A bottle of eye drops has 0.42 fluid ounces of liquid l. Jayden wants to know how much liquid is in 10^2 bottles of eye drops?

Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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Each label should be dragged to the correct location in the equation as follows:

100 yards/1 × (3) feet/1 yards × (12) inch/1 foot × (2.54) cm/1 inch × 1 (meter)/100 cm = (91.44) meter

A conversion factor can be defined as a number that is typically used to convert (change) a number in one (1) set of units to another, either by dividing or multiplying.

Generally speaking, an appropriate conversion factor to an equal value must be used when it is necessary to perform any mathematical conversion.

Conversion:

1 yard = 0.9144 meter

100 yards = X meters

Cross-multiplying, we have:

X = 0.9144 × 100

X = 91.44 meters.

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Answer:  Lottie saved 330 pounds.

Step-by-step explanation:

Lottie's amount can be represented by the expression   x + 76  and Kai's amount is unknown so we will also represent by x.

We know that the combination of their savings will be 584 pounds so we will add the expression and set them equal 584.  

x + (x + 76) = 584   Now solve for x

2x + 76 = 584      

      -76     -76

2x = 508

x= 254  

If x was Kai's amount then Kai save 254 pounds.

Lottie saved 76 more that Kai

254 + 76 = 330

Lottie also save 330 pounds

Answer:

5 power 3

Step-by-step explanation:

the answer of 5 power 2 is 25,multiply by 5 to get 125,make 5 the base to get your answer

Answer:

5^3

Step-by-step explanation:

5x5^2= 25x5=125

Now that is equivalent to 5^3

5x5x5=125

Answer:

Step-by-step explanation:

Step one:

given that the function for the total cost is

c = 15.95s + 25.50------------1

the linear function above is the same as the equation of a straight line

y=mx+c-----------2

comparing the two equations

the total cost y=c

the gradient 15.95= m

the independent variable s=x

the constant term c=25.5

Now, the domain of a function is the corresponding output to an input value.

for s=5

c = 15.95(5) + 25.50

c=79.75+25.5

c=105.25

for s=9

 c = 15.95(9) + 25.50

c=143.55+25.5

c=169.05

Therefore the domain is between 105.25>=c<= 169.05

Answer:

D. (2 , 1)

Step-by-step explanation:

STEP 1: Replace all occurrences of \(y\) with \(-3x+7\) in each equation.

\(-x+14=12\\y=-3x+7\)

STEP 2: Solve for \(x\) in the first equation.

\(x=2\\y=-3x+7\)

STEP 3: Replace all occurrences of \(x\) with \(2\) in each equation.

\(y=1\\x=2\)

Answer: X has to be greater than or equal to 15/7 for the inequality to be true.

Step-by-step explanation:

here are the steps to solve the inequality 25-2x≤5(2-x):

Start by simplifying the right side of the inequality: 5(2-x) = 10 - 5x

Now we can substitute this back into the original inequality: 25 - 2x ≤ 10 - 5x

Next, we need to combine like terms on both sides of the inequality: 25 - 7x ≤ 10

Now we'll add 7x to both sides: 25 ≤ 10 + 7x

Subtract 10 from both sides: 15 ≤ 7x

Finally, divide both sides by 7: 15/7 ≤ x

The solution set is x ≥ 15/7.

So x has to be greater than or equal to 15/7 for the inequality to be true.

Answer:

-5 ≥ x  or x ≤ -5

Step-by-step explanation:

25 - 2x ≤ 5(2 - x)

distribute the 5 to eliminate the parentheses:

25 - 2x ≤ 10 - 5x

now combine like terms:

15 - 2x ≤ -5x

15 ≤ -3x

-5 ≥ x  or x ≤ -5

the inequality symbol gets switched whenever you multiply or divide by a negative value

Answer:

Just right and Isosceles

Step-by-step explanation:

Answer:

It is Right angled and Isosceles triangle

The cross product of a vector a with the sum of vectors b and c is equal to the sum of the cross products of a with b and a with c.

To prove this statement, we'll use the properties of the cross product. Let's calculate the left-hand side (LHS) and right-hand side (RHS) of the equation:

LHS: a x (b + c)

Expanding the cross product using the determinant form, we have:

LHS = (a2(b3 + c3) - a3(b2 + c2), a3(b1 + c1) - a1(b3 + c3), a1(b2 + c2) - a2(b1 + c1))

Simplifying further:

LHS = (a2b3 + a2c3 - a3b2 - a3c2, a3b1 + a3c1 - a1b3 - a1c3, a1b2 + a1c2 - a2b1 - a2c1)

Now let's calculate the right-hand side (RHS):

RHS = (a x b) + (a x c)

Using the cross product formula, we have:

RHS = (a2b3 - a3b2, a3b1 - a1b3, a1b2 - a2b1) + (a2c3 - a3c2, a3c1 - a1c3, a1c2 - a2c1)

Simplifying further:

RHS = (a2b3 - a3b2 + a2c3 - a3c2, a3b1 - a1b3 + a3c1 - a1c3, a1b2 - a2b1 + a1c2 - a2c1)

Comparing the LHS and RHS, we can see that they are equal, as all corresponding components are identical.

Therefore, we have proved that a x (b + c) = (a x b) + (a x c) using the properties of the cross product.

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Therefore, the graph with 11 vertices and 17 edges is the graph with the maximal number of vertices that satisfies the given conditions.

Let's denote the number of vertices in the graph as V. Since each vertex has a degree of at least 3, the sum of the degrees of all vertices must be at least 3V. But since each edge contributes to the degree of two vertices, the sum of the degrees of all vertices is also equal to 2E (where E is the number of edges in the graph). Therefore, we have:

3V ≤ 2E

3V ≤ 2(17)

3V ≤ 34

V ≤ 11.33

Since V is an integer, the largest possible value of V is 11. Therefore, the graph with 11 vertices and 17 edges is an example of a graph that satisfies the given conditions.

To show that there is no graph with a larger number of vertices that satisfies the given conditions, we can use the Handshaking Lemma, which states that the sum of the degrees of all vertices in a graph is equal to twice the number of edges. If we assume that there is a graph with more than 11 vertices and 17 edges, then at least one vertex must have a degree greater than 3 (since the sum of the degrees is equal to 2E). But if a vertex has a degree greater than 3, then there must be at least one vertex with degree less than 3 (since the sum of the degrees is equal to 2E). This contradicts the given condition that each vertex has a degree of at least 3. Therefore, there is no graph with a larger number of vertices that satisfies the given conditions.

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No, the Vaughns do not qualify for Chapter 7 bankruptcy.

Filing petition under chapter 7 stops most collection actions against the debtor or the debtor's property.

In the field of bankruptcy, the means test is used to determine whether an individual or family qualifies for Chapter 7 bankruptcy. This test compares the debtor's income to the median income in their state.

In this case, the Vaughns make $58,000 a year which is above Florida's median annual income of $47,778. Therefore, this stipulates they are not eligible for Chapter 7 bankruptcy.

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Answer:

The answer is B

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

y > 5x-4

This inequality is greater than, so it would be a dotted line

You would have a solid line when it is greater than or equal to ≥  or less than or equal to ≤

Answer:

Ann's bakery

Step-by-step explanation:

450/3=150

560/4=140

Answer:

Native Americans relied heavily on bison for their survival and well-being, using every part of the bison for food, clothing, shelter, tools, jewelry and in ceremonies

Answer:

what is the dot for?

Step-by-step explanation:

Answer: The answer is 9/50

Step-by-step explanation:

18 is in the hundredths place so it would be 18/100 but then you simplify that and get 9/50

Answer:

The answer is $20.

Step-by-step explanation:

The way we find how much each cookie is is by dividing 8 by 10. We get 0.8. So now we know each cookie costs 80 cents. So, for 25 cookies, all we need to do is multiply 25 and 0.8. When multiplied, you get the answer $20.

The growth rate of the bacterial colony after 3 hours is 32%, the population of a slowly growing bacterial colony after t hours is given by the function p(t) = 100 + 24t + 2t²

The growth rate of the colony is the rate of change of the population, which is given by the derivative of the function. The derivative of p(t) is p'(t) = 24 + 4t

The growth rate after 3 hours is p'(3) = 24 + 4 * 3 = 32. This means that the population of the colony is increasing by 32% after 3 hours.

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If a matrix is diagonalizable then it is invertible. This statement is False. Because invertibility doesn't affect diagonalizability.

A matrix is ​​invertible if it is diagonalizable and if none of its eigenvalues ​​is zero.

A diagonal matrix is ​​a matrix that is both upper and lower triangular. That is, all elements above and below the main diagonal are zero, hence the name "diagonal matrix". Its mathematical definition is, if

A is a square matrix

aij = 0 when i ≠ j,

then the matrix A = [aij] is said to be a diagonal matrix.

Eigenvalues ​​are a special set of scalars associated with systems of linear equations. It is mainly used for matrix equations. "Eigen" is a German word meaning "appropriate" or "characteristic". Therefore, the term eigenvalue can also be labeled as eigenvalue, characteristic root, eigenvalue, or potential root. Simply put, eigenvalues ​​are scalars used to transform eigenvectors.

The basic equation is

Ax = λx

The number or scalar value "λ" is an eigenvalue of A.

In mathematics, an eigenvector corresponding to the non-zero real eigenvalue points in the direction in which the transformation is stretched, and an eigenvalue is taken as a factor by which it is stretched. In this case, the eigenvalues ​​are negative and the direction of the transformation is negative.

Eigenvalues ​​can be zero. We do not consider the zero vector as an eigenvector: since A 0 = 0 = λ 0 for each scalar λ the associated eigenvalue will be undefined.

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Inequality that identifies the years in which the world record in the 1500 meter run will be less than 3.3 minutes is t < (3.85 - 3.3) / 0.075.

The inequality that identifies the year in which the 1500m world record was less than 3.3 minutes is t<. (3.85 - 3.3) / 0.075.

The given formula R = -0.075t + 3.85 represents a linear equation to predict his 1500m world record t years from 1930. R represents the recording time in minutes.

To determine the year in which the world record was less than 3.3 minutes, set the inequality R < 3> (-0.55) / (-0.075).

Simplifying the right side of the inequality, t > (3.85 - 3.3) / 0.075. Therefore, the inequality that identifies years in which the 1500m world record is less than 3.3 minutes is t < . (3.85 - 3.3) / 0.075. 

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False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.

To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).

Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.

Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:

f'(x) = 5cos(x) - sin(x).

This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).

In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).

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Answer:

D

Step-by-step explanation:

92(23 + 36)

92(59)

92*59=5428

Answer: D. 5,428

Step-by-step explanation:

According to the rules of Order of Operations we first solve the problem in parentheses.

23+36=59

Then we multiply that number by 92.

59 x 92 = 5,428

Each model should be produced on a weekly basis to maximize net profit is $75,900.

What is Net profit?

In both business and accounting, net income or profit is an entity's revenue less cost of goods sold, costs, depreciation and amortisation, interest, and taxes for a certain accounting period.

As given,

Number of products sold:

T ≥ 1.5G

Maximize Profit Z = 150T + 130G

Labor Constraint:

Labor hours Available:

Production Department:

Number of labor hours available per day = 58 × 7 = 406

Number of days in a week = 5

Number of lobor ours available per week = 406 × 5 = 2030

Assembly Department:

Number of labor hours available per day = 25 × 7 = 175

Number of days in a week = 5

Number of labor hours available per week = 175 × 5 = 875.

Labor hours Required:

Labor hours required for G1 model:

Labor hours required at Production department = 3.5G

Labor hours required at assembly department = 2G

Labor hours required for T1 model:

Labor hours required at Production department = 4T

Labor hours required at Assembly department = 1.5T

Total labor hours required at Production department = 3.5G + 4T

Total labor hours required at Assembly department = 2G + 1.5T.

Constraint:

Labor hours required ≤ Labor hours Available.

Production department Labor constraint

3.5G + 4T ≤ 2030

Assembly department Labor constraint:

2G + 1.5T ≤ 875

The function:

Maximum Profit Z = 150T +130G

Constraint:

3.5G +4T ≤ 2030

2G + 1.5T ≤ 875

T ≥ 1.5G

Suppose that for example:

10.5G +12T = 6090

 16G + 12T = 7000

Solve both equations simultaneously,

5.5G = 7000 - 6090

5.5G = 910

    G = 910/5.5

    G = 363

Since, T > G

Hence,

T = 363,

G = 165

Calculate Profit:

150T + 130G = 150 × 363 + 130 × 165

                     = 54450 + 21450

                     = 75900

Hence, each model should be produced on a weekly basis to maximize net profit is $75,900.

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Answer:

365.76 cm

Step-by-step explanation:

Let's go down units one by one

1 yard = 3 feet

1 yard / 3 feet = 1

3 feet / 1 yard = 1

multiply 4 yards by 1 to ensure equality, but put the yard unit at the bottom so the yards cancel out

4 yards * 1 = 4 yards * 3 feet / 1 yard = 12 feet

1 foot = 12 inches

12 inches / 1 foot = 1

12 feet * 12 inches / 1 foot = 144 inches

1 inch = 2.54 cm

2.54 cm / 1 inch = 1

144 inches * 2.54 cm / 1 inch = 365.76 cm

Answer:

so the cell phone plan is $70 per month

Step-by-step explanation:

solution in question

Answer:

x<3

Step-by-step explanation:

Answer:

x<3

Step-by-step explanation:

here are the steps :) -

4x-7<5              given

4x-7+7<5+7      add 7 on both sides to cancel out the -7 so we can get x alone

4x<12                simplify

x<3                    divide by 4 on both sides to get x alone

x<3                    answer

i hope this helps :))

-185/100 = -1.85

a) -1.08 this number id greater than -1.85

b) 190/100 = 1.9 this number is greater than -1.85

c) -35/20 = -1.75 this number is greater than -1.85

All these numbers are greater than -185/100