Round to the given place: 256,035 (thousands)

Answers

Answer 1

Answer: So,

When rounding to the nearest thousand, look at the number in the hundreds place. If it is greater than or equal to 5, round up. If not, round down.

256,035

The hundreds place is less than 5, so we round down.

256,035 --> 256,000

Answer 2

Answer: 256,000. The 6 is in the thousandths place, and since the 0 in the hundredths place is less than 5, you do not round up, keeping the 256,000 as opposed to 257,000.

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There are 35 students in Zacks class.Out of the 35,16 prefer chocolate ice cream to vanilla (46%),while 9 prefer vanilla to chocolate (26%).What does this mean?

Answers

D) 46% of the students like chocolate ice cream better than they like vanilla ice cream.

If you prefer something or someone over another, then that normally means you like it better than the other.

D) is the correct answer because in this description it doesn't say that any of the students dislike a type of ice cream, just that they don't prefer it.

Given the parent functions f(x) = log10 x and g(x) = 3x − 1, what is f(x) • g(x)?

Answers

we are given with two functions f(x) = log10 x and g(x) = 3x − 1 and is asked for the product of the two functions expressed as f(x) • g(x). The answer then is simply the product of the two functions, that is log x * (3x - 1). log 10 x is equal to log x.

Answer:

$\log_(10)x \cdot (3x-1)$ or

$3x \log_(10) x -\log_(10) x$

Step-by-step explanation:

Given the parent function:

$f(x) =\log_(10) x$ and $g(x)=3x-1$

we have to find $f(x) \cdot g(x)$

$f(x) \cdot g(x)$

⇒ $(\log_(10)x) \cdot (3x-1)$

⇒ $\log_(10)x \cdot (3x-1)$

we can write this as:

$3x \log_(10) x -\log_(10) x$

Therefore, the result of $f(x) \cdot g(x)$ we get, $\log_(10)x \cdot (3x-1)$ or $3x \log_(10) x -\log_(10) x$

What is the length of segment ol?

Answers

Answer:

The length of segment of OL is 22.4 cm

Option 3 is correct

Step-by-step explanation:

In ΔMNL, NM||PO

If two sides are parallel then their corresponding sides are in ratio.

Basic Proportionality Theorem: If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in same ratio.

Therefore,

$(OL)/(OM)=(PL)/(NP)$

$(x+4)/(8)=(14)/(5)$

$5(x+4)=14\cdot 8$

$5x+20=112$

$5x=92$

$x=18.4$

OL = x+4

OL = 18.4 + 4 = 22.4 cm

Hence, The length of segment of OL is 22.4 cm

Ok, so to do this problem you have to set up a proportion. You are given x+4, 14, 8, and 5. The proportion is as follows:

X+4 8
----- = ---- Now cross multiply to get 5x+20=112. 112-20= 92, and
14 5 92/5= 18.4. Your answer is A, 18.4 cm.

Hope this helps! :)

your fixed expenses are $1,235.78/month. You want to save 5 months' worth for an emergency fund over a year's time. How much must you save each month?

Answers

The correct answer is $514.91

You must save $514.90 a month

(a2 - b)3 Evaluate the expression if a = -2 and b = 5.

Answers

Answer: -1

Step-by-step explanation: I took the quiz

Answer:

B) -27

Step-by-step explanation:

(-2^(2)-5)3

1.What basic trigonometric identity would you use to verify that cot x sin x = cos x? . . a. cos^2x+sin^2x=1.
b. cot x= cosx/sinx.
c. cos x= 1/sec x.
d. sin x= 1/csc x. .
2.What basic trigonometric identity would you use to verify that sin^2x+cos^2x/cosx= sec x?.
a. sin x=1/csc x.
b. 1+cot^2x=csc^2x.
c. cos^2x+sin^2x=1.
d. cos x= 1/sec x

Answers

1 ) cot x * sin x = cos x
(cos x / sin x) * sin x = cos x
cos x = cos x
Answer: B ) cot x = cos x / sin x
2 ) ( sin² x + cos² x ) / cos x = sec x
1/cos x = sec x
sec x = sec x
Answer: C ) cos² x + sin² x = 1

Answer:

Step-by-step explanation:

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