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3 years ago

Find each of these values.

1 answer:

4 0

$192=4\cdot41+28\iff192\equiv28\pmod{41}$
$28=3\cdot9+1\iff28\equiv1\pmod9$

$323=24\cdot13+11\iff323\equiv11\pmod{13}$
$11^2\equiv0\pmod{11}$

$73=3\cdot23+4\iff73\equiv4\pmod{23}$
$4^2\equiv16\pmod{31}$

$212=14\cdot15+2\iff212\equiv2\pmod{15}$
$2^3\equiv8\pmod{22}$

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99 % of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees

Brut [27]

Answer:

50%

Step-by-step explanation:

Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.

Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.

Therefore

0.99E+0.99O=E

0.01E=0.99O

E=99O.

Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.

Then we would have E−x(E−x)+O=0.98.

Therefore,

0.02(E−x)=0.98O

0.02E−0.02x=0.98O

0.02x=0.02E−0.98O

x=E−50(0.98)O

x=E−49O

x=E−49(E99)

x=5099E≈0.505050...×E.

So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.

3 0

3 years ago

PLEASE HELP (only if you know what you are doing )

KiRa [710]

Answer:

1. 3 2. 22 3. 0

Step-by-step explanation:

First Box: Jada only has $15 dollars she can spend

If she chooses to buy 6 individual songs that would cost her $3.

because each individual song cost $0.50 so (6 times 0.5= 3)

Since Jada only has $15 we need to subtract 3 from 15 to find out how much money she has left. So, 15-3=12. Jada has $12 left

An album cost $4 dollars each so Jada can only buy 3 albums with $12 because 12 divided 4 is 3.

Answer to first box: 3

Second Box: Jada only has $15 dollars she can spend

If she chooses to buy 1 album that would cost her $4.

because each individual song cost $4 so (4 times 1= 4)

Since Jada only has $15 we need to subtract 4 from 15 to find out how much money she has left. So, 15-4=11. Jada has $11 left

An individual song cost $0.50 dollars each so Jada can only buy 22 individual songs with $11 because 11 divided by 0.5=22.

Answer to second box: 22

Third Box: Jada only has $15 dollars she can spend

If she chooses to buy 30 individual songs that would cost her $15.

because each individual song cost $0.50 so (30 times 0.5= 15)

Since Jada only has $15 we need to subtract 15 from 15 to find out how much money she has left. So, 15-15=0. Jada has $0 left

An album cost $4 dollars each so Jada can only buy 0 albums with $0 because 0 divided 4 is 0.

Answer to third box: 0

4 0

3 years ago

Read 2 more answers

HELP order to find the percentage of households in a town that own more than one vehicle, a survey asks 1000 randomly selected d

alekssr [168]

Answer is D jjkkkkmmm

5 0

3 years ago

an umbrella is made by stitching 10 triangular pieces of cloth of two different colours where each pieces measuring 48cm,48cm,an

mars1129 [50]

Answer:

Step-by-step explanation:

first we need to calculate the area of isosceles triangle having sides 48cm, 48cm and 30cm

a = 48

b= 30

Area of isosceles triangle using only sides = ½[√(a^2 − b^2 /4) × b]

= 1/2*30√( 48² - 1/4×30²)

=1/2*30√ (2304 -225)

=684sq cm

cost required to make umbrella= 10*684*5

= 34200

7 0

3 years ago

Find the zeros of the function: f(x)=3x^2-5x+3

maks197457 [2]

Answer:

x = 5 ± i √ 11 /6

Step-by-step explanation:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x .

8 0

3 years ago