The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached the
spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?​

Answer:

a = √(b+ 6)

a² = b + 6 (Square both sides)

b = a² - 6 (subtract 6 from both sides)

Answer:

b = a^2 - 6

Step-by-step explanation:

a = sqrt(b+6)

Find the square of both sides

a^2 = (b+6). Open brackets

a^2 = b+6

Subtract 6 from both sides

a^2 - 6 = b + 6 -6

b = a^2 - 6

Answer:

answer is 0.33333333

Step-by-step explanation:

Answer:

0.33333333333

Step-by-step explanation:

My calculator gave me 1/3 but the real answer is 0.333 etc

different calculators give you different answers

Answer:

3c + 3

hope this helps.

Answer:

3c + 3

and

2c  + c + 3

Answer:

5,000,000 cm

Step-by-step explanation:

1 km=100000cm

we just multiply 50km x 100000,which we get 5 million cm

Answer:

5 000 000 cm

Step-by-step explanation:

1km = 1000 m (meter)

1m = 100 cm

then

1km = 1000×100 cm

      = 100 000

then

50km = 50×100 000

          = 5 000 000

12^2 + 9^2 = x^2

144 + 81 = x^2

225 = x^2

√225 = √x^2

x = 15

Answer:

V = 80√3 cm³

Step-by-step explanation:

V = Ab×h/3

Ab = l²√3/4 = 64√3/4 = 16√3 cm²

V = 16√3cm²×15cm/3

= 16√3cm²×5cm

= 80√3 cm³

Answer:

138.56cm2

Step-by-step explanation:

B.a×hx1/3

B.a=1/2×8×8sin60=27.71cm2

1/3×27.71×15=138.56cm2

Answer:

1 : 80

Step-by-step explanation:

So you want to check Length of model : Length of real boat

50 cm : 40 m

But since the units don't match, make 40 m into 4000 cm

50 cm : 4000 cm

Divide both sides by 50 and you get

1 : 80

Answer:

the answer is D

Step-by-step explanation:

Answer:

ΔEFG is an isosceles triangle

Step-by-step explanation:

Answer:

2184 ways

Step-by-step explanation:

We need to choose exactly one song from each CD, so the number of possible ways to choose a song from a CD is the number of songs in that CD.

The first song is from a CD with 12 songs, so there are 12 possibilities of choosing a song.

The second song is from a CD with 14 songs, so there are 14 possibilities of choosing a song.

The third song is from a CD with 13 songs, so there are 13 possibilities of choosing a song.

Now, to find the number of possible ways to play these songs, we just need to multiply the number of possibilities for each song:

Number of possible ways = 12 * 14 * 13 = 2184 ways

Step-by-step explanation:

I think A

I hope it will help

Answer: The length is 18 feet.

Step-by-step explanation:

4 * 9 * l = 648   where l is the length in feet.

36 * l = 648

36l = 648

l = 18

Answer:

Area= 16

Perimeter= 16

Answer:

A = l*w

P = 2l + 2w

A = 4*4 = 16

A = area

l = length

l = 4

w = width

w = 4

The area is equal to 16.

P = 2*4 + 2*4 = 16

P = perimeter

2l = 2*length

2l = 2*4

2w = 2*width

2w = 2*4

The perimeter is equal to 16.

It can be concluded both are equal to each other.

Hope this helps

Answer:

The last one

Step-by-step explanation:

Since we already know an angle and a safe are equal we just need one more pair of corresponding angles

Answer:

the fourth one.

Step-by-step explanation:

that is angle vut is greater than or equal to angle ktu or angle utv is greater than or equal to angle tuk.

Answer:

B. She got the sign of the slope wrong.

Step-by-step explanation:

This is the correct answer for edge

Answer:

B

Step-by-step explanation:

She got the sign of the slope wrong.

Answer:

The discriminant of f is 92, and it has no real zeros

Step-by-step explanation:

The discriminant of a quadratic is [tex]b^2-4ac[/tex], where the quadratic is in the form [tex]ax^2+bx+c[/tex]. The discriminant of this one is therefore:

[tex]2^2-4(4)(6)=4-96=-92[/tex]

Since the square root of a negative number is imaginary, this quadratic has no real number zeros. Hope this helps!

Answer:

24x

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

I did the edu test hope this helps♡

[tex]answer \\ b = 15 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

The measure of angle b is 15 degrees and this can be determined by using the properties of the isosceles triangle.

Given :

The following steps can be used in order to determine the measure of angle b:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

[tex]\angle Q + \angle P + \angle R = 180[/tex]

[tex]\angle Q + 2\angle R = 180[/tex]

[tex]2\angle R = 180-60[/tex]

[tex]\angle R = 60^\circ[/tex]

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

[tex]\angle P + \angle S + \angle R = 180[/tex]

[tex]\angle S + 2\angle R = 180[/tex]

[tex]2\angle R = 180-90[/tex]

[tex]\angle R = 45^\circ[/tex]

Step 4 - Now, the measure of angle b is calculated as:

[tex]\angle b = 60-45[/tex]

[tex]\angle b = 15^\circ[/tex]

The measure of angle b is 15 degrees.

For more information, refer to the link given below:

https://brainly.com/question/7915845

The decimal value is 0.85 which can be used as the multiplier to find the new cost of the shoes if the pair of shoes is going to be discounted by 15%,

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have:

If a pair of shoes is going to be discounted by 15%

Let's suppose the original cost is 100%

It has a discount of 15%

So the new cost of the shoes = 100 - 15 = 85%

To convert it to decimal divide it by 100

= 85/100

= 0.85

Thus, the decimal value is 0.85 which can be used as the multiplier to find the new cost of the shoes if the pair of shoes is going to be discounted by 15%,

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

Answer:

a = 21

Step-by-step explanation:

If x = h is a zero of a polynomial then f(h) = 0, thus

p(- [tex]\frac{1}{3}[/tex] ) = 27( - [tex]\frac{1}{3}[/tex] )³ - a(- [tex]\frac{1}{3}[/tex] ) - (- [tex]\frac{1}{3}[/tex] ) + 3 = 0, that is

27 (- [tex]\frac{1}{27}[/tex] ) - [tex]\frac{1}{9}[/tex] a + [tex]\frac{1}{3}[/tex] + 3 = 0

- 1 - [tex]\frac{1}{9}[/tex] a + [tex]\frac{10}{3}[/tex] = 0 ( multiply through by 9 to clear the fractions )

- 9 - a + 30 = 0

- a + 21 = 0 ( subtract 21 from both sides )

- a = - 21 ( multiply both sides by - 1 )

a = 21

Answer:

28 days

Step-by-step explanation:

because the frog climbs 3m in the day, but falls 2m at night, it technically climbs 1m every 24 hours. this means after the 1st day, it will have climbed a total of 1m, on the second, it will have climbed a total of 2m, and so on. however, when it gets nearer to the top, that's when things start to change. after the 26th day, it will have climbed 26m. on the 27th day, it will be 27m, but then when it jumps 3m the next day, it will reach 30m total before it falls during the night and it will be able to get out of the hole.

i hope this helps! :)

Answer:

The slope is -1.5x and the y-intercept is -3

Step-by-step explanation:

First person to give me Brainliest wins the official contest!!! Hurry!

Answer:

35°

Step-by-step explanation:

ABC is a equilateral triangle and that means all of its

interior angles have the same measure and = 60°

since angle ACB is 60° the complementary of it would be 120° this is alsıo the measure of angle ACD

The measure of angle CAD is given as 25°

The measure of sum of interior angles in a triangle is equal to 180°

So the missing angle ADC is 35°

Answer:

x = 32

y = 16

Step-by-step explanation:

As can be seen in the picture (replace x by z), if the long side length is z√3, the other sides are 2z and z, respectively. (Using z to avoid confusion with your pic).

So z = 16, so x=2z=32, y=x=16

Answer:

2.61

Step-by-step explanation:

To find the amount of space between the two points, subtract -2.61 from 0.

0 - (-2.61)       Distribute the negative

0 + 2.61          Add

2.61

Answer:

The legnth of side AB would be 3 units

Step-by-step explanation:

First, you would determine that both point A and point B would have the same y-coordinate of 1.   Then you would determine the difference between the x values of points A and B.  Since 5 (the x-value for B) minus 2 (the x-value for A) is 3, the legnth of side AB would be 3 units.

Step-by-step explanation:

I recommend using Desmos to quickly graph things (it's much faster than doing it yourself, I use it often. You can graph points and everything).

The picture ends up looking like the attachment I have below.

This is now a simple subtraction.

A is at 2 on the x-axis and B is at 5.

5-2=3

Answer:

3 units

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Answer:

If he got 9 out of 15 correct, he got 6 problems incorrect.

6/15 is incorrect

6/15 × 100

40 % is your answer

Answer:

40% are incorrect

Step-by-step explanation:

If 9 are correct then 15-9 = 6

6 are incorrect

6/15 = 2/5

Change to a percent

2/5 *20/20 = 40/100

Percent means out of 100

40% are incorrect

Answer:

8

Step-by-step explanation:

sin 30° = 1/2

sin is opponent/hypotenuse

so

opp/hyp = 4/x = 1/2

x = 4 * 2 = 8

Answer:

[tex]\displaystyle x=8[/tex]

Step-by-step explanation:

[tex]\displaystyle x=\frac{sin(90) \times 4 }{sin(30)}[/tex]

[tex]\displaystyle x=8[/tex]

Answer:

0

Step-by-step explanation:

(f-g)(x) = 12-sqrt(x)

plugging in 144, we get 12 - 12 = 0

one could also do f(x)-g(x) which would yield 24-24=0