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miss Akunina [59]
2 years ago
15

Given a dilation with the origin O (0, 0), by observation determine the scale factor "K." DO, K = (5, 0) (10, 0) The dilation an

expansion. True False
Mathematics
1 answer:
yuradex [85]2 years ago
6 0
False..............not true
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If π is rounded to a whole number, what is a reasonable estimate for the circumference of a circle with a diameter of 9 cm?
mel-nik [20]
Pi rounded to a whole number would equal three. Circumference equals 2pi*r. The radius in this case is half of the diameter, so 4.5 cm. 2 times pi, or three equals 6 times 4.5 is 27
8 0
2 years ago
PLEASEE HURRYY Which expression is equivalent to the complex number. 10+3i
irga5000 [103]

Answer:

(4+7i)-2i(2+3i) = 10+3i

Step-by-step explanation:

We need to find the expression that is equivalent to the complex number 10+3i.

Option 1. 2i(4-5i)+(1-7i)

=8i-10i²+1-7i

∵ i² = -1

=8i-10(-1)+1-7i

=8i+10+1-7i

=11+i (incorrect)

Option 2. (4+7i)-2i(2+3i)

=4+7i-4i-6i²

=4+7i-4i-6(-1)

=4+7i-4i+6

=10+3i (Correct)

Option 3. (-3+5i)-3i(4+5i)

= (-3+5i)-12i-15i²

= -3+5i-12i-15(-1)

= -3+5i-12i+15

=12-7i (incorrect)

Option 4. 3i(4+7i)+(11+2i)

= 12i+21i²+11+2i

=12i+21(-1)+11+2i

= 12i-21+11+2i

=14i-10 (incorrect)

Hence, the correct option is (B).

5 0
2 years ago
Read 2 more answers
A road bike has a wheel diameter of 622 mm. What is the circumference of the wheel? Use 3.14 for π?
Mkey [24]
That would be 1953.08
diameter = <span>circumference/pi, so reverse it and multiply 622 by 3.14</span>
3 0
2 years ago
Read 2 more answers
The equation for a projectile's height versus time is h(t)=-16t^2+Vt+h. A tennis ball machine serves a ball vertically into the
Artist 52 [7]

Answer:

The maximum height  is 191.063 ft

Step-by-step explanation:

We can easily solve this question by plotting the graph of the equation below

h(t)=-16t^2+Vt+h

Where

h = initial height = 2ft

V = initial speed = 110 ft/s

t = time in seconds

Please, see attached image below

The maximum height corresponds to

191.063 ft

7 0
2 years ago
Two new drugs are to be tested using a group of 60 laboratory mice, each tagged with a number for identification purposes. Drug
lakkis [162]

Answer:

4.979044478499338 × 10²⁶

Step-by-step explanation:

Combination can be used to determine the number of ways the mice can be selected for the drugs (A, B) and the control group.

Combination factorial is define by  ⁿCr = \frac{n!}{(n-r)!r!}

21 group of mice receiving Drug A  can be selected in ⁶⁰C₂₁ = \frac{60!}{21!39!}

(60 - 21 = 39 ) mice remained for selection of 21 mice for the second drug

Drug B 21 mice can be chosen with ³⁹C₂₁ = \frac{39!}{21!18!}

( 39 - 21 = 18)  remained for control with ¹⁸C₁₈ = \frac{18!}{18!0!}

The number of ways the mice can be chosen for drug A, drug B and the control = ⁶⁰C₂₁ × ³⁹C₂₁ × ¹⁸C₁₈ = \frac{60!}{21!39!} × \frac{39!}{21!18!} × \frac{18!}{18!0!} = 4.979044478499338 × 10²⁶

8 0
2 years ago
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