21
4x + 5
E
חו
What is the value of x?

(a) Given the position function

x(t) = (B m/s²) t² + 5 m

it's clear that the object accelerates at B m/s² (differentiate x(t) twice with respect to t), so that the force exerted on the object is

F(t) = (2 kg) (B m/s²) = 2B N

(b) Recall the work-energy theorem: the total work performed on an object is equal to the change in the object's kinetic energy. The object is displaced by

∆x = x(5 s) - x(0 s)

∆x = ((B m/s²) (5 s)² + 5 m) - ((B m/s²) (0 s)² + 5 m)

∆x = 25B m

Then the work W performed by F (provided there are no other forces acting in the direction of the object's motion) is

W = (2B N) (25B m) = 50B² J = 200 J

Solve for B :

50B² = 200

B² = 4

B = ± √4 = ± 2

Since the change in kinetic energy and hence work performed by F is positive, the sign of B must also be positive, so B = 2 and the object accelerates at 2 m/s².

(c) We found in part (b) that the object is displaced 25B m, and with B = 2 that comes out to ∆x = 50 m.

Answer:

The answer is to the problem is 18.

Considering the definition of equation, for a value of n of 10 the cost and revenue are equal.

A first degree equation is a mathematical equality with one or more unknowns.

Solving an equation consists of finding the value that the unknown must take so that equality is fulfilled.

The steps to solve an equation are as follows:

The cost C in dollars of producing a certain item is represented by the equation C = [tex]\frac{n}{2}[/tex]+ 20, where n represents the number of items produced.

The revenue R, in dollars, from selling n items is represented by the equation R=2n+ 5.

The cost and revenue are equal. Then:

[tex]\frac{n}{2}[/tex]+ 20= 2n+ 5

Solving:

When a term passes to the other side of equality, its sign changes (if it is positive it becomes negative and vice versa):

20 -5= 2n - [tex]\frac{n}{2}[/tex]

15= [tex]\frac{3}{2}n[/tex]

The X is cleared. Since the term in front of it is multiplying, it goes to the other side of the equation by dividing.

15 ÷[tex]\frac{3}{2}[/tex]= n

10= n

Finally, for a value of n of 10 the cost and revenue are equal.

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#SPJ2

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

Hence, the required power in fractional form is ~

Answer:

It is B

Step-by-step explanation:

It's a function because we don't have any repeated x coordinates. Any given x input value leads to exactly one y output value.

The domain is {-3,-2,-1,0,1} which is the set of all x inputs.

The range is {-6, -1, 0, 3, 15} which is the set of y outputs.

Answer:

127/100 = 1.27

1.4

1 whole and 1/3 = 1.5

Step-by-step explanation:

Hope this helps

May I get Braineist pls

Answer:

300kms

Step-by-step explanation:

900÷300 is 300. so then i think it would be 300kms

Answer:

......

Step-by-step explanation:

The volume of the solid of revolution is [tex]\frac{16\pi}{3}[/tex] cubic units.

First, we determine the limits between the two curves. ([tex]f(x) = 4\cdot x -2[/tex], [tex]g(x) = x^{2}+1[/tex])

[tex]f(x) = g(x)[/tex] (1)

[tex]4\cdot x - 2 = x^{2}+1[/tex]

[tex]x^{2}-4\cdot x +3 = 0[/tex]

[tex](x-1)\cdot (x-3) = 0[/tex]

The lower and upper bounds are 1 and 3, respectively. It is to notice that [tex]f(x) > g(x)[/tex] for [tex]x \in (1, 3)[/tex]. Thus, we determine the volume of the solid of revolution by shell method, that is to say:

[tex]V = 2\pi \int\limits^a_b {x\cdot |f(x) - g(x) |} \, dx[/tex] (2)

If we know that [tex]a = 3[/tex], [tex]b = 1[/tex], [tex]f(x) = 4\cdot x - 2[/tex] and [tex]g(x) = x^{2}+1[/tex], then the volume of the solid of revolution is:

[tex]V = 2\pi \int\limits^3_1 {|4\cdot x^{2}-2\cdot x -x^{3}-x|} \, dx[/tex]

[tex]V = 2\pi\int\limits^3_1 {(4\cdot x^{2}-x^{3}-3\cdot x)} \, dx[/tex]

[tex]V = 8\pi \int\limits^3_1 {x^{2}} \, dx - 2\pi \int\limits^3_1 {x^{3}} \, dx -6\pi \int\limits^3_1 {x} \, dx[/tex]

[tex]V = 8\pi\cdot \left(\frac{3^{3}}{3}-\frac{1^{3}}{3} \right)-2\pi \cdot \left(\frac{3^{4}}{4}-\frac{1^{4}}{4} \right) - 6\pi\cdot \left(\frac{3^{2}}{2}-\frac{1^{2}}{2} \right)[/tex]

[tex]V = \frac{208\pi}{3} - 40\pi -24\pi[/tex]

[tex]V = \frac{16\pi}{3}[/tex]

The volume of the solid of revolution is [tex]\frac{16\pi}{3}[/tex] cubic units.

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The Formula of the relation is M = 8AT.

The mass of the metal sheet is 960 g.

The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).

Proportionality:

Removing the proportionality sign,

Where:

make K the subject of the equation:

From the question,

Given:

Susbtitute into equation 1

Formula:

Hence the formula of the relation is M = 8AT

If,

Substitute these values into equation 2

Hence,  the mass of the metal sheet is 960 g

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32

Divide 192 by 6, to find the amount of baseball cards Nick has.

192 ÷ 6 = 32

32 · 6 = 192

192 ÷ 6 = 32

Nick has 32 baseball cards, which is 6 times less than Juan's amount.

Answer:

What's the question lol

Answer:

107

Step-by-step explanation:

Answer:

The answer is 105

Step-by-step explanation:

hope its help:)

Step-by-step explanation:

B

D

A

с

2

2-1

1

2

3 4 5

2 1

2

2 4 5

A

B

2-1

1

2

B

5 4 3 2 1

1

2 3 4 5

Answer:

its 1.944

Step-by-step explanation:

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.

Answer:

x + (4x-20) = 180

by linear pair

therefore x= 70

Applying the definition of linear pair, the value of x is: D. 40.

Therefore:

x + (4x - 20°) = 180°

5x - 20 = 180

5x = 180 + 20

5x = 200

x = 40

Therefore, applying the definition of linear pair, the value of x is: D. 40.

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The answer is C, 4 to the 21st over 5 to the 6th power.

Answer:

2x^2 + 11x – 1

Step-by-step explanation:

You want to find t such that

45 - 7t - 6t² = 25

or

6t² + 7t = 20

Solve for t. By completing the square, we have

6t² + 7t = 20

t² + 7/6 t = 10/3

t² + 7/6 t + (7/12)² = 10/3 + (7/12)²

(t + 7/12)² = 529/144

t + 7/12 = ± 23/12

t = -7/12 ± 23/12

t = -5/2   or   t = 4/3

We ignore the negative solution, so the ball reaches a height of 25 feet at t = 4/3 seconds, or about 1.33 seconds after being thrown.

Answer:

Domain: [0 , ∞)

Range: (-∞ , 4]

Step-by-step explanation:

For domain, look along the x axis.

The graph starts from x = 0 and it's ending point isn't given in the graph as it continues moving along the positive x axis.

Hence, it's ending point must be ∞

Domain of a function is:

[minimum point in x, maximum point in x]

=> [0, ∞)

"),(" is used for infinity.

"],[" for points that lie within the domain of the function.

For range, look along the y axis.

The graph starts at y = 4, and continues moving downwards till infinity.

Range:

[minimum in y, maximum in y]

=> (-∞, 4]

Answer:

[tex]slope = \frac{20 - 16}{5 - 3} [/tex]

[tex] = \frac{4}{2} [/tex]

[tex] = 2 \: is \: the \: answer[/tex]

The slope of the equation is 2.

The slope of an equation shows a gradient line that measures the steepness of the line.

It can be expressed by using the formula:

[tex]\mathbf{slope = \dfrac{\Delta y}{\Delta x}}[/tex]

[tex]\mathbf{slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

From the parameters given;

[tex]\mathbf{slope = \dfrac{20-16}{5-3}}[/tex]

[tex]\mathbf{slope = \dfrac{4}{2}}[/tex]

slope = 2

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Answer:

2

Step-by-step explanation:

5 feet + 12 inches = 2 yards

Therefore

5 feet + 12 inches = yard(2)

I solving for (s)

hope that helps

The given equation above written in the form AX = b will be;

[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]

Given the system of equation;

This equation can be represented in matrix form as [tex]AX = b[/tex]

where:

The given equation above written in the form AX = b will be;

[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]

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Answer:

The equation of a line which contains the point (2, 5) and is parallel to the line y = 3x + 5 is

y = 3x - 1

A line is parallel to another when they both have the same slope.

The two equations above have a common slope of 3.

I hope this helped. Have a good new year!

Answer:

x-1

correct me if im wrong

Explanation:

Divide the side length for B over the corresponding side length for A.

scale factor = B/A = 7/(2.5) = 2.8

Let's now convert this to a fraction

2.8 = 2 + 0.8 = 2 + 8/10 = 20/10 + 8/10 = (20+8)/10 = 28/10

Then reduce that fraction

28/10 = (14*2)/(5*2) = 14/5

Note that 14/5 = 2.8

Answer:

107 :)

Step-by-step explanation:

In total there are 53+8+155+17+145+10+98+2=488 physicians of aerospace medicine. 45-54 year-old males account for 145/488 of this population, so they should account for that fraction of the central angle of the circle graph also. Since there are 360 degrees in the central angle to divide up among the groups, the 45-54 year-old male group should get 145/488 x 360 which rounds to about 107 degrees.