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oksano4ka
2 months ago
9

Round to the nearest ten thousand 905154

Mathematics
1 answer:
lawyer [12.5K]2 months ago
5 0
You are rounding 905,154 to the nearest ten-thousand. The ten-thousands digit in this number is highlighted below:

905,154

To round 905,154 to the nearest ten-thousand, follow these steps:

The digit in the ten-thousands position is the 0. Look at the digit directly to its right — the thousands place, which is a 5.

Because that digit is 5 (which is ≥ 5), increase the ten-thousands digit by one:

Add 1 to the 0 in the ten-thousands place, making it a 1.

Then change every digit to the right of that position into zeros.

The rounded number becomes: 910,000.

So, 905,154 rounded to the nearest ten-thousand is 910,000.

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Two birds sit at the top of two different trees. The distance between the first bird and a birdwatcher on the ground is 32 feet.
Svet_ta [12734]

Response:

Step-by-step breakdown:

When you sketch that diagram (great description, by the way!), what you essentially have is a right triangle with a base of 32 and a hypotenuse of 45. The right angle resides at one of the base's ends, and x represents the vertex angle. We must find this vertex angle first to determine the angle of depression from the second bird to the watcher. The side measuring 32 is opposite to angle x, with 45 being the hypotenuse; hence, the trigonometric relation we need is sine:

sin(x)=\frac{32}{45} and

sin(x) =.711111111

Go to your calculator, press the 2nd key followed by the sin key, and your display will show:

sin^{-1}(

then, enter in your decimal.711111111 and hit equals. You should arrive at an angle of 45.325. That angle is x. However, that's not the angle of depression. The angle of depression is the complementary angle to x.

Angle of depression = 90 - angle x and

Angle of depression = 90 - 45.325, resulting in

Angle of depression = 44.67 or 44.7 degrees.

8 0
18 days ago
P=100a÷t solve for a
tester [12383]

a=1/100pt is the right solution. Initially, you need to multiply both sides of the equation by t, which results in ⇒ pt=100a. After that, inverting the equation gives ⇒100a=pt. Alternatively, dividing both sides of the equation by one hundred (100) also leads us to \frac{100a}{100}=\frac{pt}{100}. Ultimately, the final answer is a=1/100pt is the result. I hope this offers assistance! Thank you for asking your question, and enjoy your day. -Charlie

8 0
2 months ago
Read 2 more answers
Roxy has received the following quiz scores so far this year: 75, 88, 90, 96, 98, 100 Which box plot represents this data?
Svet_ta [12734]
75,88,90,96,98,100

minimum = 75
Q1 = 88.....this indicates the start of the box
Q2 (the median) = (90 + 96) / 2 = 186/2 = 93....this signifies the line within the box
Q3 = 98....this indicates the end of the box
maximum = 100
                 
                 88_93______98
75_______|      |              |___100
                   |___|_______|
3 0
1 month ago
Read 2 more answers
A farmer estimates that he has 9,000 bees producing honey on his farm. The farmer becomes concerned when he realizes the populat
Inessa [12570]
To derive the function that characterizes the bee population:

1) Initially, there are 9,000 bees in the first year.

2) In the second year, a reduction of 5% occurs => 9,000 - 0.05 * 9,000 = 9,000 * (1 - 0.05) = 9,000 * 0.95

3) Each subsequent year sees a 5% decline => 9,000 * (0.95)^(number of years)

4) Let x represent years and f(x) signify the bee count, then: f(x) = 9,000 (0.95)^x.

Evaluation of the claims:

<span>1) The function f(x) = 9,000(1.05)x applies to the scenario.

FALSE: WE ESTABLISHED IT AS f(x) = 9,000 (0.95)^x

2) The function f(x) = 9,000(0.95)x applies to the scenario.

TRUE: THIS IS THE RESULT OF OUR PRIOR ANALYSIS.

3) After 2 years, the farmer projects approximately 8,120 bees will be left.

Calculating:

f(2) = 9,000 * (0.95)^2 = 9,000 * 0.9025 = 8,122

Thus, this statement is TRUE

4) After 4 years, the farmer can predict there will be roughly 1,800 bees left.

f(4) = 9,000 * (0.95)^4 = 9,000 * 0.81450625 = 7,330

This statement is therefore FALSE

5) The domain values contextual to this situation are restricted to whole numbers.

FALSE: DOMAIN VALUES INCLUDE ALL NON-NEGATIVE REAL NUMBERS. FOR INSTANCE, THE FUNCTION IS VALID AT X = 5.5

6) The range values pertinent to this situation are restricted to whole numbers.

TRUE: FRACTIONS OF BEES CANNOT EXIST.
</span>
3 0
1 month ago
Read 2 more answers
A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each
lawyer [12517]

Answer:

The artist begins to profit when n > 8.18

That means the quantity of necklaces must exceed 8.18.

Step-by-step explanation:

Given

let n represent the number of necklaces

booth fee= $135

The expense for materials per necklace = $4.5n

the overall selling price for all necklaces = $12n

total costs= booth fee + material costs = $135 + 4.5n

profit = selling price - total costs

12n > 135 + 4.50n

By solving for n, we find

12n=135 + 4.50n

12n + 4.5n = 135

16.5n = 135

n = 135/16.5

n = 8.18

Hence, the artist achieves profits when n > 8.18.

8 0
2 months ago
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