how many inches is 2 1/6 ft​

The correct pairings are:

a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

b) Five times the difference of a number squared and six: 5(n² - 6)

c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

d) O twice the difference of nine and a number squared: 2(9 - n²)

The correct pairings of descriptions and expressions are as follows:

Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.

Five times the difference of a number squared and six: 5(n² - 6)

This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.

Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.

O twice the difference of nine and a number squared: 2(9 - n²)

This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.

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Step-by-step explanation:

Let’s see … one division every 20 minutes? That would be like <grinding noise> three binary doublings per hour, right? Now for the tough part … three doublings per hour, for eight straight hours? <more grinding noises> … Is that even mathematically possible? After much thinking, I decide that the total number of binary doublings has to be in the neighborhood of no less than eight times three!

Would you believe that 224=16777216 ? While mathematically true, it is not the answer to the posted question… Since we started at 0 minutes, there are only 23 buddings inside eight hours … so the answer has to be 223=8388608 , right?

Wrong again, this time forgetting all about the newlybud bacteria generations, that all go on budding side by side of their ancestors …

Now that you’ve caught on to the basic idea, I leave it to you to figure out the real answer! Keep in mind that after 20 minutes, you have two budding bacteria to reckon with, for 440 minutes … after 40 minutes another two (for 420 minutes), and so on, down the line.

Hint: the answer still is not 16777216 …

Answer:

after 1 division,there is 3 cell

after 2 divisions,there is 9 cell.

after 3 divisions,there is 27 cell

The above data takes the form of Geometric sequence.

3,9,27......,last term

here,Common ratio(r)=9/3=27/9=3

and,first term(a)=3

Let, n be the no.of divisions.

then, n=8 hrs/20 min=480 min/20min=24

Now,from the G.S,

last term=ar^n-1

=3×3^24-1

=9²³

Hence,9²³ organisms will there be after 8 hours

It can be written as 8.86293812×10²¹ as well

*Mark me brainliest

Answer:

16m per second

Step-by-step explanation:

Answer:

16 m/sec

Step-by-step explanation:

Formula

S = d/t

s = 800/50

s = 16 m/sec

Answer: Wait so you will give me brainliest if I do this?

Step-by-step explanation: :0 mind blown if you do

Here you go brainlist

The inequalities has no solutions.

STEP - BY - STEP EXPLANATION

What to find?

The solution to the given inequality.

Given:

-4n + 11 < -4( n + 6)

To solve the above inequality, we will follow the steps below:

Step 1

Open the parenthesis.

-4n + 11 < -4( n + 6)

-4n + 11 < -4n - 24

Step 2

Collect the like term.

-4n + 4n < -24 - 11

0 < -35

Observe that the above statement is not true.

Therefore, the inequalities has no solutions.

The number of hours Jeremy spent in the air is 16 hours.

He flew 8 times last week for work.

Each flight was two hours long.

Therefore, each flight, he spends two hours in the air.

Now he took this two hours flight for 8 times.

Therefore, the number of hours he spend in the air can be calculated as follows:

number of hours spent in the air = 8 × 2

number of hours spent in the air = 16 hours

Therefore, he spent 16 hours in the air.

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Answer:

Lin

Step-by-step explanation:

5/7*2/2=10/14

3/2*7/7=21/14

10/14+21/14=31/14

Answer:

Lin

Step-by-step explanation:

You should give the other person brainliest

Answer:

The answer is :

Step-by-step explanation:

Axis of symmetry is the equation where it cuts the middle of the quadratic graph.

For quadratic equation in the form of (x+a)² + b, the axis of symmetry will be (x+a) = 0 which is x = -a :

Question 1,

\((x + 3) = 0\)

\(x = - 3\)

Question 2,

\((y - 4 )= 0\)

\(y = 4\)

Answer:

\(\boxed{x=-3} \\ \boxed{y=4}\)

Step-by-step explanation:

Axis of symmetry is a line that cuts the parabola in half touching the vertex.

Quadratic forms ⇒ y = ax² + bx + c or x = ay² + by + c

Axis of symmetry ⇒ x = \(\frac{-b}{2a}\) or y = \(\frac{-b}{2a}\)

First problem:

y = -3(x+3)²-2

Write in quadratic form ⇒ y = ax² + bx + c

y = -3(x² + 6x + 9) - 2

y = -3x² -18x - 27 - 2

y = -3x² -18x - 29

a = -3, b = -18

Find axis of symmetry.

\(x= \frac{-b}{2a}\)

\(x=\frac{--18}{2(-3)}\)

\(x=\frac{18}{-6}=-3\)

Second problem:

x = -4(y -4)² +6

Write in quadratic form ⇒ x = ay² + by + c

x = -4(y² - 18y + 16) + 6

x = -4y² + 32y - 64 + 6

x = -4y² + 32y - 58

a = -4, b = 32

Find axis of symmetry.

\(y= \frac{-b}{2a}\)

\(y=\frac{-32}{2(-4)}\)

\(y=\frac{-32}{-8}=4\)

Answer: - 21/16 = 15/16 (simplified)

= - 1.3125 convert decimal to fraction

= - 13125/10000

= - 21/16 = 15/16  (simplified)

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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Answer:

-25

Step-by-step explanation:

175÷-7=-25

-25×-7=175

Answer:

£11564.54

Step-by-step explanation:

Since π/18 is greater than 0 and less than π, which is 180° in radians, this value of x satisfies the given range. Therefore, the solution to the equation cos(3x - 180°) = -√3/2, where 0 < x < 180° in radians, is x = π/18.

The study of the connection between triangle side lengths and angles is known as trigonometry. The concept first originated in the Hellenistic era, during the third century BC, due to the application of geometry in astronomical investigations. The subject of mathematics known as exact techniques deals with certain trigonometric functions and their possible applications in calculations. There are six commonly used trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their separate names and acronyms (csc). The study of triangle characteristics, particularly those of right triangles, is known as trigonometry. As a result, geometry is the study of the properties of all geometric forms.

cos(3x - 180°) = cos(180° - 3x)

cos(180° - 3x) = -√3/2

-cos(3x) = -√3/2

cos(3x) = √3/2

3x = π/6

x = π/18

Since π/18 is greater than 0 and less than π, which is 180° in radians, this value of x satisfies the given range. Therefore, the solution to the equation cos(3x - 180°) = -√3/2, where 0 < x < 180° in radians, is x = π/18.

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The amount more in income tax that Cho pays than Helen each month would be £56.

First, find Helen's yearly salary :

= 1, 720 x  12

= £ 20, 640

Both Cho's and Helen's annual salaries fall within the Basic rate tax bracket.

Cho 's monthly tax would be:

= (( 24, 000 - 12, 570 ) x 20 % ) / 12

= £ 190. 50

Helen's monthly tax :

= (( 20, 640 - 12, 570 ) x 20 % ) / 12

= £ 134.50

The difference is therefore :

= 190. 50 - 134.50

= £56

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The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Answer:

the answer are 2 and 6 ok

Answer:

2 and 6

Step-by-step explanation:

Take integers to be X and Y

X*Y=12

X + Y = 8

from the second equation, X= 8-Y

put X in the first Equation

(8-Y)Y = 12

Expand the equation

-Y² + 8Y - 12 = 0

Factorize the above equation

(-Y + 2) (Y - 6) = 0

Y = 2 and Y = 6

choose any value of Y.

so Y = 6,

put Y in X + Y = 8

X + 6 = 8

X = 2

therefore the integers are 2 and 6

Answer:

1(A)X=3/12

=1/4

1(B)X=14-10

=4

1(C)X=24/6

=4

1(D)X=8+4

=12

2 NO

=He got that answer by dividing $40 by 8

Step-by-step explanation:

Hope it helps u!!

Answer:

The answer is supplementary angles.

Step-by-step explanation:

Identify the angle pair as complementary or supplementary.

If one angle is 60 degrees and the other angle is 120 degrees.

First, add the two angles together to find the sum.

60 + 120 = 180

Then, identify which angle pair adds up to 180 degrees.

Supplementary angles

May I please have brainliest

Take into account that the general form of the equation of a circle is given by:

(x - h)² + (y - k)² = r²

where r is the radius of the circle, and the point (h,k) is the point of the center of the circle.

In the given graph, you can notice that the radius of the circle r = 2, and the center of the circle is (-3,3), then, you have h=-3 and k=3:

replace the values of h, k and r into the given formula:

(x - (-3))² + (y - 3)² = 2²

(x + 3)² + (y - 3)² = 4

Answer:

x > 5

Step-by-step explanation:

multiply the fractions, break up the fraction, group like terms, convert integer into a fraction, combine the fraction, combine the numerator, etc. hope this helps.

Answer:

c

Step-by-step explanation:

The third function has a range of y that is greater than or equal to 0.

A function is a kind of rule that, for one input, gives you one output.

For the first function, it contains negative values for y, so it was eliminated.

The second function did not start from zero, so it was eliminated.

The third function obeys the given condition, but the last function contains negative values for y.

Hence, the third function satisfies the condition that y is greater than or equal to 0. 

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The required graph has been attached below that represents the function f(x) = 5 cos (2x).

The graph of the function f(x) = 5 cos(2x) is a periodic function that oscillates between its maximum and minimum values as x changes.

Specifically, the function is a cosine function with amplitude 5 and period π, since the coefficient of x is 2 in the argument of the cosine function.

The graph of the function f(x) = 5 cos(2x) has a maximum value of 5 when cos(2x) = 1 (i.e., at 2x = 0 + 2πk, where k is an integer), and a minimum value of -5 when cos(2x) = -1 (i.e., at 2x = π + 2πk, where k is an integer).

Thus, the graph has been attached below that represents the given function.

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Answer:

the answer is 16

Step-by-step explanation:

because if you do long divison

Answer:

Step-by-step explanation:

(30*48)/100 = 14.40

48 - 14.40 = $ 33.60

48 + 33.60 = $ 81.60

Answer:

b.    \( \blue{k = \dfrac{l - 14j}{3}} \)

Step-by-step explanation:

\( l = 14j + 3k \)

Switch sides.

\( 14j + 3k = l \)

Subtract 14j from both sides.

\( 3k = l - 14j \)

Divide both sides by 3.

\( \blue{k = \dfrac{l - 14j}{3}} \)

Monthly payment for United bank = $1207.70, monthly payment for capitol bank =$1834.62. Total interest from United bank = $75600 and from capitol bank = $135000.

Total interest is determined by the addition of all the interest payments.

United bank offers mortgage at an APR of 4.2%

APR means annual percentage rate.

mortgage is offered for the period of 15 years.

initial principal amount of Marcy = $120000

we need to determine the monthly payment from United bank.

at first, we will determine the rate of interest per month.

monthly interest rate = (4.2) / (100 × 12) = 0.0035

1 year = 12 months

15 years = 15×12 = 180 months

monthly payment is calculated by the formula = [rate + (rate) / {(1+rate)∧month}⁻¹] ×principal

monthly payment = [ 0.0035 + (0.0035) / {(1+0.0035)∧180}⁻¹] ×120000

                          = $1207.70

from united bank monthly payment = $1207.70

Now we calculate the monthly payment from Capitol bank.

APR for capitol bank = 4.5%

number of years for which mortgage is issued = 25 years

number of months = 12×25 = 300.

monthly interest rate = (4.5) / (100×12) = 0.00375

monthly payment for capitol bank = [0.00375 + (0.00375) / {(1+0.00375)∧300}⁻¹] × 120000

                 = 1834.62

monthly payment from Capitol bank = $1834.62

total interest from Capitol bank = principal money × yearly interest rate × time period.

Total interest = 120000 × 4.5/100× 25

                        = $135000 for the Capitol bank

Total interest from United bank = principal amount × yearly interest × time period

            = 120000× 4.2/100 × 15

total interest from united bank   = $75600

United bank has lower total interest.

difference in monthly payment = 1834.62 - 1207.70

                                                   = 626.92 dollars

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Step-by-step explanation:

The given is that John has 312ft of fencing. (Think of the 312ft as the perimeter)

The garden's legth is 6 ft more than 5 times it's width.

Let X be the garden's width:

This is what we know about the length:

It is 5 times + 6 more than the width

Now that we know this, lets set an equation to find the garden's dimentions.

X + (5X+6) = 312

      (because we know  Y = X * 5 + 6)

Now it's time to simplify:

Simplified X is equal to 51, so this is the length.

From the given the length is 5 times + 6 more than the width so the length is 5*51+6 which is 261

Answer:

The width is 51 and the length is 261. Hope this is correct and hope this helps. Brainliest would help :)

a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².

b) The side length that gives the maximum area that the playground can have is x = 30 m.

c) The maximum area that the playground can have is 900 m².

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths, we have:

120 = 2(x + W)

60 = x + W

W = 60 - x

Therefore, the area of the rectangular playground (in terms of x) is given by this function;

A = LW

A(x) = x(60 - x)

A(x) = 60x - x²

Part b.

For the side length, we would take the first derivative of the area:

A(x) = 60x - x²

A'(x) = dA/dx

A'(x) = 60 - 2x

60 - 2x = 0

x = 60/2

x = 30 m

Part c.

W = 60 - x

W = 60 - 30

W = 30 m.

Therefore, the maximum area is given by;

A = 30 × 30

A = 900 m².

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Answer:the one area < with line underneath then -4

St-by-step explanation: I’m pretty sure this is correct

Answer:

Step-by-step explanation:

\( \mathrm{16x - 7 \leqslant - 71}\)

Move constant to Right hand side and change its sign

\( \mathrm{16x \leqslant - 71 + 7}\)

Calculate

\( \mathrm{16x \leqslant - 64}\)

Divide both sides of the equation by 16

\( \mathrm{ \frac{16x}{16} \leqslant \frac{ - 64}{16} }\)

Calculate

\( \mathrm{x \leqslant - 4}\)

Hope I helped!

Best regards!