Let t represents the number of months since January. The number of termites in a nest in any given month can be represented by the function
Month 0 1 2 3 4
Number 20 45 101 228 513
What is the positive difference between the original number of termites in the nest and the original number of ants in the box?

Answer:

nnkbnlkn lk kgkbnlnbkvnbklcnlkbnblknbklv.

Step-by-step explanation:

Answer:

-2 and -1

have a good day

\(n=\frac{25}{2}\).

\(\frac{10}{8} =\frac{n}{10}\)

\(\frac{10}{8} =\frac{n}{10}\)

\(10*(\frac{10}{8}) =(\frac{n}{10})*10\) ----> Multiply both sides by 10.

\(10*(\frac{10}{8}) =n\)----> Simplify.

\(\frac{10*10}{8} =n\)----> Solve the fraction product.

\(\frac{100}{8} =n\)----> Simplify.

\(\frac{100/4}{8/4} =n\)----> Simplify by dividing the numerator and denominator by the       same number.

\(\frac{25}{2} =n\)----> Simplify.

\(n=\frac{25}{2}\)----> Reorganize.

.

\(n=\frac{25}{2}\).

Note. Check the attched image to see the manual solution of the equation. We took the same steps I explained previously in the manual solution.

Answer:

x = - 1

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

P is undefined when x = - 1

Answer:

y = 5 sin (2x) + 4

Step-by-step explanation:

this is sines function,

the amplitude is [9 - (-1)]/2 = 10/2 = 5

the period is 2πx/π = 2x

the x-axis of actual function is at y = 4

so, the function is :

y = 5 sin (2x) + 4

Answer:

(15,-40)

Step-by-step explanation:

Answer:

1. x, -5 y, 10

2. x, 2 y, 5

Step-by-step explanation:

I couldn't screenshare the graph so i just gave you were to graph the answers

Answer:

If you're looking for that as an equation which i assume you are 3(4.5+x)-4.7

Step-by-step explanation:

Answer:

16x+8y

Step-by-step explanation:

Let's simplify step-by-step.

3x+8y+13x

Combine Like Terms:

=3x+8y+13x

=(3x+13x)+(8y)

=16x+8y

Answer:

12 3/5

Step-by-step explanation:

Answer:

12 3/5       can i have brainlist??                                                                          

Answer:

  $26.03

Step-by-step explanation:

When a quantity is split into 8 equal parts, each part is 1/8 of the whole.

  1/8 × $208.24 = $26.03

Each friend pays $26.03.

The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)

To explain further, we need to understand the properties of rational and irrational numbers.

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.

In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.

Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.

Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.

Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.

In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)

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Answer:

2,-1,-2,-4

Step-by-step explanation:

Answer:

10 pi

Step-by-step explanation:

circumference of the circle equals = 2π R = 2*pi* radius

so circumference = 2*5*π = 10π = 10 pi (in terms of pi)

The formula for the circumference of a circle is C = 2πr, where "C" is the circumference, "π" is pi (approximately equal to 3.14), and "r" is the radius.

Given that the radius of the circle is 5 inches, we can substitute this value into the formula to find the circumference:

C = 2πr

C = 2π(5)

C = 10π

Therefore, the circumference of the circle is 10π inches.

Answer:

(a) The average baggage-related revenue per passenger is $15.70.

(b) The standard deviation of baggage-related revenue is $19.95.

(c) The expected revenue for 120 passengers is $1,884.

Step-by-step explanation:

Let the random variable X represent the baggage-related revenue per passenger.

It is provided that the baggage fees is $25 for the first bag and $35 for the second.

The probability model is:

    X :   0         25      60

P (X) : 0.54    0.34    0.12

(a)

Compute the average baggage-related revenue per passenger as follows:

\(E(X)=\sum {X\times P (X)}\)

         \(=(0\times 0.54)+(25\times 0.34)+(60\times 0.12)\\\\=0+8.50+7.20\\\\=15.70\)

Thus, the average baggage-related revenue per passenger is $15.70.

(b)

Compute the standard deviation of baggage-related revenue as follows:

\(E (X^{2})=\sum X^{2}\times P(X)}\\\\=(0^{2}\times 0.54)+(25^{2}\times 0.34)+(60^{2}\times 0.12)\\\\=0+212.50+432\\\\=644.5\\\)

\(SD(X)=\sqrt{E(X^{2})-(E(X))^{2}}\)

           \(=\sqrt{644.5-(15.7)^{2}}\\\\=19.950188\\\\\approx 19.95\)

Thus, the standard deviation of baggage-related revenue is $19.95.

(c)

Compute the expected revenue for 120 passengers as follows:

\(E(R)=n\times E(X)\)

        \(=120\times 15.7\\\\=1884\)

Thus, the expected revenue for 120 passengers is $1,884.

Answer:

27y + 6r

Step-by-step explanation:

use the distributive property

3 * 9y = 27y

3 * 2r = 6r

27y + 6r

Plz mark as brainliest if this helped! Have a nice day!!!

-Lil_G

Answer:

2969 cm³

Step-by-step explanation:

Volume of cylinder is

V=πr²h

=π*7.5²*16.8

=2968.8

=2969 cm³

Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

Answer:

A

Step-by-step explanation:

hope this helps

they will have 200$ each

Answer:

C) 36

Step-by-step explanation:

You have to add all the numbers together and then divide by the amount of numbers, in your case 5.

Answer:

Step-by-step explanation:

Given the dataset 147, 154, 156, 161, 162,

Mean is the sum of the dataset divided by the total number of dataset.

a) Mean = \(\sum Xi/N\)

\(\overline x = \dfrac{147+154+156+161+162}{5}\\ \\\overline x = \dfrac{780}{5}\\ \\\overline x= 156\)

b) The formula for calculating the deviation from the mean for each value is expressed as \(Xi - \overline X\) where;

Xi is value of each item

xbar is the mean = 156

Mean deviation of 147 = 147-156 = -9

Mean deviation of 154 = 154-156 = -2

Mean deviation of 156 = 156-156 = 0

Mean deviation of 161 = 161-156 = 5

Mean deviation of 162 = 162-156 = 6

c) Sum of the deviations \(\sum Xi - \overline X\) = (-9-2+0+5+6)

\(\sum Xi - \overline X\) = -11+11

\(\sum Xi - \overline X\) = 0

Hence the sum of deviation from the mean is 0

a)  Z-score for Patrisse test grade is 0.7288

b) z-score for Makayla test grade is -0.7441

c) Patrisse did better.

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

Z-score for Patrisse test grade.

X= 81.4, \(\mu\) = 72.8, \(\sigma\) = 11.8

Z= x-  \(\mu\) /  \(\sigma\)

Z= 81.4 - 72.8/ 11.8

Z= 0.7288

Now, z-score for Makayla test grade.

X= 60.6, \(\mu\) = 67, \(\sigma\) = 8.6

Z= x-  \(\mu\) /  \(\sigma\)

Z= 60.6 - 67/ 8.6

Z= -0.7441

Hence, Patrisse did better as she had better z- score.

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Answer:

-------------------------

Initial value of the toy is €450.

After 10% increase the value is:

After further 10% decrease the value becomes:

The final value of the toy is €445.50.

Answer:

i think its

x^2 + (y + 2)^2 = 21.

Step-by-step explanation:

You need to re copy and paste it, I can’t see the full possible answers/question.

Answer:

0

Step-by-step explanation:

Step 1:

- 4k + 1 = 1 + k + 3k     Equation

Step 2:

- 4k + 1 = 1 + 4k     Add

Step 3:

1 = 1 + 8k       Add 4k on both sides

Step 4:

0 = 8k     Subtract 1 on both sides

Answer:

k = 0

Hope This Helps :)

Answer:

≈ 75,4

Step-by-step explanation:

Given:

A = 452,39

Find: C - ?

First, we need to find the radius:

A = πr^2

πr^2 = 452,39 / : π

r^2 = 452,39/π

r ≈ 12

Now we can find the circumference:

C = 2π × 12 = 24π ≈ 75,4

Step-by-step explanation:

area of circle = 452.39,πr square = 452.39. 3.14r = 452.39 r square = 144 r = 12 cm diameter = 12x2= 24

The solution for p is 701/30 - 3p/7.

What is an equation?

A mathematical statement called an equation demonstrates the equality of two mathematical expressions. Based on the degree, there are three different sorts of equations. Equations that are linear, quadratic, and cubic. In algebra, an equation is a declaration of equivalence that includes one or more variables or unknowable quantities.

Here, we have

Given: 84,000m + 36,000p = 1,962,800

We have to simplify this equation and find the value of p.

84,000m + 36,000p = 1,962,800

84,000m = 1,962,800 -36,000p

m = 1,962,800/84,000 -36,000p/84,000

m = 701/30 - 3p/7

Hence, the solution for p is 701/30 - 3p/7.

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