Biking at 10 mph, it takes Kristen 1/4 hour to reach the train station to go to work. Kristen then takes the train to work, and it takes another 1/4 hour for her to get to work when the train travels 20 mph. How far does Kristen travel to work?

Answer:

The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant. If we graph the tangent function on −π2 to π2 , we can see the behavior of the graph on one complete cycle.

The tangent function does not have an amplitude because it has no maximum or minimum value. The period of a tangent function, y=atan(bx) , is the distance between any two consecutive vertical asymptotes..

so its not 1 but 2.

hope its right.

Answer:

Step-by-step explanation:

200 because 4 dived by 2=2. kay?

Answer:

4

Step-by-step explanation:

Answer:

8 x 12 = 96    10 x 8 = 80   96 + 80 = 176 so the answer is 8 helmets and 10 pumps

Step-by-step explanation:

u could ask your teacher for help but i really dk

Answer:

0.09

Step-by-step explanation:

move decimal over to the left twice

Answer: 27/ D8

Step-by-step explanation: Don’t know if you still need the answer and Hope this helps and have a good day

Answer:

A is equal to 20.

Step-by-step explanation:

To find the missing side we have to square both 21 and 29.

 Because 21 x 21 = 441, and 29 x 29 = 841, all we have to do is subtract 841 from 441 and we have 400.

 Now we have to find the square root of 400, since 20 x 20 = 400, that means 20 is our answer.

Answer: x = 24 & x = 96

Step-by-step explanation:

Answer: Every option given is a solution

Any value larger than 18 is a solution. So we can say x > 18.

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Explanation:

To isolate x, we multiply both sides by 6 like so

3 < x/6

3*6 < x

18 < x

x > 18

In the last step, I swapped the left and right sides. This swap meant that I had to flip the inequality sign as well. Saying x > 18 means we can pick anything larger than 18 to have it as a solution. Something like x = 5 is too small, but values like x = 24 and x = 96 will work. In fact, all of the answer choices given are larger than 18. So you'll check each answer box.

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As a way to confirm a potential answer, we plug it back into the original inequality. Let's say we wanted to check x = 90

So,

3 < x/6

3 < 90/6 ... replace every x with 90

3 < 15

The last inequality is true, because 3 is indeed smaller than 15. Therefore, the original inequality is true when x = 90. We confirm that x = 90 is a solution.

The steps to confirm x = 114, x = 96, and x = 24 will follow the same idea. I'll let you do those confirmations.

Answer:

A.) .75

Step-by-step explanation:

So the upper quartile is basically just the median of the bottom half. So we take the bottom half of the numbers:

0.5, 0.5, 0.75, 0.75, 1, 1, 1  

And the median of the is 0.75

So the lower quartile is .75

hope this helps:)

Answer:

24,000 milliliters

Step-by-step explanation:

Because

1 liter = 1000 milliliters

so 24 liters would be 24,000 Milliliters

Answer:

-29

Step-by-step explanation:

y = 2 (-2) ^3 + 5 (-2) - 3

y = -16 -10 -3

y = -26 - 3

y = -29

Then,f(-2)=?

Answer:

32

Step-by-step explanation:

Place -3 in place of x

[tex]3^{3} + 5[/tex]

27 + 5

Answer:

32

Step-by-step explanation:

x^3+5

substitute -> 3^3+5

3^3= 27

27 + 5 = 32

Answer:

729

Step-by-step explanation:

Each side of the cube measures 9cm

The volume of a cube is V^3

Therefore the volume can be calculated as follows

= 9^3

= 729

Hence the volume is 729

Answer:

Second and last options are correct answers.

Step-by-step explanation:

Correct options are:

[tex] \huge \frac{(8^3)^2}{8^{-5}}= \purple {\bold {\frac{8^6}{8^{-5}}}} [/tex]

[tex]\huge \frac{(8^3)^2}{8^{-5}}= \frac{8^6}{8^{-5}}=\red{\bold {8^{11}}} [/tex]

Answer:

option 3

Step-by-step explanation:

divide the diameter by 2 to get the radius.

pi×r^2

3.14×42^2=5538.96 km^2

Answer:

18

Step-by-step explanation:

Step 1: Convert 25% to a fraction

[tex]\frac{25}{100}[/tex]

Simplify

[tex]\frac{1}{4}[/tex]

Step 2: Convert 72 to a fraction

[tex]72 = \frac{72}{1}[/tex]

Step 3: Set it up

[tex]\frac{1}{4}\times \frac{72}{1}[/tex]

Step 4: Cross divide

[tex]72 \div 4 = 18[/tex]

[tex]1 \div 1 = 1[/tex]

[tex]\frac{18}{1} = 18[/tex]

Therefore, the are 18 temporary employees in the local water slides.

Answer:

(a)

Step-by-step explanation:

x^-4 + -4 + -4 + -4 + -4 + -4 = x^-24

hope it helps :)

Answer:

[tex]let \: number \: of \: rides \: be \: \: n \\ let \: cost \: be \: \: c \\ n \: \alpha \: c \\ n = kc \\ k \: is \: a \: costant \: of \: proportionality \\ when \: n = 1. \: \: c = 2 \\ 1 = (k \times 2) \\ k = \frac{1}{2} \\ therefore : \\ n = 0.5c[/tex]

Answer:

[tex]\huge\boxed{\sf x = 6 + 2y}[/tex]

Step-by-step explanation:

Let the total cost be x and number of rides be y

It costs $2 on each ride. So, the rides' cost will be:

=> Number of rides * One rides' cost

=> y * 2

=> 2 y

So, The total cost will be:

Total cost = Entrance cost + Rides' cost

Total cost = $6 + $2(Number of rides)

x = 6 + 2y

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

See below.

Step-by-step explanation:

X-intercepts: (-5, 0) & (-1, 0)

Axis of Symmetry: x = -3

Y-intercept: (0, 5)

Vertex: (-3, -4)

Answer:

[tex]y=\frac{-2}{3}x+8[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points [tex](x_1,y_1)[/tex] are [tex](x_2,y_2)[/tex]

Plug in the given points (0,8) and (3,6)

[tex]m=\frac{6-8}{3-0}\\m=\frac{-2}{3}[/tex]

Therefore the slope of the line is [tex]\frac{-2}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{-2}{3}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{-2}{3}x+b[/tex]

The y-intercept occurs when x=0. One of the given points is (0,8), so therefore, the y-intercept is 8. Plug this into [tex]y=\frac{-2}{3}x+b[/tex]:

[tex]y=\frac{-2}{3}x+8[/tex]

I hope this helps!

Given:

A fruit salad recipe calls for [tex]\dfrac{3}{4}[/tex] pound of apples and [tex]\dfrac{2}{5}[/tex] pound of dates.

To find:

The least common denominator of the fractions.

Solution:

The given fractions are:

[tex]\dfrac{3}{4}[/tex] and [tex]\dfrac{2}{5}[/tex]

The denominators of these fractions are 4 and 5 respectively.

Factor form of 4 is 2×2.

5 is a prime number, so factor form of 5 is 5×1.

Now, the least common denominator of the fractions is:

[tex]LCD=2\times 2\times 5[/tex]

[tex]LCD=20[/tex]

Therefore, the least common denominator of the fractions is 20.

Answer:

$8835.75

Step-by-step explanation:

The equation to use for this is for the area of a circle which is:

π r^2

So by plugging in 15 feet:

π 15^2,

π 225,

~706.86 ft^2.

Next, multiply this by the $12.50 per square foot.

706.86 * 12.50 = $8835.75

All done!

Answer:

-4a/-8 +-12a

Step-by-step explanation:

I'm assuming its just asking you to put it down and now solve it so, I plugged in the top to the bottom, and multiplied it all; getting ^, if its asking for a more simplified answer it would be a/2 + 12a ... I think

Answer:

13

Step-by-step explanation:

Given the expression;

2 1/3 : 4 1/3 = 7 : x

Wea re to look for x;

Convert to improper fractions;

7/3 : 13/3 = 7:x

7/3 * 3/13 = 7/x

7/13 = 7/x

Cross multiply

7x = 13 * 7

7x = 91

x = 91/7

x = 13

Hence the unknown value is 13