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3 years ago

Solve for the missing number, founding to three decimal places when necessary b. 0.76 = 1425

Mathematics

1 answer:

boyakko [2]3 years ago

5 0

Answer:

1.425

Step-by-step explanation:

b.0.76

0.76÷1000=0.076

l425÷1000=1.425

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The most recent census for a city indicated that there were 919,716 residents. The population of the city is expected to increas

OLEGan [10]

Answer:

1,474,951.

Step-by-step explanation:

Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.

$P(t)=P_o(1+r)^t,$ where \left\{\begin{array}{lll}P_o=$Initial Population\\r$=Growth rate\\$t=time (in years)\end{array}\right\\P_o=919,716\\r=3.7\%=0.037\\$t=13 years$

Therefore, the population of the city in 13 years time will be:

$P(t)=919,716(1+0.037)^{13}\\\\=919,716(1.037)^{13}\\\\=1,474,950.9\\\\\approx 1,474,951$

The population be at that time will be approximately 1,474,951.

3 0

3 years ago

An angle measures 54° less than the measure of a supplementary angle. What is the measure of each angle?

Katen [24]

X+x+54=180
2x+54=180
2x=126
x=63
63+54=117
one angle is 63, the other is 117

8 0

3 years ago

Find all the zeros for each function P(x)=x^4-4x^3-x^2+20x-20

ivanzaharov [21]

Answer:

The zeros of the given polynomial function are

2,2, $\pm\sqrt{5}$

Step-by-step explanation:

Given polynomial is $P(x)=x^4-4x^3-x^2+20x-20$

To find the zeros equate the given polynomial to zero

ie., P(x)=0

$P(x)=x^4-4x^3-x^2+20x-20=0$

By using synthetic division we can solve the polynomial:

2_| 1 -4 -1 20 -20

0 2 -4 -10 20

_____________________

1 -2 -5 10 |_0

Therefore x-2=0

x=2 is a zero of P(x)

Now we can write the cubic equation as below:

$x^3-2x^2-5x+10=0$

Again using synthetic division

2_| 1 -2 -5 10

0 2 0 -10

______________

1 0 -5 |_0

Therefore x-2=0

x=2 is also a zero of P(x).

Now we have $x^2+0x-5=0$

$x^2-5=0$

$x^2=5$

$x^=\pm\sqrt{5}$ is a zero of P(x)

Therefore the zeros are 2,2, $\pm\sqrt{5}$

8 0

3 years ago

a picture has painted 75% of a wall the area so far is 108 square feet what is the total area of the wall that he needs to paint

Kipish [7]

Answer:

27 more

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

At last week's track meet, Stacy ran 9/12 of a km, Jules ran 4/5 of a km, and Raul ran 3/4 of a mile. Which two students ran the

koban [17]

Answer: No two students ran same distance

Step-by-step explanation:

Given

Stacy ran $\frac{9}{12}$ of a km i.e.

$\Rightarrow 1\times \dfrac{9}{12}=\dfrac{3}{4}=0.75\ km$

Jules ran $\frac{4}{5}$ of a km i.e.

$\Rightarrow 1\times \dfrac{4}{5}=0.8\ km$

Raul ran $\frac{3}{4}$ of mile i.e.

$\Rightarrow 1\times \dfrac{3}{4}=0.75\ miles\\\\\text{1 mile=1.6 km}\\\\\Rightarrow 0.75\ miles=1.2\ km$

So, no two students ran the same distance.

6 0

2 years ago