Simplify the expression: (5 - 4i) (6 - 2i).

Step-by-step explanation:

Since the sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 1/3

d = 1/2 - 1/3 = 1/6 or 2/3 - 1/2 = 1/6

Substitute the values into the above formula

That's

So the nth term of the sequence is

For a50 since we are finding the 50th term

n = 50

So we have

We have the final answer as

Hope this helps you

Answer:

3 bags cost $8.25

Step-by-step explanation:

Proportions:

6 bags  ⇔   $16.50

3 bags   ⇔   $B

B = 16.5*3/6

B = $8.25

Answer:

Step-by-step explanation:

8.25

Answer: m∠F = 31°

Solution: The triangle's rotation is irrelevant to the measure of its angles. In other words, angles D, E, and F will all stay the same if the triangle is turned ("rotated"). That being said, we know by definition that the interior angles of a triangle add up to 180°. We are given two of the angles, and we are asked to find the third:

A mode is a number that shows up more often than other numbers.

The number 5 would be a mode because there are two of them.

Since there are 2 modes and the numbers go from smallest to largest x would need to be 9, so there would be two 9’s

X = 9

Answer:

1

Step-by-step explanation:

12x+x+4=17

13x=17-4

13x=13

x=1

Answer:

[tex]g = 2b-83[/tex]

[tex]b+g=259[/tex]

Number of boys = 114

Number of girls = 145

Step-by-step explanation:

Let the number of boys in the class = [tex]b[/tex]

Now, as per question statement,

Number of girls is 83 less than twice the number of boys.

Representing in the form of equation.

Let number of girls = [tex]g[/tex]

[tex]g = 2b-83 ....... (1)[/tex]

Also, given that total number of students in the class = 259

i.e. [tex]b+g=259[/tex]

Putting value of [tex]g[/tex] using equation (1):

[tex]\Rightarrow b+2b-83=259\\\Rightarrow 3b-83=259\\\Rightarrow 3b=259+83\\\Rightarrow 3b=342\\\Rightarrow \bold{b=114}[/tex]

So, number of boys, b = 114

Putting value of [tex]b[/tex] in equation (1) to find the value of [tex]g[/tex].

[tex]\Rightarrow g = 2(114)-83 \\\Rightarrow g = 228-83\\\Rightarrow \bold{g = 145}[/tex]

So, number of girls, g = 145.

Hence, the answer is:

Number of boys = 114

Number of girls = 145

Answer:

√119 = 10.908712114636

Answer:B. y=0.5x+0.3

Step-by-step explanation:a. p. e. x.

The slope of the points is closer to 0.5 thus y = 0.5x + 1.2 will be the best approximation thus option (B) is correct.

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

As per the given points,

Let's take two-point (1,1)  and (2,1.5)

The slope associated with the above points will be as,

(1.5 - 1)/(2 - 1) = 0.5

Thus, the line will be y = 0.5x + 0.3

Hence "The slope of the points is closer to 0.5 thus y = 0.5x + 1.2 will be the best approximation".

For more about the linear function,

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Answer:

y = x - 3

Step-by-step explanation:

Equation of line in slope point form is given as:

y - y_1 = m(x - x_1)

[tex]y - y_1 = m(x - x_1) \\ y - 2 = 1(x - 5) \\ y - 2 = x - 5 \\ y = x - 5 + 2 \\ y = x - 3 \\ [/tex]

Answer:

The correct equation for the scenario is C=k / f

Number of cars when fee=$6 is

C=k/6

Step-by-step explanation:

Let

C= number of cars

f=fee

Number of cars increases as fee decreases

This is an inverse variation

Therefore,

C= k / f

When,

f=$6

C= k / f

C=k/6

The correct equation for the scenario is C=k / f

Number of cars when fee=$6 is

C=k/6

Answer:

b = 4.33 in

Step-by-step explanation:

angle A = 72°

hypotenuse = 14 in

Required: Adjacent side length (b)

use the formula Cos A = adjacent / hypotenuse

cos (72) = b / 14

b = cos (75) * 14

b = 4.33 in

Answer:

14.25

Step-by-step explanation:

14 25/100= 14*100+25/100=

1400+25/ 100

= 1425/100

= 14.25

Answer:

14.25

Step-by-step explanation:

the expression 14 25/100 can be written as 14+25/100

now converting 25 into decimal to cancel out the denominator we ll get 0.25

now adding 14 into 0.25

14+0.25

we get 14.25

Answer:

Hey there!

p(x)=x+30

p(13)=13+30

p(13)=43

5(43)=215

Let me know if this helps :)

Answer:

x = -8/3

Step-by-step explanation:

So first let's simplify the expression. Grouping together like terms gives:

-3x + 7 = -1

Subtracting 7 from both sides gives

-3x = -8

Meaning x = -8/3

Answer:

x = 8/3 or 2.67

Step-by-step explanation:

6x - 9x + 7 = -1

6x - 9x = -3x

-3x + 7 = -1

       -7    -7

-3x = -8

/-3    /-3

x = 8/3 or 2.67

Answer:

12

Step-by-step explanation:

2x - 6 = ?

x = 9

You substitute x for 9: the value of x.

2(9) - 6 = ?

2 * 9 = 18

18 - 6 = 12

So your answer is 12.

Hope it helps : )

Brainliest pleaseeee

Answer:

a = 5

Step-by-step explanation:

Hello, please consider the following.

[tex]6x^3+18x^2-240x=6x(x^2+3x-40)\\\\\text{** The sum of the zeroes is -3=-8+5 and the product is -40=-8*5. **}\\\\\text{** So, we can factorise. **}\\\\6x^3+18x^2-240x=6x(x^2+3x-40)=6x(x^2+8x-5x-40)\\\\=6x(x(x+8)-5(x+8))\\\\\large \boxed{=6x(x+8)(x-5)}[/tex]

So, a = 5.

Thank you.

Answer:

20 is the correct answer

Step-by-step explanation:

you're welcome :)

Answer:

C

Step-by-step explanation:

2x + 3(x - 10) = 45

2x + 3x - 30 = 45

5x - 30 = 45

5x = 75

x = 15

Answer:

D

Step-by-step explanation:

The lines in A meet at a right angle (90°) so they are perpendicular.

The lines in B meet at a right angle (90°) so they are perpendicular.

The lines in C do not meet and appear to be parallel.

The lines in D meet at an angle that does not appear to be 90°, so they are neither perpendicular nor parallel.

★ Given :

[tex]\begin{lgathered}\bullet\:\:\textsf{Radius of circle = \textbf{7 meter}}\end{lgathered}[/tex]

[tex]\rule{130}1[/tex]

★ Digram :

[tex]\setlength{\unitlength}{1mm}\begin{picture}(50,55)\thicklines\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\put(25,30){\line(5,0){20}}\put(25,30){\circle*{1}}\put(29,26){\sf\large{7 m}}\end{picture}[/tex]

[tex]\rule{130}1[/tex]

★ Solution :

☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}[/tex]

[tex]:\implies\sf Area\:of\:circle = \pi r^2 \\\\\\:\implies\sf Area\:of\:circle = \dfrac{22}{\cancel{7}} \times \cancel{7} \times 7\\\\\\:\implies\sf Area\:of\:circle = 22 \times 7\\\\\\:\implies\sf Area\:of\:circle = 154 m^{2}[/tex]

⠀

[tex]\therefore\:\underline{\textsf{Area of circle is \textbf{154}} \:\sf{m^2}}.[/tex]

[tex]\rule{170}{2}[/tex]

The equivalent expression after combining the like terms is -3x - 7.

We have,

Expression:

-3x - 6 + (-1)

-6 and -1 are like terms.

To combine the like terms simply add them together:

-3x - 6 + (-1)

-3x - 7

-3x is the only term so it can be simplified further.

This is the simplest form of the expression.

Therefore,

The equivalent expression after combining the like terms is -3x - 7.

Learn more about expressions here:

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Answer:

I got 50.7%, rounded up to be 51

Step-by-step explanation:

Add up all of Sohan's points and divide it by the total number of points and move the decimal over 2 places

Answer:

67/24

Step-by-step explanation:

Simplify the numerical expression.

2/3 divided by 2^4 + (3/4 + 1/6) divided by 1/3

2/3 ÷ 2⁴ +(3/4 + 1/6) ÷ 1/3

(2/3 ÷ 2⁴ ) +[(3/4 + 1/6) ÷ 3]

= (2/3 ÷ 16) + [9 + 2/12) ÷ 1/3]

=( 2/3 × 1/16 ) + [ 11/12 × 3]

= 1/24 + 11/4

= 67/24

Answer:

i hope it will work

Step-by-step explanation:

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

f(1)=-5(1)^2 +2(1) +9 = 6

similarly

f(2)=-5(2)^2 +2(2) +9  = -7

if its help-full then hit the stars and brain-list it

thanks

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

Explanation:

Points are of the form (x,y), where y = f(x) since y and f(x) are outputs.

When we vertically stretch by a factor of 3, we are making the function curve 3 times more stretched out along the vertical y axis. So a general point (x,y) becomes (x,3y). Whatever the y coordinate is, we multiply by 3 to get its stretched out counterpart.

Eg: (0,-2) on f(x) moves to (0,-6) which is on g(x)

-------------

Since y = f(x), and we're multiplying y by 3, we can say

f(x) = |x-3| - 2

3*f(x) = 3*( |x-3| - 2 )

3*f(x) = 3|x-3| + 3(-2)

3*f(x) = 3|x-3| - 6

g(x) = 3|x-3| - 6

Answer:

south america and north america

Step-by-step explanation:

Answer:

-5|-7|

Step-by-step explanation:

[tex]-\left|-5\left(-7\right)\right|\\\\\mathbf{missing\:stepId}=\\\\Refine\:Abs\:Checked\:3Eq,\:\\\\|ax|=a|x|,\:a\ge 0,\:-\left|-7\right|\\=-5\left|-7\right|[/tex]

Answer:

[tex]\Huge \boxed{\mathrm{-35}}[/tex]

Step-by-step explanation:

[tex]\Rightarrow -|-5* (-7)|[/tex]

Multiplying the terms in the absolute value.

[tex]\Rightarrow -|35|[/tex]

The absolute value of a number is the distance between that number and zero.

The absolute value of 35 is 35.

[tex]\Rightarrow -35[/tex]

Answer:

a(n)= 4*n+1

a(n+1)=5+4*n

Step-by-step explanation:

The sequence   5, 9, 13, 17 is the ariphmetic progression where a(1)=5 is the first member of the progression and the diference is d=9-5=4 (the distance between the neighboring members)

For ariphmetic progression is known that n- term is equal to

a(n)=a(1)+d*(n-1)

So for our case

a(n)=5+4(n-1)=5+4n-4=4n+1

a(n+1)= 5+4(n+1-1)= 5+4n