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weqwewe [10]
3 years ago
12

Is the value of the first 4 ten times as great as the value of the second 4 in 4,043? Explain. What can you generalize about the

value of digits that are two places apart in a number?
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
5 0

As per the the question we need to calculate the value of first 4 multiplied by 10.

Now in the number 4,043, the first 4 is at the thousands place. So the place value of first 4 in the digit 4,043 is 4000.

Multiplying the value of first 4 by 10 we get:

4000 \times 10=40,000

Now, the second 4 in the digit 4,043 is at the tens place. So the place value of second 4 in the digit 4,043 is 40.

We can see that two of them are not equal and the value of first 4 times ten is far greater than the value of second 4.

It can be said that two of the 4s in the digit 4,043 are at two different places, first is at thousands place and second is at tens place. So if the numbers are two places apart their place value will have difference of 100 folds.

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The accompanying table shows the value of a car over time that was purchased for
Dafna1 [17]

The value of the car after 11 years is $3137.18

<h3>exponential function</h3>

An exponential function is in the form:

y = abˣ

where a is the initial value of y, b is the factor, y, x are variables.

Let y represent the value of the car in dollars after x years. From the table:

When x  = 0, y = 12700, hence:

  • 12700 = ab°
  • a = 12700

When x = 2, y = 9849, hence:

  • 9849 = 12700b²
  • b = 0.8806

The exponential function is:

y = 12700(0.8806)ˣ

For 11 years:

y = 12700(0.8806)¹¹ = 3137.18

The value of the car after 11 years is $3137.18

Find out more on exponential function at: brainly.com/question/12940982

3 0
2 years ago
Find the minimum and maximum value of the function on the given interval by comparing values at the critical points and endpoint
Kitty [74]

Answer:

maximum: y = 1

minimum: y = 0.

Step-by-step explanation:

Here we have the function:

y = f(x) =  √(1 + x^2 - 2x)

we want to find the minimum and maximum in the segment [0, 1]

First, we evaluate in the endpoints, which are 0 and 1.

f(0)  =√(1 + 0^2 - 2*0) = 1

f(1) = √(1 + 1^2 - 2*1) = 0

Now let's look at the critical points (the zeros of the first derivate)

To derivate our function, we can use the chain rule:

f(x) = h(g(x))

then

f'(x) = h'(g(x))*g(x)

Here we can define:

h(x) = √x

g(x) = 1 + x^2 - 2x

Then:

f(x) = h(g(x))

f'(x)  =  1/2*( 1 + x^2 - 2x)*(2x - 2)

f'(x) = (1 + x^2 - 2x)*(x - 1)

f'(x) = x^3 - 3x^2 + x - 1

this function does not have any zero in the segment [0, 1] (you can look it in the image below)

Thus, the function does not have critical points in the segment.

Then the maximum and minimum are given by the endpoints.

The maximum is 1 (when x = 0)

the minimum is 0 (when x = 1)

7 0
3 years ago
The mean of birth weights for individual babies in the population is 3,500 grams. What is the mean birth weight for the sampling
Gala2k [10]

Answer:

The mean birth weight for the sampling distribution is

3,500 grams.

Step-by-step explanation:

The sample mean is the average of the sample values collected divided by the number of the samples, while the population mean is the average or mean of all the values in the population.  If the sample is random and the sample size is large enough, then the sample mean would be a good estimator of the population mean.  This implies that with a randomly distributed and unbiased sample size, the sample mean and population mean will be equal, according to the central limit theorem. Therefore, the mean of the sample means will always approximate the population mean.

8 0
3 years ago
A scale drawing of a car uses a scale of 2cm =1m. What is the length of the car on the drawing if the actual car measures 4 m?
marusya05 [52]

Answer:

The answer is 8cm.

Step-by-step explanation:

The scale drawing uses a ratio of 2cm:1m. If the actual car is 4 meters long, you would multiply 2 by 4 to get 8cm. The actual new ratio on the map is 8cm:4m, which is equivalent to the one in the problem.

3 0
3 years ago
Read 2 more answers
Evaluate<br> ab-cd<br> /2a+1<br><br> when a = 5, b = -4, c = 1, and d = 13
makvit [3.9K]

Step :

5 x (-4) - 1 x 13    -20 - 13  -33

--------------------- = ---------- = -----

     2 x 5 + 1            11          11

Ans ; -33/11

3 0
2 years ago
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