What’s the correct answer for this question?

Whats The Correct Answer For This Question?

Answers

Answer 1

Answer:

C.

Step-by-step explanation:

1/2r = 2π/Cb


Related Questions

(!!!!PLZ HELP RIGHT NOW!!!!Josh pays 7.59$ for 2.2 pounds of ground Turkey. what is the price per pound of turkey

Answers

Answer:

$ 3.45

Step-by-step explanation:

$

7.59

is amount paid for  

2.2

pounds ground turkey

$

x

is amount paid for  

1

pound of ground turkey

Answer:

3.45$ per pound of turkey

Step-by-step explanation:

if we express it as a ratio 2.2: 7.57,we can divide both sides by 2.2 which would give is 1: 3.45

Hope it helps?

Use the drawing tools to form the correct answers on the provided dot plot.
Create a dot plot of the data on the average cruising speeds of Red Eagle's planes.
0.78
0.85
0.85
0.80
0.84
0.83
0.79
0.83
0.81
0.84
0.82
0.82
0.86
0.83
0.84
0.83
0.85
0.85
0.81
0.80
0.82
0.84
0.83
0.82
0.87
0.85
0.84
0.81
0.82
0.86
Drawing Tools
Delete Undo
Reset
Select
• Point
0.78
0.80
0.86
0.88
0.82 0.84
Average Cruising Speed

Answers

Answer:

hold on

Step-by-step explanation:

do you have options?

So on solving the provided question we can say we can plotting data by x = 0.83; y = 0.79; z = 0.83

Here, we have,

The most typical approach to display data using a chart is a graph that shows the relationship between two additional variables.

Diagrams created by hand or on a computer are also acceptable.

Move 2 units to the right after starting at the origin before going 3 units up.

The coordinates for the points 2, 3, should be shown on the coordinate plane. Clearly state your points.

The pink dot with the letter P thus stands for 2.3.

Before creating a line chart, you need first generate a number line for each value in your data collection.

Put an X (or dot) over each value of the data on the number line after that. For each instance when a value appears in a record, place an X over the corresponding number.

x = 0.83

y = 0.79

z = 0.83

xa = 0.85

ya = 0.85

za = 0.85

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The amount of a radioactive material changes with time. The table below shows the amount of radioactive material (t) left after time t: t(hours) 0 1 2 f(t) 100 50 25 Which exponential function best represents the relationship between f(t) and t?

Answers

The exponential function that best represents the relationship between f(t) and t is \(f(t) =100(0.5)^t\)

How to determine the exponential function that best represents the relationship between f(t) and t?

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

t    f(t)

0    100

1     50

2     25

From the above, we have the following

Initial value, a = 100

Rate, b = 50/100

Evaluate

b = 0.5

The function is represented as

\(f(t) =ab^t\)

So, we have

\(f(t) =100(0.5)^t\)

Hence, the exponential function that best represents the relationship between f(t) and t is \(f(t) =100(0.5)^t\)

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PLEASE HELP !!!!!!!!!!!!!!!!!!!!!!!!!

PLEASE HELP !!!!!!!!!!!!!!!!!!!!!!!!!
PLEASE HELP !!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

It is A and B

Step-by-step explanation:

What attributes of a rectangles and rhombuses are also attributes of parallelogram

Answers

Answer: rhombus, rectangle, and square — are so-called because they’re special cases of the parallelogram.

Step-by-step explanation:

Answer: rhombus, rectangle, and square — are so-called because they’re special cases of the parallelogram.

Step-by-step explanation:

Dan invests £11000 into his bank account.
He receives 7.5% per year simple interest.
How much will Dan have after 3 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

£13,475

Step-by-step explanation:

A = P(1 + rt)

P = £11000

r = 0.075 (percent in decimal form)

t = 3 years

A = £11000(1 + (0.075)(3))

A = £11000(1 + (.225))

A = £11000(1.225)

A = £13,475

Figure A maps to figure B with a scale factor of point 8

Answers

Answer:

Please you didn't provide the coordinates of figure A and figure B, only the scale factor. If you provide the coordinates,I will be able to solve it.

Thank you.

find the distance between the following pairs of points (-1,5)and(-7,-3)​

Answers

The distance between the points (-1, 5) and (-7, -3) is 10 units.

What is the distance between the given points?

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Point 1 (-1,5)

x₁ = -1y₁ = 5

Point 2 (-7,-3)​

x₂ = -7y₂ = -3

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √[(-7 - (-1))² + (-3 - 5)²]

D = √[(-7 + 1)² + (-3 - 5)²]

D = √[-6² + (-8)²]

D = √[36 + 64]

D = √100

D = 10

Therefore, the distance is 10 units.

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Which of the following statements is true of an essay's conclusion?

a.) It provides new evidence to support your argument.

b.) It hooks your reader.

c.) It includes the first statement of your thesis.

d.) It creates a sense of completeness.

Answers

The answer is option D.

PLEASE HELP THANK YOU HURRY FAST

PLEASE HELP THANK YOU HURRY FAST
PLEASE HELP THANK YOU HURRY FAST
PLEASE HELP THANK YOU HURRY FAST
PLEASE HELP THANK YOU HURRY FAST
PLEASE HELP THANK YOU HURRY FAST

Answers

The zeros of a polynomial function are given as,

x= 1 , x= 2, x= 3 and x= -3

Let the polynomial in standard form be,

y = ( x- 1)(x - 2)(x - 3)(x +3)

⇒ y = (x² - 2x - x +2)( x² - 3x +3x - 9)

⇒ y = (x² - 3x +2)(x² - 9)

⇒ y = x⁴ - 9x² - 3x³ + 27x + 2x² - 18

⇒ y = x⁴ - 3x³ -7x² + 27x  -18

Hence option c is the correct answer.

The given cubic equation is ,

x³ +6x² +11x +6 = 0

Calculating its roots we get,

x³ +6x² +11x +6 = 0

⇒ (x +1)( x+2 )(x+ 3) = 0

Thus the roots are -1, -2, and -3

Hence all the roots are real and are of different values.

Hence option d is the correct option.

The given radical expression can be simplified as,

\(\sqrt[4]{625 x^8 y^{12} }\) = 5\(x^{2} y^3\)

Hence option a is the correct option.

We can simplify the given expression as,

\(27^{1/3}\) = ∛27 = ∛(3³) = 3

Hence option d is the correct option.

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The tickets for the field trip were purchased yesterday for both students and instructors. Children tickets cost $9, adult tickets cost $11. The number of children tickets purchased was three more than ten times the number of adults tickets purchased. How many of each were purchased if all of the tickets cost a total of $936 dollars?

Answers

The 9 adult tickets and 93 children tickets were purchased.Let's assume the number of adult tickets purchased is "a" and the number of children tickets purchased is "c."

According to the given information, children tickets cost $9 and adult tickets cost $11. So, the total cost of children tickets is 9c, and the total cost of adult tickets is 11a.

The problem also states that the total cost of all the tickets is $936. Therefore, we can write the following equation:

9c + 11a = 936

Additionally, it is mentioned that the number of children tickets purchased was three more than ten times the number of adult tickets purchased:

c = 10a + 3

We can now solve this system of equations to find the values of "a" and "c." By substituting the value of "c" from the second equation into the first equation, we have:

9(10a + 3) + 11a = 936

90a + 27 + 11a = 936

101a = 936 - 27

101a = 909

a = 909 / 101

a = 9

Substituting this value back into the second equation, we find:

c = 10(9) + 3

c = 90 + 3

c = 93.

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The set of all triples of real numbers with the standard vector
addition but with scalar multiplication defined by
k(x, y, z) = (k2
x,k2
y,k2
z)

Answers

The given operation is not a vector space because it fails axiom 8 ("distributivity of scalar multiplication with respect to field addition").

What is a vector space?

A vector space can be defined as a space (set) which comprises vectors, whose elements can be added under the associative and commutative operation, and can be multiplied by scalars under the associative and distributive operation.

This ultimately implies that, a vector space must be comprised of at least one element, which is generally regarded as its zero vector and the smallest possible vector space.

For every element {u, v and w} in vector (V), and element {a and b} in vector (F), this 8th axiom must be satisfied in order to have a vector space:

(k + m)u = ku + mu

Note: The above axiom (k + m)u = ku + mu is generally referred to as the "distributivity of scalar multiplication with respect to field addition."

Given the following vector:

k(x, y, z) = {k²x, k²y, k²z}

If x₁ · x₂ ≥ 0, then, (kx₁) · (kx₁) = k²x₁y₁ ≥ 0 [Closed in scalar multiplication].

If x₁ · x₂ ≥ 0, x₂ · y₂ ≥ 0, then (x₁ + x₂) · (y₁ + y₂):

x₁y₁ + x₂y₂ + x₁y₂ + x₂y₁ < 0

x₁y₁ + x₂y₂ < -(x₁y₂ + x₂y₁) [Not closed in vector addition].

In conclusion, we can infer and logically deduce that the given operation is not a vector space because it fails axiom 8 ("distributivity of scalar multiplication with respect to field addition").

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Complete Question:

Determine whether each set equipped with the given operations is a vector space. For those that are not vector spaces identify the vector space axioms that fail.

The set of all triples of real numbers with the standard vector addition but with scalar multiplication defined by k(x, y, z) = {k²x, k²y, k²z}.

Many fire stations handle emergency calls for medical assistance as well as calls requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.63. This can be expressed as
P(call is for medical assistance) = 0.63.
(b) What is the probability that a call is not for medical assistance?
(c) Assuming that successive calls are independent of one another, calculate the probability that two successive calls will both be for medical assistance.
(d) Still assuming independence, calculate the probability that for two successive calls, the first is for medical assistance and the second is not for medical assistance.
(e) Still assuming independence, calculate the probability that exactly one of the next two calls will be for medical assistance. (Hint: There are two different possibilities. The one call for medical assistance might be the first call, or it might be the second call.)

Answers

(b) The probability that the call is not for medical assistance = 0.37

(c) The probability that two successive calls will both be for medical assistance = 0.3969

(d) The probability that the first is for medical assistance and the second is not for medical assistance = 0.2331

(e) The probability that exactly one of the next two calls is going to be for medical assistance = 0.4662

Define Probability.

The probability of an event is the proportion of favourable outcomes to all other possible outcomes. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability:

Probability (Event) = Positive Results/Total Results

                                 = x/n

Given P (call for medical assistance) = 0.63

This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.63 or 63%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:

P (Not Medical Assistance) = 1 - P (Medical Assistance)

                                            = 1 - 0.63

                                            = 0.37

Now, assuming that successive calls are independent of one another, the probability that two successive calls will both be for medical assistance will be:

P (2 calls for medical assistance)

= 0.63 × 0.63

= 0.3969

The probability that the first is for medical assistance and the second is not for medical assistance will be:

P (1st for medical assistance × 2nd for not medical assistance)

= 0.63 × 0.37

= 0.2331

The probability that exactly one of the next two calls is going to be for medical assistance will be:

P (Exactly 1 call for medical assistance)

= (0.63×0.37) + (0.63×0.37)

= 0.2331 + 0.2331

= 0.4662

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Select the type of equations.
O Consistent
O equivalent
O inconsistent

Select the type of equations.O ConsistentO equivalentO inconsistent

Answers

C

Explain

Second line isn’t going strong

What does the y-intercept of the line tell you about the situation?
Please answer this quickly it’s due in 10min

What does the y-intercept of the line tell you about the situation?Please answer this quickly its due

Answers

The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.

How to define a linear function?

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

m is the slope.b is the y-intercept.

The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:

b = 10.

The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.

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Lorena borrowed $1950 to buy books and a tablet for her freshman year of college. She will pay off the loan in 10 months at an annual simple interest rate of 5.75%. How much interest will she be charged and what is the total amount she must pay at the end of the 10 months? Round your answer to the nearest cent.

Answers

Answer:

Step-by-step explanation:

Simple Interest = Principal * Rate * Time/100

Given

Principal (amount borrowed) = $1950

Rate = 5.75%

Time = 10month

Convert time to year

To do that, we will divide the value in months by 12 i.e Time = 10/12

Time = 5/6 years

Substitute into the formula and find the simple interest

SI = (1950 * 5.75*5/6)/100

SI = (1950 * 5.75*5)/600

SI = 56,062.5/600

SI = $93.4375

Hence she will be charged interest of $93.4375

To get the total amount after 10 months, we will use the formula;

Amount = Principal + Interest

Amount = $1950 + $93.4375

Amount = 2,043.4375

Hence she must pay back $2,043.4375 after 10 months

Solve for x and y 4x + 3y = -10 9x + 2y =6

Answers

Step-by-step explanation:

4x + 3y = -10

9x + 2y = 6

we have 2 general options :

substitution or elimination.

in substitution we use one equation to express one variable by the other, then use that equality in the second equation and solve for the remaining variable.

like in our case

4x = -10 - 3y

x = (-10 - 3y)/4

in elimination we multiply one or both equations by some factors and then subtract one equation from the other resulting in one equation in one remaining variable.

this is the better method, if substitution leads to more complex fractions.

like in our case.

so, I would multiply equation 1 by 2 and equation 2 by 3, and then subtract e.g. equation 2 from 1 (we could also do it the other direction, it gives the same solutions) :

8x + 6y = -20

- 27x + 6y = 18

------------------------

-19x 0 = -38

-19x = -38

19x = 38

x = 2

and then we pick any of the original equations to get the other variable :

e.g.

4x + 3y = -10

4×2 + 3y = -10

8 + 3y = -10

3y = -18

y = -6

If the weight of a package is multiplied by 3/4 The result is 69 pounds. Find the weight of the package

Answers

Answer:

92 pounds

Step-by-step explanation:

you divide the 69 by 3/4 to get 92

One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive

Answers

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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Olga is using spherical beads to create a border on a picture frame. Each bead has a diameter of 1.5 millimeters. Find the volume of each bead. Round to the nearest tenth.

Answers

The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:

r = 1.5 mm / 2 = 0.75 mm

Now, we can substitute the value of the radius into the volume formula:

V = (4/3) * π * (0.75 mm)^3

Using the value of π ≈ 3.14 and performing the calculations:

V ≈ (4/3) * 3.14 * (0.75 mm)^3

V ≈ (4/3) * 3.14 * 0.421875 mm^3

V ≈ 1.767 mm^3 (rounded to the nearest tenth)

the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

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A soda factory makes 9 flavours of soda. Each case of soda has 7 cans of each flavour. How many cans of soda does the factory put in 7 cases?

Answers

The factory will put 441 cans of soda in 7 cases.

If each case of soda contains 7 cans of each flavor, and the factory is putting 7 cases, we can calculate the total number of cans by multiplying the number of flavors, cans per flavor, and cases.

Given:

Number of flavors = 9

Cans per flavor = 7

Number of cases = 7

To calculate the total number of cans, we can multiply these values:

Total cans = Number of flavors × Cans per flavor × Number of cases

Total cans = 9 × 7 × 7

Total cans = 441

To arrive at this answer, we multiplied the number of flavors (9) by the number of cans per flavor (7) to get the number of cans per case (63). Then, we multiplied the cans per case (63) by the number of cases (7) to obtain the total number of cans (441).

Hence, the factory will put 441 cans of soda in 7 cases.

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In a marketplace, a box of peaches can be purchased for $78.95 per box. One box contains 50 peaches. How much would you have to pay to buy 9 peaches?
(Hint: Convert 9 peaches into dollars.)
Round your answer to the nearest hundredth. Do not type the units ($) in the space below.

Answers

Answer:

The cost of 9 peaches will be 9/50 th of the price of 50 peaches. Therefore, the answer is 9/50 * 78.95 ≈ $14.21.

Answer:

14.21

Step-by-step explanation:

To find the cost of 9 peaches, you would need to find the cost of one peach. To do this, you would need to divide 78.95 by 50. This comes out to 1.579 per  peach. To find the cost of nine peaches, you would multiply this number by 9 to get 14.211. We are not done yet since you have to round to the nearest hundredth. When rounded, you get 14.21.

Hence,

the cost of nine peaches is 14.21 dollars.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Please help! Will give brainliest

Please help! Will give brainliest

Answers

Answer:

option A

Step-by-step explanation:

f(x)+g(x) will lead to addition of the fractions

LCM of 2x and x² is 2x²

{(2x²×½x)+(2x²×4/x²)}/2x²

x+8/2x²

52. Find a vector v whose magnitude is 3 and whose component in the i direction is equal to the component in the j direction.

Answers

The vector whose magnitude is 3 and whose components I. the I and j direction are equal is; <3√2/2i, 3√2/2j>.

Which vector is as described in the task content above?

It follows that the magnitude of a vector in terms of its components in the i and j direction is;

M = √(x² + y²).

On this note, since the i and j components are equal; x = y and hence, we have;

3 = √(x² + x²).

3² = 2x²

x² = 9/2

x = 3/√2

x = 3√2/2

On this note, the required vector which is as described is; <3√2/2i, 3√2/2j>.

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Please use the following to answer the next 4 questions. A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. A random sample of 49 bottles is selected, and the contents are measured. The sample yielded a mean content of 11.88 ounces with a standard deviation of 0.35 ounces.

1.State the null and alternative hypotheses.

a. H0: µ = 0, Ha: µ > 11.88

b. H0: µ = 0, Ha: µ ≠ 11.88

c. H0: µ = 0, Ha: µ > 12

d. H0: µ = 0, Ha: µ ≠ 12

2.Specify the rejection region for = 0.01. Reject H0 if

a. t > 2.68

b. t < -2.68

c. |t| > 2.68

d. z < 2.68

3.Calculate the p-value

a. 0.01

b. 0.02

c. 0.005

d. 0.05

4. What is your conclusion?

a. Reject H0

b. Fail to reject H0

c. Reject Ha

d. Fail to reject Ha

Answers

The null and alternative hypotheses can be stated as follows:

c. H0: µ = 12, Ha: µ ≠ 12

The null hypothesis (H0) assumes that the population mean content of the bottles is 12 ounces, indicating perfect adjustment of the filling machine. The alternative hypothesis (Ha) states that the population mean content is not equal to 12 ounces, suggesting that the machine is not in perfect adjustment.

The rejection region for α = 0.01 can be specified as:

c. |t| > 2.68

This means that we would reject the null hypothesis if the absolute value of the calculated t-statistic is greater than 2.68.

To calculate the p-value, we need the t-statistic corresponding to the sample mean and standard deviation. With a sample mean of 11.88 ounces, a standard deviation of 0.35 ounces, and a sample size of 49, we can calculate the t-statistic. The p-value represents the probability of observing a sample mean as extreme as the one obtained, assuming the null hypothesis is true.

The p-value cannot be determined without the t-statistic value or the corresponding degrees of freedom.

Without the p-value, we cannot draw a definitive conclusion. To make a conclusion, we would compare the calculated t-statistic to the critical t-value based on the chosen significance level (α = 0.01). If the calculated t-statistic falls within the rejection region (|t| > 2.68), we would reject the null hypothesis. If the calculated t-statistic falls outside the rejection region, we would fail to reject the null hypothesis.

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The price of tickets to the Dakota vs. Chippewa football game goes from $6 to $4, which results in a 50% change in demand for tickets. What is the elasticity? What type of product is it?

Answers

It is elastic and it is a good commodity

the force needed to break a board varies inversely with its length. If tom uses 20lb of pressure to break a 1.5 -ft board, how many pounds of pressure would he need to use to break a 6 -ft board

Answers

\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"f" varies inversely with "L"}}{f=\cfrac{k}{L}}\qquad \textit{we also know that} \begin{cases} f=\stackrel{lbs}{20}\\ L=\stackrel{ft}{1.5} \end{cases} \\\\\\ 20=\cfrac{k}{1.5}\implies 30=k~\hfill \boxed{f=\cfrac{30}{L}} \\\\\\ \textit{when L = 6, what is "f"?}\qquad f=\cfrac{30}{6}\implies f=5\)

need help asappppppp ​

Answers

No picture u need to upload a picture so I can answer it
Don’t see nothing to help

(WILL MAKE BRAINLIST)


give the points (4,-5) and (0,-2) on a line find the values of M and B.
y= mx+b
M= ?

B= ?

enter answers as integers and or as reduced fractions in the form A/B

Answers

Answer:

m = -3/4; b = -2

Step-by-step explanation:

y = mx + b

First, we use the coordinates of the points to find the slope, m.

m = (y2 - y1)/(x2 - x1) = (-2 - (-5))/(0 - 4) = (-2 + 5)/(-4) = -3/4

The slope, m = -3/4.

Now we use the slope and the coordinates of one point in the equation y = mx + b to find b.

y = mx + b

y = (-3/4)x + b

Let's use point (0, -2).

-2 = (-3/4)(0) + b

b = -2

Answer: m = -3/4; b = -2

8. When a force is applied to an object, the object's acceleration (varies inversly with the square
of it's mass. When the force is applied on a mass of 5kg, the acceleration is 4m/s2 If a
similar force is applied to another object, its acceleration is 0.1m/s2. What is the mass of the
object? Round your answer to the hundreths place.

Answers

When a force is applied to an object, the mass of the  object rounded to the hundredths place is 0.79 kilograms.

Let the first object be A.Let the second object be B.

Given the following data:

Mass A = 5 kgAcceleration A = 4 \(m/s^2\)Acceleration A = 0.1 \(m/s^2\)

To find the mass of object B:

First of all, we would solve for the force acting on the two objects.

Translating the statement into an inverse expression, we have;

\(F = \frac{a}{m^2}\)

Substituting the values into the equation, we have:

\(F = \frac{4}{5^2}\\\\F = \frac{4}{25}\; Newton\)

Next, we would determine the mass of object B;

\(\frac{4}{25} = \frac{0.1}{B^2}\)

Cross-multiplying, we have:

\(4B^2 = 25\) × \(0.1\)

\(4B^2 = 2.5\\\\B^2 = \frac{2.5}{4} \\\\B^2 = 0.625\\\\B = \sqrt{0.625}\)

Mass B = 0.79 kg

Therefore, the mass of the  object rounded to the hundredths place is 0.79 kg.

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