inequality? 6(x - 2) + 21 <39
A x < 5
C X> 3
B x >5
D x <3

Use exp/log functions to rewrite y as

[tex]y = (1+x)^{\frac1x} \implies y = \exp\left(\ln\left(1+x)^{\frac1x}\right)\right)[/tex]

One of the properties of logarithms lets us bring down the exponent, so

[tex]y = \exp\left(\dfrac{\ln(1+x)}x\right)[/tex]

Now take the derivative of both sides with respect to x. By the chain and quotient rules,

[tex]\dfrac{dy}{dx} = \exp\left(\dfrac{\ln(1+x)}x\right) \times \dfrac{\frac x{1+x} - \ln(1+x)}{x^2}[/tex]

Simplify:

[tex]\boxed{\dfrac{dy}{dx} = \frac{x - (1+x)\ln(1+x)}{x^2(1+x)} (1+x)^{\frac1x}}[/tex]

Answer:

The answer is C :)

Step-by-step explanation:

Answer:

30.519 g

Step-by-step explanation:

The relation

Solving

Answer: 55 mph

Step-by-step explanation: rate=distance/time=275/5=55 miles per hour

Answer:

30 degrees

Step-by-step explanation:

inscribed angle angle x encompasses   360 - 120 - 180 = 60 degrees of arc

  this is 2 times the measure if the inscribed angle

 angle B = 30 degrees

Answer:

See below ↓↓

Step-by-step explanation:

Plan 1

Plan 2

Part A

Equating them

⇒ 127x = 363 + 94x

⇒ 33x = 363

⇒ x = 11 months [They will be same at this point]

Part B

⇒ Plan 1 : 127(24) = $3048

⇒ Plan 2 : 363 + 94(24) = 2256 + 363 = $2619

⇒ I would recommend Plan 2 as it costs less for the time period of 2 years

The Formula for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]

   Volume = [tex]\frac{4}{3} \pi (2)^3 = \frac{4*8}{3} \pi =33.510[/tex]

The volume is 33.51 cubic feet

Hope that helps!

Answer: 9 sides

Step-by-step explanation:

      If this is a perfect polygon then the answer is 9 sides. A perfect polygon is a polygon where all the sides and angles are congruent to each other.

180°(n-2) = 1,260°

n - 2 = 7

n = 9

Answer:

196 ft cubed

Step-by-step explanation:

formula = ((bxh)/2) x length

so

7 x 7 = 49

49 / 2 = 24.5

24.5 x 8 = 196

Hope this helps! If you need further help, let me know!

- profparis

Answer:

SEQUENCE represents linear tasks sequentially performed one after the other.

WHILE a loop with a condition at its beginning.

REPEAT-UNTIL a loop with a condition at the bottom.

FOR another way of looping.

IF-THEN-ELSE a conditional statement changing the flow of the algorithm.

CASE the generalization form of IF-THEN-ELSE

Step-by-step explanation:

Always capitalize the initial word (often one of the main 6 constructs).

Have only one statement per line.

Indent to show hierarchy, improve readability, and show nested constructs.

Always end multiline sections using any of the END keywords (ENDIF, ENDWHILE, etc.).

Keep your statements programming language independent.

Use the naming domain of the problem, not that of the implementation. E.g., “Append the last name to the first name” instead of “name = first+ last.”

Keep it simple, concise, and readable.

Answer:

Blue label

Step-by-step explanation:

All that matters here is # of bottles sold * profit per bottle.

If you multiply these 2 values for each row you will see the blue label has the highest amount of profit.

Among all the product ranges blue label generated the most profit of $5625.

Profit is basically the difference between the total revenue and the total cost of the product.

Profit=Total Revenue- Total cost.

We know that Average profit= total profit/ number of units.

So the profit will be as average profits* number of units.

So the profit of product ranges will be =average profit * number of bottles.

Profit of red label=1.12*3000

=$3360

Profit of black label=1.5*2000

=$3000.

Profit of gold label=2.75*1000

=$2750

Profit of white label=1.20*2750

=$3300

Profit of blue label=2.25*2500

=$5625.

Hence among all the product ranges blue label has generated maximum profit.

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The value of mathematical expression is,

⇒ 55 ÷ x

⇒ 55 / x

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The word phrase is,

''The quotient of 55 and x.''

Now, The value of mathematical expression is,

''The quotient of 55 and x.''

⇒ 55 ÷ x

⇒ 55 / x

Therefore, The value of mathematical expression is,

⇒ 55 ÷ x

⇒ 55 / x

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Answer:

The answer is b- 1/4 = 4 3/4

Step-by-step explanation:

B stands for the total amount of chocolate bars they started with.

Gabby ate 1/4 of those chocolate bars.

4 3/4 of the chocolate bars were left after that.

So, total amount of bars - what Gabby ate =  chocolate bars that are left

b - 1/4 = 4 3/4

We are given with a sequence, which is a GP (Geometric Progression), as the ratio [tex]{\bf{a_{n+1}:a_{n}}}[/tex] is 1/3 for every [tex]{\bf{n\in \mathbb{N}}}[/tex], so 1/3 is the comman ratio r, and we needa find sum till 6 terms, so n = 6, and first term is 6, so putting all the values we will be having ;

[tex]{:\implies \quad \sf S_{6}=\dfrac{6\bigg\{1-{\bigg(\dfrac13\bigg)}^{6}\bigg\}}{1-\dfrac13}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{6\bigg(1-\dfrac{1}{3^{6}}\bigg)}{\dfrac{3-1}{3}}}[/tex]

[tex]{:\implies \quad \sf S_{6}=6\bigg(\dfrac{3^{6}-1}{3^{6}}\bigg)\div \dfrac23}[/tex]

[tex]{:\implies \quad \sf S_{6}=6\bigg(\dfrac{3^{6}-1}{3^{6}}\bigg)\times \dfrac32}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{3^{6}-1}{3^{4}}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{3^6}{3^4}-\dfrac{1}{3^4}}[/tex]

[tex]{:\implies \quad \sf S_{6}=3^{2}-\dfrac{1}{81}}[/tex]

[tex]{:\implies \quad \sf S_{6}\approx 9-0.012\approx 8.988\approx \boxed{\bf{8.99}}}[/tex]

Answer:

C. 891.

Step-by-step explanation:

This is a regular nonagram ( has 9 sides) so the area is the sum of 9 congruent triangles.

Area of a triangle = 1/2 * base * height

Area of 1 triangle in this  polygon = 1/2 * 12 * 16.5

Area of the polygon = 9 *  1/2 * 12 * 16.5

=  891

Answer:

5. Perpendicular

6. Parallel

7. Transversal

8. Perpendicular

9. Parallel

10.Transversal

Step-by-step explanation:

Answer:

A,B,C

Step-by-step explanation:

Just divide them hope this helps x

Answer:

3/8

(B)

Step-by-step explanation:

3+2+3=8.

There are 3 orange, so 3/8

Answer:

7/8

Step-by-step explanation:

3+3+2=8 but it said probability she selected AN orange marble

it will be 3375 bacteria my ducky

Answer:

A: (8x-5y)(x-y)

B: -(3s-5r)(4s+7r)

Step-by-step explanation:

Explanation is in photo.

~Hope thsi helps~

Answer:

a) (x - y)(8x - 5y)

b) (-4s - 7r)(3s - 5r)

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

solve for variable x.

move the term containing x to the left and the rest to the right.

add -2y to each side of the equation.

 -13 +2y + -2y = 29 + -2y

combine like terms; 2y + -2y = 0

     -13x + 0 = 29 + -2y

          -13x = 29 + -2y

divide each side by -13 and then simplify;

x = -2.23 + 0.15

x = 2.38

The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region.

Data;

Let's calculate the t-value

[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } }[/tex]

Substitute the values into the equation and solve;

[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } } \\t = \frac{5.82 - 5}{\frac{4.93}{\sqrt{600} }} \\t = \frac{0.82}{0.201} \\t = 4.079[/tex]

The t-value is 4.079.

The allowed significance value = 0.01

The degree of freedom is n -1, which becomes 600 - 1 = 599.

The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region, we have to reject the null hypothesis or claim incorrect.

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Answer:

50

Step-by-step explanation:

We are finding the surface area of a circle here. which is pie r ^2 ( the formula) so the radius is 4. So we do pie 4^2 which equals 50.26548246 which is approximately 50.

Answer:

First, we must know the formula for the area of a circle.

The formula for the area of a circle is;

Where 'π' is pi(22/7 or 3.14), and 'r' is the radius which is being squared.

R(radius) = 4 feet.

So,

A = π[tex]r^{2}[/tex]

Will be;

A = π(4^2) ← what I mean by " ^ ", I mean "to the power of".

Simplify:-

A = 3.14(16)

A = 50.24 feet is the area.

if its diameter is 14, then its radius is half that or 7.

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (7)^3}{3}\implies V=\cfrac{1372\pi }{3} \\\\\\ \stackrel{using~\pi =3.14}{V\approx 1436.03} \end{array}[/tex]

Answer:

[tex]1436.76... units^3[/tex]

Step-by-step explanation:

Recall the formula for the volume of a sphere.

[tex]V = \frac{4}{3} \pi r^3[/tex]

The question gives you diameter. As you know, diameter is twice the radius. Therefore, to convert diameter into radius, you divide the diameter by 2.

[tex]r = 14/2[/tex] [tex]= 7[/tex]

Now that you have the radius, all you need to do is plug it into the volume formula.

[tex]V = \frac{4}{3}\pi 7^3[/tex] = [tex]1436.76... units^3[/tex]

Answer:

B. y=-3x+4

Step-by-step explanation:

slope always has the variable

Answer:

Step-by-step explanation:

hello :

an equation for the line is : y=ax+b   when a is the slope

so : a= -3

y-intercept of 4  means x=0   y=4

Answer: B    because   x=0    y=-3(0)+4  = 4

Answer:

EG = 6 in.

Step-by-step explanation:

EG is congruent to DF and DF is 6 in. so EG would be 6 in.

Answer:

6 in.

Step-by-step explanation:

DF's length is congruent ( same ) to EG's length which is shown by the one mark on each side

Since DF's length is 6 inches, EG's length is also 6 inches.

Therefore,the answer is 6 in( inches )

Hope this helps!

Please mark as brainliest!!!

Answer:

203° F

Step-by-step explanation:

F = 1.8C + 32

F = 1.8 × 95 + 32

F = 203

At alpha level equal to 0.05, there is no significant difference between mean completion times.

From the complete information, the test statistic will be:

t = [(33.875 - 32.375) - 0]/8.1472 × ✓0.25

t = 0.3682

The tabulated value is 1.76. Therefore, we will accept the null hypothesis. Therefore, there is no significant difference between mean completion times.

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Answer:

The number is 16.

Step-by-step explanation:

So we need to find 3/4 of a number to get 12.

We don't know what the number is, so we assign it a variable. We will assign the variable x and try to solve it.

We translate our problem into an equation. Since x is the variable and we multiply by 3/4,  we get the value of 12, which is exactly what we are trying to do.

(3/4)(x) = 12

To solve, we multiply both sides by 4/3, because in order to solve for x (the variable), it needs to be separated and isolated from everything else.

(4/3) * (3/4)(x) = (4/3) * 12

4/3 * 3/4 = 1 and (4*12)/3 = 48/3 = 16

x = 16

The number is 16.