What value(s) of x will make x2 = 9 true?
.............................................................................

A. 81 and -81
B. V3
C. 3 and -3
D. 3


Thank you to anyone who answers !! :-)​

Using separation of variables for the differential equation, it is found that:

a) The differential equation is: [tex]\frac{dP}{dt} = kP[/tex]

b) The solution is: [tex]P(t) = 5000e^{kt}[/tex]

c) In 6 months, the population is: [tex]P(6) = 5000e^{6k}[/tex]

Population of fishes in a pond is directly proportional to amount of fishes present in the bond, hence the differential equation is:

[tex]\frac{dP}{dt} = kP[/tex]

In which k is the growth rate.

In separation of variables, we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.

Hence, for the differential equation in this problem:

[tex]\frac{dP}{dt} = kP[/tex]

[tex]\frac{dP}{P} = k dt[/tex]

[tex]\int \frac{dP}{P} = \int k dt[/tex]

[tex]\ln{P} = kt + P(0)[/tex]

[tex]P(t) = P(0)e^{kt}[/tex]

In which P(0) = 5000 is the initial population, hence:

[tex]P(t) = 5000e^{kt}[/tex]

In 6 months, the population is:

[tex]P(6) = 5000e^{6k}[/tex]

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Answer:

Step-by-step explanation:

Check the picture below.

[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{two~triangles}{2\left[\cfrac{1}{2}(15)(8) \right]}~~ + ~~\stackrel{rectangle}{(25)(15)}~~ + ~~\stackrel{rectangle}{(25)(17)}~~ + ~~\stackrel{rectangle}{(25)(8)}} \\\\\\ 120~~ + ~~375~~ + ~~425~~ + ~~200\implies 1120~yd^2[/tex]

Answer:

Step-by-step explanation:

Sum of supplementary angles is 180°

Find the value of x

Find the measure of ∠B

Supplementary angles have sum 180°

<B

There are more than one solution of the equation. The solution of the equation when solved for y are 5, 2.5-4.3301i, 2.5+4.3301i.

If the equation is given a unique and single value of variable after solving, then the equation is said one solution equation. Such equation gives exactly one solution.

The three solution of an equation are-

The expression for y is given as,

y³=125

Here, y is a real number. equate the equation to zero,

y³-125=0

y³-5³=0

Use the formula of difference of two perfect cube as,

(y-5)(y²+5y+25)=0

The values of y we get after solving the equation as,

y=5, 2.5-4.3301i, 2.5+4.3301i

Thus, there are more than one solution of the equation. The solution of the equation when solved for y are 5, 2.5-4.3301i, 2.5+4.3301i.

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Answer:

Step-by-step explanation:

Area of shaded region

  When we subtract the area of the circle from the area of square, we get the area of the 4 corners. When we divide that by 2, we get the area of 2 corners(shaded).
[tex]\sf \boxed{\text{Area of the shaded region =$\dfrac{Area \ of \ square - area \ of \ circle}{2}$}}[/tex]

Area of square = side *side

                          = 8 * 8

                          = 64 square inches

     diameter of the circle = side of the square

                                     d = 8 in

                                      r = 8/2 = 4 in

   [tex]\sf \text{Area of circle = \pi r^2}[/tex]  Area of circle = πr²

                            = 3.14 * 4 * 4

                            = 50.24 square inches

[tex]\sf \text{Area of shade region = \dfrac{64 - 50.24 }{2}}[/tex]

[tex]\sf \text{Area of the shade region = $\dfrac{64 - 50.24}{2}$}[/tex]

                                       [tex]\sf = \dfrac{13.76}{2}\\\\= 6.88 \ square inches[/tex]

Answer:

B

Step-by-step explanation:

A baby boom would cause a sudden increase of the population.

Answer:

[tex]x = \sqrt{3 \frac{ - 1}{3} } [/tex]

The probability that the cat lands on its feet both times it falls out of a tree is 0.85

The probability that the cat lands on its feet is given as:

P(Feet) = 0.92

The probability that it lands on its feet twice is calculated using:

P = P(Feet) * P(Feet)

So, we have:

P = 0.92 * 0.92

Evaluate

P = 0.85

Hence, the probability is 0.85

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The method that was used by Isabella to pay for the CD players is a credit card.

A credit card is a line of credit that is extended by a bank to the holder of the credit card. The bank extends credit to the credit cardholder based on the holder's credit worthiness.

The holder of the credit card is expected to make payments on debts owed at the end of every month until all the debt has been repaid.

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Answer:

Isabella bought a CD player at the store. She will receive the bill at the end of the month. She plans to pay $30 each month until the bill is paid in full. How did Isabella pay for the CD player?

❌ A) cash

❌ B) check

❌ D) debit card

I Took Question Test Have Nice Day.

Check the picture below.

Before the beginning of the Korean War, Kim II-Sung had established his plans to invade South Korea and shared them with Soviet Union and China.

To be able to spread communist ideologies across the neighboring countries, Kim II-Sung planned to invade South Korea for the same.

Soviet Union and China also joined hands, as they were also focused on wide-spreading the communal ideologies throughout the world.

Hence, it may be stated that the invasion of South Korea took place for spreading communism.

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Answer:

1. Kim Il-Sung was the leader of

✔ North Korea.

2. Before the war, Kim Il-Sung informed the Soviet Union and China of his plan to invade

✔ South Korea.

3. The South Korean government was led by President

✔ Syngman Rhee.

4. South Korea’s leadership arrested and killed thousands of

✔ alleged North Korean agents.

Step-by-step explanation:

Answer:

tan 19 = x/25

Step-by-step explanation:

x = tan 19 ✖️ 25

x = 0.3443 ✖️ 25

x = 8.6075

x = 8.61 (2 decimal places)

Using it's concept, the event that has the highest probability is given as follows:

B. The bus is from route A and is on time.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

We have that out of the 110 buses, 8 are delayed from route B, hence:

P(A) = 8/110.

28 are on time from route A, hence:

P(B) = 28/110.

24 are on time from route C, hence:

P(C) = 24/110.

6 are delayed from route C, hence:
P(D) = 6/110.

Hence option B gives the highest probability.

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Answer:

B.  The bus is from route A and is on time.

Step-by-step explanation:

[tex]\large \begin{array}{| c | c | c | c |}\cline{1-4} & \sf On-Time & \sf Delayed & \sf Total\\\cline{1-4} \sf Bus\:Route\:A & 28 & 7 & 35\\\cline{1-4} \sf Bus\:Route\:B & 37 & 8 & 45\\\cline{1-4} \sf Bus\:Route\:C & 24 & 6 & 30\\\cline{1-4} \sf Total & 89 & 21 & 110\\\cline{1-4}\end{array}[/tex]

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Therefore:

[tex]\textsf{P(Route B and delayed)}=\dfrac{8}{110}[/tex]

[tex]\textsf{P(Route A and on time)}=\dfrac{28}{110}[/tex]

[tex]\textsf{P(Route C and on time)}=\dfrac{24}{110}[/tex]

[tex]\textsf{P(Route C and delayed)}=\dfrac{6}{110}[/tex]

So the event that has the highest probability is:

B.  The bus is from route A and is on time.

Answer: A, C

Step-by-step explanation:

The measure of an incsribed angle is half the measure of the arc it subtends.

Answer:

What Graph?

Step-by-step explanation:

Answer:

you have to put the image of the graph

Answer:

12 different rectangles.

Step-by-step explanation:

I just divided 24 and got 12

Answer:

check photo for detailed analysis

Answer:

119 copies

Step-by-step explanation:

Given that,

→ 1 minute = 28 copies

Copies made in 4 minutes & 15 seconds,

→ 28 × (4 + 15/60)

→ 28 × (4 + 1/4)

→ 28 × (16+1)/4

→ 28 × 17/4

→ 476/4

→ [ 119 copies ]

Hence, the machine made 119 copies.

Answer:

a) Least (V):69  Greatest (V):84

b) 74 78 79 82 84 are equally the higher frequency so we go with the lower value (V): 74 which is also the mode and modal.

Step-by-step explanation:

The letters in full are given as L, C C, C C, L, L, A, L, L, O, and M. They are identified by either reflecting them or rotating them. See below which of the elements gives the result for each.

Rotation in mathematics is defined as the act of turning an element by one or more degrees about one fixed axis or central point such that the object faces different directions each time.

According to the rules of geometry, a reflection occurs when an object is flipped into its mirror image. See the attached as an example.

Both reflections and rotation are known as transformation.

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Answer:

1. 51511511151111 / 100000000000000

2.  56727776837787/ 10000000000000

Step-by-step explanation:

1. All you have to do for this problem is write over 10000000000000

[tex]51511511151111 / 100000000000000[/tex]

2. Write it overpower of 10

[tex]56727776837787/ 10000000000000[/tex]

3. You need to give me in order to solve

Answer: Option A

Step-by-step explanation:

Replace F with 86 then solve

86 - 32 = 54

54 × 5/9 = 30

C =30

Answer:

Step-by-step explanation:

5/9(86-32)

5/9(54)

5(6)= 30

answer is A

Answer: $2

Step-by-step explanation:

Answer:

depends?

Step-by-step explanation:

(31/2)/(1/4) or (3 1/2)/(1/4) aka (7/2)/(1/4)?

[tex]~~~~~~ \stackrel{\textit{\LARGE Amanda}}{\textit{Simple Interest Earned Amount}} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$1500\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years \end{cases} \\\\\\ 1500=500[1+(0.08)(t)]\implies \cfrac{1500}{500}=1+0.08t\implies 3= 1 + 0.08t \\\\\\ 2 = 0.08t\implies \cfrac{2}{0.08}=t\implies \boxed{25=t} \\\\[-0.35em] ~\dotfill[/tex]

[tex]~~~~~~ \stackrel{\textit{\LARGE Tori}}{\textit{Simple Interest Earned Amount}} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$1500\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ t=years \end{cases}[/tex]

[tex]1500=1000[1+(0.025)(t)]\implies \cfrac{1500}{1000}=1+0.025t\implies \cfrac{3}{2}=1 + 0.025t \\\\\\ \cfrac{3}{2}-1= 0.025t\implies \cfrac{1}{2}=0.025t\implies \cfrac{ ~~ \frac{1}{2} ~~ }{0.025}=t\implies \boxed{20=t}[/tex]

well, clearly Tori is Da Bomb!.

Answer: -4112

Step-by-step explanation: