What is the equation of the line that passes through the point (-1,8) and has a slope of −6?

Evaluate 1(8+12)-4)+5. (6-3)​ = 31

Solution :

PEMDAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents (degree or square roots) and later we do operations on multiplication & division and at last addition and subtraction.

BODMAS, BIDMAS and PEMDAS are acronyms for remembering the order of operations in mathematics. BODMAS stands for Brackets, Orders, Division, Multiplication, Addition and Subtraction. BIDMAS and PEMDAS do exactly the same thing but using different words.

MDAS :

stands for Multiplication, Division, Addition, and Subtraction. It is part of the Order of Operations, a collection of rules that gives a sequence for simplifying mathematical operations. It is used when an expression or equation has more than one operation. According to the Order of Operations, all multiplication or division must occur before addition or subtraction. For example, the expression 6+4×5 involves addition and multiplication. According to MDAS, simplify the multiplication portion of the expression before adding. Since 4×5 equals 20, rewrite the expression as 6+20, which equals 26

= 1(8+12)-4)+5. (6-3)​

= 20 - 4+5.3

= 16+15

=31

Answer:

Evaluate 1(8+12)-4)+5. (6-3)​ = 31

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When Mei is building a raised bed in her garden to grow lettuce, it should be noted that the approximate length will be 1.4m.

It should be noted that from the information, Mei is building a raised bed in her garden to grow lettuce and she wants the base of the bed to be a square with an area of 2 square meters.

Therefore, an approximate side length of the base will be the square root of the value will be:

= ✓2

= 1.41 m

Therefore, based on the information, the approximate length will be 1.4m.

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Answer:

The last one

Step-by-step explanation:

Answer:

[tex]= \frac{5}{72}[/tex]

Step-by-step explanation:

21/3 = 7

(5/8)÷(2 21/3)

2 21/3 = 2 + 21/3 = 2 + 7 = 9

then:

(5/8)÷(2 21/3) = (5/8)÷9 = 5 ÷ (8*9)

= 5/72

Option c - (0 , -1).

Terminal Point on the Unit Circle. To find the terminal point on the unit circle, start at (1, 0), measure the angle in degree or radian on the circle (move counter clockwise if the angle is positive and clockwise if the angle is negative.) The coordinate of the endpoint is called the terminal point.

In a unit circle, θ = 3π/2 radians.

r = 1

Angle θ = 3π/2

The terminal point is (rcosθ, rsinθ)

= (cos3π/2, sin3π/2)

cos3π/2 = 0

sin3π/2 = -1

= (0, -1)

Thus,  for the unit circle 3π/2 = 0  ,the terminal points are (0, -1) . So the option C is the correct answer.

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The elevation of city D is 1 over 4 of the elevation of city C.

The answer is negative as it is the result of the product of positive and negative numbers.

Rob will earn in one year $2603.16.

Given that,
After his first month, he had more than expected to have due to the interest the bank provided.
This let Rob come up with a better expression w²/25+45W +155 where W is the number of weeks how much will you have in one year is to be determined.

The equation is the relationship between variables and represented as y =ax +b is an example of a polynomial equation.

Here,
Given expression,
w² / 25 + 45w + 155
In i year w = 52
= 52²/25 + 45 * 52 + 155
= 2603.16

Thus, Rob will earn in one year $2603.16.

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Based on the given parameters, the square box is big enough to fit the pizza?

The given parameters are:

Rewrite the parameters properly as:

Diameter of pizza = 10 +1/3 inches

Length of square box =  10.38 inches

Express the diameter as a numeral.

So, we have:

Diameter of pizza = 10 + 1/3 inches

Evaluate the sum

Diameter of pizza = 10.33 inches

By comparison:

10.33 inches is less than 10.38 inches

This means that the square box is big enough to fit the pizza

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Complete question

Dion has a pizza with a diameter of ten and one third inches.is a square box of 10.38 inches big enough to fit the pizza?

Answer:

64=18

Step-by-step explanation:

The function to evaluate the expression is f(x)+f (2) =4x^2+22.

The function simplify () attempts to "simplify" the input expression by using clever heuristics.

⇒ f(x)=4x^2+3

⇒ f(x+2)=4(x+2)^2+3

by using algebra formula

⇒ f(x+2)=4(x^2+4+4x)+3

⇒ f(x+2)=4x^2+16x+19

by adding f(x)+f (2)

⇒ f(x)+f(2)=4x^2+3+(4×(2)^2 )+3

⇒ f(x)+f(2)=4x^2+3+(4×4)+3

⇒ f(x)+f(2)=4x^2+3+16+3

⇒ f(x)+f(2)=4x^2+22

There is a general function called simplify () that seeks to reduce an expression to its most basic form. Simplify in simply, this function is defined. reduce module.

Hence, the function to evaluate the indicated expressions and simplify f(x)=4x^2+3, f(x+2)=4(x+2)^2+3 and f(x)+f(2)=4x^2+22.

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On solving the algebraic expression, the total cards present were 80.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

the number of cards in the starting hand, let x

Total card = 55

(1/2)x + 15 = 55

By solving, we discover

x = 80 cards

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The integer that represents Marcus location relative to the surface is -18 and Marcus has to go 18 meters to return to the surface

The depth is given as

Depth = 18 meters below sea level

Below sea level is represented as negative

So, we have

Depth = -18

Hence, the integer that represents Marcus location relative to the surface is -18

The distance to return to the surface is

Distance = |Depth|

This gives

Distance = |-18|

Evaluate

Distance = 18

Hence, Marcus has to go 18 meters to return to the surface

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The value of k for the given equation is k = 3.

A factor is a number which divides another number by itself and leaves no remainder.

For the given equation;

p⁴ + p² + p - k has the factor of p -1.

It means, for p = 1, is the roots of the equation and thus, must satisfy it.

Put p = 1 in the equation and put equal to zero.

p⁴ + p² + p - k = 0

1⁴ + 1² + 1 - k = 0

3 - k = 0

k = 3

Thus, the value of the k is found as 3.

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its 3 because i know its 3

Answer:

34.

Step-by-step explanation:

-163 - 18 = -181

-181 - (-215) = 34.

Answer:

34

Step-by-step explanation:

-163-18-(-215)

-163-18+215

-181+215

34

(I tried my best, is this what your question was?)

Answer:one million one hundred and twenty-seven thousand three hundred and twenty-six

Step-by-step explanation:

Yes, it should be that.Giovanni's account balance has the least variation from maximum to minimum that month.

It should be noted that the formula for calculating the variation is;

Balance difference  = Maximum balance - Minimum balance.

For Jordan;

Maximum balance = $145.

Minimum balance = $-25

Balance difference  = 145 - (-25) = $170

For Giovanni;

Maximum balance = $168.

Minimum balance = $15.

Balance difference  = 168 - 15 = $ 153.

For Elisa;

Maximum balance = $152.

Minimum balance = $-10

Balance difference  = 152 -(-10) = $162.

Therefore, for the data it is clear that the minimum account variation is for Giovanni which is $153.

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The correct option is A. 0.156. The number (1.092×10¹) is 156 times larger than number (7×10⁻¹).

For the given number;

The number 1.092×10¹ can be written as; 10.92 after multiplication with 10.

Similarly, the number 7×10⁻¹ can be written as 0.7 after diving with 10.

Now, divide larger number by 0.7

=  10.92/0.7

= 156

Thus, the number 1.092×10¹ is almost 156 time greater than (7×10⁻¹).

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If a temperature differs from normal by x° F it will be 73.9° F ± x° F.

A mod function is defined as |x|= a which is x = a or - x = - a.

According to the given question a normal temperature for a certain animal is 73.9 F if a temperature x that differs from the normal it can be

73.9° F + x° F or 73.9° F - x° F which is

73.9° F ± x° F.

Because rise of temperature and fall of temperature is a temperature difference that differs from the normal temperature.

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Answer: t=12v

Step-by-step explanation: 3t = 1/4v   Find unit rate

1/3(3t) = 1t

1/3(1/4v) = 12v

Now let's check

if v = 1/4 then 12 x 1/4 =3

I explained it the best i could it prb doesn't help but i hope it does :D

The slope of the two equations is required to answer this

What is an equation?

An equation is a formula in mathematics that expresses the equality of two expressions by linking them with the equals sign. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.

Given equation

[tex]y=x+1[/tex] has slope [tex]m1=1[/tex]

and the other equation

[tex]-\frac{6}{5}x+3[/tex] has slope [tex]m2 =-\frac{6}{5}[/tex]

For parallel equations, [tex]m1=m2[/tex]

and for perpendicular equations, [tex]m1[/tex]x[tex]m2=-1[/tex]

These two equations are neither parallel nor perpendicular.

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Kinko's checkbook balance: $3,301.82 +Collection on notes receivable: $400,00 -Collection fee: $10.00 Notes-fee- $390.00 Error in recording: $69.00 Balance (Notes-fee)+Error= $3,760.82 -NSF Check: $690.65 -Service Charge: $8.50 Total in deduct: $699.15 Reconciled Balance: $3,061.67

Kinko's bank balance: $2,955.82

+Deposit in transit: $510.19 Balance+DIT= $3,466.01 -Outstanding checks (total): $404.34 Reconciled balance: $3,061.67

The number of different ways the agent can telephone the prospects = 1020

In this question, an insurance agent has a list of 7 prospects and decides to telephone 3 of the prospects today and the other 4 prospects tomorrow.

We need to find the number of different ways the agent can telephone the prospects.

We use the formula of permutation.

^n(P_r) = n! / (n - r)!

where n! = n × (n - 1) × (n - 2) × . . . × 1

For this question, n = 7

The number of different ways the agent can telephone the prospects today.

We use r = 3

^7n(P_3)

= 7! / (7 - 3)!

= 210

And the number of different ways the agent can telephone the prospects tomorrow.

We use r = 4

^7n(P_4)

= 7! / (7 - 4)!

= 810

so, the number of different ways the agent can telephone the prospects = 210 + 810

= 1020

Therefore, the number of different ways the agent can telephone the prospects = 1020

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Answer:

12,900

Step-by-step explanation:

18,900 - 6,000= 12,900

Answer:

================================

Relationship between grade and degree is:

or

or

We have angle x grades for which, the difference of grades and degrees is 16.

We can show this as:

The number of degrees is:

Complex fraction of 25 : 4 is 6 1/4.

Complex fraction of 45 : 10 is 4 5/10.

What is the Ratio?

A ratio is an ordered pair of numbers x and y, written x / y where b ≠ 0.

The ratios are given as;

25 : 4 and 45 : 10

Now, To write the ratios in complex fraction we use division method as;

25 : 4 = 25/4

 _____

4 ) 25 ( 6

 -  24

  -----------

        1

Hence, Complex fraction of 25 : 4 is 6 1/4.

And, For ratio 45 : 10;

45 : 10 = 45/10

10 ) 45 ( 4

  -  40

  ---------

      5

Hence, Complex fraction of 45 : 10 is 4 5/10.

Therefore, Complex fraction of 25 : 4 is 6 1/4.

Complex fraction of 45 : 10 is 4 5/10.

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Using the percentage and hours, the total number of technician that was there is 42.

The project is budgeted for 2400 hours and will last 3 weeks.

This means the whole project will last for 2400 hours for 3 weeks.

Technicians will cover 25% of the project for the first week and then 60% for the final two weeks.

This simply implies 25% of the project will be completed in the first week. Then 60% of the remainder of the project will be completed the final two weeks.

Each technician normally works 40 hours per week.

Therefore,

Number of hours for the first week = 25 % of 2400

Number of hours for the first week = 25 / 100 × 2400

Number of hours for the first week = 600 hours

Therefore,

number of technicians for the first week = 600 / 40

number of technicians for the first week = 15 technicians

Therefore,

Number of hours for the final two week = 60 % of (2400 - 600)

Number of hours for the final two week = 60 / 100 × 1800

Number of hours for the final two week = 1080 hours

Hence,

number of technicians for the final two week = 1080 / 40

number of technicians for the final two week = 27 technicians

Therefore, the total number of technician that was there is 42.

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Work Shown:

A = original price

B = final price

C = difference in price

C = A - B

C = 899 - 599.95

C = 299.05  <--- this is the amount you save

D = C/A

D = (299.05)/(899)

D = 0.3326

D = 33.26% approximately