directions: use the digarm to find the correct symbol. Start at the start box and work through the made until you get to the finish box

Answer:

\( \displaystyle \boxed{k = 3}\)

Step-by-step explanation:

to determine the Value of k we need to find the equation of f(x) and g(x)

finding the equation of f(x):

f(x) is a linear function which form is given by:

\( \displaystyle f(x) =mx + b\)

where:

from the graph we acquire that

\(b = 4\)

to figure out m we can consider the following formula:

\( \displaystyle m = \frac{ \Delta y}{ \Delta x} \)

from the graph we obtain that both ∆x and ∆y is 1 thus substitute:

\( \displaystyle m = \frac{ 1}{ 1} \)

simplify:

\( \displaystyle m = 1\)

altogether we acquire:

\( \displaystyle f(x) =x + 4\)

finding the equation of g(x):

likewise f(x)

from the graph we obtain that

thus substitute:

\( \displaystyle m = \frac{ 3}{ 1} \)

simplify:

\( \displaystyle m = 3\)

from the graph we acquire

altogether substitute therefore

\( \displaystyle g(x) =3x + 4\)

finding the value of k:

given that,

\( \displaystyle \rm f(x) \: \text{and} \: g(x) =f(kx) = 3x + 4\)

so our equation is

\( \displaystyle kx + 4 = 3x + 4\)

cancel 4 from both sides:

\( \displaystyle kx = 3x \)

divide both sides by x:

\( \displaystyle \boxed{k = 3}\)

and we're done!

Disclaimer:

at the following link we posted the complete question

the complete question:

Answer:

k = 3

Step-by-step explanation:

Graph is in attachment .

Finding equation of first line [ f(x) ] :-

We can see that the line passea through point ( 0,4) . Therefore ,

Also it passes through (-4,0 )

Now let's find out slope .So that we can use the slope intercept form to find the equⁿ of the line.

Equation of f(x) :-

Similarly when we will find the equⁿ of g(x) :-

By question :-

Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

Given, Returns of the company for the last few years are 5%, 10%, -15%, 20%, -12%, 22%, 8%
Arithmetic Average return:
Arithmetic Average return = (sum of all returns) / (total number of returns)
Arithmetic Average return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Therefore, the arithmetic average return of the company is 2.57%.
Geometric average return:
Geometric average return = [(1+R1) * (1+R2) * (1+R3) * …….. * (1+Rn)]1/n - 1
Geometric average return = [(1.05) * (1.1) * (0.85) * (1.2) * (0.88) * (1.22) * (1.08)]1/7 - 1= 0.13
Therefore, the geometric average return of the company is 13%.
Variance:
Variance = (sum of (return - mean return)2) / (total number of returns)
Mean return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Variance = [(5-2.57)2 + (10-2.57)2 + (-15-2.57)2 + (20-2.57)2 + (-12-2.57)2 + (22-2.57)2 + (8-2.57)2] / 7= 392.12 / 7= 56
Therefore, the variance of the company is 56.
Standard Deviation:
Standard Deviation = Square root of Variance
Standard Deviation = √56= 7.48
Therefore, the standard deviation of the company is 7.48%.

Thus, Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

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Answer:

A: tom has 15 more roses than ana does.

B: 11:4

Step-by-step explanation:

A: there is a 3:1 and 5:2 ratio of roses to tulips. that means that in tom's, there are 3 roses for every tulip and 5 roses for every 2 tulips in ana's.

we know that they each have 30 tulips so now for Tom.

3:1 so to find roses, we need to multiply the value of tulips to 3.

3×30=90 so we know he has a total of 90 roses.

for ana: she also has 30 tulips. BUT now her ratio is 5:2. so for every 2 tulips she has 5 roses. we need to divide the value of tulips by 2 so 30/2=15 and multiply it by 5, 15*5=75

THAT IS NOT THE ANSWER!! to find the rest of the answer, we have to subtract tom's amount by ana's amount: 90-75=15

B: to find this answer, we have to add all of the roses together and all of the tulips together. roses: 90+75=165. tulips: 30+30=60.

the ratio we get is 165:60. and now we need to simplify it.

The street dance group performed a total of 4.5 hours for 8 days during the summer.

From the given image, on the first two days which are Day-1 and Day-2 they performed for 1/4 hour which is  0.25 hours on each day. The next 3 days which are day-3, day-4, and day-5 they performed for 2/4 hour which is 0.5 hour on each day. For the next 2 days which is day-6 and day-7, they performed for 3/4 hours which is 0.75 hours for each day. On the final day which is day-8, they performed for 1 hour.

To find mathematically, the total hours they performed in 8 days is

Total hours = (2 x 0.25) + (3 x 0.5) + (2 x 0.75) + 1 (1)

                   = 0.5 + 1.5 + 1.5 + 1

                   = 4.5 hours

From the above analysis, we can conclude that the dance group performed for a total of 4.5 hours for 8 days.  

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The answer is 1.72.

Division is splitting into equal parts or groups.

Given that 18.92 divided by 11

Let’s have a simple division.

18.92 : 11 = 1.72

Hence, 18.92 divided by 11 equal to 1.72

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Here are the solutions and sketches of the given inequalities on the real number line:

a) x ≥ 4

b)-4 < x < 5

c)the solution is 13 < x < 17

(a) 4x - 6 ≥ 10

4x - 6 ≥ 10

4x ≥ 10 + 6

4x ≥ 16

x ≥ 16/4

x ≥ 4

Thus, the solution is x ≥ 4.

Sketch of the solution on the real number line:

(b) x² - x < 20

x² - x < 20

x² - x - 20

< 0(x - 5)(x + 4) < 0

The critical points are -4 and 5.

Thus, the solution is -4 < x < 5.

Sketch of the solution on the real number line:

(C) | 15 - x | < 2

2 < 15 - x < 215

- 2 < x < 15 + 2

x > 13 or

x < 17

Thus, the solution is 13 < x < 17.

Sketch of the solution on the real number line:

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Answer:

1,056

Step-by-step explanation:

Answer 32x33=33x32 easy

The visibility requirement is 3 statute miles, and cloud clearance requires maintaining 500 feet below, 1,000 feet above, and 2,000 feet horizontally from clouds during VFR daylight operations over Coopers Town.

The visibility and cloud clearance requirements to operate VFR during daylight hours over the town of Coopers Town between 1,200 feet AGL and 10,000 feet MSL are as follows:

1. Visibility: The minimum visibility required is 3 statute miles.

2. Cloud clearance: Maintain a distance of at least 500 feet below, 1,000 feet above, and 2,000 feet horizontally from clouds.

According to VFR regulations, pilots flying during daylight hours must adhere to certain visibility and cloud clearance requirements for safety. The visibility requirement of 3 statute miles means that the pilot must have a clear horizontal view of at least 3 miles ahead.

This ensures sufficient visual reference to navigate and avoid other aircraft or obstacles.

Regarding cloud clearance, pilots must maintain a safe distance from clouds to ensure visibility and separation from potential hazards. The requirement is to remain at least 500 feet below clouds to avoid inadvertently entering them.

Additionally, pilots must maintain a minimum of 1,000 feet above clouds to prevent the risk of collision or reduced visibility due to cloud turbulence. Lastly, a horizontal separation of 2,000 feet from clouds helps ensure adequate maneuvering space and visual reference in relation to cloud formations.

These visibility and cloud clearance requirements help maintain safety and situational awareness for VFR operations during daylight hours over Coopers Town.

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Answer:

The oil will cost 3.76.

Sid paid 76.26.

Step-by-step explanation:

2.15 * 0.75 = 1.61

1.61 + 2.13 = 3.76

62*0.15 = 9.30

62*0.08 = 4.96

Answers:

The unit rate is 8/3

The graph is a straight line through the points (0,0) and (3,8)

===========================================================

Further Explanation:

Each time d increases by 8, t increases by 3

unit rate = slope = (change in d)/(change in t) = 8/3

-----------

All direct variation equations are straight lines that go through the origin (0,0)

Starting at the origin, move 3 units to the right and 8 units up to arrive at (3,8)

Therefore, this straight line goes through the two points (0,0) and (3,8)

If you were to apply the slope formula to these two points, then you should find that m = 8/3 to confirm the previous section's answer.

Answer:

I think the answer is 60 cm

Answer:

p=60cm the area is 225cm ^2

The answer I came up with is B. x > 4,000

hope this helps^^

The coordinates of the vertex of the quadratic functions are (-10, 0)

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.

Given is a quadratic function, y = (x+10)², we need to find the vertex coordinates,

y = (x+10)²

y = x²+100+20x

For x coordinate,

x = -b/2a

x = -20/2

x = -10

Put x = -10 in equation, to find the y coordinate,

y = (-10+10)²

y = 0

The coordinates are (-10, 0)

Hence, the coordinates of the vertex of the quadratic functions are (-10, 0)

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Answer:

\(x=-9\)

Step-by-step explanation:

\(5x+12=-33\)

Subtract 12 from both sides. The left side cancels:

\((5x+12)-12=(-33)-12\\5x=-45\)

Divide both sides by 5. The left side cancels:

\((5x)/5=(-45)/5\\x=-9\)

The value of x is -9.

If the dot indicates the center of the circle, the equation that must be true is

The diameter of the semicircle is shown by line segment bearing the dot at the center.

By drawing a line from each end of the diameter to any location on the semicircle, the inscribed angle is created anywhere you perform this is a 90-degree angle will result.

This mean that angle B = angle A = 90 degrees

hence there addition is 180 degrees

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Answer:

3x +84= 180,

x= 32

Step-by-step explanation:

m∠1 +m∠2= 180° (adj. ∠s on a str. line)

(x +84)° +(2x)°= 180°

x +84 +2x= 180

3x +84= 180

Solving the equation:

3x= 180 -84 (-84 on both sides)

3x= 96

x= 96 ÷3

x= 32

Volume of the parallelepiped determined by the vectors a= ⟨2,4,-1⟩, b=⟨0,3,4⟩, c=⟨2,3,1⟩ using cross product is 20 cubic-units

The volume of a parallelepiped determined by three vectors a, b and c is given by the scalar triple product of these vectors.

Volume = a . (b x c) where x represents the cross product of vectors b and c.

We have a= ⟨2,4,-1⟩, b=⟨0,3,4⟩, c=⟨2,3,1⟩.

Therefore, the cross product of b and c = b x c is given by;b x c=⟨(3x1)-(4x3), (4x2)-(0x1), (0x3)-(2x3)⟩=⟨-9, 8, -6⟩

Now, the scalar triple product is given as follows: a . (b x c)= ⟨2,4,-1⟩ . ⟨-9, 8, -6⟩= 2 (-9) + 4 (8) + (-1) (-6)= -18 + 32 + 6= 20

Thus, the volume of the parallelepiped determined by the vectors a, b and c is 20 cubic units.

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The x- and y-coordinates of the center of mass are; (20, 0)

The center of mass is the location where the sum of the relative position of the masses in a mass distribution is zero. It is the point where force can be applied on the distributed mass without causing a rotation of the system.

The mas of the steel plate = 800 g = 0.8 kg

The base length of the isosceles triangular plate = 20 cm = 0.2 m

The height of the isosceles triangular plate = 30 cm = 0.3 m

Considering a small strip of height, dx and width, I, we get

Area of small strip, dA = I·dx

Density of the plate for a unit thickness, ρ = M/A

Density of the small strip of mass dm = dm/dA

Considering the density of the plate as uniform, we get;

\(\displaystyle {\frac{dm}{dA} =\frac{M}{A}\)

Therefore;

\(\displaystyle {dm=\frac{M}{A}\times dA}\)

The area of the triangular plate, A = (1/2) × 0.2 m × 0.3 m = 0.03 m²

Mass of the plate, M = 0.8 kg

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx}\)

The width of the small strip, I, located at a distance x from the vertex of the triangular plate, using similar triangles, indicates;

\(\dfrac{I}{20} = \dfrac{x}{30}\)

\(I=20\times \dfrac{x}{30} = \dfrac{2}{3} \cdot x\)

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx} = \frac{0.8}{0.03}\times \dfrac{2}{3} \cdot x\cdot dx}\)

The center of mass, \(x_{cm}\), can be obtained with the formula; \(\displaystyle {x_{cm} = \dfrac{1}{M} \cdot \int\limits {x} \, dm }\)

Therefore; \(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx }\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx } = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0\)

\(\displaystyle {x_{cm} = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0=\frac{200}{9} \times \frac{0.027}{3} =0.2\)

The location of the x-coordinate center of mass, \(x_{cm}\) = 0.2 m = 20 cm from the vertex, which is the same location as the x-coordinate of the centroid of the plate of uniform density.

The plate is symmetrical about the x-axis, therefore, the y-coordinate of the center of mass is along the x-axis, which is \(y_{cm}\) = 0

The coordinate of the center of mass = (0.2, 0)

Part of the question requires the location of the coordinate of the center of mass of the triangular plate

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The quadratic equation that has (3·x + β) ans (3·x + a) as the roots can be presented as follows;

9·x² - 7.5·x - 3 = 0

A quadratic equation is an equation that can be expressed in the form; y = a·x² + b·x + c, where, a ≠ 0, and a, b, and c are numbers.

The quadratic equation -2·x² - 5·x + 6 = 0, divided by a factor of -1 indicates that we get;

2·x² + 5·x - 6 = 0

The quadratic formula indicates that we get;

x = (-5 ± √(5² - 4 × 2 × (-6))/(2 × 2) = (-5 ± √(73))/4

Let a = (-5 + √(73))/4 and let β =  (-5 - √(73))/4)

(3·x + ((-5 + √(73))/4)) × (3·x + (-5 - √(73))/4) = 9·x² + 3·x·(-5 - √(73))/4) + 3·x·(-5 + √(73))/4) + ((-5 + √(73))/4)) × (-5 - √(73))/4)

9·x² + 3·x·(-5 - √(73))/4) + 3·x·(-5 + √(73))/4) + ((-5 + √(73))/4)) × (-5 - √(73))/4) = 9·x² - 15·x/2 - 3 = 0

Therefore, the equation that has (3·x + β) ans (3·x + a) as roots is the equation

9·x² - 15·x/2 - 3 = 9·x² - 7.5·x - 3 = 0

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In a recent year, 23 percent of all college students were enrolled part-time. If 8.8 million college students were enrolled part-time that year, the total number of students was 38 million.

A figure or ratio that is expressed as a fraction of 100 is referred to as a percentage. It is symbolised by the '%' percentage sign. 'pct' or 'pc' are the acronyms used to indicate the percentage. In other words, the percentage is measured as the proportion of one item that is made up of another, and it is expressed as a percentage out of 100.

Here, let the total students be x .

Now by the question,

23% of x =  million

x = 8.8(100)/23 million

x ≈ 38 million

Thus, required number of college students are 38 million.

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To send Kred to a Krew member, you can follow the steps provided by the Kred platform. These steps typically involve accessing your Kred account, selecting the desired recipient, specifying the amount of Kred to send, and confirming the transaction.

Sending Kred to a Krew member usually requires using the features and functionalities provided by the specific Kred platform or service. The process may vary depending on the platform, so it is recommended to refer to the official documentation or guidelines provided by the platform. Typically, you would need to log in to your Kred account, navigate to the appropriate section for sending Kred, select the intended recipient from the list of Krew members, enter the desired amount of Kred to send, review the transaction details, and confirm the transfer. The platform may also offer additional options or settings for customizing the transfer process.

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Answer:

3.8 is the answer to your problem. Happy Holidays!

Answer:

17+4x <_ 50

Step-by-step explanation:

To solve the highest price Eric would pay for chips you would want to guess and check to get $8 is the most you can pay for each bag of chips

Answer:384

Step-by-step explanation:Area of all triangles : 10 x 12 = 120 120 divided by 2 = 60 then, 60 x 4 = 240

Area of the Square: 12 x 12 = 144

Surface Area of the Pyramid: 240 + 144 = 384

hope this helps :)

The inequality that is true is: -1.5 > -0.5. (Option 1)

The number line goes from -3 to 3 in increments of 1, so there are 7 equally spaced numbers. Since there are 2 equal spaces between the numbers, each space represents (1/3) x 2 = 2/3 units.

To find the position of -1.5 on the number line, we start at -2 and move two-thirds of a unit to the right. To find the position of -0.5, we start at -1 and move two-thirds of a unit to the right.

Therefore, -1.5 is to the left of -0.5 on the number line, so the inequality -1.5 > -0.5 is true. The other option, -2.5 < -2, is not true because -2.5 is to the left of -2 on the number line.

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Answer:

7

Step-by-step explanation:

Have a good day :)

Answer:

70% of $10 = $7

...............................

3)  since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.

(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:

Total payment A = Monthly installment * Number of installments

              = $375 * 36

              = $13,500

Therefore, Adrian paid a total of $13,500 over the course of 36 months.

(2) In the simple interest formula I = Prt, the letters used represent the following variables:

I: Interest (the amount of interest paid)

P: Principal (the initial amount, or in this case, the car worth)

r: Rate of interest (expressed as a decimal)

t: Time (in years)

(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:

r = (I / Pt) * 100

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Answer:

A perpendicular bisector is a perpendicular line that divides a line into two equal halves

To apply the Perpendicular Bisector Theorem, the land surveyor will need to identify; the midpoint along the line connecting the two stakes

The reason why the surveyor needs to identify the midpoint is as follows:

According to the Perpendicular Bisector Theorem, all points on the perpendicular bisector of a line are of equal distance from the line's endpoint

In order to apply the perpendicular bisector, the surveyor would need to identify the midpoint from which the third stake can be placed 100 ft. along a perpendicular bisector drawn from the midpoint

Therefore, the surveyor needs to identify; the midpoint along the line connecting the two stakes