2. The population of prairie dogs living in a nearby field has
been increasing rapidly. A wildlife expert counted 6 prairie
dogs four years ago, 24 prairie dogs two years ago, and 96
prairie dogs this year. At this rate, how many prairie dog will
he expect to see when she returns in two more years?
F. 384
G. 192
H. 120
J. 9,216

Answer:

9.  [tex] \frac{1}{10,000} = 0.0001 [/tex]

10. [tex] \frac{1}{81} [/tex]

Step-by-step explanation:

9. [tex] x^{-4} [/tex]

Evaluate when x = 10.

Substitute x = 10 into the expression

[tex] 10^{-4} [/tex]

Apply the negative exponent rule ([tex] a^{-n} = \frac{1}{a^n} [/tex])

Thus:

[tex] = \frac{1}{10^4} [/tex]

[tex] = \frac{1}{10^4} = \frac{1}{10,000} = 0.0001 [/tex]

10. [tex] 2a^{-1}b^{-3} [/tex]

Evaluate when a = 6 and b = 3

Substitute

[tex] (2*6^{-1})(3^{-3}) [/tex]

Apply the negative exponent rule

[tex] (2*\frac{1}{6})(\frac{1}{3^3}) [/tex]

[tex] (\frac{2}{6})(\frac{1}{27}) [/tex]

[tex] \frac{2*1}{6*27} [/tex]

[tex] \frac{1}{81} [/tex]

[tex]\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}[/tex]

plugging the value of x as 10, we get

[tex]\longrightarrow\: \: x {}^{ - 4} [/tex]

[tex]\longrightarrow\: 10 {}^{ - 4} [/tex]

[tex]\longrightarrow \dfrac{1}{10 {}^{4} } [/tex]

[tex] \longrightarrow\dfrac{1}{10000} [/tex]

[tex]\longrightarrow0.0001[/tex]

plugging the value of

[tex]\longrightarrow2 {a}^{ - 1} b {}^{ - 3} [/tex]

[tex]\longrightarrow2 \times 6 {}^{ - 1} \times 3 {}^{ - 3} [/tex]

[tex]\longrightarrow \dfrac{2}{6 \times 27} [/tex]

[tex]\longrightarrow \dfrac{2}{162} [/tex]

[tex]\longrightarrow \dfrac{1}{81} [/tex]

_____________________________

[tex] \\ \\ \mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

9514 1404 393

Answer:

  21 in²

Step-by-step explanation:

The net consists of a square and 4 triangles. The relevant dimensions of each are given, so the appropriate area formulas can be used.

Area of one triangle:

  A = 1/2bh

  A = 1/2(3 in)(2 in) = 3 in²

Area of the square:

  A = s²

  A = (3 in)² = 9 in²

__

Total net area (surface area of the pyramid):

  square area + 4 × triangle area

  9 in² + 4 × 3 in² = 21 in² . . . . surface area

Answer:

21 in.

Step-by-step explanation:

4(1/2 b X h) + 3 X 3

4(1/2 3 X 2) +9

4(1/2 X6) +9

4(3) +9

12+9

21

Answer:

how about no

Step-by-step explanation:

Answer: I think it would be 1/2, 2/2 or 2/5. If i'm wrong then i'm sorry.

Answer:

Angle 2 would be 78 degrees because of alternate exterior angle property.

Answer:

input 1 output 1 ×7 =7

input 2 output 2 ×7 =14

input 3 output 3 ×7=21

input 4 output 4×7=28

Answers are 7, 14, 21 and 28

Answer:

Let's simplify step-by-step.

yz+40

There are no like terms.

Answer: =yz+40

Hope this help :D

Answer:

-6

Step-by-step explanation:

4(2x+12)=0

8x+48=0

8x=-48

x=-6

Answer:

360

Step-by-step explanation:

Answer:

27.50

Step-by-step explanation:

I'm the one who just commented for you this is what I thought good luck.

Answer:

6x^3+3x^2

Step-by-step explanation:

Volume is b*h*w.

So, we have (3x)(x)(2x+1).

Simplifying the parentheses, we get: 3x*x*(2x+1).

3x*x= 3x^2.

Now we can simplify the other parentheses.

3x^2(2x+1) will be 6x^3+3x^2, because (3x^2)(2x)+(3x^2)(1).

Thus, we get 6x^3+3x^2

Answer:

0.0039 = 0.39% probability that she beats all 4 levels on the first try.

Step-by-step explanation:

For each level, there are only two possible outcomes. Either she can win the new level on the first try, or she cannot. The probability of winning a level on the first try is independent of any other level. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

She knows that she can win a new level on the first try 25% of the time.

This means that [tex]p = 0.25[/tex]

Janice plays through 4 levels.

This means that [tex]n = 4[/tex]

What is the probability that she beats all 4 levels on the first try?

This is P(X = 4). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{4,4}.(0.25)^{4}.(0.75)^{0} = 0.0039[/tex]

0.0039 = 0.39% probability that she beats all 4 levels on the first try.

Step-by-step explanation:

-52 + -26 = -78

hope this helps

Answer:

Answer Below  V

Step-by-step explanation:

1. They must be adjacent

2. They have to be connected with the line segment Z

Answer:

The 95% confidence interval for the population mean mileage is

(27.917, 29.593)

The 98% confidence interval for the population mean mileage

(27.737, 29.762)

Step-by-step explanation:

Step(i):-

Given that the random sample size 'n' = 64

Given that the mean of sample x⁻ = 28.75miles

Given that the standard deviation of the sample (S) = 3.4 miles

Degrees of freedom = n-1 = 64-1 =63

t₀.₀₅ = 1.9983

Step(ii):-

95% confidence interval for the population mean mileage is determined by

[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} })[/tex]

[tex](28.75-1.99\frac{3.4}{\sqrt{64} },28.75 + 1.99 \frac{3.4}{\sqrt{64} } )[/tex]

(28.75 - 0.845 , 28.75 + 0.845)

(27.917 , 29.593)

Step(iii):-

98% confidence interval for the population mean mileage is determined by

[tex](x^{-} - t_{0.02} \frac{S}{\sqrt{n} } , x^{-} + t_{0.02} \frac{S}{\sqrt{n} })[/tex]

[tex](28.75-2.3824\frac{3.4}{\sqrt{64} },28.75 + 2.3824 \frac{3.4}{\sqrt{64} } )[/tex]

(28.75 - 1.01252 , 28.75 + 1.01252)

(27.737 , 29.762)

Final answer:-

98% confidence interval for the population mean mileage is

(27.737 , 29.762)

Answer:

angle 7

hope it helps...

Answer:

area = 77 m²

Step-by-step explanation:

area = (14 x 3) +(5 x 5) + (5 x 2) = 42 + 25 + 10 = 77 m²

Answer:

Area of the base=16m squared

Volume of the figure =21m cubed

Answer:

40,000 Not sure but i finish unit and got all a's and b's

Step-by-step explanation:

Answer:

Step-by-step explanation:

Population of children in 2010:

Answer:

The discriminant is 0

Step-by-step explanation:

If the discriminant of a quadratic equation equals 0, it means 2 identical real roots existed. (x = -3 is the only x-intercept of the graph of a quadratic equation)

Answer:

126

Step-by-step explanation:

Answer:

d)

Step-by-step explanation:

Equation of circle with center at point (h, k) and radius, r.

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]

This problem:

(x − A)^2 + (y − B)^2 = C

The center is (A, B).

The radius is sqrt(C).

Answer: d)

Answer:

9.3%

Step-by-step explanation:

Morgan's approximate APR is approximately 1.0%.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Using the given formula:

Approximate APR = (Finance Charge ÷ Months) x 12 / Amount Financed

We know that the amount financed is the total cost of the sofa minus the finance charge, which is:

Amount Financed = $216.00 - $25.00 = $191.00

We also know that the finance charge was $25.00 and she paid for it over 15 months, so:

Finance Charge ÷ Months

= $25.00 ÷ 15

= $1.67

The approximate APR is:

Approximate APR = ($1.67 x 12) ÷ $191.00 = 0.1393

Rounding this to the nearest tenth gives us 0.1, which is equivalent to 1.0% as the nearest percentage.

Therefore,

Morgan's approximate APR is approximately 1.0%.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

2

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Answer:

All triangles add up to 180 degrees so...

180 - 43 - 59 = 78 degrees.

So x - 78 degrees.

x and y are supplementary angles so...

180 - 78 = 102.

So y = 102.

180 - 102 - 49 = 29 degrees

So z = 29 degrees

Hope this helps!