-4 over 5 + 1 over 10

Answers

Answer 1

Answer:        -0.7

Step-by-step explanation:


Related Questions

Best way to solve this type of equation Ax+by=c

Answers

The best way to solve an equation of the form Ax+by=c could be either substitution, completing the squares or graphical method depending on the type of equation given.

Quadratic equation

The equation in the form Ax+by=c is a quadratic problem which could be approached in different ways depending on the specific equation given and the information provided.

The methods of approach are substitution, completing the squares or graphical method which all have proven to be suitable ways to arrive at the solution.

Hence, either of the three methods are good ways to solve such equation.

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A box plot uses a number line from 13 to 33 with tick marks every one-half unit. The box extends from 15 to 30.5 on the number line. A line in the box is at 21.5. The lines outside the box end at 14 and 32. The graph is titled Number of Points, and the line is labeled Points Scored in Basketball. What value does 75% of the data lie above? Find the value. Lower quartile (Q1) = 14 Lower quartile (Q1) = 15 Upper quartile (Q3) = 30.5 Upper quartile (Q3) = 32

Answers

Given statement solution is :- The quartile value above which 75% of the data lies is 31.625.

To find the value above which 75% of the data lies, you can determine the third quartile (Q3) of the data set. In this case, the upper quartile (Q3) is given as 30.5.

Since the data is represented on a number line with tick marks every one-half unit, we can divide the range between Q3 and the maximum value (32) into four equal parts. Each part represents 25% of the data.

To find the value that corresponds to 75% of the data lying above, we need to determine the value that is three-fourths of the way between Q3 and the maximum value.

First, calculate the range between Q3 and the maximum value: 32 - 30.5 = 1.5.

Next, divide the range by four to find the size of one-fourth of the range: 1.5 / 4 = 0.375.

Now, multiply the size of one-fourth of the range by three to find the size of three-fourths of the range: 0.375 * 3 = 1.125.

Finally, add the size of three-fourths of the range to Q3 to find the value above which 75% of the data lies: 30.5 + 1.125 = 31.625.

Therefore, the quartile value above which 75% of the data lies is 31.625.

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Fluency in the conversion of the metric system to the Imperial System is an essential skill in the nursing profession. Think of a situation in which negative effects have occurred due to incorrect dosage calculations? This situation could be a personal experience, the experience of someone you know, or a hypothetical. Explain how this error could have been avoided. How will you ensure that you avoid dosage errors due to metric conversions in your future career as a nurse?

Answers

In a hypothetical situation, an incorrect dosage calculation due to an error in metric system to Imperial System conversion could lead to potential harm to the patient. To avoid such errors, it is crucial to ensure accurate and precise conversions between the metric and Imperial systems. As a nurse, I will double-check my calculations, use reliable conversion charts or tools, and consult with colleagues or supervisors when in doubt. Additionally, ongoing education and training on dosage calculations and metric system conversions will be important to maintain proficiency and prevent errors in the future.

~~~Harsha~~~

if m∠2=3x+14° and m∠4=2x+6°, what is

Answers

The angle m∠HAT in the line segment is 54 degrees.

How to find the angle in a line?

When line segment intersect, angle relationships are formed such as

vertical angles, linear angles etc.

Therefore,  the angle ∠HAT can be found using the relationship of the angles as follows:

m∠MAH = 3x + 14

m∠HAT = 2x + 6

Therefore,

m∠MAH + m∠HAT = 90 degrees

3x + 14 + 2x + 6 = 90

5x + 20 = 90

5x = 90 - 20

5x = 70

x = 24

Therefore,

m∠HAT = 2x + 6 = 2(24) + 6 = 48 + 6 = 54 degrees

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Solve the equation for the variable given. Solve for x

Answers

The solution for x, is x= (3m - b)/2. (Option-d)

To solve for x in the given equation, m=(2x+b)/3, we can start by isolating x on one side of the equation.

First, we can multiply both sides of the equation by 3 to get rid of the denominator:

3m = 2x + b

Next, we can subtract b from both sides of the equation:

3m - b = 2x

Finally, we can divide both sides of the equation by 2:

x = (3m - b)/2

It's important to note that this is a linear equation with one unknown variable, and we can use algebraic methods to solve for the unknown variable. This equation may arise in many fields of study, including physics, engineering, and economics, among others.(Option-d)

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I need help with this homework It's 3 AM right now. I'm so tired
I will mark the first person to help me brainliest, they will also get 50 points

Answers

The  missing parts of the hierarchy of the quadrilaterals is listed below

KiteRectangleSquareRhombusParallelogramQuadrilateralTrapezoidSquare

What are the quadrilaterals

A four-sided polygon is called a quadrilateral. A polygon having four sides is referred to as a four-sided polygon in general.

A geometric figure with two pairs of parallel sides. The quadrilateral shape known as a trapezoid (or trapezium in certain areas) can be restated in different words.

A quadrilateral having four angles measuring 90 degrees each and having opposite sides parallel is called a parallelogram.

Rhombus shape: This particular four-sided shape is distinguished by having every angle measuring 90 degrees.

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See text below

Hierarchy of a Quadrilateral Assignment

Fill in each of the missing parts of the hierarchy of the

quadrilaterals. Include the properties of each of the figures

Are the following figures similar?

Trapezoids ABCD and EFGH are shown. Angle A equals 137 degrees, Angle B equals 90 degrees, Angle C equals 90 degrees, Angle D equals 43 degrees, Angle E equals 136 degrees, Angle F equals 90 degrees, Angle G equals 90 degrees, Angle H equals 44 degrees.

Answers

No, the trapezoids are not similar because their corresponding angles do not have the same measures.

The given trapezoids ABCD and EFGH can be analyzed to determine if they are similar. Similarity in geometric figures implies that their corresponding angles are congruent, and their corresponding sides are proportional.

Let's examine the angles of the trapezoids:

In trapezoid ABCD:

Angle A = 137 degrees

Angle B = 90 degrees

Angle C = 90 degrees

Angle D = 43 degrees

In trapezoid EFGH:

Angle E = 136 degrees

Angle F = 90 degrees

Angle G = 90 degrees

Angle H = 44 degrees

By comparing the angles, we can observe that angles B and F are both right angles (90 degrees) in both trapezoids. Additionally, angles C and G are also right angles (90 degrees) in both trapezoids.

However, angles A and E, as well as angles D and H, do not have the same measures. Angle A measures 137 degrees in trapezoid ABCD, while angle E measures 136 degrees in trapezoid EFGH. Similarly, angle D measures 43 degrees in trapezoid ABCD, while angle H measures 44 degrees in trapezoid EFGH.

Since the corresponding angles in the two trapezoids do not have the same measures, we can conclude that trapezoids ABCD and EFGH are not similar.

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Select all expressions that equal 6x10(-10)

Answers

To express the value 6 × 10^(-10), you can use scientific notation or decimal notation. Here are some valid expressions that equal 6 × 10^(-10):

0.0000000006

6E-10

6 × 10^(-10)

These expressions represent the same value, which is 6 multiplied by 10 raised to the power of -10.

Decimal is a number system used in everyday arithmetic and mathematics. It is also known as the base-10 system because it uses ten digits (0-9) to represent numbers. Each digit's position in a decimal number represents a power of 10.

In a decimal number, the digits to the left of the decimal point represent whole numbers, while the digits to the right of the decimal point represent fractions or parts of a whole. For example, in the decimal number 123.45, the digit "1" represents 100, the digit "2" represents 10, the digit "3" represents 1, the digit "4" represents 0.1, and the digit "5" represents 0.01.

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An online real estate website estimates that a fair price for Jerrold’s house would be $715,000. The market is
strong, so he is optimistic and puts the house on the market for $750,000. Two weeks later, the best offer
he’s gotten is $718,000, and so he accepts that offer. At what percent above the website’s estimate did he set
his asking price? At what percent below his asking price did he sell

Answers

Answer:

approximately 4.2667%

Step-by-step explanation:

To calculate the percentage above the website's estimate that Jerrold set his asking price, we can use the following formula:

Percentage above = ((Asking price - Website estimate) / Website estimate) * 100

Percentage above = (($750,000 - $715,000) / $715,000) * 100

Percentage above ≈ 4.895

Therefore, Jerrold set his asking price approximately 4.895% above the website's estimate.

To calculate the percentage below his asking price that Jerrold sold for, we can use the following formula:

Percentage below = ((Selling price - Asking price) / Asking price) * 100

Percentage below = (($718,000 - $750,000) / $750,000) * 100

Percentage below ≈ -4.2667

Therefore, Jerrold sold his house approximately 4.2667% below his asking price.

6a) Suppose A = A1i A2j + A3k and B = B1i+B2j+B3k. Prove that A ∙ B = A1B1 + A2B2 + A3B3.


6b) Find the angle between the vectors A = 2i+2j-k and B = 7i+24k.​

Answers

a. The scalar product of vectors A = A₁i + A2₂j + A₃k and B = B₁i + B₂j + B₃k. is A ∙ B = A₁B₁ + A₂B₂ + A₃B₃.

b. The angle between the vectors A = 2i +2j - k and B = 7i + 24k is 97.67°

What is the scalar product of two vectors?

The scalar product of two vectors a = a₁i + a₂j + a₃k and b = b₁i + b₂j + b₃k is given by

a.b = abcosФ = a₁b₁ + a₂b₂ + a₃b₃ where

a = magnitude of vector ab = magnitude of vector b and Ф = angle between vectors a and b

6a) Suppose A = A₁i + A2₂j + A₃k and B = B₁i + B₂j + B₃k. Prove that A ∙ B = A₁B₁ + A₂B₂ + A₃B₃.

We proceed as follows

We know that

A ∙ B = (A₁i + A₂j + A₃k). (B₁i + B₂j + B₃k)

= A₁i.(B₁i + B₂j + B₃k) + A₂j.(B₁i + B₂j + B₃k) + A₃k.(B₁i + B₂j + B₃k)

Expanding the brackets, we have

= A₁i.B₁i + A₁i.B₂j + A₁i.B₃k + A₂j.B₁i + A₂j.B₂j + A₂j.B₃k + A₃k.B₁i + A₃k.B₂j + A₃k.B₃k

= A₁B₁i.i + A₁B₂i.j + A₁B₃i.k + A₂B₁j.i + A₂B₂j.j + A₂B₃j.k + A₃B₁k.i + A₃B₂k.j + A₃B₃k.k

We know that

i.i = j.j = k.k = 1 and i.j = j.i = i.k = k.i = j.k = k.j = 0

So, we have that

= A₁B₁i.i + A₁B₂i.j + A₁B₃i.k + A₂B₁j.i + A₂B₂j.j + A₂B₃j.k + A₃B₁k.i + A₃B₂k.j + A₃B₃k.k

= A₁B₁(1) + A₁B₂(0) + A₁B₃(0) + A₂B₁(0) + A₂B₂(1) + A₂B₃(0) + A₃B₁(0) + A₃B₂(0) + A₃B₃(1)

= A₁B₁ + 0 + 0 + 0 + A₂B₂ + 0 + 0 + 0 + A₃B₃

= A₁B₁ + A₂B₂ + A₃B₃

So, A ∙ B = A₁B₁ + A₂B₂ + A₃B₃.

6b) To find the angle between the vectors A = 2i +2j - k and B = 7i + 24k, we proceed as follows.

We know that the angle between two vectors is given by

Ф = cos⁻¹[(A.B)/AB​] where

A = magnitude of vector A and B = magnitude of vector B

Now, A.B =  (2i +2j - k).(7i + 24k) = (2 × 7 + 2 × 0 + (-1) × 24)

= (14 + 0 - 24)

= -10

Now, the magnitude of a vector C = C₁i + C₂j + C₃k is C = √(C₁² + C₂² + C₃²)

Since vector A = 2i +2j - k its magniude A = √(2² + 2² + (-1)²)

= √(4 + 4 + 1)

= √9

= 3

Also since vector B = 7i + 24k,  its magniude A = √(7² + 0² + 24²)

= √(49 + 0 + 576)

= √625

= 25

So, substituting the values of the variables into the equation, we have that

Ф = cos⁻¹[(A.B)/AB​]

Ф = cos⁻¹[(-10)/(3 × 25)]

Ф = cos⁻¹[(-2)/(3 × 5)]

Ф = cos⁻¹[-2/15]

Ф = -0.13333

Ф = 97.67°

So, the angle betwen the vectors is 97.67°

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you are dealt one card from a 52-card deck. find the probability that you are not dealt a two

Answers

Answer:

Step-by-step explanation:

48 out 52 cards are not a 2:

        [tex]P(not 2)=\frac{48}{52} =\frac{12}{13}[/tex]

How do I find the possible degree(s) of a function from the graph alone?

Answers

The possible degrees of a function from it's graph are found with the sum of the multiplicities of each root of the function.

How to obtain the x-intercepts of a function?

On the definition of a function, the x-intercept is given by the value/values of x for which the function assumes a value of zero.

On the graph, these are the values of x for which the graph of the function crosses or touches the x-axis.

The multiplicity of each root is given as follows:

Even multiplicity when the graph touches the x-axis.Odd multiplicity when the graph crosses the x-axis.

Hence the degree is found with the sum of the multiplicities of the zeros of the function.

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A cheetah's speed was timed over a 50-yard distance. The cheetah was clocked running 60 miles per hour. Write an equation to represent this situation. (If your answering please show how you solved this)

Answers

The equation that represents this situation is:

⇒ 60t = 0.0284091

where t is the time in minutes.

We have to given that,

The speed of the cheetah is 60 miles per hour

The distance timed was 50 yards

Now, We have to convert the distance to miles, because the speed is in miles per hour.

Since, 1 yard = 0.000568182 miles

Hence, 50 yards = 50 x 0.000568182 miles

50 yards = 0.0284091 miles

Now we can use the formula:

distance = speed x time

We know that,

The distance is 0.0284091 miles, and the speed is 60 miles per hour.

Hence, the time it took the cheetah to run the 50-yard distance.

So, the speed from miles per hour to miles per minute, since we want the time in minutes:

60 miles per hour = 1 mile per minute

Now we can plug in the values we know:

0.0284091 miles = (1 mile per minute) x time

Solving for time:

time = 0.0284091 / 1

time = 0.0284091 minutes

time = 0.0284091 minutes x 60 seconds per minute

time = 1.704546 seconds

Thus, the equation that represents this situation is:

⇒ 60t = 0.0284091

where t is the time in minutes.

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How do I find the possible degree(s) of a function from the graph alone?

Answers

Answer:

To determine the possible degree(s) of a function from the graph alone, you need to examine the behavior of the graph at the extremes (far left and far right) and consider the number of turning points or changes in direction. Here's a step-by-step approach:

Look at the far left side of the graph: Determine the behavior of the graph as it approaches negative infinity. Does the graph approach a specific value, such as a horizontal line (asymptote) or the x-axis? If the graph approaches a horizontal line, it suggests a polynomial function of even degree. If the graph approaches the x-axis, it indicates a polynomial function of odd degree or possibly a function with a root of multiplicity greater than one.

Look at the far right side of the graph: Determine the behavior of the graph as it approaches positive infinity. Similar to step 1, observe if the graph approaches a specific value or a horizontal line. The behavior at the far right side should be consistent with the behavior at the far left side. This can help you identify if the function is even or odd degree.

Examine the number of turning points or changes in direction: Count the number of times the graph changes direction. These points are where the slope of the graph changes from positive to negative or vice versa. The number of turning points can provide an indication of the degree of the polynomial. For example, if there are two turning points, it suggests a polynomial function of degree 3.

Remember that this method provides potential degrees, but it may not definitively determine the exact degree of the function. Additional information or analysis might be required for a more accurate determination.

Use an associative law to find an expression equivalent to
s + (r + 75)

Answers

As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.

Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:

s + (r + 75) = (s + r) + 75

The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.

Let's take an example to illustrate this:

Suppose s = 10 and r = 20.

Using the original expression:

s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105

Using the expression with regrouped terms:

(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105

As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

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Decide whether pairs of angles <1 and <2​, <6 and<1 ​, and <5 and <6 are alternate interior​ angles, same-side interior​ angles, corresponding​ angles, or alternate exterior angles. Question content area bottom Part 1 Choose the statement that correctly describes angles 1 and 2.

*PLEASE ANSWER EACH QUESTION. IN ALL 3 PICS. THANKS

Answers

<1 and <2 are same-side interior angles. Option D

<1 and <5 are same-side interior angles. Option B

<6 and <8 are corresponding angles. Option C

How to determine the angles

To determine the angles, we need to know the following;

Corresponding angles are  angles formed in matching corners  with the transversal when two parallel lines are intersected by any other lineSame side interior angles are two angles that are found on the interior of  two lines and exactly on the same side of the transversal. Adjacent angles are equal

Now, from the information given, we have that;

1. <1 and <2 are same-side interior angles because they are found on the same side of the transversal

2. We can see that < 1 and <5 are also same-side interior angles because they are two angles found on the exact same side of the transversal

3. Since corresponding angles are angles on matching corners of a transversal, < 6 and < 8 are corresponding angles

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100 points please help me answer this

Answers

The complete table for the function are

- f(1) - 3 = -5

- f(0) - 3 = -5.5

- f(2) - 3  = -7

- f(6) - 3 = undefined

- f(14) - 3 = -1

- f3(0) - 3 = 2

How to complete the missing parts of the table for the function.

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

The function equation and the incomplete table of values

This is given as

g(x) = - f(x) - 3

From the table, the missing values are at all values of x

So, we have

- f(1) - 3 = -2 - 3 = -5

- f(0) - 3 = -2.5 - 3 = -5.5

- f(2) - 3 = -4 - 3 = -7

- f(6) - 3 = undefined

- f(14) - 3 = 2 - 3 = -1

- f3(0) - 3 = 5 - 3 = 2

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Please help me to do this i really need it.
First correct Answer gets Brainliest.

Answers

Answer:

Step-by-step explanation:

-3≤ x = graph 6

-3 > x = graph 3

x≥ 3 = graph 2

x ≤ 3 = graph 4

3 > x = graph 1

x > 3 = graph 5

the closed circles means greater/less than or equal to

the open circle means greater/less than

the direction of the arrow tells you if the number is greater than x or less than x

Name the quadrant in which angle 0
must lie for the following to be true.
cos > 0 and
tan 0 <0
Enter a, b, c, d, or e.
a. l
b. ll
c. III
d. IV
e. All of the above.

Answers

Answer:

D is the correct answer

Step-by-step explanation:

Acellus

Tara looks up hotel room prices for a holiday.
A hotel has a 25% off sale on its prices.
A VAT charge of 20% must be added on at the end of the transaction after any discount.
If the regular price of a room is £80 per night, how much will Tara pay for 5 nights?

Answers

Tara will pay £360 for 5 nights if she chooses a hotel with a regular room price of £80 per night that has a 25% off sale on its prices, and the VAT charge of 20% must be added at the end of the transaction.

Tara looked up hotel room prices for her holiday. A hotel had a 25% off sale on its prices. A VAT charge of 20% must be added at the end of the transaction, after any discount. If the regular price of a room is £80 per night, then we have to determine how much Tara will pay for 5 nights.

A 25% discount on £80 is: 25/100 * 80 = £20. So the discounted price of a hotel room is: £80 - £20 = £60.Next, we add VAT of 20% to the discounted price: 20/100 * £60 = £12.

Hence, the final price for one night is: £60 + £12 = £72.Since Tara needs to stay in the hotel for 5 nights, she will pay: £72 * 5 = £360.

Therefore, Tara will pay £360 for 5 nights if she chooses a hotel with a regular room price of £80 per night that has a 25% off sale on its prices, and the VAT charge of 20% must be added at the end of the transaction.

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square root 3 radicand x squared 2 multiply square root 4 radicand x squared 3

Answers

The simplification of [tex]\sqrt{3x^2} * \sqrt{4x^2} is 2x^2\sqrt{3.[/tex]

The given expression is [tex]\sqrt{3x^2} * \sqrt{4x^2} .[/tex].

To simplify this expression, we can start by simplifying each square root individually and then multiply the simplified expressions.

[tex]\sqrt{3x^2[/tex] can be written as[tex]\sqrt{3} * \sqrt{x^2[/tex]. Since [tex]x^2[/tex] is a perfect square, its square root is x. Therefore, [tex]\sqrt{3x^2[/tex] simplifies to [tex]x\sqrt{3.[/tex]

Similarly,[tex]\sqrt{4x^2[/tex] can be written as[tex]\sqrt{4} * \sqrt{x^2.[/tex]The square root of 4 is 2, and the square root of[tex]x^2[/tex]is x. Thus, [tex]\sqrt{4x^2[/tex] simplifies to 2x.

Now, we can multiply the simplified expressions:

[tex]x\sqrt{3} * 2x.[/tex]

To multiply these terms, we multiply the coefficients (numbers in front) and the variables separately.

The coefficient of [tex]x\sqrt{3[/tex]is x, and the coefficient of 2x is 2.

Multiplying the coefficients gives us x * 2 = 2x.

The variables in x√3[tex]x\sqrt{3[/tex] are x and √3, and the variables in 2x are x and 1.

Multiplying the variables gives us x * x = x^2, and √3 * 1 = √3.

Therefore, the final simplified expression is [tex]2x^2\sqrt{3.[/tex].

In summary,[tex]\sqrt{3x^2 } * \sqrt{4x^2[/tex] simplifies to [tex]2x^2\sqrt{3.[/tex]

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you take a loan out to finance $175,000 on a house. if the rate is 3% and compounds continuously, how much will the loan cost after 30 years?

Answers

Answer:approximately $396,849.46 after 30 years with continuous compounding.

Step-by-step explanation:

To calculate the cost of the loan after 30 years with continuous compounding, we can use the formula for continuous compound interest:

A = P * e^(rt)

Where:

A = the total amount after interest

P = the principal amount (loan amount)

e = Euler's number, approximately 2.71828

r = interest rate per period

t = time in years

Given:

Principal amount (loan amount), P = $175,000

Interest rate, r = 3% = 0.03 (as a decimal)

Time, t = 30 years

Using the formula, we can calculate the total amount (A):

A = $175,000 * e^(0.03 * 30)

Now, let's calculate the cost of the loan after 30 years:

A = $175,000 * 2.71828^(0.03 * 30)

Using a calculator or software, we find:

A ≈ $396,849.46

Therefore, the loan will cost approximately $396,849.46 after 30 years with continuous compounding.

Students at Sunnyvale Middle School volunteered to work a 2-hour shift at a
car wash fundraiser. The table shows the number of people who worked each
shift and how many cars they washed.
Is the relationship between the number of
cars washed and the number of workers
proportional? Complete the statement.
The number of cars washed per person
?
of workers, so the relationship is
the same for each number
?
People Working
4
6
8
10
Cars Washed
8
12
20
25

Answers

The relationship in this problem is not proportional, as there are different ratios between the number of people and the number of cars washed.

What is a proportional relationship?

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The ratios between the output and the inputs are given as follows:

8/4 = 2.12/6 = 2.20/8 = 2.5.25/10 = 2.5.

Different ratios, hence the relationship is not proportional.

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Acylinder has a volume of 400 cubic feet. If the height of the cylinder is 25 feet, what is the radius of the cylinder? Use 3.14 for me and round to the nearest hundredth
adius hype your answer...
1

Answers

The radius of the cylinder is 2.25 feet.

To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the volume V is 400 cubic feet and the height h is 25 feet, we can substitute these values into the formula and solve for the radius r.

400 = 3.14 r² x 25

Dividing both sides of the equation by (3.14 * 25) to isolate r^2, we have:

r² = 400 / (3.14 x 25)

r² ≈ 5.08

Taking the square root of both sides to solve for r, we get:

r ≈ √5.08

r ≈ 2.25

Therefore, the radius of the cylinder is 2.25 feet.

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Line l has equation y= 5. find the distance between l and the point C (7, 0). Round your answer to the nearest tenth

Answers

The distance between the line y = 5 and point C (7, 0) is 5 units.

We have,

To find the distance between a line and a point, we can use the formula for the distance between a point (x1, y1) and a line ax + by + c = 0, which is given by:

Distance = |ax1 + by1 + c| / √(a² + b²)

In this case,

The equation of the line is y = 5, which can be rewritten as 0x + 1y - 5 = 0.

Comparing this to the general form ax + by + c = 0, we have a = 0, b = 1, and c = -5.

The coordinates of point C are (7, 0), so x1 = 7 and y1 = 0.

Let's calculate the distance using the formula:

Distance = |0(7) + 1(0) - 5| / sqrt(0² + 1²)

Distance = |-5| / √(1)

Distance = 5 / 1

Distance = 5

Therefore,

The distance between the line y = 5 and point C (7, 0) is 5 units.

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Desperate Need Of Help

Answers

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

What is a domain?

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Simplify the rational expression
7x/14x^6

Answers

The simplified form of the rational expression [tex](7x)/(14x^6)[/tex] is [tex]1/(2x^6).[/tex]

To simplify the rational expression [tex](7x)/(14x^6)[/tex], we can begin by simplifying the numerator and denominator separately.

In the numerator, 7x, we can see that both 7 and x have a common factor of 7. So, we can rewrite the numerator as 7 × x = 7x.

In the denominator, [tex]14x^6[/tex], we can see that both 14 and x^6 have a common factor of [tex]2x^6[/tex].

So, we can rewrite the denominator as

[tex]14 \times x^6 = 2 \times 7 \times x^6 = 2 \times 7x^6.[/tex]

Now, we can simplify the rational expression by canceling out the common factors in the numerator and denominator:

[tex](7x)/(14x^6) = (7x)/(2 \times 7x^6) \\= (7x)/(2 \times 7 \times x^6) \\= (cross(7x))/(2 \times cross(7) \times x^6) \\= 1/(2x^6)[/tex]

Therefore, the simplified form of the rational expression[tex](7x)/(14x^6)[/tex] is [tex]1/(2x^6).[/tex]

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A store has 7 bags of sugar in an aisle. Each small bag weighs 4 pounds. each large bag weighs 10 pounds. There are 52 pounds of sugar in the aisle. Write a system of equations for the situation. Be sure to identify what your variables represent.

Answers

Answer: 4 small bags, 3 large bags (equations below in explanation)

Step-by-step explanation:

x=number of small bags

y=number of large bags

x+y=7

4x+10y=52

Subtract them after multiplying the first equation by 4.

4x+4y=28

4x+10y=52

-6x=-24

x=4

x+y=7

4+y=7

y=3

Find the exact value of cos (-n/12)

Answers

The exact value of cos(-n/12) is equal to cos(n/12).

The cosine function (or cos function) in a triangle is the ratio of the adjacent side to that of the hypotenuse.

The value of cosine function is periodic with a period of 2π. Therefore, we can use the property cos(x) = cos(x + 2πk) for any integer value of k.

In this case, we have cos(-n/12). To find the exact value, we can use the fact that cos(x) = cos(-x) for any angle x. Therefore, we can rewrite cos(-n/12) as cos(n/12).

So, the exact value of cos(-n/12) is equal to cos(n/12).

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Find the number that belongs
in the green box.
[?]
37°
64°
21.1
30
Round your answer to the nearest tenth.

Answers

The value of x is 33.4

How to determine the value

To determine the value in the green box, we need to know that there are six different trigonometric identities.

These identities are enumerated as;

sinecosinetangentcotangentsecantcosecant

Using the sine identity, we have;

sin θ = opposite/hypotenuse

We have that;

θ = 64 degrees

Opposite = 30

Hypotenuse  = x

Substitute the values, we have;

sin 64 = 30/x

cross multiply

x = 30/0. 8987 = 33. 4

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