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sergiy2304 [10]

3 years ago

6

Suppose the population of a small country is 875,000 and growing at an annual rate of 3%. Identify the rate as either a growth r

ate or decay rate.
a. Decay rate = 3%

b. Growth rate = 3%

1 answer:

just olya [345]3 years ago

8 0

Answer:

Need to calculate 3% of 875 000 which is equal 26250

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If RX=4 and XS=9, then XT=<br> And how do you get it?

konstantin123 [22]

Answer:

XT=6 units

Step-by-step explanation:

The picture of the question is the attached figure

step 1

In the right triangle RST

Applying the Pythagorean theorem

$RS^2=RT^2+TS^2$

we have

$RS=RX+XS=4+9=13\ units$ ---> by segment addition postulate

substitute

$RT^2+TS^2=169$ ----> equation A

step 2

In the right triangle RTX

Applying the Pythagorean theorem

$RT^2=RX^2+XT^2$

we have

$RX=4\ units$

substitute

$RT^2=4^2+XT^2$

$RT^2=16+XT^2$

$XT^2=RT^2-16$ ----> equation B

step 3

In the right triangle XTS

Applying the Pythagorean theorem

$TS^2=XS^2+XT^2$

we have

$XS=9\ units$

substitute

$TS^2=9^2+XT^2$

$TS^2=81+XT^2$

$XT^2=TS^2-81$ ----> equation C

step 4

equate equation B and equation C

$TS^2-81=RT^2-16$

$TS^2-RT^2=81-16$

$TS^2-RT^2=65$ ----> equation D

step 5

Solve the system

$RT^2+TS^2=169$ ----> equation A

$TS^2-RT^2=65$ ----> equation D

Solve by elimination

Adds equation A and equation D

$RT^2+TS^2=169\\TS^2-RT^2=65\\---------\\TS^2+TS^2=169+65\\2TS^2=234\\TS^2=117$

Find the value of RT^2

$RT^2+117=169\\RT^2=52$

step 6

Find the value of XT

equation C

$XT^2=117-81\\XT^2=36\\XT=6\ units$

7 0

3 years ago

Solve the system of equations x - 2y = – 7 and -3x – 2y = 29 by combining the<br> equations.

Ksivusya [100]

Answer:

x = - 9, y = -1

Step-by-step explanation:

<em>Given:</em>

<em /> $\begin{bmatrix}x-2y=-7\\ -3x-2y=29\end{bmatrix}$

Solve:

$\mathrm{Substitute\:}x=-7+2y$

$\begin{bmatrix}-3\left(-7+2y\right)-2y=29\end{bmatrix}$

$\begin{bmatrix}21-8y=29\end{bmatrix}$

$\mathrm{For\:}x=-7+2y$

$\mathrm{Substitute\:}y=-1$

$x=-7+2\left(-1\right)$

$x=-9$

$\mathrm{Thus, Answer:x=-9,\:y=-1}$

[RevyBreeze]

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3 years ago

Will give brainliest

luda_lava [24]

Answer:

P (A and B)=8/9

Events A and B are not dependent.

Step-by-step explanation:

Probability of A AND B means the the probability (favorable outcomes divided by total) of choosing someone who has/did BOTH A and B (not neither or only one of them). 16 did both, so the probability is 16/18 /2/2 = 8/9.

The events are independent (not dependent) because choosing A does not affect choosing B.

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victus00 [196]

Answer:

neither, the slopes are the same

Step-by-step explanation:

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The length of a rectangle is 3x^2+7x+9 and it’s width is 3x+6

Lunna [17]

Answer: 5x/9 + 10 Associative Pr

operty of addition

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