Xbxbxbdndbdndbdnsndnsnsnnssn

Answer:

The dinner costs $18

Step-by-step explanation:

30x0.40=discount

discount=12

30-12=dinner price

dinner price=$18

The CSC of the expression [tex]\left(\frac{3}{8},-\frac{\sqrt{55}}{8}\right)[/tex] is mathematically given as

[tex]\csc (\theta)=-\frac{8 \sqrt{55}}{55}[/tex]

This is further explained below.

Generally, the equation for the Problem is mathematically given as

[tex]\left(\frac{3}{8},-\frac{\sqrt{55}}{8}\right)[/tex]

Therefore

To find the [tex]$\csc (\theta)$[/tex] between the x-axis and the line between the points (0,0) and [tex]\left(\frac{3}{8},-\frac{\sqrt{55}}{8}\right),[/tex] draw the triangle between the three points [tex](0,0),\left(\frac{3}{8}, 0\right)$, and $\left(\frac{3}{8},-\frac{\sqrt{55}}{8}\right)$[/tex]

Opposite [tex]$:-\frac{\sqrt{55}}{8}$[/tex]

Adjacent :[tex]$\frac{3}{8}$[/tex]

Find the hypotenuse using the Pythagorean theorem [tex]$c=\sqrt{a^2+b^2}.[/tex]

[tex]$\csc (\theta)=\frac{\text { Hypotenuse }}{\text { Opposite }}$[/tex]

therefore

[tex]\csc (\theta)=\frac{1}{-\frac{\sqrt{65}}{8}}$.[/tex]

[tex]\frac{1}{-\frac{\sqrt{55}}{8}}[/tex]

Simplify[tex]\csc (\theta)[/tex]

[tex]\csc (\theta)=-\frac{8 \sqrt{55}}{55}[/tex]

Approximate the result.

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The equation is of the form y=mx+b, where m = slope and b = y-interset. Therefore, find m and b:

For m

For b

So, the equation is:

Answer: D.

Based on the fact that the researchers are 96% confident that they are correct, then the probability that they are actually wrong is 4%.

If we are to believe the assertions of the researchers that they are 96% certain of them being correct, then the probability that they are wrong can be found by the formula:

= 1 - Percentage certainty

Solving for that probability of being wrong then gives:

= 1 - 96%

= 4%

It is worthy of note that this probability of being wrong is based on their estimates and so there is a chance that the probability of being wrong is 4%.

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An equation of the line in point-slope form is y = 6x + 50.

y = y₁ = m(x -x₁) is the equation of a straight line, where m is the slope and (x₁, y₁) are the coordinates at a given point on the line (see slope-intercept form). When you know the slope and another point on the line, the point-slope form of a linear equation is most helpful for locating a point on a line. When two other points are known, it can also be used to locate a point on a line.

Given,

y₂ = 200

y₁ = 230

x₂ = 30

x₁ = 25

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Slope = [tex]\frac{230-200}{30-25}[/tex]

Slope = [tex]\frac{30}{5}[/tex]

Slope = 6

Equation:

y - y₁ = m(x - x₁)

y - 200 = 6(x - 25)

y - 200 = 6x - 150

y = 6x + 50

An equation of the line in point-slope form is y = 6x + 50.

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The solution of the equation is x = 5.

The equation is written as follows:

- 94  = -2 (8x + 7)

The variable to be found as variable x.

A variable is a number represented with a letter in an equation.

Hence,

- 94  = -2 (8x + 7)

open the bracket on the right side of the equation

-94 = - 16x - 14

add 14 to both sides of the equation

-94 = - 16x - 14

-94 + 14 = - 16x - 14 + 14

-80 = - 16x

divide both sides by -16

x = -80 / -16

x = 5

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The irrational numbers lying between 1/12 and 1/10 are -

For the given question;

The number are given as  1/12 and 1/10

Write both number in its decimal form.

1/12 = 0.8333333

1/10 = 0.1

Thus, write number which lies between these two.

1/12 = 0.8333333

0.456258824......

0.32547965.......

0.21448663324........

1/10 = 0.1

The dotted parts shows that the number is nether terminating nor repeating.

Thus, the irrational numbers lying between 1/12 and 1/10 are found.

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Answer:

Step-by-step explanation:

thanks

Parul ran the fastest.

For Mary,

4/8 = x/1

4/8 or 1/2 laps per minute.

x= 0.5

For Paul,

12/18 = y/1

12/18 or 2/3 laps per minute.

y=0.666

Hence, Parul ran faster.

The SI unit of speed is m/s, and speed is defined as the ratio of distance to time.

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For the graph of a linear function x=-3 and y=4 is horizontal line , the equation for this linear function is y = 0(x) +4.

As given in the question,

Graph of a required linear function is a horizontal line.

Given :

When x=-3 y=4

Two coordinates of the required linear function are :

(x₁ ,y₁) = (-3, 4)

(x₂, y₂) = ( 0,4)

Equation of the linear function :

(y -y₁) /(x-x₁) = (y₂ -y₁) / (x₂- x₁)

⇒( y-4)/(x+3) =(4-4)/(0+3)

⇒ (y-4)/(x+3) = 0/3

⇒ y = 0(x) +4

Therefore, for the graph of a linear function x=-3 and y=4 is horizontal line , the equation for this linear function is y = 0(x) +4.

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Answer:  2,175 divided by 12 will give you 181.25.

Answer:

Is this correct??

if yes reply

Answer:

  x^8

Step-by-step explanation:

You want to simplify x^10/x^2.

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

Using this rule on the given expression, we find ...

  (x^10)/(x^2) = x^(10-2) = x^8

__

Additional comment

An exponent can be considered to be an indicator of repeated multiplication. That is, it tells how many times the base is a factor in the product. Knowing this, you can use the usual rules of division to cancel common factors:

  [tex]\dfrac{x^{10}}{x^2}=\dfrac{x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x}{x\cdot x}=x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x=x^8[/tex]

Lowest degree polynomial with f(0) = 960 with zeros of -4 (multiplicity 3), 3(multiplicity 1). The polynomial is f(x)=-5(x+4)³(x-3).

Given that,

Lowest degree polynomial with f(0) = 960 with zeros of -4 (multiplicity 3), 3(multiplicity 1)

We have to find the polynomial of f(x) which satisfy the conditions.

Here,
We have the zeros of the polynomial are -4 (multiplicity 3), 3(multiplicity 1)

Which we can write as -4,-4,-4,3 are the zeros.

Then we can write the polynomial as

f(x)=ω(x+4)³(x-3)

We have to first find the value of ω.

So,

We have f(0)=960

ω(0+4)³(0-3)=960

ω(4)³(-3)=960

64ω(-3)=960

-192ω=960

ω=960/-192

ω=-5

We got the ω as -5.

The polynomial f(x)=-5(x+4)³(x-3)

Therefore, the polynomial is f(x)=-5(x+4)³(x-3).

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Given:

5, 9, 96, 3, 2, 8, 79, 1, 4, 16

To determine the mode based on the given data set, we note first that mode is the number in a data set that occurs most frequently. Since each value occurs only once, there is no mode of this data set.

Therefore, the answer is: no mode or none.

Time can be used to quantify, contrast, or even rank the length of events or the gaps between them. To complete the cooking at 2:00 PM, George needs to start his cooking at  12:30 PM.

Time can be defined in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present and into the future. The duration of events or the gaps between them can be calculated, compared, or even ordered utilizing time.

Given time needed for each meals are;

Turkey = 70 min

Pumpkin pie = 17 min

Rolls = 30 sec

coffee = 45 sec

Total time = 87 min 75 sec

                = 1 hour 27min 75 sec

So in order to complete the cooking at 2:00 PM, George needs to start his cooking at  12:30 PM.

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The statement that justifies the triangles' similarity is (c) SSS similarity theorem

The triangles are given as

Triangle ABC and Triangle DBE

From the figure, we can see that the corresponding vertical lines of either triangle are parallel (but not equal)

This means that, the triangles are similar triangles

This is so because the other two sides of the smaller triangle lie completely on the bigger triangle

As a general rule, the corresponding sides of similar triangles are in proportions

So, we can say that the corresponding side lengths of the triangles are similar

The statement that justifies this is the Side-Side-Side similarity theorem

Hence, the true statement is (c) SSS similarity theorem

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Answer:

P(A|B) =  1/2

Step-by-step explanation:

Sample space for B = {10, 20, 30, 40, 50, 60, 70, 80}

where B is even

Total number of elements in sample space = 8

P(A|B) = Probability of a number being 40 or less from the sample space of 8

Sample space for A|B  = {10, 20, 30, 40}

So out of a possible 8 elements in the sample space for B only 4 elements can be chosen for the sample space of A

So P(A|B) = 4/8 = 1/2

Answer:

y = 1/3 x + 3

Step-by-step explanation:

1) when finding a perpendicular line, you take the slope and use the reciprocal (you flip it) and change the sign (from negative to positive or positive to negative)

-3 ---> 1/3

2) plug in the slope into a new equation

y=1/3 x + b

3) plug in the points

3= 1/3 (0) + b

b=3

4) rewrite the equation

y=1/3 x + 3

Answer:

224

Step-by-step explanation:

The answer is 224 since 8 x 28 = 224

Answer: Terrence planted 224 flowers in total

Step-by-step explanation:  8x28

Answer:

You cant use the distributive property because it is when the equation is like this: ax(b+c) so if it was 11x(5+0) you would multiply the 5 by 11 by itself and multiply 0 with 11 then you add them and get 55. I hope that helps :)

Step-by-step explanation:

Probability of x successes given the probability p of success on a single trial is 0.0154.

When a process is repeated a certain number of times (for example, in a set of patients), the result for each patient can either be a success or a failure, the binomial distribution model enables us to calculate the probability of witnessing a defined number of "successes." In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.

Given Data

n = 6

X = 3

p = [tex]\frac{1}{6}[/tex]

Binomial distribution

P(X = x) = ₙCₓ(pˣ)(qⁿ⁻ˣ)

ₙCₓ =[tex]\frac{n!}{(n-x)!x!}[/tex]

P(X = 3) = ₃C₄(0.1667³)(1-0.1667)¹

P(X=3) = 0.0154

Probability of x successes given the probability p of success on a single trial is 0.0154.

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The actual fraction of growth-

a) population = 10 million; growth rate = 559/155.

b) population = 30 million; growth rate = 344/155

c) population = 50 million; growth rate = 126/155

The base growth rate = 4.3%.

The current carrying capacity = 62 million.

The actual fractional growth for the given values are-

growth rate = r * (1 - population/carrying capacity)

a) population = 10 million,

Put the values;

growth rate = 4.3 × (1 - 10/62)

growth rate = 559/155 is the actual fraction of growth.

b) population = 30 million,

Put the values;

growth rate = 4.3 × (1 - 30/62)

growth rate = 344/155 is the actual fraction of growth.

c) population = 50 million,

Put the values;

growth rate = 4.3 × (1 - 50/62)

growth rate = 126/155 is the actual fraction of growth.

Thus, the actual fraction of growth is estimated.

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The zeros of the function f(x) = x³ + 9x² + 20x  is :

0, 5 ,4

Steps to solve quadratic equation:

Check your answer by plugging it into the original equation.

Given function,

f(x) = x³ + 9x² +20x

take x common from f(x),

=> x(x² + x - 20) = 0

=> x(x² + 5x + 4x + 20) = 0

=> x( x + 5 ) + 4 ( x +5 ) = 0

=> (x + 5)  ( x + 4 ) = 0

=> x -5 = 0 or x -4 = 0

=> x = 5 and x = 4 .

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Answer:

  -8

Step-by-step explanation:

You want the value of c(3) when c(x) = (x -5)^3.

The value of a function is found by substituting the argument for the variable and doing the arithmetic.

  c(x) = (x -5)^3

  c(3) = (3 -5)^3 = (-2)^3

  c(3) = -8

Answer:

4

Step-by-step explanation:

first we go over where 8 is on the x-axis then we move up to the line, and look at the corresponding y value, which is 4

The modal mark is 16.because as we can see there are two 15, two 13,one 14, two 17 and three 16.

filled in the blanks : -

  348

* 784

_____________

        1392  

      2784      

    2436

______________

   272832

a mathematical operation that, at its most basic, is the quick addition of an integer to zero a certain number of times, expanded to other numbers using principles that apply to integers.

  348

* 784

_____________

        1392  

      2784      

    2436

______________

   272832

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The option that describes the equation 4x =-20 will be C. What number, when multiplied by four, is equal to negative twenty?

It should be noted that an equation is used to show the relationship between the variables.

In this case, the equation given us illustrated as:

4x = -20

The appropriate question that fits this will be that what number, when multiplied by four, is equal to negative twenty. This can be illustrated as:

4x = -20

Divide through

x = -20 / 4

x = -5

In conclusion, the correct option is C.

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Answer:

Step-by-step explanation: