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AfilCa [17]
2 years ago
10

Item 4 Evaluate. 1.6³ Enter your answer as a decimal in the box.

Mathematics
1 answer:
Oliga [24]2 years ago
4 0

1.6*3=1.6 x 1.6 x 1.6

1.6*3=4.096

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Write the quadratic equation whose roots are 4 and 5, and whose leading coefficient is 4.
Umnica [9.8K]

Answer:

<u>Answer</u><u>:</u><u> </u><u>4</u><u>x</u><u>²</u><u> </u><u>-</u><u> </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>0</u><u> </u>

Step-by-step explanation:

• General quadratic equation:

{ \rm{ {x}^{2}  - (sum \: of \: roots)x + (product \: of \: roots) }}

• sum of roots → 4 + 5 = 9

• product of roots → 4 × 5 = 20

• substitute:

{ \boxed{ \rm{4 {x}^{2}  - 9x + 20 }}}

3 0
2 years ago
According to the National Education Association (NEA), teachers generally spend more than 40 hours each week working on instruct
abruzzese [7]

Answer:

The median number of hours worked per week for the sample of 13 high school science teachers is 52.

Step-by-step explanation:

Median of a data set:

The median of a data set is the element that separates the lower 50% of the set from the upper 50%.

If the cardinality n of the set is odd, the median is the element at the position (n+1)/2 of the sorted sed.

If the cardinality n of the set is even, the median is the mean between the elements at the position n/2 and (n/2)+1 of the sorted sed.

In this question:

Hours worked for the sample of 13 high school science teachers:

55, 58, 52, 52, 56, 59, 48, 63, 52, 52, 50, 52, 56

Sorting in an ascending way:

48, 50, 52, 52, 52, 52, 52, 55, 56, 56, 58, 59, 63

Cardinality of 13, so odd, the median is the element at the 13+1/2 = 7th position of the sorted set, which is 52.

The median number of hours worked per week for the sample of 13 high school science teachers is 52.

8 0
3 years ago
A thread is being pulled off a spool at the rate of 40 cm per second. Find the radius of the spool
murzikaleks [220]

Answer:

r = 0.0424 cm (3sf)

Step-by-step explanation:

it makes 150 rev/sec

1 revolution = 1 circumference = 2pi*r

so every second the spool goes through 2*pi*r*150 of distance

we know that the rate of pulling is 40cm/sec

so 2pi*r*150 = 40

r = 40/(2pi*150), which is 0.04244131816 cm.

check: Circumference is 2pi*r = 0.2666

now multiply by 150rev/sec = 40 cm/sec

3 0
2 years ago
Identify the diameter using the following radius: 16 ft.
Firlakuza [10]
B this answer is 4 it’s correct
7 0
3 years ago
Drag the expressions to show the order of their quotients from least to greatest
Damm [24]

Answer:

by solving the divisions

Step-by-step explanation:

  • 8/9 ÷ 7/11 = 8/9 × 11/7 = 88/63 = 1.40
  • 19/12 ÷ 3/10 = 19/12 × 10/3 =190/36 = 5.28
  • 19/12 ÷ 1/15 = 19/12 × 15 = 285/12 = 23.75

8/9 ÷ 3/10 = 8/9 × 10/3 = 80/27 = 2.96.

now from the solutions you can get the least to greatest

1.40 , 2.96, 5.28 and 23.75

After getting answer in decimal form change it to fraction like how they set the question

8 0
2 years ago
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