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2 years ago

9

Answer true and false please thanks

1 answer:

Aleksandr [31]2 years ago

6 0

Option a is true and others are false

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As his empire spread throughout the ancient world, Alexander founded roughly how many cities?

Studentka2010 [4]

About 70 Cities in Total.

For his more noteworthy grandness, Alexander established exactly 70 urban areas in the grounds he vanquished and requested them named after himself. Most celebrated, obviously, is Alexandria in Egypt. In India, when his dearest horse kicked the bucket, he requested a city to be constructed named Bucephala.

6 0

3 years ago

Given an arithmetic sequence with a3=5 and a5=19, find the 24th term.

krok68 [10]

The 24th term is 152

Step-by-step explanation:

The formula of the nth term of an arithmetic sequence is:

$a_n=a+(n-1)d$ , where

a is the first term
d is the common difference between consecutive terms

The third term means n = 3

∵ $a_3=a+(3-1)d$

∴ $a_3=a+2d$

∵ $a_3$ = 5

- Equate the right hand sides of the third term

∴ a + 2d = 5 ⇒ (1)

The fifth term means n = 5

∵ $a_5=a+(5-1)d$

∴ $a_5=a+4d$

∵ $a_5$ = 19

- Equate the right hand sides of the fifth term

∴ a + 4d = 19 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate a

∴ 2d = 14

- Divide both sides by 2

∴ d = 7

- Substitute the value of d in equation (1) to find a

∵ a + 2(7) = 5

∴ a + 14 = 5

- Subtract 14 from both sides

∴ a = -9

The twenty fourth term means n = 24

∵ a = -9 and d = 7

- Substitute the values of a and d in the formula of the nth term

∴ $a_24=-9+(24-1)(7)$

∴ $a_24=-9+(23)(7)$

∴ $a_24=-9+161$

∴ $a_24=152$

The 24th term is 152

Learn more:

You can learn more about the arithmetic sequence in brainly.com/question/7221312

#LearnwithBrainly

5 0

3 years ago

What is the solutions to 0=x^2-x-6<br> two things <br> ,,quadratic equationz,,,

natita [175]

Answer:

x1=3. x2=-2

Step-by-step explanation:

$x = \frac{ - b + - \sqrt{b {}^{2} - 4ac } }{2a}$

b=-1

a=1

c=-6

$x = \frac{ - ( - 1) + - \sqrt{ {( - 1)}^{2} - 4 \times 1 \times ( - 6) } }{2 \times 1}$

$x = \frac{1 + - \sqrt{1 + 24} }{2}$

$x = \frac{1 + - \sqrt{25} }{2}$

$x1 = \frac{1 + 5}{2}$

$x2 = \frac{1 - 5}{2}$

x1=3

x2=-2

$x = \frac{1 + - 5}{2}$

3 0

2 years ago

The price of a computer was decreased by 7% to £500. What was the price before the decrease? Give your answer to the nearest pen

makkiz [27]

Answer:

£ 537.63

Step-by-step explanation:

original price = 100%

selling price = 100% - 7% = 93% = £500

just do the proportion or ratio

$\frac{100\%}{93\%} = \frac{original \: price}{500}$

OP = 500 x 100% / 93%

OP = £ 537.634

rounded to the nearest penny and become £ 537.63

5 0

2 years ago

What appears to be the solution to the system of equations shown in the graph below?

AlladinOne [14]

Given:

The system of equation is,

$3x-4y = -2$ -------- (1)

$-6x+5y = 7$ -------- (2)

To find the solution.

To solve the system of equation,

From (1) we get, $3x = -2+4y$

Putting this value into (2) we get,

$-6x+5y = 7$

or, $-2(3x)+5y = 7$

or, $-2(4y-2)+5y = 7$

or, $-8y+4+5y = 7$

or, $-3y = 7-4$

or, $-3y = 3$

or, $y = -1$

From (1) we get,

$3x = -2+4(-1)$

or, $3x = -6$

or, $x = -2$

Hence,

The solution is $x= -2$ and $y = -1$

6 0

3 years ago