does anyone know the answer. if u do, please tell me, and working out if possible, i'll give brainliest

The table has

x values 2,3,4,5 and

f(x) as 1, 14,20, 31

The statements A is true Intermediate value theorem, B is false mean value theorem, C is true extreme value theorem and D is true.

Given that,

The table has

x values 2,3,4,5 and

f(x) as 1, 14,20, 31

The function f is continuous.

A is true, From the figure.

Intermediate value theorem is let [a,b]be a closed and bounded intervals and a function f:[a,b]→R be continuous on [a,b]. If f(a)≠f(b) then f attains every value between f(a) and f(b) at least once in the open interval (a,b).

B is false because, mean value theorem, Let a function f:[a,b]→R be such that,

1. f is continuous on[a,b] and

2. f is differentiable at every point on (a,b).

Then there exist at least a point c in (a,b) such that f'(c)=(f(b)-f(a))/b-a

In the B part, the differentiability is not given do mean value theorem can be applied.

C is true because the extreme value theorem, if a real-valued function f is continuous on the closed interval [a,b] then f attains a maximum and a minimum each at least once such that ∈ number c and d in[a,b] such that f(d)≤f(x)≤f(c)∀ a∈[a,b].

D is true.

Therefore, The statements A is true, B is false, C is true and D is true.

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The quadratic equation that has (3·x + β) ans (3·x + a) as the roots can be presented as follows;

9·x² - 7.5·x - 3 = 0

A quadratic equation is an equation that can be expressed in the form; y = a·x² + b·x + c, where, a ≠ 0, and a, b, and c are numbers.

The quadratic equation -2·x² - 5·x + 6 = 0, divided by a factor of -1 indicates that we get;

2·x² + 5·x - 6 = 0

The quadratic formula indicates that we get;

x = (-5 ± √(5² - 4 × 2 × (-6))/(2 × 2) = (-5 ± √(73))/4

Let a = (-5 + √(73))/4 and let β =  (-5 - √(73))/4)

(3·x + ((-5 + √(73))/4)) × (3·x + (-5 - √(73))/4) = 9·x² + 3·x·(-5 - √(73))/4) + 3·x·(-5 + √(73))/4) + ((-5 + √(73))/4)) × (-5 - √(73))/4)

9·x² + 3·x·(-5 - √(73))/4) + 3·x·(-5 + √(73))/4) + ((-5 + √(73))/4)) × (-5 - √(73))/4) = 9·x² - 15·x/2 - 3 = 0

Therefore, the equation that has (3·x + β) ans (3·x + a) as roots is the equation

9·x² - 15·x/2 - 3 = 9·x² - 7.5·x - 3 = 0

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Over the past forty years, there has been a sharp rise in the quantity and variety of interest groups. .

In general, federal courts handle cases involving federal law, while state courts hear cases involving state law. Because most crimes are violations of local or state law, state courts typically hear criminal cases.

The 94 District Courts (trial courts), 13 Courts of Appeals (intermediate appellate courts), and the United States Supreme Court are the three main categories of federal courts within the federal system (the court of final review).

The three main causes of this surge are the "New Politics" movement, the increase of the role of government, and grassroots conservative action. Federal jurisdiction over a wide variety of public policy problems was expanded throughout the 1960s and 1970s, and there was a matching rise in the number of interest organizations that could exert pressure on elected officials

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The values that are solutions to inequality are -6 and 5.

Options A and D are the correct answer.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

x² + 3x - 4 > 0

Now,

Substituting x = -6, -2, 0, 5

(-6)² + 3(-6) - 4 > 0

36 - 18 - 4 > 0

36 - 22 > 0

14 > 0

True.

x² + 3x - 4 > 0

(-2)² + 3 x (-2) - 4 > 0

4 - 6 - 4 > 0

-6 > 0

This is not true.

x² + 3x - 4 > 0

0 + 3 x 0 - 4 > 0

0 + 0 - 4 > 0

-4 > 0

This is not true.

x² + 3x - 4 > 0

5² + 3 x 5 - 4 > 0

25 + 15 - 4 > 0

40 - 4 > 0

36 > 0

This is true.

Thus,

-6 and 5 are the solutions to inequality.

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Answer:

52%

Step-by-step explanation:

13/25=0.52

0.52 as a percent is 52%

Answer:

n = 2

Step-by-step explanation:

0.5n - 2 - 3 = 3 - 2n -3

0.5n + 2n = 2 + 3 + 3 -3

2.5n = 5

n = 2

Answer:

Step-by-step explanation:

0.5n - 2 - 3 = 3 - 2n - 3

Solving like terms

0.5n - 5 = - 2n

-5 = - 2n - 0.5n

-5 = - 2.5n

-5/-2.5 = n

2 = n

Answer:

40 gallons of gas

Step-by-step explanation:

Answer:

4.

Step-by-step explanation:

7n - 12 = 16

7n = 16 + 12 = 28

Since 7n = 28, n = 28 / 7 = 4.

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▹ Answer

C = 3215.36

▹ Step-by-Step Explanation

A = πr²

A = 3.14(32)²

A = 3215.36

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

Your just now have finals ?

Step-by-step explanation:

Ay, good luck tho homie !

By using the point-slope equation the slope of the line is 1/2, and a point on the line is (1, 4).

In the given equation, \(y - 4 = (1/2)(x - 1)\), we can observe that the equation is already in the point-slope form: \(y - y_1 = m(x - x_1)\)

Comparing it with the given equation, we can identify the following:

\(Slope \: (m) = 1/2\)

The coefficient of \((x - 1)\) represents the slope, which is 1/2 in this case.

To find a point on the line, we can identify the values of x and y. In this equation, the value of y₁ is 4, which means the point \((x_1, y_1)\) is (1, 4).

Therefore, the slope of the line is 1/2, and a point on the line is (1, 4).

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Answer:

DE = 15

DF = 23

Step-by-step explanation:

E___D___F

EF = DE + DF

38 = (3x +9) + (12x-1)

38 = 15x + 8

15x = 38 - 8

15x = 30

x = 30/15

x = 2

DE = 3x + 9 = 3(2) + 9 = 6 + 9 = 15

DF = 12x - 1 = 12(2) - 1 = 24 - 1 = 23

I hope I helped you^_^

The value of DE and DF is 15 and 23.

Given,

Point D is between Points E and F.

DE = 3x + 9

DF = 12x - 1

EF = 38.

We need to find DE and DF.

The sum of the parts separated by the point between two points is equal to the whole length of the line

Example:

A_____B_____C

AC = AB + BC

We have,

Point D is between Points E and F.

E_____D______F

DE = 3x + 9

DF = 12x - 1

EF = 38.

We get,

EF = DE + DF

38 = 3x + 9 + 12x - 1

38 = 15x + 8

38 - 8 = 15x

15x = 30

x = 30/15

x = 2

Now,

DE

= 3x + 9

= 3 x 2 + 9

= 6 + 9

= 15

DF

= 12x - 1

= 12 x 2 -1

= 24 - 1

= 23

Thus the value of DE and DF is 15 and 23.

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"Every linear transformation is a matrix transformation." This is false. Not all linear transformations are matrix transformations, even if all matrix transformations are linear transformations.

A point, line, or geometric object can be changed in four different ways that are all referred to as transformations. The Pre-Image refers to the object's initial shape, and the Image, after transformation, refers to the object's ultimate shape and location.

Bring out the pattern blocks, tangrams, and geoboards for another low-prep, high-engagement method of teaching geometric transformations. Students can produce an original design and then hand it off to a partner so that they can add a reflection, rotation, or translation to it.

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The estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

To calculate an estimate of the mean length of the insects Ciara found, we need to find the weighted average of the lengths using the given frequencies.

Let's denote the lower limits of the length intervals as L1 = 0, L2 = 10, and L3 = 20.

Similarly, denote the upper limits as U1 = 10, U2 = 20, and U3 = 30.

Next, we calculate the midpoints of each interval by taking the average of the lower and upper limits.

The midpoints are M1 = (L1 + U1) / 2 = 5, M2 = (L2 + U2) / 2 = 15, and M3 = (L3 + U3) / 2 = 25.

Now, we can calculate the sum of the products of the frequencies and the corresponding midpoints.

This gives us (5 \(\times\) 5) + (6 \(\times\) 15) + (9 \(\times\) 25) = 25 + 90 + 225 = 340.

Next, we calculate the sum of the frequencies, which is 5 + 6 + 9 = 20.

Finally, we divide the sum of the products by the sum of the frequencies to find the weighted average, which is 340 / 20 = 17.

Therefore, the estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

Thus, the mean length of the insects Ciara found is approximately 17 millimeters (mm).

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Answer:

x = 3

Step-by-step explanation:

x+5=8

x+5-5=8-5

X=3

Answer:

x = 3

Step-by-step explanation:

basically 2 ways

1st: Transposing

1) x + 5 = 8

2) transpose or transfer +5 to the other side

NOTE: transposing numbers and variables switches the signs (positive -> negative and vice versa)

3) x = 8 - 5

x = 3

2nd: Property of Equality (whatever u do one one side, you do the same to the other)

1) x + 5 = 8

2) x + 5 - 5 = 8 - 5

x = 3

the main focus is to isolate x, or to make it be alone in one side of the equation

The tree has 11 vertices with degree 1.

To find the number of vertices with degree 1 in a tree with degree sequence (6,6,6,6,4,...), we can use the Handshaking Lemma. This lemma states that the sum of all vertex degrees in a graph is twice the number of edges. In a tree, the number of edges is one less than the number of vertices, so we can write:

6+6+6+6+4+...+2+2+1+1 = 2n-1

where n is the number of vertices. Simplifying this equation gives:

n = (6+6+6+6+4+...+2+2+1+1+1)/2 + 1

The term inside the parentheses is the sum of all vertex degrees, which we know from the degree sequence. Plugging in the values and simplifying, we get:

n = 18

So the tree has 18 vertices. Since we know that the rest of the vertex degrees are either 2 or 1, we can subtract the six vertices with degree 6 and the one vertex with degree 4 to get:

18 - 6 - 1 = 11

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The probability that it will rain both days is \(\frac{1}{4}\).

According to the question

Mr. and mrs. smith plan to roof the cabin on 2 consecutive days.

Assuming that the chance of rain is independent of the day

Probability is the chance that some event will happen.

It is the ratio of the number of ways a certain event can occur to the number of possible outcomes.

Probability = Number of ways it can occur/Total number of outcomes

Probability of rain on first day = 1/2

Probability of rain on second day = 1/2

Then

Probability of rain on both days = \(\frac{1}{2}\) × \(\frac{1}{2}\) = 1/4

Hence,

The probability that it will rain both days is \(\frac{1}{4}\).

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Substituting back u = √x:

= (√x)^4/2 ln(√x) - (√x)^4/8 + C

= (x²/2) ln(√x) - x²/8 + C

This is the general antiderivative of the function.

To evaluate the definite integral ∫(√x ln(x)) dx, we can use integration techniques. Let's go through the steps:

First, we can use u-substitution to simplify the integral. Let u = √x, then du/dx = (1/2)√(1/x) and dx = 2u du.

Substituting these values, the integral becomes:

∫(√x ln(x)) dx = ∫(u ln(u²)) (2u du)

= 2∫(u³ ln(u)) du

Next, we integrate term by term:

2∫(u³ ln(u)) du = 2[ (u^4/4) ln(u) - ∫(u^4/4) (1/u) du ]

Simplifying the second integral:

2[ (u^4/4) ln(u) - ∫(u^3/4) du ]

= 2[ (u^4/4) ln(u) - (u^4/16) ] + C

= u^4/2 ln(u) - u^4/8 + C

Finally, substituting back u = √x:

= (√x)^4/2 ln(√x) - (√x)^4/8 + C

= (x²/2) ln(√x) - x²/8 + C

This is the general antiderivative of the function.

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Answer:

7.5

Step-by-step explanation:

Total no of cups

\( = 3 \frac{3}{4} + 1 \frac{1}{4} + 2 \frac{2}{4} \\ \\ = \frac{3 \times 4 + 3}{4} + \frac{1 \times 4 + 1}{4} + \frac{2 \times 4 + 2}{4} \\ \\ = \frac{12+ 3}{4} + \frac{4 + 1}{4} + \frac{8+ 2}{4} \\ \\ = \frac{15}{4} + \frac{5}{4} + \frac{10}{4} \\ \\ = \frac{30}{4} \\ \\ = \frac{15}{2} \\ \\ = 7 \frac{1}{2} \\ \\ = 7.5\)

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Answer:

Step-by-step explanation:

· To provide some context, for an employee who earns $4,000 in each bi-weekly pay period in September through December, approximately $2,200 of Social Security taxes would be deferred. This same amount, of course, will need to be repaid beginning in 2021 and the employee’s paycheck would be reduced accordingly.

Answer:

Answer is

Step-by-step explanation:

9-3+18

9-21

-12

Answer:

24

Step-by-step explanation:

Follow the order of operations and do the multiplication first

2*9=18

Then go from left to right as it is all addition and subtraction from there

9-3+18

9-3=6

6+18=24

Answer:

C. 120°

Step-by-step explanation:

\(m \angle \: 2 = m \angle 6 \\ (corresponding \: \angle s) \\ \\ \because \: m \angle 6 = 120 \degree \\ ...(given)\\ \\ \red{ \bold{\therefore \: m \angle 2 = 120 \degree }}\)

answer: FALSE

Step-by-step explanation:

V=Bh

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm. The area A of a rectangle with length l and width w is A=lw .

In 2D, tt can be extended on other side to any length you deserve. But if you talk of sub tangent, then it has particular length.

In 3D, on the surface talking of size of tangent plane it has no particular size. It can be extended on either side to any extent you desire.

In 2D:

At a particular point P(h,k) to a curve y=f(y). Tangent vector is given by equation y(k) = f(h,k)*(x-k) which is unique for that point on the curve. Taking of length a tangent has no particular length. It can be extended on other side to any length you deserve. But if you talk of sub tangent, then it has particular length.

In 3D:

As a particular point P(h,k,1) to a surface f(x,y,z) = 0. Tangent plain is given by equation F(x)(x-h)+F(y)(y-k)+F(z)(z.1)=0 which is unique. For that point on the surface talking of size of tangent plane it has no particular size. It can be extended on either side to any extent you desire.

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Answer:

Tina Turner's thighs are 18 inches wide.

\(\\ \sf\longmapsto y=\dfrac{2}{7}x+\dfrac{1}{3}\)

Compare to slope intercept form of a line

\(\\ \sf\longmapsto y=mx+b\)

Answer:

-5m/2

Step-by-step explanation:

-m+ (-2m) +(-3m)+(-4m) +(-4m)+(-3m)+(-2m)+(-m)/8

-m-2m-3m-4m-4m-3m-2m-m/8

-20m/8

-5m/2

The distance between car B's original point and the point where car A and car  B pass each other is 20 miles, given the speed of car A is twice the speed of car B, and they are 60 miles apart initially.

We assume the speed of car B to be x miles/hour.

Given car A going at twice the speed of car B, the speed of car A = 2x miles/hour.

When moving toward each other, the relative speed of the cars is the sum of their speeds.

Therefore, the relative speed = x + 2x miles/hour = 3x miles/hour.

The total distance between the cars is given as 60 miles.

Therefore, the time taken by car A and car B to reach the same point = 60/3x hours = 20/x hours.

Therefore, the distance from car B's original point and the point where car A and car B pass each other = Speed of car B*Time = x*(20/x) miles = 20 miles.

Therefore, the distance between car B's original point and the point where car A and car  B pass each other is 20 miles, given the speed of car A is twice the speed of car B, and they are 60 miles apart initially.

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Step-by-step explanation:

F(x) = 4x^3 - 3x^2 + 5 neither

F(x) = -7x^2+1 even

y = cos (-x) even

y = csc x odd

y = sin x/cos x odd

f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).

A) \(log(n^200) log(n^2)\)

Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100

This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.

B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sqrt(n) / log(n)]

As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

C) 3^n 5^n

Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([3^n / 5^n]\)

As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

D) sin(n) + 3 cos(n) + 1

Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]

As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.

Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.

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