Write the equation for the line shown in the given graph. Give your answer in slope-intercept form, y=mx+b. Use points that clearly cross the interceptions of the graph paper

According to the given information, we know that:

Force (F) is constant

Mass (m) of the first object is 4 kg, and its acceleration (a) is 13 m/s².

Using Newton's second law of motion, we know that:

F = m*a

Solving for the force (F) acting on the first object:

F = m*a = 4 kg * 13 m/s² = 52 N

Now, if the same force acts upon an object with a mass of 26 kg, we can use the same equation to find its acceleration (a):

F = m*a

a = F/m

a = 52 N / 26 kg = 2 m/s²

Therefore, the acceleration of the second object is 2 m/s².

Learn more about acceleration from

https://brainly.com/question/15861482

#SPJ1

Answer:

Since line segment PQ is the result of reflecting line segment AB across the x-axis, we know that the y-coordinates of corresponding points on AB and PQ are the same but have opposite signs.

So if P has coordinates (2,-2) on PQ, then its corresponding point on AB must have coordinates (2, 2). Similarly, if Q has coordinates (8,-2) on PQ, then its corresponding point on AB must have coordinates (8, 2).

Therefore, the length of line segment AB is the distance between points (2, 2) and (8, 2) on the coordinate plane, which is:

AB = |8 - 2| = 6

So the answer is B) 6

Answer:

its in the picture

Step-by-step explanation:

Graph the absolute value using the vertex and a few selected points.

x          y

−1        -4

 0       -3

 1        -2

 2       -3

 3       -4

basically, the answer is the graph that looks like this...

hope this helps ;)

Answer:

75lbs

Step-by-step explanation:

if the mean of the packages was 15 then all the items averaged to 5 pounds each meaning they had a total of 15*5 or 75lbs

Answer:

Step-by-step explanation:

1. Distribute the 10: 30p + 40

If you are solving for p, then subtract 40: 30p = -40

Then divide 30: p = -40/30, simplified to p = -4/3

Answer:

  30p -40

Step-by-step explanation:

You want to simplify the expression -10(-3p +4).

The distributive property tells you the product is ...

  -10(-3p +4)

  = (-10)(-3p) + (-10)(4)

  = 30p +(-40)

  = 30p -40

__

Additional comment

It is easy to get confused by minus signs. For any given numerical product the sign of the result will be negative if (and only if) the number of negative factors is odd.

Here, the first product is (-10)(-3p), which has an even number of minus signs. The result will be the same as with no minus signs:

  (-10)(-3p) = (10)(3p) = 30p

On the other hand, the product (-10)(4) has an odd number of minus signs. That result will be negative:

  (-10)(4) = -40

For this problem, you could start by distributing the minus sign, changing the sign of each term inside the parentheses:

  -10(-3p +4) = 10(3p -4)

Doing this can simplify the mental load of figuring the signs of the product terms.

Answer:

153.47 Miles

Step-by-step explanation:

Starting with the total return fee you subtract the base fee from it

Then Divide the that total by .76

And there you go

Thanks for the Submission

The value of x in the circle is 19.5 .

What is secant line of circle?

A secant is a straight line that intersects a circle at least twice in different places. We can draw an endless number of secants on a circle since a circle has an infinite number of points around its perimeter.

Here the given circle using formula for secant line ,

(A+B).B = (C+D).D

Here A = x , B = 8 , C= 12 and D=10. Then,

=> (x+8).8= (12+10).10

=> 8x+64 = 22*10

=> 8x+64 = 220

=> 8x = 220-64 = 156

=> x = 156/8 = 19.5

Hence the value of x in circle is 19.5.

To learn more about secant line refer the below link

https://brainly.com/question/31248698

#SPJ1

The money in the account will be $252.

For simple interest, use the formula:

I = Prt

where I stands for interest earned, P for principle (amount paid in the beginning), r for yearly interest rate (in decimal form), and t for the time in years.

P equals $200, r equals 0.052, and t equals 5. With these values entered into the formula, we obtain:

I = Prt = ($200)(0.052)(5) = $52

The account will thus have $52 in interest after 5 years. After five years, we add the interest to the principal to determine the account's total balance:

Total = $200 + $52 = $252

Therefore, after five years, the account will have $252.

Learn more about simple interests here:

https://brainly.com/question/22621039

#SPJ1

According to the given information, the perimeter of the given right-angle triangle is 30ft.

Pythagoras' theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

We can use the Pythagorean theorem to find the length of the missing side of the right triangle, BC:

[tex]BC^2 = AB^2 - AC^2\\BC^2 = 13^2 - 12^2\\BC^2 = 169 - 144\\BC^2 = 25[/tex]

BC = 5

Now that we know all three sides of the triangle, we can find the perimeter by adding them together:

Perimeter = AB + AC + BC

Perimeter = 13 + 12 + 5

Perimeter = 30

Therefore, according to the given information, the perimeter of the given right-angle triangle is 30ft.

To know more about Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ1

The equation of a parabola with a vertex at (-1, -1) is y = (x +1)²- 1.

The distance that the fish was able to travel in all was 23. 9 meters .

The distance from Harry to the fish' s hole can be found by the Pythagorean theorem:

a ² + b ² = c ²

7 ² + 7 ² = c ²

49 + 49 = c²

98 = c²

c = 9. 9

The total distance that the fish traveled can then be found by summing the distance it already traveled with the distance to Harry's:

= 14 + 9. 9

= 23. 9 meters

The fish traveled approximately 23.9 meters in all, rounded to the nearest tenth.

Find out more on distance at https://brainly.com/question/29683361

#SPJ1

The surface areas of the prisms are listed below:

Case 1: 94 in²

Case 2: 72 cm²

Case 3: 40.5 m²

Case 4: 39.1 mm²

Case 5: 130 ft²

Case 6: 136 m²

In this problem we find six cases of prisms, whose surface areas have to be found. Surface area is the sum of the areas of all faces in the prism. Face have either a rectangular or a triangular form, whose area formulas are:

Rectangle

A = b · h

Triangle

A = 0.5 · b ·h

Where:

Now we proceed to determine the surface areas:

Case 1

A = 2 · (4 in) · (5 in) + 2 · (3 in) · (4 in) + 2 · (5 in) · (3 in)

A = 40 in² + 24 in² + 30 in²

A = 94 in²

Case 2

A = 2 · 0.5 · (3 cm) · (4 cm) + (5 cm) · (4 cm) + (5 cm) · (3 cm) + (5 cm)²

A = 12 cm² + 20 cm² + 15 cm² + 25 cm²

A = 72 cm²

Case 3

A = 2 · (3 m) · (7 m) + 2 · (6 m) · (7 m) + 2 · (6 m) · (3 m)

A = 10.5 m² + 21 m² + 9 m²

A = 40.5 m²

Case 4

A = 2 · 0.5 · (4 mm)² + 2 · (4 mm) · (3 mm) + (5.7 mm) · (3 mm)

A = 16 mm² + 6 mm² + 17.1 mm²

A = 39.1 mm²

Case 5

A = 2 · (10 ft) · (5 ft) + 2 · (5 ft) · (1 ft) + 2 · (10 ft) · (1 ft)

A = 100 ft² + 10 ft² + 20 ft²

A = 130 ft²

Case 6

A = 2 · 0.5 · (6 m) · (4 m) + 2 · (7 m) · (5 m) + (7 m) · (6 m)

A = 24 m² + 70 m² + 42 m²

A = 136 m²

To learn more on surface area of solids: https://brainly.com/question/29301011

#SPJ1

From the defined functions in problem, the functions that are mapped from z to z, and onto functions are f(n) = n - 1, [tex] f( n) = [\frac{n}{2}] [/tex]. So, option(a) and option(d) are right choice.

Onto functions work on the codomain. Here we want to check if it contains elements not associated with any element in the domain. Definition: A function f: A→B is onto if, for every element b∈B, there exists an element a∈A such that f(a)=b. An onto function is also called surjective. We have a number of functions that are mapped from Z to Z and we will identify which is onto function or not. Let's consider each one by one

a) f : Z→Z such that f( n) = n - 1

For all m∈Z( Co-domain) and consider (m - 1)∈Z( domain) s.t f( m) = m - 1 = m -1 i.,e., f(a) = b. So, it is an onto function.

b) f : Z→Z such that f( n) = n² + 1

For all m∈Z( Co-domain) and consider (m - 1)∈Z( domain) s.t f( m) = m² + 1 i.,e., two values of m exist and f(a) ≠ b.So, it is not onto function.

c) f : Z→Z such that f( n) = n³ ( cubic function), If f(n) = 2, where n( domain) and 2 (co-domain)

=> n³ = 2

=> n = 2⅓

So, it is not onto function.

d) f : Z→Z such that,[tex]f( n) = [\frac{n}{2}] [/tex]

For all m∈Z( Co-domain) and consider 2m∈Z( domain) s.t f( 2m) = [tex]f(2m) = [\frac{2m}{2}] [/tex]

= m

So, for every m there exits 2m such that, f(2m) = m. Hence, the onto functions are f( n) = n - 1 and [tex]f( n) = [\frac{n}{2}] [/tex].

For more information about onto function, visit :

https://brainly.com/question/30214956

#SPJ4

In linear equation, The required days for which Bryan's workout would be the same in either pool is 2 days.

What is a linear equation in mathematics?

A linear equation in algebra is one that only contains a constant and a first-order (direct) element, such as y = mx b, where m is the pitch and b is the y-intercept.

                         Sometimes the following is referred to as a "direct equation of two variables," where y and x are the variables. Direct equations are those in which all of the variables are powers of one. In one example with just one variable, layoff b = 0, where a and b are real numbers and x is the variable, is used.

Here.

Let the number of days of B'ryan workout be x, the total yard he swims be y,

According to the question,

he swims at the rec center pool, will complete a 100-yard warm-up, and then swim laps in a lane that is 39 yards long.

y = 100 + 39x

Jason swims at the indoor pool at his gym, he will complete a 104-yard warmup, plus the main set that consists of 37 yards per lap.

y = 104 + 37x

Equating both the equation,

100 + 39x =  104 + 37x

39x - 37x =  104 - 100

2x = 4

x = 2  days

Thus, the requried days for which Bryan's workout would be the same in either pool is 2 days.

Learn more about linear equation

brainly.com/question/11897796

#SPJ1

Answer: Let's call the total amount of grass that Austin collected "G" in kilograms. We know that he collected 30 9/10 kilograms, which can be written as a mixed number or an improper fraction:

30 9/10 = 309/10

So, we have:

G = 309/10

We also know that 2/3 of the grass he collected was blue grass. So, let's call the amount of blue grass "B" in kilograms. We can set up an equation based on the information given:

B = (2/3)G

Substituting G = 309/10, we get:

B = (2/3)(309/10)

B = 206/5

B = 41 1/5

Therefore, the total amount of blue grass Austin collected was 41 1/5 kilograms.

Step-by-step explanation:

it will cost Vince $5,175 to get new carpet installed, assuming the area to be covered is 500 square feet.

To calculate the cost for Vince to get new carpet installed, we need to add up the cost of the carpet, padding, labor, and hauling away the old carpet.

Let's assume that the area to be covered is 500 square feet. Then, the cost for each component can be calculated as follows:

Cost of carpet = $8/sq ft * 500 sq ft = $4,000

Cost of carpet padding = $0.30/sq ft * 500 sq ft = $150

Cost of labor = $0.75/sq ft * 500 sq ft = $375

Cost of hauling away old carpet = $1.30/sq ft * 500 sq ft = $650

Total cost = Cost of carpet + Cost of carpet padding + Cost of labor + Cost of hauling away old carpet

= $4,000 + $150 + $375 + $650

= $5,175.

Read more about Carpet

brainly.com/question/25951945

#SPJ1

The total cost of metal that made up the cylinder tank is 4220.16 dollars.

The cylinder has a diameter of 8 ft and a height of 2 ft. The cylinder tank is made up of metals. The metal cost 28 dollars for each foot .

Therefore, the cost of the whole metal for the cylinder tank can be found as follows:

surface area of a cylinder = 2πr(r + h)

where

Therefore,

r = 8 / 2 = 4 ft

h = 2 ft

surface area of a cylinder = 2 × 3.14 × 4(4 + 2)

surface area of a cylinder = 25.12(6)

surface area of a cylinder = 150.72 ft²

Therefore,

1 ft² = 28 dollars

150.72 ft² = ?

cross multiply

cost of the whole metal of the cylinder = 150.76 × 28

cost of the whole metal of the cylinder = 4220.16 dollars

learn more on cylinder here: https://brainly.com/question/29015630

#SPJ1

Answer: Im gonna guess and say its c

Step-by-step explanation:

Step-by-step explanation:

Let's assume the basic fee for water is $X per unit and the tariff for consumption is 5% increase per unit. VAT (Value Added Tax) is calculated at a rate of Y% on the total cost, including the basic fee and the tariff.

Given that the consumption is 15 units, the total cost for the consumption of 15 units of water without VAT can be calculated as:

Total cost without VAT = Basic fee + (Tariff rate * Number of units)

Tariff rate = 5% increase per unit, so it would be 1 + 5% = 1.05

Total cost without VAT = X + (1.05 * 15) = X + 15.75

Now, let's assume the VAT rate is Z%. The total cost including VAT can be calculated as:

Total cost including VAT = Total cost without VAT + (VAT rate * Total cost without VAT)

Total cost including VAT = (X + 15.75) + (Z% * (X + 15.75))

To calculate the amount by which the total cost, including VAT, for the consumption of 15 units of water will increase, we need to subtract the initial cost from the increased cost:

Increased cost = Total cost including VAT - Total cost without VAT

Increased cost = [(X + 15.75) + (Z% * (X + 15.75))] - (X + 15.75)

Simplifying, we get:

Increased cost = Z% * (X + 15.75)

So, the amount by which the total cost, including VAT, for the consumption of 15 units of water will increase depends on the value of Z% (the VAT rate) and X (the initial basic fee for water). Once we have these values, we can calculate the increased cost accordingly.

Answer:

We can start by using the Pythagorean identity to simplify the expression for cos J:

cos^2(J) + sin^2(J) = 1

Since we are given the value of sin J, we can substitute and solve for cos J:

cos^2(J) + (4/√82)^2 = 1

cos^2(J) + 16/82 = 1

cos^2(J) = 66/82

cos(J) = ±√(66/82)

We want to express cos J in simplest radical form, so we can simplify the square root by factoring out the greatest perfect square factor of the numerator:

cos(J) = ±√[(2311)/(2*41)]

cos(J) = ±(√2/2) * (√33/√41)

Since J is in the first or second quadrant (based on the given value of sin J), we know that cos J is positive, so we can drop the negative sign:

cos(J) = (√2/2) * (√33/√41)

Therefore, the exact value of cos J in simplest radical form is (√2/2) * (√33/√41).

Answer:

Properties of Hyperbolic Functions

This function's domain is (−∞,∞) and the range is (−1,1) .

Step-by-step explanation:

Hope this helps! =D

Therefore, we can say: limit sin(x) as x approaches pi/2 does not exist lim sin(x) as x approaches 0 = 0.

Although the function (sin x)/x is not defined at zero, it approaches 1 arbitrarily close as x approaches zero. In other words, when x gets closer to zero, the limit of (sin x)/x = 1.

We can put g(x) equal to -1/x and h(x) equal to 1/x because sin(x) is always between -1 and 1. As x approaches either positive or negative infinity, we know that the limit of both -1/x and 1/x is zero, and as a result, the limit of sin(x)/x is also zero.

To know more about limit visit:-

https://brainly.com/question/12207558

#SPJ1

The cumulative probability of obtaining a sample result will be approximately 0.0001

We have to apply Formula of Binomial Distribution:

P(X ≤ 168) = ΣP(X = i) for i = 0, 1, 2, .., 168, here in a sample of size n, P(X = i) is the probability of getting exactly i success

We assume that company's claim is true, 0.8 is the probability of success for each trial

P(X = i) = (200 choose i)×[tex]0.8^{i}[/tex] ×[tex]0.2^{200- i}[/tex]

By using this, we can easily find that cumulative probability is 0.0001

So, the probability is very low, this means that company's claim of an 80% success rate can be incorrect

So, further analysis may be needed to draw some conclusions and results

To learn more about probability:

https://brainly.com/question/136047

#SPJ4

The volume of the cone is approximately 37.7 cubic units

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the volume of a cone, we use the formula:

V = (1/3) * π * r² * h

where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.

Plugging in the given values, we get:

V = (1/3) * 3.14 * 3² * 4 ≈ 37.7

Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).

To know more about volume visit:

https://brainly.com/question/463363

#SPJ1

Answer:

I think 7.0 is the answer but I would not say that it is correct

Step-by-step explanation:

The closest answer among the given options is B) 2,100.

To estimate the number of people in the town who would name chocolate as their favorite ice-cream flavor, we can use proportions. We know that 7 out of 50 people in the sample named chocolate as their favorite. To find the proportion of chocolate lovers in the sample, we can divide the number of chocolate lovers by the total number of people surveyed:

7 chocolate lovers / 50 people surveyed = 0.14

Now, we can apply this proportion to the total population of the town to estimate the number of chocolate lovers:

0.14 * 14,878 (total population) ≈ 2,082.92

Since we can't have a fraction of a person, we can round this number to the nearest whole number:

Approximately 2,083 people in the town would be expected to name chocolate as their favorite ice-cream flavor.

The closest answer among the given options is B) 2,100.

Sam completed more of his science fair project than Paul.

To determine who completed more of their science fair project, we can compare the completion percentages of Paul and Sam.

Paul completed 65% of his science fair project, which can be expressed as 0.65 or 65/100.

Sam completed 17/24 of his science fair project, which can also be expressed as a decimal by dividing 17 by 24, which is approximately equal to 0.7083 or 70.83%.

Comparing the two completion percentages, we can see that Sam completed a higher percentage (70.83%) of his science fair project compared to Paul (65%). Therefore, Sam completed more of his science fair project than Paul.

Learn more about project completion here: https://brainly.com/question/15132014

#SPJ1

The rate at which Sheila charges customers for each serving =  $2.5 per serving.

Here the table that shows the cost of a cake from Sheila based on the number of servings is:

SERVINGS          TOTAL COST

    100                       $280

    150                       $405

    200                       $530

    250                       $655

We need to find the rate at which Sheila charge customers for each serving.

Consider points (x₁, y₁) = (100, 280) and  (x₂, y₂) = (200, 530)

where x is the number of servings and y coordinate represents the cost of servings.

The rate at which Sheila charges customers for each serving would be,

r = (y₂ - y₁) / (x₂ - x₁)

r = (530 - 280) / (200 - 100)

r = 250 / 100

r = 2.5

Therefore, the required rate is $2.5 per serving.

Learn more about the rate here:

https://brainly.com/question/29067103

#SPJ4

Answer:

$14.612

Step-by-step explanation:

40% = 0.4

Find a 40% tip on a 36.53 meal.

We Take

36.53 x 0.4 = $14.612

So, the tip is $14.612

Answer:

2/5

Step-by-step explanation:

slope= y2-y1 / x2-x1

in this case:

y2=7                            y1=5                      x2= 8                      x1=3

plug that into the formula above to get the answer

slope= 2/5 or 0.4