Terri went running 9 times last month. The distance she ran is shown in the line plot.

The first 3 times she went running she ran the same distance. What is the total distance she ran on those 3 days. What is the distance in length between the longest and shortest distance she ran?

Answer:

x - 11

Step-by-step explanation:

f(x) = -5x - 4

g(x) = 6x - 7

Find f(x) + g(x).

To find the sum of f(x) and g(x), we must substitute f(x) and g(x) with the given equations:

(-5x - 4) + (6x - 7)

To solve, we combine like terms.

-5x + 6x = x

-4 + (-7) = -11

Therefore, we end up with x - 11.

Hope this helps.

Answer:

147.3°

Step-by-step explanation:

Step 1: Find the sum of all interior angles

180(n - 2)

n = 11

180(11 - 2)

180(9)

1620°

Step 2: Find 1 angle

1620/11 = 147.273°

Answer:

144 or 140

Step-by-step explanation:

If you meant round to the nearest ten it would be 140

Answer:

The answ is 20 7/8

Step-by-step explanation:

Answer:

44 7/8

Step-by-step explanation:

Hope this helps!

And just to make sure do you mean twelve and seven eighths?

18. An infant weighs 11 pounds which is equivalent to 4.98 kg. Using the 100/50/20 Rule, the required amount of fluid per day for an infant between 11-20 kg is 50 ml/kg/day. So, the required amount of fluid per day in ml is 4.98 kg x 50 ml/kg/day = 249 ml/day.

19. A child weighs 31lbs and 8 ozs which is equivalent to 14.21 kg. Using the 100/50/24 Rule, the required amount of fluid per day for a child over 20 kg is 20 ml/kg/day. So, the required amount of fluid per day in ml is 14.21 kg x 20 ml/kg/day = 284.2 ml/day.

If no oral fluids are consumed, the hourly IV flow rate to maintain proper hydration would be: 284.2 ml/day / 24 hours/day = 11.8 ml/hour.

The question is about fluid requirements for infants and children, and it is using the 100/50/20 Rule for Daily Fluid Requirements (DFR) to calculate the required amount of fluid per day for different weight ranges. The 100/50/20 Rule is a guideline used to determine the appropriate amount of fluid that infants and children should receive on a daily basis based on their weight. The rule states that for infants and children up to 10 kg, the recommended fluid intake is 100 ml/kg/day, for those between 11-20 kg it is 50 ml/kg/day, and for those over 20 kg it is 20 ml/kg/day.

The question also asking about the hourly IV flow rate to maintain proper hydration if no oral fluids are consumed.

This subject is part of pediatrics, more specifically in the field of fluid and electrolyte balance and management.

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In the balance sheet, mortgage notes payable are reported as a long-term liability only.

Mortgage notes payable represent the amount owed by a company for a mortgage loan. These loans are typically long-term obligations that are expected to be repaid over an extended period, often several years. Therefore, mortgage notes payable are classified as long-term liabilities in the balance sheet.

Current liabilities are obligations that are expected to be settled within a short period, usually one year or less. Since mortgage notes payable typically have a longer repayment term, they do not meet the criteria to be classified as current liabilities.

By reporting mortgage notes payable as a long-term liability, the balance sheet provides a clear distinction between the company's short-term and long-term obligations, helping stakeholders understand the company's financial position and obligations over different time horizons.

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The graph of the function S(x) is given by the image presented at the end of the answer.

The function in the context of this problem is given as follows:

\(S(x) = 3\sqrt{x - 1}\)

The parent function in the context of this problem is given as follows:

\(\sqrt{x}\)

Hence the transformations to the parent function in this problem are given as follows:

Hence the domain of the function is given as follows:

x >= 1.

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Answer:

A . m = 11/6

its going to be a

Based on the given information, the researcher should not reject the null hypothesis if using an alpha level of 0.05.

In hypothesis testing, the null hypothesis is typically assumed to be true until there is sufficient evidence to reject it. To determine whether to reject the null hypothesis, researchers often compare the calculated F-value from an ANOVA test with the critical F-value. The critical F-value is based on the significance level (alpha) chosen for the test. In this case, the given F-value is 3.47 with degrees of freedom (3, 32), indicating that there are three groups and a total of 32 observations. To make a decision, the researcher needs to compare the calculated F-value to the critical F-value. If the calculated F-value is greater than the critical F-value, the null hypothesis is rejected. However, if the calculated F-value is less than or equal to the critical F-value, the null hypothesis is not rejected. Since the critical F-value corresponding to alpha = 0.05 is not provided in the question, we cannot determine whether the null hypothesis should be rejected.

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On solving the provided question we can say that Vector v have an initial point at (7, -6) and a terminal point at (1, -4). so, vector v is defined as

V = ( 1-7, -4+6) => V = (-6,2)

In mathematics, a vector is a quantity with magnitude and direction but no location. Acceleration and velocity are two examples of such numbers. A thing with both magnitude and direction is called a vector. A vector can be conceptualised geometrically as a directed line segment, the length of which corresponds to the magnitude of the vector, and the direction of which is denoted by an arrow. Size and direction are two independent characteristics of a quantity or phenomena known as a vector. The phrase also describes how these numbers are represented mathematically or geometrically. In nature, vectors may be found in electromagnetic fields, weight, momentum, force, and velocity.

initial point of a vector is (x1,y1) and terminal point is (x2, y2) and terminal point is

V = (x2-x1 , y2-y1 )

Vector v have an initial point at (7, -6) and a terminal point at (1, -4). so, vector v is defined as

V = ( 1-7, -4+6)

V = (-6,2)

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Answer:

3⁹

Step-by-step explanation:

you can use a calculater and it will give 19683 and 3⁹ gives 19683

Answer:

2,-3

Step-by-step explanation:

Because that's where the lines intercept, the other answers either have the wrong x and y or x and y switched.

Answer:

8

Step-by-step explanation:

Given the following system of equations, 2x - 3y = 1 x - z = 0 x + y + z = 5In order to solve the system of equations, we can represent it in matrix form, as shown below: $$\begin{bmatrix} 2 & -3 & 0 \\ 1 & 0 & -1 \\ 1 & 1 & 1 \\ \end{bmatrix} \begin{bmatrix} x \\ y \\ z \\ \end{bmatrix} = \begin{bmatrix} 1 \\ 0 \\ 5 \\ \end{bmatrix}$$4. To calculate the inverse of matrix A,

let's set up an augmented matrix [A | I], where I is the identity matrix. $$\begin{bmatrix}[ccc|ccc] 2 & -3 & 0 & 1 & 0 & 0\\ 1 & 0 & -1 & 0 & 1 & 0\\ 1 & 1 & 1 & 0 & 0 & 1\\ \end{bmatrix}$$

Performing row operations on the above matrix, we can calculate the inverse of matrix A:$$\begin{bmatrix}[ccc|ccc] 1 & 0 & 0 & \frac{1}{5} & -\frac{3}{5} & \frac{3}{5}\\ 0 & 1 & 0 & \frac{1}{5} & -\frac{1}{5} & -\frac{2}{5}\\ 0 & 0 & 1 & -\frac{2}{5} & \frac{4}{5} & -\frac{1}{5}\\ \end{bmatrix}$$Therefore, the inverse of matrix A is $$A^{-1} = \begin{bmatrix} \frac{1}{5} & -\frac{3}{5} & \frac{3}{5}\\ \frac{1}{5} & -\frac{1}{5} & -\frac{2}{5}\\ -\frac{2}{5} & \frac{4}{5} & -\frac{1}{5}\\ \end{bmatrix}$$5.

Using the inverse of matrix A, we can solve the system of equations as follows:$$\begin{bmatrix} x \\ y \\ z \\ \end{bmatrix} = A^{-1} \begin{bmatrix} 1 \\ 0 \\ 5 \\ \end{bmatrix}$$$$\begin{bmatrix} x \\ y \\ z \\ \end{bmatrix} = \begin{bmatrix} \frac{1}{5} & -\frac{3}{5} & \frac{3}{5}\\ \frac{1}{5} & -\frac{1}{5} & -\frac{2}{5}\\ -\frac{2}{5} & \frac{4}{5} & -\frac{1}{5}\\ \end{bmatrix} \begin{bmatrix} 1 \\ 0 \\ 5 \\ \end{bmatrix}$$$$\begin{bmatrix} x \\ y \\ z \\ \end{bmatrix} = \begin{bmatrix} \frac{3}{5} \\ -\frac{2}{5} \\ \frac{4}{5} \\ \end{bmatrix}$$

Therefore, the solution of the given system of equations is x = 3/5, y = -2/5, and z = 4/5.

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Answer:

Step-by-step explanation

diameter makes a right angle at the circumference of the circle.

f=90°

The normal distribution calculation for the area shows the computer center should purchase the new computers to meet the usage needs.

Mean time of computer usage (μ) = 36 minutes

Standard deviation (σ) = 5 minutes

Number of uses recorded each week = 10,000

To determine whether the computer center should purchase new computers,

Calculate the probability of recording more than 2000 uses of longer than 40 minutes at each sitting in a week.

To find the probability, standardize the value of 40 minutes using the z-score formula,

z = (x - μ) / σ

where x is the value we are interested in (40 minutes),

μ is the mean (36 minutes),

and σ is the standard deviation (5 minutes).

Plugging in the values, we get,

z = (40 - 36) / 5

= 4 / 5

= 0.8

Next, find the area under the normal distribution curve to the right of the z-score of 0.8.

This represents the probability of recording computer usage longer than 40 minutes.

Using a standard normal distribution calculator, the area to the right of 0.8 is approximately 0.2119.

To find the number of uses longer than 40 minutes,

multiply this probability by the total number of uses recorded each week,

Number of uses longer than 40 minutes

= 0.2119 × 10,000

≈ 2119

Since the number of uses longer than 40 minutes is approximately 2119, which is greater than 2000.

Therefore, using normal distribution the computer center should purchase the new computers to meet the usage needs.

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Both solutions satisfy the original equation. As a result, there are no extraneous solutions in this case.

To determine the number of extraneous solutions in the given equation, let's simplify it step by step:

Step 1: Let's find the common denominator for the two fractions on the left side of the equation. The common denominator is (2m + 3)(2m - 3).

Step 2: Apply the common denominator to both fractions:

[(2m)(2m - 3)]/[(2m + 3)(2m - 3)] - [(2m)(2m + 3)]/[(2m + 3)(2m - 3)] = 1

Step 3: Simplify the numerators:

\([4m^2 - 6m - 4m^2 - 6m]/[(2m + 3)(2m - 3)] = 1\)

[-12m]/[(2m + 3)(2m - 3)] = 1

Step 4: Cancel out common factors:

-12m = (2m + 3)(2m - 3)

\(-12m = 4m^2 - 9\)

Step 5: Rearrange the equation:

\(4m^2 + 12m - 9 = 0\)

Step 6: Solve the quadratic equation using factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula:

\(m = (-b ± √(b^2 - 4ac))/(2a)\)

For our equation, a = 4, b = 12, and c = -9. Substituting these values:

m = (-(12) ± √((12)^2 - 4(4)(-9)))/(2(4))

m = (-12 ± √(144 + 144))/(8)

m = (-12 ± √288)/8

m = (-12 ± 12√2)/8

Simplifying further:

m = (-3 ± 3√2)/2

So, we have two potential solutions for m:

m = (-3 + 3√2)/2  and  m = (-3 - 3√2)/2

Now we need to check if these solutions satisfy the original equation. Let's substitute these values back into the equation:

For m = (-3 + 3√2)/2:

[(2(-3 + 3√2))/(2(-3 + 3√2) + 3)] - [(2(-3 + 3√2))/(2(-3 + 3√2) - 3)] = 1

Simplifying this equation, we find that it holds true.

For m = (-3 - 3√2)/2:

[(2(-3 - 3√2))/(2(-3 - 3√2) + 3)] - [(2(-3 - 3√2))/(2(-3 - 3√2) - 3)] = 1

Simplifying this equation, we also find that it holds true.

Therefore, both solutions satisfy the original equation. As a result, there are no extraneous solutions in this case.

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Answer:

W.H.O

Step-by-step explanation:

ask my shoe and your mama

Answer:

The answer would be C. An obtuse equilateral triangle :)

The direction of greatest increase in heat from the point (2, 5) on the metal plate described by the temperature function t(x, y) = x^3 y^2 is along the positive x-axis. This means that the temperature increases the most as we move in the direction of increasing x-coordinate.

To find the direction of greatest increase in heat from the point (2, 5) on the metal plate, we need to calculate the gradient vector of the temperature function t(x, y) = x^3 y^2. The gradient vector represents the direction of the steepest increase in a scalar function.

Let's calculate the partial derivatives of t(x, y) with respect to x and y:

∂t/∂x = 3x^2 y^2

∂t/∂y = 2x^3 y

Now, evaluate the partial derivatives at the given point (2, 5):

∂t/∂x = 3(2)^2 (5)^2 = 300

∂t/∂y = 2(2)^3 (5) = 80

The gradient vector (∇t) at (2, 5) is given by (∂t/∂x, ∂t/∂y) = (300, 80). The direction of the gradient vector indicates the direction of the steepest increase in heat. Since the x-component (300) is larger than the y-component (80), the direction of greatest increase in heat is along the positive x-axis.

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Answer:

1 over 20

Step-by-step explanation:

Given that:

a spinner and 4 cards

A Spinner ⇒ 5 equal sectors;Color: Blue,Purple,Yellow,Red,Green

Arrow point at purple

Four cards ⇒ Color : Red,Yellow,Blue,Pink

Jane spins the spinner & selects card without looking.

To Find - Probability spinner stops at purple & select pink card.

Solve:

Multiply 4 (the number of cards) with 5 (The number of equal sectors)

\(\frac{1}{5}\times\frac{1}{4}=\frac{1}{20}\)          {1 × 1 = 1}    {5×4=20}

~lenvy~

Answer:

1 over 20

Step-by-step explanation:

Given the following:

1 spinner and 4 cards

A Spinner which has 5 equal sectors;Color: Green, Blue,Purple,Yellow,Red.

{Arrow point at purple}

Four cards ⇒ which color are Red,Yellow,Blue,Pink

Jane spins the spinner & selects card without looking.

To Find →  Probability spinner stops at purple & select pink card.

Since, purple and pink only has one in each of Spinner/card

Thus,

Spinner (5 equal sectors - 1/5}

Card {4 cards - 1/4}

1/4 × 1/5 = 1/20

Hence, probability spinner stops at purple & select pink card is [A] 1/20

[RevyBreeze]

Answer:47r64765

Step-by-step explanation:no

Answer:

AC=73

Step-by-step explanation:

Step-by-step explanation:

b2 =5

.....................

Answer:?

Step-by-step explanation:

The population density, in people per square mile, as calculated from the given data ,for all of county Y

=8.25/ square mile

Population density of district A = No of people/ Area

                                                    = 370/30

                                                     =12.3

Population density of district B = No of people/ Area

                                                    = 290/50

                                                     = 5.8

Now ,

Population density for the country Y will be,

=No of people/ Area

= (370+ 290 )/ 30 + 50

=  8 . 25 / square mile

The number of people in a given area of land is called population density. Although occasionally used with other living things, it is primarily used to people. It is a significant geographic term.

Population density is the quantity of people residing in a certain area per square kilometer , or other measure of land area.

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Answer:

Step-by-step explanation:

15% = 15/100 = .15

250 x .15 = 37.5

Answer:

37.5

Step-by-step explanation:

15%of 250 will be

15/100×250 = 75/2 = 37.5

Answer:

k<-62/7

Step-by-step explanation:

I hope it helps.

Answer:

k> 56

Step-by-step explanation:

-35 -k + 6< -85

-29-k < -85

+29        +29

_______________

-k> -56

/-1

k> 56