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3 years ago

If you were to round 897.234 to the hundredths place, what would be the

Mathematics

1 answer:

koban [17]3 years ago

4 0

Answer:

897.23

Step-by-step explanation:

The decimal places start at the tenths:

00.tenths, hundredths, thousandths

So you would need to end up with only two numbers after the decimal.

To round, if a number is 4 or less, leave the next number as it is.

Ex: 2.32 → 2.3 Rounding to the tenths

78.614 → 78.6 Rounding to the tenths

If the number is 5 or higher, round up one number

EX: 37.76 → 37.8 Rounding to the tenths

6.389 → 6.4 Rounding to the tenths

Our number, 897.234, needs to be rounded to the hundredths place, so use the number to its right to determine the rounded value. The number 4 means that the hundredths place will remain the same, so the new value is:

897.23

:Done

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A square purple rug has a orange square in the center. The side length of the orange square is x inches. The width of the purple

Liono4ka [1.6K]

Answer:

578 + 48 square inches

Step-by-step explanation:

The computation of the area of the purple band is as follows:

Area of the green square = side^2 = x^ square inches

And, the area of the orange square = side^2

The side would be = = 12 + 12 +x = 24 + x

And, now the area would be = (x + 24)^2

Now the area of the orange band is

= Area of the orange square area of the green square

= (x + 24)^2 - x^2

= x^2 + 24^2 + 48 - x^2

= 578 + 48 square inches

4 0

2 years ago

The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp. Jackie wants to manipulate the

Sauron [17]

The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp.

calculates three times a year, not just once a year.

$f(x)= 4(4)^x$

3 times a year

so x becomes 3x

$f(x)= 4(1+r)^{3x}$

$4(4)^x=4(1+r)^{3x}$

Take log on both sides

$log(4)^x=log(1+r)^{3x}$

Use log property and move exponent before log

$xlog(4)=3xlog(1+r)}$

Divide both sides by x

log 4 = 3 log(1+r)

Solve for '1+r'

log 4 = log(1+r)^3

Remove log from both sides

4 = (1+r)^3

take cube root on both sides

1.584740= 1+r

1+r = 1.59

$f(x)= 4(1+r)^{3x}$

so equation becomes

$f(x)= 4(1.59)^{3x}$

1+r = 1.59

subtract 1 from both sides

So r= 59 = 59%

So growth factor is 59%

Answer is option C

5 0

3 years ago

I'm being Timed please hurry.

koban [17]

Answer:

D. 45 degree counterclockwise rotation

Step-by-step explanation: :

The original image is triangle TUV and it has been rotated counter clockwise to form triangle T'U'V' using the origin as the center of rotation. . The rotation is 45 degrees rotation.

Hence, option B is correct.

Plz mark brainliest!

6 0

3 years ago

What is 2 5/8 x 2/5

elena-14-01-66 [18.8K]

Answer:1 1/20

Step-by-step explanation:

2 5/8 x 2/5

(8x2+5)/8 x 2/5

21/8 x 2/5

(21 x 2) ➗ (8 x 5)

42 ➗ 40

42/40=21/20=1 1/20

4 0

2 years ago

The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem

Naily [24]

Answer: 1406

Step-by-step explanation:

Given Table :

Admissions Probability

1,040 0.3

1,320 0.2

1,660 0.5

Now, the expected number of admissions for the fall semester is given by :-

$E(x)=p_1x_1+p_2x_2+p_3x_3\\\\\Rightarrow\ E(x)=0.3\times1040+0.2\times1320+0.5\times1660\\\\\Rightarrow\ E(x)=1406$

Hence, the expected number of admissions for the fall semester = 1406

3 0

3 years ago