12 cupcakes cost $16.79 what is the unit price

Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Answer:

The tax is 6% of the item. 140*0.06=$8.40

Step-by-step explanation:

Answer:

$8.40

Step-by-step explanation:

3÷50=.06

.06*140=8.4

Answer:

A

Step-by-step explanation:

ita a bc i know its I did this before

We can calculate the expected value of the game by means of the following formula:

Expected value = P(A)×money he wins + P(~A)×(-money he bets)

Where A is an event, in this case, the event is the ball lans on 13 and ~A implies that this event is not happening.

In this case, P(A) equals 1/38, since there is only a slot with 13 and there are 38 slots in total. The money he wins equals $350, P(~A) equals 37/38 and the money he bets equals $10. By replacing these values into the above equation, we get:

Expected value = 1/38×35 + 37/38×(-10) = -0.53

Then, the expected value of this game equals -0.53

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

all sides are equal

Answer:

13/6

Step-by-step explanation:

2 x _/6 = 12/6, then add 1/6 and you have 13/6

Step-by-step explanation:

Kindly make the question clearer for assistance

Answer:

The 2nd one should be right

Step-by-step explanation:

prove me wrong

Both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.

In triangle JKL, if angle J is less than 90 degrees, then angle K and angle L are both acute angles.

An acute angle is defined as an angle that measures less than 90 degrees. Since angle J is given to be less than 90 degrees, it is an acute angle.

In a triangle, the sum of the interior angles is always 180 degrees. Therefore, if angle J is less than 90 degrees, the sum of angles K and L must be greater than 90 degrees in order to satisfy the condition that the angles of a triangle add up to 180 degrees.

Hence, both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.

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Answer:

21 minutes

Step-by-step explanation:

35 ÷ 10 = 3.5

3.5 × 4 = 14

35 - 14 = 21

=21

k = -1

If x-3 is a factor of x4−3x3+kx+3, what is the value of k?

1. The remainder theorem tells us that you get the same thing when you

substitute 3 into a polynomial as you get when you divide the polynomial

by x-3 and take only the remainder.

2. The factor theorem thell us that since x-3 is a factor of the polynomial

then if we divided the polynomial by x-3, the remainder would be 0.

Putting these two facts together we can see that if we substituted 3 into

the polynomial, we will get the same result as the remainder would be if we

divided the polynomial by x-3. And furthermore due to 2, that remainder must

be 0.  So all we have to do is substitute 3 for x in the polynomial and set

it equal to 0.

So substituting 3 for x in x^4-3x^3+kx+3 gives

                          3^4-3(3)^3+k(3)+3

                            81-3(27)+3k+3

                             81-81+3k+3

                                3k+3

Setting 3k+3 = 0

         3k = -3

          k = -1

Now let's check to see if we are right. If we are then the polynomial

x4-3x3^+kx+3 becomes x4-3x3^-x+3. We will divide that

synthetically by x-3 to see if we get a 0 remainder.  First we must

insert a +0x2^ term, and write it as x4^--3x3^+0x2^-x+3

     3 | 1 -3  0 -1  3

       |    3  0  0 -3  

         1  0  0 -1  0    

Sure enough, we do get 0 for a remainder.

So k = -1 is correct.

We can estimate the square root to be between 23 and 24 by hand, and using a calculator we can see that the exact value is 23.388

Let's solve this without using a calculator.

To check this, we can just take integer numbers and square them and see which one gives an outcome equal to or closer to 547.

For example, if we start with 20 we get:

20*20 = 400

Let's go higher, if we take 23:

23*23 = 529

The next one is 24:

24*24 = 576

Then we can estimate:

√529 < √547 < √576

23 < √547 < 24

So our number is between 23 and 24, now using a calculator we can get the exact value:

√547 = 23.388

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Option B) she will be there 5:35

have a great day :)

Reason:

She starts driving at 5:03 p.m. which is 3 minutes past the hour.

It's a 32 minute drive. Meaning that when she arrives, it will be 3+32 = 35 minutes past the hour (of the same hour).

Therefore, she started at 5:03 p.m. and arrived at 5:35 p.m.

Answer:

8x and 0

Step-by-step explanation:

Answer:

charged with providing of three types of clients

Answer:

what is the expressio

Step-by-step explanation:

Answer:

 y = -√(x -5) +2

Step-by-step explanation:

This looks like a square root function reflected vertically, and translated up 2 and right 5.

 y = -√(x -5) +2

_____

g(x) = a·f(x -h) +k   represents a translation of f(x) by (h, k) and a vertical scaling by a factor of "a". If "a" is negative, the function is reflected across the x-axis.

The width of the duck pond is,

⇒ 27 feet

We can see that the given diagram is a rectangle,

And we know that,

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

Now, By given diagram we have;

We have to given that;

Use the scale drawing to determine how wide the duck pond is.

And there are 4.5 feet in 1 square,

Therefore,

1 square is equal to 4.5 feet

So, we get;

The width of the duck pond is,

⇒ 6 square

We know that,

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Then to find width of duck pond in feet,

Multiply 6 with 4.5

⇒ 6 × 4.5 feet

⇒ 27 feet

Thus, The width of the duck pond is,

⇒ 27 feet

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Triangle- m ∠ 2 m ∠ 3 m ∠ 5 =  180 °( by the Triangle Sum Theorem)          

The statements are true. still, grounded on the given options, three statements that are always true regarding any triangle are . The sum of the angles of a triangle is always equal to 180 degrees.

This statement is true because the total degrees of any triangle is 180 degrees.

This is known as the Triangle Sum Theorem.

2. The  surface angle of a triangle is equal to the sum of its interior  contrary angles.  This statement is true for any triangle. The  surface angle is the angle formed by extending one side of the triangle. The  contrary innards angles are the two angles inside the triangle that don't partake a vertex with the  surface angle.  

3. The measure of each angle of an equilateral triangle is 60 degrees.  This statement is true for any equilateral triangle. An equilateral triangle has three equal sides and three equal angles, each measuring 60 degrees.  thus, grounded on the given options,

the three statements that are always true regarding the  illustration could be  

- m ∠ 3 m ∠ 4 m ∠ 5 =  180 °( by the Triangle Sum Theorem)

- m ∠ 5 m ∠ 6 =  180 °( by the sum of the angles of a straight line)

- m ∠ 2 m ∠ 3 m ∠ 5 =  180 °( by the Triangle Sum Theorem)

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Using the z-distribution, we have that:

a)

b) Since the p-value of the test is of 0.0668 > 0.05, there is not enough evidence to conclude that the manufacturer's advertising campaign is legitimate.

Item a:

At the null hypothesis, it is tested if the mean is still of 50 miles per gallon, that is:

\(H_0: \mu = 50\)

At the alternative hypothesis, it is tested if the mean has increased, that is:

\(H_1: \mu > 50\)

Item b:

We have the standard deviation for the population, hence, the z-distribution is used to solve this question.

The test statistic is given by:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

The parameters are:

Hence, the values of the parameters are:

\(\overline{x} = 51.5, \mu = 50, \sigma = 6, n = 36\)

Hence, the value of the test statistic is:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{51.5 - 50}{\frac{6}{\sqrt{36}}}\)

\(z = 1.5\)

Using a z-distribution calculator, with a right-tailed test, as we are testing if the mean is greater than a value, with z = 1.5, the p-value is of 0.0668.

Since the p-value of the test is of 0.0668 > 0.05, there is not enough evidence to conclude that the manufacturer's advertising campaign is legitimate.

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Answer:

a) Classical

b) Empirical

c) Subjective

Step-by-step explanation:

Classical probability = Theoretical probability

How likely an event is to occur, i.e. what we expect to happen.

Empirical probability = Experimental probability

How frequently an event actually occurred in an experiment.

Subjective probability

Based solely on the intuition of a person.

Answer:

Step-by-step explanation:

 (7 boxes)*(0.75 kg/box) = 9 1/3 kg  

Emilio has 7 boxes. Each box weight 3/4 kilograms. What is the total weight?

⇒ Weight of each box × Number of boxes = Total Weight of all the boxes

Substituting the values, We get,

⇒ \(\sf \frac{3}{4}\small \: Kg \times 7\)

Calculating further, We get,

⇒ \(\sf 5.25 \: Kg \)

∴ Total Weight of all the boxes is 5.25 Kg

The total weight of 7 boxes Emilio has is 5.25 Kg.

Answer:

\(0.12\)

Step-by-step explanation:

\(\frac{1}{10}\times1.2=0.12\)

Answer:

0.12

Step-by-step explanation:

The slope of line: 1. m= 6 , 2. m= -6 , 3. m= 2.5,  4. m= .5

The slope of the line :

In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.

The net change in the y-coordinate is represented by Δy and the net change in the x-coordinate is represented by Δx.

Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,

m = change in y/change in x = Δy/Δx

Where “m” is the slope of a line.

Tan θ = Δy/Δx can also represent the slope of the line

So, tan θ to be the slope of a line.

Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The letter ‘ m’ usually represents the slope.

If P(x1,y1) and Q(x2,y2) are the two points on a straight line, then the slope formula is given by:

Slope,

m = Change in y-coordinates/Change in x-coordinates

m = (y2 – y1)/(x2 – x1)

Therefore, based on the above formula, we can easily calculate the slope of a line between two points.

In other terms, the slope of a line between two points is also said to be the rise of the line from one point to another (along the y-axis) over the run (along the x-axis). Therefore,

Slope, m = Rise/Run

1.

(-1,-1) & (0,5)

m = (y2 – y1)/(x2 – x1)

m = (5 – (-1)) /(0– (-1))

m = (5 +1)/(0 +1)

m = (6)/(1)

m = 6

2.

(3,5) & (4,-1)

m = (-1 – 5)/(4 – 3)

m = (-6)/(1)

m = -6

3.

(2,1)  & (4,6)

m = (6 – 1)/(4 – 2)

m = (5)/(2)

m = 2.5

4.

(-5,-2) & (3,2)

m = (2 – (-2))/(3 – (-5))

m = (2 +2/(3 +5)

m = (4)/(8)

m = (2/(4)

m = (1)/(2)

m = 0.5

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Answer:

-3

Step-by-step explanation:

-(5)+2 = -3

Answer:

33 x 15.80

521.40 x 50= 26,070

B 26,070

Hope this helps! （づ￣3￣）づ╭❤～

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

If knowing the probability of an event occurring is known then it can be turned into one's favour as well as it can be obstructed if not in favour.

A way to determine the likelihood of something occurring is through probability. Many things are hard to predict with 100 percent certainty. We can only predict the likelihood of an event occurring or how likely it is using it. A probability can be between 0 and 1, with 0 signifying an impossibility and 1 signifying a certainty.

If the likelihood of an event occurring is known, one can attempt to influence the outcome in accordance with the likelihood.

The possibility of altering the likelihood that the event will go in one's favour is another useful tool.

Therefore, being aware of the probability can be beneficial.

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