Simplify the expression.

16-4[3+2÷(9-7)]

A) 0
B) 6
C) 30
D) 64​

Answer:

A and D

Step-by-step explanation:

Rational numbers that can be written as a fraction of two integers (without a denominator of 0).

The other three cannot be written as a fraction or two integers.

Answer:

  B. cos(pi/2) +i·sin(pi/2)

Step-by-step explanation:

You can convert to rectangular and back, or you can use the trig function relations directly.

  w = 4·cis(π/2) = 4i

  z = 3·cis(3π/2) = -3i

Then the sum is ...

  w +z = 4i -3i = i = cis(π/2) . . . . matches choice B

__

An alternative representation of z is ...

  z = -3·cis(π/2)

Then ...

  w +z = 4·cis(π/2) -3·cis(π/2) = cis(π/2)

_____

Additional comment

In the above, we have used cis(α) to represent (cos(α) +i·sin(α)).

Answer:

your answer would be 1

Step-by-step explanation:

The whole equation is divided by 3 to get 2x-4y=5, but since there is a 6 we need to subtract 1 away to get 5.

Answer: 5=rl

Step-by-step explanation:

Answer:

U can download apps to help u hope you find your answer

Answer:

The slope of the line is 1

Step-by-step explanation:

I picked two points on the line: (0,3) and (-3,0). Then, I used the formula for slope which is the change in y over the change in x and got the answer 1.

Answer:

10

Step-by-step explain

Answer: $11

Step-by-step explanation:

To have the same:

11+8=19

19×2=38

Answer:

It would be $11

Step-by-step explanation:

Hope it helps (Could you mark brainliest please)

Answer:

= 22 is the answer, if I got it wrong I tried to help

Answer:

22

Step-by-step explanation:

Please give BRANIEST and heart!

Answer:get scammed 4/7 of the T-shirts in a crate are in size S. The rest are in size M and L.

The ratio of the number of T-shirts in size M to the number of T-shirts in

size L is 2:3. There are 48 more T-shirts in size L than in size M. Find the number of T-shirts in size S.​

Step-by-step explanation:

Answer:

210 + -1x

Step-by-step explanation:

Simplifying

X + (x + -30) = 180

Reorder the terms:

X + (-30 + x) = 180

Remove parenthesis around (-30 + x)

X + -30 + x = 180

Reorder the terms:

-30 + X + x = 180

Solving

-30 + X + x = 180

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '30' to each side of the equation.

-30 + X + 30 + x = 180 + 30

Reorder the terms:

-30 + 30 + X + x = 180 + 30

Combine like terms: -30 + 30 = 0

0 + X + x = 180 + 30

X + x = 180 + 30

Combine like terms: 180 + 30 = 210

X + x = 210

Add '-1x' to each side of the equation.

X + x + -1x = 210 + -1x

Combine like terms: x + -1x = 0

X + 0 = 210 + -1x

X = 210 + -1x

Simplifying

X = 210 + -1x

Answer:

(2-c)=d

Step-by-step explanation:

completing the square

hope it can help you lovelots

Answer:

  1150 ft W 52° N

Step-by-step explanation:

There are several ways a problem like this can be solved. Perhaps the easiest is to make use of a suitable vector calculator.

Using West as the reference for angles measured clockwise (toward north), the final position is ...

  1000∠45° +200∠90° = 1150.149∠52.063°

__

You can also figure this using the Law of Cosines. It will tell you the resultant distance (c) in terms of the individual distances (a, b) and the angle between them (135°).

  c² = a² +b² -2ab·cos(C)

  c² = 1000² +200² -2·1000·200·cos(135°) ≈ 1,322,842.7

  c ≈ √1322842.7 ≈ 1150.149

The angle difference from 45°N can be found using the Law of Sines.

  sin(B)/b = sin(C)/c

  B = arcsin(b/c·sin(C)) = arcsin(200/1140.149·sin(135°)) ≈ 7.063°

This means Caroline's bearing from home is 45° +7.063° ≈ 52° north of west.

Caroline's final position is 1150 W 52° N in relation to her home.

Answer:

to what?

Step-by-step explanation:

there's nothing

Answer:

1.73

Step-by-step explanation:

Answer:

=3b^2x(2b-1)x(2b+1)

Step-by-step explanation:

Answer:

15 boys

Step-by-step explanation:

Step 1: Set up the equation.

Step 2: Combine like terms.

Step 3: Divide both sides by 7.

Step 4: Plug in the value of 5 for x in 3x.

Therefore, the answer is 15 boys.

Step-by-step explanation:

the factor of x : 20 or 20/1

that means with each additional videotaping (number of tapings goes up by +1) the cost goes up by +20.

Answer:

7

Step-by-step explanation:

17 +4 = 21

21/3 = 7

Answer:

right

Step-by-step explanation:

draw a line and right a number from 1 to 10

We must use the simple interest formula which is: A = P(1+rt) where

A = output amount , P = initial amount, r = rate as a decimal, and t = time.

so in this case we would write:

A(30) = P(1+rt) = 3000(1 + 0.013(30)) = 4170

We then see that A(30) is equal to $4170 at 30 years.

Answer:

x+8*2=57.4

x=41.4

Step-by-step explanation:

Peter is thinking about a number. So, let's represent that number by x. So, he adds 8 to that number. x+8 so far. Then he doubles the result. x+8*2  to get an answer of 57.4. x+8*2=57.4. Ok, now in order to solve for x we would take 8*2 and get 16. 57.4-16=41.4. Now we know that x is 41.4. Substitute x into the equation. 41.4+8*2=57.4. 57.4=57.4. Have a great day! :)))))

Step-by-step explanation:

marked price = 100%

1% = 100%/100 = marked price / 100

discount = marked price - selling price

discount % = discount / 1% =

= (marked price - selling price) / (marked price)/100 =

= 100×(marked price - selling price) / (marked price)

Answer:

answer is 2

Step-by-step explanation:

absolute value of -2 is 2

Answer:

2

Step-by-step explanation:

Answer: Para demostrar cómo calcular esto, digamos que tenemos una línea que pasa por un punto p con dirección v, es decir, parametrizada como \ gamma (t) = \ mathbf {p} + t \ mathbf {v}.

Sea L una rotación de 90 grados hacia la izquierda. Entonces, un punto x está a la izquierda de su línea si \ langle \ mathbf {x} - \ mathbf {p}, L \ mathbf {v} \ rangle es positivo, a la derecha si es negativo, y en la misma línea si es cero.

Respuesta 2:

Una línea en un plano no tiene un lado preferido, por lo que sin algo que distinga los lados de una línea, no puede haber una cuestión de qué lado de una línea se encuentra un punto.

Sin embargo, puede preguntar si dos puntos en ese plano, no en la línea, se encuentran en el mismo lado de la línea. Si el segmento de línea entre esos dos puntos se cruza con la línea, entonces se encuentran en lados opuestos de la línea; de lo contrario, se encuentran en el mismo lado de la línea.

Respuesta 3:

Trace la línea en una gráfica, digamos x = y. Cualquier coordenada de un punto donde xey son =, entonces se encuentra en la línea (17,17).

Si x es mayor que y, nuestro punto estará por debajo de la línea (3,2).

Si y es mayor que x, el punto estará por encima de la línea (1,2).

Si su línea es y = 2x, entonces y tendría que ser mayor que 2x para estar por encima de la línea.

Nuestra comparación en este gráfico xy está por encima o por debajo. Esto se debe a que generalmente hacemos referencia a nuestra línea ay =. Si lo reescribimos como x =, nuestra misma línea comparada con x sería a la izquierda o derecha de.

Step-by-step explanationNuestra comparación en este gráfico xy está por encima o por debajo. Esto se debe a que generalmente hacemos referencia a nuestra línea ay =. Si lo reescribimos como x =, nuestra misma línea comparada con x sería a la izquierda o derecha de.:

Step-by-step explanation:

Answer:

5 is the base

4 is the exponent

[tex]\\ \rm\leadsto a^2(a^4)^3\div a^{13}[/tex]

[tex]\\ \rm\leadsto a^2a^{12}\div a^{13}[/tex]

[tex]\\ \rm\leadsto a^{14}/a^{13}[/tex]

[tex]\\ \rm\leadsto a[/tex]

Answer:

[tex]a^2 \cdot \left(a^4\right)^3 \div a^{13}=a[/tex]

Step-by-step explanation:

Given expression:

[tex]a^2 \cdot \left(a^4\right)^3 \div a^{13}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies a^2 \cdot a^{(4 \cdot 3)} \div a^{13}[/tex]

[tex]\implies a^2 \cdot a^{12} \div a^{13}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies a^{(2+12)} \div a^{13}[/tex]

[tex]\implies a^{14} \div a^{13}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \div a^c=a^{b-c}:[/tex]

[tex]\implies a^{(14-13)}[/tex]

[tex]\implies a^1[/tex]

[tex]\textsf{Apply exponent rule} \quad a^1=a:[/tex]

[tex]\implies a[/tex]

Learn more about exponent rules here:

https://brainly.com/question/27859523

Answer:

8

Step-by-step explanation:

v=l*w*h so 2^3=8