step explanation:

[tex]\text{Let,}~~\\\\~~~~~~~y = e^{\ln 7x}\\\\\implies \ln y = \ln \left(e^{\ln 7x} \right)\\\\\implies \ln y = \ln (7x) \ln e\\\\\implies \ln y = \ln (7x)\\\\\implies y = 7x\\\\\implies e^{\ln 7x} = 7x[/tex]

Let that be theta

Here perpendicular is lamp post and base is the shadow

Answer:

59.0° (nearest tenth)

Step-by-step explanation:

This can be modeled as a right triangle (see attachment).

To find the angle of elevation (marked as [tex]x[/tex] on the attached diagram), use the tan trig ratio:

Tan trigonometric ratio

[tex]\sf\tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

Substitute the given values into the formula and solve for x:

[tex]\implies \sf\tan(\theta)=\dfrac{10}{6}[/tex]

[tex]\implies \sf\theta=\tan^{-1}\left(\dfrac{10}{6}\right)[/tex]

[tex]\implies \theta = \sf 59.03624...^{\circ}[/tex]

[tex]\implies \theta = \sf 59.0^{\circ}\:(nearest\:tenth)[/tex]

Answer:

x=3

Step-by-step explanation:

We can use the slope formula to help complete this question

m = (y2-y1)/(x2-x1)

-1 = ( -6-0)/(x- -3)

-1 = -6/ (x+3)

Multiply each side by (x+3)

-x-3 = -6

Add 3 to each side

-x -3+3 = -6+3

-x =-3

Multiply each side by -1

x = 3

Answer:

  x = 3

Step-by-step explanation:

The given slope and point can be used to write the equation of the line using the point-slope form. To find x for a given y, we can solve that equation.

__

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For (h, k) = (-3, 0), and m = -1, the equation is ...

  y -0 = -1(x -(-3))

  y = -x -3

We want x when y = -6, so this becomes ...

  -6 = -x -3

Adding x+6 to both sides of the equation, we get ...

  (x +6) -6 = -x -3 +(x +6)

  x = 3 . . . . . . . simplify

Answer:

a

Step-by-step explanation:

I say you need to get mays age to even get lilacs age

The given function y = 2(x² - 1) is decreasing for all values in the domain and it has a horizontal asymptote along the x-axis so options (B) and (C) will be correct.

A certain kind of relationship called a function binds inputs to essentially one output.

The nature of the relationship between the variables that makes up a function, such as y = sinx and y = x +6, defines the function.

Given the function,

y = 2(x² - 1)

If we increase the value of x to positive then the denominator x² - 1 will go to increase and thus y will decrease.

If we increase the value of x in negative then denominator x² - 1 will go to increase and thus y will decrease.

Therefore it is decreasing for all values in the domain.

Now,

Lim at x tends to ∞ of function is 2/∞ = 0 so y = 0 means there is a horizontal asymptote along the x-axis.

Hence "The given function y = 2(x² - 1) is decreasing for all values in the domain and it has a horizontal asymptote along the x-axis".

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Answer:

56.52

Step-by-step explanation:

The formula for circumference is C=2πr

So, C=2(3.14)(9)

C=56.52 answer

A statement which best describes the function shown in the table is: B. exponential, there is a continual rate of decay or decrease.

An exponential function is a mathematical function whose numerical values (numerals) are generated by a constant that is raised to the power of an argument.

Given the following table:

X : -4        -1        2            4              5

Y :  16        2       0.25   0.0625    0.03125

Next, we would calculate the rate of decay for the y-values:

16/2 = 2/0.25 = 0.25/0.0625 = 0.0625/0.03125 = 8

Rule: The y-values constantly decreases by 1/4 or 0.25 of the previous number.

In conclusion, we can logically deduce that the function shown in the table is exponential, there is a continual rate of decay or decrease.

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Answer: It's B

Step-by-step explanation:

I got it right

Answer:

Concave octagon

Step-by-step explanation:

Concave octagon:

So, this is a concave octagon

Answer:

[tex] \frac{7}{2} [/tex]

Step-by-step explanation:

[tex] \frac{3! + 0!}{2! \times1! } = \frac{(3 \times 2 \times 1) + 1}{(2 \times 1) \times 1} = \frac{6 + 1}{2} = \frac{7}{2} [/tex]

Step-by-step explanation:

[tex] {x}^{2} + 8x + 7 \\ [/tex]

A slope is also known as the gradient of a line. The slope of the line is 1.4.

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

Natasha drew a line on the coordinate plane that passes through the point (15,13) and has a y-intercept of -8. Since the coordinate of a point on the line is known the value of the y-intercept is known, therefore, we can write,

13 = m15 - 8

13 + 8 = 15m

21 = 15m

m = 7/5 = 1.4

Hence, the slope of the line is 1.4.

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Answer:

d

Step-by-step explanation:

Comparing the graphs we understand :

⇒ g(x) is equal to f(x) when shifted down 2 units

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

Hence :

⇒ g(x) = f(x) - 2

⇒ g(x) = (x + 7)² - 2

Answer:

b

Step-by-step explanation:

Amount of tax you need to pay on a taxable income of $40,000 is,

= $6423.75

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

According to table, $40,000 falls in the 3rd category between $31,850 and $77,100

And, The tax is "$4,386.25 + 25% of amount over 31,850"

Hence, we have:

= $4,386.25 + 25% of (40,000 - 31,850).

= $4,386.25 + 0.25 x 8150

= $6423.75

Thus, Amount of tax you need to pay on a taxable income of $40,000 is,

= $6423.75

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