If a starting population size is 200 individuals and there are 20 births and 10 deaths per year, the per capita growth rate (r) is ____ and the new population size after one year will be

Answer:

x = 5

Step-by-step explanation:

x + 4 = 3(x - 2) ← distribute parenthesis by 3

x + 4 = 3x - 6 ( subtract 3x from both sides )

- 2x + 4 = - 6 ( subtract 4 from both sides )

- 2x = - 10 ( divide both sides by - 2 )

x = 5

Answer:

Step-by-step explanation:

In the question we have given an equation that is x + 4 = 3 ( x - 2 ) . And we are asked to solve the question that means we have to find the value of x .

Solution : -

[tex] \longrightarrow \quad \: x + 4 = 3(x - 2)[/tex]

Step 1 : Solving parenthesis on right side :

[tex] \longrightarrow \quad \: x + 4 = 3x - 6[/tex]

Step 2 : Subtracting 4 on both sides :

[tex] \longrightarrow \quad \: x + \cancel{4} - \cancel{ 4 }= 3x - 6 - 4[/tex]

On further calculations we get :

[tex] \longrightarrow \quad \: x = 3x - 10[/tex]

Step 3 : Subtracting 3x on both sides :

[tex] \longrightarrow \quad \: x - 3x = \cancel{3x } - \cancel{3x}- 10[/tex]

On further calculations we get :

[tex]\longrightarrow \quad \: - 2x = - 10[/tex]

Step 4 : Dividing both sides by -2 :

[tex]\longrightarrow \quad \: \dfrac{ \cancel{ - 2}x}{ \cancel{ - 2} } = \cancel{\dfrac{ - 10}{ - 2} }[/tex]

On further calculations we get :

[tex]\longrightarrow \quad \: \red{\underline\red{\boxed{ \frak{ x = 5}}}}[/tex]

Verifying : -

We are verifying our answer by substituting value of x in given equation. So ,

Therefore, our answer is correct .

Answer: [tex]-\frac{7}{11}[/tex]

Step-by-step explanation:

The formula for finding slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Where [tex](x_{1} ,y_{1} )[/tex] are the coordinates of the first point and [tex](x_{2} ,y_{2} )[/tex] are the coordinates of the second point.

Sub the values in

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\\frac{5-(-2)}{-5-6} \\[/tex]

Now solve

[tex]\frac{5-(-2)}{-5-6} \\\frac{7}{-11}[/tex]

Slope:-

[tex]\\ \rm\dashrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\dashrightarrow m=\dfrac{5+2}{-5-6}[/tex]

[tex]\\ \rm\dashrightarrow m=\dfrac{-7}{11}[/tex]

Answer:

y-intercept = -8

Step-by-step explanation:

Slope-intercept form of a linear equation: y = mx + b

(where m is the slope and b is the y-intercept)

Given:

Substituting the given values into the slope-point form of a linear equation:

[tex]\sf y-y_1=m(x-x_1)[/tex]

[tex]\implies \sf y-0=4(x-2)[/tex]

[tex]\implies \sf y=4x-8[/tex]

Comparing the final equation with the Slope-intercept form of a linear equation, we can see that the y-intercept is -8

The volumes of the pyramids are listed below:

Volume is the space occuppied by an object. In this question we must determine the volumes of pyramids of circular base and polygonal base (V). All the formulas needed are described below:

V = (π/3) · B · h     (1)

B = (π/4) · R²     (2)

B = (n · L²)/(4 · tan 0.5α)     (3)

B = (1/2) · b · z     (4)

B = b · z

Where:

Now we proceed to solve each pyramid:

1) Square, n = 4, α = 90°, L = 14 cm, h = 22 cm

B = 196 cm², V = 1437.333 cm³

2) Circle, R = 3 km, h = 8 km

B ≈ 28.274 km², V = 75,398 km³

3) Right triangle, b = 12 ft, z = 3.7 ft, h = 8 ft

B = 22.2 ft², V = 59.2 ft³

4) Rectangle, b = 23 yd, z = 9 yd, h = 5.7 yd

B = 207 yd², V = 393.3 yd³

5) Circle, R = 9.5 m, h = 12 m

B ≈ 283.529 m², V = 1134.116 m³

6) Regular pentagon, B = 110 mm², h = 11 mm

V = 403.333 mm³

7) Square,n = 4, α = 90°, L = 13 in, h = 7.2 in

B = 169 in², V = 405.6 in³

8) Regular triangle, n = 3, α = 120°, L = 16 ft, h = 24 ft

B ≈ 110.851 ft², V = 886.808 ft³

To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/1578538

Answer:

30 miles/hr

Step-by-step explanation:

d / r  = time     distance divided by rate = time

70 / r   = time     and    77/(r+3 ) = time       r = her original average speed

 'time' is the same for both so we can equate the equations

70/r = 77/(r+3)     cross multiply

70r + 210 = 77r

7r = 210

r = 30 m/hr

Answer:

Yes GH ≅JK

Step-by-step explanation:

The line GH and JK are congruent because they measures are equal.

JK line is vertical so the x-coordinate is constant and the difference in y is 10-4 = 6 and

GH line is horizontal so the y-coordinate is constant and the difference in x is 8-2 = 6

Answer:

252

Step-by-step explanation:

The least common multiple is the product of all factors in the greatest number of their occurrence.

LCM = 2 x 2 x 3 x 3 x 7

LCM = 2^2 x 3^2 x 7

LCM = 252

The least common multiple of 28, 42 and 63 is 252.

Answer:

LCM = 252.

Step-by-step explanation:

First find their prime factors:

28 = 2*2*7

42 = 2*3*7

63 = 3*3*7

So, only including like factors once, LCM =

2*2*3*3*7

= 252

Answer:

I'm pretty sure y is the height.

Answer: Choice C

(-8, 6)

===============================================

Reason:

This point is not in the shaded region. Points in the shaded region are solution points to make the inequality true. Points on the dashed boundary line do not count as solution points.

Answer:

-8,6

Step-by-step explanation:

all of the other answers are within the highlighted area of tha graph and thus are solutions but -8,6 is outside the highlighted area

Answer:

91,300 to 3 s.f.

Step-by-step explanation:

The population is reduced by a percentage 100-7 = 93%  ( or 0.93) per year.

So after 5 years thatwould be 300,000(0.93)^5

= 208707

that is 300,000 - 208,706

= 91293

= 91,300 to 3 s.f.

Answer:

See below

Step-by-step explanation:

the x + 4   will shift the graph 4 units LEFT

the - 8 part will shift the graph 8 units DOWN

Answer:

The answer should be 5:12.

Step-by-step explanation:

Since the question asks what's the ratio of cheerleaders to football players, the ratio before simplifying would be 20:48.

So, just find the greatest common divisor of 20 and 48, which would be 4.

20/4 = 5

48/4 = 12

Therefore, the answer to this question and the ratio of cheerleaders to football players is 5:12.

Answer:

No it isnt possible

Step-by-step explanation:

it is not because 2,783,000 is not divisible by 9

well, from 2010 to 2021  is 11 years later, so

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &24500\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years\dotfill &11\\ \end{cases} \\\\\\ A=24500(1 + 0.035)^{11}\implies A=24500(1.035)^{11}\implies A\approx 35769[/tex]

Answer:

Yes diciembre Eqsakdulien

Answer:

5.1 is the correct answer

hope it will help you

Answer:

A)  8, -6, 13

Step-by-step explanation:

See attached image.

Answer:

If you mean the angle at X... 70°

Step-by-step explanation:

Answer:

Step-by-step explanation:

This quadratic equation is given in standard form, which is [tex]y= ax^2 +bx+c[/tex]. The x-value of the vertex of a quadratic equation can be found using the given formula. Therefore, we can plug the the numbers given into the formula as such: [tex]x=\frac{24}{2(6)}[/tex]. This can be simplified into 2. Now that we have the x-coordinate, we can plug that back into the equation to find the y-coordinate: [tex]y=6(2)^2-24(2)+30[/tex]. This simplifies to y = 6. Therefore, the vertex of the equation is located at (2,6).

Hope this helps!

The red arrow represents an outlier in the given dot plot. which the correct answer would be an option (A).

A dot plot, sometimes known as a dot chart, is a sort of basic histogram-like graphic used in statistics for very small data sets with discrete values.

An outlier is a value in a random sampling from a population that is significantly different from the other values. In some ways, this definition leaves it up to the analyst (or a consensus process) to determine what is abnormal. Normal observations must first be characterized before anomalous observations may be identified.

The dot plot is given in the question,

According to the given dot plot,

Most data are clustered around [12, 14], while 24 is distant from this interval.

Thus, the red arrow represents an outlier in the given dot plot.

Hence, the correct answer would be option (A).

To learn more about the dot plot click here:

https://brainly.com/question/22746300

#SPJ2

Answer:5

Step-by-step explanation:

Answer:

[tex]30.25\pi ft^2[/tex]

Step-by-step explanation:

Answer:

157

Step-by-step explanation:

To find this, we just have to reverse the problem and subtract 23 from 180:

[tex]180-23=157[/tex]

So your answer is 157.

Hope this helps! Have a good day! :)

157

Step-by-step explanation:

180-23= 157

The answer is 157

7300

7×10³+3×10²+0×10¹+0×10⁰

please give me brainliest

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

According to properties of arc on a circle, angles subtended by an arc on circle at its boundaries are equal to one another.

Hence ~

[tex] \qquad \dashrightarrow \tt \: \angle C = \angle W [/tex]

[tex]\qquad \tt \dashrightarrow \:12x + 15 = 3x + 78[/tex]

[tex]\qquad \tt \dashrightarrow \:12x - 3x = 78 - 15[/tex]

[tex]\qquad \tt \dashrightarrow \:9x = 63[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 63 \div 9[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 7[/tex]

Therefore, value of x is 7

Angles drawn inside chords and radius hence they are equal

Answer:

3.55,11.25,48.20,49.413,42.184

Step-by-step explanation:

$3,500 + 0.05% = $3.55

$1,250 + 0.010% = $11.25

$25,340 + $22,860 = $ 48.20

$25,340 + $ 24,073 = $ 49.413

$22,860 + $ 19,324 = $42.184