Let a, b, and m be positive integers, where = a, and
4
=b. Which of the following numbers could be m?

Answer:

5 5/8 pounds

Step-by-step explanation:

I added the fractions and got that

u = 1

Hi there !

3u + 4 = 7

3u = 7 - 4

3u = 3

u = 3 : 3

u = 1

Good luck !

Answer:

182.8125

Step-by-step explanation:

Given:

y = x^3

from [2,5] using 6 subdivisions

deltax = (5 - 2)/6 = 3/6 = 0.5

hence the subdivisions are:

[2, 2.5]; [2.5, 3]; [3, 3.5]; [3.5, 4]; [4, 3.5]; [4.5, 5]

hence the right endpoints are:

x1 = 2.5; x2 = 3; x3 = 3.5; x4 =4; x5 = 4.5; x6 = 5

now the area is given by:

A = deltax*[2.5^3 + 3^3 + 3.5^3 + 4^3+ 4.5^3 + 5^3]

A = 0.5*365.625

A = 182.8125

Area using Right Endpoint approximation is 182.8125

The area of the region is an illustration of definite integrals.

The approximation of the area of the region R is 182.8125

The given parameters are:

\(\mathbf{f(x) = x^3}\)

\(\mathbf{Interval = [2,5]}\)

\(\mathbf{n = 6}\) ------ sub intervals

Using 6 sub intervals, we have the partitions to be:

\(\mathbf{Partitions = [2,2.5]\ u\ [2.5, 3]\ u\ [3,3.5]\ u\ [3.5,4]\ u\ [4,4.5]\ u\ [4.5,5]}\)

List out the right endpoints

\(\mathbf{x= 2.5,\ 3,\ 3.5,\ 4,\ 4.5,\ 5}\)

Calculate f(x) at these partitions

\(\mathbf{f(2.5) = 2.5^3 = 15.625}\)

\(\mathbf{f(3) = 3^3 = 27}\)

\(\mathbf{f(3.5) = 3.5^3 = 42.875}\)

\(\mathbf{f(4) = 4^3 = 64}\)

\(\mathbf{f(4.5) = 4.5^3 = 91.125}\)

\(\mathbf{f(5) = 5^3 = 125}\)

So, the approximated value of the definite integral is:

\(\mathbf{\int\limits^5_2 {f(x)} \, dx \approx \frac{1}{2}(\sum f(x))}\)

This becomes

\(\mathbf{\int\limits^5_2 {f(x)} \, dx \approx \frac{1}{2}(15.625 + 27 + 42.875 + 64+91.125 + 125)}\)

\(\mathbf{\int\limits^5_2 {f(x)} \, dx \approx \frac{1}{2} \times 365.625}\)

\(\mathbf{\int\limits^5_2 {f(x)} \, dx \approx 182.8125}\)

Hence, the approximation of the area of the region R is 182.8125

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Answer:

The length is 19 inches

Step-by-step explanation:

Step 1:  Determine the length

Perimeter = 2(L + W)

Step 2:  Solve for L

60 /2 = 2(L + 11) / 2

30 - 11 = L + 11 - 11

19 = L

Answer:  The length is 19 inches

Answer:

Step-by-step explanation:

Perimeter : 2(L + W) = 60

Answer:

$180

Step-by-step explanation:

If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180

An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.

In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.

Order-Preserving Function:

A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.

Increasing Function:

If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).

Isomorphism:

A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:

a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).

b. f is onto (surjective): Every element in Q has a pre-image in P.

When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.

Automorphism:

An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.

These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.

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Answer: 169'

Step-by-step explanation:

Since the expression for ordering brushes for an art class is given as 5c - 1, where c is the class limit.

Therefore, when the class limit is 34, the expression evaluated will then be:

= 5c - 1

= 5(34) - 1

= 170 - 1

= 169

Therefore, 169 brushes were ordered.

The true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.

It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.

To get to the current positioning, a rotation might not be sufficient.

It could be required to include a fictitious translation known as the object's location (or position, or linear position).

Together, the position and orientation completely explain where the object is situated in space.

Therefore, the true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

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The correct statement regarding the inverse function of f(x) = 4x^4 is given as follows:

\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\); f^(-1)(x) is not a function.

The function in this problem is defined as follows:

f(x) = 4x^4.

To obtain the inverse of a function y = f(x), first the variables y and x are exchanged, as follows:

x = 4y^4.

Isolating the variable y, we have that:

y^4 = (x/4).

The inverse operation of the fourth power is the fourth root, hence:

\(y = \pm \sqrt[4]{\frac{x}{4}}\)

\(f^{-1}(x) = \pm \sqrt[4]{\frac{x}{4}}\)

\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\)

The plus/minus symbol means that for each input of x, the inverse function gives two outputs, meaning that there are multiple outputs mapped to each input, and thus the inverse is not a function.

This means that the second statement is correct.

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The end behavior of the function f(n) = 3(n + 2)²(n - 3)(n - 2) is given as follows:

The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.

The function for this problem is given as follows:

f(n) = 3(n + 2)²(n - 3)(n - 2).

Considering the degree, the function can be interpreted as follows:

\(3n^4\)

(for the limit when the input goes to infinity we consider only the term with the highest degree).

The leading coefficient is positive and the exponent is even, hence the end behavior is given as follows:

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Answer:

Is his the Question given? or....

Step-by-step explanation:

Answer:

\(44 \text{ in}^2\)

Step-by-step explanation:

We can split the composite figure into multiple simpler polygons, find each polygon's area, then add the simpler polygons' areas together to get the area of the entire composite figure.

1. Area of the trapezoid (bottom section)

\(A_{\text{trapezoid}} = \dfrac{b_1 + b_2}{2} \cdot h\)

\(A_{\text{trapezoid}} = \dfrac{5 + 3}{2} \cdot 2\)

\(A_{\text{trapezoid}} = \dfrac{8}{2} \cdot 2\)

\(A_{\text{trapezoid}} = 4 \cdot 2\)

\(A_{\text{trapezoid}} = 8 \text{ in}^2\)

2. Area of the rectangle (middle section)

\(A_{\text{rectangle}} = l \cdot w\)

\(A_{\text{rectangle}} = 3 \cdot 10\)

\(A_{\text{rectangle}} = 30 \text{ in}^2\)

3. Area of the triangle (top section)

\(A_{\text{triangle}} = \dfrac{1}{2} \cdot b \cdot h\)

\(A_{\text{triangle}} = \dfrac{1}{2} \cdot 3 \cdot 4\)

\(A_{\text{triangle}} = 6 \text{ in}^2\)

4. Area of the entire composite figure

\(A = A_{\text{trapezoid}} + A_{\text{rectangle}} + A_{\text{triangle}}\)

\(A = 8 \text{ in}^2 + 30 \text{ in}^2 + 6 \text{ in}^2\)

\(A = 44 \text{ in}^2\)

The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.  It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅  2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1;  sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

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Answer:

Length of rectangular strip = 12

area of rectangular strip =   2*12 = 24

Area of square =  x^2 = 12^2 = 144

Step-by-step explanation:

Area of square x^2

area of rectangle is given by length * width

Length of rectangular strip = x

width of rectangular strip = 2

area of rectangular strip =  length * width = 2*x = 2x

Area of square piece of paper when  rectangular strip is taken away from it

= Area of square - area of rectangular strip

= \(x^2 -2x\)

It is given that Area of square piece of paper when  rectangular strip is taken away from it is 120 square units.

Thus,

\(x^2 -2x = 120\\=> x^2 -2x -120 = 0\\=> x^2 -12x +10x-120\\=> x(x-12) +10(x-12)\\=> (x+10)(x-12) = 0\\\\\)

Thus,

either x+10 = 0 or x -12= 0

x = -10 or x = 12

but length cannot  be negative hence neglecting x = -10

hence value of x is 12.

Hence,

Length of rectangular strip = 12

area of rectangular strip =   2*12 = 24

Area of square =  x^2 = 12^2 = 144

Answer:

10°

Step-by-step explanation:

Look at the inscribed angle theorem for a circle.

Essentially, the angle measure of an inscribed angle is half the measure of its intercepted arc on the circumference of the circle.

So, m∠1 = 20° ÷ 2 = 10°

Answer/Step-by-step explanation:

Angle 1 and angle 11 = none

No special relation between both angles.

Angle 1 and angle 6 = none

Both angles also do not have any special relationship

Angle 12 and angle 15 = same side interior

Angle 12 and angle 15 both interior angles that lie on the same side of the transversal that cuts across two straight lines. They are supplementary.

Step-by-step explanation:

b is the smallest and then a , d, c, e

Answer:

DEH & DEJ

Step-by-step explanation:

It a acute and angle so it equal complementary

Answer:

1 hour and 20 minutes.

Step-by-step explanation:

40+40=80 BUTTTT

40+20=60 60 minutes is a whole hour and then theres 20 minutes left out of the previous 40.

Answer:

y = -1/4x + 2

Step-by-step explanation:

lmk if you want an explanation

Answer:

Measuring an angle using a protractor in anticlockwise direction:  

This is measurement in anticlockwise direction. Thus, we will use the inner scale to measure the angle.

The centre of the protractor is placed on the vertex B of the angle ABC. The base line of the protractor should coincide...

Read the markings where the arm BC overlaps the markings on the protractor.

Step-by-step explanation: Hope this helps :)

Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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Total number of different ways Jeremy assigned students to the four lab task is equal to 72 ways.

As given in the question,

Total number of students = 12

Total number of labs groups are 4 of three

Number of different ways lab activities can be assigned = 4!

Value of n! = n(n-1) (n-2).....(2)(1)

Total number of different ways to represents Jeremy assigned lab activities to the 12 students into four groups

= 4! × 3

= 4 × 3 × 2 × 1 × 3

= 72 ways

Therefore, total number of different ways when Jeremy assigned lab task to his twelve students is equal to 72 ways.

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Answer:

Step-by-step explanation:

0.462

Answer:

0.462 :) hope this helps and please put me as brainiest thankyou !!

Step-by-step explanation:

Answer:

They are complementary angles.

Step-by-step explanation:

The sum of their measurements equals 90 degrees.

Answer: 2 feet.

Step-by-step explanation: 16 - 14 = 2. That would be 14 inches. 2 feet.