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mixer [17]
4 years ago
11

78.04 divided. By 8 to the nearest hundredths

Mathematics
2 answers:
mel-nik [20]4 years ago
8 0
It would actually be 9.76 because the second 5 would make the first one round up.
hjlf4 years ago
6 0
9.75
78.04 / 8 =9.755
The answer is only 9.75 because of the question says nearest hundredths.
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convert the measurement 5,000 yards (There are 1.09 yards in a meter.) A. 4000 m B. 6000 m C. 5 km D. 500 m
Ray Of Light [21]

Answer:

A

Step-by-step explanation:

If 1.09 yards is in a meter, then there are 4572 meters in 5000 feet.

A is the correct answer. Hope this helps!

3 0
3 years ago
The green triangle is a dilation of the red triangle with a scale factor of s=1/3 and the center of dilation is at the point (4,
klasskru [66]

Given:

The scale factor is s=\dfrac{1}{3} and the center of dilation is at the point (4,2).

Red is original figure and green is dilated figure.

To find:

The coordinates of point C' and point A.

Solution:

Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

(x,y)\to (k(x-a)+a,k(y-b)+b)

According to the given information, the scale factor is \dfrac{1}{3} and the center of dilation is at (4,2).

(x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)            ...(i)

Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using (i), we get

C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)

C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)

C(-2,11)\to C'(-2+4,3+2)

C(-2,11)\to C'(2,5)

Therefore, the coordinates of Point C' are C'(2,5).

We assumed that point A is A(m,n).

Using (i), we get

A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)

From the given figure it is clear that the image of point A is (8,4).

A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)

On comparing both sides, we get

\dfrac{1}{3}(m-4)+4=8

\dfrac{1}{3}(m-4)=8-4

(m-4)=3(4)

m=12+4

m=16

And,

\dfrac{1}{3}(n-2)+2=4

\dfrac{1}{3}(n-2)=4-2

(n-2)=3(2)

n=6+2

n=8

Therefore, the coordinates of point A are (16,8).

5 0
3 years ago
If y=(x^2-4)^5(3x+4)^4
alexira [117]

Answer:

y'=2(3x+4)^3(x^2-4)^4(21x^2+20x-24)

Step-by-step explanation:

y=(x^2-4)^5(3x+4)^4

y'=[\frac{d}{dx}(x^2-4)^5](3x+4)^4+(x^2-4)^5[\frac{d}{dx}(3x+4)^4]

y'=10x(x^2-4)^4(3x+4)^4+(x^2-4)^5(12(3x+4)^3)

y'=10x(x^2-4)^4(3x+4)^4+12(x^2-4)^5(3x+4)^3

y'=2(3x+4)^3(x^2-4)^4(21x^2+20x-24)

5 0
2 years ago
if sofia has 40,000 dresses and she needs to put them in 1,000 boxes equally, how many dresses will fit in each box
Margaret [11]

Answer:

40 dresses will fit in each box

Step-by-step explanation:

40,000 ÷ 1,000 = 40

Hope this helps

4 0
3 years ago
Read 2 more answers
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Goshia [24]

Answer:

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logx^{n} = nlogx

log_{b} b = 1

Then

log_{x} x^{9}

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= 9

4 0
3 years ago
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