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3 years ago

1. 15 2. 27 3. 75 4. 87

Mathematics

1 answer:

masya89 [10]3 years ago

3 0

I’m 15 so the answer is number 1

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How many solutions can be found for the system of linear equations represented on the graph?

siniylev [52]

Answer:

B. One solution.

Step-by-step explanation:

The solution is the point where the lines intersect.

6 0

3 years ago

The population of a town in 2000 was 430. The population is increasing at a rate of 0.9% every year. What will be the projected

Virty [35]

Answer: a 470

Step-by-step explanation:

The exponential growth equation with rate of growth r in time period t is given by :-

$y=A(1+r)^t$ , where A is the initial amount

Given : The rate of growth of population every year : 0.9% =0.009

The initial population = 430

Then , the exponential growth equation in time period t is given by :-

$y=430(1+0.009)^t$

In 2010 or for t= 10 years

The projected population of the town will be :-

$y=430(1.009)^{10}=470.305565305\approx470$

Hence, the projected population of the town in 2010 is about 470.

4 0

3 years ago

Distance between (-4, 6) and (3, 7)

sweet-ann [11.9K]

Answer: $5\sqrt{2}$

Step-by-step explanation:

$Distance\ formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }$

plugging in the values we know:

$x_2 = 3,\ x_1=-4,\ y_2=7,\ y_1=6$

Therefore,

$Distance=\sqrt{(3-(-4))^2+(7-6)^2}$

$\rightarrow\ \sqrt{(3+4)^2+(1)^2}$

$\rightarrow\ \sqrt{7^2+1}$

$\rightarrow\ \sqrt{50}$

$\rightarrow\ \sqrt{5\times5\times2}$

$\rightarrow\ \large\boxed{5\sqrt{2}}$

8 0

2 years ago

(2sqrt7+3sqrt6)(5sqrt2+4sqrt3)=

Softa [21]

Answer:

$10\sqrt{14})+8\sqrt{21})+30\sqrt{3}+36\sqrt{2})$

Step-by-step explanation:

The given product is:

$(2\sqrt{7}+3\sqrt{6})(5\sqrt{2}+4\sqrt{3})$

We expand using the distributive property to get;

$(2\sqrt{7})(5\sqrt{2}+4\sqrt{3})+3\sqrt{6}(5\sqrt{2}+4\sqrt{3})$

Simplify:

$=10\sqrt{14})+8\sqrt{21})+15\sqrt{12}+12\sqrt{18})$

$=10\sqrt{14})+8\sqrt{21})+30\sqrt{3}+36\sqrt{2})$

3 0

3 years ago

Read 2 more answers

4y−320x4y9.y66(x8)2 <br><br> plz show work

kupik [55]

The answer is,

$4y - 168960 {x}^{9} {y}^{10}$

And explanation is in the picture.

3 0

3 years ago