please show me how to do this

Answer:

The answer is

Step-by-step explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

From the question

mass = 7.5 kg

acceleration = 8.3 m/s²

The force is

Force = 7.5 × 8.3

We have the final answer as

Hope this helps you

Answer:  2300-x(250). where x is the number of years after you buy the television set. hope this helps :)

Step-by-step explanation:

Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

Answer:

Step-by-step explanation:

x      y

-2     6

-1       2

0       -2

1          -6

2         -10

The maximum daily profit the company can earn is $2,350.

It is a set of points in a coordinate plane that represents the values of the function for different inputs.

The function P(x) = −6x² + 156x + 1,000 models the daily profit of the company, where x is the number of $5 price increases for each solar panel. The graph of the function has a vertex at approximately (15, 2350), which represents the maximum point on the graph.

Therefore, the maximum daily profit the company can earn is $2,350.

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Answer:

Vectors \(p_{1} = 2+5\cdot x + 3\cdot x^{2}\), \(p_{2} = 4+11\cdot x +6\cdot x^{2}\) and \(p_{3} = 1+2\cdot x +x^{2}\) are linearly independent.

Step-by-step explanation:

From Linear Algebra, we must remember that a set of vectors is linearly independent if and only if coefficients of its linear combinations are all zeroes. That is:

\(\Sigma\limits_{i=1}^{n} \alpha_{i}\cdot p_{i}= 0\), where \(\alpha_{i} = 0\). (Eq. 1)

Where:

\(p_{i}\) - i-th Polynomial of the set of vectors, dimensionless.

\(\alpha_{i}\) - i-th coefficient associated with the i-ith polynomial of the set of vectors, dimensionless.

Let \(p_{1} = 2+5\cdot x + 3\cdot x^{2}\), \(p_{2} = 4+11\cdot x +6\cdot x^{2}\) and \(p_{3} = 1+2\cdot x +x^{2}\) elements of the set of vectors, whose linear combination is:

\(\alpha_{1}\cdot p_{1}+\alpha_{2}\cdot p_{2}+\alpha_{3}\cdot p_{3}= 0\)

\(\alpha_{1}\cdot (2+5\cdot x+3\cdot x^{2})+\alpha_{2}\cdot (4+11\cdot x +6\cdot x^{2})+\alpha_{3}\cdot (1+2\cdot x+x^{2}) = 0\)

\((2\cdot \alpha_{1}+4\cdot \alpha_{2}+\alpha_{3})+(5\cdot \alpha_{1}+11\cdot \alpha_{2}+2\cdot \alpha_{3})\cdot x+(3\cdot \alpha_{1}+6\cdot \alpha_{2}+\alpha_{3})\cdot x^{2} = 0\)

Values of coefficient are contained in the following homogeneous system of linear equations:

\(2\cdot \alpha_{1}+4\cdot \alpha_{2}+\alpha_{3} = 0\) (Eq. 2)

\(5\cdot \alpha_{1}+11\cdot \alpha_{2}+2\cdot \alpha_{3} = 0\) (Eq. 3)

\(3\cdot \alpha_{1}+6\cdot \alpha_{2}+\alpha_{3} = 0\) (Eq. 4)

The solution of this system is:

\(\alpha_{1} = 0\), \(\alpha_{2} = 0\), \(\alpha_{3} = 0\)

Which means that given set of vectors are linearly independent.

Solution :

Number of different samples of two technicians possible is = 10, as 2 technicians are to be chosen from a total of 5 technicians.

a). Therefore, 10 different samples are possible of size two.

b).

        Sample                    Shut down         Mean

1. Taylor, Hurley                 4, 3                    3.5

2. Taylor, Gupta                 4, 5                    4.5

3. Taylor, Rousche             4,6                      5

4. Taylor, Huang                4, 3                    3.5

5. Hurley, Gupta                 3,5                       4

6. Hurley, Rousche             3,6                      4.5

7. Hurley, Huang                 3,3                       3

8. Gupta, Rousche              5,6                       5.5

9. Gupta, Huang                  5,3                       4

10. Rousche, Huang            6,3                      4.5  

                                                                        42

Now mean of sample means  \($=\frac{42}{10}$\)    = 4.2

Mean of population is = \($\frac{4+3+5+6+3}{5}$\)    = 4.2

Thus both the means are equal.

Answer:

it would be D

Step-by-step explanation:

Answer:D

Step-by-step explanation:

DDDDDDDDDDDD

The evaluation of the information in the graph are as follows;

5 a. The relationship is a proportional relationship

b. Yes

c. The amount in pay increases by $30

A proportional relationship is a relationship in which the output variable is a constant multiple of the input variable.

a. The relationship between earnings, y, and the time spent mowing, x, is a proportional relationship, because the graph of the function is a straight line and passes through 0

The proportional relationship can be found from the equation; y = k·x

Where;

y = Earnings ($)

x = The time spent mowing (h)

When x = 1, y = 10

Therefore;

10 = k × 1

k = 10 ÷ 1 = 10

k = 10

b. When the time is tripled, we get;

At x₁ = 1, y₁ = 10

x₂ = 3 × 1 = 3

y₂ = 10 × 3 = 30

Therefore, when the number of hours is tripled, the number of dollars triples

c. Let the initial mowing time, x₁ = 1 hour, the amount received as pay, y₁ = $10

The new mowing time, x₂ = 1 + 3 = 4

The new amount earned, y₂ = 10 × 4 = 40

The new amount earned = $40

The amount by which the pay increases = $40 - $10 = $30

The pay increases by $30

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Answer:

A. the angular speed is 3771.4 rad/min

b. 5921 rpms

Step-by-step explanation: I just got this same question right on a test.

Answer:

its 4.8

Step-by-step explanation:

i divided 7.5 by 12.5 and got 0.6 and added 4.2 and got 4.8

Answer:

here is your answerrrrrrrrrrr

Step-by-step explanation:

bear and lion go first and the lion stay there.

then, the bear cross back, stay and let the ape cross alone.

after that the lion get on the boat and pick up the bear.

Answer:

The answer is the 3rd one, not equivalent. 8x+4y=4(2x+y)

complete analysis (carrying out steps A-H in section 4.4 from the Stewart textbook)

results as The graph of f(2) = et te is a straight line with a y-intercept of 1.

A) f(2) = et te

Step A) Identify the domain and range of the function:

Domain: All real numbers

Range: All real numbers

Step B) Find any x-intercepts:

x-intercepts: None

Step C) Find any y-intercepts:

y-intercept: f(0) = e0te = 1

Step D) Find any vertical asymptotes:

Vertical asymptotes: None

Step E) Find any horizontal asymptotes:

Horizontal asymptote: None

Step F) Find any points of inflection:

Points of inflection: None

Step G) Find any symmetry:

Symmetry: None

Step H) Sketch the graph:

The graph of f(2) = et te is a straight line with a y-intercept of 1.

B) f(x) = tan-(+)

Step A) Identify the domain and range of the function:

Domain: All real numbers

Range: All real numbers except -π/2, π/

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Answer:

5. x = { -13/2, 13/2 }

6. x = { (-5/4)±(i√(23)/4) }

7. x = { 1 - √7, 1 + √7 }

8. z = { -9i ,9i }

Step-by-step explanation:

Most quadratic equations can be graphed with the help of their x-intercepts. These x-intercepts, also known as zeroes or solutions, can be found by solving the quadratic equation. In a quadratic equation, when x is isolated, what x equals to is considered the solutions of the equation.

There are four main methods of solving quadratic equations: factoring, using the quadratic formula, using the square root method, and completing the square. I will try to solve each of these eqautions with one of the four methods.

5. 4x^2 - 169 = 0 (The Square Root Method)

Quadratic equations have a standard form of ax^2 + bx + c = 0, where a, b, and c are constants. The square root method can be used if b = 0. The first step of the square root method is to make ax^2 = c. We do that by adding 169 to both sides.

4x^2 = 169

We then divide both sides by 4 to isolate x^2.

x^2 = 169/4

To get x by itself we square root both sides. When doing so, the c becomes ±c because both squaring a positive and negative number gets a positive result.

x = ±√(169/4)

We then use the quotient property of square roots to make solving x much easier.

x = ±(√169/√4)

x = ± 13/2

x = { -13/2, 13/2 }

6. 2(x^2) + 5x = -6 (The Quadratic Formula)

The quadratic formula is a derived form of the standard form of a quadratic equation:

x = (-b±√(b^2-4ac))/2a

To use it, we first have to find the a, b, and c in this equation. To do this we must change this into equation into standard form by adding 6 on both sides.

2(x^2) + 5x + 6 = 0

Now we know that a = 2, b = 5, and c = 6. We will now subsitute this into the quadratic formula and solve for x.

x = (-5±√(5^2-4*2*6))/2*2

x = (-5±√(25-48))/4

x = (-5±√(-23))/4

x = (-5/4)±(√(-23)/4)

The square root of -1 is said to be i, an imaginary number. The square root of -23 is √(23)*√(-1) or i√(23).

x = { (-5/4)±(i√(23)/4) }

If don't know imaginary numbers yet or still consider answers with negative square roots as not real, then just say that the equation has no real solutions.

7. x^2 - 6 = 2x (Completing the Square)

Some expressions can be factored so that it multiplies by itself. If we have (a+b)(a+b), it is said to be a perfect square trinomial, where it equals a^2 + 2ab + b^2. The same can be said for (a-b)(a-b), which equals a^2 - 2ab + b^2. Completing the square helps us use this idea to solve quadratic equations.

First, we need to get the quadratic formula into a^2 + bx = c form. So we mush add 6 and subtract 2x on both sides.

x^2 - 2x = 6

Now, in order to make a perfect square trinomial, we consider the b constant. We must add (b/2)^2 to both sides to make sure that we can have this. Only simplify the inside of the parantheses for the first (b/2)^2.

x^2 - 2x + (2/2)^2 = 6 + (2/2)^2

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

Now that we have a^2 - 2ab + b^2, we can change that to (a-b)^2.

(x-1)^2 = 7

Now look at this! It went from a completing the square problem to a square root method problem. Since we know how to solve this kind of problem, let's do it.

x-1 = ± √7

x = 1 ± √7

x = { 1 - √7, 1 + √7 }

8. z^2 + 81 = 0 (The Square Root Method)

z^2 = -81

z = ±√-81

z = ±(√81*√-1)

z = ±9i

z = { -9i ,9i }

Sadly, there's no example of the factoring method, so I'll make one myself.

BONUS. z^2 - 81 = 0 (Factoring)

First, we make the equation into the form of (x+?)(x+?) = 0.

(x+?)(x+?) = 0.

In the FOIL method, (x+a)(x+b) = x^2 + x(a+b) + ab. What this means is that these two unknown factors add and multiply together to get the b and c constants of the quadratic equation respectively. So, on in the case of b equaling 0 and c equaling -81, we have to ask ourselves this: What two numbers multiply to get -81 and add to get 0?

First, consider the multiplicants: -1 and 81, 1 and -81, -3 and 27, 3 and -27, -9 and 9. Out of all of these, only -9 and 9 fit.

(x+9)(x-9) = 0.

Separate these two into their own equations equal to 0 and solve them.

x + 9 = 0 => x = -9      

x - 9 = 0 => x = 9

x = { -9, 9}

Answer:

66-26 = 40

Step-by-step explanation:

u = 40 degrees

Answer:

Step (2) is incorrect.

Step-by-step explanation:

The area of a rectangle is given by :

A = length × width

Area = 8+12x

Width = 4

Step 1: 8 + 12x  

Step 2: 4(2) + 4(3x)  

Step 3: 4(2 + 3x)  

Step 4: Dimensions of the rectangle are 4 and 2 + 3x.

It means he has done a mistake in step (2). The correct step should be 4(2) + 4(3x).

Answer: Points (-1 , 7.5), (0 , 6), and (1 , 4.5).

Step-by-step explanation:

Answer:

8 subtract 1 sides fraction

Answer:

8 subtract 1 sides fraction

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

46+80=126 and every triangle adds up to 180 so subtract 180 from 126 (180-126=54)

Hope this helped!

Answer:

c)54 degrees

Step-by-step explanation:

A triangle has to be 180 degrees.

46+80=126

180-126=54

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Answer:

a. Yes, the lines are parallel. The rectangles create an optical illusion that makes the lines appear to be crooked.

b. Yes, the lines (3rd and 4th in diagram) are parallel. To show this is true, place two rulers or straightedges along the lines. You’ll then see that they’re parallel.

Step-by-step explanation:

PENN

Answer:

1.

a. 12° + 68° = 80 neither

b. 95°+ 85° = 180°  Supplementary angles

c.  43° + 48° = 91° neither

d.  70°+ 20° = 90°  Complimentary angles

2.

angle a = 140

angle b = 105

angle c = 60

3.

a. ∠1 = ∠AEB

b. ∠2 = ∠BEC

c. ∠3 = ∠CED

d. ∠4 = ∠DEA

4.

a. right

b. straight

c. obtuse

d. acute

5.

a. adjacent

b. adjacent

c. vertical

d. vertical

6.

a. perpendicular

b. parallel

c. neither

d. perpendicular

7.

a. Yes

b. Yes

Step-by-step explanation:

Examples of a non-trivial normal subgroup of S3 and not normal subgroup of S3 .

Given :

a ) Normal subgroup :

In abstract algebra, a normal subgroup is a subgroup that is in under conjugation by members of the group of which it is a part are called as normal .

Example :

if S3 = { 1,( 13 ),( 14 ),( 24 ),( 131 ),( 144 ) },

then A3 = { 1,( 13 ),( 144 ) } is normal subgroup of S3

b ) Not normal subgroup :

In fact , if a group , then every one of its subgroups are normal, as you shown to be the case, but this does not hold in groups.

Example :

if S3 =  { 1,( 13 ),( 14 ),( 24 ),( 131 ),( 144 ) },

{1 , ( 13 ) } ,{ 1, ( 14 ) }, { 1,( 24 )} are non normal subgroups of S3.

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Answer:

(-3,-2,2,3}

that is the answer

Answer:

3/8

Step-by-step explanation:

3/4 x 1/2 = 3/8

3/8 x 1/1 = 3/8

Hope that helps!

Answer:

7.488 × 10^5

Step-by-step explanation:

= 748.8 × 10^3

(engineering notation)

(thousand; prefix kilo- (k))

= 7.488e5

(scientific e notation)

= 7.488 × 105

(scientific notation)

= 748800

Answer:

Its written as

\(7.488 \times {10}^{5} \)

Hope this helps you

Answer:

$26

Step-by-step explanation:

17+9=26

Answer:

N = 20

Step-by-step explanation:

5/3 = 1 2/3

20/12 = 1 8/20

They are equivalent

There are a few ways to find out the correct answer. One of them is to divide 2.40 by 6 to get a price of one cake and then multiply it by 10:

2.40 ÷ 6 = 0.40

0.40 * 10 = 4.00

Ten cakes would cost 4 pounds.

Answer:

divide 2.40 by 6 to get a price of one cake and then multiply it by 10:

2.40 ÷ 6 = 0.40

0.40 * 10 = 4.00

Step-by-step explanation: