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3 years ago

How should the decimal point in 8.403 be moved to determine the product of 10,000 × 8.403?

Mathematics

1 answer:

Troyanec [42]3 years ago

3 0

Answer:

84,030.00 (Move the decimal point 4 to the right)

Step-by-step explanation:

When multiplying, move the decimal to the right! When dividing, move the decimal to the right!

Since, 10,000 has 4 zeros, we will want to move the decimal point four places to the right!

Hope this helps! :)

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At a gig 0.4 of the audience were female. If there were 100 more male audience members than female, how many were there in the a

pickupchik [31]

Number of females = f
Total number of people in audience = n

0.4n = f
f + (f+ 100) = n
2f + 100 = n

Find n:
f = 0.4n --> Replace f with 0.4n in the equation 2f +100 = n

2(0.4n) + 100 = n --> Multiply out the brackets
0.8n + 100 = n --> Subtract 0.8n from both sides
100 = 0.2n --> To get n, multiply both sides by 5
n = 500

There were 500 people in the audience.

3 0

3 years ago

Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = 4x and y = x2/4 . Find V by slicin

aliya0001 [1]

Answer:

Step-by-step explanation:

Consider the graphs of the $y = 4x$ and $y = \frac{x^{2} }{4}$ .

By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.

$4x = \frac{x^{2} }{4} \\ x^{2} = 16x \\ x^{2} - 16x = 0 \\ x(x-16) = 0$ then $x=0$ o $x=16$ . Therefore the integration limits are:

$y = 4(0) = 0$ and $y = 4(16) = 64$

The inverse functions are given by:

$x = 2 \sqrt{y}$ and $x = \frac{y}{4}$ . Then

The volume of the solid of revolution is given by:

$\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2} dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\ dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}$

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4 years ago

At a local high school, 30% of the students are on a school sports team, 25% take at least one Advanced Placement (AP) class, an

gogolik [260]

Answer:

not sure but 30 over 100 for the sports and 10 over 100 for at least one ap class

Step-by-step explanation:

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hurry

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3 years ago

Can some one give me a step by step with all the work and answer ??? 8n + 7 = 31

choli [55]

I presume you're trying to find n, so first remove the 7 from each side.

8n + 7 -7 = 31-7
=> 8n = 24
Then divide both sides by 8, as you want only n

8n/8 = 24/8
n = 3

4 0

4 years ago

Read 2 more answers

Right triangle XYZ has right angle Z. If the sin(X)=1213<br> , what is the cos(X)

AlekseyPX

Given:

Right triangle XYZ has right angle Z.

$\sin(x)=\dfrac{12}{13}$