Write 1,762 in scientific notation.
A. 1.762 x 10>4
B. 1.762 x 10>3
C. 17.62 x 10>3
D. 17.62 x 10>1

Answer: Approximately 0.78388 seconds

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Explanation:

Plug in t = 0 to find that

h = -16t^2 - 64t + 60

h = -16(0)^2 - 64(0) + 60

h = 60

The starting height is 60 feet.

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Now plug in h = 0 and solve for t.

h = -16t^2 - 64t + 60

0 = -16t^2 - 64t + 60

-16t^2 - 64t + 60 = 0

From here use the quadratic formula

[tex]t = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t = \frac{-(-64)\pm\sqrt{(-64)^2-4(-16)(60)}}{2(-16)}\\\\t = \frac{64\pm\sqrt{7936}}{-32}\\\\t = \frac{64+\sqrt{7936}}{-32} \ \text{ or } \ t = \frac{64-\sqrt{7936}}{-32}\\\\t \approx -4.78388 \ \text{ or } \ t \approx 0.78388 \\\\[/tex]

We ignore the negative t value as a negative time doesn't make sense.

The only practical answer is roughly t = 0.78388 seconds.

Answer:

53

Good luck with your quiz/test :D

Answer:

53

Step-by-step explanation:

Answer:

1) ∫ x² e^(x) dx

4) ∫ x cos(x) dx

Step-by-step explanation:

To solve this problem, eliminate the choices that can be solved by substitution.

In the second problem, we can say u = x², and du = 2x dx.

∫ x cos(x²) dx = ∫ ½ cos(u) du

In the third problem, we can say u = x², and du = 2x dx.

∫ x e^(x²) dx = ∫ ½ e^(u) du

Answer:

$127,618,279.99

Step-by-step explanation:

Adjusted for inflation, $163,882,660.00 in 1993 is equal to $127,618,279.99 in 1987.

Annual inflation over this period was 4.26%.

Answer:

x >100/17

plz mark brainliest

Answer:

-150

Step-by-step explanation:

Answer:

the answer is b- 1440

Step-by-step explanation:

hope this helps

Answer:

b

Step-by-step explanation:

Answer:

Hey there!

50 miles = 1 hour

x miles = 2.5 hours

50/1= x/2.5

x=2.5x50

x=125

The car can go 125 miles.

Hope this helps :)

Answer:

125miles

Step-by-step explanation

distance=speed *time

d=50*2.5

d=125m

Answer:

84

Step-by-step explanation:

The interior sum of a pentagon is 540 degrees. If you add up all the given angles together, then it will add up to be 456. subtract 456 from 540, and you'll get your answer, which is 84.

Answer:

7

Step-by-step explanation:

1) for '8'; '3'; and '10':

8/2+3+3=10

2) for '2'; '5' and '11':

2/1+5+5=11

3) for '6'; '2' and '?':

6/2+2+2=7

Answer:

no of student take speech at college = 1/3*7533=2511

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope = -9

y-intercept = 5

In [tex]y = mx +b[/tex] ;

m = slope

b = y-intercept

So just replace -9 for m and 5 for b in slope intercept form;

[tex]y = -9x +5[/tex]

Answer:

5.6 cm

Step-by-step explanation:

Given that a steel woodworking blade is created from a rectangular mold with vertices at (0, 0), (0, 1), (4, 0), and (4, 1). (All coordinates are in centimeters). At each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate. 

The x axis or the horizontal length will be L = (1 - 0)^2 + ( 0 - 0 )^2

L = 1 cm

The y axis or the vertical length will be

L = sqrt ( [ 4-0]^2 + [0-0]^2)

L = Sqrt(16)

L = 4 cm

Given that at each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate.

That is,

Thickness = 2 × 4 = 8 mm

The height of the balance point of the blade will be;

Height = 8 mm + 4 cm + 8 mm

Height = 0.8 + 4 + 0.8

Height = 5.6 cm

Note that the thickness will be added to both the top and the bottom of the blade.

Answer:

$937

Step-by-step explanation:

P(1-20/100)=750- 1 is the object the you take away the percentage that is in

fraction form

P(1-.2)=75-take it from fraction form to decimal form

P(.8)=750-this is the final product of the equation above

750/.8-Take the current price and the decimal and divide

75000/80- take the .8 and add two 0's to get the whole accurate amount

937.5-Price before the price fell

Sorry I'm not the best at explaining things hoped this helped!

Answer:

$9.44

Step-by-step explanation:

51.45 x 0.18 = $9.44

Answer:

Step-by-step explanation:

(15 -5)/(8 - 3)= 10/5= 2

y - 5 = 2(x - 3)

y - 5 = 2x - 6

y = 2x - 1

Answer:

The values of x for the expression is undefined is -3 or 9

Step-by-step explanation:

Given function,

[tex]f(x) = \frac{X +\ 6}{X^2 - 6X-27}[/tex]

The values of x for which the expression is undefined is obtained when the denominator is equal to zero, from the expression it is given by;

x² - 6x - 27 = 0

Factorize the equation

x² + 3x - 9x - 27 = 0

x (x + 3) -9(x + 3) = 0

(x + 3)(x - 9) = 0

x = -3   or  x = 9

Therefore, the values of x for the expression is undefined is -3 or 9

Answer:

-19n^4 - 8m^2 - 12m^4n

Step-by-step explanation:

8m^2 + 12m^4n + 9mn

-

19n^4 9mn

------------------------------------------------------------------------

-19n^4 - 8m^2 - 12m^4n

Answer:

The answer is B.) -31m^4n-8m^2

Answer:

x=3

Step-by-step explanation:

15 – 2x=3x

Add 2x to each side

15 – 2x+2x=3x+2x

15 = 5x

Divide each side by 5

15/5 = 5x/5

3 =x

Answer:

3

Step-by-step explanation:

15 - 2x = 3x

Add 2x to both sides

15 = 5x

Divide 5 to both sides

3 = x

Best of Luck!

Answer:

-82.8

Step-by-step explanation:

15.45 + ( − 98.25)

15.45 - 98.25

= -82.8

Since the two terms are of opposite signs, you have to subtract and use the sign of the greater term (positive or negative)

Step-by-step explanation:

You can let me know, but i dont think -3x² is supposed to be squared in this question because then it would make it unsolvable.

5x-15

can be simplified to 5(x-3)

x²-3x

can be simplified to x(x-3)

Then u rewrite it (5 + x)(x - 3)

Answer:

(17.75, 110.32)

Step-by-step explanation:

The sample mean is 64.03, and the standard deviation is 15.43.

The population is normally distributed, so 99.5% confidence is ±3 standard deviations.

The confidence interval is therefore:

(64.03 − 3 × 15.43, 64.03 + 3 × 15.43)

(17.75, 110.32)

The 99.5% confidence interval will be equal to  (17.75, 110.32).

Probability is calculated as the proportion of favorable events to all potential scenarios of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed.

As per the given data provided by the question,

With a standard deviation of 15.43 and a sample mean of 64.03, respectively.

Since the population has normally distributed, 99.5% probability lies within a range of three standard deviations.

Consequently, the confidence interval is:

= (64.03 − 3 × 15.43, 64.03 + 3 × 15.43)

= (17.75, 110.32), this is up to 2 decimal places.

To know  more about Probability:

https://brainly.com/question/11234923

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Answer: $299

Step-by-step explanation:

divide the original price by 5

Sale price of the computer is equals to $299.

" Sale price is defined as the discounted price at which goods are sold."

According to the question,

Original price of the computer = $1495

Price decided on sale of a computer = [tex](\frac{1}{5})[/tex] Original price of the computer

Substitute the value to get the sale price of a computer we get,

Sale price of a computer = [tex]\frac{1}{5} (1495)[/tex]

                                          = $299

Hence, sale price of the computer is equals to $299.

Learn more about sale price here

https://brainly.com/question/25101522

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Answer:

37,  ABD = CBD = 44 degrees, and ABC = 88 degrees

38.  ABD = CBD = 24 degrees, and ABC = 48 degrees

39.  ABD = CBD = 65 degrees, and ABC = 130 degrees

40.  ABD = CBD =67 degrees, and ABC = 134 degrees

Step-by-step explanation:

Recall that when a segment bisects an angle, the angle is divided in equal parts then we have:

37.  

6 x + 14 = 3 x + 29

3 x = 19 - 14 = 15

x = 15/3

x = 5

then ABD = 6 (5) + 14 = 30 + 14 = 44 degrees

CBD must equal ABD , so CBD = 44 degrees

And the total angle ABC = 88 degrees

38.

3 x + 6 = 7 x - 18

24 = 4 x

x = 24/4 = 6

Then ABD = 3 (6) + 6 = 24 degrees. Also CBD = 24 degrees and ABC = 48 degrees

39.

- 4 x + 33 = 2 x + 81

- 6 x = 81 - 33

-6 x = 48

x = - 48/6

x = -8

Then ABD = -4 (-8) + 33 = 32 + 33 = 65 degrees

The also CBD = 65 degrees, and ABC = 130 degrees

40.

8 x + 35 = 11 x + 23

35 - 23 = 11 x - 8 x

12 = 3 x

x = 12/3

x = 4 degrees

Therefore:

ABD = 8 (4) + 35 = 32 + 35 = 67 degrees.

Then also CBD = 67 degrees, and ABC = 134 degrees

Answer:

69

Step-by-step explanation:

Since there are 25 values, then n=25.

Now, calculate the index: 

i=p/100n=53/100⋅25=53/4.

Since the index i is not an integer, round up: i=14

The percentile is at the position i=14. So, the percentile is 69.