You roll 3 dice, how big is the probability that the sum of the dice is lower than 7?

Answer:

Step-by-step explanation:

A relation is a function if every input has exactly one output. The domain and range of a relation that is not a function can have multiple outputs for a single input.

1. A relation is considered a function if every input has exactly one output. To determine if the relation on the right is a function, we can examine the x-values and see if any are repeated. If there are no repeated x-values, then it is a function. If there are repeated x-values, then it is not a function.

2. A relation that is not a function can have multiple outputs for a single input. The domain of a relation refers to the set of all possible input values, while the range refers to the set of all possible output values. Without the relation provided, it is not possible to state the specific domain and range.

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Answer:

-3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

0.6x17.5 which is 10.5

Answer:

DX wonder if if you want to come over and watch the way to the way to the way to the way to the way to the way to work I you you you can send me the way to the way to the way to the way to the way to the way home now I will be more than enough for me for all of us her

Answer:

9 Km a su casa

Step-by-step explanation:

0j

Answer: $14

Step-by-step explanation:

We know that Ruben spends $5 on candy, and saves $7 for college. If we add these together we get 12. Remaining: $2, which he donates to a children’s hospital. So 7+5+2=14, so Ruben has a weekly allowance of $14.

Answer: it should be -27

Step-by-step explanation:

Step-by-step explanation:

f(x) = -7x² - x

g(x) = 9x² - 4x

(f - g)(x) = (-7x² - x) - (9x² - 4x)

(f - g)(x) = (-7x² - 9x²) + (-x + 4x)

(f - g)(x) = -16x² + 3x

(f - g)(1) = -16(1)² + 3(1)

(f - g)(1) = -16.1 + 3

(f - g)(1) = -16 + 3

(f - g)(1) = -13

Let a ∈ A. Then a is some integer that is divisible by 4, so we can write a = 4k for some integer k.

We can simultaneously rewrite a as a = 2•2k, so 2 clearly divides a, which means a ∈ B as well.

Therefore A ⊆ B.

Answer:

14.88 kilometers per liter.

Step-by-step explanation:

^

Answer:

4x−y=−3

Step-by-step explanation:

The standard form of a linear equation is Ax+By=C

Rewrite the equation with the sides flipped.

4x+3=y

Move all terms containing variables to the left side of the equation.

Subtract y from both sides of the equation.

4x+3−y=0

Move 3

4x−y+3=0

Subtract 3 from both sides of the equation.

4x−y=−3

Answer:

4x - y = -3

Step-by-step explanation:

Rearrange the equation.

y = 4x + 3

0 = 4x +3 - y

-3 = 4x - y

Answer:

0.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

what is 10/7 divided by 4

10/7 : 4 =

10/7 * 1/4 =

5/14

Step-by-step explanation:

[tex] = { (- 12)}^{ - 2} [/tex]

[tex] = \frac{1}{ {( - 12)}^{2} } [/tex]

[tex] = \frac{1}{ {12}^{2} } \: or \: \frac{1}{144} [/tex]

Answer:

3

Step-by-step explanation:

By applying the exponential and logarithmic functions, we have

[tex]x^{\sin(x)} = \exp \left(\ln \left(x^{\sin(x)}\right)\right)[/tex]

Then in the limit,

[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \lim_{x\to0} \exp \left(\ln \left(x^{\sin(x)}\right)\right)[/tex]

[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp \left( \lim_{x\to0} \ln \left(x^{\sin(x)}\right)\right)[/tex]

[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp \left( \lim_{x\to0} \sin(x) \ln(x) \right)[/tex]

[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp \left( \lim_{x\to0} \frac{\ln(x)}{\csc(x)} \right)[/tex]

As x approaches 0 (from the right), both ln(x) and csc(x) approach infinity (ignoring sign). Applying L'Hopitâl's rule gives

[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp \left( \lim_{x\to0} \frac{\frac1x}{-\csc(x)\cot(x)} \right) = \exp \left( -\lim_{x\to0} \frac{\sin^2(x)}{x\cos(x)} \right)[/tex]

Recall that

[tex]\displaystyle \lim_{x\to0} \frac{\sin(x)}{x} = 1[/tex]

Then

[tex]\displaystyle \lim_{x\to0} \frac{\sin^2(x)}{x\cos(x)} = \lim_{x\to0} \frac{\sin(x)}{\cos(x)} = \lim_{x\to0} \tan(x) = 0[/tex]

So, our limit is

[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp(0) = \boxed{1}[/tex]

Answer:

750 paise

Step-by-step explanation:

just remove the decimal!

Answer:

12 long sleeved

Step-by-step explanation:

30 / 5 = 6

6 x 2 = 12

Answer:

12

Step-by-step explanation:

The 5 part of the ratio relates to 30 short- sleeved shirts.

Divide by 5 to find the value of 1 part of the ratio

30 ÷ 5 = 6 ← value of 1 part , then

2 parts = 2 × 6 = 12 ← long- sleeved shirts

the answer is 3,000

4% × 25 = 100%

$120 × 25 = $3000

Answer:

$33333.33

Step-by-step explanation:

Suppose x invested into the bank account that pays 4% simple Interest

5x4%x+5x6.4%(50000)= 12000 { The interest due is equal to interest}

4x+6.4x50000-6.4x=240000

2.4x=80000

x=33333.33

Step-by-step explanation:

Do not know sorry

........ M

-7.21 < - 7.18 < -7.09 < 6.99 < 7.15

Step-by-step explanation:

-7.21

-7.18

-7.09

6.99

7.15

Answer:

100

Step-by-step explanation:

you  see im very smart

The length of the floor is obtained as 14 feet.

A rectangle is a type of parallelogram having equal diagonals.

All the interior angles of a rectangle are equal to the right angle.

The diagonals of a rectangle do not bisect each other.

The kitchen floor can be considered as a rectangle.

The width is given as 7 feet.

Suppose the length of floor be x feet.

Since, the area of a rectangle is the product of length and width, the following equation can be written for the given case,

7x = 98

=> x = 98/7

       = 14

Hence, the length of the kitchen's floor is found to be 14 feet.

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Answer:

[tex]\displaystyle \frac{d}{dx}\Big|_{x=3} & = \frac{9(3)-6}{\sqrt{(3(3)-2)^2-4}} = \frac{7\sqrt{5}}{5}[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]\displaystyle f(x) = \sqrt{x^2 -4} \text{ and } g(x) = 3x-2[/tex]

And we want to find:

[tex]\displaystyle \frac{d}{dx}\left[f(g(x))\right] \text{ at } x = 3[/tex]

Recall that from the chain rule:

[tex]\displaystyle \frac{d}{dx}\left[ f(g(x))\right] = f'(g(x)) \cdot g'(x)[/tex]

Hence, find both f'(x) and g'(x).

The derivative of f(x) can be determined using the chain rule:

[tex]\displaystyle \begin{aligned} f'(x) &= \frac{d}{dx}\left[ \sqrt{x^2-4}\right]\\ \\ & = \frac{1}{2\sqrt{(x^2-4)}}\cdot \frac{d}{dx}\left[x^2-4\right] \\ \\ & = \frac{x}{\sqrt{x^2-4}} \end{aligned}[/tex]

Because g(x) is simply a linear function, its derivative will be the slope of the linear function at any point. That is:

[tex]\displaystyle g'(x) = 3[/tex]

Hence:

[tex]\displaystyle \begin{aligned} \frac{d}{dx}\left[f(g(x))\right] & = \frac{(g(x))}{\sqrt{(g(x))^2-4}} \cdot (3) \\ \\ & = \frac{9x-6}{\sqrt{(3x-2)^2-4}} \end{aligned}[/tex]

Then at the point x = 3, the derivative is:

[tex]\displaystyle \frac{d}{dx}\Big|_{x=3} & = \frac{9(3)-6}{\sqrt{(3(3)-2)^2-4}} = \frac{7\sqrt{5}}{5}[/tex]

Answer:

[tex]\displaystyle m = \frac{2}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify.

Point (-4, 1)

Point (2, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Answer:

Correct answer is D 146°

Step-by-step explanation:

x= 90° +56° ( Exterior angle of a triangle is equal to the two opposite interior angles)

x= 146°

Answer:

x=31.5

Step-by-step explanation: