Select the statement that best justifies the conclusion based on the given information. If x+5=15, then x=10

The calculated length of the segment AD is 14

From the question, we have the following parameters that can be used in our computation:

B is the midpoint of AC

BD = 9 and BC = 5

Using the above as a guide, we have the following:

AB = BC = 5

CD = BD - BC

So, we have

CD = 9 - 5

Evaluate

CD = 4

So, we have

AD = AB + BC + CD

substitute the known values in the above equation, so, we have the following representation

AD = 5 + 5 + 4

Evaluate

AD = 14

Hence, the length of the segment AD is 14

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The given expression is

18×4(4÷393)-36+8

We would simplify by applying the correct order of operations which is known as PEDMAS where

P represents parentheses

E represents exponents

D represents division

M represents multiplication

A represents addition

S represents subtraction

Thus, we would simplify the terms in the parentheses first.

4/393

Then we would multiply 4/393 by 18 * 4. It becomes

18 * 4 * 4/393 = 288/393

The expression becomes

288/393 - 36 + 8

The next step is to add 36 and 8

36 + 8 = 44

The expression becomes

288/393 - 44

= (288 + 17292)/393

= 17580/393

a multiple regression model, the error term `e’ is assumed to be a random variable with a mean of is A) zero. This means that in a multiple regression model, the errors are assumed to have a mean of zero. This assumption is necessary to ensure that the model is unbiased and accurate in predicting the outcome variable.

this assumption is that the error term represents the unexplained variation in the outcome variable that is not accounted for by the predictor variables. If the error term had a mean value other than zero, this would indicate that there is a systematic bias or error in the model, which would affect the accuracy of the predictions.

the assumption of a zero mean error term is a critical aspect of multiple regression modeling and helps to ensure that the model is reliable and valid for predicting the outcome variable.

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The vertex of the Quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).

The vertex of a quadratic function given the y-intercept and x-intercept, we need to determine the axis of symmetry, which is the line that passes through the vertex. The x-coordinate of the vertex will be the midpoint between the x-intercepts, while the y-coordinate will be the same as the y-intercept.

Given that the y-intercept is (5, 0) and the x-intercept is (0, 80), we can determine the x-coordinate of the vertex by finding the midpoint of the x-intercepts. The x-coordinate of the midpoint is simply the average of the x-values:

x-coordinate of vertex = (0 + 0) / 2 = 0 / 2 = 0

Since the y-coordinate of the vertex is the same as the y-intercept, the vertex will have the coordinates (0, 0).

Therefore, the vertex of the quadratic function is (0, 0).

In conclusion, the vertex of the quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).

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Answer:

b ≈ 9.5

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , tat is

AC² + BC² = AB²

b² + 3² = 10²

b² + 9 = 100 ( subtract 9 from both sides )

b² = 91 ( take square root of both sides )

b = \(\sqrt{91}\) ≈ 9.5 ( to 1 decimal place )

Answer:

\(2w - \frac{ 7}{4} \)

Step-by-step explanation:

\( \frac{1}{4} \times 8w = 2w \\ \frac{1}{4} \times ( - 7) = \frac{ - 7}{4} \)

Answer: 2w -7/4

Step-by-step explanation:

    1 /4(8w  − 7)  

Apply the distributive property.

    1 /4(8w  − 7)  + 1/4  ⋅  − 7

Cancel the common factor of 4.

Factor 4 out of 8w.

     2w + 1/4 ⋅ -7

Combine  1/4 and -7

    2w + ((-7)/4)

Move the negative in front of the fraction.

    2w − 7/4

0.52

0.125

You just need to divide the numerator and denominator. ^^

Answer:

B choice.

Step-by-step explanation:

\(y = mx + b\)

where m = slope and b = y-intercept.

\(y = 3x - 5\)

Consider the coefficients. Therefore, from y = 3x-5 considering with the mx+b.

The value of m or slope is 3

The value of b or y-intercept is -5.

The ratio of nickels to dimes in the spare change on the dresser is 9:8. This means that for every 9 nickels, there are 8 dimes in the spare change on the dresser.

Let's start by assigning variables to the number of pennies, nickels, and dimes. We can represent the number of pennies as 2x, where x is a positive integer. According to the given ratio of pennies to nickels (2:3), the number of nickels would be 3/2 times the number of pennies, which is 3x. Similarly, according to the ratio of pennies to dimes (3:4), the number of dimes would be 4/3 times the number of pennies, which is 8x/3.

To find the ratio of nickels to dimes, we need to compare their quantities. The number of nickels is 3x, and the number of dimes is 8x/3. To make the comparison easier, we can multiply both quantities by 3 to eliminate the fractions. This gives us 9x nickels and 8x dimes.

Therefore, the ratio of nickels to dimes is 9:8. This means that for every 9 nickels, there are 8 dimes in the spare change on the dresser.

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The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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The constant of proportionality is, 12

Yes, The graph of equation is a straight line.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Mark is planning a birthday party at the local skating rink.

And, The table shows the rates that are charged for parties at the skating rink.

Let two points on table are (5, 60) and (10, 120)

Now, The equation of line is,

⇒ y - 60 = (120 - 60) / (10 - 5) (x - 5)

⇒ y - 60 = 60/5 (x - 5)

⇒ y - 60 = 12(x - 5)

⇒ y - 60 = 12x - 60

⇒ y = 12x

Thus, The number of guests proportional to the cost.

And, Constant of proportionality = 12

And, The graph of y = 12x is a straight line.

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Complete question is shown in figure.

Answer:

sin^2α

Step-by-step explanation:

I will just  pose  x instead  of alpha  here to make things simpler

\(\tan ^2\left(x\right)\left(2\cos ^2\left(x\right)+\sin ^2\left(x\right)-1\right)\\\\\)

we know that sin^2x = 1 -  cos^2x so...

\(=\left(-1+1-\cos ^2\left(x\right)+2\cos ^2\left(x\right)\right)\tan ^2\left(x\right)\)

\(=\cos ^2\left(x\right)\tan ^2\left(x\right)\)

we can rewrite using trigonometric identities (tan = sin/cos)...

\(=\left(\frac{\sin \left(x\right)}{\cos \left(x\right)}\right)^2\cos ^2\left(x\right)\\= \sin ^2\left(x\right)\)

Answer:

y = 9/17 x - 28/17

Step-by-step explanation:

To find the circulation of a vector field F around the boundary of a surface using Stokes' Theorem, we need to evaluate the line integral of F along the closed curve bounding the surface.

In this case, we have two different scenarios: one involving a surface in the xy-plane and another involving a surface in the yz-plane. For both cases, we are given the vector field F and the orientation of the curves. We will calculate the circulation for each scenario using the appropriate formulas.

a) For the circulation of F around the circle C of radius 5 centered at the origin in the xy-plane, oriented clockwise as viewed from the positive z-axis, we need to evaluate the line integral of F along the curve C. The line integral is given by the formula:

Circulation = ∮C F · dr

b) Similarly, for the circulation of F around the circle C of radius 5 centered at the origin in the yz-plane, oriented clockwise as viewed from the positive x-axis, we need to evaluate the line integral of F along the curve C. The line integral is given by the formula:

Circulation = ∮C F · dr

To calculate the circulation in each case, we substitute the given vector field F into the line integral formulas and evaluate the integrals using appropriate parametrizations for the curves C. The result will provide the circulation values for each scenario.

The specific calculations and parametrizations required for each part of the problem are necessary to obtain the final numerical values for the circulations.

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The answer choices for each box are:

- y = H(c) is a local maximum"**

- y = H(c) is a local minimum"**

- y = H(c) is neither a local max nor a local min"

In this problem, we are considering a function y = H(c) and determining whether it represents a local maximum, a local minimum, or neither.

A local maximum occurs when the function reaches its highest point in a specific interval, meaning that there are no other points nearby with higher values. On the other hand, a local minimum is the lowest point within an interval, where there are no neighboring points with lower values.

To determine if y = H(c) is a local maximum or a local minimum, we need to analyze the behavior of the function around the point c. This involves examining the slope or derivative of the function.

If the slope of the function is positive to the left of c and negative to the right of c, then y = H(c) represents a local maximum. Conversely, if the slope is negative to the left of c and positive to the right of c, then y = H(c) represents a local minimum.

However, if the slope does not change sign around c, meaning it is either positive on both sides or negative on both sides, then y = H(c) is neither a local maximum nor a local minimum. This could occur at inflection points or plateau-like regions where the function remains relatively constant.

In summary, when analyzing the behavior of the function around c, if the slope changes sign from positive to negative, it is a local maximum. If the slope changes sign from negative to positive, it is a local minimum. If the slope does not change sign, it is neither a local maximum nor a local minimum.

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Answer:  1.3125 gallons

Step-by-step explanation: The machine pumps 2.1 gallons of water every 1.6 minutes. 1.6 minutes is 1.6x more than 1 minute. So, we have to divide 1.6 by 1.6. Next, we have to divide 2.1 by 1.6. We can make this a bit easier by multiplying both of them by 10 to get 21/16 which is 1.3125.

Answer:

1.3125 gallons

Step-by-step explanation:

Using the given information, we can set up a proportion;

\(\frac{2.1gallons}{1.6minutes} = \frac{xgallons}{1minute}\)

Now, we can cross multiply to solve for x.

2.1 = 1.6x
x = 1.3125 gallons

Answer:

C

Step-by-step explanation:

I think

15 liquids that can be found in a kitchen include:

15 solids in a kitchen are:

When it comes to solids in the kitchen, we can mostly find either food ingredients, such as salt, flour, and spices, or actual food that can be prepared such as meat, vegetables, and bread.

As for liquids, these can be anything from drinks such as juice, water and wine, to liquids used for cooking such as oil, soy sauce and vinegar.

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We want to see which ones of the given equations are true equations. Here we will see that the only true equation is the second one:

54 ÷ 6 + 3² = 4 + 4²

We define a true equation as an equation where the thing at the left is equal to the thing on the right, so we need to check that for all the given equations.

1) 62 − 22 = 4 + 7⋅22

We just solve each side, we will get:

40 = 158

This is not a true equation.

2) 54 ÷ 6 + 3² = 4 + 4²

   9 + 9 = 4 + 16

   18 = 18

This is a true equation.

3) 8042 = 10 − 22 − 1

Clearly, this is not a true equation.

4) 19 − 2⋅5 = 9⋅73 −9

   19 - 10 = 657 - 9

           9 = 648

This is not a true equation.

Then the only true equation is the second one:

54 ÷ 6 + 3² = 4 + 4²

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Answer:

B

Explanation:

x = 5

2x + y = 10

Substitute x = 5 into 2x + y = 10

2(5) + y = 10

10 + y = 10

y = 0

Hence, coordinates are (5,0).

The side length of the largest square Jacob could seed if he purchases 5 bags is 70.71feet.

The formula for the area of square is given by,

                      Area =  (side)2 = s2

         Where, s = length of the side of a square  

Now according to the question we have been given that 1 bag will cover 1000 square feet of lawn.

And Jacob bought 5 of those bags. First we will find how many square feet of lawn can be covered by these 5 bags.

Therefore,                      1bag = 1000 sq.ft

                                        5 bag = 5*1000sq.ft

                                                   = 5000sq.ft

Thus 5 bags will cover 5000sq.ft of lawn which will be equal to the area of the lawn

That is, Area of the lawn = Area covered by the 5 bags.

                           Area = 5000sq.ft

Putting the value of area in equation (1) we get,

                           5000 = s2

               Or,  s2 = 5000

                      s = √5000

                       s = 70.71ft

Hence the side length of the square lawn will be 70.71ft.

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• The intersection of lines n and k is point V.

• Point X is the intersection of line m and plane A.

We can infer  the following from the diagram :

We can see that the intersection of any two planes will produce a line at the intersection point of plane A and plane S, the line CW is formed and also the lines intersect at a point, the intersection point of line n and line k is point V.

• The point X in the diagram is brought about by the intersection of line m on the plane A .

In Euclidean geometry, the intersection of a line and a line can be the empty set, a point, or another line.

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Answer:

Step-by-step explanation:

1. 10^2+7^2=x^2

x=sqrt(149)

2. 21^2-19^2=x^2

x=sqrt(80)

3. This is all pythagorean theorem busywork, a^2+b^2=c^2 where c is the hypotenuse of the triangle.  I think from my examples you should be able to figure the rest out.

Answer:

4a + 12

Step-by-step explanation:

4(a + 3)

In this question, you multiply 4 by a and 4 by 3

(4 x a) + (4 x 3)

= 4a + 12

The simplified expression is 2y² - 9.

To subtract the binomials (-3y^2 - 8) - (-5y^2 + 1), we need to distribute the negative sign to the terms inside the second set of parentheses:

(-3y^2 - 8) - (-5y^2 + 1) = -3y^2 - 8 + 5y^2 - 1

Next, we combine like terms by adding or subtracting the coefficients of the same degree:

-3y^2 + 5y^2 - 8 - 1 = (5y^2 - 3y^2) + (-8 - 1) = 2y^2 - 9

Therefore, the simplified expression is 2y² - 9.

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Answer:

.4

=soda,

0.5=tea

Step-by-step explanation:

Answer:

one soda costs 0.25 euros

One tea costs 0.5 euros

Step-by-step explanation:

we make a system of equations

S- soda

t- tea

2s+3t=2

5s+3t=2.75

we have to isolate a variable because I like to use substitution method best

2s+3t=2

   -3t.  -3t

2s=2-3t

/2. /2. /2

s=1-1.5t

5(1-1.5t)+3t=2.75

5-7.5t+3t=2.75

5-4.5t=2.75

-5.       -5

-4.5t=-2.25

/-4.5.  /-4.5

t=0.5

One tea is 0.5 euros

Now to find one soda we just fill it in

2s+3(0.5)=2

2s+1.5=2

  -1.5.  -1.5

2s=0.5

/2.  /2

s=0.25

One side cost 0.25 euros

Hopes this helps please mark brainliest