The question that needs to be answered is beloww

v

Answer:

4.0 kg

Step-by-step explanation:

F=ma

20.0N = (Mass)*(5.0 m/s^2)

Mass = 20.0N/(5.0 m/s^2)

1 N = 1 kg*m/s^2

Mass = 20.0 kg*m/s^2/(5.0 m/s^2)

Mass = 20.0 kg/5.0 or 4.0 kg

Answer:

It stays a zero or it turns into whatever the b or a is

Step-by-step explanation:

Answer:

slope = 3/1

Step-by-step explanation:

select two clear-cut points, i used (1,2 and (2,5)

use slope formula which is the difference of the y-values over the difference of the x-values to get:

(5-2) / (2-1) = 3/1

slope = 3/1 or 3

Check:

to get from point (1,2) to (2,5) you rise by 3 and go over to the right by one unit

Answer:

3

Step-by-step explanation:

Answer: (4,-7)

Step-by-step explanation:

when f(x) = \(x^3\) the vertex is (0,0). when g(x)= \((x-4)^3-7\) the vertex will be (4,-7). The equation is put into vertex form, in order for us to find the vertex (h,k), followed by \(y=a(x-h)^3+k\). With h=4 and k=-7.

Therefore, the answer is (4,-7)

The correct option that represents the electric field is:

Option D: E = 4πε₀Q(x² + y² + z²)^(3/2)x^ + y^ + z^

The electric field is given by the formula:

E = -∇V

where:

∇ is the del operator, which in Cartesian coordinates is represented as:

∇ = (∂/∂x)x^ + (∂/∂y)y^ + (∂/∂z)z^

Taking the negative gradient of V gives us:

E = -∇V = -[(∂V/∂x)x^ + (∂V/∂y)y^ + (∂V/∂z)z^]

First, let's calculate the partial derivatives of V with respect to x, y, and z:

(∂V/∂x) = (∂/∂x)[4πε₀(Q/√(x² + y² + z²))]

= -4πε₀(Qx/√(x² + y² + z²)³)

(∂V/∂y) = (∂/∂y) [4πε₀(Q/√(x² + y² + z²))]

= -4πε₀(Qy/√(x² + y² + z²)³)

(∂V/∂z) = (∂/∂z) [4πε₀(Q/√(x² + y² + z²))]

= -4πε₀(Qz/√(x² + y² + z²)³)

Now, substituting these derivatives into the expression for E:

E = -[(-4πε₀(Qx/√(x² + y² + z²)³))x^ + (-4πε₀(Qy/√(x² + y² + z²)³))y^ + (-4πε₀(Qz/√(x² + y² + z²)³))z^]

Simplifying, we have:

E = 4πε₀Q(x/√(x² + y² + z²)³)x^ + 4πε₀Q(y/√(x² + y² + z²)³)y^ + 4πε₀Q(z/√(x² + y² + z²)³) z^

Therefore, the correct option is:

(d) E = 4πε₀Q(x² + y² + z²)^(3/2)x^ + y^ + z^

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x=6

y=9

Hope it helps you...

To find the product of (4x-3)(x+2), you can use the distributive property to multiply each term in the first bracket by each term in the second bracket. The result is:

(4x-3)(x+2) = 4x(x+2) - 3(x+2) = 4x^2 + 8x - 3x - 6 = 4x^2 + 5x - 6

The break-even point in units is 3,600. Option d) 3,600 is the correct answer.

The break-even point in units can be calculated by dividing the total fixed costs by the contribution margin per unit. The contribution margin per unit is the difference between the unit sales price and the unit variable cost.

In this case, the fixed costs are $25,200, the unit sales price is $17.50, and the unit variable cost is $10.50. Therefore, the contribution margin per unit is $17.50 - $10.50 = $7.00.

To find the break-even point in units, we divide the fixed costs by the contribution margin per unit:

Break-even point = Fixed costs / Contribution margin per unit

                = $25,200 / $7.00

                = 3,600 units

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The probability of rolling double ones or double sixes at least once in three rolls is 1 - 0.701 = 0.299, or approximately 29.9%.

There are a total of 6 x 6 = 36 possible outcomes when rolling a pair of dice, assuming the dice are fair and unbiased.

The probability of rolling double ones or double sixes on any one roll is 2/36 = 1/18. So, the probability of NOT rolling double ones or double sixes on any one roll is 1 - 1/18 = 17/18.

The probability of not rolling double ones or double sixes on all three rolls is \((17/18) \times (17/18) \times (17/18) = (17/18)^3 = 0.701.\)

Therefore, the probability of rolling double ones or double sixes at least once in three rolls is 1 - 0.701 = 0.299, or approximately 29.9%.

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The statement "The graph of function f is stretched horizontally by a scale factor of 3 to create the graph of function g" is true.

When we replace x with 1/3x in the function f(x), we are essentially stretching the horizontal axis by a factor of 3. This is equivalent to stretching the graph horizontally by a scale factor of 3.

A graph serves as a visual depiction of data, presenting an opportunity to illustrate connections among diverse variables, juxtapose distinct datasets, or showcase information in a clear and comprehensible manner.

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Answer:

5725.65cm

Step-by-step explanation:

Because there are 10mm in every 1cm, we start by taking the 57256.5mm and divide that by 10, effectively moving the decimal point to the left by one number, resulting in 5725.65cm.

Answer:

Creative, Motivated, and Passionate.

Step-by-step explanation:

The describe a successful entrepreneur because you have to be creative because being creative helps you become a better problem solver in all areas of your life and work. You have to be motivational because it allows us to change behavior, develop competencies, be creative, set goals, grow interests, make plans, develop talents, and boost engagement. You have to be passionate because being passionate is the energy that keeps us going, that keeps us filled with meaning, and happiness, and excitement, and anticipation.

Answer:

not exactly an answer but...

Step-by-step explanation:

5y^(2)-9y+6y^((3)/(2))-5y^((1)/(2))+125 = 0 is an equation i came up with. it's un-factorizable though

Answer:

x = 111°

Step-by-step explanation:

Angles in a triangle add up to 180

180 - (29+82) = 69

Angles on a straight line add up to 180

180 - 69 = 111

Answer:

111°

Step-by-step explanation:

the sum of the outer angles of a triangle is alway 180

so 180-82-29= 69°

180-69= 111°

Answer:

x = 100

Step-by-step explanation:

This problem can be solved if you ignore line DC.

We know that angle FED + angle DEB = angle FEB = 100

Now, if you ignore line DC, you realize that FEB and AEG are vertical angles(opposite angles of 2 intersecting lines). This means that FEB is actually congruent to AEG.

So therefore:

x = AEG = FEB = 100

Answer: 7

Step-by-step explanation:

Hope this helps!

Percentage of data within 2 population standard deviations of the mean is 68%.

To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.

The mean can be found by summing all the values and dividing by the total number of values:

Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68

To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.

Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98

Standard Deviation = sqrt(139.98) = 11.83

Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.

Range = 2*11.83 = 23.66

The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:

Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34

Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:

Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).

Therefore, approximately 68% of the data falls within two population standard deviations of the mean.

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Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

The equation that represent the total cost that Charmaine paid is c = 8p

The total cost Charmaine pays for the chocolate can be calculated by multiplying the amount of the chocolate per pound and the total pound of chocolate bought.

The Cost of chocolate = $8 per pound

Charmaine brought = p pounds of chocolate.

Let C be the total cost that Charmaine pays

Then, the total cost paid by Charmaine is

                             c = 8p

This is the equation that represent the total cost that Charmaine paid

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Therefore, the directional derivative of f at P=(1,-1,-2) in the direction of A=3i+2j-6k is -2.

To find the directional derivative of f(x,y,z) at P=(1,-1,-2) in the direction of A=3i+2j-6k, we first need to find the gradient of f at P, which is given by:

grad(f) = ∇f = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k

Here, f(x,y,z) = xy + yz + zx, so we have:

∂f/∂x = y + z

∂f/∂y = x + z

∂f/∂z = x + y

Thus, at P=(1,-1,-2), we have:

∇f(P) = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k

= (y+z)i + (x+z)j + (x+y)k

= (0+(-2))i + (1+(-2))j + (1+0)k

= -2i - 1j + 1k

Next, we need to find the unit vector in the direction of A:

|A| = sqrt(3^2 + 2^2 + (-6)^2) = 7

u = A/|A| = (3/7)i + (2/7)j - (6/7)k

Finally, we can compute the directional derivative of f at P in the direction of A as:

(DAf) | 1(1,-1,-2) = ∇f(P) · u

= (-2i - 1j + 1k) · (3/7)i + (2/7)j - (6/7)k

= -6/7 - 2/7 - 6/7

= -2

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Answer: the full gallon

Step-by-step explanation:

Half gallon = $2.20

full gallon = $3.68

since a half gallon is $2.20, when you buy 2 (to make a full gallon), it costs $4.40

since just buying a full gallon only costs $3.68, it is a better buy*

* if you don’t want a full gallon, however, you would just buy a half gallon. But, I don’t believe that this question is about whether you want a half or full gallon. It’s math.

18. ∆PQR =~ ∆RPA ( by SAS )

19. ∆DQR =~ ∆PQR ( by AAS )

20. ∆ARO =~ ∆PQO ( by AAS )

Parent function is general modulus function

Now

x is increased by +3 so change in x axis and vertex.

The vertex shifted 3 units leftwards .

Means compression factor is 2

Both graphs attached

Answer:

Step-by-step explanation:

Translations

For \(a > 0\)

\(f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}\)

\(y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a\)

Parent function:  \(f(x) = |x|\)

Translated 3 units left:  \(f(x+3)=|x+3|\)

Stretched parallel to the y-axis by a factor of 2:  \(2f(x+3)=2|x+3|\)

Therefore, the function has been:

Attachments

Green graph - parent function   \(f(x) = |x|\)

Red graph - Translated 3 units left   \(f(x)=|x+3|\)

Blue graph - Stretched   \(f(x)=2|x+3|\)

Answer:

y=0.5x+7.2

Step-by-step explanation:

Use the slope-intercept formula.

y=mx+b

m is slope.

b is y-intercept.

m=0.5

b=7.2

y=0.5x+7.2

In function notation:

f(x)=0.5x+7.2

Hope this helps!

The area of the given trapezoid would be 176 feet² with the length of the parallel sides of the trapezoid is 13 feet and 31 feet respectively and the height of the trapezoid given is 16 feet.

Given that,

The length of the parallel sides of the trapezoid is 13 feet and 31 feet

The height of the trapezoid given is 16 feet.

We know that area of trapezoid is (a+b)×h/2

Where, (a) and (b) are Length of the parallel sides of trapezoid and h is the height of trapezoid.

Thus, Area = (13+31) × 16/2

 Area = 22×8

  Area = 176 feet²

Hence the area of the given trapezoid would be 176 feet² with the length of the parallel sides of the trapezoid is 13 feet and 31 feet respectively and the height of the trapezoid given is 16 feet.

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Answer:

hi /\:\%\=\\==\=\=*=*=*=**=*=*÷*÷*÷*÷*÷*÷*÷*÷

Answer:

I did this test a while ago I chose A and it was right I beleieve.

Step-by-step :