Graph a line that contains the point (-6, 1) and has a slope of 5?

Answer:

1. 5km/hr

2. 165km/hr

3 2.5m/s

Answer:

1 6.32km/h

2 The average speed of the helicopter will be 96km/ hr or 1.6km/min.

3 2.5 m per second

4 0.002 km/h

Step-by-step explanation:

hope this helps

Answer:

2i\(\sqrt{14}\)

Step-by-step explanation:

Answer: A). 14,866.01 ft^2

Step-by-step explanation:

A=2πrh+2πr2=2·π·26·65+2·π·262≈14866.01644ft²

Answer:

r= 20 units

theeta= 46

L= 2πr* theeta/360

L

L = 160 units

The length of arc is 16.049 unit.

An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference. A curve contains an arc.

We have,

m <STU = 46

and ST = 20 units

So, length of Arc

= 46/ 360 2πr

= 46/360 x 2 (3.14)(20)

= 16.0488 unit

Thus, the length of Arc is 16.0488 unit.

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Answer:

Percent 40% Fraction 4/10 or 40/100 Decimal .40

Step-by-step explanation:

Answer: Without knowing the specifics of the loan (e.g. interest rate, payment amount), it's not possible to determine the exact percentage of the payment that goes towards principal and interest. However, we can make some general observations:

- In the early stages of a loan, most of the payment goes towards interest, with only a small percentage going towards principal.

- As the loan is paid down over time, the percentage of the payment that goes towards principal increases, while the percentage that goes towards interest decreases.

- If the interest rate is fixed, then the payment amount will be constant throughout the life of the loan, and the percentages of principal and interest will change according to the above pattern.

Given the information provided (276 payments totaling $128,616), we can't determine the exact breakdown of principal and interest. However, if we assume that the payment amount and interest rate were fixed throughout the life of the loan, we can make some general estimates.

Let's say the loan has an interest rate of 6% and a fixed monthly payment. We can use a loan amortization calculator to see how the payment is allocated between principal and interest over time. For example, if the loan amount was $100,000, the monthly payment would be $644.30, and the payment breakdown would look something like this:

- In the first payment, $500 goes towards interest and $144.30 goes towards principal (78% interest, 22% principal).

- By the 276th payment, $16.23 goes towards interest and $628.07 goes towards principal (3% interest, 97% principal).

- Based on these estimates, we can see that over time, a larger and larger percentage of the payment goes towards principal, while the percentage that goes towards interest decreases. However, without more specific information about the loan, it's not possible to give an exact answer to this question.

Step-by-step explanation:

Answer:

(1,1.5)

Step-by-step explanation:

x = 1

y = 1.5

Answer: 1728

Step-by-step explanation:

12^3 = 144 * 12 = 1728

Answer:

1728

Step-by-step explanation:

12*12*12=1728

Answer:

Step-by-step explanation:

\(\frac{1879}{2610} = 0.719 = 72\)

The shape is a triangular prism with a triangular base, base area of 24in², height of 5in and volume of 40in³

The given solid is a triangular prism since its base figure is triangular in nature.

Since the base is a triangle, the area of the base is expressed as:

Area = 1/2 * base * height

Area of base = 1/2 * 6 * 8

Area of base = 24 square inches

The height of the solid is 5 inches and the required volume is calculated as:

Volume = BH/3

Volume = 24*5/3

Volume = 40 cubic inches

The shape is a triangular prism with a triangular base, base area of 24in², height of 5in and volume of 40in³

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The required minimal sample size would be 26. This is because in order to estimate the mean score with a margin of error of 10 and a confidence level of 90%, the sample size must be large enough for the Central Limit Theorem to apply.  Therefore, in this case, the sample size would be (1.96*100)/10 = 19.6, which is approximately 26.

1. Calculate the sample size, n: n = (1.96*σ)/m

2. Plug in the values: n = (1.96*100)/10

3. Calculate: n = 19.6

4. Round up: n = 26

The required minimal sample size of 26 is necessary in order to estimate the mean SAT score for a population of students with a 90% confidence interval and a margin of error of 10. This is because, in order for the Central Limit Theorem to apply, the sample size must be large enough. The formula for the sample size is (1.96*σ)/m, where σ is the population standard deviation and m is the margin of error. Plugging in the values, we get (1.96*100)/10, which is approximately 19.6. Therefore, the required minimal sample size is 26. This sample size is necessary in order to make sure that the estimates have a high degree of accuracy and reliability.

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9514 1404 393

Answer:

  a.  h(t) = -20t +400

  b.  θ(t) = arctan(2 -2/15t); dθ/dt = -30/(1125 -120t +4t^2)

  c.  15 seconds; 100 ft

Step-by-step explanation:

a. The initial height of the elevator is 400 ft. The rate of change of height is -20 ft/s, so the height equation can be ...

  h(t) = -20t +400

__

b. The tangent of the angle above the line of sight is "opposite"/"adjacent":

  tan(θ) = (h(t) -100)/(150) = -2/15t +2

  θ(t) = arctan(2 -2/15t) . . . . radians

The derivative of the angle function is ...

  dθ/dt = 1/(1+(2 -2/15t)^2)(-2/15)

  dθ/dt = -30/(1125 -120t +4t^2)

__

c. The value of dθ/dt will have a peak where the denominator has a minimum, at t = -(-120)/2(4)) = 15. (The quadratic vertex coordinate is t=-b/(2a).)

The elevator appears to be moving fastest at t=15 seconds.

The height at that time is ...

  h(15) = 400 -20(15) = 100

The elevator appears to be moving fastest when it is at eye level, 100 ft above the ground.

Answer:

(c) Pi/4

Step-by-step explanation:

3pi/4 = (3 x 180) / 4 = 135 degrees

135 degrees is equivalent to (180 degrees - 135 degrees) 45 degrees

45 degrees = Pi/4

Therefore, the reference angle of 3pi/4 is Pi/4

Thus, the correct option is (c) Pi/4

The reference angle for 3π/4 is π/4.

So, the correct answer is c) π/4.

Given is an angle 3π/4, we need to find its reference angle,

The reference angle is the acute angle formed between the terminal side of an angle and the x-axis in the coordinate plane.

To find the reference angle for an angle, you need to consider the position of the terminal side of the angle in the coordinate plane and determine the acute angle formed.

In this case, we are given the angle 3π/4. To find the reference angle, we need to consider the position of the terminal side of this angle.

The angle 3π/4 lies in the second quadrant of the coordinate plane, where both the x-coordinate and y-coordinate are negative.

To find the reference angle, we need to find the acute angle formed by the terminal side with the x-axis. In the second quadrant, this acute angle is formed by the vertical line connecting the terminal side to the x-axis.

If we draw a vertical line from the terminal side of 3π/4, it intersects the x-axis at π/4.

Therefore, the reference angle for 3π/4 is π/4.

So, the correct answer is c) π/4.

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Answer:

I'm pretty sure it's A,B, and D.

Step-by-step explanation:

Answer:

$6.84

Step-by-step explanation:

This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.

Answer:

2.3 - ( 3, 1)

Step-by-step explanation:

1) Simplify  3 × (1, 1) 3 × (1, 1)  to  3× 1, 13 × 1,1.

2.3 - ( 3 × 1, 1 )

2) Simplify 3 × 1 to 3.

2.3 - ( 3, 1)

Therefor, the answer is 2.3 - ( 3, 1).

The value of the expression is an illustration of equivalent equations

The value of 2.3 - 3(1.1) is -1

The expression is given as:

2.3 - 3(1.1)

Open the bracket

2.3 - 3(1.1) = 2.3 - 3.3

Evaluate the difference

2.3 - 3(1.1) = -1

Hence. the value of 2.3 - 3(1.1) is -1

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Answer:

The answer would be 250.

Step-by-step explanation:

Cindy started off with 250 lollipops, gave away 30 (which is 12% of 250) and stayed with 220.

250-30=220

Answer:

the number of callers on average are in the system at any given time is 440

Step-by-step explanation:

Given that

The calls that arrive in a call center have an average rate of 100 per min

But it we involve the waiting time so the call needed 4.4 minutes

We need to to find no of callers are in the system at any given time

SO,

= 100 per min × 4.4

= 440

hence, the number of callers on average are in the system at any given time is 440

The same would be considered

We could start by drawing the triangle we are given. However, it would be better to draw the triangle after the y-axis reflection. To calculate the y-axis reflection, we first think as follows

We see that the reflected point is at the same height as the original point. This means that the y coordinate should remain the same. So, the only thing that changed is the x coordinate. This suggests that, to calculate the reflection about the y-axis, we simply multiply by -1 the first coordinate. So, after the reflection we get the points

P'(-3*(-1),9)=(3,9)

Q'(-3*(-1),5)=(3,5)

R'(-7*(-1),5) =(7,5)

Now, if we plot this points we get

So, if we rotate this 180° we would get the following

So the new points after rotating 180°, would be

P''(-3,-9)

Q''(-3,-5)

R''(-7,-5)

Answer:

6,000 Video Games

Step-by-step explanation:

To find out how many video games Cloey sold on Sunday, we need to add the number of video games she sold on Friday and Saturday and then subtract that total from the total number of video games she sold over the three days:

Total number of video games sold on Friday and Saturday = 3,878 + 8,999 = 12,877

Total number of video games sold over the three days = (number sold on Friday) + (number sold on Saturday) + (number sold on Sunday)

We know that the total number of video games sold over the three days is the sum of the number sold on Friday and Saturday plus the number sold on Sunday. We can rearrange this equation to solve for the number sold on Sunday:

Number sold on Sunday = Total number sold over three days - Number sold on Friday and Saturday

Substituting in the values we know, we get:

Number sold on Sunday = (number sold on Friday) + (number sold on Saturday) + (number sold on Sunday) - (number sold on Friday) - (number sold on Saturday)

Number sold on Sunday = Total number sold over three days - Number sold on Friday and Saturday

Number sold on Sunday = (3,878 + 8,999 + X) - 12,877

Number sold on Sunday = X - 0

Simplifying this expression, we get:

Number sold on Sunday = 6,000

Therefore, Cloey sold 6,000 video games on Sunday.

Answer:

The correct answer is:

f(2) = g(2) and f(0) = g(0)

Step-by-step explanation:

If f(x) = g(x), this means the values of the functions are the same when using the same numbers.  That means if we use 2 for x, then f(2) would need to be equal to g(2); if we use 0 for x, then f(0) would need to be equal to g(0).  This is the case in this option, so this option is correct.

The y-intercept is the point of (0,y) thus y-intercept of y = 2x + 1 is 1 and it is equal to the given graph of the function.

A graph is a diametrical representation of any function between the dependent and independent variables.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given function,

y = 2x + 1

For y-intercept x = 0

y = 2(0) + 1 = 1

Thus, the y-intercept is 1.

In the graph, the line passes the y-axis at y = 1.

Hence "The y-intercept is the point of (0,y) thus y-intercept of y = 2x + 1 is 1 and it is equal to the given graph of the function".

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The given question missing the graph attached below ;

Answer:

AB=12 AD= 27

Step-by-step explanation:

Answer:

130.5ft²

Step-by-step explanation:

Hello There!

The figure shown is a composite figure ( so we can't find the area of it using one formula )

That being said we want to break the irregular figure into regular figures in which the area can simply be found using a formula

The figure would be broken in to the following shapes

A rectangle with a width of 4 ft and a length of 9 ft

A rectangle with a width of 8 ft and a length of 9 ft

A triangle with a height of 5 ft and a base of 9 ft

Now that we have broken the irregular figure into regular shapes we want to find the area of each individual shape

For the smaller rectangle:

The area of a rectangle can simply be calculated by multiplying the width and length

So A = 9 * 4

9 * 4 = 36

so the area of the smaller rectangle is 36ft²

For the larger rectangle

Once again the area can simply be found by multiplying the width and length

A = 8 * 9

8 * 9 = 72

so the area of the larger rectangle is 72ft²

For the triangle

To find the area of a triangle we want to use this formula

\(A = \frac{bh}{2}\)

where b = base and h = height

We have already identified the base and height so all we have to do is plug in the values into the formula

\(A=\frac{5*9}{2} \\5*9=45\\\frac{45}{2} =22.5\)

so the area of the triangle is 22.5ft²

Finally we add the areas of each regular figure

22.5 + 72 + 36 = 130.5

so we can conclude that the area of the composite figure is 130.5ft²

Answer:

Volume of the pyramid =  927.72 m² (Approx)

Step-by-step explanation:

Given:

Length of base = 16.6 m

Height of the pyramid = 10.1 m

Find:

Volume of the pyramid = ?

Computation:

Area of the square base = Side²

Area of the square base = (16.6)²

Area of the square base = 275.56 m²

\(Volume\ of\ the\ pyramid = \frac{1}{3}(Area\ of\ base)(Height)\\\\Volume\ of\ the\ pyramid = \frac{1}{3}(275.56)(10.1)\\\\Volume\ of\ the\ pyramid = 927.7186\)

Volume of the pyramid =  927.72 m² (Approx)

Answer:

D.

Step-by-step explanation:

To find how much tons each tank can hold, we can use this equation:

So, each tank can hold 28 tons.

To solve for the number of tanks needed to ship 420 tons of gasoline, we can use this equation:

To check, we can use this equation:

Therefore, to ship 420 tons of gasoline with each tank containing 28 tons, the company will need 15 tanks.

Answer:

(-7) times (-8)

Step-by-step explanation:

when you multiply two negatives they become positive so 7 times 8 is 56 which is greater than 4 times 6 that is 24.

Hope that helps!

The distance between the -16 and 9 numbers using absolute value is 25.

The separation between two places in space is measured as distance. It can be determined using different formulas, such as the Euclidean distance formula, and expressed as a numerical value. It can also be shown graphically, like on a map. Distance can also be used to describe a path's length or the amount of time needed to travel between two sites.

The distance between two points on an XY plane is calculated using the distance formula, which is employed in coordinate geometry or Euclidean geometry. The x-coordinate, often known as the abscissa, is a point's separation from the y-axis.

The distance between the numbers -16 and 9 can be expressed using absolute value as |-16 - 9|.

Evaluating the absolute value expression:

|-16 - 9| = |-25| = 25

So, the distance between -16 and 9 is 25.

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