What is the quotient? please hurry




8745/53

Answer:

first option

Step-by-step explanation:

integers are like whole numbers but can also be negative

Answer:

A

Step-by-step explanation:

The future value of the annuity after the end of 5 years is $552.56.

Given that, r =5%= 0.05, 5 years  = 5 yearly payments, so n = 5, and P = $100.

The formula to find the annuity formula \(FV=\frac{P \times ((1+r)^{n}-1 )}{r}\).

Now, \(FV=\frac{100 \times ((1+0.05)^{5}-1 )}{0.05}\)

⇒FV = 100 × 55.256

⇒FV = $552.56

Therefore, the future value of the annuity after the end of 5 years is $552.56.

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Answer:
Money divided: $332
Correct graph: Graph 2

Step-by-step explanation:

First we know that the total amount raised is $2050 and that the starting balance is $58

So we can make a expression saying 6m + 58 = 2050

2050-58 = 1992

so we know that 6m = $1992

to work out m, we divide 1992 by 6.

1992/6=m=$332

Graph 2 is the correct graph as Graph 1 shows $290, Graph 3 shows $340 and Graph 4 shows $370 and we want to be as close to the original amount which is $332.

Answer:

Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls

Egbert must deposit $19,602.52 as a lump sum in order to have $40,000 in the fund at the end of 10 years.

To calculate the required lump sum deposit, we can use the formula for compound interest:

A = P\((1+r/n)^{nt}\)

Where:

A = the future value (desired amount in the fund) = $40,000

P = the initial principal (lump sum deposit we need to find)

r = the annual interest rate in decimal form = 7% = 0.07

n = the number of compounding periods per year = 4 (quarterly compounding)

t = the number of years = 10

Plugging in these values, the formula becomes:

$40,000 = P\((1+(0.07/4)^{(4*10)}\)

Simplifying further:

$40,000 = P\((1.0175)^{40}\)

Now we can solve for P by dividing both sides of the equation by

P = $40,000 /\((1.0175)^{40}\)

Using a calculator to evaluate the expression, we find:

P ≈ $19,602.52

Therefore, Egbert must deposit approximately $19,602.52 as a lump sum in order to have $40,000 in the fund at the end of 10 years.

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Answer:

3

Step-by-step explanation:

Just count how many terms are there in the expression

Answer: Hence, the time taken by the experienced crew would be 9 hours.

Step-by-step explanation:

(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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The requried properties are true for all the parallelograms are,
1. Opposite sides are parallel     2. Opposite sides are congruent

A parallelogram is a quadrilateral consisting of pairs of parallel sides.

The following properties are true for all parallelograms,
The opposite sides are parallel.
The Opposite sides are congruent.

All parallelograms have four congruent sides (property 1), four right angles (property 2), or exactly one pair of parallel sides (property 3). These properties only apply to specific types of parallelograms, such as rectangles or squares.

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I believe it is A and C.

There are 6 slots on the wheel, so both the numbers in A and E can be divided/multiplied to fit this criterion.  For example, 3 times 2 is 6 (the number of gender slots) and 1 times 2 is two, so two out of 6 art teachers will be female.

I hope this helps!!!

Answer:

Roots are -π/2 and π/2

Step-by-step explanation:

\({ \bf{f(x) = 3 \cos(x) }}\)

when x is -2π:

\({ \sf{f( - 2\pi) = 3 \cos( - 2\pi) }} \\ { \sf{ = 3}}\)

hence -2π is not a zero of the function

when x is 2π:

\({ \sf{f(2\pi) = 3 \cos(2\pi) }} \\ { \sf{ = 3}}\)

hence 2π is not a zero of the function

when x is π/2:

\({ \sf{f( \frac{\pi}{2}) = 3 \cos( \frac{\pi}{2} ) }} \\ { \sf{ = 0}}\)

Hence ±π/2 is the zero of the function.

The three true statements are as follows:

In the list, there are several true statements and some of them include the facts that all triangles are polygons, they are closed figures and they have three straight sides.

A polygon is a shape with two or more sides. Triangles ahve three sides, so we can easily address them as polygons. Also, all triangles are closed figures and they also have three straight sides.

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Answer:

Y=x+3

Step-by-step explanation:

Substitute c=3 and m=1 in eqn 1

y=1x+3

y=x+3

Thus the required equation of the line is found

The expression arcctg(tg(x)) simplifies to arcctg(tan(x)).

To simplify the expression arcctg(tg(x)), we can apply trigonometric identities and properties.

The function arcctg(x) is the inverse cotangent function, which is the angle whose cotangent is x. Similarly, tg(x) represents the tangent function.

First, let's simplify the expression inside the arcctg function, which is tg(x):

tg(x) = sin(x) / cos(x)

Now, we can substitute this value into the original expression:

arcctg(tg(x)) = arcctg(sin(x) / cos(x))

Using the property of inverse trigonometric functions, we can rewrite this as:

arcctg(sin(x) / cos(x)) = arcctg(1 / tan(x))

Now, we can simplify further using the identity:

1 / tan(x) = cot(x)

Therefore:

arcctg(1 / tan(x)) = arcctg(cot(x))

Using another identity, we know that the cotangent function is the reciprocal of the tangent function:

cot(x) = 1 / tan(x)

Therefore, we can simplify the expression to:

arcctg(cot(x)) = arcctg(1 / tan(x)) = arcctg(tan(x))

Finally, we arrive at the simplified expression:

arcctg(tg(x)) = arcctg(tan(x))

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Answer:

22≥4m-2=6

5-3m<-13=6

Step-by-step explanation:

The inequalities  22 ≥ 4m - 2 or 5 - 3m ≤ - 13 is m ≤ 6 or m ≥ 6.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

22 ≥ 4m - 2.

4m ≤ 22 + 2.

4m ≤ 24.

m ≤ 24/4.

m ≤ 6.

5 - 3m ≤ - 13.

- 3m ≤ - 13 - 5.

- 3m ≤ - 18.

3m ≥ 18.

m ≥ 18/3.

m ≥ 6.

So, m ≤ 6 or m ≥ 6.

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Answer:

probability that student passes = 0.7815

Step-by-step explanation:

Given:

Student studies = 85% = 0.85

Student not study = 11% = 0.11

Student who pass = 90% = 0.90

Computation:

P(student not pass) = 1 - 0.85

P(student not pass) = 0.15

probability that student passes = P(Student studies)(Student who pass) + P(Student not study)(student not pass)

probability that student passes = (0.85)(0.90) + (0.15)(0.11)

probability that student passes = 0.765 + 0.0165

probability that student passes = 0.7815

Using the percentages given, it is found that there is a 0.7815 = 78.15% probability that student passes.

The percentages associated with passing the test are given by:

Hence, adding these percentages:

\(p = 0.9(0.85) + 0.11(0.15) = 0.7815\)

0.7815 x 100% = 78.15%

There is a 0.7815 = 78.15% probability that student passes.

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Answer:

2884 pieces

Step-by-step explanation:

First you have to multiply 2 and 226:

2 x 266 = 532

Then you have to multiply 4 and 558:

4 x 558 = 2352

After that you have add those two to make your answer:

532 + 2352 = 2884

There is your answer.

The average distance of the values 0, 4, 8, 10, and 18 from their mean of 8 is 4.8.

The average distance of the values 0, 4, 8, 10, and 18 from their mean of 8 is 6.4.

Here's how to calculate it:Step-by-step explanation:

The mean or average of a set of numbers is obtained by adding all the numbers and then dividing by the number of numbers.

Thus, the mean of 0, 4, 8, 10, and 18 is:(0+4+8+10+18)/5 = 8

So, the mean of these values is 8.

The average distance of the values from their mean is also called the mean deviation or average deviation.

To calculate the mean deviation, we first need to calculate the deviation of each value from the mean.

Deviation is the difference between a value and the mean.

The deviations for these values are:-8, -4, 0, 2, 10

Now, we calculate the average of these deviations by adding them up and dividing by the number of values.

The sum of deviations is:-8 + (-4) + 0 + 2 + 10 = 0

The number of values is 5.So, the mean deviation or average deviation is:0/5 = 0

Therefore, the average distance of the values from their mean of 8 is 0.

But, if we want to find the average distance in absolute terms, we need to take the absolute values of the deviations. The absolute values of the deviations are:8, 4, 0, 2, 10

Now, we calculate the average of these absolute deviations by adding them up and dividing by the number of values. The sum of absolute deviations is:8 + 4 + 0 + 2 + 10 = 24

The number of values is 5.So, the mean deviation or average deviation is:

24/5 = 4.8

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Answer:

The length of the arc ADB is (8/3)π ft and the area of the shaded region is 4.5 ft^2 - 4π ft^2.

Step-by-step explanation:

In the given circle with center O and radius 3 ft, let's consider the angle AOB, which is given as 160°. We need to find the length of the arc ADB and the area of the shaded region.

To find the length of the arc ADB, we can use the formula for the circumference of a circle and calculate the fraction of the total circumference represented by the angle AOB.

The circumference of a circle is given by 2πr, where r is the radius. In this case, the radius is 3 ft. Therefore, the total circumference is 2π(3) = 6π ft.

To find the length of the arc ADB, we calculate the fraction of the total circumference represented by the angle AOB. Since the angle AOB is 160° out of 360°, the length of the arc ADB is (160/360) * 6π ft = (4/9) * 6π ft = (8/3)π ft.

Next, to find the area of the shaded region, we need to subtract the area of the sector AOB from the area of triangle AOB. The area of the sector AOB is (160/360) * π * (3)^2 = (4/9) * 9π = 4π ft^2. The area of triangle AOB is (1/2) * 3 * 3 = 4.5 ft^2.

Therefore, the area of the shaded region is 4.5 ft^2 - 4π ft^2 = 4.5 ft^2 - 4π ft^2.

In summary, the length of the arc ADB is (8/3)π ft and the area of the shaded region is 4.5 ft^2 - 4π ft^2.

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Answer:

buy a new car because cars depreciates

Based on the scatterplot, the form of the relationshipbetween fire spread rate and wind speed   can be described as a positive correlation.

As wind speed increases,the fire spread rate also tends   to increase.

b. Direction  -

Based on the given scatterplot,the direction of the relationship between fire spread rate and wind speed appears to   be positive.

As the wind speed   increases,the fire spread rate generally tends to increase as well.

c. Strength  -

The scatterplot suggests a   moderate to strong relationship between fire spread rate and wind speed.

The data points   exhibit a somewhat linear pattern, indicating that there is a noticeable association between these variables.

The firespread rate tends to increase consistently as the wind speed increases, suggesting a relatively strong positive correlation between the two factors.

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Full Question:

Wind and Moisture: To understand how weather and landscape affect the spread of wildfires, an experiment was conducted in a low velocity wind tunnel. A fire was started in pine litter, and the researchers measured the fire spread rate for varying wind speeds and pine litter moisture contents.

Data for fires started in pine litter that had a moisture content of 4% are shown in the table below.

Wind Speed (miles/hour) Fire Spread Rate (feet/minute)

0.76                                         0

1.78                                             2

3.34                                                4

5.38                                       6

8.10                                                8

11.75                                     10

16.70                                    12

A scatterplot of these data is shown here  -

1. Based on the scatterplot, how would you describe the following with regard to the relationship between fire spread rate and wind speed?

a. Form:

b. Direction:

c. Strength:

Given:

The figure with sides measurements.

Required:

Find area of the figure.

Explanation:

First we will draw figure

In figure, we can see that all figure ABIJ, CDHI and EFGH are rectangles.

So, we need area of rectangle formula. That is

So, area of given figure

The transformation that result to moving from  f(x) = x ^ 2 to g(x) = (4x) ^ 2 is

information from the question

Transformation from f(x) = x ^ 2

resulting to g(x) = (4x) ^ 2

The transformation rule given is multiplying 4 to the f(x)

since 4 > 1 the transformation is a sketch

when the stretch is not limited to the x variables alone then we say it is a vertical stretch

applying the rule

f(x) = x ^ 2 * k

if k  > 1 then a stretch occurs

g(x) = k x ^ 2

This is a vertical stretch using 4 as the factor

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By using trigonometry, the missing sides are

Example 1: x = 16.7

Example 2: x = 3.2

Example 3: x = 23.5

Example 4: x = 9.3

From the question we are to determine the value of the missing sides in the given triangles

We can determine the value of the missing sides by using SOH CAH TOA

Example 1

Angle = 42°

Opposite side = x

Hypotenuse = 25

Thus,

sin (42°) = x / 25

x = 25 × sin (42°)

x = 16.7

Example 2

Angle = 75°

Opposite side = 12

Adjacent side = x

Thus,

tan (75°) = 12 / x

x = 12 / tan (75°)

x = 3.2

Example 3

Angle = 36°

Hypotenuse side = x

Adjacent side = 19

Thus,

cos (36°) = 19 / x

x = 19 / cos (36°)

x = 23.5

Example 4

Angle = 53°

Opposite side = x

Adjacent side = 7

Thus,

tan (53°) = x / 7

x = 7 × tan (53°)

x = 9.3

Hence,

The missing sides are 16.7, 3.2, 23.5 and 9.3

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Answer:

D

Step-by-step explanation:

im pretty sure you multiply them together

Answer:

d: 8x2 + 30

Step-by-step explanation:

first multiply 8x by x and get 8x2 (eight x squared) and then multiply 10 x 3 and get 30 then put them together and get 8x2 + 30

Answer:

The width of the rectangular patio is 8 1/4  feet, or as a decimal, 8.25 feet

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

103+103=206

360-206=154

154 divided by 2 equals 77 degrees aka D.

Hope this helped! :)

The numbers which are divisible by 3 are 6, 6, 6, and 9.

What is the divisibility of 3?

The rule of three states that a number is completely divisible by three if the sum of its digits is divisible by three.

Consider the number 308: To determine whether 308 is divisible by three, add the digits together (i.e. 3+0+8= 11). Check to see if the total is divisible by three.

From the given numbers the numbers which are divisible by 3 are:

                         6, 6, 6, and 9.

Hence, The numbers which are divisible by 3 are 6, 6, 6, and 9.

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Answer:

Constant of proportionality; k = 20/3

Step-by-step explanation:

Let running be A and sprinting be B.

Now, we are told that you run 20 seconds for every 3 seconds you sprint.

This means that is directly proportional to B and written as; A ∝ B.

Now, constant of proportionality is simply the ratio between 2 quantities that are directly proportional.

Thus, A = kB

Where k is the constant of proportionality

Plugging in the values of A and B we are given, we have;

20 = 3k

Divide both sides by 3 to get;

k = 20/3