Refer to the residual plot in the previous question, the pattern displayed by the residuals suggest that some of the conditions for a simple regression model are not being met.
True(T) or False(F)

Answer:

Yes, it would still be considered a hexagon. The reason why we require "6 angles" is probably just because you don't want the 6 lines to cross and create "more than 6 angles". The hexagons you are probably thinking of (the one with all the angles and sides equal) would be regular hexagons.

Answer:

C

Step-by-step explanation:

The graph for the system of linear equation is attached

An equation is said to be linear if the variables are of power not greater than one. This is to say the power of the variables should be one. It is a norm in math not to write the power when the power is one

For the equation given the the powers of both y and x are all 1. Linear equations also have a straight line graph hence have the equation of straight line represented as

y = mx + c

where:

m is the slope

c is the y intercept

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Answer:

∠ADB ≅ ∠CBD

Step-by-step explanation:

I did the quiz and got an hundred.

Answer: True

Step-by-step explanation:

2 with the exponent of 1/2 is 1.41. SQRT for 2 is also the same.

2 with the exponent of -1 is 0.5. Fraction of 1/2 is the same.

Answer:

49/144

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 49 and 144 is 1

Divide both the numerator and denominator by the GCD

49 ÷ 1

144 ÷ 1

Reduced fraction:  

49

144

Therefore, 49/144 simplified to lowest terms is 49/144.

Answer:

7/12

Step-by-step explanation:

7 goes into 49 7x times

and

12 goes into 144 12x times

So if we simplify this, the answer would be

ps: This is a quadratic function of equation

\(f(x) = - x {}^{2} + 4\)

Answer:

$18 :)

Step-by-step explanation:

10% of 180 is 18

The cost of each spiral notebook is $3 and the cost of each book cover is $2

Given that Alexis and her sister bought school supplies. Alexis bought 5 spiral notebooks and 6 book covers for $27. Her sister bought 4 spiral notebooks and 2 book covers for $16 and asked to find out the cost of each spiral notebook and each book cover.

Let's assume spiral notebooks as "x"  and book covers as "y".

As a result, two linear equations in two variables will be formed.

⇒5x+6y=$27; Let's assume this equation as A

⇒4x+2y=$16; Let's assume this equation as B

Multiply equation B with 3

⇒12x+6y=$48; Let's assume this equation as C

Equation c- Equation A

⇒$48-$27=7x

⇒7x=$21

⇒x==$3

The cost of the spiral notebook is $3

From equation A

⇒5($3)+6y=$27

⇒$15+6y=$27

⇒6y=$12

⇒y=$2

The cost of the book cover is $2

Therefore,The cost of each spiral notebook is $3 and the cost of each book cover is $2

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The key features include random assignment of participants into two groups (drug A and placebo), administration of the drug or placebo without participants knowing which one they received, and comparison of outcomes (number of pain episodes) between the groups at the end of the treatment period.

This is a randomized controlled trial (RCT). An RCT is a type of research study where participants are randomly assigned to receive either the treatment (drug) or a placebo, and then the outcomes of both groups are compared. In this case, the study was conducted by the National Institutes of Health to investigate whether drug A can reduce the pain associated with sickle-cell disease. 150 sickle-cell sufferers were randomly assigned to receive the drug and another 150 were given placebos. The researchers took great care to ensure that the participants did not know whether they were receiving the drug or the placebo. At the end of the treatment period, the number of episodes of pain reported by each subject was counted. This study is important in helping researchers and healthcare professionals understand the effectiveness of the drug in reducing the pain associated with sickle-cell disease.

This study is a double-blind randomized controlled trial (RCT).

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The perimeter of the rectangle is 16 feet.

The correct answer is an option (C)

In this question, the length of the rectangle is,

l = 1 yard 2 feet 1 inch

l = 3 feet + 2 feet + 0.0833 feet

l = 5.0833 feet

And the width of the rectangle is,

w = 2 feet 11 inches

w = 2 feet + 0.9167 feet

w = 2.9167 feet

So, the perimeter of the rectangle would be,

P = 2(l + w)

P = 2 * (5.0833 + 2.9167)

P = 16 feet

Therefore, the perimeter of the rectangle is 16 feet.

The correct answer is an option (C)

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The difference between the K values at room temperature and elevated temperature is significant, with the K increasing at higher temperatures. This indicates that the reaction has shifted to the right at higher temperatures, making it more likely to occur due to increased kinetic energy.

At room temperature, the average K for a reaction is around 10-25. At elevated temperatures, the average K may be higher or lower depending on the reaction. For example, if the reaction is endothermic, the K will decrease at elevated temperatures, while if the reaction is exothermic, the K will increase at elevated temperatures.Using the K value for a reaction at room temperature and the K value for the same reaction at elevated temperature, we can calculate the difference. For example, let's say the K at room temperature is 10, and the K at elevated temperature is 30. The difference between the two values is 20 (30-10). This difference is significant because it is greater than 10, the average value for K at room temperature.This difference of 20 indicates that the reaction has shifted to the right at higher temperatures. This means that the reaction is more likely to occur at higher temperatures as the K has increased. This is due to the increased kinetic energy of the molecules at higher temperatures, which allows them to react more efficiently.

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Answer:

\(a = x(2x - 3) + 5 x - 2x ^{2} = \\ a = x - 1x + 5x + 4x ^{2} = \\ a = 1x - 1x + 5x + 4x ^{2} = \\ a = 5x + 4x ^{2} \)

Je pense que c'est la réponse

\(b \: .) \: \: - 67.2\)

hope it helps

Answer:

Step-by-step explanation:

Mathematical entities called vectors are used to describe quantities that have both a magnitude and a direction. They are frequently used to explain physical quantities like velocity, force, displacement, and electric fields in physics, mathematics, and engineering.

Given vectors are `V₁ = 0`, `V₂ = B`, and `V₃ = -8` and `2` respectively. The reduced row echelon form of the matrix `[V₁, V₂, V₃, V₄, V₅, V₆]` is Thus:

The reduced row echelon form of the matrix is
[ 1  0  8   0  0  -B ]
[ 0  1 -2   0  0  B/2]
[ 0  0  0   1  0  0  ]
[ 0  0  0   0  1  0  ]
[ 0  0  0   0  0  1  ]

Now, we can rewrite the matrix in terms of vectors V₁, V₂, V₄, V₅, V₆.

V₁ + 0 V₂ + 8 V₃ + 0 V₄ + 0 V₅ - B V₆ = 0
0 V₁ + V₂ - 2 V₃ + 0 V₄ + 0 V₅ + B/2 V₆ = 0
0 V₁ + 0 V₂ + 0 V₃ + V₄ + 0 V₅ + 0 V₆ = 0
0 V₁ + 0 V₂ + 0 V₃ + 0 V₄ + V₅ + 0 V₆ = 0
0 V₁ + 0 V₂ + 0 V₃ + 0 V₄ + 0 V₅ + V₆ = 0

Simplifying the above equation we get

V₃ = -8V₁ - B V₆`

V₃ = 2V₂ - B/2 V₆`

`V₄ = 0`

V₅ = 0`

V₆ = -V₁ - || V₂`

Now, we need to find V₃ and V₆ in terms of V₁, V₂, and constant `B`.

V₃ = -8V₁ - B V₆`

V₃ = -8V₁ - B(-V₁ - || V₂)`

V₃ = -8V₁ + BV₁ + B || V₂`

V₃ = (B-8)V₁ + B || V₂`

V₆ = -V₁ - || V₂`

Thus, the vectors V₃ and V₆ in terms of V₁, V₂, and constant `B` are `(B-8)V₁ + B || V₂` and `-V₁ - || V₂` respectively.

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Answer:

Step-by-step explanation:

The vendor sold 172 sodas and 58 hotdogs at the hockey game.

An equation of degree one is known as a linear equation.

A linear equation of two variables can be represented by ax + by = c.

let, the number of soda cans be 'x' and the number of hot dogs be 'y'.

So, From the given information x = 3y and the vendor sold a total of 232.

Therefore, x + y = 232.

3y + y = 232.

4y = 232.

y = 232/4.

y = 58.

So, He sold 58 hot dogs and 3×58 = 172 soda cans.

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Answer:

the answer for this question isnparallelogram

Answer:

Parallelogram

Step-by-step explanation:

Answer:

0.1035 acres can be planted by 1 pound of seeds.

Step-by-step explanation:

Amount of seeds to be planted = 58 pounds

Area of the field = 6 acres

Area of the field to be planted with per pound seeds = \(\frac{\text{Total Area}}{\text{Amount of seeds to be planted}}\)

= \(\frac{6}{58}\)

= 0.1035 acres per pound

Therefore, 0.1035 acres can be planted by 1 pound of seeds.

The graphs are identified as follows

1. the domain is option G

2. the range is option E

3. the domain is option D

4. the range is option C

In coordinate geometry, the domain and range are concepts used to describe the set of possible inputs (x-values) and outputs (y-values) of a function, respectively.

The domain of a function is the set of all possible x-values for which the function is defined. In other words, it is the set of all values that can be plugged into the function and produce a meaningful output.

The range of a function is the set of all possible y-values that the function can take on as x varies over its domain. In other words, it is the set of all values that the function can output.

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Answer:

8640in²

Step-by-step explanation:

A = I * W * H

A= 27*16*20

A=8640in²

Answer:

57.09

Step-by-step explanation:

856.35/15. total amount divided by number of payments

We have the following:

The unit rate would be the amount of calories per gram, so we must divide the number of calories by the number of grams

That is, there are 5 calories per gram in this candy bar.

We Know That,

\( speed \: = \frac{distance}{time} \)

Hence,

\(time \: = \frac{distance}{speed} \)

According to given,

speed = 783 km/h

distance = 8352 km

Therefore,

\(time \: = \frac{8352}{783} \)

time = 10.6

time = 10hr 40mins

Now,

Also given that-

plane leaves at 9hr 52mins local time

hence,

time = 10hr 40mins + 9hr 52mins

time = 20hr 32mins

But,

plane is 2hrs behind

Therefore,

time = 20hr 32mins - 2hrs

time = 18hrs 32mins

What is speed?

Speed is defined as :

The rate of change of position of an object in any direction.

Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

Speed Formula

The formula of speed is given in the table below:

s = d/t

where,

this is the time taken in s

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Answer:

26.411

Step-by-step explanation:

Given that:

3a + bc - c

when;

a = 8.6

b = 2.3

c = 0.47

Then;

= 3(8.6) + (2.3)(0.47) - 0.47

Open brackets

= 25.8 + 1.081 - 0.47

= 26.411

Answer:

1/35 every hour

Step-by-step explanation:

The number of hours between 10pm and 7:20AM is 9 hours and 20 minutes. This is computed by noting that there are 2 hours till midnight and then 7 hours and 20 minutes till 7:20AM

So total time the water decreased = 9 hours and 20 minutes
20 minutes = 20/60 = 1/3 of an hour
So time taken in hours = 9 1/3 = 28/3 hours

4/15 of the pool depth decreased in 28/3 hours

Rate of decrease  per hour = 4/15 ÷ 28/3

=4/15 x 3/28 =(4 x 3)/(15 x 28) = 12/420

Dividing numerator and denominator by 12 gives
(12 ÷ 12)/(420 ÷ 12) = 1/35

So the water level dropped by 1/35 every hour

The efficiency of the power screw in raising the load is approximately 6976%.

The efficiency of a power screw can be calculated using the formula: Efficiency = (Ideal Mechanical Advantage / Actual Mechanical Advantage) x 100% To find the Ideal Mechanical Advantage (IMA) of the screw, we can use the formula:

IMA = (π / tan(α)) x (π / 2) x (D / P)

Where: π is the mathematical constant pi (approximately 3.14159) tan(α) is the coefficient of friction (given as 0.20) D is the major diameter of the screw (given as 19 mm) P is the pitch of the screw, which can be calculated as (25.4 mm / number of threads per inch) First, let's calculate the pitch: Number of threads per inch = 6

Pitch = 25.4 mm / 6 = 4.23 mm (approximately)

Now, we can substitute the values into the formula to find IMA:

IMA = (π / tan(α)) x (π / 2) x (19 mm / 4.23 mm)

Using the given coefficient of friction, we have:

IMA = (π / 0.20) x (π / 2) x (19 mm / 4.23 mm)

Simplifying the equation, we get:

IMA = 9.87 x 1.57 x 4.49

Calculating IMA, we find:

IMA ≈ 69.76

Now, we need to find the Actual Mechanical Advantage (AMA), which can be calculated using the formula:

AMA = Load / Effort

Where:

Load is the weight being lifted (given as 17.80 kN)

Effort is the force applied to turn the screw

Since the screw is being used to lift the load, the Effort is equal to the load.

AMA = 17.80 kin / 17.80 kin

AMA = 1

Now, we can calculate the efficiency using the formula:

Efficiency = (IMA / AMA) x 100%

Efficiency = (69.76 / 1) x 100%

Efficiency ≈ 6976%

The efficiency of the power screw in raising the load is approximately 6976%.

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Step-by-step explanation:

There is one possible way:

No further simplification

Answer: