When Zakir threw a beach ball to his friend, its horizontal velocity changed as it traveled through the air. The relationship between the elapsed time, t, in seconds, since Zakir threw the ball, and its horizontal velocity, V(t), in cm/s is modeled by the following function: V(t) = 4 x(5/8)^t Complete the following sentence about the rate of change of the horizontal velocity of the ball. Every second, the horizontal velocity of the ball grows/shrinks v by a factor of Report a problem Stuck? Watch a video or use a hint.​

The one that is a step used in the construction of an equilateral triangle inscribed in a circle  is:

B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter

The steps to construct an equilateral triangle inscribed in a circle are:

1. Draw a point that will be the center of the circle. Label this "point O". Technically, it doesn't matter which character you use to represent a point.

2. Draw a perfect circle centered at point O using a compass.

3. Use a ruler to draw a straight vertical line through point O. Extend this line beyond the boundaries of the circle. 4) Draw a point where the line and the circle intersect. Label the bottom point "Point W" and the top point "Point X".

5) Draw a second circle. The center of this circle is point W and the radius extends to point O.

6) Mark both places where the two circles intersect. Label the left point "Point Y" and the right point "Point Z".

7) Connect the points X, Y and Z with a ruler or straightedge. 

Looking at the options, the only correct step is:

B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter

Read more about Equilateral triangle construction at: https://brainly.com/question/28564643

#SPJ1

An absolute maximum point is a point where the function obtains its greatest possible value. Similarly, an absolute minimum point is a point where the function obtains its least possible value.

From the graph provided, we can see a point on the graph that represents the lowest point. This point is at (1, 2). This point is the absolute minimum point.

The absolute maximum value cannot be determined from the graph. This is because the graph continues to increase as we move towards positive infinity, it does not stop at a particular point. Therefore, we don't have an absolute maximum value from the graph.

Therefore, the answer is: Absolute maximum: none; Absolute minimum: f(1) = 2.

The FIRST OPTION is the correct option.

Answer:

53 divided by 3 would be $17.66

so 17.66 times 9 would be $158.94

Answer:

158.4 dollars

Step-by-step explanation:

so first of all the three tickets were 53 dollars so we divide the dollars and the no of tickets like this 53÷3 = 17.6 dollars

so since each ticket is 17.6 dollars now we know that Rosie wants to purchase 9 tickets so we will multiply the no of tickets by dollars per ticket like this

9×17.6= 158.4 dollars

and 158.4 is your answer

Answer:

x = - \(\frac{7}{4}\)

Step-by-step explanation:

Given

20x + 12 = 4x - 16 ( subtract 4x from both sides )

16x + 12 = - 16 ( subtract 12 from both sides )

16x = - 28 ( divide both sides by 16 )

x = \(\frac{-28}{16}\) = - \(\frac{7}{4}\) [ = - 1.75 ]

Answer:

Monthly salary: $5,617; Weekly salary: $1,296

Step-by-step explanation:

Since there are 12 months in a year, you would divide the number of months by the salary.

67400/12x≈5617

The monthly salary is about $5,617.

Since there are about 52 weeks in a year, you would divide the number of weeks by the salary.

67400/52x≈1296

The weekly salary is about $1,296.

Answer:

i told you the answer is -8

Answer:all

recall that the inside angles of a triangle add up to 180

Step-by-step explanation:

now add up all the angles and make it equal to 180 :)  

as follows

X+58+45+85 = 180

now use algebra ... and solve for X  :)

X = 180-58-45-85

my calculators tells me....

X = -8

what does that answer mean?

it's saying ... like this   58-8    is that angle.. does that help    ? :)

Answer:

Answer is d=9t.

Step-by-Step:

4.5/.5=9

6.75/.75=9

13.5/1.5=9

Answer:

  f(-3) = -20

Step-by-step explanation:

We observe that the given x-values are 3 units apart, and that the x-value we're concerned with is also 3 units from the first of those given. So, a simple way to work this is to consider the sequence for x = 6, 3, 0, -3. The corresponding sequence of f(x) values is ...

  34, 10, -8, ?

The first differences of these numbers are ...

  10 -34 = -24

  -8 -10 = -18

And the second difference is ...

  -18 -(-24) = 6

For a quadratic function, second differences are constant. This means the next first-difference will be ...

  ? -(-8) = -18 +6

  ? = -12 -8 = -20

The value of the function at x=-3 is -20.

_____

The attachment shows using a graphing calculator to do a quadratic regression on the given points. The graph can then be used to find the point of interest. There are algebraic ways to do this, too, but they are somewhat more complicated than the 5 addition/subtraction operations we needed to find the solution. (Had the required x-value been different, we might have chosen a different approach.)

If f₀(x)> 0 over an interval, then the y-values of function  f(x) are increasing or positive over that interval.

This means that as x increases, the corresponding y-values of function f(x) also increase. Conversely, if f₀(x)< 0 over an interval, then the y-values of f(x) are decreasing over that interval, meaning that as x increases, the corresponding y-values of f(x) decrease.

This is because f₀(x) is the same function as f(x) except that it has been shifted vertically by some constant amount. Specifically, f(x) = f₀(x) + C, where C is a constant. Since f₀(x) > 0 over the interval, we know that f(x) = f₀(x) + C is positive for all x in the same interval.

Learn more about: Function - https://brainly.com/question/11624077

#SPJ11

Answer:

58m

Step-by-step explanation:

The perimeter of a rectangle equation is as follows:

p = 2(width + height)

The width is 14m and the height is 15m. Plug these into the equation and solve:

p = 2(14 + 15)

p = 2(29)

p = 58

Therefore, Kylie will need 58m of fencing to go all around her land.

Hope this helps!!

- Kay :)

Kylie needs 58 m of fencing to fencing material to go around her lend.

Given that,
Kylie needs to build a fence around her land to keep her dog in.
Her land is a rectangle that is 15m long and 14m wide.

The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.

Perimeter is the measure of the figure on its circumference.

Since in question how many meters of fencing material will kylie need to go all around her land is to be determined.

From the given, we have the length and width of rectangle land which are 15 m  and 14 m respectively.

Since Kylie needs to do fencing all around her land so she must know the perimeter of her land in order to evaluate how much fencing material will be needed.

Perimeter of her land = 2  * length + 2 * width
                                 = 2 * 15 + 2 * 14
                                 =  58 m

Thus, Kylie needs 58 m of fencing to fencing material to go around her lend.

Learn more about rectangles here:
https://brainly.com/question/16021628

#SPJ2

Answer:

y₂ = 3

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - \(\frac{3}{4}\)

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (7, - 6) and (x₂, y₂ ) = (- 5, y₂ )

m = \(\frac{y_{2}+6 }{-5-7}\) , that is

\(\frac{y_{2}+6 }{-12}\) = - \(\frac{3}{4}\) ( cross- multiply )

4(y₂ + 6) = 36 ( divide both sides by 4 )

y₂ + 6 = 9 ( subtract 6 from both sides )

y₂ = 3

Answer:

ok so, u need to simplify the fraction. but the x value is the number that is on the left side when ur simplifying the fraction. also its the one on top not bottom. hope this helps u!

Step-by-step explanation:

Greatest number that divides 300, 560 and 500 is 20 .

Given numbers : 300, 560 and 500

First let’s find prime factors of 300,560 and 500

300 = 2^2 *3^1 *5^2

560= 2^4 * 7^1 *5^1

500 = 2^2 * 5^3

So,

Here highest common power of 2 is 2

Here highest common power of 3 is 0

Here highest common power of 5 is 1

Here highest common power of 7 is 0

Thus HCF (300, 560 and 500) = 2^2 * 5^1 * 3 ^0 * 7 ^0

=4*5*1*1

= 20

Know more about HCF,

https://brainly.com/question/26431349

#SPJ1

Answer:

3

Step-by-step explanation:

well my alexa said so and shes always right so dont worry lol

Answer: 3

Step-by-step explanation:

30: 1, 2, 3, 5, 6, 10, 15, 30

27: 1, 3, 9, 27

The GCF is 3

hope this helps!

The left-hand limit is:-∞ < lim_(x→-6a-) f(x) < ∞And the right-hand limit is:-∞ < lim_(x→-6a+) f(x) < ∞

Since the left-hand and right-hand limits both exist and are finite, but are not equal to each other, the function is also not continuous at x = -6a. This means the Function is discontinuous at x = -6a.Therefore, the correct answer is option d. a = -6.

To find all values x = a where the function is discontinuous, we must consider the following:

First of all, if a function is not defined at some x value (for example, a value that would make the denominator zero), then the function is not continuous at that value. Second, if the left-hand limit at a point and the right-hand limit at that point do not equal to each other, the function is not continuous at that point.

Now let's consider the given function:f(x) = (x² - 36) / (x + 6a)Let's begin by checking if the function is defined for all values of x. We can do this by checking if the denominator (x + 6a) is equal to zero for any value of x. Setting the denominator equal to zero and solving for x, we get:-6a = x

Hence, the function is undefined at x = -6a. This means the function is not continuous at x = -6a.Now let's check the limit as x approaches -6a from the left and right to see if the function is discontinuous.

To do this, we can use the fact that the limit of the function as x approaches some value is equal to the limit of the numerator divided by the limit of the denominator as x approaches that value. As such:lim_(x→-6a) x²-36 = (-6a)² - 36 = 36a² - 36lim_(x→-6a) x+6a = 0

Therefore, the left-hand limit is:-∞ < lim_(x→-6a-) f(x) < ∞And the right-hand limit is:-∞ < lim_(x→-6a+) f(x) < ∞

Since the left-hand and right-hand limits both exist and are finite, but are not equal to each other, the function is also not continuous at x = -6a. This means the function is discontinuous at x = -6a.

Therefore, the correct answer is option d. a = -6.

For more questions on Function.

https://brainly.com/question/11624077

#SPJ8

a) The Mach number at the duct entrance is 0.878.

b) The temperature and pressure in the square section is 727 R.

c) The maximum length of the duct that can be added before the flow chokes is 40.9 feet.

a) To determine the Mach number at the duct entrance, first use the isentropic flow equation to calculate the velocity.

\($\frac{2}{\gamma-1}\left[\left(\frac{P_{0}}{P_{1}}\right)^{\frac{\gamma-1}{\gamma}}-1\right]=M^{2}$\)

Where P0 is the ambient pressure, P1 is the static pressure, and M is the Mach number. Assuming a perfect gas with γ = 1.4,

\($\frac{2}{1.4 - 1}\left[\left(\frac{14.7}{P_{1}}\right) ^{\frac{1.4-1}{1.4}} - 1\right] = M^{2}$\)

Because all we are given is the ambient pressure and a Mach number of 0.50 in the second section, the Mach number at the entrance can be found by solving this equation for M:

\($M = \sqrt{\frac{2}{1.4 - 1}\left[\left(\frac{14.7}{P_{1}}\right) ^{\frac{1.4-1}{1.4}} - 1\right] } = 0.878$\)

b) To determine the temperature and pressure in the 8 x 8 in. square section, use the isentropic flow equation for area ratio

\($\frac{A_{1}}{A_{2}} = \Big(\frac{2}{\gamma+1}\Big)^{\frac{\gamma + 1}{2(\gamma -1)}}M^{\frac{2}{\gamma - 1}}$\)

The area ratio for this problem is:

\($\frac{12^{2}} {8 \times 8} = 4$\)

With a Mach number of 0.50 and γ = 1.4, the equation becomes

\($4 = \Big(\frac{2}{\gamma+1}\Big) ^{\frac{\gamma+1}{2(\gamma-1)}} \big(0.5 \big) ^{\frac{2}{\gamma-1}}$\)

Solving this equation yields

\($P_{2} = 3.27 \quad psia$\)

\($T_{2} = 727 \quad \text{R}$\)

c) To determine the amount of 8 × 8 in. duct that can be added before the flow chokes, use the same equation used in part b. with M=1. The area ratio for this problem is again 4, so the equation becomes

\($4 = \Big(\frac{2}{\gamma+1}\Big) ^{\frac{\gamma+1}{2(\gamma-1)}} \big(1 \big) ^{\frac{2}{\gamma-1}}$\)

Solving for P₂ yields

\($P_{2} = 1.90 \quad psia$\)

Assuming f = 0.04 in the 8 × 8 in. duct, the maximum length of this duct that can be added before the flow chokes is

\($L_{max} = \frac{2 \times 0.04 \times 14.7}{1.90 - 0.04 \times 14.7} \times \frac{144}{\pi D_{2}^{2}} = 40.9 \quad ft$\)

Therefore,

a) The Mach number at the duct entrance is 0.878.

b) The temperature and pressure in the square section is 727 R.

c) The maximum length of the duct that can be added before the flow chokes is 40.9 feet.

Learn more about the temperature and pressure here:

https://brainly.com/question/30313321.

#SPJ4

21 is the right answer.

Mark me the brainliest

Answer:

m∠B = 100°

a = 4.6

b = 7.36

Step-by-step explanation:

By applying sine rule in the given triangle,

\(\frac{\text{sin(A)}}{a}= \frac{\text{sin(B)}}{b}= \frac{\text{sin(C)}}{c}\)

Now substitute the values in the expression,

\(\frac{\text{sin(38)}}{a}= \frac{\text{sin(B)}}{b}= \frac{\text{sin(42)}}{5}\)

\(\frac{\text{sin(38)}}{a}= \frac{\text{sin(42)}}{5}\)

\(a=\frac{5\text{sin(38)}}{\text{sin(42)}}\)

a = 4.6

By applying triangle sum theorem in ΔABC,

m∠A + m∠B + m∠C = 180°

38° + m∠B + 42° = 180°

m∠B = 180° - 80°

m∠B = 100°

\(\frac{\text{sin(100)}}{b}= \frac{\text{sin(42)}}{5}\)

\(b=\frac{5\text{sin(100)}}{\text{sin(42)}}\)

b = 7.36

The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.

From the question above, Mean μ = 10,000

Standard Deviation σ = 1,000

The formula for z-score is :

z = (x-μ) / σ

Where, x = observation

z = z-score

Mean μ = 10,000

Standard Deviation σ = 1,000

From the above formula, let's calculate z-score for x = 11,500

z = (x-μ) / σ

z = (11,500 - 10,000) / 1000

z = 1.5

Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.

P(z ≥ 1.5) = 0.0668

To find the percentage, we need to multiply the above value by 100.

P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%

Learn more about the mean at

https://brainly.com/question/31316869

#SPJ11

Answer:

\(16 (1 +0.09)^{8}\\\)

Future Amount = 38 (rounded)

Step-by-step explanation:

hope this helps.

\((5^{4} *\frac{1}{b^{10} }) ^{-6}\)

\((\frac{5^{4} }{b^{10} } )^{-6}\)

\(\frac{b^{60} }{5^{24} }\)

Answer:

\(m=4\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-2, 1)

Point (-3, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

Equation: (14.50-10)/0.15

Stanley has do 30 extra messages.

\( \frac{(14.5 - 10)}{0.15} \)

Answer:

3

Step-by-step explanation:

You can find the factors 15 and 51, and see what numbers they have in common.

51 = 1, 3, 17, 51

15 = 1, 3, 5, 15

If you look at it, the two numbers they have in common are 1 and 3. But the greatest out of the two is 3.

Answer: The greatest common factor (GCF) of 15 and 51 is 3

Hope this helps! :)

Answer: y = -4x + 3

Step-by-step explanation:

   First, we will write 8x+2y=14 in slope-intercept form.

8x+2y=14

2y = -8x + 14

y = -4x + 7

   Next, we will take this new slope-intercept form equation, y = -4x + 7, and use the slope from it to substitute the coordinate point given to find the y-intercept of the equation we are trying to find.

y = -4x + b

(-5) = -4(2) + b

-5 = -8 + b

b = 3

   Lastly, we will write our equation with a slope of -4 and a y-intercept of 3.

         y = -4x + 3

To evaluate each integral in terms of areas, we need to understand that the integral represents the area under the curve of a function, f(x), between two points on the x-axis.

Let's discuss each integral:

(a) ∫₀⁸ f(x) dx: This represents the area under the curve of f(x) from x = 0 to x = 8. The integral calculates the accumulated area along this interval.

(b) ∫₀²⁰ f(x) dx: Similarly, this represents the area under the curve of f(x) from x = 0 to x = 20. It's a broader interval than (a), so it covers more area under the curve.

(c) ∫²⁰²⁸ f(x) dx: This integral represents the area under the curve of f(x) between x = 20 and x = 28. It's important to note that the interval is now shifted to the right compared to (a) and (b).

(d) ∫¹²²⁸ f(x) dx: This integral calculates the area under the curve of f(x) from x = 12 to x = 28. The interval here is larger than in (c), covering more area under the curve.

(e) ∫¹²²⁸ |f(x)| dx: This integral evaluates the area under the absolute value of f(x) from x = 12 to x = 28. The absolute value ensures that negative function values contribute positively to the area calculation, preventing any cancelation of areas.

(f) ∫₀⁸ f(x) dx: This integral is the same as (a), representing the area under the curve of f(x) from x = 0 to x = 8.

Each integral evaluates the area under the curve of f(x) for different intervals on the x-axis, providing insights into the total accumulated area in those intervals.

To learn more about function  click here

brainly.com/question/12431044

#SPJ11

Answer:

12

Step-by-step explanation:

14 doesn't go into both 48 and 84. 12 is the next highest and it goes into both of them.

Answer:

four times the original surface area