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Makovka662 [10]
4 years ago
12

Write four hundred seven trillion six million one hundred five thousand twenty eight in standard form

Mathematics
2 answers:
garri49 [273]4 years ago
7 0
407,600,105,028

Standard form is the basic form in numbers so basically you take the words and put them into numbers
Ratling [72]4 years ago
4 0
Standard form would be
.407600105028
Hope this helps
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Choose the true statement -2/3< -3/4, -2/3>-3/4, -2/3 = -3/4 which one is right?
Maksim231197 [3]
-2/3 > -3/4 is the right one
3 0
3 years ago
Read 2 more answers
What is the slope of this line? <br><br>5<br>1/5<br>-1/5<br>-5<br>​
Masteriza [31]

Answer:

1/5

Step-by-step explanation:

You do rise over run so your rise is 1 and your run is 5 so the answer is 1/5.

And it is positive because it is pointed to the right side.

Hope this helps

4 0
3 years ago
Write the simple linear regression equation for miles per gallon as the response variable and weight as the predictor variable.
horsena [70]

The simple linear regression equation for miles per gallon as the response variable and weight as the predictor variable is

M = \beta0 + \beta1W + ε

The car rental company can use this model to determine the effect of weight (of the car) on miles per gallon.

Given: To write a simple linear regression equation with Miles per gallon as the response variable and weight as the predictor variable.

What is simple linear regression?

Simple linear regression is used to estimate the relationship between two quantitative variables.

Let's say "Miles per gallon" is represented as M and

"Weight" be represented as W

The simple linear regression equation is :

M = \beta0 + \beta1W + ε

where,

  • M is Miles per gallon, the response variable also known as the dependent variable shows a predicted value for any given value of the independent variable W.
  • \beta0 is the intercept, the predicted value of M when W is 0
  • \beta1 is the regression coefficient -  how much we expect M to change as W increases.
  • W is the predictor variable also known as the independent variable ( the variable that is influencing M )
  • ε is the error of the estimate, or how much variation there is in our estimate of the regression coefficient.

How might the car rental company use this model?

The car rental company might use the regression model to determine the

  • Effect of weight (of car) on miles run per gallon

Know more about "simple linear regression" here: brainly.com/question/14313391

#SPJ4

4 0
2 years ago
When a company produces 10 items, it charges a price of $65 per product. When it produces 20 items, it charges a price of $60 pe
qaws [65]

Answer:

  • price function: p = 70-q/2 . . . . price per item
  • cost function: c = 40q +250 . . . . cost of q items
  • revenue function: r = q/2(140 -q) . . . . revenue from q items
  • profit function: P = 1/2(50-q)(q-10) . . . . profit from q items
  • break even points: (p, q) = (65, 10), (45, 50)
  • maximum profit: $200
  • quantity for maximum profit: 30

Step-by-step explanation:

For these we have to assume the price and cost functions are linear.

Let p, c, r, P, q represent price, cost, revenue, Profit, and quantity (of items), respectively. The 2-point form of the equation for a line is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

<u>Price Function</u>

Using the two-point form for price, we get ...

  p = (60 -65)/(20 -10)(q -10) +65 = -5/10(q -10) +65

  p = (-1/2)q +70 . . . . price per item

<u>Cost Function</u>

Using the two-point form for cost, we get ...

  c = (1050 -650)/(20 -10)(q -10) +650 = 40(q -10) +650

  c = 40q +250 . . . . cost for q items

<u>Revenue Function</u>

Revenue is the product of price and quantity:

  r(q) = qp

  r(q) = (1/2)q(140 -q) . . . . revenue from sale of q items

<u>Profit Function</u>

Profit is the difference between revenue and cost.

  P(q) = r(q) -c = 1/2q(140 -q) -(40q +250)

  P(q) = -1/2q^2 +30q -250

  P(q) = (-1/2)(q -10)(q -50) . . . . factored form

<u>Break-Even Points</u>

The profit function will be zero when its factors are zero, at q=10 and q=50. The price function tells us the corresponding prices are $65 and $45 per item, respectively.

<u>Maximum Profit</u>

The profit function is a maximum at the quantity halfway between the break-even points. There, q = (10+50)/2 = 30, and P(30) is ...

  P(30) = -1/2(30-10)(30-50) = 1/2(20^2) = 200 . . . . dollars

<u>Quantity for Maximum Profit</u>

This was found to be 30 in the previous section.

8 0
3 years ago
Which number is the best estimate of 866,214,000,000
miskamm [114]

This question is Incomplete because it lacks the appropriate options

Complete Question

Which number is the best estimate of 866,214,000,000 using powers of 10

a) 9 × 10¹¹

b) 8 × 10¹¹

c) 10 × 11¹⁰

d) 8 × 10-¹¹

Answer:

a) 9 × 10¹¹

Step-by-step explanation:

When we want to estimate a number using the power of 10, we are trying to write the number in a standard form.

We are to estimate :866,214,000,000 using powers of 10

Hence,

8.66214000000 × 10¹¹

We round up to the nearest whole number

= 9 × 10¹¹

Therefore, the best estimate for 866,214,000,000 using powers of 10

= 9 × 10¹¹

3 0
4 years ago
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