Force: F = MA; Solve for m.

Answers

Answer 1

mass = force / area

this is second law of motion ( Newton's 2nd law)

Answer 2

[tex]\longrightarrow{\blue{ m = \frac{F}{a} }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Explanation}}{\red{:}}}}}[/tex]

F = ma

➺ m = [tex]\frac{F}{a} [/tex]

where,

F = Force

m = mass

a = acceleration

"F = ma" is Newton's second law of motion, which states that force is equal to mass times acceleration.

The SI unit of force is newton, symbol N.

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]


Related Questions

1.3.33 Question Help A certain triangle has a perimeter of 3078 mi. The shortest side measures 71 mi less than the middle side, and the longest side measures 371 mi more than the middle side. Find the lengths of the three sides. The shortest side is mi long.​

Answers

Answer:

the shortest side is 855 miles long.

Step-by-step explanation:

a + b + c = 3078 miles

a = b - 71

c = b + 371

=>

(b-71) + b + (b+371) = 3078

3b + 300 = 3078

3b = 2778

b = 926 miles

a = 926 - 71 = 855 miles

c = 926 + 371 = 1297 miles

1. My number has two digits
2. I am greater than 30
3. I am less than 90
4. My second digit is greater than 3
5. My first digit is divisible by 2
6. Both of my digits add up to either 11 or 12
7. I am the smallest number of
the four numbers that are left.

Answers

Answer:

47

Step-by-step explanation:

1. #2 and #3 reveal that it must be between 31 to 89

2. #4 and #5 reveals that the answer is one of these numbers:

44, 45, 46, 47, 48, 49

64, 65, 66, 67, 68, 69

84, 85, 86, 87, 88, 89

This is because only 4, 6, and 8 are divisible by 2

3. You must add up all the numbers to see which ones add up to either 11 or 12.

4 + 7 = 11

4 + 8 = 12

6 + 5 = 11

6 + 6 = 12

8 + 4 = 12

This means that these are the following numbers: 47, 48, 65, 66, 84

4. #7 says that you must find the smallest number. The smallest number left is 47.

[(4 x 2) + (2 x 3)] ÷ 2 x 5 =

Answers

Answer:

1.4

Step-by-step explanation:

= [(4 x 2) + (2 x 3)] ÷ 2 x 5

= [8 + 6] / 10

= 14 / 10

= 1.4

Find the critical value ta/2 needed to construct a confidence interval of the given level with the given sample size. Round the answers to three decimal places.
(a) For level 90% and sample size 8.
(b) For level 99% and sample size 11.
(c) For level 95% and sample size 25.
(d) For level 99.5% and sample size 10.

Answers

Answer:

1.894

3.169

2.064

3.690

Step-by-step explanation:

A.) 90% ; sample size = 8

Degree of freedom, df = n - 1

t(1 - α/2, 7) = t0.05, 7 = 1.894

B.) 99% ; sample size = 11

Degree of freedom, df = n - 1

t(1 - α/2, 10) = t0.005, 10 = 3.169

C.) 95% ; sample size = 25

Degree of freedom, df = n - 1

t(1 - α/2, 24) = t0.025,24 = 2.064

(D.) 99.5% and sample size 10.

Degree of freedom, df = n - 1

t(1 - α/2, 9) = t0.0025,9 = 3.690

The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.

Answers

Answer:

D

Step-by-step explanation:

We have the quadratic function:

[tex]f(x)=-x^2-4x+5[/tex]

First, the domain of all quadratics is always all real numbers unless otherwise specified. You can let x be any number and the function will be defined.

So, we can eliminate choices A and B.

Note that since the leading coefficient is negative, the parabola will be curved downwards. Therefore, it will have a maximum value. This maximum value is determined by its vertex, which is (-2, 9).

Since it is curving downwards, the maximum value of the parabola is y = 9. It will never exceed this value. Therefore, the range or the set of y-value possible is always equal to or less than 9.

So, the range of the function is all real numbers less than or equal to 9.

Our answer is D.

It is not C because the maximum value is dependent on y and not x.

A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 48.5% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100.(a) Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people.(b) Find the standard deviation of p.(c) Compute an approximation for P(p is greater than or equal to 0.485), which is the probability that there will be 48.5% or more individuals with IQ scores over 100 in a random sample of 400. Round answer to 4 decimal places.

Answers

Answer:

a) p = 0.5.

b) s = 0.025.

c) 0.7257 = 72.57% probability that there will be 48.5% or more individuals with IQ scores over 100 in a random sample of 400.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

It is known that 50% of the general population has an IQ score exceeding 100. Sample of 400.

This means that [tex]n = 400, p = 0.5, s = \sqrt{\frac{0.5*0.5}{400}} = 0.025[/tex]

(a) Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people

By the Central Limit Theorem, p = 0.5.

(b) Find the standard deviation of p.

By the Central Limit Theorem, s = 0.025.

(c) Compute an approximation for P(p is greater than or equal to 0.485), which is the probability that there will be 48.5% or more individuals with IQ scores over 100 in a random sample of 400.

This is 1 subtracted by the p-value of Z when X = 0.485. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.485 - 0.5}{0.025}[/tex]

[tex]Z = -0.6[/tex]

[tex]Z = -0.6[/tex] has a p-value of 0.2743.

1 - 0.2743 = 0.7257.

0.7257 = 72.57% probability that there will be 48.5% or more individuals with IQ scores over 100 in a random sample of 400.

What is the slope of the line represented by this equation?

-3x + 8y = 12

A -8/3
B -3/8
C 3/8
D 8/3

Answers

Answer:

C. 3/8

Step-by-step explanation:

[tex] - 3x + 8y = 12 \\ \therefore 8y =3x + 12 \\ \therefore \: y = \frac{3}{8} x + 12 \\ equating \: it \: with \\ y = mx + b \: we \: find: \\ m = \frac{3}{8} \\ \therefore \: slope = \frac{3}{8} [/tex]

The answer above is wrong I took the test. It's in the picture below!

Given that the length of the figure below is x + 2, its width is
2- 2, and its perimeter is 24, solve for 2.

Answers

Answer:

hear is your answer in attachment please give me some thanks

Solve for X in the triangle. Round your answer to the nearest TENTH. (LISTING BRAINLIST PLZ HELP)​

Answers

Answer:

2.3 =x

Step-by-step explanation:

We know the opposite and adjacent sides.

Since this is a right triangle, we can use trig functions

tan 38 = opp/ adj

tan 38 = x/3

3 tan 38 = x

2.34385688= x

To the nearest tenth

2.3 =x

Answer:

x ≈ 3.9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA  [Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 38°

Opposite Leg = x

Adjacent Leg = 5

Step 2: Solve for x

Substitute in variables [tangent]:                                                                     tan38° = x/5[Multiplication Property of Equality] Multiply 5 on both sides:                      5tan38° = xRewrite:                                                                                                              x = 5tan38°Evaluate:                                                                                                           x = 3.90643Round:                                                                                                               x ≈ 3.9

The width of a rectangle, in feet, is represented by (3x + 2). The length of the rectangle, in feet, is represented by (5x + 4). Find the perimeter of the rectangle.

Answers

The answer should be 16x+12 and here’s the solution , I hope you understand and sorry if my answer was wrong but I tried my best!!

a. Chéo hóa ma trận A .
b. Từ kết quả câu a, hãy tính 10 A .

Answers

Sorry don’t know this language

What is the value of x for x +20 x=22

Answers

Answer:

x(1+20)=22

21x=22

x= 22/21

x= 1.05

Step-by-step explanation:

Answer:

2!!!

Step-by-step explanation:

the person is wrong.. 2+20=22

Helpppplpppp




Which choice is equivalent to the product below?

Answers

Answer:

6

Step-by-step explanation:

=>root(2) x root(3) x root(6)

=>root(2x3) x root(6)

=>root(6) x root(6)

=>6

The quotient of 36 and 9 multiplied by 7

Answers

Answer:

6

Step-by-step explanation:

6*9 = 54

6*6 = 36

6*7 = 42

PlEaSe HelP mEakwhtb4qhnga

Answers

Answer:

d. y = x + 6

Step-by-step explanation:

Equation of AD can be written in the slope-intercept form, y = mx + b

First, find the slope (m) and y-intercept (b) of line AD.

✔️Slope (m) = change in y/change in x

Using two points on line AD, (-5, 1) and (0, 6):

Slope (m) = (6 - 1)/(0 - (-5))

Slope (m) = 5/5

m = 1

✔️y-intercept (b) is the point where the line cuts across the y-axis = 6

b = 6

✔️To write the equation, substitute m = 1 and b = 6 into y = mx + b

y = 1(x) + 6

y = x + 6

If 10 miles is 70% of the distance,
what is the total distance?

Answers

100/7 miles

10 = 7x/10
100 = 7x
100/7 = x

A bin of 50 manufactured parts contains 3 defective parts and 47 non-defective parts. A sample of size 6 parts is selected from 50 parts. Selected parts are not replaced. How many different samples are there of size six that contain exactly 2 defective parts? What is the probability that a sample contains exactly 2 defective parts?

Answers

Answer:

535,095 different samples of size six that contain exactly 2 defective parts.

0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

As the order of the parts is not important, the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many different samples are there of size six that contain exactly 2 defective parts?

2 defective from a set of 3, and 4 non-defective from a set of 47. So

[tex]D = C_{3,2}*C_{47,4} = \frac{3!}{2!1!}*\frac{47!}{4!43!} = 535095[/tex]

535,095 different samples of size six that contain exactly 2 defective parts.

What is the probability that a sample contains exactly 2 defective parts?

The total number of samples is:

[tex]T = C_{50,6} = \frac{50!}{6!44!} = 15890700[/tex]

Then...

[tex]p = \frac{D}{T} = \frac{535095}{15890700} = 0.0337[/tex]

0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.

Do the following lengths form a right triangle?​

Answers

Answer:

yes, this forms a right angle

5'1 in height plus 7 cm how tall am I ?

Answers

Answer:

5.313 ft (about 5'3.75")

5’1 = 154.94

154.94+7=161.94

Answer in cm: 161.94

Answer in inches: 5’3.756

Which is more economical: purchasing the economy size of a detergent at 3 kilograms for $3.15 or purchasing the regular size at 720 grams for 60c?

Answers

Answer:

Due to the lower price per kilogram, purchasing the regular size at 720 grams for 60c is more economical.

Step-by-step explanation:

Which is more economical?

Whichever situation has the lowest price per kilogram.

3 kilograms for $3.15

3.15/3 = $1.05 per kilogram.

720 grams for 60c

0.6/0.72 = $0.83 per kilogram.

Due to the lower price per kilogram, purchasing the regular size at 720 grams for 60c is more economical.

Work out the following, giving your answers in their simplest form:
b) 5/9 ÷ 5​

Answers

Answer:

5/9÷55/9×1/51/9Hope it helps you

Answer:

Since i m not sure of the equation i have dont both possible ways :)

Step-by-step explanation:

b)

(5/9) ÷ 5

    [tex]= \frac{5}{9} \div 5\\\\=\frac{\frac{5}{9}}{5}\\\\=\frac{5}{9 \times 5}\\\\=\frac{1}{9}[/tex]

5/(9÷5)

   [tex]=\frac{5}{9 \div5}\\\\= \frac{5}{\frac{9}{5}}\\\\=\frac{5 \times 5}{9}\\\\=\frac{25}{9}[/tex]

The length of duration, in minutes, of earthquakes in California has been recorded for future analysis and information. An earthquake expert claims that the average duration of earthquakes in California is 0.5 minutes. To investigate the validity of this claim a random sample of 6 earthquakes were taken and the sample mean and the sample standard deviation were 1.15 and 0.308 minutes, respectively. Construct a 98% confidence interval and determine if the researcher`s claim can be rejected.
a. 98% C.l.is (0.727, 1.573). One can reject the expert's claim tha thte true average duration of earthquakes in California is 0.5 minutes.
b. 98% C.I. is (0.727, 1.573). One cannot reject the expert's claim tha thte true average duration of earthquakes in California is 0.5 minutes.
c. 98% C.I. is (0.755, 1.545). One can reject the expert's claim tha thte true average duration of earthquakes in California is 0.5 minutes.
d. 98% C.I. is (0.755, 1.545). One cannot reject the expert's claim tha thte true average duration of earthquakes in California is 0.5 minutes.

Answers

Answer:

The answer is "(0.727, 1.573)".

Step-by-step explanation:

The confidence interval of 98 percent is C.I = (0.727, 1.573). You might disregard the statement of the experts that the genuine average duration in California of earthquakes is 0.5 minutes.

[tex]C.I = \bar{x}\pm t_{\frac{\alpha }{2}}\times \frac{s }{\sqrt{n}}\\\\[/tex]

      [tex]= 1.15 + 3.365 \times 0.12574\\\\= 1.15 + 0.4231\\\\= (0.7269, 1.5731)[/tex]

RJM Enterprises is a manufacturer of consumer electronics products. The industry is very competitive, and RJM has seen its profits fall in recent years, including an operating loss of $16,328 last year. RJM was able to turn that around this year by aggressively cutting costs. The summarized financial results for RJM are shown below:

Answers

Answer: hello your question has some missing data attached below is the missing data

answer :

∑ Volume variance = $55272

∑ Sales price variance = $41944 ( F )

Step-by-step explanation:

First step : prepare a flexible budget data for the current year using the formulae below

flexible budget = Actual units * Budgeted rate

and

Sales price variance = Actual - Budgeted data

Attached below is the Table showing the evaluation of sales price variance and volume variance

Use the formula for simple interest, I = Prt, to find the indicated quantity. Assume a 360 day year.
1 = $24; P = $1200; t = 90 days; r = ?
r=% (Simplify your answer.)

Answers

Answer:

r = 8%

Step-by-step explanation:

Given that,

Interest, I = $24

Principal, P = $1200

Time, t = 90 days = 90/360 = 1/4 years

We need to find the rate.

We know that,

The simple interest is given by :

[tex]I=\dfrac{Prt}{100}[/tex]

Put all the values,

[tex]r=\dfrac{100I}{Pt}\\\\r=\dfrac{100\times 24}{1200\times \dfrac{1}{4}}\\\\r=8\%[/tex]

So, the rate is 8%.

Can I get some help with this question? I have attempted several times and failed.

Answers

9514 1404 393

Answer:

  B.  relative maximum of 8.25 at x=2.5

Step-by-step explanation:

A quadratic of the form ax²+bx+c has an absolute extreme at x=-b/(2a). For your quadratic, that is ...

  x = -5/(2(-1)) = 5/2

The value of the extreme is ...

  f(5/2) = (-5/2 +5)(5/2) +2 = 25/4 +2 = 33/4 = 8.25

The negative leading coefficient tells you the graph opens downward, so the extreme is a maximum.

The function has a relative maximum of 8.25 at x = 2.5.

__

A graphing calculator can show this easily.

what does the equation inverse of the function found in part b represent in the contract of the problem ? explain your answer .
context to question - At a carnaval , you pay $15 for admission plus $3 for each ride that you go on . ​

Answers

Answer:

[tex]f^{-1}(x) =\frac{x}{3} - 5[/tex]

The inverse function is to calculate the number of rides; given the amount paid

Step-by-step explanation:

Given

[tex]Admission = 15[/tex]

[tex]Ride = 3[/tex] per ride

Required

Explain the inverse function

First, we calculate the function

Let x represents the number of rides

So:

[tex]f(x) = Admission + Ride * x[/tex]

[tex]f(x) = 15 + 3 * x[/tex]

[tex]f(x) = 15 + 3x[/tex]

For the inverse function, we have:

[tex]y = 15 + 3x[/tex]

Swap x and y

[tex]x = 15 + 3y[/tex]

Make 3y the subject

[tex]3y = x - 15[/tex]

Make y the subject

[tex]y =\frac{x}{3} - 5[/tex]

Replace y with the inverse function

[tex]f^{-1}(x) =\frac{x}{3} - 5[/tex]

The above is to calculate the number of rides; given the amount paid

The numbers 1, 2, 3 , and 4 are drawn one at a time from the set {0, 1, 2, …, 9}. If these four numbers are drawn with replacement, what is the probability that 14 − 23 is an even number?

Answers

20565678764578900764213579098764

Which relations represent functions?
Input
Output
3
5
-b
9
d
Input
Output
7
-3
y
5
Input
Output
John
52

Answers

The first and last represent functions, no function has an input with two separate outputs

identify the 3D shape :)thank you

Answers

Answer: Triangular prism

If you folded the figure up, you would have a prism where the parallel bases are right triangles. Each lateral face is a rectangle.

It might help to imagine a room where the floor and ceiling are triangles (they are identical or congruent triangles). Each wall of this room is one of the rectangles shown.

If a rectangular prism has a length of 3 1/2 in and a width of 9 in and a height of 3 1/2, what would the surface area be?

Answers

The surface area is 150.5 in

Answer:

The surface area of this rectangular prism is 150.5 [tex]inches^{2}[/tex].

Step-by-step explanation:

The formula for finding the surface area of a rectangular prism is this :

A=2(wl + hl + hw)

l = 3.5, w = 9, h = 3.5

Now we substitute those values in and solve for A.

A = 2 · ( 9 · 3.5 + 3.5 · 3.5 + 3.5 ·9) = 150.5

The surface area of this rectangular prism is 150.5 [tex]inches^{2}[/tex].

Hope this helps, please mark brainliest. Have a great day!

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