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3 years ago

May i please have some help?

Mathematics

1 answer:

DIA [1.3K]3 years ago

8 0

Check the picture below.

notice the tickmarks, thus TP = PU and TQ = QS, so the PQ segment is then a midsegment of the larger triangle, and thus the angles it makes on the small one, are exactly the same.

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Eliza graphed a function representing the arithmetic sequence {−5,5,15,25,35}. She then connected the points to make a line.

Elan Coil [88]

Answer:

Well we are adding by 10 for every 1 increase in x. So slope is 10 / 1 = 10. (1. a slope of 10) is an answer.

We want x = 1 to have y = -5 Slope form is y=mx+b. We know m = 10 bec slope is 10. We have the point (1,-5) on the graph so we solve for b by plugging:

-5 = 10(1) + b and this is b = -15. So graph has function y = 10x-15.

b is the y-intercept so (3. a y-intercept at (0,−15)) is an answer.

4 0

4 years ago

A town has a population of 4000 and grows at 3.5% every year. To the nearest year, how long will it be until the population will

Romashka [77]

18.273 years will take to reach the population of 7500, if a town has a population of 4000 and grows at 3.5% every year.

Step-by-step explanation:

The given is,

Population of 4000

Rate of grow 3.5% every year

Population after few years 7500

Step:1

Formula to calculate the population with the grow rate every year,

$F=P(1+r)^{t}$ ..........................(1)

Where,

F - Population after t years

P - Initial population

r - Rate of grow

t - No.of years

From given,

F = 7500

P = 4000

r = 3.5%

Equation becomes (1),

$7500=4000(1+0.035)^{t}$

$\frac{7500}{4000} = (1+0.035)^{t}$

1.875 = $(1+0.035)^{t}$

$1.875 = (1.035)^{t}$

Take log on both sides,

$log 1.875 = (t)log 1.035$

Substitute log values,

$0.2730= (t) 0.014940349$

$t = \frac{0.273}{0.014940349}$

= 18.273

t = 18.273 year

t = 18 years 3 months 2 weeks

Result:

18.273 years will take to reach the population of 7500, if a town has a population of 4000 and grows at 3.5% every year.

7 0

4 years ago

What is the volume of this sphere in terms of pi?

iogann1982 [59]

Idk know if this is right but the answer is 56.52

3 0

3 years ago

Read 2 more answers

What is the following product?

Zarrin [17]

Answer: A

Step-by-step explanation:

$(\sqrt{12}+\sqrt{6})(\sqrt{6}-\sqrt{10})$

$(\sqrt{12}*\sqrt{6})-(\sqrt{12}* \sqrt{10})+(\sqrt{6}*\sqrt{6})-(\sqrt{6}*\sqrt{10})$

$(\sqrt{12*6})-(\sqrt{12*10})+(\sqrt{6*6})-(\sqrt{6*10})$

Let's rewrite the numbers inside to see if we can take some out.

For example; 12 is 3 x 4 and 4 is $2^2$ which means a 2 will come out of the root.

$(\sqrt{3*2^2*6})-(\sqrt{3*2^2*10})+(\sqrt{6^2})-(\sqrt{6*10})$

$(2\sqrt{18})-(2\sqrt{30})+(6)-(\sqrt{60})$

We can also rewrite 18 as 9 x 2 and 9 can be rewritten as $3^2$ which will make the 3 come out.

60 can be rewritten as 15 x 4 and 4 can be rewritten as $2^2$ which will make the 2 come out.

Let's rewrite this.

$(2\sqrt{2*3^2})-(2\sqrt{30})+(6)-(\sqrt{15*2^2})$

When a number comes out of a root, it has to be multiplied by the number that is already outside.

$(2*3\sqrt{2})-(2\sqrt{30})+(6)-(2\sqrt{15})$

Solve and eliminate parentheses.

$6\sqrt{2}-2\sqrt{30}+6-2\sqrt{15}$

6 0

3 years ago

A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?

Svetradugi [14.3K]

Answer:

(x-3,y+5)

Step-by-step explanation:

5 units up would be written as: $y + 5$ .

3 units to the left would be $x - 3$ .

The rule that describes the translation of 5 units up and 3 units to the left would be:

$(x,y) \rightarrow (x-3,y+5)$

8 0

3 years ago