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9514 1404 393

Answer:

  a little more than 27

Step-by-step explanation:

Estimates are generally made by approximating the numbers using 1 or 2 significant digits. The idea is to do as much mental arithmetic as possible, not involving a calculator. Here, the estimate can be based on rounding the values like this:

  √9.7 +3.88 × 6.21 ≈ √9 +4 × 6 = 3 +24 = 27 . . . estimated expression value

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Another aspect of estimating is determining the approximate error involved.

We know that √9.7 will be more than √9 = 3, and less than √10 ≈ 3.16*. Its real value may be about 3.1.

3.88 is less than 4 by 0.12, or 3%. 6.21 is greater than 6 by .21, or 3.5%. So, the estimated product of 24 will be on the order of -3% +3.5% = 0.5% too low. Of course 1% of 24 is 0.24, so 1/2% will be about 0.12. Now, we are able to estimate that our estimate is about 0.2 units too low. (The actual value of the expression is an irrational number that rounds to about 27.2093.)

_____

* The value of 3.16 for √10 is not so hard to remember, because it is just slightly more than π ≈ 3.14.

__

Additional comment

Small percentages can usually be added and subtracted without introducing too much additional error. (The smaller the percentages, the less additional error is introduced.) Here, the error in our estimated product can be more accurately determined by computing ...

  (1 -3%)(1 +3.5%) = 1 +0.5% -0.105% = 1 +0.395% . . . . . . (not 1 +0.5%)

That is, our product's actual value is 24.0948, not 24.12.

Answer:

angle one is 62 degrees

Step-by-step explanation:

3x+2+5x+18=180

x=20

5*20+18=118

180-118=62

Answer:

c .            

Step-by-step explanation:

Answer:

I think it would be b. [1,5)

Step-by-step explanation:

Answer:

13) began with 34

Step-by-step explanation:

20 cards replaced and now have 37

37-20=17

17 is half of the baseball cards

17x2= 34 which is what you began with

Answer:

60 degrees

Step-by-step explanation:LARGE ANGLE...60-degrees

So, we have x + 2x = 90. Solving for x, we get x = 30. Since the first angle was called x, that means it's measurement is 30°. The second angle, 2x, is just twice the first angle, so its measurement is 60°

9514 1404 393

Answer:

  It is incorrect. The product is 3/2.

Step-by-step explanation:

The factored form of a quadratic with roots p and q can be ...

  a(x -p)(x -q) = ax² -a(p+q) +apq

Then the product of the roots is the ratio of the constant to the leading coefficient:

  pq = (apq)/a

In the given quadratic, that product is ...

  pq = 3/2 . . . . . . not 5/2

The statement that the product of roots is 5/2 is incorrect. That value does not have the required relationship to the coefficients of the quadratic.

Answer:

72 Keychains

Step-by-step explanation:

120 feet = $3.25

divide 120 by 3.25 to find how much string can be bought with $1. The result is 36.923. Then multiply that number by the number of dollars allotted to buying string. 8*36.923= 295.384. This is the total number of feet of string they have. They use 1 foot for each key chain so they can make 295 keychains based on how much string they have.

35 beads = $2.59

Divide 35 by 2.59 to find how many beads can be bought with $1. The result is 13.514. Then multiply that number by the number of dollars allotted to buying beads. This comes out to 364.878. This means She can buy 364 beads. Each Key chain needs 5 beads so divide 364/5 getting a total of 72 keychains.

Since there aren't enough beads to make any more than 72 keychains, they can make a total of 72 keychains (even though there is extra string)

Answer:

$28

Step-by-step explanation:

So y=mx+b is still prevalent here even if it's an inequality. Meaning your slope AND y-intercept can help you. Even if it's in ax+by=c you can easily get the y alone into slope-intercept.

y<_3x+5 for example. For one, it is y is less than or equal to 3x+5. So the line shouldn't be dotted. So that leaves us with the two far-right graphs to look at. 5 is our y-intercept in the equation. So look at our graph and see which one has the line passing through 5. They both do. Okay, well we can still use our sign, it shows that y is LESS than 3x+5. So the shaded blue part should be on the right. If it was the other way around it would be the left. So our graph should be the far right for this equation.

Hope this helps... I know it's kind of messy. If you need any more help let me know. But I hope I outlined what to look for.

Answer:

what are the options? I'll say it in the comments

Answer:

24% of a hundred is 24

Step-by-step explanation:

use fractions to help you solve this.

Answer:

The rate of change of the surface area of the sphere is;

-48π cm^2/s

Step-by-step explanation:

Here, we want to calculate dA/dt

Mathematically that will be;

dA/dt = dA/dr * dr/dt

From the question;

dr/dt = -2 cm/s

dA/dr = 8πr

So dA/dt will be;

-2cm/s * 8πr = -16 πr cm/s where r is 3 cm

So;

dA/dt = -48π cm^2/s

Using implicit differentiation, it is found that the rate of change of the surface area of the sphere is of -151 square centimetres per second.

The surface area of an sphere of radius r is given by:

[tex]S = 4\pi r^2[/tex]

Applying implicit differentiation, the rate of change is given by:

[tex]S = 8\pi r\frac{dr}{dt}[/tex]

For this problem:

The rate of change is of:

[tex]S = 8\pi(3)(-2) = -48\pi = -151[/tex]

The rate of change of the surface area of the sphere is of -151 square centimetres per second.

A similar problem is given at https://brainly.com/question/11496075

Answer:

130

Step-by-step explanation:

325 ÷ 2.5

= 130

325 divided by 2.5 is equal to 130

To divide 325 by 2.5, we can simplify the calculation by multiplying both the dividend and the divisor by 10 to eliminate the decimal point.

Thus, 325 divided by 2.5 is equivalent to (325 * 10) divided by (2.5 * 10), which becomes 3250 divided by 25.

Dividing 3250 by 25 gives us the quotient of 130.

Therefore, 325 divided by 2.5 is equal to 130. By multiplying both the dividend and divisor by 10, we effectively remove the decimal point and simplify the division process.

Learn more about division here

http://brainly.com/question/231633

#SPJ6

Answer:

Using interval notation, it is described as increasing on the interval (1,3). Decreasing: A function is decreasing, if as x increases (reading from left to right), y decreases.

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

21 is the constant of proportionality.

Answer:

the answer is A

Step-by-step explanation:

Answer:

654.9

hope this can help

Answer: A.  A liter is used to measure Volume

Answer:

Slope is -2/5 and y-intercept is 4

Step-by-step explanation:

Because of y=mx+b

b is always going to be the y-intercept and mx is going to be the slope.

Answer:

Slope is -2/5 and y-intercept is 4

\

Because of y=mx+b

b is always going to be the y-intercept and mx is going to be the slope.

Step-by-step explanation:

This is because  y=mx+b

Answer:

51

Step-by-step explanation:

Answer:

Julio's number is 24

Step-by-Step Explanation:

1. 24 - 11 = 13

2. 13 · -6 = -78

Answer:

26

Step-by-step explanation:

Answer:

Ok $1.19 tip.

Step-by-step explanation:

So 7.95 (0.15)= 1.1925

round to nearest dollar, $1.19

Answer:

1.1925 dollars

Step-by-step explanation:

1% of 7.95 is 0.0795

0.0795 x 10 = 0.795

0.0795 x 5 = 0.3975

15% = 1.1925 dollars

Answer:

ls help, Ill give u brainliest

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Edge 2020

Answer:

I am going to say 6 , please let me know if I am wrong :)

Answer:  Drawing a blue marble and a yellow marble at the same time from a bag of marbles is the example of dependent events.

Step-by-step explanation: When the cards are replaced, or flipping coins or rolling dice, the outcome of the first event does nor affect the probability of the next event.

Drawing two marbles at the same time is essentially the same as drawing one and Not replacing it and then drawing the second one. The number of marbles left affects the probability.

Answer:

A

Step-by-step explanation: