there can be more than one answer

There Can Be More Than One Answer

Answers

Answer 1

The spring constant is 30 N/m and the stretch when the 420 N force is applied is 14 cm.

What is spring force?

The force needed or applied to compress or extend a spring on any attached object is known as the spring force.

A spring exerts an equal and opposite force on an object when the object exerts a force on it. It always takes action to get mass back to where it should be for equilibrium. 

Given that when 180 N force is applied the spring stretched by 6 cm. The spring stretch when the 420 N force is applied is calculated as,

First, calculate the spring constant,

F = kx

180 = k x 6

k = 30 N / m

Calculate the deformation,

x = F / k

x = 420 / 30

x = 14 cm

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Related Questions

If police and fire are already on an accident scene, how many feet away should you park your ambulance

Answers

It is recommended that when an ambulance arrives at an accident scene, it should park a safe distance away from the scene, at least 500 feet away.

This is to ensure the safety of the paramedics and other emergency responders, as well as to ensure that the ambulance does not impede the movement of other emergency vehicles. Additionally, it is also to protect the privacy of the individuals involved in the accident and ensure that the scene is not tampered with.

It is also important to follow any additional instructions given by the police or fire department at the scene, as they may have specific parking instructions based on the situation.

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Solve the inequality x + 2 1/2 > -1/2. Graph the solution set on a number line.show your work.

Answers

Answer:

x > - 3

Step-by-step explanation:

x + 2[tex]\frac{1}{2}[/tex] > - [tex]\frac{1}{2}[/tex]      First turn 2[tex]\frac{1}{2}[/tex] into an fraction since its easier. So it becomes [tex]\frac{5}{2}[/tex]

x + [tex]\frac{5}{2}[/tex] > - [tex]\frac{1}{2}[/tex]

  - [tex]\frac{5}{2}[/tex]     - [tex]\frac{5}{2}[/tex]         Do inverse operations, so subtract [tex]\frac{5}{2}[/tex] from both sides.

    x > - [tex]\frac{6}{2}[/tex]          Combine  - [tex]\frac{5}{2}[/tex] with - [tex]\frac{1}{2}[/tex], which gives us - [tex]\frac{6}{2}[/tex]

    x > - 3          Since we know that 6 divided by 2 is 3.

This would not allow me to attach an image so I am going to type a visual representation f what the graph would look like below)

<-------------O--------------------------------------------------->

-5    -4     -3      -2       -1     0     1     2    3    4     5

So, the number line would be a solid line rather than dashed (but I was not able to attach an image so I kind of had to improvise). When using ≥ ≤ sings the circle of the point is closed. When using < and > signs, the circle of the point is open. Thus, in this scenario since he sign is >, then the circle of the point is open. The direction of the arrow and ray for this equality is going to the right because the answer is that x is greater than - 3, Therefore any values greater than - 3 are a possibility which is why the arrow goes on indefinitely.

 

How do you know if 3 measures can make a triangle?

Answers

To determine if three measures can make a triangle, use the Triangle Inequality Theorem. This theorem states that the sum of any two sides of a triangle must be greater than the measure of the third side.

for example

side 1 = 6

side 2 = 8

side 3 = 10

6 + 8 = 14 > 10,

therefore the three sides can make a triangle.

1. Gather the three measures of the triangle.

2. Add the two smallest side lengths together.

3. Compare the sum of the two smallest sides to the longest side.

4. If the sum of the two smallest sides is greater than the longest side, then the three measures can make a triangle.

5. If the sum of the two smallest sides is not greater than the longest side, then the three measures cannot make a triangle.

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Suppose the population of a small town is 567 in 2011. The population decreases at a rate of 1.5% every year. What will be the population of the town in 2020?

Answers

Answer: 495 people

Step-by-step explanation:

As this involves the population in a future year, you can use the future value model for this:

= Population * ( 1 + rate of increase) ^ number of years

Number of years = 2020 - 2011

= 9 years

Rate of increase will be negative to show that it is a decrease.

= 567 * ( 1 - 1.5%) ⁹

= 494.9

= 495 people

If 7 is an element in the domain of ​f(x)= 6x-18/2, what is the corresponding element in the​ range?

Answers

The corresponding element in the range when 7 is an element  in the domain is f(7)=33

Step-by-step explanation:

Given that the 7 is an element in the domain of f(x)

The function f is defined by f(x)=6x-18/2

To find the corresponding element in the range:

That is put x=7 in the given function f(x)

Therefore f(x) becomes

f(7) = 6(7)-18/2

      =42-18/2

      =42-9

      =33

Therefore corresponding element in the range when 7 is an element  in the domain is f(7)=33

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(-2) (-3) less greater than equal than 8- (-2)

Answers

The true statement is 6 less than 10

How to determine the true statement

From the question, we have the following parameters that can be used in our computation:

(-2) (-3) less greater than equal than 8- (-2)

We start by evaluating each expression

So, we have the following representation

(-2) (-3) = 6

8- (-2) = 10

Substitute the known values in the above equation, so, we have the following representation

6 less greater than equal than 10

6 is less than 10

So, we have

6 less than 10

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Find the fraction which is mid-way between the two fractions given: 3/8 and
11/24

Answers

Answer:

5/12

Step-by-step explanation:

Add both fractions and divide by 2 to find the one right in between.

3/8+11/24=5/6

then divide by two

(5/6)/2=5/12

=5/12

Which set of angle measures can be the angle measures of a triangle?
A. 90°, 45°,46°
B. 10°,10°,160°
C. 28°,12°,120°
Please help if you can..

Answers

Answer:

B. 10°, 10°, 160°

Step-by-step explanation:

The rule with triangles is that the angles combined may only ever add to 180°

So, lets add to be sure.

A. 90° + 45° + 46° = 181°

B. 10° + 10° + 160° = 180°

C. 28° + 12° + 120° = 160°

Therefore, option B

The measures of the three angles of a triangle are in the ratio of 1:2:2. Find their measures.

Answers

Answer:

36°, 72°, and 72°

Step-by-step explanation:

The interior angles of a triangle will always add to 180°.

Let's say the smallest angle is x, then the other two angles are both 2x.

x+2x+2x=180

5x=180

x=36

If our angles are x, 2x, and 2x, and we know x is 36, then the answer is:

36°, (2*36)°, and (2*36)°, which equals

36°, 72°, and 72°

Check: 36+72+72=180

An indirect proof is an argument that begins with the assumption that a conclusion is false, then uses logical reasoning to show that the assumption leads to a _____.

Answers

An indirect proof is an argument that begins with the assumption that a conclusion is false, then uses logical reasoning to show that the assumption leads to a contradiction.

What does the phrase "in contradiction" mean?

a fact or assertion that contradicts what someone else said or that differs from another fact or assertion to the point where one of them must be incorrect.

What is an illustration of contradiction?

A situation or set of ideas that contradict one another is called a contradiction. A contradiction would be saying out loud that you support the environment while never remembering to empty the recycling. A statement that contains opposing ideas is frequently referred to as a "contradiction in terms."

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Ana and Darryl answered 80 calls. Ana answered 4 times as many as Darryl. How many calls did ana answer

Answers

There were 64 calls that Anna answered in this algebra question,

What is Answered calls?

Total engaged calls, another name for answered calls, is a measurement of all incoming calls that were handled by an agent during regular business hours.

Solution:

If Ana answers more calls than Darryl does, then let D be the number of calls Darryl Answered.

A + D = 80

A = 4D

4D + D = 80

5D = 80

D = 80 / 5

    = 16

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According to the algebra, Ana answered 16 calls,

What is algebra, exactly?

The area of mathematics known as algebra is used to represent situations or problems using mathematical expressions. In algebra, we use numbers with fixed or definite values, such as 2, 7, 0.068, etc. In algebra, we combine numbers with variables like x, y, and z.

Solution:

Let D be the number of calls Darryl answered if Ana answers more calls than he does.

A + D = 80

A = 4D

4D + D = 80

5D = 80

D = 80 / 5

   = 16

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Which fraction is equivalent to 1/2? Use the number line to help answer the question

Answers

Answer:

4/8

Step-by-step explanation:

10% of 84 is what number?

Answers

Answer:

8.4 is 10% of 100

Step-by-step explanation:

84 is 100%

x is 10 %

x= 84*10/100= 8.4

Find two numbers if thier sum is -11 and there difference is 41. PLS HELP ME

Answers

Answer:

x = 15

y = -26

Step-by-step explanation:

x + y = -11

x - y = 41

let x = 41 + y

substitute:

41 + y + y = -11

2y = -52

y = -26

x -26 = -11

x = 15

Find the sum between (-x + 7y + 2z) and (4x – 9y).

Answers

Answer:

3x-2y+2z

Step-by-step explanation:

-4x2+37xy-67y2..... photo

What is the SURFACE AREA

Answers

Answer:

184cm

Step-by-step explanation:

to find the area of the triandles

4 times (half of 6 ) 3 = 12 divided by 2 = 6 + 6 ( because there are two right triangles making up one side ) so one side is 12cm add the other side 12 +12 = 24cm

To find the left and right sides mutipy length times width 10 x 5 = 50 add the oher side 50 + 50 = 100

To fide the bottom rectangle do the same thing but 10 x 6 = 60

so add everything together 24+100+60 = 184cm

The surface area is 184 cm

In which of the following intervals does the trigonometric inequality sec(x)

Answers

The Trigonometric inequality Sec (x)< cot(x) will hold true in π/2 < x < π.

How can a trigonometric inequality be expressed?

The intervals where the trigonometric inequality sec (x) cot (x) always holds true are what we are looking for.

This can also be expressed as: 1/cos (x) < 1/tan (x)

Now, this is only possible in the fourth quadrant, where cos x is positive and tan (x) is negative, where: π/2 < x < π.

The values for sin, cos, and tan are all positive in the first quadrant.

Only positive values for sin are present in the second quadrant.

The tan values in the third quadrant are all positive.

Only positive values for cos are present in the fourth quadrant.

Therefore the inequality Sec(x) < cot(x) will hold true in π/2 < x < π.

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Please help me solve this problem. I attached a pic of it.

Answers

Answer:

Surveying every 5th customer that enters the yogurt shop

Step-by-step explanation:

If the m<1 = 17x - 30, and the <2 = 7x + 18, what is the value of x?

Answers

Answer:

X=8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

17x−30+7x+18=180

17x+−30+7x+18=180

(17x+7x)+(−30+18)=180(Combine Like Terms)

24x+−12=180

24x−12=180

Step 2: Add 12 to both sides.

24x−12+12=180+12

24x=192

Step 3: Divide both sides by 24.

X=8

Find the Circumference of the circle. Leave your answer in terms of TT
Formula: C = 2

Plsss help nowww

Answers

Answer:

C = 18π m

Step-by-step explanation:

The circumference (C) of the circle is calculated as

C = 2πr ( r is the radius ) , then

C = 2π × 9 = 18π

Number 9 is very confusing for me

Answers

2
Answer x= -
7
Hope this helped pls give Brainlyist

Answer:

The value of x is 2/7 or 0.285

Step-by-step explanation:

Here, we will make equivalent expressions in the equation that all have equal bases.

6²⁽⁶ˣ⁻¹⁾ = 6⁵ˣ

Since, The bases are the same i.e., 6. So, exponent are also same

2(6x - 1) = 5x

Solve for x

12x - 2 = 5x

12x - 5x - 2 + 2 = 5x - 5x + 2

7x = 2

7x/7 = 2/7

x = 2/7 = 0.285

Thus, The value of x is 2/7 or 0.285

For verification

36⁶ˣ⁻¹ = 6⁵ˣ

36⁶⁽⁰°²⁸⁵⁾ ⁻ ¹ = 6⁵⁽⁰°²⁸⁵⁾

36¹°⁷¹ ⁻ ¹ = 6¹°⁴²⁵

36⁰°⁷¹ = 6¹°⁴²⁵

12.7 = 12.7

Hence, L.H.S = R.H.S

VERIFIED!!

Can you help me with this

Answers

The slope of the line is 1/2

compared to the cost of each share in 1960.
Company
1960 Cost
2010 Cost
Company A
​$0.65
​$9.75
Company B
​$0.25
​$3.80
Company C
​$0.45
​$3.78
The cost of each share of stock in Company A was nothing times as much in 2010.
​(Type an integer or a​ decimal.)

Answers

Answer:

iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explajyhgftdcsesdxqadfadrfswfeedfrsdx:

Can someone help me with this problem?
I will mark the person brainliest who answers with an actual correct answer
Please help!!!
Due soon!!
Answer choices are below:
A. Dilate rectangle ABCD with a scale factor of 1/2 about the origin, followed by a translation 5 units down and 7 units left.

B. Dilate rectangle ABCD with a scale factor of 2 about the origin, followed by a 180° rotation counterclockwise about the origin.

C. Dilate rectangle ABCD with a scale factor of 1/2 about the origin, followed by a 180° rotation counterclockwise about the origin.

D. Dilate rectangle ABCD with a scale factor of 2 about the origin, followed by a translation 5 units down and 7 units left.

Answers

Answer is C) Dilate rectangle ABCD with a SF of 1/2 followed by a 180 degree rotation about the origin.

By dividing the sides of rectangle ABCD by the scale factor 1/2, the rectangle becomes the same size as rectangle A'B'C'D'.

Rotating rectangle ABCD by 180 degrees around the origin transforms the rectangle onto rectangle A'B'C'D.

dont even know where to start

Answers

Answer:

[tex] \displaystyle M = ( 3,1 )[/tex]

Step-by-step explanation:

we are given the endpoint i.e P and Q of a line segment

we want to figure out the Midpoint of the Line segment

in order to do so we can use Midpoint formula given by

[tex] \displaystyle M = \bigg( \frac{ x_{1} + x_{2} }{2} , \frac{ y_{1} + y_{2}}{2} \bigg)[/tex]

so let

[tex]x_1=-2\\x_2=8\\y_1=-2\\y_2=4[/tex]

substitute

[tex] \displaystyle M = \bigg( \frac{ - 2 + 8}{2} , \frac{ - 2 + 4}{2} \bigg)[/tex]

simplify addition:

[tex] \displaystyle M = \bigg( \frac{ 6}{2} , \frac{ 2}{2} \bigg)[/tex]

simplify division:

[tex] \displaystyle M = ( 3,1 )[/tex]

hence,

the Midpoint of the line segment is (3,1)

Anybody know the answer to this? this is due very soon :(

Answers

Answer:

Step-by-step explanation:

7,80

Ok last one! I tried everything im completely lost! Need help one more time.

Answers

Answer:

33 degrees

Step-by-step explanation:
Angle 1 and 2 add up to a right angle which is 90 degrees. To find 2, subtract 57 from 90


90-57=33


Therefore 33 degrees is the answer


Please mark me the brainliest

Find the volume of a right circular cone that has a height of 3.9 in and a base with a radius of 14.3 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer:

[tex]volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times 3.14 \times {(14.3)}^{2} \times 3.9 \\ = 834.73 \: cubic \: in[/tex]

Answer:835.2

Step-by-step explanation:

6. Jane put a fence around her square backyard. She used 112 feet of material in total. What is
one side length of her backyard?"

Answers

Answer:

28 ft

Step-by-step explanation:

112 ft / 4 sides (since it is a square background)

112/4 = 28 ft/side length.

£99 is shared in the ratio 6 : 5

What is the larger share?

Answers

Answer:

54

Step-by-step explanation:

6x + 5x = 99

11x = 99

x=99/11

x=9

6x = 6x9 = 54

5x = 5x9 = 45

ans: 54

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