1,write the successor of-5 and predecessor of 6 then add them
2,find the value of a-b if a and b are two integers such that a is the predecessor of b
3,subtract the sum of 100and -24 from the sum of 42 and -66​

The calculated value of the length of the arc AB is 19.18 feet

From the question, we have the following parameters that can be used in our computation:

Central angle = 157 degrees

Radius, r = 7 ft

To find the length of an arc, we can use the formula:

length of arc = (central angle/360°) x (2πr)

where r is the radius of the circle.

Substitute the known values in the above equation, so, we have the following representation

length of arc = (157/360) x (2π * 7)

Evaluate

length of arc = 19.18

Hence, the length of the arc to the is 19.18 feet

Read more about arc length at

brainly.com/question/31331962

#SPJ1

Answer:

60+40+30+70=200 this an answer of a and B is 200

Answer:

A. 60+40+30+70=200

B. 200

Step-by-step explanation:

Hope this helps have an amazing day/month/year!

Answer:

divde 4 1/4 and you get 4.25

Step-by-step explanation:

The property illustrated in equation 4(-8+5) = -32 + 20 is the Distributive Property.

The Distributive Property states that when a number is multiplied by a sum or difference in parentheses, it can be distributed or multiplied by each term inside the parentheses separately, and then the results can be added or subtracted.

In this case, the number 4 is multiplied by the sum (-8 + 5). By applying the Distributive Property, we distribute the 4 to each term inside the parentheses:

4(-8 + 5) = (4 * -8) + (4 * 5)

This simplifies to:

4(-8 + 5) = -32 + 20

Finally, we can perform the addition:

-32 + 20 = -12

Therefore, the equation demonstrates the application of the Distributive Property.

know more about Distributive Property here:

https://brainly.com/question/2807928

#SPJ8

Answer:

Height of the Dom is 112.18 m.

Step-by-step explanation:

The tallest church tower in the Netherlands is the Dom Tower in Utrecht. The angle of elevation to the top of the tower is 77° when 25.9 m from the base. It is required to find the height of the Dom Tower. Let its height is h. So, using trigonometric formula to find it as :

\(\tan\theta=\dfrac{h}{b}\\\\\tan(77)=\dfrac{h}{25.9}\\\\h=\tan(77)\times 25.9\\\\h=112.18\ m\)

So, the height of the Dom is 112.18 m.

Answer:

It appears the question would be, "what are multiples of 9"

Step-by-step explanation:

The factor of the polynomial, the area of the pool and the simplified expression are all algebraic expressions

Factor of the polynomial

The polynomial is given as:

2x^3 + 6x^2 + 6x + 18

Factor out 2

2x^3 + 6x^2 + 6x + 18 = 2(x^3 + 3x^2 + 3x + 9)

Factorize

2x^3 + 6x^2 + 6x + 18 = 2(x^2(x + 3) + 3(x + 3))

Factor out x + 3

2x^3 + 6x^2 + 6x + 18 = 2(x^2 + 3)(x + 3)

Expand

2x^3 + 6x^2 + 6x + 18 = (2x^2 + 6)(x + 3)

Hence, 2x^2 + 6 is a factor of the polynomial 2x^3 + 6x^2 + 6x + 18

The length of the pool

The given parameters are:

Area = 2x^3 - 29x + 12

Width = x + 4

The length is calculated as:

Length = Area/Width

This gives

Length = 2x^2 - 29x + 12/x + 4

Factorize the numerator

Length = (2x^2 - 8x + 3)(x + 4)/x + 4

Cancel out x + 4

Length = 2x^2 - 8x + 3

Hence, the length of the pool is 2x^2 - 8x + 3

Simplify the expression

The expression is given as:

(3s^2 - 2s + 1) \(\div\) (s^2 - s + 2)

Evaluate the quotient

3 + (s - 5)/(s^2 - 5 + 2)

Hence, the simplified expression is 3 + (s - 5)/(s^2 - 5 + 2)

Read more about algebraic expressions at:

https://brainly.com/question/2164351

Answer:

40 ounces

Step-by-step explanation:

One foot = 12 inches

3 inches is 1/4 of a foot

Divide 10 pounds by 4 to get 2.5 pounds

Convert to ounces

Answer:

x=44/43

Step-by-step explanation:

Subtract 1 from both sides

Simplify

Divide both sides by the same term

Cancel terms that are in both the numerator and the denominator

Answer:

70%

Step-by-step explanation:

You can write it as a fraction ( 21/30 )

Then, you can turn it into a decimal ( 21 ÷ 30 = .7 )

Multiply .7 by 100

70%

Answer:

32.65 feet below sea level

Step-by-step explanation:

1.5x15=22.5

55.15-22.5=32.65

hope that helps

Answer:

Provide a picture, then comment on this. I will answer it.

Step-by-step explanation:

The amount of fewer euros he would receive as a result of the delay is 20 E.

The percentage loss that was caused by the delay is -4%.

Exchange rate is the rate at which one unit of a currency can buy another currency. In this question, the value of Euros appreciated by Monday. This is because $1 buys less Euros on Mondays. On the hand, dollars depreciates in value.

Amount of fewer Euros received = value of euros if it were exchanged on Friday - value of euros if it was exchanged on Monday

Value of euros if it were exchanged on Friday = 1.25 x 400 = 500 E

Value of euros if it was exchanged on Monday = 1.20 x 400 = 480 E

Difference = 500 E - 480 E = 20 E

Percentage loss = (Euros received on Monday / Euros that would have been received on Friday) - 1

Percentage loss = (480 / 500) - 1 = -0.04 = -4%

To learn more about exchange rate, please check: https://brainly.com/question/25780725

#SPJ1

Answer: D

Step-by-step explanation:

Using associative property, \(8(\frac{1}{4}*\frac{3}{5}) \\\) can be evaluated as 6/5 = 1.2.

The associative property states that the sum or the product of three or more numbers does not change if they are grouped in a different way.

(A × B) × C = A × (B × C).

\(=8(\frac{1}{4}*\frac{3}{5}) \\\\=(8*\frac{1}{4}) *\frac{3}{5}\\ \\ = 2* \frac{3}{5} = \frac{6}{5} = 1.2\)

Learn more about associative property here

https://brainly.com/question/5637942

#SPJ3

Answer:

√43

Step-by-step explanation:

Implement the Pythagorean formula to solve for sides of a right triangle: a^2 + b^2 = c^2, where "a" and "b" are the legs and "c" is the hypotenuse.

a = √6 and c = 49

√6^2 + b^2 = 49

6 + b^2 = 49

b^2 = 43

b = √43

Answer:

The square root of 43

Step-by-step explanation:

 I did this in class the other day

The number of students who participated in the survey, based on the histogram showing the number of hours students watch television on the weekend, is 125.

A histogram is a pictorial or graphical representation of categorical data, proportional to the frequency of a variable and whose width is equal to the class interval.

The number of students who watched between 0 - 4 hours = 20

The number of students who watched between 5 - 9 hours = 40

The number of students who watched between 10 - 14 hours = 30

The number of students who watched between 15 - 19 hours = 20

The number of students who watched between 20 - 24 hours = 15

The total number of students who participated = 125

Thus, using the histogram, the total number of students who participated in the survey was 125.

Learn more about histogram at https://brainly.com/question/17652335.

#SPJ1

Answer:

47 sorry if wrong

Step-by-step explanation:

Answer:

D. 43°

Step-by-step explanation:

Angle CAB = 180° - 133° = 47° (Angles on a Straight Line add up to 180°)

Angle ACB = 180° - 90° = 90° (Angles on a Straight Line add up to 180°)

Angle p or ABC = 180° - 90° - 47° = 43° (Angles in a Triangle add up to 180°)

The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

For more such questions on equation of a line, click on:

https://brainly.com/question/18831322

#SPJ8

Answer:

3. is your correct answer ok

Answer:

C or B

Step-by-step explanation:

because you have to think and just because the numbers are in order dont mean nun so the most answer that makes sense is C

Answer:20\(m^{2}\)

Step-by-step explanation:

The formula to find the area of a triangle is \(\frac{1}{2}\)bh.

b is the base value

h is the value of the height.

1/2b is 5 and 5 times 4 is 20 :)

Answer:

\(y = 5x\) -- You

\(y = 3 + 3x\) --- Your friend

Step-by-step explanation:

Given

You:

Trailhead implies the beginning so:

\(Start = 0\ mile\)

\(Rate = 5miles/hour\)

Your Friend

\(Start = 3\ mile\)

\(Rate = 3miles/hour\)

Required

Represent as an equation

From the question, we understand that:

\(y = distance\)

\(x = number\ of\ hours\)

So, the relationship between \(distance\ and\ time\ is:\)

\(Distance = Start + Rate * Number\ of\ hours\)

In terms \(of\ x\ and\ y\), we have:

\(y = Start + Rate * x\)

For you, the equation becomes:

\(y = 0+ 5* x\)

\(y = 0+ 5x\)

\(y = 5x\)

For your friend, the equation becomes:

\(y = 3 + 3 * x\)

\(y = 3 + 3x\)

Answer:You

Step-by-step explanation: you are just better gangy

Answer:

9 days is neeeded for Nadia to reach her goal

Answer:

the answer is (2•5x5y3)

Step-by-step explanation:

1.  (2x4 • y3) • 5x

Multiplying exponential expressions

2. x4 multiplied by x1 = x(4 + 1) = x5

Final result :

(2•5x5y3)

Sorry if I'm wrong

Answer:

10 x ^5 y^ 3

Step-by-step explanation:

Answer: 20 log (2)

Step-by-step explanation:

Answer: Logarithms are mathematical functions that are used to represent the relationship between two quantities that are related by a power law. For example, if we have an exponential equation like 2^x = 8, we can use logarithms to solve for x: log2 8 = x.

In general, logarithms are written in the form logb a, where b is the base of the logarithm and a is the number we want to take the logarithm of. There are several different bases in that logarithms can be written in, including the common logarithm (base 10) and the natural logarithm (base e).

To evaluate a logarithm, we need to use the logarithmic properties and the change of base formula. One important property of logarithms is that logb (xy) = logb x + logb y. Another property is that logb (x/y) = logb x - logb y.

The change of base formula is used when we need to evaluate a logarithm in a different base than the one given. The formula is:

logb a = logc a / logc b

where c is any base other than b or a. By using this formula, we can convert a logarithm from one base to another in order to evaluate it using a calculator.

In the case of log4 25, we can use the common logarithm (base 10) or the natural logarithm (base e) to evaluate the logarithm. Using the change of base formula with the common logarithm, we have:

log4 25 = log(25) / log(4)

Using a calculator, we find that log(25) ≈ 1.39794 and log(4) ≈ 0.60206, so:

log4 25 ≈ 1.39794 / 0.60206

Simplifying this expression, we get:

log4 25 ≈ 2.32193

Rounding to the nearest thousandth, we get:

log4 25 ≈ 2.322

So, the value of log4 25 to the nearest thousandth is 2.322.

Step-by-step explanation:

Answer:

A= (0,0) and B = (6,3)

We can find the length AB with the following formula:

\( d = \sqrt{(x_B -x_A)^2 +(y_B -y_A)^2}\)

And replacing we got:

\( d = \sqrt{(6-0)^2 +(3-0)^2} = \sqrt{45}= 3\sqrt{5}\)

So then the length AB would be \( 3\sqrt{5}\)

Step-by-step explanation:

For this case we have the following two points:

A= (0,0) and B = (6,3)

We can find the length AB with the following formula:

\( d = \sqrt{(x_B -x_A)^2 +(y_B -y_A)^2}\)

And replacing we got:

\( d = \sqrt{(6-0)^2 +(3-0)^2} = \sqrt{45}= 3\sqrt{5}\)

So then the length AB would be \( 3\sqrt{5}\)

Answer:6.71

Step-by-step explanation: awesomeness

(a) The average cost in 2011 is  

(b) A graph of the function g for the period 2006 to 2015 is shown below.

(c) Assuming that the graph remains accurate, its shape suggest that the average cost increases at a slower rate as time goes on.

Based on the information provided, we can logically deduce that the average annual cost (in dollars) for health insurance in this country can be approximately represented by the following function:

g(x) = -1736.7 + 1661.6Inx

where:

x = 6 corresponds to the year 2006.

For the year 2011, the average cost (in dollars) is given by;

x = (2011 - 2006) + 6

x = 5 + 6

x = 11 years.

Next, we would substitute 11 for x in the function:

g(11) = -1736.7 + 1661.6In(11)

g(11) = $2247.64

Part b.

In order to plot the graph of this function, we would make use of an online graphing tool. Additionally, the years would be plotted on the x-axis while the average annual cost would be plotted on the x-axis of the cartesian coordinate as shown below.

Part c.

Assuming the graph remains accurate, the shape of the graph suggest that the average cost of health insurance increases at a slower rate as time goes on.

Read more on exponential functions here: brainly.com/question/28246301

#SPJ1

Complete Question:

The average annual cost (in dollars) for health insurance in a country can be approximated by the function g(x) = -1736.7 + 1661.6Inx, where x = 6 corresponds to the year 2006.

(a) Estimate the average cost in 2011.

(b) Graph the function g for the period 2006 to 2015

(c) Assuming that the graph remains accurate, what does the shape of the graph suggest regarding the average cost of health insurance?