A rectangular paperboard measuring 26 in long and 20 in wide has a semicircle cut out of it, as shown below. What is the perimeter of the paperboard that remains after the semicircle is removed? (Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer)

Answer: the answer is C

Step-by-step explanation:

i did it

Answer:

x·y

14/t

15s

4(x+2)

Step-by-step explanation:

an algebraic expression must have at least one variable and at least one operation (+,-,×,÷)

Answer:

The problem is telling you to find g ( f ( x ) )

Since we know that f(x) is square root of x, we can put the function this way.

g(√x)

Then, we use  √x as our x in our g(x) function.

You plug in  √x for x and you solve.

(√x ) ^2 is just x.

Finally the answer is

x-3

hope this helps :)

Step-by-step explanation:

Using chain rule, the derivative of f(x) = 4√(8x³ + 2x⁴) is

f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

To find the derivative of the function f(x) = 4√(8x³ + 2x⁴), we can use the chain rule.

Let's break down the function into its components:

u(x) = 8x³ + 2x⁴ (inside function)

v(u) = 4√u (outer function)

To find the derivative, we apply the chain rule, which states:

(f(g(x)))' = f'(g(x)) * g'(x)

In this case, f(g(x)) = v(u(x)), and g(x) = u(x).

First, let's find the derivative of the inner function u(x):

u'(x) = 24x² + 8x³ (using the power rule for differentiation)

Next, let's find the derivative of the outer function v(u):

v'(u) = 4 * (1/2) * 1/√u = 1/√2u = 2/√u

Now, we can apply the chain rule:

f'(x) = v'(u(x)) * u'(x)

f'(x) = (2/√u) * (24x² + 8x³)

f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

The derivative of the function is  (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

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The intersection points are: (0, -3) and (10, 2)

The bounded area is -20.83 unit²

(a) The  intersection points of the line and curve are the points where the line and curve meet. Thus, the intersection points are:

(0, -3) and (10, 2)

(b) The integral terms of y which gives the area bound are:

a = -3, b = 2 (These are the y values of the intersection points)

Since we have x = y² + 3y and x = 2y + 6, we can say:

y² + 3y = 2y + 6

y² + 3y - 2y - 6 = 0

y² + y - 6 = 0

Thus, h(y) =

Using a = -3 and b = 2  with h(y) = y² + y - 6, we have the bounded area as:

\(Area = \int\limits^b_a {y} \, dy\)

\(Area = \int\limits^{2}_{-3} {(y^{2} + y - 6}) \, dy\)

Integrating the area:

Area = [y³/3 + y²/2 - 6y + C]²₋₃

Area = [2³/3 + 2²/2 - 6(2)] - [(-3)³/3 + (-3)²/2 - 6(-3)]

Area = [8/3 + 2 - 12] - [-9 + 4.5 + 18]  

Area = [-22/3] - [27/2]

Area = -125/6

Area = -20.83 unit²

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Using trigonometric ratios

Therefore,

Answer:

17.5%

Step-by-step explanation:

if you know that there is 26 letters in the alphabet and we have 9 colors thats 1 out of 9 and 1 out of 25 so when we and it all up we get 17.5%

PLS GIVE BRAINLIST MEAN THE WORLD

Answer:

the answer is slope=94, y-intercept = 2

Step-by-step explanation:

i took the test

The way the numbers will be placed in the square box will be:

First row = 4 12 14

Second row = 2 10 18

Third row = 6 8 16

It should be noted that the question is simply about adding the numbers and getting 39 in each place.

This will be:

First row = 4 12 14 = 4 + 12 + 14 = 30

Second row = 2 10 18 = 2 + 10 + 18 = 30

Third row = 6 8 16 = 6 + 8 + 16 = 30

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Answer:

Answer

Step-by-step explanation:

step by step Explantation

The total number of sheets in both boxes is equal to 1.3 × 10² or 1,300 sheets.

An exponent can be defined as a mathematical operation that is used to raise a quantity to the power of another and it is generally written as eˣ.

In Mathematics, laws of indices can be defined as the standard principles and rules that are used for simplifying a mathematical equation or expression that involves powers of the same base.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Mathematically, the total number of sheets in both boxes can be calculated by adding the sheets of paper in each box as follows:

Total number of sheets = 3 × 10² + 10³

Total number of sheets = 300 + 1000

Total number of sheets = 1,300

Total number of sheets = 1.3 × 10² sheets.

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If Gavin contributes towards a Pension fund (7,5% of his Basic Salary), then his net salary will be reduced by the amount he contributed towards pension fund i.e. R652.5.

1.1 Name of employee is Gavin Pillay. 1.2 UIF stands for Unemployment Insurance Fund. UIF is a benefit to provide short-term relief to workers who lose their jobs, or can't work due to illness, maternity or adoption leave. 1.3 The UIF paid by Gavin is calculated correctly.

Firstly, we need to calculate Gross Salary of Gavin, which is given as: Basic Salary + Overtime + M = R8700 + R1200 + R3201 = R13101Then, calculate total deductions from gross salary.

Total Deductions = PAYE + UIF = R1200 + 87 = R1287Hence, Gavin's net salary = Gross salary - Total Deductions = R13101 - R1287 = R11814Therefore, UIF paid by Gavin is calculated correctly as R87.1.4 This payslip is for the month of May i.e.

31/05/2023.1.5 Basic salary of Gavin = R8700. Deduct 7.5% of his basic salary to calculate his pension fund contribution. Pension Fund Contribution = 7.5/100 x R8700 = R652.5.1.6

Total deductions of Gavin includes PAYE, UIF and pension fund contribution.

Therefore, Total Deductions = PAYE + UIF + Pension Fund Contribution = R1200 + R87 + R652.5 = R1939.5.1.7

Gavin's age can not be determined as his date of birth is not provided.1.8 Address of Gavin's workplace is 21 Halsted Road, Pietermaritzburg?

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Answer: $252

Step-by-step explanation:

21$ an hour x 12 hours = $252 total :)

Answer:

She earned $252 thsi month.

Step-by-step explanation:

1  hour = $21

12 hours = $?

21*12 = 252

Answer:

Step-by-step explanation:

times .62

Hey there!

-4 + 7d + 8w + 6

d = 2

w = 8

-4 + 7(2) + 8(8) + 6

7(2) = 14

8(8) = 64

-4 + 14 + 64 + 6

-4 + 14 = 10

10 + 64 + 4

10 + 64 = 74

74 + 6 = 80

Answer: 80 ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

∠A = 41.81°

To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:

opposite = side opposite the angle = 4

hypotenuse = 6

adjacent = base = AC = ?

Since we have been given the opposite and the hypotenuse, we would use the sine ratio:

Sin A = opposite/hypotenuse

Sin A = 4/6

sin A = 0.6667

A = 41.8129 degrees

To the nearest hundredth, ∠A = 41.81°

62 = 12.

7 x 0 = 7.

Four hundred and eight is written as 4008.

0.10 = point ten.

0.5 x 10 = 0.50.

6 -:- ½ = 3.

- 5 + 3 = -8.

4% is 0.4 as a decimal.

The measurement that is closest to the volume of the sphere is given as follows:

1,767.1 in³.

The volume of an sphere of radius r is given by the multiplication of 4π by the radius cubed and divided by 3, hence the equation is presented as follows:

\(V = \frac{4\pi r^3}{3}\)

From the image given at the end of the answer, we have that the diameter is of 15 units, hence the radius of the sphere, which is half the diameter, is given as follows:

r = 0.5 x 15

r = 7.5 units.

Then the volume of the sphere is given as follows:

V = 4/3 x π x 7.5³

V = 1,767.1 in³.

The sphere is given by the image presented at the end of the answer.

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This is a transformation of the parent square root function, and it can be written as:

f(x) = √(-x + 4) - 2

It is ratter easy to identify the shape of the general square root function:

f(x) = √x

The only difference is that now it opens to the left, and it starts at the point (4, -2)

Then:

The sign of the x must be negative.

And with the known vertex we can write the equation:

f(x) = √(-x + 4) - 2

That is the graphed function.

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Step-by-step explanation:

the part that cut off says gradient formula.

The weight before the party could be any positive number

The weight of the bag of ice after the party was 7/8 pounds. So we can set up an equation:

x - weight used at the party = 7/8

We know that the weight used at the party is the weight before the party minus the weight after the party.

So we can substitute 3x for the weight before the party:

3x - (7/8) = weight used at the party

We don't know the exact weight used at the party, but we do know that it was less than or equal to the weight before the party.

So we can set up another inequality:

weight used at the party ≤ 3x

Putting it all together:

3x - (7/8) ≤ 3x

Simplifying:

-(7/8) ≤ 0

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Answer:

\(2abCosC = 1\)

Step-by-step explanation:

The cosine rule is

=> \(a^2= b^2+c^2-2abCosC\)

For 2abCosC, it becomes

=> \(2abCosC = b^2+c^2-a^2\)

=> \(2abCosC = (2)^2+(1)^2-(2)^2\)

=> \(2abCosC = 1\)

Answer:

$12

Step-by-step explanation:

Hi there!

What we know:

Therefore, 8 × (cost of 1 bag) - 5 = 91

Form an equation with x as the cost of 1 bag of dog food:

8 × (cost of 1 bag) - 5 = 91

\(8x-5=91\)

Add 5 to both sides

\(8x-5+5=91+5\\8x=96\\\)

Divide both sides by 8

\(\frac{8x}{8} = \frac{96}{8} \\x=12\)

Therefore, 1 bag of dog food costs $12.

I hope this helps!

Answer:

Step-by-step explanation:

Okay, so you need to create an equation which shows that twice the sum of a number (n) and 7 is 3 times that number. So you need twice the sum of n + 7 and that will equal 3 times n.

2(n + 7) = 3n

Now, multiply

2n + 14 = 3n

2n + 14 -2n = 3n - 2n

14 = n

So the number is 14. Now you can check your answer

2(14 + 7) = 3(14)

2x21 = 42

42 = 42

Answer:

B. Similar

Step-by-step explanation:

The two spheres are similar, but not congruent. They have the same shape, but different sizes.

The scale factor between the two spheres is 9/6= 3/2, which means that the radius of the larger sphere is 3/2 times the radius of the smaller sphere.

The true statements about the number line are (c) JMK = 50 and (d) KML = 35 while the true statements about the angles  are (c) JMK = 50 and (d) KML = 35

The number line

On the number line, we have the following points:

A = -2

B = 1

C = 6

Lengths cannot be negative.

So, option (A) is false

The length BC is calculated as:

BC = |C - B|

So, we have

BC = |6 - 1| ---- option (B) is true

BC = 5 --- option (E) is false

The point B is between points A and C.

This means that:

(d) AB + BC = AC ---- true

Hence, the true statements are (b) BC = |6 - 1| and (d) AB + BC = AC

The angles

From the figure, we have:

JMK = 6x + 2

KML = 4x + 3

JML = 85

This means that

6x + 2 + 4x + 3 = 85

Evaluate the like terms

10x = 80

Divide by 10

x = 8

Substitute x = 8 in JMK and KML

JMK = 6x + 2 = 6 * 8 + 2 = 50

KML = 4x + 3 = 4 * 8 + 3 = 35

Hence, the true statements are (c) JMK = 50 and (d) KML = 35

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Answer:

30°

Step-by-step explanation:

They are alternate interior angles, so they are equal.

30°

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