Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)? ​

Answer:

Exact answer = 10.41666666666666666666666666666pi

Estimated answer = 32.70938

Step-by-step explanation:

Semi circle formula: 1/2 * 4/3 * pi * r^3

r = 2.5

1/2 * 4/3 * pi * 2.5^3

2/3 * pi * 2.5^3

2/3 * pi * 15.625

10.416..... * pi

Exact answer = 10.417pi

We can estimate pi as 3.14

So, 10.417 * 3.14 = 32.70938

Exact answer = 10.41666666666666666666666666666pi

Estimated answer = 32.70938

Answer:

6

Step-by-step explanation:

A = π. r²

36π = π. r²

eliminate π, we get:

36=r²

r=√36

r = 6

Answer:

r = 6

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

Given A = 36π , then

πr² = 36π ( divide both sides by π )

r² = 36 ( take the square root of both sides )

r = [tex]\sqrt{36}[/tex] = 6

Answer:

-7

Step-by-step explanation:

63/9 but there is an odd number of negative numbers so negative answer

Answer:

1 grapefruit cost $0.50 and 1 apple cost $0.53

Step-by-step explanation:

To find the unit cost of 1 fruit, divide the cost by the amount of fruit.

Grapefruit = 3.00 ÷ 6 = $0.50

Apple = 2.65 ÷ 5 = $0.53

Answer:

e = -1/2

Step-by-step explanation:

To solve this problem, our first step is to add 5/3 to both sides of the equation.  This gives us:

4/3 + 5/3 = -6e - 5/3 + 5/3

9/3 = -6e

We can simplify the left side of the equation by performing the division.

3 = -6e

Next, we can solve for e by dividing both sides of the equation by -6.

e = -1/2

Therefore, the correct answer is e = -1/2.

Hope this helps!

Answer:

The value of e is -1/2

Step-by-step explanation:

4/3 = - 6e - 5/3

Now, add 6e both side we get,

4/3 + 6e = + 6e - 6e - 5/3

4/3 + 6e = - 5/3

Now, subtract 4/3 from both side we get,

4/3 - 4/3 + 6e = -4/3 - 5/3

6e = -4/3 - 5/3

6e = -4 - 5/3

6e = -9/3

6e = -3

Now, divide 6 from both side we get,

6e/6 = -3/6

e = -1/2

Thus, The value of e is -1/2

-TheUnknownScientist

Step-by-step explanatiosorry don't understand question be more specific

Answer:

y = 46

Step-by-step explanation:

Answer:

3/2 liters/minute

Step-by-step explanation:

Divide 11/15 liters by 22/45 minutes:

 11

------

 15

-----------

 22

-----

 45

This is equivalent to:

11      45

----- * -----  =  3/2 (liters/min)

15      22

The flow rate of the pipe is 3/2 (or 1.5) litres per minute.

To calculate the flow rate of the pipe, we divide the volume of water (in litres) by the time taken (in minutes).

Given:

Volume of water = 11/15 liters

Time taken = 22/45 minutes

Flow rate = Volume / Time

Flow rate = (11/15) liters / (22/45) minutes

To divide by a fraction, we multiply by its reciprocal:

Flow rate = (11/15) x (45/22) liters/minutes

Simplifying the expression:

Flow rate = 495/330 litres/minutes

The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 165 in this case:

Flow rate = (495/165) / (330/165) litres/minutes

Flow rate = 3/2 liters/minutes

Therefore, the flow rate of the pipe is 3/2 (or 1.5) litres per minute.

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Answer:

Step-by-step explanation:

Answer:

A). slope = -1/12         y-intercept = 3/2

Step-by-step explanation:

y = -1/12x + b

2 = -1/12(-6) + b

2 = 1/2 + b

3/2 = b

y = -1/12x + 3/2

[tex]$\mathcal{PROCESS:}$[/tex]

[tex]{\displaystyle \mathbb {DATA \ \ TO\ \ TAKE \ \ INTO \ \ ACCOUNT}[/tex]

To know the result of trees we will do the following steps...

[tex]200/5=?[/tex]

40 trees were planted

Answer:

41 Trees

Step-by-step explanation:

Answer:

{2,6,14}

Step-by-step explanation:

The range are the f(x) values

the domain are the x values

So we have it that;

f(-1) = 4(-1) + 6 = 2

f(0) = 4(0) + 6 = 6

f(2) = 4(2) + 6 = 14

so we have the range as;

{2,6,14}

Answer:

c

Step-by-step explanation:

Answer: Choice C. 32,768

Explanation:

2.5 hours = 2.5*60 = 150 minutes

150/10 = 15

There are 15 periods that are 10 minutes each in a 2.5 hour timespan.

y = a*b^x

y = 1*2^15

y = 32,768

If you started with a = 1 bacterium, then it will double a total of 15 times to end up with 32,768 bacteria after the 2.5 hour period.

12.

[tex]we \: know \: that \\ \frac{sum \: of \: all \: quantities}{number \: of \: quantities} = mean \\ => \frac{26 + 22 + 32 + 28 + 35 + x}{6} = 30 \\ = > \frac{143 + x}{6} = 30 \\ = > 143 + x = 30 \times 6 \\ = > 143 + x = 180 \\ = > x = 180 - 143 \\ = > x = 37 \\ [/tex]

This is the answer.

Hope it helps!!

Answer:

See explanation

Step-by-step explanation:

Given

[tex]n=5[/tex] --- disks

[tex]p = \frac{1}{3}[/tex] --- success probability

Required

The question is incomplete, as the required probability is not stated.

However, the question follows binomial distribution and the probability is calculated using:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]

Assume the question requires that we calculate the probability that he's able to drop 2 disks, the probability will be:

[tex]P(x = 2) = ^5C_2 * (\frac{1}{3})^2 * (1 - \frac{1}{3})^{5-2}[/tex]

[tex]P(x = 2) = ^5C_2 * (\frac{1}{3})^2 * (\frac{2}{3})^{3}[/tex]

[tex]P(x = 2) = 10 * \frac{1}{9}* \frac{8}{27}[/tex]

[tex]P(x = 2) = \frac{80}{243}[/tex]

Apply the formula to the complete question

Orders of Magnitude are in terms of scientific notation.

23,000 written in scientific notation is 2.3 x 10^4, it's magnitude is 4 ( the number 10 is raised to)

56 in scientific notation would be 5.6 x 10^1, its magnitude is 1.

4 - 1 = 3

2300 is 3 order of magnitudes larger.

The answer is 3.

Answer:

15.4

Step-by-step explanation:

sin 17° = 4.5 /x

x = 4.5 / sin 17° = 4.5 /0.2924

= 15.4

The value of the variable 'x' using the sine formula will be 15.4 units.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The value of 'x' is given by the sine of the angle ∠GIH. And the sine of an angle is the ratio of the normal and hypotenuse of the right-angle triangle. Then we have

sin 17° = 4.5 / x

x = 15.4

The value of the variable 'x' using the sine formula will be 15.4 units.

More about the right-angle triangle link is given below.

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Answer:

number 1 is C number 2 is A and number 3 is D

Step-by-step explanation:

Answer:

yeah

Step-by-step explanation:

Hi!

65% → 13 || : 13

5% → 1 || • 20

100% → 20

Answer: 65% of 20 is 13.

Answer:

Domain = ( -∞ , ∞ )

Range = ( ∞ , ∞ )

Step-by-step explanation:

A function is given to us and we need to find the domain and range of the given function .

The function :-

[tex]\rm \implies y = \dfrac{1}{4}x - 6 [/tex]

Definitions :-

In this case, there is no real number that makes the expression undefined. Therefore the domain will be :-

Domain :-

[tex]\rm Domain = ( -\infty , \infty ) [/tex]

or

[tex]\rm Domain = \{ x | x \in \mathbb{R} \}[/tex]

Range :-

[tex]\rm Range = ( -\infty , \infty ) [/tex]

or

[tex]\rm Range = \{ y | y \in \mathbb{R}\} [/tex]

Answer:

Create a table or a graph of the function. The domain represents all input values and the range represents all output values. The domain and range contain all real numbers.

Step-by-step explanation:

Answer:

is it me or can I not see anything

Answer:

20

Step-by-step explanation:

Let the angle at the left corner is A, so the angle at the rIght corner should be (180-90-A) = (90-A).

In the left triangle:

tanA = 8√5/16 = √(5)/2

Thus,

cotA = 1/tanA = 2/√5

In the right triangle:

tan(90-A) = 8√5/x

cotA = 8√5/x [tan(90-x) = cotx]

2/√5 = 8√5/x

x = 20

Answer:

12

Step-by-step explanation:

First substitute the equation with the variable replacements given:

-r/9 + 5x <--- Before

-27/9 + 5(3) <--- After

Next Solve the parts of the Equation

-27/9 + 5(3)

-3 + 15 <--- -27 divided by 9 is -3, 5 times 3 is 15.

= 12 <--- 15 - 3 = 12.

I hope this helps!

Answer:

12

Step-by-step explanation:

[tex]-\frac{27}{9}+5(3)[/tex]

- 3 + 15

15 - 3

12

Answer:

a=1

b=-5

c=6

Step-by-step explanation:

ax^2+bx+c=0

Is the formula used for this question.

The given function is the same as y = 1x^2 + (-5x) + 6

Compare it to the form y = ax^2+bx+c, and we have the following:

a = 1

b = -5

c = 6

Answer:

[tex]y=\frac{15\sqrt{3}}{4}[/tex]

Step-by-step explanation:

We are given that

[tex]\theta_1=60^{\circ}[/tex]

[tex]\theta_2=30^{\circ}[/tex]

We have to find the missing part.

[tex]\frac{x}{15}=cos\theta_1=cos60^{\circ}[/tex]

Using the formula

[tex]\frac{base}{hypotenuse}=cos\theta[/tex]

[tex]x=15cos60^{\circ}=\frac{15}{2}[/tex]

[tex]\frac{z}{15}=sin60^{\circ}[/tex]

Using the formula

[tex]\frac{Perpendicular\;arm}{hypotenuse}=sin\theta[/tex]

[tex]z=15\times \frac{\sqrt{3}}{2}=\frac{15\sqrt{3}}{2}[/tex]

Now,

[tex]\frac{a}{x}=cos60^{\circ}[/tex]

[tex]\frac{a}{\frac{15}{2}}=\frac{1}{2}[/tex]

[tex]a=\frac{1}{2}\times 15/2=\frac{15}{4}[/tex]

[tex]y=x sin60^{\circ}[/tex]

[tex]y=\frac{15}{2}\times \frac{\sqrt{3}}{2}[/tex]

[tex]y=\frac{15\sqrt{3}}{4}[/tex]

Answer:

c

Step-by-step explanation:

vertical angles are congruent, so

5x - 1 = 4x + 4 ( subtract 4x from both sides )

x - 1 = 4 ( add 1 to both sides )

x = 5 → c

The value of x is c. 5

Given that,

Based on the above information, the calculation is as follows:

5x - 1 = 4x + 4

5x -4x = 4 +  1

x = 5

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