a length of rope 4.12 ft long is cut into pieces 2.06 ft long. About how many pieces would there be? Use estimation to determine your answer

After solving, the height of the cylinder is 6 meters.

The surface area of a cylinder is 24π m².

The distance around the base of the cylinder is 3π meter.

The diameter of a base of the cylinder is 4 meter.

Now the radius of the cylinder = diameter/2

The radius of the cylinder = 4/2

The radius of the cylinder = 2 meter.

The formula of surface area of cylinder:

S = 2πrh

From the question:

2πrh = 24π

Now putting the value of r

2π × 2 × h = 24π

4πh = 24π

Divide by 4π on both side, we get

h = 6

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The complete question is:

The surface area of a cylinder is 24π m². The distance around the base of the cylinder is 3π meter and the diameter of a base of the cylinder is 4 meter. What is the height of the cylinder? Enter your answer, in a simplified fraction, in the box.

Answer:

IF=HF

Step-by-step explanation:

If you look at them they are equidistant

Answer:

IF=HF

Step-by-step explanation:

The 7th term of the sequence to the nearest thousandth is 223.949

These are sequence that increases in an exponential form.

The formula for calculating the nth term of a geometric sequence is expressed as:

Tn = ar^n-1

Given the following parameters

a = 75

r = 1.2

n = 7

Substitute the given parameter into the formula

T7 = 75(1.2)^6
T7 = 223.949

Hence the 7th term of the sequence to the nearest thousandth is 223.949

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The graph represents the solution set of a linear equation. In order to determine the specific equation, we need more information or context about the graph itself.

Linear equations are typically represented by straight lines on a coordinate plane. The equation of a straight line can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept. By examining the graph and identifying two distinct points on the line, we can calculate the slope and determine the equation of the line. The slope is calculated as the change in y divided by the change in x between the two points. Once the slope is determined, we can substitute the slope and one of the points into the equation y = mx + b to find the value of b. Therefore, without additional information about the graph or equation, it is not possible to generate a specific answer regarding the equation represented by the graph.

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Answer:

136

Step-by-step explanation:

Let's plug in 7 for x. 3(7)^2-2(7)+3. 7 to the second power is 49. 49*3 is equal to 147. 147-2(7) is 147-14, which is 133. 133+3=136, and therefore that is the answer.

Answer:

136

Step-by-step explanation:

substitute x = 7 into the expression

3x² - 2x + 3

= 3(7)² - 2(7) + 3

= 3(49) - 14 + 3

= 147 - 11

= 136

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

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Answer:

vertex(-3,27)

Step-by-step explanation:

f(x)= x^2+ 6x + 36 ( a=1,b=6,c=36)

V(h,k)

h=-b/2a=-6/2=-3

k=f(-3)=3²+6(-3)+36

f(-3)=9-18+36=27

vertex(-3,27)

Answer:

g(x) = |x+1| + 2

Step-by-step explanation:

In functions for horizontal shifts left or right we look at 'h' in the absolute value function formula: f(x) = a |x-h| +k, the h is opposite of what we think in functions here. an h value of 4 would indicate 4 to the left, -4 would indicate 4 to the right. Since we move 4 to the left we have '+4' and add that to the -3 in the function, giving us a h value of -1, so the new function would be g(x) = |x+1| + 2

Answer:

What is the question?

Step-by-step explanation:

none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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Answer:

all of them

Step-by-step explanation:

There are different types of triangles, these would all be scalene triangles.

Answer:

It's 8.46 cause the preceding digit to 4=5

Hope it helps

Have a good day

Answer:

8.456 rounded to the nearest tenth = 8.5

Step-by-step explanation:

To round 8.456 to the nearest tenth consider the hundredths’ value of 8.456, which is 5 and equal or more than 5. Therefore, the tenths value of 8.456 increases by 1 to 5.

The inequality that can be used to represent the number of miles, x, Jaime could bicycle on the 4th week to meet his goal is 240 + 310 + 320 + x ≥ 4 (280).

What is inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other.

For the next four weeks, Jaime wants to log at least 280 miles per week on average. Jamie's objective can be graphically expressed by the inequality: T4, or alternatively T 4 if T is the total number of miles he will pedal his bicycle for four weeks (280).

The sum of the distances Jamie has covered and has yet to cover is the total number of miles Jamie will cycle during this time. Hence,  T = 240 + 310 + 320 + x. Replacing this term into the inequality T ≥ 4(280) gives 240 + 310 + 320 + x ≥ 4(280). Therefore, choice D is the correct answer.

Thus, the correct answer is  240 + 310 + 320 + x ≥ 4 (280).

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In accordance with the information provided, if Monique purchases a $4,700 system of air conditioning on an installment plan with a 15% down payment, $705 will be needed as a down payment.

Installment loans come in two varieties: unsecured and secured. An unsecured loan merely requires a promise to repay the obligation; no sort of security is required. Consider credit card, lines of credit, or medical bills. An asset the value of the loan's principal is used as security for an installment loan.

Here,

Total cost = $4700

Down payment = 15% of %4700

Down payment = 15 / 100 * 4700

Down payment = 15 * 47

Down payment = $705

Therefore, a down payment of $705 is needed.

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The complete question is-

Monique buys a $4,700 air conditioning system using an installment plan that requires 15% down. How much is the down payment?

Answer: QPR must be congruent to SPT

Step-by-step explanation:

simple interest = $1092

Total amount = $6292

Principal = $5200

rate = 3% = 0.03

time = 7 years

Applying simple interest formula:

I = 5200 × 0.03 ×7

I = $1092

simple interest = $1092

We are to find total amount after getting the interest:

Amount = principal + interest

Amount = $5200 + $1092

Amount = $6292

Answer:

Move the variables to one side and the constants to the other through subtraction/additions to BOTH SIDES. Then, divide/multiply to get x = some constant.

Step-by-step explanation:

Try Khan Academy.

The area of the regular octogon is 196.15 square inches.

For a regular octogon with apothem A and side length L, the area is given by:

area =(2*A*L) * (1 + √2)

Here we know that:

A = 7in

L = 5.8 in

Replacing these values in the area for the formula, we will get the area:

area = (2*7in*5.8in) * (1 + √2)

area = 196.15 in²

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Answer:

x >= 2.25

x is greater than or equal to 2.25

Step-by-step explanation:

8x - 3 >= 15

add 3 to both sides

8x >= 18

divide 8 from both sides

x >= 2.25

Answer:

x≥6

Step-by-step explanation:

8x

3 less goes to 8x-3

then there is at least 15 which changes to

8x-3≥15

Then solve for x:

add 3 to the sides--> 3x≥15+3

3x≥18

Divide both of the sides by 3

x≥6

Hope this helped!

Answer:

1. y= 3x -10

2. y= -5x + 7

3. y= x -9

4. y= 2/3x- 6

5 y= -x + 2 1/2

Turn left and continue past the finish line after starting at 3.5 on the number line. Simply plot x=3 1/2 on a number line.

A relationship between two expressions or values that is not equal is known as an inequality in mathematics. Inequality follows imbalance, therefore. In mathematics, an inequality makes a connection between two values that are not equal. Egality and inequality are different. Different inequalities are employed to contrast values of all sizes. By changing the two sides until only the variables are left, one can solve many straightforward inequalities. But a variety of factors support inequality: Negative values are split or added on either side. Switch between the left and right.

given

the inequality for x 1/3 x - 3 -1 5/6 must first be resolved.

2 plus 3 on both sides

Simply multiply both sides of 1/3x by 3x31/2,

and then graph x31/2 on a number line.

Turn left and continue past the finish line after starting at 3.5 on the number line. Simply plot x=3 1/2 on a number line.

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The length of the longer diagonal of the given rhombus with side length 51units and shorter diagonal 48 units is equal to 90units.

As given in the question,

Side length of the given rhombus 's' = 51 units

Length of the shorter diagonal of given rhombus 'a' = 48 units

Let us consider length of the longer diagonal of the given rhombus be 'b'

As per the property of the rhombus:

Diagonals of the rhombus bisects each other at right angle

Triangle formed by side length bisecting diagonals is right angled triangle.

Using Pythagoras theorem we have,

(Side length)² = (a/2)² + (b/2)²

Substitute the values

⇒ (51)² = (48/2)² + (b/2)²

⇒2601 = 576 + (b/2)²

⇒(b/2)² = 2601 -576

⇒(b/2)² = 2025

⇒b/2 = √2025

⇒ b/2 =45

⇒ b = 90units

Therefore, the length of the longer diagonal of the given rhombus is equal to 90units.

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The correct option is (c). According to the passage, when compared to mental exhibited different patterns of brain activity.

According to the American Psychiatric Association, Exhibitionistic Disorder is a mental disorder that causes a person to expose his sexual organs—or genitals—to other people, usually people they've never met and are not expecting it. The exhibitionist derives sexual pleasure from the behaviour. When exhibitionists are arrested, treatment for their disorder usually begins. Psychotherapy, support groups, and antidepressants known as selective serotonin reuptake inhibitors are all part of it. Depression can be treated with a variety of medications, including: Serotonin reuptake inhibitors that are selective... read more (SSRIs).

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600 kcal, when converted, is equivalent to 2380 BTU, 2.51 x 10^6 joules, and 0.70 kwh.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume, etc. to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

kcal, BTU, joules, and kwh are all units of energy. To convert kcal to these units, we can use the following conversions:

1 kcal = 3.96567 BTU

1 kcal = 4184 joules

1 kcal = 0.00116222 kwh

Converting 600 kcal to BTU, joules and kwh:

1 kcal = 3.96567 BTU

600 kcal = 600(3.96567 BTU)

600 kcal = 2379.4 BTU ≅ 2380 BTU

1 kcal = 4184 joules

600 kcal = 600(4184 joules)

600 kcal = 2.51 x 10^6 joules

1 kcal = 0.00116222 kwh

600 kcal = 600(0.00116222 kwh)

600 kcal = 0.697333 kwh ≅ 0.70 kwh

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Therefore ,, the solution to the given question of inequality is

10b + 25t ≥ 175 is an inequality that represents  Suzie earnings from tutoring and babysitting.

Comparing two unequal expressions is made easier by inequalities. In order to create an equation, it also helps to compare the non-equal variables.

Here,

The symbols<,>, ≥ and ≤are primarily used to represent it.

B will stand in for the number of hours Suzie babysits. Let t be the amount of time she spends tutoring.

Given Suzie offers tutoring for $25 per hour and babysitting for $10 per hour. She desires to earn at least $175 every week. As a result, the disparity may be expressed as,

($10 × b) + ($25 × t) ≥ $175

10b + 25t ≥ 175

Therefore ,, the solution to the given question of inequality is

10b + 25t ≥ 175 is an inequality that represents  Suzie earnings from tutoring and babysitting.

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Answer:

The answer of 5 ⅔ ÷ 4 ⅔= 1 3/14

Answer:

B

Step-by-step explanation:

6/7 + 5/7 is 11/7

which is 1 4/7

and just add the whole numbers together to get 8 4/7