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3 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]3 years ago

7 0

Do you have the distance from the Earth to Saturn?

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What adds -23 and multiplied to 60

kari74 [83]

Answer:

-20 and -3

Step-by-step explanation:

-20*-3= 60 (remember, two negatives multiplied equals a positive)

-20+-3=-23

Hope this helps!

7 0

3 years ago

Find the sum and product of the roots of each equation of <img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D" id="TexFormula1" title

vlada-n [284]

Answer: Sum (b) = -4

Product (c) = 4

<u>Step-by-step explanation:</u>

In the quadratic equation ax² + bx + c

b represents the sum of the roots
c represents the product of the roots

2x² - 8x + 8 = 0

2(x² - 4x + 4 = 0)

↓ ↓

b= -4 c= 4

5 0

3 years ago

Please i need an answer urgently. Sum of 3 terms are 252, first term is 192. Find common ratio

Viefleur [7K]

Answer:

$r=\frac{1}{4}\\\\r=-\frac{5}{4}$

Step-by-step explanation:

<u>Geometric Sequences</u>

The geometric sequence is given as:

$a_1, a_1r, a_1r^2, a_1r^3,..., a_1r^{n-1}$

Where n is the number of the term, n≥1, and r is the common ratio.

The sum of n terms of the geometric sequence is given by:

$\displaystyle S_n=a_1\frac{r^n-1}{r-1}$

We are given: S3=252, a1=192, thus substuting:

$\displaystyle 252=192\frac{r^3-1}{r-1}$

Dividing by 12:

$\displaystyle 21=16\frac{r^3-1}{r-1}$

Recall that:

$r^3-1=(r-1)(r^2+r+1)$

Substituting:

$\displaystyle 21=16\frac{(r-1)(r^2+r+1)}{r-1}$

Simplifying:

$21=16(r^2+r+1)=16r^2+16r+16$

Rearranging:

$16r^2+16r+16-21=0$

16r^2+16r-5=0

Rewriting:

$16r^2-4r+20r-5=0$

Factoring:

$4r(4r-1)+5(4r-1)=0$

$(4r-1)(4r+5)=0$

Solving:

$r=\frac{1}{4}\\\\r=-\frac{5}{4}$

Both solutions are valid

6 0

3 years ago

Which pair of angle measures satisfy the condition sin J = cos K?

kipiarov [429]

Sin J = cos K
sin J = cos (90 - J)

So, K = 90 - J

Therefore, 60 deg, 30 deg satisfy the condition sin J = cos K.

5 0

3 years ago

A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?

aliina [53]

Answer:

41 units

Step-by-step explanation:

Rectangles have right angles, so we can use Pythagorean theorem to find the diagonal.

c² = a² + b²

c² = 9² + 40²

c² = 81 + 1600

c² = 1681

c = 41

4 0

3 years ago