Which expression is equivalent to the expression

Answer:

1007

Step-by-step explanation:

Divide the expression by two parts: the first one with all positive integer (the integer which can't be divided by two), 1+3+5+...2013 and the rest -2-4-6-...-2012

If you notice both parts are arithmetical sequences

Explore the first one 1+3+5...+2013

a1=1 d=3-1=2 an=2013

a1+d(n-1)=an

1+2(n-1)=2013

2(n-1)=2012

n-1=1006

n=1007

Sn=( 1/2)*(a1+an)*n= 0.5*2014*1007=1007*1007=1014049

-2+(-4)-...-2012

a1=-2

d=a2-a1= -4-(-2)=-2

a1+d(n-1)=an

-2+(-2)(n-1)=-2012

n=1006

Sn= (a1+an)/2*n=(-2-2012)/2*1006=-1007*1006

-1007*1006+1007*1007= 1007- the answer

The second mean

1-2=-1

3-4=-1

5-6=-1

There are 2012/2=1006 couples and every of them has sum -1

-1*1006=-1006

-1006+2013=1007

You're dividing 2/3 by 1/4, which is

[tex]\dfrac{\dfrac23}{\dfrac14} = \dfrac23 \times \dfrac41 = \dfrac{2\times4}{3\times1} = \boxed{\dfrac83}[/tex]

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 26 possibiliteis of the first and last initials. So there are [tex]26\times 26[/tex] different initials.

So the smallest class size to ensure the Prof to use different system is [tex](26\times 26)+1[/tex] since there must be two people in this class with the same first and last initials.

Answer:

[tex]2x + y = 5 \\ y = 5 - 2x[/tex]

[tex]2x - y + = 5 \\ - y = 5 - 2x[/tex]

[tex]x + 2y = 5 \\ 2y = 5 - x \\ 2y = 4 x [/tex]

Answer:

the answer is the 3rd choice: Pe=$14, Qe=31

Step-by-step explanation:

locate the price where S1 and D1 intersect= 14

locate the quantity where S1 and D1 intersect= 31

so, Pe=$14 and Qe=31

Answer:

1890

Step-by-step explanation:

Area formula: B × H

Substitute and solve:

70 × 27 = 1890

So, the area is 1890.

Hope this helped.

9514 1404 393

Answer:

Step-by-step explanation:

The tangent function is periodic with a period of 180°. So ...

  tan(205°) = tan(25°) = a

__

The identity relating sine and tangent is ...

  sin(x) = tan(x)/√(tan²(x)+1)

Rationalizing the denominator gives ...

  sin(x) = tan(x)√(tan²(x)+1)/(tan²(x)+1)

  sin(25°) = a√(a²+1)/(a²+1)

__

  cos(65°) = sin(25°) = a√(a²+1)/(a²+1)

__

  cos(245°) = -sin(25°) = -a√(a²+1)/(a²+1)

Step-by-step explanation:

6m+7n+5m-3n

11m+7n-3n

11m+4n

Answer: 16

Step-by-step explanation: following PEMDAS you’ll solve the exponent first

3^2= 9

9+21/3

Then solve the division

21/3 = 7

9+7

Then addition

9+7= 16

Answer:

Total: 1060 Gain: 60

Step-by-step explanation:

1000 (Current Amount) x 0.03 (3% as a decimal) x 2 (year amount) = 60 + 1000 (Original Amount Invested) = 1060

Answer:

⚪ (4 • 3) + (4 • 8)

Step-by-step explanation:

[tex]4•(3 + 8)[/tex]

by distributing 4 in the bracket:

[tex] = \{(4•3) + (4•8) \}[/tex]

Step-by-step explanation:

Answer and Step-by-step explanation:

To find the GCF (Greatest Common Factor), you need to see what all of the numbers have in common.

By looking at the terms in the expression, we can see that all the numbers are divisible by 4, so lets factor that out.

[tex]4(23x^7y^5+24x^5y^4+11x^4y^5)[/tex]

We can also see that the terms have a [tex]x^4[/tex] and [tex]y^4[/tex] in common, so factors those out.

[tex]4x^4y^4(23x^3y+24x+11y)[/tex] <- This is the answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

heliocentric = sun is center

geocentric = earth is center

Answer:

Heliocentric Theory goes with 2.

Geocentric Theory  goes with 1.

Step-by-step explanation:

The Heliocentric theory is the theory that the Sun is the center of the solar system. Hence, the prefix "helio" which means "relating to the sun"

The Geocentric theory is the theory that the earth is the center of the solar system. Hence, the prefix "geo" which means earth.

A good way to remember which is which is to remember the prefixes.

Answer:

a. 62

Step-by-step explanation:

use the Bodmas method

=3×9-5+20×2

=62

The value of the expression {[3 x (3+6) - 5] + 20 x 2 will be 62. so option A is correct.

We can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

So, use the Bodmas method

=[3 × 9 - 5 ]+ 20 × 2

= [27 -5] + 40

= 22 + 40

=62

Therefore,  the value of the expression {[3 x (3+6) - 5] + 20 x 2 will be 62. so option A is correct.

Learn more about evaluating a function at a value here:

https://brainly.com/question/2753269

#SPJ2

Answer:

56

Step-by-step explanation:

solve expression using pemdas

(shown in image attached)

[tex]( - 8 \times - 6) - {4}^{2} \\ \\ - 77 - 16 \\ - 93[/tex]

Answer:

[tex](fog)(x) = f(g(x)) \\ = 7(4 - 2x) - 7 \\ = 28 - 14x - 7 \\ = 21 - 14x \\ = - 14x + 21[/tex]

[tex](gof)(x) = g(f(x)) \\ = 4 - 2(7x - 7) \\ = 4 - 14x + 14 \\ = 18 - 14x \\ = - 14x + 18[/tex]

I hope I helped you^_^

Answer:

1 Refelction in the diagnal axis, translation to the right

Step-by-step explanation:

Im a bit unsure about this, question is a bit vauge

Answer:

1636mi/hr

Step-by-step explanation:

2400ft/s = _______mi/hr                   1 hr = 3600s          1mi = 5280ft

2400ft/s   x   3600s/hr   x   1mi/5280ft = 1636mi/hr

Answer:

48000cm

Step-by-step explanation:

5:15000

But, 1cm will be 3000

16cm will be 16*3000 =48000cm

Answer:

[tex]x(t) = 3 + t[/tex]

make t the subject:

[tex]t = x - 3[/tex]

for y :

[tex]y(t) = - {t}^{2} \\{ \boxed{ \boxed{ y(t) = - {(x - 3)}^{2} }}}[/tex]

Answer: when you simplify it you get 6 81/100 and you cant go any further because you will start to get into approximate values.

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-∝;2)

Answer: (-infinity, 2]

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

They are complementary which means they add to 90. I take it that the c is a typo and you meant x

6x + 3 + 4x + 7 = 90                  Combine like terms.

10x + 10 = 90                             Subtract 10 from both sides

10x = 90 - 10

10x = 80                                    Divide by 20

x = 80/10

x = 8

9514 1404 393

Answer:

  3

Step-by-step explanation:

This is basically a calculator problem, though you can do it in your head. Follow the order of operations.

  [tex]\dfrac{\sqrt{144}}{\sqrt[5]{243}}-5+16\div\sqrt[3]{64}=\dfrac{12}{3}-5+\dfrac{16}{4}\\\\=4-5+4=\boxed{3}[/tex]

Answer:

3

Step-by-step explanation:

(√144/ ^5√243/) - 5 + 16 ÷ (³√64) =

12/3 -5 +16÷ 4 =

4 - 5 + 16 ÷ 4 =

-1 + 4 =

3