Find the equation of the vertical line that passes through point M(−2, 6)

Answer:

C) 480

Step-by-step explanation:

[tex]\sf \dfrac{3}{5}*800 = 3 * 160[/tex]

             = 480

In permutation, ³¹C₅  are there to select 5 scoops of ice cream to put into a bowl .

What are some examples of permutation?

Total ice cream flavor n = 31 flavor

selection of (r) = 5 scoop

total number of ways to select 5 scoops of ice cream from 31 flovers

                                                   = ³¹C₅

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Answer:

use absolute value

Step-by-step explanation:

absolute of x +5

Answer:

Find the slope between the points (1,2) and (9,12).

Step-by-step explanation:

If I was going to draw the line of best fit without a calculator, I would draw it including these two points.  Once I had these two points, I would find the slope using these points.

Answer:

117

Step-by-step explanation:

f(-9)=-9^2-5(-9)-9

f(-9)=81+45-9

f(-9)=126-9

f(-9)=117

hopes this helps please mark brainliest

Answer:

-5/7

Step-by-step explanation:

know what to put here don't know how to explain!

Answer: v=-.25

Step-by-step explanation:

Step 1: Subtract 1 from both sides.

64v^3+1−1=0−1

64v^3=−1

Step 2: Divide both sides by 64.

64v^3 64 = −1 64

v^3= −1 64

Step 3: Take cube root.

v=( −1 64 )^(1/3 )

Step 4: There is no step 4 lol

v=−0.25

Part A: polynomial in Standard form;-

bluef(x) = ax⁴ + bx³ + cx²+ dx + e

Part B: Closure property relates to polynomial;-

The polynomial's closer property for subtraction. When two polynomials of identical degrees with different leading coefficients are subtracted, a polynomial of the same degree is produced.

What is  Polynomial?

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x.

A.

Any of the following can be the fourth degree polynomial with two terms:

f1(x) = ax⁴ + bx³

f2(x) = ax⁴ + cx²

f3(x) = ax⁴ + dx

f4(x) = ax⁴ + e

a ≠ 0  in all four instances.

Explanation. Because each of the aforementioned polynomials fi(x)-s can be written in the form of f(x) by setting blue0 equal to (c,d,e), (b,d,e), (b,c,e), and (b,c,d), respectively, each of the aforementioned polynomials is in standard form.

B.

The polynomial's closer property for subtraction. When two polynomials of identical degrees with different leading coefficients are subtracted, a polynomial of the same degree is produced.

Example.

Let r(x) be defined as a₁x³ + a₂x² + a₃x + a₄

s(x) is equal to b₁x³ + b₂x² + b₃x + b₄

where a ≠ 0 ≠ b and a ≠ b both belong to a set of real or complex numbers called ai and bi.

If this is how subtraction is defined, then

r(x) - s(x) = [a₁x³ + a₂x² + a₃x + a₄] - [b₁x³ + b₂x² + b₃x + b₄]

r(x) - s(x) = (a₁ - b₁)x³ + (a₂ - b₂)x² + (a₃ - b₃)x + (a₄ - b₄)

Given that (a₁ - b₁) ≠ 0, r(x) - s(x) is similarly a polynomial of fourth degree in this situation.
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Answer:

a = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

[tex]\frac{a}{4}[/tex] - [tex]\frac{5}{6}[/tex] = - [tex]\frac{1}{2}[/tex]

multiply through by 12 ( the LCM of 4, 6 and 2 ) to clear the fractions

3a - 10 = - 6 ( add 10 to both sides )

3a = 4 ( divide both sides by 3 )

a = [tex]\frac{4}{3}[/tex]

Answer:

[tex]a=\frac{4}{3}[/tex]

Step-by-step explanation:

Move all terms not containing [tex]a[/tex] to the right side of the equation.

Add [tex]\frac{5}{6}[/tex] to both sides of the equation.

[tex]\frac{a}{4}=-\frac{1}{2} +\frac{5}{6}[/tex]

To write [tex]-\frac{1}{2}[/tex]  as a fraction with a common denominator, multiply by [tex]\frac{3}{3}[/tex].

[tex]\frac{a}{4}=-\frac{1}{2}*\frac{3}{3} +\frac{5}{6}[/tex]

Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.

[tex]\frac{a}{4}=-\frac{3}{2*3} +\frac{5}{6}[/tex]

[tex]\frac{a}{4}=-\frac{3}{6} +\frac{5}{6}[/tex]

Combine the numerators over the common denominator.

[tex]\frac{a}{4}=\frac{-3+5}{6}[/tex]

Add [tex]-3[/tex] and [tex]5[/tex] .

[tex]\frac{a}{4}=\frac{2}{6}[/tex]

Cancel the common factor of [tex]2[/tex] and [tex]6[/tex].

Factor [tex]2[/tex] out of [tex]2[/tex].

[tex]\frac{a}{4}=\frac{2(1)}{6}[/tex]

[tex]\frac{a}{4}=\frac{2*1}{2*3}[/tex]

Cancel the common factor.

[tex]\frac{a}{4}=\frac{1}{3}[/tex]

Multiply both sides of the equation by [tex]4[/tex].

[tex]4\frac{a}{4} =4(\frac{1}{3})[/tex]

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of [tex]4[/tex].

[tex]a=4(\frac{1}{3})[/tex]

Simplify the right side.

Combine [tex]4[/tex] and [tex]\frac{1}{3}[/tex]

[tex]a=\frac{4}{3}[/tex]

The equation that has x = -11 as the solution is given by -

y = x + 11

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the following equation that has a variable on both sides and x = -11 as a solution.

An equation of a straight line can be used to depict the problem given. We can write the equation as -

y = x + 11

Therefore, the equation that has x = -11 as the solution is given by -

y = x + 11

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72 three course meals we can order.

Question states that;

A restaurant offers a special menu with three salad options, six meal options, and eight dessert options.

Counting Principle:

The counting rule is another name for the Fundamental Counting Principle. It's a way to figure out how many possible outcomes there are in a probability word problem. Probability is the likelihood that an event will occur. An event's probability is always a number between 0 and 1. The probability of all events added together equals one.

We need to find how many three course meals we can order;

Total number of ways,

P(A) = 3 * 6 * 8

P(A) = 72

72 three course meals we can order.

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The required numerical expression is evaluated as 67.2. Option A is correct.

Given that,
An expression is given 7.5 × 6.6 ÷ 0.6 − 15.3, we have to evaluate the given expression.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
= 7.5 × 6.6 ÷ 0.6 − 15.3
Simplify,
= 7.5 × 11 - 15.3
= 82.2 - 15.3
= 67.2

Thus, the required numerical expression is evaluated as 67.2. Option A is correct.

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The probability that exactly 10 people will show up is 0.230

Let X measure the number of people (out of 12) who show up for a flight. For each passenger

we have a 90% chance of showing up, so X is a binomial random variable with n = 12 and p = 0.90.

(b) Everyone gets a seat when X ≤ 10. We have to find the probability when exactly 10 people show up for the flight , so we use the binomial probability for P(10)

∴ P(10) = [tex]C^{n} _{x} p^{x}(1-p)^{n-x}[/tex]

P(10) = 0.230

So , the probability that exactly 10 people show up for the flight is 0.230 .

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The equation that could be used to solve for the time t in hours that she drove before her stop is 80t + 100(8/3 - t) = 250.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.

Let t = time she drove before her stop

If the total trip time is 3 hours including the stop, which took 20 minutes, then the time she drove after the stop is 3 - t - 1/3 or 8/3 - t.

If altogether she drove a distance of 250 km, then the sum of the products of the rate of speed and time each drive is equal to 250.

(80 km/h)(t) + (100 km/h)(8/3 - t) = 250

Simplify the equation.

80t + 100(8/3 - t) = 250

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Answer:

i = 7/2

ii = -7/3

Step-by-step explanation:

The line intersects one of the two axis when the vale of the other axis is 0

When x=0:

2y - 7 = 0

2y = 7

y = 7/2

When y = 0

-3x - 7 = 0

-3x = 7

x= -7/3

Answer:

The answer is B. y = -x + 7.5.

Step-by-step explanation:

The slope is -1 and the y-intercept is 7.5.

Answer:

80

Step-by-step explanation:

first you need to substract 400 from 2000, then you divide the remaining by 20

There are 45 yards of cable that will be required.

Since we have given that

Height of cable = 15 yards - 3 yards = 12 yards

Distance from pole = 9 yards

cable is the hypotenuse of the right-angled triangle.

So, it becomes,

[tex]c^{2} = b^{2}+p^{2}[/tex]

[tex]c^{2} = 12^{2}+9^{2}[/tex]

[tex]c^{2} = 144+81[/tex]

[tex]c^{2} = 225[/tex]

[tex]c = \sqrt{225}[/tex]

c=15 yards

Since the number of cables supported = 3

So, the number of yards of cable that will be required would be

= 3  x 15 = 45

Hence, there are 45 yards of cable will be required.

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The probability that there will be no repeats on the digits is 0.504.

What is meaning of probability?

The ratio of favorable outcomes with the total number of outcomes is known as probability of that event.

The number of digits of the password is 4.

The numbers from 0 to 9 is 10.

If the digit can repeat, then we can chose first digit in 10 ways, the second digit in 10, third digit in 10 ways and fourth digit in 10 ways.

The total number of ways is 10 × 10 × 10 × 10 =10000.

If the digit can't repeat, then we can chose first digit in 10 ways, the second digit in 9 (because we can't use first digit) , third digit in 8 ways (because we can't use first digit and second digit) and fourth digit in 7 ways(because we can't use first digit, second digit, and third digit).

The total number of ways is 10 × 9 × 8 × 7 =5040.

The favorable outcomes for this event is 5040.

The total number of outcomes is 10000.

The required probability is 5040/10000 = 0.504.

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The value of f(7) is 9 given that f(x) = |19 - 4x|

A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input

Given: f(x) = |19 - 4x|

To find f(7), substitute  x = 7 into f(x) = |19 - 4x|:

f(7) = |19 - 4(7)| = |19-28| = |-9|  = 9

Note: The sign |  | means absolute, the sign of any value inside it will be discarded and only the number is written

Therefore, f(7) is 9

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Answer:

Y= -1/3x+11/3

Step-by-step explanation:

Each function operation should be matched with what it is equivalent to as follows:

f(x) + g(x) = -2x² + x + 6.

g(x) - f(x) = -2x² - 5x + 2.

f(x) · g(x) = -6x³ - 10x² + 8x + 8.

h(x) - f(x) = 3x² - 7x - 2

f(x) · h(x) = 9x³ - 6x² - 8x.

f(x) + g(x) + h(x) = x² - 3x + 6.

In order to determine the solutions of the given function, we would have to evaluate each of the function based on the required mathematical operations as follows.

From the information provided, we have the following functions:

f(x) = 3x + 2

g(x) = -2x² - 2x + 4

h(x) = 3x² - 4x

f(x) + g(x) = 3x + 2 + (-2x² - 2x + 4)

f(x) + g(x) = 3x + 2 - 2x² - 2x + 4

Next, we would rearrange the function by collecting like terms as follows:

f(x) + g(x) = -2x² + (3x - 2x) + (2 + 4)

f(x) + g(x) = -2x² + x + 6 (solution).

g(x) - f(x) = -2x² - 2x + 4 - (3x + 2)

Opening the bracket, we have:

g(x) - f(x) = -2x² - 2x + 4 - 3x - 2

Next, we would rearrange the function by collecting like terms as follows:

g(x) - f(x) = -2x² + (-2x - 3x) + (4 - 2)

g(x) - f(x) = -2x² - 5x + 2 (solution).

f(x) · g(x) = (3x + 2) × (-2x² - 2x + 4)

Opening the bracket, we have:

f(x) · g(x) = -6x³ - 6x² + 12x - 4x² - 4x + 8

Next, we would rearrange the function by collecting like terms as follows:

f(x) · g(x) = -6x³ + (-6x² - 4x²) + (12x - 4x) + 8

f(x) · g(x) = -6x³ - 10x² + 8x + 8 (solution).

h(x) - f(x) = 3x² - 4x - (3x + 2)

h(x) - f(x) = 3x² - 4x - 3x - 2

h(x) - f(x) = 3x² - 7x - 2 (solution).

f(x) · h(x) = (3x + 2) × (3x² - 4x)

f(x) · h(x) = 9x³ - 12x² + 6x² - 8x

f(x) · h(x) = 9x³ - 6x² - 8x (solution).

f(x) + g(x) + h(x) = 3x + 2 + (-2x² - 2x + 4) + (3x² - 4x)

f(x) + g(x) + h(x) = -2x² + x + 6 + 3x² - 4x

f(x) + g(x) + h(x) = x² - 3x + 6 (solution).

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Answer:

75

Step-by-step explanation:

15*3=45

6*5=30

45+30=75

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The common sum is 18 as "the numbers from 1 to 8 are placed at the vertices of a cube in such a manner that the sum of the four numbers on each face is the same".

A summation, also known as a sum, is the outcome of adding two or more numbers or quantities. There are always an even number of terms in a summation. There could be only two terms, or there could be one hundred, thousand, or a million. The outcome or conclusion we arrive at when we add two or more numbers is known as the SUM. Addends are the numbers that are added.

Here,

The sum of the numbers on one face of the cube is equal to the sum of the numbers on the opposite face of the cube; these 8 numbers represent all of the vertices of the cube.

=(1+2+3+4+5+6+7+8)/2

=18

Since "the numbers from 1 to 8 are placed at the vertices of a cube in such a manner that the sum of the four numbers on each face is the same," the common sum is 18.

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Answer:

2561.2785

Step-by-step explanation:

All you gotta do is calculate and times 78.93 x 32.45

If increase the amount of the ingredients by 5 and by 20 is 51.75 grams and 207 grams respectively.

Given that, Ingredients: 2 teaspoons Worcestershire sauce

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Converted to Metric measurements : 10.35 g

Increased by 5 = 10.35 × 5

= 51.75 grams

Increased by 20 = 10.35 × 20

= 207 grams

Therefore, if increase the amount of the ingredients by 5 and by 20 is 51.75 grams and 207 grams respectively.

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When binomial distribution is used, the probability that at least 275 rooms are occupied is 0.96

Option b. is correct

We have the following parameters:

sample, n=300

proportions of rooms reserved, p=6%

We first get the sample mean,

Sample mean=n*p

                       =300*6%

                        =18

Now, we get population mean according to binomial distribution, μ'

μ=n-sample mean

   =300-18

   =282

We get the standard deviation, σ

σ=(sample mean*(1-p))^1/2

 =(18*(1-6%))^1/2

 =4.11

We now, calculate z-score:

z=(x-μ)/σ, given x should be at least 275

z=(275-282)/4.11

 =-1.703

Now, we have p(x>275)=p(z>-1.703)

From z-score of probabilities, we have p(z>-1.703) as 0.95572

So, p(x>275)=0.95572

                    =0.96

Hence, the probability that at least 275 rooms are occupied is 0.96

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