Which are equivalent expressions?
Check all that are true.

2a · 2b = 2ab

6a = 6 · a

5a = 5 + a

3ab = 3c

2a · b = 2ab

Answer:

Hello your question is incomplete attached below is the complete question

a) attached below

b ) Vectors a1 and a2 are linearly independent  and this is because they are a scalar multiple of each other

c)  There are 3 equations and 4 unknown hence for any t value there will be a solution

Step-by-step explanation:

A) attached below

b) Vectors a1 and a2 are linearly independent  and this is because they are a scalar multiple of each other

C) there are 3 equations and 4 unknown hence for any t value there will be a solution

Answer:

A- 0.68

Step-by-step explanation:

0.58 is most likely to be the population parameter, since the sample proportions center around this value.

Option B is the correct answer.

We have,

When many large samples are taken from a population, the sample proportions should converge to the population proportion.

If the sample proportions center around a certain value, that value is likely to be a good estimate of the population proportion.

In this case,

Since the sample proportions center around 0.58, it is likely that the population proportion is also around 0.58.

Therefore,

0.58 is the most likely population parameter.

Learn more about population parameters here:

https://brainly.com/question/30689789

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9514 1404 393

Answer:

  2.930

Step-by-step explanation:

The applicable rule of logarithms is ...

  log(a^b) = b·log(a)

___

Here, this means ...

  [tex]\log_3(25)=\log_3(5^2)=2\cdot\log_3(5)=2\cdot1.465\\\\\boxed{\log_3(25)=2.930}[/tex]

Answer:

40

Step-by-step explanation:

(120 - 40)/2 = 80/2 = 40

9514 1404 393

Answer:

  J Compound interest; $298.65

Step-by-step explanation:

Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.

For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...

  1.051^4 = 1.22024337

and the effective multiplier for simple interest is ...

  1 +0.051·4 = 1.204

Then the difference in interest rate multiplier for the 4-year period is ...

  1.22024337 -1.204 = 0.01614337

That fraction of the $18500 principal is $298.65.

Compound interest earns $298.65 more than simple interest in this scenario.

Answer:

B

Step-by-step explanation:

I plugged it into a graphing calculator but if you use "rise over run" you'll get your answer without a phone

Solution :

Cost of carpeting per square yard = $ 15.00

For 3 ft by 6 ft

1 yard = 3 feet

∴ 1 feet =  [tex]$\frac{1}{3}$[/tex] yard

So,

Therefore, area of 3 ft by 6 ft is = [tex]$3 \times \frac{1}{3} \times 6 \times \frac{1}{3} $[/tex]

                                                    = 1 x 2

                                                    = 2 square yard

Therefore, cost of carpeting 2 square yard = 2 x 15

                                                                       = $ 30

For 9 ft by 12 ft

1 yard = 3 feet

∴ 1 feet =  [tex]$\frac{1}{3}$[/tex] yard

So,

Therefore, area of 9 ft by 12 ft is = [tex]$9 \times \frac{1}{3} \times 12 \times \frac{1}{3} $[/tex]

                                                    = 3 x 4

                                                    = 12 square yard

Therefore, cost of carpeting 2 square yard = 12 x 15

                                                                       = $ 180

Answer:

the median is 17  the mode is 19

Step-by-step explanation:

17 is in the middle with 6 on each side so it is the median

19 occurs most often so it is the mode

Given:

The given expression is:

[tex]\dfrac{3.6\times 10^7}{7.2\times 10^7}[/tex]

To find:

The value of the quotient.

Solution:

We have,

[tex]\dfrac{3.6\times 10^7}{7.2\times 10^7}[/tex]

It can written as:

[tex]=\dfrac{3.6}{7.2}\times \dfrac{10^7}{10^7}[/tex]

[tex]=\dfrac{1}{2}\times 1[/tex]

[tex]=0.5[/tex]

It can be rewritten as:

[tex]=5\times \dfrac{1}{10}[/tex]

[tex]=5\times 10^{-1}[/tex]

Therefore, the value of the quotient is [tex]5\times 10^{-1}[/tex].

Answer:

I think -2g+5

Step-by-step explanation:

its distributive property and adding... hope this helped

Answer:

Step-by-step explanation:

1/12 = 0.0833

-1 = 0.000

Answer:

x > 0

y > 0

Step-by-step explanation:

The first quadrant is the quadrant formed by the positive x-axis and the positive y-axis.

And we know that all the elements in this quadrant are larger than zero.

Then, a point (x, y) is on the first quadrant only if:

x > 0

y > 0

Note that we ignore the points with x = 0 or y = 0, this is because these points are shared between quadrants, and these points are not defined as belonging to any quadrant.

Should be D. if I'm correct. This pair of angles doesn't seem to be in the right position to form a 90 degree or a 180 degree angle, ruling out supplementary and complementary angles, and they definitely aren't vertical angles, leaving only choice D: None of the above.

Answer:

The ball is in the air for about 5.873 seconds.

Step-by-step explanation:

The function:

[tex]f(x)=-5x^2+20x+55[/tex]

Models the height of a ball x seconds after it is thrown in the air.

And we want to find the total time the ball is in the air.

So, we can simply find the time x at which the ball lands. If it lands, its height f above the ground will be 0. Thus:

[tex]0=-5x^2+20x+55[/tex]

We will solve for x. Dividing both sides by -5 yields:

[tex]0=x^2-4x-11[/tex]

The equation is unfactorable, so we can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 1, b = -4, and c = -11. So:

[tex]\displaystyle x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-11)}}{2(1)}[/tex]

Evaluate:

[tex]\displaystyle\begin{aligned} x&=\frac{4\pm\sqrt{16+44}}{2}\\&=\frac{4\pm\sqrt{60}}{2}\\&=\frac{4\pm2\sqrt{15}}{2}\\&=2\pm\sqrt{15}\end{aligned}[/tex]

Approximate:

[tex]x_1=2+\sqrt{15}\approx5.873\text{ or } x_2=2-\sqrt{15}\approx-1.873[/tex]

Since time cannot be negative, our only solution is the first choice.

So, the ball is in the air for about 5.873 seconds.

Answer:

I think it is B

hope this helps

Answer:

1/20

Step-by-step explanation:

Simple probability is found by counting all the results which fit requirements and dividing by all possible results.

To find probability of two results in a row, multiply chance of first result by chance of second result.

Since you are replacing the marble before the second draw, we don’t have to figure out the various changes in odds for the different possible first draws. It’s just that simple.

There are 5 black marbles

There are 4 red marbles

There are always 20 marbles in all

5/20*4/20=1/4*1/5=1/20

By coincidence, the same as the chance of drawing the white marble in one draw.

Step-by-step explanation:

Since, The formula of Pythagoras is A² + B² + C²

(therefore)* let A be 8 mm

B be 6 mm

Therefore, 8² + 6² = 64 + 36

= 100

= 10( after squaring it )

Hope it helps,if it is correct like and mark me.

Answer:

with?

Step-by-step explanation:

...............................................

Answer:

cos 29 = x / 11

11 * cos 29 = x

x =  11 * 0.87462

x = 9.62082

Step-by-step explanation:

Step-by-step explanation:

flw me. plzzzzzzzzzzzzzzzzzz

Answer:

um.... ok, thanks 4 tho points tho..

Step-by-step explanation:

Answer:1, 2, 3, 5, 6, 10, 15, 30.

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

there ARE ONLY TWO GENDERS

THE dog can be male or female =

sum genders = 2

probability of been a male = 1/2

Answer:

Each age of the triplets should be 8 years old.

Step-by-step explanation:

38-14=24

24 divided by 3 = 8

Answer:

Triplets are 8 not sure on the equation but I think its y = 8x + 38.

Step-by-step explanation:

I'm assuming that all their ages together equal 38 therefore I would take,

38 - 14 = 24; this means that the triplets ages added together equal 24. Since triplets means 3 I will take,

24 dived 3 = 8.

I check my work by doing 14 + 8 + 8 + 8 = 38.

you asked for an equation I'm sure what you mean but I can try; I'm putting it into slope intercept form.

y = 8x + 38

Answer:

y = 3/4x - 13

Step-by-step explanation:

As we already know the slope, we just need to find the y-intercept.

y = 3/4x +b

-7 = 3/4(8) + b

-7 = 6 + b

-13 = b

y = 3/4x - 13

Answer: 1 11/12 hours

Step-by-step explanation:

Since visitors spend 1/3 of their time waiting in line for rides and the Santos family spends 5¾hours at the park.

The tune spent waiting in line will be calculated by multiplying ⅓ by 5¾. This will be:

= ⅓ × 5¾

= ⅓ × 23/4

= 23/12

= 1 11/12 hours

Therefore, they'll wait in the park for 1 11/12 hours

Answer:

Number 19 is A

Number 18 is C

Number 17 is D

Step-by-step explanation: