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4 years ago

15

The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle

to reach Saturn from Earth. Show your work. Convert your answer into scientific notation if necessary.
(ugh...to much work for me to do on my own XP"

1 answer:

KatRina [158]4 years ago

7 0

Do you have the distance from the Earth to Saturn?

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Triangle PQR is shown below.

Katarina [22]

Answer: OPTION B.

Step-by-step explanation:

By definition, reflection is a kind of transformation in which the lengths do not change.

As you can see in the figure, the length of PR is 8 units. Then, keeping on mind the definition, when the triangle PQR was reflected across the y-axis, the triangle P'Q'R' obtained has the same lenghts as the triangle PQR.

Therefore, you can conclude that the lenght P'R' would be: 8 units.

4 0

4 years ago

PRE-ACTIVITIES/PRE-TEST

MrRissso [65]

Answer:

Step-by-step explanation:

★1. The farmers' crops are destroyed when there are heavy rains which

result to flooding.

★2. Loss of lives and damage to properties happen due to fiooding and

landslides

★3. Thousands of families become homeless.

•4. Fishermen can go fishing and abundant catch awaits them.

★5. The power supply is cut off for several days as falling trees destroy the

electric posts and power lines.

★6. People lose their homes and means of livelihood.

•7. The prices of basic commodities become cheaper.

•8. People visit malls for shopping.

•9. A few houses of first-class materials are partially damaged,

•10. Children play on the playground.

5 0

3 years ago

Find an m > 0 such that the the equation x^4−(3m+2)x^2+m^2=0 has four real solutions that form an arithmetic sequence.

Aleonysh [2.5K]

Answer:

The value of m is 6.

Step-by-step explanation:

Here, the given equation,

$x^4-(3m+2)x^2+m^2=0$

$x^4+0x^3-(3m+2)x^2+0x+m^2=0$

Let the roots of the equation are a-3b, a-b, a+b and a + 3b, ( they must be form an AP )

Thus, we can write,

$a-3b+a-b+a+b+a+3b=\frac{\text{coefficient of }x^3}{\text{coefficient of }x^4}$

$=\frac{0}{1}=0$

$\implies a=0----(1)$

$(-3b)(-b)+(-b)(b)+(b)(3b)+(3b)(-3b)+(-b)(3b)+(-3b)(b)=\frac{\text{coefficient of }x^2}{\text{coefficient of }x^4}}$

$=\frac{-3m-2}{1}$

$3b^2-b^2+3b^2-9b^2-3b^2-3b^2=-3m-2$

$-10b^2=-3m-2$

$\implies b^2=\frac{3m+2}{10}-----(2)$

$(-3b)(-b)(b)(3b)=\frac{\text{Constant term}}{\text{coefficient of}x^4}= m^2$

$9b^4=m^2$

$9(\frac{3m+2}{10})^2=m^2$

$9(\frac{9m^2+4+12m}{100})=m^2$

$81m^2+36+108m=100m^2$

$-19m^2+108m+36=0$

$19m^2-108m-36=0$

$19m^2-114m+6m-36=0$

$19m(m-6)+6(m-6)=0$

$(19m+6)(m-6)=0$

$\implies m=-\frac{6}{19}\text{ or }m=6$

But m > 0,

Hence, the value of m is 6.

4 0

3 years ago

How do you simplify the equation useing like terms: 8r+12p-7-3p

stiks02 [169]

Answer:

8r+9p-7

Step-by-step explanation:

12p-3p=9p

8r+9p-7

7 0

3 years ago

Find the percent of error if the estimate is $230 and the actual amount is $245. round to the nearest whole percent.

qwelly [4]

Percentage error = 245-230/245 * 100 = 15/245 * 100 = 6.12%

After rounding off, it would be 6%

5 0

3 years ago