seo-jun has 32 coins in his pocket . the coins consist of onilly nickels and quaters . the total value of the coins is $4.00
how many of each coin does he have in his pocket

Answer:

C. 4 radians

Step-by-step explanation:

\(20=\frac{\pi (Ctrl.Angle)(5)}{180}\)

Ctrl Angle = ∅

∅ = \(\frac{(20)(180)}{5\pi } =\frac{3600}{5\pi } =\frac{720}{\pi }\)

in radians:

∅ = \(\frac{720}{180} =4\)

Hope this helps

Answer:

A₁ = 950 mm²

Step-by-step explanation:

region 1 is a trapezium with area (A₁ ) calculated as

A₁ = \(\frac{1}{2}\) h (b₁ + b₂)

where h is the perpendicular height between bases and b₁, b₂ the bases

here h = 38 , b₁ = 30 and b₂ = 20 , then

A₁ = \(\frac{1}{2}\) × 38 × (30 + 20) = 19 × 50 = 950 mm²

Answer:

50/77

Step-by-step explanation:

(1÷2 3/4)+(1÷3 1/2)

2 3/4 is same as 11/44

1/2 is same as 7/2

so to divide fraction you have to flip the second number and multiply

so 1 times 4/11=4/11

and 1 times 2/7=2/7

4/11 +2/7=28/77+22/77=50/77

The issue of too many proficient business-savvy programmers is least likely to arise in machine learning(ml) and artificial intelligence(ai).

What is machine learning?

The process by which computers learn to recognize patterns, or the capacity to continuously learn from and make predictions based on data, then make adjustments without being specifically programmed to do so, is known as machine learning (ML), a subcategory of artificial intelligence.

The operation of machine learning is quite complicated and varies according to the task at hand and the algorithm employed to do it. However, at its foundation, a machine learning model is a computer that analyzes data to spot patterns before using those realizations to better fulfill the work that has been given to it. Machine learning can automate any task that depends on a set of data points or rules, even the more difficult ones.

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Answer:

Step-by-step explanation:

(a) Around the Y-Axis:The shell method states that the volume of a solid of revolution obtained by rotating a plane region about a line is equal to the sum of the volumes of all the cylindrical shells whose heights are equal to the height of the plane region and whose diameters lie along the rotating line.

We must integrate the surface area of each cylindrical shell to find its volume, with surface area = 2πrh and height equal to the thickness of the shell. The thickness of the shell is dy in this case, and the radius of each cylindrical shell is x. Therefore, the volume of the solid of revolution about the line x = -1 is V = π(5 - 2 ln x). (c) Around the X-Axis:The washer method is used to find the volume of the solid of revolution around the X-axis, which states that the volume of a solid of revolution is equal to the difference between the volumes of two cylinders.

When rotating around the X-axis, the cylindrical shell's radius is x, while its height is the thickness of the shell, which is dx.The volume of the solid of revolution around the X-axis is given by V

= ∫(x = 1 to x = e^2) π[(ln x)^2 - 0] dx

= π ∫(x = 1 to x = e^2) (ln x)^2 dx.We integrate by parts to solve the integral, using u

= (ln x)^2 and dv

= dx to obtain V

= π[(ln x)^2 x - 2 ∫(x = 1 to x = e^2) ln x dx].Using u-substitution with u

= ln x and du

= dx/x, the integral reduces to V

= π[(ln x)^2 x - 2x(ln x - 1)] from x

= 1 to x

= e^2.

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Answer:

a = 3, b = - 2

Step-by-step explanation:

Given f(1) = 1 and f(2) = 5, that is

substitute x = 1 and equate to 1, substitute x = 2 and equate to 5

a + b = 1 → (1)

2a + \(\frac{b}{2}\) = 5 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate a

- 2a - 2b = - 2 → (3)

Add (2) and (3) term by term to eliminate a

0 - \(\frac{3}{2}\) b = 3

- \(\frac{3}{2}\) b = 3 ( multiply both sides by - \(\frac{2}{3}\) )

b = - 2

Substitute b = - 2 into (1)

a - 2 = 1 ( add 2 to both sides )

a = 3

Then a = 3 and b = - 2

\(a) \: \: 1000 \times \frac{1}{100} = 10 \\ \)

\(b) \: \: 44 \times \frac{25}{100} = 11 \\ \)

\(c) \: \: 50 \times \frac{30}{100} = 15 \\ \)

Answer:

35. Domain is -∞,∞ Range is y=0.

Step-by-step explanation:

No solution.

The function is 130/2.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.

According to question,

\(\int\limits^9_0 {f(x)} \, dx \\ \int\limits^7_0 {f(x)} \, dx+\int\limits^9_7 {f(x)} \, dx\\ \int\limits^7_0 {7} \, dx + \int\limits^9_7 {x} \, dx\\ (7x)^{7} _{0} + (\frac{x^{2} }{2})^{9} _{7}\)

7x7 - 7x0 + 81/4 - 49/4

49 + 32/2

130/2

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Answer:

number 4/the last option

Step-by-step explanation:

this is because each individual Tshirt = X. and we already know that we have 33$ to spend

The derivative of the composite function  y = 1 + 8x is 8

For the given composite function y = 1 + 8x, we can identify the inner function (g(x)) and the outer function (f(u)) as follows:

1. Inner function, g(x): In this case, the inner function is simply g(x) = 8x.
2. Outer function, f(u):

Since the composite function is y = 1 + 8x, we can rewrite it as y = 1 + u, where u = 8x.

Therefore, the outer function is f(u) = 1 + u.

Now, let's find the derivative dy/dx using the chain rule:

dy/dx = dy/du * du/dx

First, find the derivatives of the outer and inner functions:

1. df/du: The derivative of f(u) = 1 + u with respect to u is df/du = 1.
2. dg/dx: The derivative of g(x) = 8x with respect to x is dg/dx = 8.

Now, apply the chain rule:

dy/dx = (dy/du) * (du/dx) = (1) * (8) = 8

So, the derivative dy/dx of the given composite function y = 1 + 8x is 8.

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Answer:

Step-by-step explanation:

The x-intercepts are the points with y- coordinate of 0

a) x-intercepts are

b) midpoint of x-intercepts is

c) The extheme value has x- coordinate of - 2.5 and y- coordinate

d) f(- 2.5) = - 30.25

Answer:

\(\sf a) \quad x = -8 \:\:and \:\:x = 3\)

\(\sf b) \quad \left(-\dfrac{5}{2},0\right)\)

\(\sf c) \quad \left(-\dfrac{5}{2},-\dfrac{121}{4}\right)\)

\(\sf d) \quad f(x)=\left(x+\dfrac{5}{2}\right)^2-\dfrac{121}{4}\)

Step-by-step explanation:

Part (a)

The x-intercepts are the x-values when the curve crosses the x-axis, so when the function is equal to zero:

\(\implies f(x)=0\)

\(\implies (x-3)(x+8)=0\)

Therefore:

\((x-3)=0 \implies x=3\)

\((x+8)=0 \implies x=-8\)

Therefore, the x-intercepts are x = -8 and x = 3

Part (b)

\(\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)\)

\(\sf \implies Midpoint=\left(\dfrac{-8+3}{2},\dfrac{0+0}{2}\right)=\left(-\dfrac{5}{2},0\right)\)

Therefore, the midpoint of the x-intercepts is (-5/2, 0)

Part (c)

The extreme value is the vertex.  The vertex is:

The x-coordinate of the vertex is the x-value of the midpoint of the x-intercepts.  Therefore, the x-value of the extreme value is x = -5/2.

To find the y-coordinate, substitute this into the given equation:

\(\implies \sf y=\left(-\dfrac{5}{2}-3\right)\left(-\dfrac{5}{2}+8\right)=-\dfrac{121}{4}\)

Therefore, the extreme value is:

\(\sf \left(-\dfrac{5}{2},-\dfrac{121}{4}\right)\)

Part (d)

The function in vertex form is:

\(\sf f(x)=\left(x+\dfrac{5}{2}\right)^2-\dfrac{121}{4}\)

\(\begin{aligned}\implies \sf f\left(-\dfrac{5}{2}\right)& = \sf \left(-\dfrac{5}{2}+\dfrac{5}{2}\right)^2-\dfrac{121}{4}\\\\ & = \sf 0 -\dfrac{121}{4}\\\\ & = \sf -\dfrac{121}{4} \end{aligned}\)

Answer:

∠BEA = ∠CED = 104° (vertical angles)

∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°

∠BEA and ∠AED are supplementary angles. 104 + 76 = 180

Step-by-step explanation:

Vertical angles are opposite angles formed by the intersection of two lines. Vertical angles are congruent to each other.

Complementary angles are angle whose sum add up to 90° while supplementary angles are angles whose sum add up to 180°

Two angles are adjacent if they are placed side by side and share the same vertex.

∠BEA = ∠CED = 104° (vertical angles)

∠ABE and ∠CBE are complimentary angles, i.e. ∠ABE + ∠CBE = 90°

∠BEC and ∠CED are not vertical angles

∠BEA and ∠AED are supplementary angles. 104 + 76 = 180

∠BEA and ∠AED are not adjacent angles

Answers: A B D

Step-by-step explanation:

I did the quiz

Answer:6777

Step-by-step explanation: 1+6776=6777

Step-by-step explanation:

Graph y=1/4x+5

y=14x+5�=14�+5

Rewrite in slope-intercept form.

y=14x+5�=14�+5

Use the slope-intercept form to find the slope and y-intercept.

Slope: 1414

y-intercept: (0,5)(0,5)

Any line can be graphed using two points. Select two x� values, and plug them into the equation to find the corresponding y� values.

xy0546��0546

Graph the line using the slope and the y-intercept, or the points.

Slope: 1414

y-intercept: (0,5)(0,5)

xy0546��0546



Answer:

of(x) = (x-7)(x-5)(x - 5)(x + 2)

Step-by-step explanation:

The points on each linear function are given as follows:

The slope-intercept representation of a linear function is given as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

In the context of this problem, the points on segment AB are given as follows:

A(-7,-4), B(5,4).

Hence the slope is:

m = (4 - (-4))/(5 - (-7)) = 8/12 = 2/3.

The coordinates of point C are given as follows:

C(-2,6).

When two lines are parallel, they have the same slope, hence:

y = 2/3x + b

When x = -2, y = 6, hence the intercept b is calculated as follows:

6 = 2/3(-2) + b

b = 6 + 4/3

b = 22/3.

Hence the parallel line is:

y = 2/3x + 22/3.

Another point on the line is found when x = 1, hence:

y = 2/3(1) + 22/3 = 24/3 = 8.

Hence point (1,8).

When two lines are perpendicular, the multiplication of their slopes is of -1, hence:

2/3m = -1

m= -3/2.

Hence:

y = -3/2x + b

When x = -2, y = 6, hence the intercept b is calculated as follows:

6 = -3/2(-2) + b

6 = 3 + b

b = 3.

Hence the perpendicular line is:

y = -3/2x + 2.

Another point is when x = 2, hence:

y = -3/2(2) + 2

y = -1.

Point (2,-1).

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Answer:

-1/10, 2/10, and 4/10

Step-by-step explanation:

A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0.

First, what is the lcm of 5 and 2? the lcm is 10, because that is the lowest number than can be divided separately by 5 and 2 and the results would still be a whole number.

We now need to find 3 rational numbers between -2/10 and 5/10. It's easy now that I've explained it, right?

-1/10, 2/10, and 4/10 are between -1/5 and 1/2 and are integers with the given explanation.

Hope this helps.

Answer:

y= -1/10x + 77 /10.........

Answer:

Square

Step-by-step explanation:

Square and Rhombus has all sides equal and opposite sides parallel.

But only in square angles are right angles.

Answer:

square

Step-by-step explanation:

The vectors u=[−10 5], v=[13 −5], and w=[−11 25] are linearly dependent. we can find the scalars c1, c2, and c3 that satisfy the equation u+v+w=0.

To find the scalars that satisfy the equation u+v+w=0, we need to determine a nontrivial linear combination of the vectors that equals zero.

To check for linear independence, we construct a matrix A using the given vectors as its columns. If the rank of A is less than the number of columns (in this case, 3), then the vectors are linearly dependent.

A = [u v w] = [[-10 5] [13 -5] [-11 25]]

We can row reduce the matrix A to determine its rank. After row reduction, we find that the rank of A is 2, which is less than 3. Therefore, the vectors u, v, and w are linearly dependent.

To find the scalars that satisfy the equation u+v+w=0, we can write it as a linear combination:

c1u + c2v + c3w = 0

Substituting the values of u, v, and w, we have:

c1[-10 5] + c2[13 -5] + c3[-11 25] = [0 0]

Simplifying, we get the system of equations:

-10c1 + 13c2 - 11c3 = 0

5c1 - 5c2 + 25c3 = 0

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The values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

We know that the amplitude, A = 2 + T; the angular velocity, ω = 4 + U rad/s; and time, t = 1s. Here, the value of T = 1 and the value of U = 4 (as mentioned in the question).

Harmonic motion is a motion that repeats itself after a certain period of time.

Harmonic motion is caused by the restoring force that is proportional to the displacement from equilibrium.

The three types of harmonic motions are as follows: Free harmonic motion: When an object is set to oscillate, and there is no external force acting on it, the motion is known as free harmonic motion.

Damped harmonic motion: When an external force is acting on a system, and that force opposes the system's motion, it is called damped harmonic motion.

Forced harmonic motion: When an external periodic force is applied to a system, it is known as forced harmonic motion.Vectorial formVibrations of harmonic motion can be represented in a vectorial form.

A simple harmonic motion is a projection of uniform circular motion in a straight line.

The displacement, velocity, and acceleration of a particle in simple harmonic motion are all vector quantities, and their magnitudes and directions can be determined using a coordinate system.

Let's now calculate the values of displacement, velocity, and acceleration.

Displacement, s = A sin (ωt)

Here, A = 2 + 1 = 3 (since T = 1)and, ω = 4 + 4 = 8 (since U = 4)

So, s = 3 sin (8 x 1) = 2.68 m (approx)

Velocity, v = Aω cos(ωt)

Here, v = 3 x 8 cos (8 x 1) = 2.24 m/s (approx)

Acceleration, a = -Aω2 sin(ωt)

Here, a = -3 x 82 sin(8 x 1) = -18.07 m/s2 (approx)

Thus, the values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

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Answer:

7.4 m it's because toes are yummy

Answer:

12 pitchers

Step-by-step explanation:

Saturday, 6 pitchers

Sunday, same number of pitchers with Saturday, = 6 pitchers

Total pitchers = 6 + 6 = 12 pitchers

Answer:

Cleo sold 6 pitchers of lemonade on Sunday.

Step-by-step explanation:

Cleo sold lemonade at her lemonade stand.

She sold 6 pitchers on Saturday.

On Sunday, she sold as many pitchers as Saturday.

This implies that she sold 6 pitchers too.

She sold 6 pitchers on Saturday, and 6 pitchers on Sunday.

This double integral evaluates to a value of 2/3 x

What is double integral?

Double integral is a type of integration which involves the integration of two variables. It is used to calculate the area or volume of a function of two variables. This type of integration is used to solve problems in areas such as physics, engineering, probability and statistics. Double integration can be used to calculate the center of mass of a two-dimensional object, or the moments of inertia of a two-dimensional object. In its most basic form, this type of integration involves the calculation of a limit where two variables are integrated with respect to each other.

To evaluate the double integral, one must use the formula for the area of a two-dimensional region: ∫∫f(x, y)dA = ∫∫f(x, y)dxdy. The limits of integration of the region D must also be taken into account. Thus, the double integral can be evaluated as follows:

∫∫(x^2-1)dA = ∫ 0 to 1

∫ 0 to x (x^2-1)dx dy = 2/3 x

This double integral evaluates to a value of 2/3 x

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The table of values of the equation y = -4x is

x y

-2 8

-1 4

0 0

1 -4

Given that

y = -4x

To find the values that complete the table for the given equation y=-4x, we substitute each value of x and evaluate y.

When x = -2, y = -4x = -4(-2) = 8

When x = -1, y = -4x = -4(-1) = 4

When x = 0, y = -4x = -4(0) = 0

When x = 1, y = -4x = -4(1) = -4

So the completed table is:

x y

-2 8

-1 4

0 0

1 -4

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A cubic function is known as a function whose graph is in the shape of a horizontal S.

The graph that meets these requirements is the graph D.