Coach Burgess drew a right triangle on the board. He said the hypotenuse was 13 inches and one of the legs was 5 inches. What is the length of the other leg? Round to the the tenths place

Answers

Answer 1

The length of the other leg is 12 inches.

What is the Pythagorean theorem?

The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

The hypotenuse of a right triangle is the side opposite the right angle, and the legs of a right triangle are the two sides that are adjacent to the right angle.

If we know the length of the hypotenuse and one leg of a right triangle, we can use the Pythagorean theorem to find the length of the other leg.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

We can use this theorem to write the equation:

c² = a² + b²

where c is the length of the hypotenuse, and a and b are the lengths of the legs.

In this problem, the hypotenuse is 13 inches and one of the legs is 5 inches. We can substitute these values into the equation to find the length of the other leg:

c² = a² + b²

(13)² = a² + (5)²

169 = a²+ 25

144 = a^2

a = 12

Hence, the length of the other leg is 12 inches.  

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Related Questions

Reduce to the standard form

1) -18/45
2) -3/-15
3)28/56
4)45/99

Answers

The fractions reduced to standard form are -2/5, 1/5, 1/2 and 5/11 for 1), 2), 3), and 4) respectively

How to reduce fractions to standard form?

To reduce a fraction to standard form, you need to divide both the numerator (the top number) and the denominator (the bottom number) by their greatest common divisor (GCD). The GCD is the largest number that can be evenly divided into both the numerator and the denominator.

Given:

1) -18/45

The GCD of 18 and 45 is 9. Thus:

-18/45 = -2/5

2) -3/-15

The GCD of 3 and 15 is 3. Thus:

-3/-15 = 1/5

3) 28/56

The GCD of 28 and 56 is 28. Thus:

28/56 = 1/2

4) 45/99

The GCD of 45 and 99 is 9. Thus:

45/99 = 5/11

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1)-6/15

2)1/5

3)1/2

4)5/11

1) -18/45

⇒-6/15

2)-3/-15

⇒-1/-5

⇒1/5

3)28/56

⇒4/8

⇒1/2

4)45/99

⇒15/33

⇒5/11

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A bakery used `25\%` less butter this month than last month.



The bakery used `240` kilograms of butter this month.



How much did it use last month?

Answers

In linear equation, The amount of butter used is an illustration of equivalent ratio.

The amount of butter used last month is 300kg.

What is  a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                           The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Because the bakery used 25% more last month, the amount they used is then calculated using

     Amount = ( 1 + 25%) * last month

Substitute 240kg for Last Month

  Amount = ( 1 + 0.25) * 240

Remove brackets

Amount = 1.25 * 240kg

              = 300 kg

Hence, the amount of butter used last month is 300kg.

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Graph the function and analyze it for domain, range, continuity, increasing or decreaseing behavior, symmetry, boundedness,
extrema, asymptotes, and end behavior.
f(x)=3•e^2x

Answers

A graph is a collection of points and the connections between some subset of those points that may or may not be empty in mathematical terms.

What are the values of the terminologies of the graph ?

The given function is f (x ) = [tex]3e^{2x}[/tex]

1. Domain :

The function has no undefined points or domain constraints . Therefore the domain is -∞ < x < ∞ .

2.Range :

The range of the exponential function is of the form f(x) > kSince k = 0,   f(x) > 0

3.Continuity:

The graph is a single, continuous curve (i.e. a curve that can be drawn in one movement without taking your pen off the paper). We can observe that the function is basically  continuous.

4.Behaviour that is either increasing or decreasing:

For any x in the domain, as x grows, f(x) shrinks. This indicates that the function behaves in a diminishing manner.

5.Symmetry:

It is clear to see the graph of f(x) has no symmetry.

6.Boundedness:

When we choose negative values, the graph of f(x) expands upward exponentially, showing that it is unbounded above.

7.Extrema:

There are no extreme points for the function.

8.Asymptotes:

This curve does not have any vertical asymptotes, despite the way it seems. Simply put, the curve's negative-x region is expanding so swiftly that it resembles an asymptote. For any x < 0, there is a value for f(x). However, a horizontal asymptote exists , y = 0.

9.End behaviour :

As [tex]\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty[/tex] As,[tex]\:x\to \:-\infty \:,\:f\left(x\right)\to \:0[/tex]Refer image for graph.

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For what values of x, y, and z is this a parallelogram?

Answers

The values of x = 19.5, y= 17, and z=30.6 is not valid for the parallelogram.

What are the Properties of Angles of a Parallelogram?

A parallelogram is a quadrilateral with equal and parallel opposite sides. There are some special properties of a parallelogram that make it different from the other quadrilaterals.

The opposite angles of a parallelogram are congruent (equal). All the angles of a parallelogram add up to 360°. All the respective consecutive angles are supplementary.

The consecutive angles are supplementary then,

5y + 7y - 24 = 180

12y = 180 + 24

12y = 204

y = 204/12

y = 17

The opposite angles of a parallelogram are congruent (equal) then,

5y = 4x + 7

5(17) = 4x + 7

85 = 4x + 7

85 -7 = 4x

4x = 78

x = 78/4 = 19.5

x = 19.5

the consecutive angles are supplementary, then

4x + 7 + 3z = 180

4(19.5) + 7 + 3z = 180

78 + 7 + 3z = 180

85 + 3z = 180

3z = 180 - 88

3z = 92

z = 92/3

z = 30.6

All the angles of a parallelogram add up to 360°, then:

4x + 7 + 3z + 5y +7y - 24 = 360

To check is this a parallelogram? put the values of x, y, and z in the above equation:

4(19.5) + 7 + 3(30.6) + 5(17) +7(17) - 24 = 360

356.8 ≠ 360

hence, the values of x = 19.5, y= 17, and z=30.6 is not valid for the parallelogram.

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Determine the perimeter of the right triangle shown. Round your final answer to the nearest whole number, if necessary.

Answers: 7 units
14 units
25 units
26 units

Answers

answer : 26

steps

get hypotenuse

a² + b² = c²

7² + 8² = c²

49 + 64 = c²

113 = c²

square root of c is √113 which 10.63

7 + 8 + 10.63 = 25.63

Given the side measures, which of the following could form a right triangle?

A. 61 m, 60 m, 11 m
B. 24 in, 34 in, 28 in
C. 55 ft, 45 ft, 35 ft
D. 48 cm, 46 cm, 15 cm​

Answers

The side measures that could form a right triangle are B (24 in, 34 in, 28 in) and C (55 ft, 45 ft, 35 ft).

What is the right triangle is triangle?

A right triangle is a triangle in which one angle measures 90 degrees. The sides of a right triangle can be used to determine if a triangle is a right triangle using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Using this information, we can determine which of the given sets of side measures could form a right triangle:

A. 61 m, 60 m, 11 m: We can use the Pythagorean theorem to see if these sides could form a right triangle. We'll let the hypotenuse be the side with a length of 61 m, and the other two sides are the ones with lengths of 60 m and 11 m. Plugging these values into the Pythagorean theorem, we get:

(61 m)² = (60 m)² + (11 m)²

61² = 60² + 11²

61² ≠ 60² + 11²

Since the left side does not equal the right side, these sides cannot form a right triangle.

B. 24 in, 34 in, 28 in: Using the Pythagorean theorem, we can see that these sides could form a right triangle:

(34 in)² = (24 in)² + (28 in)²

34² = 24² + 28²

34² = 24² + 28²

The left side equals the right side, so these sides could form a right triangle.

C. 55 ft, 45 ft, 35 ft: Using the Pythagorean theorem, we can see that these sides could form a right triangle:

(55 ft)² = (45 ft)² + (35 ft)²

55² = 45² + 35²

55² = 45² + 35²

The left side equals the right side, so these sides could form a right triangle.

D. 48 cm, 46 cm, 15 cm: Using the Pythagorean theorem, we can see that these sides could not form a right triangle:

(48 cm)² ≠ (46 cm)² + (15 cm)²

48² ≠ 46² + 15²

Since the left side does not equal the right side, these sides cannot form a right triangle.

Hence, The side measures that could form a right triangle are B (24 in, 34 in, 28 in) and C (55 ft, 45 ft, 35 ft).

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Find the inverse of f(x) = 2(x-2) ^2 +1
Find the inverse of y = ^3√x-3

Answers

Answer:

f^-1(x) = 2(x-2)^2 + 1

f^-1(x) = (x+3)^3

Step-by-step explanation:

The inverse of a function is found by switching the roles of the dependent and independent variables. In other words, we can find the inverse of a function by interchanging the x and y values in the equation. So, the inverse of the function f(x) = 2(x-2)^2 + 1 can be written as f^-1(x) = 2(x-2)^2 + 1.

1. To find the inverse function explicitly, we can use the following steps:

2. Replace f(x) with y in the original function to obtain y = 2(x-2)^2 + 1.

3. Solve for x in terms of y to obtain x = +/- sqrt((y-1)/2) + 2.

The inverse function f^-1(x) can then be written as f^-1(x) = +/- sqrt((x-1)/2) + 2.

Note that this inverse function is not a one-to-one function, because for some values of x (namely, x < 1), the function has two possible values of y (i.e. it has two solutions). Therefore, the inverse function is not a function in the strict mathematical sense, but it is still a useful concept in certain contexts.

To find the inverse of a function, we switch the roles of the dependent and independent variables, so the inverse function can be written as x = ^3√y-3.

1. To find the inverse function explicitly, we can use the following steps:

2. Replace y with x in the original function to obtain x = ^3√y-3.

3. Solve for y in terms of x to obtain y = (x+3)^3.

The inverse function can then be written as f^-1(x) = (x+3)^3.

Note that this inverse function is a one-to-one function, meaning that for every value of x, there is only one corresponding value of y. Therefore, the inverse function is a function in the strict mathematical sense.

What is the value of p in the equation 8p 2 = 4p - 10?

Answers

Answer:

Step-by-step explanation:

You mix 1 fourth cup of crisp wheat cereal with 1 1 half cups of crisp rice cereal. Find and interpret the value of the ratio of crisp wheat cereal to crisp rice cereal.

The amount of crisp wheat cereal is _____ the amount of crisp rice cereal

Response:

Answers

Answer:

The value of the ratio of crisp wheat cereal to crisp rice cereal is 1/4 to 1 1/2, which can be simplified to 1/4 to 3/2. This means that for every 4 parts of crisp wheat cereal, there are 3 parts of crisp rice cereal. The amount of crisp wheat cereal is therefore less than the amount of crisp rice cereal. Specifically, the amount of crisp wheat cereal is 1/4 * the amount of crisp rice cereal.

Step-by-step explanation:

HELP PLEASEEEE ASAP
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $29,521. The variable costs will be $12 per book. The publisher will sell the finished product to bookstores at a price of $25.25 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Answers

Answer:

2,228

Step-by-step explanation:

Each unit will make 13.25 in profit before incorporating the one time cost. This means that 29,521/13.25= the amount needed to break even.

need help! can't figure it out :/​

Answers

Answer:

please tell me if you get the answer. I need it too!

What is sin(60) in degrees?

Answers

Answer:

(sqrt3)/2

Step-by-step explanation:

Sin(x)=opposite/hypotenuse

30, 60, 90 right triangle.

ratio of sides are 1, sqrt3, and 2.

Locate the 60 degree angle on the triangle

The opposite side is sqrt3

The hypotenuse is 2

so its (sqrt3)/2

Answer:

√3/2 or 0.866

Step-by-step explanation:

The ratio of a to b is 4/7. If a is 16, find the value of b.

Answers

Answer:

B=28

Step-by-step explanation:

Graph the line that has a slope of -4/3 and includes the point ( -6,2) ​

Answers

The equation of the line is 3y = -4x + 18 and the Graph can draw as given in the picture.

Slope intercept form:

The slope-intercept form a line is given by  

                            y = mx + c,

where m is the slope of a line and c is the y-intercept.

Here we use the Slope intercept form to find the line of the equation by using the equation we will draw the graph of the line

Here we have

Slope of line = -4/3

The point of the line

As we know y = mx + c is the line Here m is the slope of the line

From the given data, m = -4/3

=> y = (-4/3)x + c

=> 3y = -4x + 3c

Given that the point on the line is (-6, 2)

=> 3(2) = -4(-6) + 3c

=> 6 = 24 + 3c

=>  3c = 18

=> c = 6

Therefore,

The equation of the line is 3y = -4x + 18 and the Graph can draw as given in the picture.

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Matthew Westhoven deposited $925 in a new regular savings account that earns 5.5% interest compounded semiannually for 1 year. What is the compound interest?

Answers

The compound interest received by Matthew Westhoven is $51.80

What is compound interest?

The interest you earn on interest is known as compound interest. Simple math may be used to demonstrate this: if you have $100 and it generates 5% interest annually, you will have $105 at the end of the first year. You'll have $110.25 after the second year is over.

Given, the principal amount (P) = $925

Compound interest percentage (r) = 5.5% = 0.055

Time period (t) = 1

Since, it is semiannually compounded (n) = 2*t = 2

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

= 925(1 + 0.055/2)^2

= 925(1.0275)^2

= 925(1.056)

= 976.80

Thus, Interest amount (CI) = A - P

= $976.80 - $925

= $51.80

The compound interest received by Matthew Westhoven is $51.80

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A right triangle is shown, where the horizontal leg has a measure of 48 centimeters (cm), and the hypotenuse has a measure of 73 cm.

Answers

Answer:

55

Step-by-step explanation:

Using the Pythagorean theorm:

a^2+b^2=c^2

48^2+b^2=73^2

b^2=73^2-48^2

b^2=3025

b=55


7. Use the Division Property of Equality to write an equation that is
equivalent to 5x = 14.

Answers

Answer: x = 14/5 or x = 2.8

Step-by-step explanation:

Step 1: Divide both sides of the equation by five: a common nonzero real number.

(5x)/5= 14/5

Step 2: Simplify

x = 14/5

on the number line, the distance between x and y is greater than the distance between x and z. does z lie between x and y on the number line?

Answers

yes, z can lie between x and y but z can also lie on another side of x in Number lines.

With an example, define number line?

Number lines in mathematics are horizontal straight lines on which numbers are arranged in equal intervals.

                  A number line can be used to visualize all the numbers in a succession. The endpoints of this line go on forever.

What does the math number line mean?

A horizontal line with uniformly spaced numerical increments is called a number line. How the number on the line can be answered will depend on the numbers that are provided.

                               How a number is used—for example, to plot a point—depends on the question that goes with it.

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how to find the standard deviate and variance of a discrete random variable in ap stats organic chem tutor

Answers

Calculation the variance and standard deviation of the discrete random variable is given by σ² = [tex]\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}[/tex] and standard deviation is the square root of Variance 'σ' = [tex]\sqrt{\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}}[/tex].

As given in the question,

Variance is used to represent the dispersion of the values in the data from the calculated mean.[tex]( x_{i} - \bar{x})[/tex] represent the dispersion of the given data values from the mean.Variance is given by σ² = [tex]\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}[/tex] Standard deviation is the square root of the variance it represents the amount of dispersion of all the given data values.Standard deviation is given by 'σ' = [tex]\sqrt{\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}}[/tex].

Therefore , the variance and standard deviation of the discrete random variable is calculated with the help of the following formulas:

Variance 'σ²' = [tex]\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}[/tex]  and standard deviation  'σ' = [tex]\sqrt{\frac{\sum\limits^n_1{(x_{i}-\bar{x}) } \,}{n-1}}[/tex].

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This question has two parts. First, answer Part A. Then, answer Part B.
Part A
The expressions in the table represent the number of canned goods collected by two homerooms during a charity food drive.



Homeroom Cans Collected
Mr. Juarez 8n−7
Ms. Wade 6n+3


Write an expression that shows the total number of cans collected by both homerooms.


Part B
The students in Mr. Juarez's homeroom collected more cans than students in Ms. Wade's homeroom. Write an expression that represents how many more cans were collected.

Answers

The expression that shows the total number of cans collected by both homerooms is 14n - 4

The expression for more cans collected is 8n - 7 > 6n + 3

The total number of cans collected

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

Homeroom      Cans Collected

Mr. Juarez        8n−7

Ms. Wade         6n+3

The total number of cans collected is calculated as

Cans collected = Mr. Juarez + Ms. Wade

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

Cans collected = 8n - 7 + 6n + 3

Evaluate the like terms

Cans collected = 14n - 4

How many more cans were collected

Here, we have

Mr. Juarez's homeroom collected more cans

This means that

Mr. Juarez > Ms. Wade

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

8n - 7 > 6n + 3

Hence, the expression is 8n - 7 > 6n + 3

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What are the slope and Y intercepted of the relationship?

Answers

The slope of the equation 10x+5y-15=0 is -2 and the y-intercept is 3.

What is the slope-intercept form of the line?

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y-intercept (0, b). In the formula, b represents the y value of the y-intercept point.

To find the slope of the equation, we need to put it in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

To do this, we can first divide both sides of the equation by 5 to get:

2x + y - 3 = 0

Then, we can add 3 to both sides to get:

y = -2x + 3

Now comparing the equation with y = mx + c, we can say that

the slope is -2 and the y-intercept is 3.

Hence, the slope of the equation 10x+5y-15=0 is -2 and the y-intercept is 3.

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Find the lengths of segments AD and BD. Then check your answers using a different method.

Answers

Answer:  BD = 5

Step-by-step explanation:

Using the Pythagorean theorem [tex]a^{2} + b^{2} =c^{2}[/tex] where c is the hypotenuse, we can solve for BD

[tex]a^{2} +12^{2} =13^{2}[/tex]

[tex]a^{2} =13^{2}-12^{2}[/tex]

[tex]a = \sqrt{25}[/tex]

[tex]a = 5[/tex]

Therefore BD = 5

member c: works 7 hours per week at $7.25 per hour member d: works 9 hours per week at $6.35 per hour a. a and b b. a and c c. b and c d. b and d

Answers

Only member B and D will reach their goal.

Given;

Amount to be saved = $285

Total time to save money = 5 weeks

Now,

For member A:

Working hours = 8 per week

per hour earnings = $6.15

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hour

= 8 × 5 × 6.15

= $246

For member B:

Working hours = 10 per week

per hour earnings = $5.85

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hours

= 10 × 5 × 5.85

= $292.5

For member C:

Working hours = 7 per week

per hour earnings = $7.25

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hours

= 7 × 5 × $7.25

= $253.75

For member D:

Working hours = 9 per week

per hour earnings = $6.35

Therefore,

The total amount collected

= working hours per week × Total weeks × Earning per hours

= 9 × 5 × $6.35

= $285.75

Since, the amount earned by member B and D is greater than the goal amount and the amount earned by member A and C is less than the goal amount

therefore,

Only member B and D will reach their goal

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Your question is incomplete. Please find the missing content below:

To be able to go on the band trip, four band members each get a part-time job. Each person has 5 weeks in which to save his or her money. Analyze the four individual plans below and decide which of the four people will reach his or her goal of saving $285? Member A: Works 8 hours per week at $6.15 per hour Member B: Works 10 hours per week at $5.85 per hour Member C: Works 7 hours per week at $7.25 per hour Member D: Works 9 hours per week at $6.35 per hour

Mrs. Boggs asked her students to create a cylinder to hold
chocolate candies using a standard piece of paper (8.5 inches by 11 inches.)

Some of the students made cylinders that were 11 inches tall, and others created cylinders that were 8.5 inches tall.

The students began discussing the amount of chocolate candies
that each person could store. Oliver said that each cylinder
would hold the same amount of chocolate candies because they used the same size paper. Anna disagreed.

Who is correct? Try it out with a piece of paper and then use the calculations on the next page to compare.

Answers

The cylinder made with a paper size of 8.5 inches by 11 inches is having more volume and thus contains more chocolate, so, the statement by Oliver is wrong.

What is cylinder?

A cylinder is a three-dimensional solid that maintains two parallel bases spaced at a set distance from one another. These bases often have a circular form (like a circle).

Given:

The size of the first paper = 8.5 inches by 11 inches,

The size of the second paper = 11 inches by 8 inches,

The width of the paper when folded becomes the circumference of the cylinder circle, so,

Circumference of the cylinder for the first case = 2 × π × r

11 = 2 × π × r,

r = 1.75 inches,

The volume of the cylinder for the first case = π × r² × h

The volume of the cylinder for the first case = π × (1.75)² × 8.5

The volume of the cylinder for the first case = 81.78 inches³

Calculate the volume for the second case,

Circumference of the cylinder for the second case = 2 × π × r,

8.5 = 2 × π × r

r = 1.35 inches

The volume of the cylinder for the second case = π × (1.35)² × 11

The volume of the cylinder for the first case = 63.24 inches³

As we know, the cylinder with a higher volume contains more chocolate.

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A school is arranging a field trip to the zoo. The school spends 546.53 dollars on passes for 40 students and 3 teachers. The school also spends 351.60 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?

Answers

There are $21.5 money was spent on a pass and lunch for each student.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that:

The amount spent by school on pass of 40 students and 3 teachers = $546.53

And, the amount spent for the lunch only for students = $351.60

Now,

The money spent for pass of 43 person = $546.53

Then, The amount of pass for each person  = 546.53/43

                                = $12.71

Since, there are 40 student then amount of lunch for each students = ⇒ 351.60/40

⇒ $8.79

Therefore, amount of pass and lunch for each student = 12.71 + 8.79

                              = $21.5

Thus, $21.5 is the required answer.

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Mikaela purchased a paddleboard originally priced at $699. If all merchandise was on sale for 40% off and the state tax rate is 7. 25%, what is the total amount that mikaela spent on the paddleboard?.

Answers

The total amount that Mikaela spent on the paddleboard will be  $449.80.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths.

As per the given,

Original price = $699

The selling price = $699 - 40% of $699

⇒ $699 - 0.40 x $699 = $419.4

The state tax (assuming it applied to the selling price) will be as,

7.25% of $419.4 = (7.25/100) x 419.4 = $30.4065

Final amount = $419.4 + $30.4065 = $449.80

Hence "Mikaela will have spent $449.80 in total on the paddleboard".

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Pamela is 9 years younger than jiri. The sim of their ages is 49. What is jiri’s age ?

Answers

Answer: 40

Step-by-step explanation:

all you have to to is subtract

9 from 49 = 40

Answer:40

Step-by-step explanation:49-9=40

In a video game, a player follows a certain path that can be partially modeled by the functionf(x)=x(x−5)(x−3) . This function can be graphed on a coordinate plane.

Answers

The graph of the function f(x) = x(x - 5)(x - 3) is given by the image shown at the end of the answer.

How to draw the sketch of the graph?

To draw the sketch of the graph, we need to consider these three following features:

The x-intercepts.The y-intercept.The end behavior.

The function in this problem is defined as follows:

f(x) = x(x - 5)(x - 3).

From the factor theorem, the x-intercepts are taken from the linear factors, as follows:

x = 0.x - 5 = 0 -> x = 5.x - 3 = 0 -> x = 3.

The y-intercept is the value of y when the graph of the function crosses the y-axis, that is, the value of y when x = 0, hence:

f(0) = 0(0 - 5)(0  -3) = 0.

In the problem, we have a cube function, hence:

At the left tail(negative infinity) it goes to negative infinity.At the right tail(positive infinity) it goes to positive infinity.

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The side of a cube has a length of 4x³y6 cm. The volume of the cube can be found using
the formula V = S³. What is the volume of the cube in cubic centimeters?



PLEASE HELP

Answers

Answer:

find my dad

Step-by-step explanation:

What does 43,589 + 12,641 equal

Also, what does
63,274+ 97,047 and what does 41,805- 26,426 equal and my last question what does 82,004-11,534

Equal

Answers

Answer:

1st one is 160,321

2nd one is 15,379

3rd one is 70,470

Step-by-step explanation:

63,274+ 97,047 = 160,321

41,805- 26,426 = 15,379

82,004-11,534 = 70,470

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