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A Quadratic function is non-Linear.

Answer:

nonlinear

Step-by-step explanation:

Quadratic functions are non-linear. A linear function produces a straight line while a quadratic function produces a parabola

We can use the quadratic formula to solve this equation:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = -11, and c = 25.

Plugging in these values, we get:

x = (-(-11) ± sqrt((-11)^2 - 4(1)(25))) / 2(1)

x = (11 ± sqrt(121 - 100)) / 2

x = (11 ± sqrt(21)) / 2

Therefore, the solutions to the equation x^2 - 11x + 25 = 0 are:

x = (11 + sqrt(21)) / 2

x = (11 - sqrt(21)) / 2

These answers are already in surd form, and they cannot be simplified any further.

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Answer:

they are complementary angles and as thry both are the realeation between angle a and b

The relationship between angles A and B is that, they are complementary. option B

For angle ACB, the angle is at C = 90 degrees

For angle CBA, the angle is at B = 31 degrees

For angle BAC, the angle is at A = 59 degrees

Note that complementary angles are angles that sum up to 90 degrees

Angle at A = 31 degrees

Angle at B = 59 degrees

Sum of angles A and B = 31 + 59 = 90 degrees

Thus, the relationship between angles A and B is that, they are complementary. option B

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The definite integral for the area of the surface generated by revolving the curve y = 6x^3 + 2x about the x-axis, over the interval 1 ≤ x ≤ 2, can be set up and evaluated as follows:

∫[1 to 2] 2πy √(1 + (dy/dx)^2) dx

To calculate dy/dx, we differentiate the given equation:

dy/dx = 18x^2 + 2

Substituting this back into the integral, we have:

∫[1 to 2] 2π(6x^3 + 2x) √(1 + (18x^2 + 2)^2) dx

Evaluating this definite integral will provide the surface area generated by revolving the curve about the x-axis.

b) The definite integral for the area of the surface generated by revolving the curve x = 4y - 1 about the y-axis, over the interval 1 ≤ y ≤ 4, can be set up and evaluated as follows:

∫[1 to 4] 2πx √(1 + (dx/dy)^2) dy

To calculate dx/dy, we differentiate the given equation:

dx/dy = 4

Substituting this back into the integral, we have:

∫[1 to 4] 2π(4y - 1) √(1 + 4^2) dy

Evaluating this definite integral will provide the surface area generated by revolving the curve about the y-axis.

By setting up and evaluating the definite integrals for the given curves, we can find the surface areas generated by revolving them about the respective axes. The integration process involves finding the appropriate differentials and applying the fundamental principles of calculus.

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Answer:

3 or 4

Step-by-step explanation:

Answer:

6 m and 18 m

Step-by-step explanation:

There are 2 similar triangles in the diagram

lamppost/ lamppost's shadow/ line from end of shadow to top of lamppost

Nick/ Nick's shadow/ line from end of shadow to top of Nick

Therefore the ratios of corresponding sides are equal.

Note the shadow of the lamppost = 12 + x, thus

\(\frac{6}{2}\) = \(\frac{12+x}{x}\) ( cross- multiply )

6x = 2(12 + x) = 24 + 2x ( subtract2x from both sides )

4x = 24 ( divide both sides by 4 )

x = 6

Thus

Nick's shadow is 6 m long

Lamppost's shadow is 12 + 6 = 18 m long

The probability that the remaining bill is a $2 bill is approximately 0.2857 or 28.57%.

To solve this problem, we can use conditional probability. Let's denote the events as follows:

A: The wallet initially contains a $2 bill.

B: The wallet initially contains a $20 bill.

C: The bill drawn from the wallet is a $2 bill.

We want to find the probability of Provenience is the horizontal and vertical position of an artifact within the matrix.  A occurring given that event C has occurred, P(A|C).

To begin, let's analyze the given information:

- The wallet either contains a $2 bill or a $20 bill, with equal likelihood. So, P(A) = P(B) = 0.5.

- If the wallet initially contains a $2 bill (event A), the probability of drawing a $2 bill (event C) is 2/3, since there are two $2 bills and one $20 bill in the wallet.

- If the wallet initially contains a $20 bill (event B), the probability of drawing a $2 bill (event C) is 1/2, as there is only one $2 bill left in the wallet.

Now, let's calculate the probability using Bayes' theorem:

P(A|C) = (P(C|A) * P(A)) / P(C)

P(C|A) = 2/3 (probability of drawing a $2 bill given that the wallet initially contains a $2 bill)

P(C) = P(C|A) * P(A) + P(C|B) * P(B) (total probability of drawing a $2 bill)

P(C|B) = 1/2 (probability of drawing a $2 bill given that the wallet initially contains a $20 bill)

P(C) = (2/3 * 0.5) + (1/2 * 0.5) = 1/3 + 1/4 = 7/12

P(A|C) = (2/3 * 0.5) / (7/12)

      = 4/6 / 7/12

      = (4/6) * (12/7)

      = 2/7

Therefore, the chances that the remaining bill in the wallet is a $2 bill, given that a $2 bill was drawn, is 2/7 or approximately 0.2857 (or 28.57%).

So, the probability that the remaining bill is a $2 bill is approximately 0.2857 or 28.57%.

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Based on the relative frequency and the number of times the experiment is to be performed, the number of times Event A should occur is 10 times.

The relative frequency in this regard is 1/3.

The number of times it will occur can be found as:

= Relative frequency x Number of times event was performed

Solving gives:

= 1/ 3 x 30

= 10 times

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Answer:

Top: 33°

Bottom: 70°

Step-by-step explanation:

For the top one, we are trying to find an unknown angle ∠WUV.

we have a 90° angle ∠TUV, where ∠TUW is 57°.

90 - 57 = 33

so, ∠WUV = 33°.

--------------------------------------------------------------------------------------------------------------

For the second one, we are trying to find the size of ∠ACB (5x+20). The problem establishes it is on a straight Line ∠BCD, with ∠ACD (10x+10) adding together with ∠ACB to equal 180, so let's start there.

We know Both of those statements above add up to equal 180°, so let's add them together to = 180.

(5x+20) + (10x + 10) = 180

15x + 30 = 180

Now we need to solve for X. First, isolate the variable by subtracting 30 from both sides.

15x = 150.

Next, just divide both sides by the coefficient (15).

x = 10.

Now just plug it in to the equation for the measurement of our angle.

5(10) + 20

50 + 20

70

So, the size of ∠ACB = 70°.

Answer:

are a, b, and c the options or are they different questions?

Answer:

= 5

Step-by-step explanation:

1) Subtract the numbers

  10 - 5 = 5

2) Apply the absolute rule

  IaI = a, a \(\geq\)0

3) Final Answer

   = 5

Answer:

321.3

Step-by-step explanation:

\(459 \times 0.7 = 321.3 \)

No, we cannot measure 3 gallons of water using 2 jugs of size 100 and 98 gallons. But, we can measure 4 gallons of water using these jugs.

Let's call the two jugs A and B, with A being the 100-gallon jug and B being the 98-gallon jug.

To measure 3 gallons of water, we need to have one jug that is smaller than 3 gallons and another jug that is larger than 3 gallons.

However, both of these jugs are larger than 3 gallons.

This means that it is impossible to measure 3 gallons of water using these jugs.

To measure 4 gallons of water, we can follow these steps:

Fill jug A to the top with water.

Pour the water from jug A into jug B until jug B is full.

This will leave 2 gallons of water in jug A.

Pour the water from jug B down the drain, then pour the 2 gallons from jug A into jug B.

Fill jug A to the top with water.

Pour the water from jug A into jug B until jug B is full.

This will leave 96 gallons of water in jug B, with 4 gallons of water in jug A.

Thus, we can measure 4 gallons of water using these jugs.

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Based on his deductible and coinsurance cap, the amount that Barry will pay is $4,560.

Barry will pay x amount.

Barry will be responsible for covering the entire $1,200 deductible. The remaining costs will subsequently be split between him and the insurer in a ratio of 20% to 80%, although he will not be required to pay more than $5,000.

He will consequently pay the following total out of pocket:

= Deductible + ( 20% x (Medical expenses - deductible)

Solving gives:

= 1,200 + ( 20% x (18,000 - 1,200))

= $4,560

He will pay $4,560 in total.

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Answer:

monomial

Step-by-step explanation:

The opportunity cost of consuming one more unit of good x in terms of how much good y must be given up is 1/2 unit of good y.

The opportunity cost of consuming one more unit of good x in terms of how much good y must be given up can be calculated using the Marginal Rate of Substitution (MRS). MRS is calculated as the ratio of the change in the amount of good x to the change in the amount of good y, as the consumer moves from one point on the indifference curve to another. Mathematically, MRS is expressed as:

MRS = Δx/Δy

For example, if a consumer moves from consuming 2 units of good x and 4 units of good y, to consuming 3 units of good x and 6 units of good y, then the MRS would be calculated as:

MRS = (3 - 2) / (6 - 4) = 1 / 2

Therefore, the opportunity cost of consuming one more unit of good x in terms of how much good y must be given up is 1/2 unit of good y.

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Answer:

a) 3⁴

b)7⁵

c)10²

d)5⁷

Step-by-step explanation:

a) 3²*3², add the exponents if multiplying(subtract if division)

b) add the other 7, cause 7⁴ is 7*7*7*7 and since you're doing another *7 just add a number to the exponent

c)10⁹/10⁷ is 9-7, and take that and use it as the exponent

d)since there is no exponent but it is basically the same as b, but switched. Instead of adding an exponent you take one away

Answer:

A) 27

Step-by-step explanation:

3 x 3 = 3²

3 x 3 = 9

9 x 9

27

The true statements are:

Logarithms may be used to linearize data.

Powers may be used to linearize data. Roots may be used to linearize data.

If a data set is linearized by taking the common logarithm (log) or natural logarithm (ln) of the y-values, then the data follows a power model.

Another format for writing exponents is in logarithms.

The use of a logarithm can be utilized to solve issues that cannot be resolved using the concept of exponents alone. A logarithm is simply another way to describe exponents. Exponent and logarithm are inverse forms of one another. A logarithm is defined using an exponent.

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Answer:

A.Logarithms may be used to linearize data.

B.Powers may be used to linearize data.

C.Roots may be used to linearize data.

E.If a data set is linearized by taking the pth root of the y-values, then the data follows a power model.

Step-by-step explanation:

Yes

Answer:

22

Step-by-step explanation:

We substitute the numbers for the letters to get 4*4 + 3*2 and then we multiply. 16 + 6 which equals 22. I hope this helps and please mark brainliest!

Answer:

22

Step-by-step explanation:

4a + b2

4(4) + (3)2

4 x 4 = 16

3 x 2 = 6

16 + 6 =

22

The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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The length of side BD which is the altitude of the triangle is 2√(70)

The length of BD is solved using similar triangles. This is defined by triangles formed from triangle ABC and they include

Let the altitude be h, hence we have the formula of the proportions as

AD / h = h / DC

plugging the values gives

20 / h = h / 14

h^2 = 20 * 14

h = √(20 * 14 )

h = √(280)

h = 2√(70)

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Given:

The data values are:

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

To find:

The outliers of the given data set.

Solution:

We have,

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

Divide the data set in two equal parts.

(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)

Divide each parenthesis in two equal parts.

(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)

Now,

\(Q_1=\dfrac{11+13}{2}\)

\(Q_1=\dfrac{24}{2}\)

\(Q_1=12\)

And

\(Q_3=\dfrac{16+16}{2}\)

\(Q_3=\dfrac{32}{2}\)

\(Q_3=16\)

The interquartile range is:

\(IQR=Q_3-Q_1\)

\(IQR=16-12\)

\(IQR=4\)

The data values lies outside the interval \([Q_1-1.5IQR,Q_3+1.5IQR]\) are known as outliers.

\([Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)]\)

\([Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6]\)

\([Q_1-1.5IQR,Q_3+1.5IQR]=[6,22]\)

All the data values lie in the interval [6,22]. So, there are no outliers.

Hence, the correct option is 4.

If the MSbetween (Mean Square Between) is lower than the MSwithin (Mean Square Within), the F value will be less than 1.

The F value is calculated by dividing the variance between groups (MSbetween) by the variance within groups (MSwithin). It is used in analysis of variance (ANOVA) to test for significant differences among group means. The F value follows an F-distribution, and its magnitude determines the statistical significance of the differences between groups.

When the MSbetween is lower than the MSwithin, it indicates that the variability between groups is smaller compared to the variability within groups. This suggests that the differences observed among the group means are not substantial or meaningful. In other words, there is more similarity within the groups than between them.

Since the F value is calculated as the ratio of MSbetween to MSwithin, if the numerator (MSbetween) is smaller than the denominator (MSwithin), the F value will be less than 1.

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Answer:

i think the answer is 8

Step-by-step explanation:

Answer:

6/50

Step-by-step explanation:

0.12 as a fraction is 6/50.

Answer:

3/25

Step-by-step explanation:

12/100=6/50=3/25 .

When compared to the universal setU={1,2,3,4,5,6,7,8,9,10}, the set P=2,4,6,8,10 has a prime that is equal to P'=1,3,5,7,9 as its element.

This is further explained below.

Generally, Assigned the letter A (A prime), The components that are included in the Universal set but are absent from Set A are denoted by the letter A.

U={1,2,3,4,5,6,7,8,9,10}

P={2,4,6,8,10}

Therefore, the prime of the set  P={2,4,6,8,10} in relation to the universal set U={1,2,3,4,5,6,7,8,9,10} is

P'={1,3,5,7,9}

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Suppose U={1,2,3,4,5,6,7,8,9,10} is the universal set, and P={2,4,6,8,10}. What is P'?

75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

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Answer:700

Step-by-step explanation:

Let the M.P of the article be x .

A discount of 20% was given on the M.P .

So the selling price of the article ( S.P ) will be M.P - Discount .

Discount = 20 % of x

⇒ Discount = 20/100 of x

⇒ Discount = 1/5 × x

⇒ Discount = x/5

Now S.P = M.P - Discount .

⇒ S.P = x - x/5

⇒ S.P = ( 5 x - x ) / 5

⇒ S.P = 4 x / 5

The shopkeeper loses Rs 200 .

Loss = C.P - S.P

⇒ C.P = Loss + S.P

⇒ C.P = 200 + 4 x / 5

⇒ C.P = ( 1000 + 4 x )/5

Now if he allows 10 % discount then the gain is Rs 150 .

Gain = S.P - C.P

⇒ S.P = Gain + C.P

⇒ S.P = 150 + ( 1000 + 4 x )/5

⇒ S.P = ( 750 + 1000 + 4 x )/5

⇒ S.P = ( 1750 + 4 x )/5

Discount = 10 % of x .

⇒ Discount = 10/100 × x

⇒ Discount = x/10

S.P = M.P - Discount

⇒ ( 1750 + 4 x )/5 = x - x/10

⇒ ( 1750 + 4 x )/5 = 9 x / 10

⇒ 1750 + 4 x = 9 x / 2

⇒ 3500 + 4 x = 9 x

⇒ 9 x - 4 x = 3500

⇒ 5 x = 3500

⇒ x = 3500/5

⇒ x = 700

Answer:

$45.50

Step-by-step explanation:

If 4 yards of fabric costs $26, we can divide to see how much one yard costs. 26÷4 is 6.5, and since you want 7 yards, we can multiply by 7 to see how much 7 yards cost. 7×6.5 is 45.5, and converting that to dollars gives us $45.50.

The Bodmas rule states that we have to solve the operations that are in brackets first, then we have to solve the operations of division and multiplication from left to right, and finally we have to solve the operations of addition and subtraction from left to right.

Given that `(5+3)j = 48`.To find the value of j, we can follow the below steps;`

8j = 48` Dividing both sides by

8. `j = 6`

Therefore, the value of j that makes `(5+3)j=48` a true statement is 6.

Hence, the correct answer is `6`.

Note: Here, we have multiplied `5+3` first, then multiplied with j, as we need to apply the BODMAS rule to solve the given equation.

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