A factory produces bolts at a constant rate. After 4 hours, 3,200 bolts have been produced. Which graph models a relationship with the same rate?

A Factory Produces Bolts At A Constant Rate. After 4 Hours, 3,200 Bolts Have Been Produced. Which Graph
A Factory Produces Bolts At A Constant Rate. After 4 Hours, 3,200 Bolts Have Been Produced. Which Graph

Answers

Answer 1
Answer is D. Because 3,200 bolts at 4 would be 800 per hour which matches up with the graph
Answer 2

The graph that models the relationship between the factory production and the time is the graph in option D

The number of bolts produced within four hours is 3200

The rate of production is the ratio of the change in the number of bolts produced to the the change in time

Change in the number of bolts produced, ∆y = 3200 bolts

Change in time, ∆t  =  4 hours

Rate of change = ∆y / ∆t

Rate of change = 3200/4

Rate of change = 800 bolts per hour

The only graph that models this relationship is the graph in option D because it also have a rate of change of 800 bolts per hour

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Answer:

b. y=1/2x-2

Step-by-step explanation:

We can determine b by looking at the y intercept, which, in this case is (0,-2). Now we know that b is -2. To find the slope, we need to look a rise over run which is 1/2 here (1 up, 2 right). So, our final answer is y=1/2x-2

The number of employees for a certain company has been decreasing each year by ​4%. If the company currently has 710 employees and this rate​ continues, find the number of employees in 11 years.

Answers

Answer:

Answer is A

Step-by-step explanation:

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Answers

Answer:

y=-2x+15

Step-by-step explanation:

Hi there!

We are given that m=-2, b=15, and we want to write the equation of the line, given these values

We can write the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, since we are given the values of both m and b.

Since we know the values of m and b (-2 and 15 respectively), we can substitute those numbers in as the variables they equal to.

Substitute -2 as m:

y=-2x+b

Substitute 15 as b:

y=-2x+15

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Naomi has earned $81 mowing lawns the past two days. She worked 3
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Answer:

She would of made $40.5 because of $81 divided between the 2 days that she worked

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Answer: A = 27 units^2

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A = (w)(l)                                                                                                                     A = (3)(9)                                                                                                                   A = 27 units^2

A function is described by the equation
f(x) = 3x – 4. If f(x) = 26, what is the
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Answers

Answer:

g(x) = 2x + 2

Step-by-step explanation:

f(x) = 6x

g(x)= 1/3*f(x) + 2

g(x) = 2x + 2

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Answer:

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Answer:

1/2

Step-by-step explanation:

We have 2 points, (1,3) and (9,7). So, the slope of the line is (7-3)/(9-1)=4/8=1/2

can you Solve for c?​

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Answer:

[tex]3\sqrt{2}[/tex] or [tex]\sqrt{18}[/tex]

Step-by-step explanation:

Use 45-45-90 triangle theorem

3*[tex]\sqrt{2}[/tex]

About 5 out of 10 people entering a community college need to take a refresher mathematics course. If there are 970 entering​ students, how many will probably need a refresher mathematics​ course?

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Based on information from Consumer Reports, a random sample of 35 thirty-gram cookies had a sample mean of 146 calories. The standard deviation is know to be σ = 12. Find a 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies. Round the numbers in your interval to the nearest whole number.

Answers

Using the z-distribution, it is found that the 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.

The information given is:

Sample mean of [tex]\overline{x} = 146[/tex]. Population standard deviation of [tex]\sigma = 12[/tex]. Sample size of [tex]n = 65[/tex].

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

The critical value, using a z-distribution calculator, for a 95% confidence interval is z = 1.645, hence:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 146 - 1.645\frac{12}{\sqrt{35}} = 143[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 146 + 1.645\frac{12}{\sqrt{35}} = 149[/tex]

The 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

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Answer:

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Answers

Answer:

2n + 14 = 30

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Step-by-step explanation:

When the question says twice a number n, that means 2 * n = 2n.

Then when it says the sum of 2n and 14, that means 2n + 14.

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Then divide by 2 on both sides:

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I hope this helps!

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Answers

540 ft^2 because 90x6=540 2 yards = 6 feet

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Answer:

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What is the value of 3x + 4y² when x = 5 and y = 3?

Answers

The value of 3x + 4y² when x = 5 and y = 3 is 51.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is,

3x + 4y²

We have to find the value of the expression when the value of x = 5 and that of y = 3.

For that, substitute x = 5 and y = 3 in place of x and y.

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Hence the value of the expression is 51.

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Answer:

51

Step-by-step explanation:

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you tried plugging in 3 for J on both sides of the equation

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First find the length of the line in the middle.

c^2=5^2 + 5^2
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Then use that to find x.

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Answers

Answer:

About 13 students

Step-by-step explanation:

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Answer:

2

Step-by-step explanation:

let 'x' = number

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Answer:

uh

Step-by-step explanation:

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Answer:

x=0

Step-by-step explanation:

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Answers

Visually, derivative of a function f at x=a represents the slope of the curve at the point x=a . Derivative As Slope: The slope of tangent line shown represents the value of the derivative of the curved function at the point x . Sometimes f has a derivative at most, but not all, points of its domain.

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Answers

Answer:

3 hours 45 minutes

Step-by-step explanation:

270/2 1/2 = 108. This means they are delivering 108 leaflets an hour. Then you divide 405 by 108 and get 3.75, which is 3 hours and 3 quarters of an hour. since a quarter of an hour is 15 minutes it would be 3 hours 45 minutes.

A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases. Graph g when g(0)=-3 . Identify the slope, y-intercept, and x-intercept of the graph.

Answers

Answer:

The slope (m = rate of growth) for this function is 3/5. So, m= 3/5.

The y-intercept (b) for this function is located at (0,3). So, b=3.

Therefore, h(x) = 3/5x + 3

Step-by-step explanation:

Let the independent variable be x and dependent variable be y

y=h(x)

h is a linear function so it is represented in the general form of y=mx+c where

m is slope and c is the y-intercept.

Given "the dependent variable decreases 3 units for every 5 units the independent variable increases."

When x increases by 5, y decreases by 3

So the slope = rate of change of y / rate of change of x = -3/5

Given h(0)=3, h(0)=m(0)+c=3

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Combining slope and y-intercept, y=-3/5*x+3

x-intercept is when y=0

0=-3/5*x+3

3/5*x=3

x=3*5/3=5

x-intercept=5

The slope of the linear function 3/5.

The y - intercept of the linear function - 3.

The x - intercept of the linear function - 5.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.

And, g(0) = - 3

Now,

Since, A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.

So, Slope = Rate of growth

               = - 3 / 5

Thus, The slope of the linear function - 3/5.

Hence, The general form of equation of line is,

⇒ y = mx + c

⇒ g (x) = - 3/5x + c

Since, g (0) = - 3

⇒ g (0) = - 3/5 × 0 + c

⇒ - 3 = c

Thus, The y - intercept of the linear function - 3.

Hence, We get the general form of equation of line as;

⇒ g (x) = - 3/5x - 3

For x - intercept put g (x) = 0, we get;

⇒ 0 = - 3/5x - 3

⇒ - 3/5x = 3

⇒ x = - 5

Thus, The x - intercept of the linear function - 5.

Therefore, The slope of the linear function 3/5.

The y - intercept of the linear function - 3.

The x - intercept of the linear function - 5.

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Factorise. 5a² - 10a​

Answers

Answer:

5a (a -2)

Step-by-step explanation:

Hey there,

Here, you have to get the common factors out from the brackets.

According to this question,

a and 5 are the common factors.

Therefore, you can write the answer like this,

5a² - 10a

5a (a -2)

Hope this helps you.

Let me know if you have any other questions :-)

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