help me with this question please, thank you !

Answer:

8.2 minutes

Step-by-step explanation:

[tex] \ \frac{492}{60} = 8.2[/tex]

492 seconds = 8.2 minutes

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Explanation:

Focus on the endpoints (0,15) and (10,0). They are the y and x intercepts in that order. This is the starting point and ending point of the ball.

The average rate of change is the slope of the line connecting these endpoints. This is when we consider the entire time the ball is in the air.

Let's use the slope formula to get the following:

[tex](x_1,y_1) = (0,15) \text{ and } (x_2,y_2) = (10,0)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{0 - 15}{10 - 0}\\\\m = \frac{-15}{10}\\\\m = -\frac{3}{2}\\\\[/tex]

The slope is -3/2, which is the average rate of change.

It tells us that the height is decreasing by 3/2 = 1.5 meters per second, which is an average speed.

In other words, the ball is going downward at an average speed of 1.5 meters per second.

Keep in mind the instantaneous speed of the ball is changing all the time. The result of -3/2 = -1.5 only applies to the average speed.

------------

Note how the slope formula involves computing the change in y (which was us computing [tex]y_{2} - y_{1} = 0 - 15 = -15[/tex]. It indicates the ball had gone down 15 meters when going from the start point to the ending point. This is the change in distance. The change in time is the [tex]x_{2} - x_{1} = 10-0 = 10[/tex] portion, meaning the duration is 10 seconds.

In short,

slope = rise/run

slope = (change in distance)/(change in time)

slope = (-15)/(10)

slope = -3/2

So this may be a better way to see what's going on rather than rely on a formula in the previous section.

Jeff should purchase 25 , 2 ounce box and it will cost him $27.5 .

Ounce is defined as 1/16 part of a pound.

It is given that

price of a 2-ounce box is $1.10,

a 16-ounce box is $8.98

a 32-ounce box is $17.98.

As Jeff wants to purchase total 48 ounce chocolates , the box which is more cheaper has to be determined  

The price of 1 ounce in a 2 ounce box is $1.1 /2 = $ 0.55

The price of 1 ounce in a 16 ounce box is $8.98 /16 = $ 0.56

The price of 1 ounce in a 32 ounce box is $17.98 /32 = $ 0.56

Therefore Jeff should purchase 25 , 2 ounce box and it will cost him $27.5 .

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Answer:

The area is 16 inches squared and the perimeter is also 16 inches

Step-by-step explanation:

To find the area, you must multiply the length by the width. Since this is a square, you have to multiply one adjacent side by the other. For perimeter, you can either multiply one side by 4 or add all 4 sides.

The shape of the graph = rose

The domain = all real numbers

Range = [-2,2]

Maximum r-value = Symmetric about the x-axis

The graph is continuous = Yes

Is it bounded = Yes

Any asymptotes = No

This is further explained below.

Generally, the graph is simply defined as a graph is a graphical representation of a relationship, usually between two variables, where each variable is shown along with one of two orthogonal axes.

In conclusion, there is no break in the graph, and it has finite limits.

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Answer:

Squaring both the sides, we get a quadratic and solving it, we find that the possible values of x are -7 and -4.

Step-by-step explanation:

The expression can be written as √(x+8) - 6 = x. Take 6 on the other side and square both the sides.

[√(x + 8)]² = (x + 6)²

x + 8 = x² + 12x + 36

x² + 11x + 28 = 0

x² + 7x + 4x + 28 = 0

(x + 7)(x + 4) = 0

x = -7 and x = -4

The possible values of x are -7 and -4.

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Answer:

how?

Please Attach Figure so someone can Solve...

Step-by-step explanation:

The parts that are missing in the proof are:

It is given

∠2 ≅ ∠3

converse alternate exterior angles theorem

The theorem states that, if two exterior alternate angles are congruent, then the lines cut by the transversal are parallel.

∠1 ≅ ∠3 and l║m because we are: given

By the transitive property,

∠2 and ∠3 are alternate interior angles, therefore, they are congruent to each other by the alternate interior angles theorem.

Based on the converse alternate exterior angles theorem, lines p and q are proven to be parallel.

Therefore, the missing parts pf the paragraph proof are:

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Answer:

it is given

angle 2

angle 3

converse alternate exterior angles theorem

Step-by-step explanation:

Answer:

Graph it the same as = but if the inequality is < or >, graph the equation as a dotted line. If the inequality is ≤ or ≥, graph the equation as a solid line.

Answer:

It should pass the horizontal and vertical line test.

hope it helps!

Answer:

1

Step-by-step explanation:

since there is no other opponent he is sure to get the position hence the probability is maximum

Answer:

C

Step-by-step explanation:

The y intercept is when the graph passes the y axis. This occurs at (0,-2)

Answer:

24

Step-by-step explanation:

Answer:

19/40

Step-by-step explanation:

⅛ over 50

⅖ women

5 x 8 = 40

8 x 2 = 16

1 x 5 = 5

16 + 5 = 21

40 - 21 = 19

19/40

Answer:

19/40 are men under 50

Step-by-step explanation:

Given:

[tex]\begin{aligned}\textsf{Men under 50 yrs old} & = \textsf{total proportion of men} - \textsf{proportion of men over 50}\\\\& = \left(1-\dfrac{2}{5}\right)-\dfrac{1}{8}\\\\& = \dfrac{3}{5}-\dfrac{1}{8}\\\\& = \dfrac{3 \cdot 8}{5 \cdot 8}-\dfrac{1 \cdot 5}{8 \cdot 5}\\\\& = \dfrac{24}{40}-\dfrac{5}{40}\\\\& = \dfrac{19}{40}\end{aligned}[/tex]

To check this, let's assign a number to the total number of players and use this to help us calculate the proportion of players who are men under 50 years old.

Let the total number of video game players be 400.

If 2/5 of all video game players are women, then the proportion of all video game players that are men is:  1 - 2/5 = 3/5

⇒ total number of men = 3/5 of 400 = 3/5 × 400 = 240

If 1/8 of all video game players are men over 50 years old then:

⇒ number of men over 50 yrs old = 1/8 × 400 = 50

Therefore:

⇒ number of men under 50 yrs old = 240 - 50 = 190

Finally, the fraction of men under 50 years old from all video game players is the number of men under 50 divided by the total number of men.

⇒ men under 50 years old = 190/400 = 19/40

Answer:

$11,611.69

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

Given:

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=6000\left(1+\frac{0.045}{1}\right)^{(1 \times 15)}[/tex]

[tex]\implies \sf A=6000(1.045)^{15}[/tex]

[tex]\implies \sf A=11611.69466...[/tex]

Therefore, the value of the investment after 15 years will be $11,611.69 to the nearest cent.

Answer:

Step-by-step explanation:

Negative numbers don't have real square roots since a square is either positive or 0. so it doesn't exist

Answer:

i

Step-by-step explanation:

the square root of  negative one is not real.

It is classed as an imaginary number denoted by  i , that is

[tex]\sqrt{-1}[/tex] = i

Answer:

About 2.13

Step-by-step explanation:

13/4 multiply by 7/8 to get 91/32, then multiply by 0.75(3/4), which is 273/128

Answer:

fuz what hhde you ha thewebsite and it

Answer:

1/5

Step-by-step explanation:

2 units divided into 5 marks each = 10 marks

2/10 = 1/5 unit each mark

the answer I knew but I forgot at ate

Answer:

170

Step-by-step explanation:

each little mark is adding 20 to the 100 you see there and because the arrow is pointing somewhere in between two of the marks, it means it's just adding 10. Now you have to add 100 + the marks + 10

* remember you have three marks and each one of them is equal to 20 so when you add them, you get 60.

100 + 60 + 10 = 170

To find the zeros of a rational function, we must identify values of x that make the numerator equal to 0. We can do this by factoring and by keeping in mind the zero-product property.

The zero-product property states that if the product of two terms is 0, then one of the terms must be equal to 0.

We're given:

[tex]f(x)=\dfrac{4x^2-36x}{x-9}[/tex]

First, factor 4x out of the numerator:

[tex]f(x)=\dfrac{4x(x-9)}{x-9}[/tex]

Let f(x) = 0:

[tex]0=\dfrac{4x(x-9)}{x-9}[/tex]

In this case, either x or (x-9) is equal to zero, as they are the two terms being multiplied in the numerator to get 0 as a product.

This makes the x-intercepts of this function 0 and 9.

However, the denominator in this function is x - 9. If x = 9, then it would make the denominator 0, which is not allowed. Therefore, x cannot equal 9, and the only x-intercept is 0.

x = 0

To answer this question, we need to know what absolute value is in the first place. ANSWERS ARE AT THE BOTTOM.

Absolute value represents how far something is from 0 in a number line.

For example, lets take 4.

4 is 4 units away from 0 on the number line, so the absolute value of 4 is 4.

Now lets look at another example, -4. -4 is also 4 units away from 0, just in the other direction. However, when calculating absolute value, we do not care about the direction. Therfore, the absolute value of -4 is also 4.

Now let's look at your problem.

You want the absolute value of 0 and -4/5

Following the same principle above about the distance from 0, here are your answers:

Absolute value of 0: 0

Absolute value of -4/5: 4/5

Answer:

John = 41 years

Sam = 32 years

Step-by-step explanation:

The secant of circle is SU and RT.

A straight line that intersects a circle in two points is called a secant line.

From the given diagram,

The line which intersects the circle at two points or an extended chord is SU and RT.

Hence, secant is SU and RT.

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The diagram that shows all the lines of symmetry is diagram B.

We define a line of symmetry as a line such that if we perform a reflection over that line, the image coincides with the preimage (so the reflection does not change the figure).

With that in mind, any line that cuts the hexagon in exactly two halves is a line of symmetry.

So the image that shows all the lines of symmetry of the regular is B, where it shows all the lines that cut the hexagon in two equal halves.

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Answer:

(-1,4)

Step-by-step explanation:

Step 1) Change both equations to slope intercept form

3x+y=1 ---> y=-3x+1

5x+y=-1 ---> y=-5x-1

Step 2) Plot lines accordingly on graph

Lines intersect at (-1,4)