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olga_2 [115]
2 years ago
13

It is believed that 3/4 of our dreams involve people that we know. Write an expression to describe the number of dreams that fea

ture people you know if you have d dreams. Now use that expression you wrote to predict the number of dreams that include people you know out of 28 dreams.
Mathematics
1 answer:
professor190 [17]2 years ago
6 0
3/4 of dreams = 3/4 of 'd'

The expression is \frac{3}{4}d

When d = 28
Number of dreams = \frac{3}{4}(28)= \frac{3*28}{4}=21

Answer: 21 dreams
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Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of
nikklg [1K]

Answer:

a.  5 + 2i, 13 + 2i, 29 + 2i

Step-by-step explanation:

We'll use the formula  f(z) = 2z + (3 - 2i)  for each iteration. The output of the first iteration will be come the input of the second iteration, and so on.

So, we start with z0 = 1 + 2i and we plug that into the base equation:

z0 = 1 + 2i ==> f(z) = 2(1 + 2i) + 3 - 2i = 2 + 4i + 3 - 2i = 5 + 2i

z1 = 5 + 2i ==> f(z) = 2(5 + 2i) + 3 - 2i = 10 + 4i + 3 - 2i = 13 + 2i

z2 = 13 + 2i ==> f(z) = 2(13 + 2i) + 3 - 2i = 26 + 4i  + 3 - 2i = 29 + 2i

z3 = 29 + 2i

8 0
2 years ago
Read 2 more answers
A ladder 25 feet long is leaning against the wall of a building. Initially, the foot of the ladder is 7 feet from the wall. The
lbvjy [14]

Answer:

Step-by-step explanation:

find the attached below

5 0
1 year ago
A rectangular tank measuring 35 cm by 28 cm by 16 cm is 2/5 filled with
Alina [70]

Answer:

Amount of water left in tank = 440 cm³

Step-by-step explanation:

Given:

Sides of tank respectively = 35 cm , 28 cm , 16 cm  

Water level in tank = 2/5

Side of a cubic tank = 18 cm

Find:

Amount of water left in tank

Computation:

Volume level in rectangular tank = [2/5][35 x 28 x 16]

Volume level in rectangular tank = [2/5][15,680]

Volume level in rectangular tank = [31,360/5]

Volume level in rectangular tank = 6,272 cm³

Volume of cube = side³

Volume of cube = 18³

Volume of cube = 5,832 cm³

Amount of water left in tank = Volume level in rectangular tank - Volume of cube

Amount of water left in tank = 6,272 - 5,832

Amount of water left in tank = 440 cm³

7 0
1 year ago
In the diagram of circle o, what is the measure of ABC?<br> 27°<br> 54°<br> 108°<br> 120°
Vlad1618 [11]

<u>Given</u>:

Given that a circle O with two tangents BA and BC.

The major arc AC is 234°

The minor arc AC is 126°

We need to determine the measure of ∠ABC

<u>Measure of ∠ABC:</u>

We know the property that, "if a tangent and a secant, two tangents or two secants intersect in the interior of the circle, then the measure of angle formed is one half the difference of the measures of the intercepted arcs."

Hence, applying the above property, we have;

\angle ABC=\frac{1}{2}( major \widehat{AC} - minor \widehat{AC})

Substituting the values, we get;

\angle ABC=\frac{1}{2}( 234^{\circ} -126^{\circ})

\angle ABC=\frac{1}{2}( 108^{\circ})

\angle ABC=54^{\circ}

Thus, the measure of ∠ABC is 54°

Hence, Option b is the correct answer.

5 0
2 years ago
Emma's sister is nine years older than Emma. Their combined ages add up to 49.How old is Emma. write and equation and solve
Genrish500 [490]
E= Emma's age
emma's sister's age= e+9 (emma's age plus 9)

e+9=49
(isolate your variable) 
e+9-9=49-9
e=40
Emma is 40 years old
To check: Emma's sister is 9 years older right? take emmas age 40 plus the nine more years and you still get the total of 49! hope that helps good luck
5 0
2 years ago
Read 2 more answers
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