Rearrange the equation so u is the independent variable.


-12u + 13 = 8w - 3


y = __


15 POINTS HELP ME !

Answer:

Mean y = 19 ; SD y = 10

Step-by-step explanation:

Given that:

No of customers : __ 0 ____ 1 _____ 2 ___ 3

P(x) : ___________0.10 __ 0.20 __0.30 _0.40

Fuel cost =$1 (constant)

Amount paid per customer =$10

Number of customers = x

σx = 1 ; μx = 2

σ^2 = 1^2 = 1

Mean of Y

μy = E(Y)

= E(10x - 1)

= 10(Ex) - 1

E(x) = 2

= 10(2) - 1

= 20 - 1

= 19

σY = SD(y)

SD(10x - 1)

10*SD(x) - 1

SD(x) = 1

10(1) - 0

Note : SD of a constant = 0

10 - 0

= 10

The mean of Y is 19 and the standard deviation of Y is 10 and this can be determined by using the given data.

Given :

The mean of Y can be calculated as given below:

\(\rm \mu(Y)=E(Y)\)

\(\rm \mu(Y)=E(10x - 1)\)

\(\rm \mu(Y) = 10E(x) - 1\)

According to the given data, the value of E(x) is 2. Substitute the value of E(x) in the above expression.

\(\rm \mu(Y) = 10(2) - 1\)

\(\rm \mu(Y) = 19\)

Now, the standard deviation of Y can be calculated as:

\(\rm \sigma_Y=SD(Y)\)

\(\rm \sigma_Y=SD(10x-1)\)

\(\rm \sigma_Y=10SD(x)-SD(1)\)

The value of SD for a constant is zero.

\(\rm \sigma_Y=10(1)-0\)

\(\rm \sigma_Y = 10\)

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Answer:

13

Step-by-step explanation:

1710/125 = 13.68

You need

125 x 13 = 1710

A student could take 13 credits.

6 large frames

10 small frames

$108 + $40 = $148

big frames + small frames = total frames

Answer:

20°

Step-by-step explanation:

Formula given  C= 5(F-32)

                                  9

We know that F= 68

We can now change the F to 68

C= 5(68-32) ⇒ C= 5(36)   ⇒  C= 180 or 5X36

        9                      9                          9

Now we divide 180 by 9.

C= 20°

Best of luck!

The temperature of 68°F in degrees Celsius is 20 degrees Celsius.

Temperature is given at 68°F and we need to convert the temperature into degrees Celsius using the given formula.

We will use this formula:

\(C =( F - 32 ) \times \frac{5}{9}\)

to convert Fahrenheit into degrees Celsius and vice versa.

Applying the above formula.

We have,

F = 68

Substituting in the formula we get,

\(C =( 68 - 32 ) \times \frac{5}{9}\)

\(C = 36 \times \frac{5}{9}\\C=4\times5\\C = 20\)

Thus we have C = 20 degrees Celsius.

The temperature of 68° F in degrees Celsius is 20 degrees Celsius.

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Answer:

81x² + 90x + 48y + 64

Step-by-step explanation:

(9x+8)² = (9x+8)(9x+8) = 9x*9x + 9x*8 + 8*9x + 8*8 = 81x² + 72x + 72x + 64

             = 81x² + 144x + 64

then:

(9x+8)² -54x+48y = (81x² + 144x + 64) -54x + 48y = 81x² + 90x + 48y + 64

Answer:

GIVEN :-

Ordered pairs given are :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

SOLUTION :-

Exact Form: 5/2

Decimal Form: 2.5

Mixed Number Form: 2 1/2

Answer:

2.5 or 5/2 or 2 1/2

Step-by-step explanation:

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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With the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects.

Circles that overlap share certain characteristics, whereas circles that do not overlap do not.

Venn diagrams are useful for showing how two concepts are related and different visually.

When two or more objects have overlapping attributes, a Venn diagram offers a simple way to illustrate the relationships between them.

Venn diagrams are frequently used in reports and presentations because they make it simpler to visualize data.

So, we need to find:

A ∪ B

Now, calculate as follows:

The collection of all objects found in either the Blue or Green circles, or both, is known as A B. Its components number is:

8 + 7 + 14 + 6 + 1 + 8 = 44

n(A∪B) = 44

Therefore, with the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

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Answer:

True

Step-by-step explanation:

Using the concept of profit, it is found that the function is:

\(P(s) = -s^2 + 75s - 2000\)

Profit is revenue subtracted by cost, that is:

\(P(s) = R(s) - C(s)\)

The revenue function is:

\(R(s) = 100s - s^2\)

Fixed cost of $2,000 thus $25 for each sneaker, thus, the cost function is:

\(C(s) = 2000 + 25s\)

Then, the profit function is:

\(P(s) = R(s) - C(s)\)

\(P(s) = 100 - s^2 - (2000 + 25s)\)

\(P(s) = -s^2 + 75s - 2000\)

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No, H doesn't have the zero vector, since

7•0 - 3•0 + 6•0 = 0 ≠ -21

so H is not a subspace of V.

Answer:

  7. P(q) = 60 -0.03(x -80)²

  8. P(q) = -0.03x² +4.8x -132

  9. q = 35 balloons

  10. see attached

Step-by-step explanation:

You want the profit equation, break-even sales, and a graph for a party supply company that makes a maximum profit of $60 when they sell 80 balloons, and a profit of $33 when they sell 50 balloons.

If the profit is described by a quadratic equation with a maximum at (quantity, dollars) = (80, 60), and a point on the curve of (50, 33), we can write the equation in two steps.

The vertex-form equation will look like ...

  P(q) = 60 -a(q -80)² . . . . . for some scale factor 'a'

We want P(50) = 33, so we have ...

  P(50) = 33 = 60 -a(50 -80)²

  33 = 60 -900a

  a = (60 -33)/900 = 3/100 = 0.03

The profit equation is ...

  P(q) = 60 -0.03(q -80)²

Expanding the equation gives ...

  P(q) = 60 -0.03(q² -160q +6400)

  P(q) = -0.03q² +4.8q -132

The profit is zero at ...

  P(q) = 0 = 60 -0.03(q -80)²

  0.03(q -80)² = 60

  (q -80)² = 2000 . . . . . . . . divide by 0.03

  q = 80 ±20√5 = 35.3 or 124.7 . . . . . take the square root, add 80

The store will no longer make a profit when sales drops to 35 balloons.

The attachment shows a graph of the profit function.

__

Additional comment

You can find where the profit goes to zero using the graph, the quadratic formula, or by solving it using vertex form, as above. The graph is quick and easy; using the vertex form equation works nicely.

Selling 36 balloons will result in a profit of $1.92.

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Answer:

b=–2

Step-by-step explanation:

we've got:

(3+bx)⁵===> b⁵x⁵+15b⁴x⁴+90b³x³+720b²x²+405bx+243

and we've also got the coefficient of x³ as –720

90b³=–720===> b³=–8===> b=–2

The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

Answer:

Solution:

Let x = number of cupcakes and y = number of cookies

The objective is to maximize revenue, which is given by the equation:

Revenue = 2x + 1.5y

The constraints are:

0.5x + 0.3y ≤ 150 (budget)

x + y ≤ 300 (maximum number of baked goods)

x ≥ 0, y ≥ 0 (non-negativity)

Using the simplex method, the optimal solution is x = 200 and y = 100. This means that 200 cupcakes and 100 cookies should be baked in order to maximize the revenue given the constraints.

Answer:

An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.

To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.

Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is

20,18,16,14,12

In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.

Answer:

BC, DE, CD

let me  know if that helps

Step-by-step explanation:

In the given parallelogram ABCD the values for variables are - g = 6, y = 5 and x = 4.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

We know that in a parallelogram, opposite sides are congruent and parallel, and diagonals bisect each other.

Using this information, we can set up equations to solve for the variables.

From the given information, we have -

AE = CE = 2x - 5 = 5x - 17 (since diagonals bisect each other at point E)

BE = x + 2

DE = BE = (x + 2) = g (since diagonals bisect each other at point E)

We also know that opposite sides of a parallelogram are parallel.

Therefore, 10 is parallel to 2y, which means they have the same slope. We can write this as -

10/1 = 2y/1

10 = 2y

y = 5

Now we can use equation (1) to solve for x -

2x - 5 = 5x - 17

12 = 3x

x = 4

Finally, we can use x to solve for g -

(x + 2) = g

(4 + 2) = g

g = 6

Therefore, the values of x, y, and g are 4, 5, and 6, respectively.

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Answer:

x=28

Step-by-step explanation:

saw it on another question similar to yours

Answer :

The answer is correct  X=28

Step-by-step explanation:

verified it on edge got it correct .

12x² + 102x² + 114x - 84

Answer:

Solution Given:

1st term: 6x²+39x-21

Taking common

3(2x²+13x-7)

doing middle term factorization

3(2x²+14x-x-7)

3(2x(x+7)-1(x+7))

3(x+7)(2x-1)

2nd term: 6x²+54x+84

taking common

6(x²+9x+14)

doing middle term factorization

6(x²+7x+2x+14)

6(x(x+7)+2(x+7))

2*3(x+7)(x+2)

Now

Least common multiple = 2*3(x+7)(2x-1)(x+2)

2(x+2)(6x²+39x-21)

(2x+4)(6x²+39x-21)

2x(6x²+39x-21)+4(6x² + 39x-21)

12x³+78x² - 42x+4(6x² + 39x-21)

12x³+78x² - 42x + 24x² + 156x-84

12x³ + 102x²-42x + 156x - 84

12x² + 102x² + 114x - 84

Answer:

\(12x^3+102x^2+114x-84\)

Step-by-step explanation:

Given polynomials:

\(\begin{cases} 6x^2+39x-21\\6x^2+54x+84 \end{cases}\)

Factor the polynomials:

Polynomial 1

\(\implies 6x^2+39x-21\)

\(\implies 3(2x^2+13x-7)\)

\(\implies 3(2x^2+14x-x-7)\)

\(\implies 3[2x(x+7)-1(x+7)]\)

\(\implies 3(2x-1)(x+7)\)

Polynomial 2

\(\implies 6x^2+54x+84\)

\(\implies 6(x^2+9x+14)\)

\(\implies 6(x^2+7x+2x+14)\)

\(\implies 6[x(x+7)+2(x+7)]\)

\(\implies 6(x+2)(x+7)\)

\(\implies 2 \cdot 3(x+2)(x+7)\)

The lowest common multiplier (LCM) of two polynomials a and b is the smallest multiplier that is divisible by both a and b.

Therefore, the LCM of the two polynomials is:

\(\implies 2 \cdot 3(x+7)(x+2)(2x-1)\)

\(\implies (6x^2+54x+84)(2x-1)\)

\(\implies 12x^3+108x^2+168x-6x^2-54x-84\)

\(\implies 12x^3+102x^2+114x-84\)

For the given figure,   x = 23°  and      y = 129°

Parallel lines:

                        Parallel lines are lines that always stay the same distance apart and never meet.

Transversal line :

                             A transversal is a line that crosses two or more other lines.

given,

     ∠TLN = (3x - 18)°

    ∠MZQ = (5x + 14)°

    ∠NLM = y°

Now,

         ∠MZP + ∠MZQ = 180°  (Linear Pair)

        ∠MZP  = 180° - ∠MZQ  ...........(I)

again,

          ∠NLM + ∠TLN  =180°  ...........(II)      (Linear Pair)

  As,         ∠TLN = ∠MZP  (Corresponding Angle)

             (3x - 18)° =  180° - ∠MZQ  

           (3x - 18)° = 180° - (5x + 14)°

         3x + 5x  = 180° - 14° + 18°

           8x = 184°

           x = 184 / 8

          x = 23°

      From (II),

      ∠NLM + ∠TLN  =180°

    y° + 3x - 18° = 180°

 y = 180 - 3x + 18

     = 180 - 3* 23 + 18

      = 180 - 69 +18

     y = 129°

For the given figure,

                                     x = 23°  and      y = 129°

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Answer:

x = 11/2 = 5.5

Step-by-step explanation:

2x-6 = 5

2x = 11

x = 11/2 = 5.5

Answer:

That's literally all there is to it! 12/100 as a decimal is 0.12. I wish I had more to tell you about converting a fraction into a decimal but it really is that simple and there's nothing more to say about it. If you want to practice, grab yourself a pen and a pad and try to calculate some fractions to decimal format yourself.

Step-by-step explanation:

Happy 2 help :)

Answer:

Step-by-step explanation:

1) 12/10 as a decimal is?

→ 12/10

→ 6/5 = 1.2

2) 132/100 as a decimal is?

→ 132/100

→ 1.32

3) 546/100 as a decimal is?

→ 546/100

→ 5.46

4) 123/10 as a decimal is?

→ 123/10

→ 12.3

5) 872/100 as a decimal is?

→ 872/100

→ 8.72

Hence, these are the answers.

Answer:

It’s 2.07 pounds/in 3

Step-by-step explanation:

1 kilogram = 2.2 × pounds, so,2.07 × 1 kilogram = 2.07 × 2.2 pounds (rounded), or2.07 kilograms = 4.554 pounds.Step 2: Convert the decimal part in pounds to ouncesAn answer like "4.554 pounds" might not mean much to you because you may want to express the decimal part, which is in pounds, in ounces which is a smaller unit.So, take everything after the decimal point (0.55), then multiply that by 16 to turn it into ounces. This works because one pound equals 16 ounces. Thus,4.55 pounds = 4 + 0.55 pounds = 4 pounds + 0.55 × 16 ounces = 4 pounds + 8.8 ounces. So, 4.55 pounds = 4 pounds and 8 ounces (when rounded). Obviously, this is equivalent to 2.07 kilograms. Step 3: Convert from decimal ounces to a usable fraction of ounceThe previous step gave you the answer in decimal ounces (8.8), but how to express it as a fraction? See below a procedure, which can also be made using a calculator, to convert the decimal ounces to the nearest usable fraction: a) Subtract 8, the number of whole ounces, from 8.8:8.8 - 8 = 0.8. This is the fractional part of the value in ounces.b) Multiply 0.8 times 16 (it could be 2, 4, 8, 16, 32, 64, ... depending on the exactness you want) to get the number of 16th's ounces:0.8 × 16 = 12.8.c) Take the integer part int(12.8) = 13. This is the number of 16th's of a pound and also the numerator of the fraction.Finalmente, 2.07 quilogramas = 4 pounds 8 3/4 ounces.A fração 12/16 não está simplificada, e ainda pode ser reduzida para 3/4 para que possamos expressar como a fração mais simples possível.In short:2.07 kg = 4 pounds 8 3/4 ounces

Answer:

(a) \(Area = x^2 + 8x - 48\)

(b) \(x = 6\)

Step-by-step explanation:

Given

Let the side length of the square be x

So, the rectangle has:

\(Length = x + 12\) -- increase by 12

\(Width = x - 4\) --- decrease by 4

Solving (a): The area of the rectangle.

This is:

\(Area = Length * Width\)

\(Area = (x + 12) *(x - 4)\)

Open brackets

\(Area = x^2 + 12x - 4x - 48\)

\(Area = x^2 + 8x - 48\)

Solving (b): Find x

The area of the square is:

\(Area = x^2\)

If the rectangle has the same area, then:

\(x^2 + 8x - 48 = x^2\)

Collect like terms

\(8x - 48 = x^2 - x^2\)

\(8x - 48 = 0\)

\(8x = 48\)

Solve for x

\(x = 6\)

Answer:

x=2

Step-by-step explanation:

cuz i said so

Answer:

Tossing a coin twice; A ={no Heads}, B={at least 1 Head}

Step-by-step explanation:

Mutually exclusive:

If two events are mutually exclusive, if one events happen, the other cannot happen, and vice-versa.

Rolling a die; A={Rolling an even number}, B={Rolling a number greater than 4}

A die has the following outcomes: 1,2,3,4,5,6

Even numbers: 2,4,6

Greater than 4: 5, 6

6 is an outcome of both events A and B, so they are not mutually exclusive.

Picking a card; A= {Selecting a 7}, B={Selecting a Heart}

Cards numbered from 1 to 13, each number with 4 types. So we can have a card of hearts numbered 7, which means that these events are not mutually exclusive.

Tossing a coin twice; A ={no Heads}, B={at least 1 Head}

If you get no heads, the probability of at least 1 head is 0.

If you get at least 1 head, the probability of no heads is 0.

This means that this is the answer, that is, these events are mutually exclusive.

Rolling two 6-sided dice; A={rolling a sum of 4}, B={rolling a 3 on one die}

(3,1) or (1,3) has a sum of 4 and a 3 on one die, which means that these events are not mutually exclusive.

The image's distance from the mirror is -1.87, by using the mirror equation.

Note:-  Although the question is missing, I believe the issue is asking where the image is located.

To find the solution to the problem, the mirror equation can be used:

Mirror equation =  \(\frac{1}{f}+\frac{1}{d_{o} }+\frac{1}{d_{i} }\)

Where,

f = mirror's focal length

\(d_{o}\) = object's distance from the mirror

\(d_{i}\) =  image's distance from the mirror

The focal length is assumed to be negative for a convex mirror in our problem.

f = -2.8 m

The object's distance (do) = 5.6m

By using the mirror equation, the image's distance from the mirror can be determined

\(\frac{1}{f}+\frac{1}{d_{o} }+\frac{1}{d_{i} }\)

i.e, \(\frac{1}{d_{i} } = \frac{1}{f} -\frac{1}{d_{o} }\)

= \(-\frac{1}{2.8} -\frac{1}{5.6}\) =  \(-\frac{3}{5.6}\)

= - 0.5357

\(d_{i} =\) \(-\frac{5.6}{3}\)

= -1.87 m

The virtual nature of the image is indicated by the negative sign (located behind the mirror)

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