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gayaneshka [121]
1 year ago
7

2. Write five different numbers for which 328,800 is the nearest hundred.3.Write five different numbers for which 659,000 is the

nearest hundred.
Mathematics
1 answer:
stira [4]1 year ago
7 0

2. The numbers at which represent 328000 to the nearest hundred are

a. 327, 969

b. 327, 958

c. 327,999

d. 328, 040

e. 328, 030

3. The numbers that can represent 659,000 as the nearest hundred are

a. 658, 952

b. 658, 966

c. 658, 974

d. 659, 049

e. 659, 030

The nearest hundred, we consider the last two digits if they are below 50 or above 50. Then we round the number to the nearest hundreds . example 240 to the nearest hundred is 200. since 40 makes the number 240 more closer to 200 we round it to 200. if it is 260, the number 60 will be more closer to 300 than 200. so the nearest hundred in this case will be 300.

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Write a quadratic function to model the vertical motion for each​ situation, given ​h(t) equals negative 16t squared plus v0t+h0
Mashcka [7]

Answer:

hmax = 194 ft

The maximum height is 194 ft

Step-by-step explanation:

According to the given equation for the model of the vertical motion. The height at any point in time can be written as;

h(t) = -16t^2 + v0t + h0 .......1

Where;

h(t) = height at time t

t = time

v0 = initial velocity = 96 ft/s

h0 = initial height = 50 ft

To determine the maximum height we need to differentiate the equation 1 to find the time at which it reaches maximum height;

At the highest point/height h' = dh/dt = 0

h'(t) = -32t +v0 = 0

-32t + v0 = 0

t = v0/32

t = 96/32

t = 3 s

At t=3 it is at maximum height.

The maximum height can be derived from equation 1;

Substituting the values of t,v0,h0 into equation 1;

h(t) = -16t^2 + v0t + h0 .......1

hmax = -16(3)^2 + 96(3) + 50 = 194 ft

hmax = 194 ft

The maximum height is 194 ft

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4 years ago
Zuma earns $12.50 an hour. How many hours must she work to earn $500?
bixtya [17]

Answer:

40 hours

Step-by-step explanation:

500 ÷ 12.5 = 40

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Step-by-step explanation:

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3 years ago
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3x-10-4
snow_lady [41]

Answer/Step-by-step Explanation:

1. 3x - 10 +4 if x = 3

To evaluate, plug in the value of x in the expression given

3(3) - 10 + 4 = 9 - 10 + 4

= 3

2. \frac{x}{2} + 6x

if x = -12

\frac{(-12)}{2} + 6(-12)

- 6 - 72 = - 78

3. 8(x - y), if x = 2, y = 6

8(2 - 6) = 8(-4) = -32

4. x + xy, if x = 3, y = -2.5

3 + (3)(-2.5) = 3 + (-7.5)

= 3 - 7.5 = - 4.5

5. (2x)² + 6, if x = -2

(2*-2)² + 6 = (-4)² + 6

= 16 + 6 = 22

6. 3x + 4y - 3x, if x = 2, y = 4

3(2) + 4(4) - 3(2) = 6 + 16 - 6

= 16

7. -10x + \frac{4}{x}

If x = -2

-10(-2) + \frac{4}{-2}

20 + (-2) = 20 - 2 = 18

8. 3(8x - 10) + 5x, if x = ½

3(8*½ - 10) + 5(½)

3(4 - 10) + 2.5

3(-6) + 2.5 = -18+2.5 = - 20.5 or 20½

9. x + 8y - (x)², if x = -5, y = ¼

-5 + 8(¼) - (-5)² = -5 + 2 - (25)

= -3 - 25 = -28

10. (8x)² + 6x + 2, if x = -3

(8*-3)² + 6(-3) + 2 = (-24)² - 18 + 2

= 576 - 18 + 2 = 560

11. 2x² + 4y² + xy, if x = ½, y = 2

2(½)² + 4(2)² + (½)(2)

= 2(¼) + 4(4) + 1

= ½ + 16 + 1 = ½ + 17 = 17½

12. 8x + 2y, if x = 1.5, y = -2.2

8(1.5) + 2(-2.2)

12 - 4.4 = 7.6

13. \frac{5}{2}(x - 6) + 4

if x = 8.

\frac{5}{2}(8 - 6) + 4

\frac{5}{2}(2) + 4

= 5 + 4 = 9

14. 3x - 8x² + 7, if x = 4.5

3(4.5) - 8(4.5)² + 7

13.5 - 8(20.25) + 7

13.5 - 162 + 7 = -141.5

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-2(3)² + 8(-9)

-2(9) - 72 = - 18 - 72 = 90

16. (-5x)² - 3x + x, if x = -3.5

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(17.5)² + 10.5 - 3.5

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8 0
3 years ago
rancho middle school has an average of 23/3/8 students per teacher. write this mixed number as a decimal​
Len [333]

Rancho middle school has an average of 23 3/8 students per teacher.write this mixed number as a decimal.

Answer:

23\frac{3}{8} = 23.375

Step-by-step explanation:

Given:

The given mixed number is 23\frac{3}{8}

We need to write the given mixed number as a decimal.

So, we find the decimal number by separating the parts.

=23+\frac{3}{8}

The value of \frac{3}{8}=0.375

=23+0.375

=23.375

Therefore, the decimal number of given mixed number is =23.375

8 0
3 years ago
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