The hypotenuse of the right triangle ABC shown below is 15 feet long. The sine of angle A is 3/5. How many feet long is AC?

Answer:(5,7)

Step-by-step explanation:

I use this graph/graphing calculator or remember this rule

When theres a reflection over the x axis, all the X values say the same and all of the y values are the opposite.

x=5 y=-7 the x aka 5 stays the same and the opposite of -7 is 7

(5,-7) Turns into (5,7)

The future value of a $7,000 investment at a 3% annual compound interest rate after one year is $7,210. The future value after two years would be $7,429.30.

The future value of an investment with compound interest can be calculated using the formula:

Future Value = Principal Amount * (1 + Interest Rate)^Number of Periods

For the given investment of $7,000, the interest rate is 3% and the number of periods is one year. Substituting these values into the formula, we get:

Future Value = $7,000 * (1 + 0.03)^1 = $7,210

To calculate the future value after two years, we use the same formula with the number of periods as two:

Future Value = $7,000 * (1 + 0.03)^2 = $7,429.30

For a $10,000 investment, after five years with an annual interest rate of 8%, the future value would be $14,693.28.

a. If the interest rate is a simple interest rate, the future value would be calculated using the formula:

Future Value = Principal Amount * (1 + Interest Rate * Number of Periods)

Substituting the given values into the formula, we get:

Future Value = $10,000 * (1 + 0.08 * 5) = $14,000

b. If the interest rate is a compound interest rate, we use the same formula as in question 1:

Future Value = $10,000 * (1 + 0.08)^5 = $14,693.28

For a $5,000 investment, the future value can be calculated as follows:

a. At 5% for 10 years: Future Value = $5,000 * (1 + 0.05)^10

b. At 7% for 7 years: Future Value = $5,000 * (1 + 0.07)^7

c. At 9% for 4 years: Future Value = $5,000 * (1 + 0.09)^4

Choose one of the three options (a, b, or c) to calculate the specific future value for the $5,000 investment.

a. The future value of a $2,500 investment after 3 years at a nominal interest rate of 9% with annual compounding can be calculated using the formula:

Future Value = Principal Amount * (1 + Interest Rate)^Number of Periods

Substituting the given values into the formula, we get:

Future Value = $2,500 * (1 + 0.09)^3 = $3,386.46

b. Considering an expected inflation rate of 3% per year, the future value of the investment would be adjusted for inflation. We need to calculate the real rate of return by subtracting the inflation rate from the nominal interest rate:

Real Rate of Return = Nominal Interest Rate - Inflation Rate

Real Rate of Return = 9% - 3% = 6%

Using the real rate of return, we can calculate the future value adjusted for inflation using the same formula as before:

Future Value Adjusted for Inflation = Principal Amount * (1 + Real Rate of Return)^Number of Periods

Future Value Adjusted for Inflation = $2,500 * (1 + 0.06)^3 = $3,077.59

Therefore, after considering inflation, the future value of the investment would be $3,077.59.

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Answer:

Cost Price

Step-by-step explanation:

The price at which an item is purchased by a shopkeeper is known as the Cost Price.

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Answer: 2x+6xy+5y+11

Step-by-step explanation:

Using linear function to solve this problem, for every 1 gallon of gas, Francisco travelled 27.9 miles

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2. A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. where m is slope of the line and b is the y - intercept

We can use the data given in writing out our equation

390.6 = 14x

If 14 gallons = 390.6 miles

 1 gallon = x miles

x = 390.6 / 14

x = 27.9 miles

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Answer:

Substitute

Step-by-step explanation:

Substitute the values given in the function

and you will get the answer.

P.s. It depends on the question

The perimeter of the triangle is 24.3 units.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

Triangle vertices:

(1,5), (1,-4), (-4,-4)

Now,

Using the distance formula,

The distance between (1, 5) and (1, -4).

D(1) = √(1 - 1)² + (5 + 4)²

D(1) = √9²

D(1) = 9

The distance between (1, -4) and (-4, -4) is:

D(2) = √(1 + 4)² + (-4 + 4)²

D(2) = √(5²

D(2) = 5

The distance between (-4, -4) and (1, 5) is:

D(3) = √(-4 - 1)² + (-4 - 5)²

D(3) = √(25 + 81)

D(3) = √106

Now,

The perimeter of the triangle.

P = d(1) + d(2) + d(3)

P = 9 + 5 + √106

P = 9 + 5 + 10.30

P = 24.3

Thus,

The perimeter of the triangle with vertices (1,5),(1,-4),(-4,-4) is 24.3 units.

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Answer:

You just do

Step-by-step explanation:

Answer:

just click the thing that says "Ask blah blah about this question..."

Step-by-step explanation:

By following these steps, you should be able to find the number of counties in Texas with childcare programs offering nighttime care for children.

To answer your question about how many of the 254 counties in Texas have child care programs that state they provide nighttime care for children, we would need to access current data on child care programs in Texas. Unfortunately, I do not have that specific data at the moment. However, I can guide you on how to find this information.
Begin by visiting the Texas Health and Human Services website (https://hhs.texas.gov) as they are responsible for overseeing child care licensing in the state. Look for information on licensed child care facilities that provide nighttime care.
Utilize websites such as Child Care Aware (https://www.childcareaware.org) or Child Care Finder (https://childcarefinder.com), where you can search for child care programs in Texas by county, and filter your search to include only programs offering nighttime care.
You may also want to check with local county websites or contact the County Clerk's office for information on child care programs within their jurisdiction, specifically those offering nighttime care.
Compile the data gathered from the above sources to determine how many of the 254 Texas counties have child care programs providing nighttime care for children.
By following these steps, you should be able to find the number of counties in Texas with child care programs offering nighttime care for children.

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The major determinant of the permeability of a membrane to a specific ion is "the quantity of open ion channels that are specific to that ion."

Certain cells, known as excitable cells, are distinguished by their capacity to produce electrical signals.

Some key features regarding the open ion channels are-

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Answer:

15 feet

Step-by-step explanation:

A typical diagram has been shown.

Joel's hand touches the bottom of the pool, point A as shown, 12 feet below the surface of the water.

Todd's foot is at the diving platform, at point B as shown, 3 feet above the surface of the water.

Let S be the point on the surface of the water.

So, the vertical distance between Joel's hand and todd's feet

=AS+SB

=12+3

=15 feet.

Answer:

Answer attached

Step-by-step explanation:

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer:

the answer is 45 dollars

Step-by-step explanation:

its because:

Answer:

25 dollors hope this helps

Step-by-step explanation:

Answer:

=3.5(-2.3) - 9.75

= -8.05 - 9.75

= negative 17.8

Step-by-step explanation:

Hope this helped and pls give me brainliest!

Answer:

122 strawberries

Step-by-step explanation:

divide 2928 by 24 to get the number of strawberries in each box

\( \large \tt \: m = - \frac{3}{7} \)

Answer:

slope = - \(\frac{3}{7}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, \(\frac{2}{7}\) ) and (x₂, y₂ ) = (1, \(\frac{5}{7}\) )

m = \(\frac{\frac{5}{7}-\frac{2}{7} }{1-2}\) = \(\frac{\frac{3}{7} }{-1}\) = - \(\frac{3}{7}\)

Answer:

Step-by-step explanation:

450

The mean of the triangular dots is 4, the median is 8 and the range is 6.

How to determine the Measures of central tendency?

A measure of central tendency is defined as a single value that attempts to describe a set of data by identifying the central position within the given set of data.

From the question, the parameters are dots that will form triangle as

                  .

             .   .    .

         .    .    .   .    .

      .   .   .     .   .    .   .

Total mumber of dots is 1+3+5+7=16

These parameters are represented as follows:

The mean is the average of all the dots that formed the triangle

Mean value of the set of data = \(\frac{16}{4} =4\)

The median is the middle number when arranged in ascending or descending order of magnitude

The median is \(\frac{16}{2} =8\)

The range is the highest value minus the lowest value in the dots

The range is 7-1=6

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Answer:

-34

Step-by-step explanation:

\(-4[(-3*9) + (2*3)^2] + 2\)

Now we follow the rules of PEMDAS

Which stands for

Parentheses

Exponents

Multiplication

Division (from left to right)

Addition

Subtraction (from left to right)

Parentheses

\(-4[(-3*9) + (2*3)^2] + 2\)

Exponent

\(-4[(-27) + (6)^2] + 2\)

Addition

\(-4[(-27) + 36] + 2\)

Multiplication

\(-4[9] + 2\)

Addition

\(-36 + 2\)

Answer

\(-34\)

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The radius of convergence of the series ∑(cn + dn)Xⁿ  is at least 5.

Thus, we can say that both series converge absolutely for |x| < 5 and |x| < 6, respectively.The radius of convergence of a series is defined as the distance from the center of the series to the closest point where the series converges.

The radius of convergence for the series

∑(cn + dn)Xⁿ

can be determined using the following formula:

R = \(\frac{1}{\lim\limits_{n\to\infty} \sup \sqrt[n]{|c_n + d_n|}}\)

Here, cn and dn are the nth terms of the respective series. The limit superior is taken as n approaches infinity.To simplify the calculation, we can take the larger of the two radii of convergence.

∑(cn + dn)Xⁿ

is at least 5 since it is less than or equal to the radius of convergence of the series ∑dn^xⁿ .

Therefore, we can say that the radius of convergence of the series ∑(cn + dn)Xⁿ is at least 5.

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Answer:

B?

Step-by-step explanation:

Answer:

Proper fractions with a denominator of 6: 1/6, 2/6, 3/6, 4/6, 5/6.

Step-by-step explanation:

A proper fraction means that the numerator is less than the denominator.

Examples of this are 1/3, 3/4, 2/7.

Since the denominator must be 6, hence the answers are 1/6, 2/6, 3/6, 4/6, 5/6.

We know that the number line is in 12ths. In addition, we know that 6ths are  1/2 of 12. Thus, we put a proper fraction on every other line on the number line.

The length of Stan's movie is 2 hours 25 minutes

The length of Talia's movie is 2 hours 55 minutes.

In order to determine the length of the movies, subtract the end time of the movie from the time the movie started.

Subtraction is the mathematical operation that is used to calculate the difference between two or more numbers. The sign that is used to represent subtraction is -.

Length of the movie = time the movie ended - time the movie started

Length of Stan's movie = 9:40 - 7:15 = 2 : 25 hours

Length of the Talia's movie = 10 : 10 - 7 : 15 = 2 : 55 hours

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Answer:

xyz plz my answer as brainliest

Answer:

Angle XYZ

Step-by-step explanation:

An angle can be named by either of the ending points, however the center point must always be in the center of the angle name.

The resulting regression was predicted GPA is 3.1 Predict the outcome of one variable from the outcome of a second variable.

The variable we are predicting is called the reference variable and is denoted as Y. The variable on which the prediction is based is called the predictor and is denoted as X. The magnitude of the correlation coefficient indicates the strength of the association. A prediction is a statement intended to tell you something about the future.

Predicted grades are qualifying grades that an applicant's school or college is expected to achieve under favorable circumstances. These predicted grades are used by colleges as part of the admissions process to help understand an applicant's potential. The expected result of an experiment is derived from a hypothesis or theory. This is a guess at the possible outcome of the scenario.

GPA= 3.1+3.6+1.6+3.1+4.1/ 5= 15.5/5 = 3.1

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Answer: 8.5 miles

Step-by-step explanation:

Given information

Base fee = $3.00

Fee per mile = $2.00

Distance = x

Total money spend = $20

Set equation

3 + 2x = 20

Subtract 3 on both sides

3 + 2x - 3 = 20 - 3

2x = 17

Divide 2 on both sides

2x / 2 = 17 / 2

\(\boxed{x=8.5}\)

Hope this helps!! :)

Please let me know if you have any questions

The function m(t) determines Tim's vertical distance above the horizontal diameter of the Ferris wheel, measured in radii, in terms of the number of seconds elapsed, t, Tim started to rotate from the 3 o'clock position.

The Ferris wheel can be visualized as a circle, with the horizontal diameter representing the ground level. As Tim rotates on the Ferris wheel, his vertical distance above the ground level changes.

To determine Tim's vertical distance in terms of time, we can use a sine function to model the motion. The sine function oscillates between -1 and 1, with a period of 2π radians. If we consider the starting point at the 3 o'clock position as 0 radians, the equation for the function m(t) can be written as m(t) = sin(t).

In this equation, t represents the number of seconds elapsed since Tim started rotating from the 3 o'clock position. As t increases, Tim's vertical distance above the horizontal diameter will vary sinusoidally. The values of m(t) will range between -1 and 1, with 0 representing the horizontal diameter.

By using the sine function, we can determine Tim's vertical position at any given time t, measured in radii.

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The volume of a sphere with radius 10 units was found to be approximately 42 cubic units.

The volume of a sphere can be calculated using the formula:

V = (4/3) * π * r^3

Where, r is the radius of the sphere. In this case, the radius is 10 units, so we can plug in the values and calculate the volume:

V = (4/3) * π * 10^3 = 4184 cubic units

So, the approximate volume of the sphere with a radius of 10 units is 4184 cubic units.

Rounding off to the nearest whole cubic unit, 4184 cubic units becomes 42 cubic units.

Volume of a sphere is the amount of space inside a sphere.

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The marginal cost of the function C(Q) = aQ^3 + bQ^2 + cQ + d is given by MC(Q) = 3aQ^2 + 2bQ + c.

To find the marginal cost, we need to differentiate the cost function C(Q) with respect to Q. Let's differentiate each term separately:

d/dQ (aQ^3) = 3aQ^2

d/dQ (bQ^2) = 2bQ

d/dQ (cQ) = c

Adding these differentials together, we get the marginal cost:

MC(Q) = 3aQ^2 + 2bQ + c

The critical Q* at which the cost is minimized can be found by setting the marginal cost MC(Q) equal to zero and solving for Q. However, to determine the condition on a, b, c, and d for cost minimization, we would need more information or constraints related to the problem.

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