Multiple Rules (Condense)
You can also use multiple rules at a time to condense
multiple log expressions to one.
2 log(x) +3 log(y) – 4 log(z)
Would condense to which of the following?
2 3
log
4
log
23
log
1,3,4
log(x21324)

Answer:

1. Right Triangle

2. Right Triangle

3. Not a Right Triangle

4. Not a Right Triangle

Answer:

B

Step-by-step explanation:

V = 4/3 * radius^3 * pi = 4/3 * 4^3 * pi = 256 /3 * pi

Answer:

300in²

Step-by-step explanation:

l= 12

w= 9

h= 2

Substitute into the equation

S= 2(lw+ wh + hl)

S= 2( 12x9 + 9x2+ 12x2)

S= 2( 108+ 18 + 24)

S= 2( 150)

S= 300

Answer: 2 is the answer

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Given

m<P = 4x+12

m<Q = 2x-24

If the sum of P and Q is 180, then;

4x+ 12 + 2x - 24 = 180

4x+2x+12-24 = 180

6x - 12 = 180

6x = 180+12

6x = 192

x = 192/6

x = 32

Hence the value of x is 32

Answer:

4^4 = 16 (we square our radius when finding area)

16 x 3.14(we then multiply the squared radius with pi so we could get the complete area) = 50.24

Now we multiply the area of one circle by the height to get the PRISM'S volume.

50.24(area) x 13(height) = 653.12 cm^3 is your answer.

Answer:

9a) 6 1/5

b) 6 4/7

c) 1 1/0

d) 4 1/8

e) 1 1/3

f) 3 1/6

10a) 15 years old

b) 14 1/6 years old

11) 8/3 = 2 2/3

7/5 = 1 2/5

2 2/3 + 1 2/5 = 4 1/15

12a) They ate 3 11/12 pizzas

b) They ate 1 1/3 more cheese pizzas than veg

Answer:

150 Wh

I guess the question means, how much money is wasted on lighting in a year ?

$0.50

Step-by-step explanation:

3 × 10W × 5 hours = 150 Wh

2 × 10W × 1 hour × 365 × 0.068 / 1000

divided by 1000, because the price is in kWh (1000 Wh), but the rest of the calculation refers to W. so, we need to bring all factors to the same dimension. the division by 1000 either brings the Wh to kWh, or the price to the price for Wh (instead of kWh). it does not matter which one. just one of these 2 things have to happen here, so that all factors have the same dimension.

=> 20 × 365 × 0.068 / 1000 = 7300 × 0.068 / 1000 =

= 7.3 × 0.068 = $0.50 (rounded from 0.4964)

The Rule for reflection over the y-axis is given by (x,y) to (-x,y).

so, J' (-10,-8)

✐----------------------

hope it helps...

have a great day!

Answer:

J' Coordinates = (-5, -8)

Step-by-step explanation:

We know that in the coordinate point J (5, -8);

x-value = 5

y-value = -8

In order to reflect J over the y-axis, we will keep the y-value of the coordinate same and then reverse the x-value to it's opposite, Therefore the J' coordinates would be;

x-value = -5

y-value = -8

J' Coordinates = (-5, -8)

Hope this helps!

Answer:

226

Step-by-step explanation:

Area of rectangle:

x+6=17

x=11

11+6=17

11+3=14

17×14=238

Area of triangle:

[tex] \frac{1}{2} \times b \times h[/tex]

Use phytagoras theorem to find the base of the triangle:

c²=a²+b²

5²=4²+b²

25=16+b²

b²=25-16

b²=9

b=√9

b=3 (only the half)

b=6 (the whole base)

[tex] \frac{1}{2} \times 6 \times 4[/tex]

3×4

12

Shades region:

238-12

=226

Answer:

83.05

Step-by-step explanation:

The two measures of the center are 82.5 and 83.6

The value of the median can be calculated a follows

= 82.5 + 83.6/2

= 166.1/2

= 83.05

Hence the value of the media is 83.05

Answer:

I think you need to combine the equations, which would end with 26x - 2, and to solve for x just isolate it by adding to the other side which would look like 26x = 2

Then divide 26 on both sides, 26x/26 = 2/26

You should end with x = 1/13

Answer:

[tex]x = \frac{12}{ \tan(60 \degree) } \\ x = \frac{12}{ \sqrt{3} } \\ x = 4 \sqrt{3} \: cm[/tex]

[tex]y = \frac{12}{ \sin (60 \degree) } \\ y = \frac{12 \times 2}{ \sqrt{3} } \\ y = \frac{24}{ \sqrt{3} } \\ y = 8 \sqrt{3} \: cm[/tex]

Answer:

x around 53.7

Step-by-step explanation:

We use cosine^-1 to solve for x

In the calculator put in cos^-1 (16/27)

Answer:

b = 2 + sqrt13, 2 - sqrt13

v = 2, - 6

Sorry if you need to show work it's really hard to type it out since I don't have the symbols

Answer:

$4.50x = $127.50 - $87

x = $40.50 / $4.50

x = 9

Step-by-step explanation:

The amount she can spend on bracelets is the total amount she wants to spend less the cost of the shirt

$4.50x = $127.50 - $87

4.50x = 40.50

divide bot side by 4.5

x = 9

Answer: Should be 14

Step-by-step explanation:

Answer:

Step-by-step explanation:

I have the same question :(((

Answer:

circumference of the circle=2πr

=2×3.14×17

=106.76cm

Answer:

3/36

Step-by-step explanation:

Answer:

Each piece is 1.12 meters long

Step-by-step explanation:

7 equal pieces = divide x by 7

equation: 7.84 / 7

Answer:

[tex](a-b)^3 = a^3 - b^3 - 3a^2b + 3ab^2\\\\a = 3x, \ b = 1\\\\(3x-1)^3 = (3x)^3 - (1)^3 - 3(3x)^2(1) + 3(3x)(1)^2\\\\[/tex]

             [tex]= 27x^3 - 1-3(9x^2)+ 9x\\\\=27x^3 -27x^2 +9x -1[/tex]

The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.

We have,

To expand the function f(x) = (3x - 1)³, we can use the binomial expansion formula, which states:

(a + b)³ = a³ + 3a²b + 3ab² + b³

In this case,

a = 3x and b = -1.

Substituting these values into the formula, we get:

[tex](3x - 1)^3 = (3x)^3 + 3(3x)^2(-1) + 3(3x)(-1)^2 + (-1)^3[/tex]

Simplifying further:

(3x - 1)³ = 27x³ - 9x³ + 9x - 1

Therefore,

The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.

Learn more about functions here:

https://brainly.com/question/28533782

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Answer:

36 computadores deben ser reparados.

Step-by-step explanation:

Dado que en una oficina hay 96 computadores en total, y la razón entre los computadores que deben ser reparados y aquellos que se encuentran operativos es 3:5, para determinar cuántos computadores de la oficina deben ser reparados en total se debe realizar el siguiente cálculo:

(96 / (3+5)) x 3 = computadores que deben ser reparados

(96 / 8) x 3 = computadores que deben ser reparados

12 x 3 = computadores que deben ser reparados

36 = X

Por lo tanto, 36 computadores deben ser reparados.

Answer:

y= −3/4x + 1

x= -4/3y + 4/3

Step-by-step explanation:

Let's solve for y.

3x+4y=4

Step 1: Add -3x to both sides.

3x+4y+−3x=4+−3x

4y=−3x+4

Step 2: Divide both sides by 4.

4y4=−3x+44

y=−34x+1

___________

Let's solve for x.

3x+4y=4

Step 1: Add -4y to both sides.

3x+4y+−4y=4+−4y

3x=−4y+4

Step 2: Divide both sides by 3.

3x3=−4y+43

x= -4/3y + 4/3

math papa algebra caculator, thank me later

Answer:

first is 2 second is 3

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

The water tank in the school hold 20 liters of water

One day it was 34 liters full

14 liters of water was used up

Therefore the quantity of water left can be calculated as follows

= 34-14

= 20

Hence 20 liters of water remains in the tank

The probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability that the Yankees will win a game P(win) = 0.6

The probability that the Yankees will score 5 or more runs in a game is:

P(s>5) = 0.57

The probability that the Yankees lose and score fewer than 5 runs is:

P(s<5) = 0.34

To find the probability that the Yankees would score fewer than 5 runs when they win the game:

This is the case of probabilities of one event and another event together we will multiply the respective probabilities of the event:

= P(win)×P(s<5)

= 0.6×0.34

= 0.204

Thus, the probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6

Learn more about the probability here:

brainly.com/question/11234923