I need help with this asap, I don’t know how to solve it

Answer:

x = 1/2

Step-by-step explanation:

4x -3 = 2x - 2  There are many ways to approach this problem.  I am going to start by subtracting 2x from both sides of the equation.

2x -3 = -2  I am going to add 3 to both sides of the equation

2x = 1  Divide both sides of the equation by 2

x = 1/2

The value of complex number 6 + 7i / 6-7i is -13 / 85 + 84i/85

Complex numbers are those that are represented as a+ib, where a and b are actual numbers and I is a fictitious number termed a "iota." I has the value (-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im).

Given the complex number is -

6 + 7i / 6-7i

⇒ 6 + 7i / 6 - 7i × 6 + 7i / 6 + 7i

⇒ (6+7i)² / 6² - 7²(i²)

Using (a+b)² = a² + b² + 2ab    

⇒ 6² + (7i)² +2(6)(7i) / 36 - 49(-1)

⇒ 36 - 49 + 84i / 36 + 49

⇒ -13 + 84i / 85

⇒ -13 / 85 + 84i/85

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Answer:

length = area/width

Step-by-step explanation:

The width is missing.

area = length × width

length = area/width

Divide the area by the width to find the length.

The numeric values for the functions are given as follows:

6 - a) f(-2) = -13.

6 - b) g(4) = 11.

To find the numeric value of a function, we replace each instance of the variable by the desired value.

At item 6a, the function is given by:

f(x) = 5x - 3.

The numeric value at x = -2 is:

f(-2) = 5(-2) - 3 = -10 -3 = -13.

Hence f(-2) = -13.

At item 6b, the function is given by:

g(x) = 0.5x² + 3.

The numeric value at x = 4 is:

g(4) = 0.5(4)² + 3 = 8 + 3 = 11.

Hence g(4) = 11.

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The mode of the data is 39 as it's frequency is highest .

Mode is a measure of central tendency . It is the no . which has highest frequency in data .

Data - Frequency

 40   -   6

 35   -   7

 37   -   7

39   -   12      ( max . )

 36   -   5

 38   -   6

 41   -   4

The value of frequency corresponding to 39 is maximum .

Therefore , as 39 occurs most of the time in the data , hence it is the mode of this data .

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Height is h = 8 and base  = 19 inch in triangle .

What Does a Triangle's Area Mean?

Area of a triangle whose base is b and height is h is =1/2 * b * h

Let the height of given triangle be h inch and as base of a triangle is 3 inch greater than the height, base is ( 2h + 3)

b = 2h + 3

Hence, its area is 1/2 × h ×  (2h + 3 ) = 76 inch²

So,   1/2 × h × (2h + 3)  = 76

       2h² + 3h  = 76 × 2

       2h² + 3h - 152 = 0

       2h² + 19h - 16h - 152 = 0

       h( 2h + 19 ) -8 (2h + 19) = 0

        (h-8) ( 2h - 19)

 now   h = 8    and  h = -19/2  but height of triangle cannot be negative.

Hence height is h = 8 and base = 2 * 8 + 3 = 19 inch

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Answer: $164.5

Step-by-step explanation:

11.75*14=$164.5

The expression that uses an additive inverse and represents his net calorie intake 200 + (- 200) = 0.

In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite (number), sign change, and negation.

Now it is given that,

Calories burned by Greg = -200

Calorie taken from protien shake = + 200

Thus, Net calorie intake =  Calorie taken + Calories burned

⇒ Net calorie intake = 200 + (-200) = 0

Thus, the expression that uses an additive inverse and represents his net calorie intake 200 + (- 200) = 0.

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Answer:

i think 15.84 is right

Step-by-step explanation:

bcz Ian all there is 99 4/5 paper towels and tere were 5 rolls. so, to calculate meters of each roll of paper towels we should divide the given value by 5

99 4/5 /5

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of TU

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{1}}} \implies \cfrac{-13}{-3}\implies \cfrac{13}{3}[/tex]

hmmmm, well, if that's so, then the slope of VW will be the negative reciprocal of that only if both are really perpendicular, so

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{13}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{13}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{13}}}[/tex]

since now we know the slope if VW, let's use it

[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{y}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{y}-\stackrel{y1}{(-9)}}}{\underset{run} {\underset{x_2}{-6}-\underset{x_1}{7}}} \implies \cfrac{y +9}{-13}~~ = ~~\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{13}}\implies y+9=\cfrac{3(-13)}{-13} \\\\\\ y+9=3\implies {\LARGE \begin{array}{llll} y = -6 \end{array}}[/tex]

If [tex]y=x^m[/tex] is a solution to the ODE

[tex]x^2 y'' - 7xy' + 15y = 0[/tex]

then substituting [tex]y[/tex] and its derivatives

[tex]y' = mx^{m-1} \text{ and } y'' = m(m-1)x^{m-2}[/tex]

gives

[tex]m(m-1)x^2x^{m-2} - 7mxx^{m-1} + 15x^m = 0[/tex]

[tex]m(m-1)x^{m} - 7mx^{m} + 15x^m = 0[/tex]

[tex](m(m-1) - 7m + 15)x^{m} = 0[/tex]

We ignore the trivial case of [tex]y=x^m=0[/tex]. Solve for [tex]m[/tex].

[tex]m(m-1) - 7m + 15 = 0[/tex]

[tex]m^2 - 8m + 15 = 0[/tex]

[tex](m - 3) (m - 5) = 0[/tex]

[tex]\implies \boxed{m=3} \text{ or } \boxed{m=5}[/tex]

Answer: 14

Step-by-step explanation:

First. take the prime factorization of all three numbers:

42: 21*2 ==> 3*7*2

70: 35*2 ==> 5*7*2

84: 42*2 ==> 21*2*2 ==> 3*7*2*2

Notice any common factors? That's the GCF.

GCF: 7*2=14

GCF: 14

Answer:

14

Step-by-step explanation:

The greatest number that divides 42, 70, and 84 exactly is their greatest common factor.

Factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42

Factors of 70 = 1, 2, 5, 7, 10, 14, 35, 70

Factors of 84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The GCF of 42, 70, and 84 is 14.

The greatest number that divides 42, 70, and 84 is 14.

What is GCF?

The biggest positive integer that divides evenly into all the numbers with no remainder is the greatest common factor (GCF, GCD, or HCF) of a set of whole numbers. For instance, the GCF is equal to 6 for the set of numbers 18, 30, and 42.

How do I get the GCF of something?

The greatest common factor among numbers can be discovered in a number of ways.

Factoring:

List each number's factors in order to calculate the GCF by factoring. The factors that evenly divide into the number with no remainder are known as whole numbers. The GCF is the largest number that appears on each list of common factors for each number.

Example: Find the GCF of 18 and 27

The factors of 18 are 1, 2, 3, 6, 9, 18.

The factors of 27 are 1, 3, 9, 27.

The common factors of 18 and 27 are 1, 3 and 9.

The greatest common factor of 18 and 27 is 9.

Prime Factorization:

List all of each number's prime factors to determine the GCF by prime factorization. List the prime factors that each of the original numbers has in common. Include the most instances of each prime factor that each original number has in common. To find the GCF, multiply these by one another.

You'll observe that the prime factorization approach may be simpler than straight factoring as numbers grow larger.

Example: Find the GCF (18, 27)

The prime factorization of 18 is 2 x 3 x 3 = 18.

The prime factorization of 27 is 3 x 3 x 3 = 27.

The occurrences of common prime factors of 18 and 27 are 3 and 3.

So the greatest common factor of 18 and 27 is 3 x 3 = 9.

There is another method but it focuses on more complex numbers.

Hope this helps!

Answer:

7

Step-by-step explanation:

[tex]f(4)=4m+c=11 \\ \\ f(5)=5m+c=13[/tex]

Subtracting the equations yields that m=2, and thus c=3.

[tex]\implies f(2)=2(2)+3=7[/tex]

The approximate side length of a square on the quilt = 6.32 inch

In this question,

Taynia makes a quilt using fabric squares.

We have been given the side length of each fabric square is the square root of the area.

Here, the area of each fabric square is 40 square inches.

We need to find the approximate side length of a square on the quilt.

Let A be the area.

A = 40 square inches

To find the side length, we need to take the square root of 40.

Let s be the side length.

⇒ s = √A

⇒ s = √40

⇒ s = 6.32 inch

Therefore, the approximate side length of a square on the quilt = 6.32 inch

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Answer:

The third option is right

Step-by-step explanation:

This is because if you have two negative it becomes a positive

The acres of vacant land that the county have now will be 144 acres.

Since 36% has been used, the remaining percentage will be:

= 1 - 36%

= 64%

Therefore, the acres of vacant land that the county have now will be:

= 64% × 225

= 64/100 × 225

= 0.64 × 225

= 144

Therefore, the acres of vacant land that the county have now will be 144 acres.

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Answer:

See below to complete

Step-by-step explanation:

ABC = 37 +21 °

LMN = 85 +23 °

The amount of money the women had in the beggining was $75.

Let the total amout of money the women had intially be x.

According to the questio.

A woman went shopping and spent 2/3 of all the money she had. Then she lost 3/5 of what she had left after shopping.

So, the amount of money she spent for shopping = (2/3)x = 2x/3

⇒ The amount of money she had after shopping

= x -2x/3

= 3x -2x/3

= x/3

Now, the amount of money she lost 3/5 × (x/3) = x/5

⇒ Amount of money she have after the lost of money

= x/3  - x/5

= 5x - 3x /15

= 2x/15

It is given that she have $10.

⇒ 2x/15 = 10

⇒ 2x = 150

⇒ x = 150/2

⇒ x = $75

Hence, the amount of money the women had in the beggining was $75.

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Answer:

Yes

Step-by-step explanation:

If you have a graphing calculator or something similar, that could really help because all you would have to do is plug in the equation and look up the table and it would show that coordinate in there.

In a physical bus topology, both ends of the medium must be terminated in order to prevent "single bounce."

Bus topology, also recognized as line topology, is a network topology in which all network devices are connected by a single RJ-45 network cable and coaxial cable.

The bus, backbone, or trunk is the single cable through which all data is transmitted among devices.

Some pros of bus topology are-

Some cons of bus topology are-

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The probability that neither you nor the dealer is dealt a blackjack will be 1/26.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Suppose that you are playing blackjack against a dealer. In a freshly shuffled deck.

Then the total number of the event will be

Total events = 52

Then the probability that neither you nor the dealer is dealt a blackjack will be

Favorable event = 2 {Spade of Jack and Club of Jack}

Then the probability of that events will be

P = 2 / 52

P = 1 / 26

The probability that neither you nor the dealer is dealt a blackjack will be 1/26.

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Answer:

Your answer is 65

Step-by-step explanation:

f(x) = x² - 4x - 12

f(-7) = (-7)² - 4 x (-7) - 12

= 49 - (-28) - 12

= 49 + 28 - 12

= 77 - 12

= 65

Answer: 1.5 Burgers an hour

1/8 x 12 = 1.5

Multiply 1/8 by 12 to get and hour because 12/12ths = 1 hour