You have an ant farm with 23 ants. The population of ants in your farm will double every 3 months. The table shows the population growth of the ants over nine months. Decide whether the table represents a linear function or a nonlinear function. After one​ year, how many ants will there be in the ant​ farm?

The total urine patient/client has been measuring at home is 2.838 liters.

Given that,

the patient/client has been measuring urine at home with a quart milk carton and states voiding 1 quarts 2 days ago and 2 quarts yesterday.

We know that 1 quart = 0.946 litre

and 2 quarts = 1.892 litre

Therefore total amount = 0.946 + 1.892

                                       = 2.838

Hence the total urine patient/client has been measuring at home is 2.828 litres.

What is Quart?

The quart is an English unit of volume equal to a quarter gallon. It is a quarter of a gallon. Measurement of volume, capacity. Its unit of measurement for liquids, equal to approximately 1.14 litres in the UK, or 0.95 litrs in the US.

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If the Nth bounce is the first bounce with a height of less than 5 feet, then N = 5 feet.

In the given question, a ball is dropped from 10 feet. After it is dropped, the height of each bounce is 80% of the height of the previous bounce. For example, the height of the 1st bounce is 8 feet. We need to find the number of bounces before the height of the bounce becomes less than 5 feet.

Given that a ball is dropped from 10 feet and the height of each bounce is 80% of the height of the previous bounce.

Here,

First bounce: 10 feet

Second bounce: 10 * 0.8 = 8 feet

Third bounce: 8 * 0.8 = 6.4 feet

Fourth bounce: 6.4 * 0.8 = 5.12 feet

Fifth bounce: 5.12 * 0.8 = 4.096 feet

Thus, the height of the fifth bounce is less than 5 feet.

Therefore, the Nth bounce is the fifth bounce and N = 5.

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Let's begin by listing out the given information:

2.

a)

b)

Let p = the original price

p - .4p = 12

.96p = 12

p = 12.5

The original price was $12.50

12.5 - 12 = .5

The amount of the discount was $.50

Answer:

6

Step-by-step explanation:

We want to use the distance formula for this problem

\(\sqrt{(x_{2} -x_{1} )^{2} +(y_{2}-y_{1}) ^{2} }\)

\(\sqrt{(-8+8)^{2} +(-2-4)^{2} }\)

\(\sqrt{0+36}\)

The distance between these two points is 6

Answer:

4-(x-3)²

Step-by-step explanation:

5-6x-x²

=4-x²-6x+9

=4-(x-3)²

See the image uploaded for step by step explanation. thank you

In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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The value of x will be 0 and x = 5. The correct option is A.

The x-intercept is the point at which a line intersects the x-axis, and the y-intercept is the point at which the line intersects the y-axis.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the x-intercept(s) of the function is the quantity of 5x² - 25x.

The value of the x-intercept will be calculated as,

5x² - 25x = 0

5x( x -25) = 0

5x = 0 and x - 5 = 0

x = 0  and x = 5

Therefore, the value of x will be 0 and x = 5. The correct option is A.

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Answer:

it's x = 5

Step-by-step explanation:

got it right on the test.

20.8

Answer:

solution given:

\(\frac{199.68}{9.6}\)

dividing numerator and denominator by 100

\(\frac{199.68*100}{9.6*100}\)

\(\frac{19968}{960}=\frac{2*2*2*2*2*2*2*2*2*3*13}{2*2*2*2*2*2*3*5}=\frac{2*2*2*13}{5}=\frac{104}{5}=20.8\\\)

Step-by-step explanation:

Answer:

20.800

Step-by-step explanation:

Change the divisor 9.6 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

We then have the equations:

1996.8 ÷ 96 = 20.800

and therefore:

199.68 ÷ 9.6 = 20.800

Both calculated to 3 decimal places.

Answer:

D

Step-by-step explanation:

using the rule of logarithms

log \(x^{n}\) = n logx

given

2(\(5^{x}\)) = 14 ( divide both sides by 2 )

\(5^{x}\) = 7 ( take log of both sides )

log \(5^{x}\) = log7 , then

xlog5 = log7 ( divide both sides by log5 )

x = \(\frac{log7}{log5}\)

The probability of the man getting a matched pair of socks when he randomly selects two socks from a drawer is 5/45, or approximately 0.11.

To calculate the probability of the man getting a matched pair of socks when he randomly selects two socks from a drawer, we need to consider the number of possible combinations of socks that result in a match and divide that by the total number of possible combinations of two socks.

The man has a total of 5 pairs of socks, or 10 socks, so there are 10 choose 2, or 45, possible combinations of two socks. Out of these, 5 of them result in a match, because there are 5 pairs of matching socks in the drawer.

Therefore, the probability of getting a matched pair of socks is 5/45, or approximately 0.11. This means that there is an 11% chance that the man will select a matched pair of socks if he randomly selects two socks from the drawer.

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Answer:

Even with a correlation value of 0.94, it is possible that the relationship could still be better represented by a nonlinear model.

Answer:

A =12.92 cm^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

A = 1/2 ( 7.6) ( 3.4)

A =12.92 cm^2

Answer:

\( = 12.92 {cm}^{2} \)

Step-by-step explanation:

\(area = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times 7.6 \times 3.4 \\ = \frac{25.84}{2} \\ = 12.92 {cm}^{2} \)

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We will have a Deficit balance of $30 at the end of the month.

"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."

Weekly net income = $380

Monthly net income = $380 * 4 weeks = $1520.

Monthly expenses = $1550

Balance = Monthly income - monthly expenses = $-30.

The negative sign shows a deficit of $30 monthly

Therefore, We will have a Deficit balance of $30 at the end of the month.

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Answer:

yhyhyhyh rashford gonna score a hat trick vs spurs

Step-by-step explanation:

The solution to the system of equations is X = 7 and Y = 10.

1. To find the values of x and y, we can solve the given system of equations:

There are several methods to solve a system of equations, such as substitution, elimination, or matrix methods. Here, we'll use the method of elimination to eliminate the variable X.

2. Adding both equations together:

Equation 1 + Equation 2: (X + 3Y) + (-X + 4Y) = 37 + 33

Simplifying: 3Y + 4Y = 70

Combining like terms: 7Y = 70

Dividing by 7: Y = 10

3. Now that we have the value of Y, we can substitute it back into one of the original equations to find X. Let's use Equation 1:

X + 3(10) = 37

X + 30 = 37

4. Subtracting 30 from both sides: X = 7

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37.40 is  large a sample should you take in confidence interval.

What does confidence interval mean?

For the 95% confident interval of population mean , the margin of error (ME)

       ME = Z 1 - 0.05/2 5/√n

           2 = 1.96 * 6.24/√n

          n = ( 1.94 * 6.24/2)²

           n = 37.40

the required sample size (n) is 38 .

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Answer:

1) co-interior

2) alternate exterior

3) alternate interior

4) corresponding

5) vertical

6) supplementary

Answer:

∠2 and ∠5

∠6 and ∠3

Step-by-step explanation:

Vertical angles are a pair of non-adjacent angles formed by intersecting two straight lines.

Looking at the options, the answers are ∠2 and ∠5, ∠6 and ∠3

solution of the linear equation is x = (2a - 16)/ 3 and y = - (a+16)/ 9

An algebraic expression that shows a relationship between two variables   that have only first order term. One of the main criteria for linear equation is that we get a straight line when plot this equation in a coordinate system.

.

we are given, two linear equations x - a -3y = 0

and a - 2x -3y - 16 =0

from the first equation, x = a + 3y

we put the value of x in the second equation, a - 2(a +3y) - 3y -16= 0

                                                                     a - 2a - 6y - 3y -16 = 0

                                                          - a - 9y -16 =0

                                                   - (a + 16) = 9y

                                              y = - (a+16) / 9

now we put the value of y in the equation, x = a + 3y

                                    get, x = a+ 3 [ - (a+16)] / 9

                                      x = a + [ - (a+16)] / 3

                                          x = (3a - a -16) / 3

                              x = (2a - 16)/ 3

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Answer:

When the determinant of a matrix is almost 0, it means that the matrix is close to being singular, which means that its inverse does not exist or is very close to not existing. This has important implications for the solution of systems of linear equations represented by the matrix.

Specifically, if the determinant of a matrix is almost 0, then the matrix is almost singular, which means that its columns are almost linearly dependent. This, in turn, means that the system of equations represented by the matrix has almost linearly dependent equations, which can lead to multiple solutions or no solutions at all.

In terms of the sensitivity of the solution to changes in the constants of the system, a small change in the constants can lead to a large change in the solution when the determinant of the matrix is almost 0. This is because the inverse of the matrix is very sensitive to changes in its entries when the determinant is almost 0.

For example, consider a system of linear equations represented by a matrix A with determinant very close to 0, and let b be the vector of constants on the right-hand side of the equations. Then, the solution to the system can be approximated by the product of the inverse of A (if it exists) and b, that is:

x = A^(-1) b

However, if A is almost singular, then its inverse is very sensitive to changes in its entries, and a small change in b can lead to a large change in x. This can make the solution to the system unreliable and unstable, and can be a source of numerical errors in computations.

Step-by-step explanation:

Answer:

\((6x + 5) + (8y + 9x) + ( - 3 - 3y)(6x + 5) + (8y + 9x) -( 3 - 3y) \\ =6x + 5 + 8y + 9x - 18x - 15 - 18xy - 15y + 8y + 9x - 3 - 3y \\ =6x - 2y - 18xy - 13\)

Answer: 18 grams of fat

Step-by-step explanation:

find how many grams per ounce; 96/16=6

6 grams per ounce

3x6= 18

Based on the information provided, we have a random sample of 60 measurements taken from a population with a mean (µ) of 25 and a variance (σ²) of 200.

The mean of the sample (X) will be equal to the population mean, so X = 25.

To calculate the standard error (SE) of the sample, we use the formula SE = σ / √n, where σ is the population standard deviation and n is the sample size. Since the variance is given as 200, the standard deviation (σ) is the square root of 200, which is approximately 14.14.

Now, we can calculate the standard error: SE = 14.14 / √60 ≈ 1.82.

So, the pair for the mean and standard error of x is (25, 1.82).

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Given the lengths of the two sides and the angle between them, only one triangle can be created under the given circumstances.

1. Given that angle B is 32.5°, side AB is 37 cm, side AC is 26 cm, etc.

2. Calculate side BC using the Law of Cosines:

BC = (2(AB)(AC)cosB) + (AB)(AC)2

3. Input the values that are known: BC = (37 2 + 26 2 - 2(37)(26)cos32.5°)

4. Condense: BC = (1369 plus 676 minus 1848 cos 32.5 °)

5. Determine BC =. (2095 - 1539.07)

6. Condense: BC = 556.93

7. Determine BC as 23.701 cm.

8. Since the lengths of the two sides and the angle between them are specified, only one triangle can be formed under the current circumstances.

By applying the Law of Cosines, we can determine the length of the third side, BC, given that side AB is 37 cm, side AC is 26 cm, and angle B is 32.5°. In order to perform this, we must first determine the cosine of angle B, which comes out to be 32.5°. Then, we enter this value, together with the lengths of AB and AC, into the Law of Cosines equation to obtain BC.BC = (AB2 + AC2 - 2(AB)(AC)cosB) is the equation. BC is then calculated by plugging in the known variables to obtain (37 + 26 - 2(37)(26)cos32.5°). By condensing this formula, we arrive at BC = (1369 + 676 - 1848cos32.5°). Then, we calculate BC as BC = (2095 - 1539.07), and finally, we simplify to obtain BC = 556.93. Finally, we determine that BC is 23.701 cm. Given the lengths of the two sides and the angle between them.

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Answer:

Step-by-step explanation:

do the thing times 2

Answer: The person above his right good job

Step-by-step explanation:

Triangle ABC's longest side is AB, and the measure of its interior angle B is 70°. In any triangle, the longest side is always opposite the largest angle. Therefore, angle B is the largest angle in triangle ABC. Since the sum of the interior angles of a triangle is always 180 degrees.

we can find the measure of angle A by subtracting the measures of angles B and C from 180 degrees.angle A = 180 degrees - angle B - angle C Since angle B is given as 70 degrees, we only need to find the measure of angle C to solve for angle A.

Since AB is the longest side in triangle ABC, angle C must be smaller than angle A. This is because the largest angle in any triangle is always opposite the longest side. Therefore, the measure of interior angle A must be larger than the measure of interior angle C.

We can use the fact that the sum of the interior angles of a triangle is always 180 degrees to set up an equation for angle C.

angle A + angle B + angle C = 180 degrees
Substituting in the given values, we get:
angle A + 70 degrees + angle C = 180 degrees

Simplifying, we get:

angle A + angle C = 110 degrees

Since angle C must be smaller than angle A, we can set up an inequality:
angle C < angle A

Substituting in the expression we found for angle C, we get:
angle A > angle A + angle C
angle A > angle A + (110 - angle A)
angle A > 110 degrees

Therefore, the measure of the interior angle A must be larger than 110 degrees.

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