Is the following relation a function?
Yes
No
100 points!

Step-by-step explanation:

a) 11*5=55

15*5=75

8*5+5=45

b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°

Answer:

Table c represents the expression 12 + x

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Substitute each of the the values of x on column one into the expression on column two (12+1=13,12+2=14...........)

A stop sign has 8 sides and 8 interior angles.

An 8 sided polygon is called an octagon.

Answer: x= -2/3

Step-by-step explanation:

Answer:

x=-2/3

Step-by-step explanation:

divide both sides by 3 to get rid of the outside 3. this gives you 3x+5=3

subtract 5 from both sides and it gives you 3x=-2

Lastly, divide both sides by 3.

Your final answer is x=-2/3

Your answer is correct.

Answer:

if not 24.5, it should be 31 yds

Step-by-step explanation:

ok so, I don't know how you want me to solve this but, if you're asking the distance diagonally, then it will be 24.5 yds. If you want the distance in straight lines, it will be 31 yds

lol there wasn't much information, sorry

Answer:

x=-7

Step-by-step explanation:

\(We\ are\ given\ that,\\Angle\ 1 =72+x\\Angle\ 2=x+122\\Hence,\\We\ observe\ that\ Angle\ 1\ and\ Angle\ 2\ are\ co-interior\ angles\ ; and\ as\ the\ lines\ are\ parallel\ \\They\ are\ supplementary.\\Hence,\\Angle\ 1\ +\ Angle\ 2\ =180\\(72+x)+(x+122)=180\\2x+194=180\\2x=180-194\\2x=-14\\x=-14/2\\x=-7\)

We have two points, the first one is (-1,6), and the second is the x-intercept, the point (5,0).

First, find the slope using the next formula:

Replace these values:

Then, m=-1

To find the general form use the next formula:

Equal the whole expression to zero.

Add both sides by x:

Add both sides by 1:

Then, the general form of the line equation is:

Answer:

Step-by-step explanation:

We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.

For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,

y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0

(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.

Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get

yp″=a1+2a2x....yp‴=2a2+3a3x+....

Substituting the general solution into the non-homogeneous equation, we get

a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)

So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:

a(n+1)=Y(n-2)/n^2

From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.

Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

Let's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:

Cost at Rentals Plus = $5.24 + $4.46 * m

Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:

Cost at Speedy Move = $85.24 + $0.46 * m

To find the number of miles that makes the costs equal, we can set up the equation:

$5.24 + $4.46 * m = $85.24 + $0.46 * m

By rearranging the equation, we can solve for 'm':

$4.46 * m - $0.46 * m = $85.24 - $5.24

$4 * m = $80

m = $80 / $4

m = 20

Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

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Answer:

x intercepts = (9,0), (-7,0)

Step-by-step explanation:

First lets expand the factored equation.

f(x) = 3(x + 7) (x - 9)

.... = 3x + 21 (x - 9)

....= 3x^2 - 27x - 21x - 189

....= 3x^2 - 6x - 189

lets make the quation equal to 0 and use the Factorization method to solve for x.

3x^2 - 6x - 189= 0

3(x^2 - 2x - 63) = 0

3(x - 9) (x + 7) = 0

x - 9 = 9 and x + 7 = -7

x = 9,

x = -7

Answer:

48x divided by 8= 6p

Step-by-step explanation:

By answering the presented question, we may conclude that Evelyn will equation need to sell roughly 281 masks in order to cover her initial project expenditures and begin generating a profit.

A math equation is a technique that links two assertions and denotes equivalence using the equals sign (=). In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For example, in the equation 3x + 5 = 14, the equal sign separates the numbers 3x + 5 and 14. A mathematical formula may be used to understand the link between the two phrases written on either side of a letter. The logo and the programmed are usually interchangeable. As an example, 2x - 4 equals 2.  

Initially, we must determine the entire cost of producing and transporting one mask:

Total cost per mask = $1.25 plus $2.15 for delivery = $3.40

Profit per mask is selling price minus total cost per mask, which equals $5 - $3.40 = $1.60.

As a result, Evelyn will profit $1.60 for each mask she sells. We may use the following calculation to calculate how many masks she needs to sell to recoup her $450 initial project costs:

Total beginning project expenditures / profit per mask = number of masks to sell

Total number of masks to be sold = $450 / $1.60 per mask = 281 masks

Evelyn will need to sell roughly 281 masks in order to cover her initial project expenditures and begin generating a profit.

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Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

1532

Step-by-step explanation:

Answer:

9006-7417= 1532

do you know how to work it out?

If the third term is 31, then let's get the second term. We have to use the rule we were given and work backwards. So, we will add three and then divide by 2.

31 + 3 = 34

34 / 2 = 17

17 is the second term. Let's do the same thing we just did to find the first term: add three, divide by 2.

17 + 3 = 20

20 / 2 = 10

Answer: the first term is 10

Hope this helps!

The equation that best describes the relation is y = -x+1 ( optionD)

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

Taking x(0,1) and y ( 1,0)

therefore the slope of the line

= 0-1/1-0

= -1/1 = -1

the equation a line is given as

y-y1 = m(x-x1)

= y-1 = -1( x - 0)

= y-1 = -x

y = -x +1

therefore the equation that describe relation is y = 1-x or y = -x+1

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The Equation of the tangent line is y = 4x - 1.

According to the statement

We have to find that the equation of the tangent of the line.

So, For this purpose, we know that the

Equation of the tangent line can be found using the formula y – y1 = m (x – x1), where m is the slope and (x1, y1) is the coordinate points of the line.

From the given information:

f(x) = 3 X at (1, 3)

Then

The tangent line of a curve y = f(x) is a line that touches the curve at a point (x0, y0). Its slope (m) is found by substituting the point where it is drawn in the derivative f'(x) and its equation is found by using y - y0 = m (x - x0).

From the given it is clear that the slope of the equation is a 3.

Then m = 3

then

y – y1 = m (x – x1)

Substitute the points here

y - 3 = 4(x - 1)

Then

y = 4x - 4 +3

y = 4x - 1.

So, The Equation of the tangent line is y = 4x - 1.

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Answer:

a) 513775.5 m^3  ≈ 51.38 * 10^4 m^3

b)  256887.75 m^3 ≈ 25.69 * 10^4 m^3

Step-by-step explanation:

Given data :

Depth of pond = 2m

flow in the stream = 20 cfs = 4.8931 * 10^4 m^3/day

settling rate = 0.2 m/day

rate constant ( k )= 0.2 / 2 = 0.1 / day

steady-state removal of the solids required = 65%

A) determine size of a single CSTR to achieve 65%

First determine the time required to achieve this using the relation below

C = \(c_{o} e^{-kt}\)

∴ t = \(\frac{-1}{k}* ln( 1 - 0.65 )\)

     = ( -1 / 0.1 ) * (- 1.05 ) = 10.5 day

The size of a single CSTR required = ( 4.8931*10^4 ) * (10.5 ) = 513775.5 m^3

B) determine the sizes of a pair of identical CSTRs in series needed to achieve the desired removal

sizes of a pair = 513775.5 / 2 = 256887.75 m^3

\( \underline{ \boxed {\sf \color{cyan}{x = \frac{129}{2}}}}\)

\(\pink{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}\)

\(\: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{2x- 17 =51 +61}\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{2x- 17= 112}\)

\(\: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{2x- 17 + 17 = 112 + 17}\)

\(\: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{2x = 129}\)

\(\: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{\frac{ \cancel2x}{ \cancel2}=\frac{129}{2}}\)

\(\: \: \: \: \: \: \: \: \: \: \: \: \)

\(\Longrightarrow\sf{x = \frac{129}{2}}\)

\(\pink{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}\)

\({\pink{\boxed{\blue{2x - 17 = 51 + 61}}}}\)

2x - 17 = 51 + 61

\({\blue{\boxed{{Take -17 \: \: to \: \: the \: \: other \: \: side \: \: and }}}}\)

\({\blue{\boxed{{its \: \: sign \: \: will \: \: change \: \: \: into \: \: + }}}}\)

2x = 112 + 17

2x = 129

\({\blue{x = {\pink{ \frac{129}{2} }}}}\)

The given equation is y + 2 = 2(x + 3) and the x-intercept is -2.

To find the x-intercept of the equation y + 2 = 2(x + 3), we need to set y equal to zero and solve for x. The x-intercept occurs when the value of y is zero, meaning the graph crosses the x-axis.

Let's substitute y with 0 in the equation:

0 + 2 = 2(x + 3)

Simplifying the equation:

2 = 2(x + 3)

Dividing both sides by 2:

1 = x + 3

Subtracting 3 from both sides:

-2 = x

The x-intercept is -2. This means that the graph of the equation y + 2 = 2(x + 3) crosses the x-axis at the point (-2, 0).

The x-intercept represents the value of x where the graph intersects or crosses the x-axis. In this case, it occurs when x is equal to -2, and the y-value is zero.

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Answer:5/4

Step-by-step explanation: I did this in class:)

If your cost of money is 6.4 percent, what is the current value of the lease is equal to $820.0054.

In Economics, a lease can be defined as a contractual agreement between a lessor and lessee, which avails the lessee an opportunity to make use of an asset, while making payments in instalment to the lessor for a specific period of time.

Mathematically, the current (present) monetary value of a lease can be calculated by using this formula:

Current value, PV = [Annuity × (1 + r) × [1 - (1 + r)^{-n}]/r]

Where:

Note: r = 0.064/12 = 0.0053333

Substituting the given parameters into the formula, we have;

Current value, PV = [144 × (1 + 0.0053333) × [1 - (1 + 0.0053333)^{-36}]/0.0053333]

Current value, PV = [144 × (1.0053333) × [1 - (1.0053333)^{-36}]/0.0053333]

Current value, PV = [144 × (1.0053333) × [1 - 0.8257290]/0.0053333]

Current value, PV = [144 × (1.0053333) × [0.174271/0.0053333]

Current value, PV = 25.095024 × 32.6760167

Current value, PV = $820.0054.

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9514 1404 393

Answer:

  1/3, 0.5, 4/6, 4/5

Step-by-step explanation:

For the same numerator, the fraction with the larger denominator is the smaller fraction.

  0.5 = 1/2

So, we have two fractions with numerators of 1, and two fractions with numerators of 4. The smaller fraction with a numerator of 4 has a numerator that is more than half the denominator, so its value is more than 1/2.

The least-to-greatest order is ...

  1/3, 1/2, 4/6, 4/5

In the original number format, this is ...

  1/3, 0.5, 4/6, 4/5

37.5% of the cars have a fuel efficiency of at least 35 miles per gallon.

To find the percentage of cars that have a fuel efficiency of at least 35 miles per gallon,

We first need to determine how many of the eight cars meet that threshold.

To do this, we can compare each car's fuel efficiency to 35 miles per gallon, and count the number that is greater than or equal to 35.

Identify the cars that have a fuel efficiency of at least 35 mpg: 42, 42, 54,

count the number of cars which is 3

divide it by 8 which is the total number of cars

Multiply the result by 100 to get the percentage, so:

3/8 * 100 = 37.5%

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Answer:

Remove the variable from the Model

Step-by-step explanation:

Normally, when considering which variable to keep and which one to drop when considering testing of the contribution of an individual regressor variable to the model, generally speaking we use one explanatory variable for between 10-15 observations.

Now, before we run our regression, we would need to run correlation analysis between all explanatory variables to detect if there's any multicollinearity, and also between the dependent variable and the regressors in order to determine the most important predictors to be included in the regression.

So after the analysis, for the null hypothesis not to be rejected, we will remove the variable from the Model.

Answer:

B. $104.95

Step-by-step explanation:

$160.45-$55.50=$104.95

Answer:

28.3, 28 1/3, 25 1/4, 5v25

Step-by-step explanation:

Step-by-step explanation:

20+8+5=33

33×3=99

hope it helps broo

The difference in the cost of all 30 pens between two shops is,

£1.05

Given, Eve is going to buy 30 pens from either shop A or shop B.

Shop A: pack of 10 pens for £2

Shop B: pack of 5 for £1.10 buy 1 pack and get 1 half price.

So, the cost of 30 pens from the shop A is,

as, a pack of 10 pens is of £2

1 pen = 2/10

30 pens = £6

Now, the cost of 30 pens from the shop B is,

as, a pack of 5 for £1.10

1 pen = 1.10/5 = £0.22

also buy 1 and get 1 at half price.

So, 2 pens = 0.22 + 0.11 = £0.33

Therefore, 30 pens = £4.95

So, the cost of 30 pens from shop A is £6 and from shop B is £4.95.

Hence, the difference in the cost of all 30 pens between two shops is,

£1.05

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