find Si when time is 7 years rate is 7/2 and amount is 398.40​

To find the missing angle measure, we need to use the fact that the sum of angles in a triangle is 180 degrees. Let's denote the missing angle as x. We know that one angle is 38 degrees and another angle is 12.5 degrees.Therefore, the missing angle measure is 129.5 degrees.

By subtracting these two angles from 180 degrees, we get:

180 - 38 - 12.5 = 129.5

Without additional information, it is not possible to determine the remaining parts of the triangle. We would need the lengths of at least one side or the measures of other angles to solve for the missing parts.

The given information states that AC is equal to AB minus mzB. Without knowing the values of AB and mzB, we cannot determine the exact length of AC. We would need additional information to solve for the length of AC.Therefore, the missing angle measure is 129.5 degrees.

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The maximum volume is at x = 0.85 cm. The inequality is 6x³ + 110x² - 200x ≤ 15000

An inequality is an expression that shows the non equal comparison between two or more numbers and variables.

A shipping company will ship a package for $7.50 when the volume is no more than 15,000 cubic centimeters. Hence, if Grace plan as to spend a maximum of $7.50:

Volume (V) = (3x - 5)(2x)(x + 20) = 6x³ + 110x² - 200x

The inequality is:

6x³ + 110x² - 200x ≤ 15000

6x³ + 110x² - 200x - 15000 ≤ 0

x = 10

The maximum volume is at:

V' = 0

V' = 18x² + 220x - 200 = 0

x = 0.85 cm

The maximum volume is at x = 0.85 cm. The inequality is 6x³ + 110x² - 200x ≤ 15000

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Answer:

50 ft

Step-by-step explanation:

The area of a rectangle = width × depth

area = 2,500 ft²

width = 50 ft

Substitute the values into the formula:

2,500 = 50 × depth

Divide both sides by 50 to find the depth:

2500 ÷ 50 = depth

depth = 50 ft

Answer:

Step-by-step explanation:

x+9

Let x, be 4

4+9=13

given condition,

x+9<4x

4+9<4(4)

13<16

The answer is:

Work/explanation:

Our inequality is:

\(\sf{x+9 < 4x}\)

Flip it

\(\sf{4x > x+9}\)

Solve

\(\sf{4x-x > 9}\)

Combine like terms

\(\sf{3x > 9}\)

Divide each side by 3

\(\sf{x > 3}\)

Answer:

Answer to your question ; f(t) = 55 = 4t

Answer:

it is diff because o the parentheses

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

When the median is to the left of the center of the distribution with the right line longer than the left, we can conclude that the data is skewed to the right. Here the mean is larger than the median thus skewing the distribution to the right.

Representing this on an histogram including data will show a better description and also indica the longer right line.

Answer:

this hard

Step-by-step explanation:

Answer: C

Step-by-step explanation:

The value of x in the similar triangle is 6 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:

Hence,

5 / 40 = x / 48

48 × 5 = 40x

240 = 40x

divide both sides by 40

x = 240 / 40

x = 6

Therefore,

x = 6

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We have to find the zeros of f(x):

We apply then the quadratic equation:

The zeros of the function are x1=2 and x2=1.

The amount of money a farmer can make by selling the milk produced by the cow in the month of April is $90

From the equation given, we have that

$3 = I gallon

Let's take it that the farmer sells one gallon by per day

We know that the month of April has 30 days

So if he makes $3 in 1 day

He would make x in 30 days

Collect like terms

$30 × 30 days = amount

Multiply through

Amount = $90

Thus, the amount of money a farmer can make by selling the milk produced by the cow in the month of April is $90

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Answer:

The length and width of the floor of the shed are 8 feet and 5.5 feet, respectively.

Step-by-step explanation:

Given that the shape of the shed is a rectangle, the expression for the area is:

\(A = w \cdot l\)

Where \(w\) and \(l\) are the width and length of the shed, measured in feet. In addition, the statement shows that \(l = 2\cdot w - 3\,ft\). Then, the equation of area is expanded by replacing length:

\(A = w\cdot (2\cdot w - 3)\)

\(A = 2\cdot w^{2} - 3\cdot w\)

If \(A = 44\,ft^{2}\), then, a second-order polynomial is formed:

\(2\cdot w^{2}-3\cdot w - 44 = 0\)

The roots of this equation are found via General Equation for Second-Order Polynomials:

\(w_{1} = \frac{11}{2}\,ft\) and \(w_{2} = -4\,ft\)

Only the first roots is a physically reasonable solution. Then, the length of the shed is:

\(l = 2\cdot \left(\frac{11}{2}\,ft \right)-3\,ft\)

\(l = 8\,ft\)

The length and width of the floor of the shed are 8 feet and 5.5 feet, respectively.

The product and the quotient of the functions are as follows:

(rs)(4) =8

(r / s)(3) = 2

A function relates input and output. It relates an independent variable with a dependent variable.

Therefore, let's solve the function as follows:

r(x) = 2√x

s(x) = √x

Therefore, let's find

(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8

Let's find

(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2

Therefore,

(rs)(4) =8

(r / s)(3) = 2

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Answer:

15

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

to find the average, add the numbers together, then multiply by the quantity.

12+14+16=42

42/3= 14

14 is the average

hope this helped <3333333333333333

Given statement solution is :- The total number of ski trails is 25.

To calculate the total number of ski trails, you need to count the number of distinct entries in the given list. Here is the breakdown of the entries in your list:

2/ 3/1/ 3

31/2 3/1/2

3/2 31/1

2/21/

24/ 12/

112

31/1/2

M

M

31/1

14

After removing duplicate entries and considering each slash (/) as a separator for multiple trails in a single entry, we can identify the following trails:

2, 3, 1, 3 (4 trails)

31, 2, 3, 1, 2 (5 trails)

3, 2, 31, 1 (4 trails)

2, 21 (2 trails)

24, 12 (2 trails)

112 (1 trail)

31, 1, 2 (3 trails)

M (1 trail)

14 (1 trail)

31, 1 (2 trails)

Adding up the number of trails from each entry, we get:

4 + 5 + 4 + 2 + 2 + 1 + 3 + 1 + 1 + 2 = 25

Therefore, the total number of ski trails is 25.

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2,680 pounds of meat

Step-by-step explanation:

Combine the meat:

116 + 18 = 134

Multiple the total amount of pounds by the number of meatballs:

20 × 134 = 2,680

Answer = 2, 680 pounds are needed

Answer:

24.99

Step-by-step explanation:

If the area of the quarter circle is 38.465, then the equation to find this would be

3.14*r^2 / 4 = 38.465. we solve for r, the radius, and get two solutions. 7 and -7. Obviously the length of the radius can't be -7, so we know the radius is 7.

Now we must solve for the perimeter. The perimeter is equal to 2r + (2*3.14*r)/4

Plugging 7 in as the radius, r, we get 24.99 as our final answer.

Answer:

C. -4

Step-by-step explanation:

65+79+40+x=180 because sum if angles in a triangle is equal to 180

184+x=180

x=180-184

x=-4

Answer: \((a-b)(y-1)\)

Step-by-step explanation:

Factoring out (a-b) gives \((a-b)(y-1)\).

The balance for each value of n is calculated by using the formula A = P(1 + r/n) ^nt. The rounded balance values are shown in the last column of the table above.

To complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and compounded n times a year.

The formula for calculating compound interest is as follows:

A = P(1 + r/n) ^nt,

where P represents the principal investment amount, r is the interest rate, n is the number of times the interest is compounded, t represents the time in years, and A represents the total amount, which includes the principal amount and the interest earned.

The table is given below:
\(\begin{array}{|c|c|c|} \hline \text{n} &

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

\text{Balance (rounded to nearest cent)} \\ \hline \text{1} &

\text{3100(1 + 0.04/1)}^{1*10} &

\text{\$4788.03} \\ \hline \text{2} &

\text{3100(1 + 0.04/2)}^{2*10} &

\text{\$4798.76} \\ \hline \text{4} &

\text{3100(1 + 0.04/4)}^{4*10} &

\text{\$4817.46} \\ \hline \text{12} &

\text{3100(1 + 0.04/12)}^{12*10} &

\text{\$4861.94} \\ \hline \end{array}\)

The balance is obtained by substituting the values of P, r, n, and t into the compound interest formula.

In this case, the investment is $3100, the annual interest rate is 4%, the investment is for 10 years, and n is the number of times the interest is compounded.

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Answer:

x² - 11x

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify.

3x² - 8x - (2x² + 3x)

Step 2: Simplify

Answer: 40.425

Step-by-step explanation: multiply 57.75 by .3 to get 17.325 and then subtract that from the original amount

Answer:179

Step-by-step explanation:

Answer:

179

Step-by-step explanation:

\(( {3}^{2} - {2}^{2} )^3 + 42 \div 6 \times {3}^{2} - 9 \\ \\ = (9 - 4)^3 + 42 \times \frac{1}{6} \times 9 - 9 \\ \\ = 5^3 + 7 \times 9 - 9 \\ \\ = 125 + 63 - 9 \\ \\ = 125 + 54 \\ \\ = 179\)

5π/3=5π/3×180/π=300°

300° is the correct answer

Answer:

300 degrees

Step-by-step explanation:

To convert from radians to degrees, multiply by 180/ pi

5 pi /3  * 180/pi

5/3 * 180

5 * 60

300

Answer:

3-270x

Step-by-step explanation:

Answer:

m = 45/7

Step-by-step explanation:

move terms :

49 - 3m - 4m = 4

-3m - 4m = 4 - 49

collect like terms

-7m = 4 - 49

-7 = -45

divide both sides of the equation by -7

= m = 45/7

Answer:

m = 6.43

Step-by-step explanation:

49 - 3m = 4m + 4

1. subtract 4 from both sides

  45 - 3m = 4m

2. add 3m to both sides

  45 = 7m

3. divide by 7

  6.428571429 = m

4. round to nearest hundreths

   6.43

Answer:

Balance ≈ $7,722 after 31 years

Step-by-step explanation:

Ex.

2, 700(0.06) =$162.  

162(31)= $5,022.

5,022 + 2,700 = $7,722.

To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.

The function value at x = 10 is:

f(10) = 1.85(10)^2 = 185

The function value at x = 20 is:

f(20) = 1.85(20)^2 = 740

The length of the interval is:

20 - 10 = 10

So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:

(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5

Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.

Answer:

Take a look at the 'proof' below

Step-by-step explanation:

The graph of the function g(x) is similar to that of the function f(t). The local minimum, local maximum, absolute minimum, maximum etc... of 'x' is always the closest x-intercept of the graph of f(t).

Let's check if this statement is right. The two local minimum(s) of the function f(t) occurs at x = 2, and x = 6. The two local maximum(s) occur at 1/4 and 4. As you can see the maximum / minimum of the function g(x) is always an x-intercept, x = 3, x = 7.

For part (b) the absolute maximum value of the function f(t), is 8. The closest x-intercept is 9, which is our solution.

Step-by-step explanation:

From x=0 to x=1, the function is above the x-axis, so the area is positive.

From x=1 to x=5, the area above the x-axis is greater than the area below the x-axis, so the net area is positive.

From x=5 to x=9, the area above the x-axis is greater than the area below the x-axis, so the net area is positive.

Since the area increases in each interval, the area is a maximum at x=9.