Avery spent 170 minutes outside. If
she spent 64 minutes riding her bike,
48 minutes on the trampoline, and the
rest of the time swimming, how many
minutes did Avery spend swimming?

9514 1404 393

Answer:

  (x, y, z) = (2+44t, 2+14t, 7-20t)

Step-by-step explanation:

One way to write parametric equations for line L is ...

  L = P + t·v

where P is the given point and v is the given direction vector. Using that form, we have ...

  (x, y, z) = (2+44t, 2+14t, 7-20t)

__

If you like, you can remove a common factor of 2 from the coefficients of t.

  (x, y, z) = (2+22t, 2+7t, 7-10t)

Answer:

We know that:

x = 3 + 2*√2

And we want to find the value of:

[tex]x - \frac{1}{x}[/tex]

First, we can rewrite the above expression as:

[tex]x - \frac{1}{x} = \frac{x^2}{x} - \frac{1}{x} = \frac{x^2 - 1}{x}[/tex]

Now we can replace the value of x by  the one above, we will get:

[tex]\frac{x^2 - 1}{x} = \frac{(3 + 2*\sqrt{2})^2 - 1 }{3 + 2*\sqrt{2} } = \frac{3^2 + 2*2*\sqrt{2} + (2*\sqrt{2})^2 - 1 }{3 + 2*\sqrt{2} }[/tex]

Now we can simplify this to get:

[tex]\frac{9 + 4*\sqrt{2} + 4*2 - 1 }{3 + 2*\sqrt{2} } = \frac{16 + 4*\sqrt{2} }{3 + 2*\sqrt{2} }[/tex]

We could finally compute that last equation, to get:

[tex]\frac{9 + 4*\sqrt{2} + 4*2 - 1 }{3 + 2*\sqrt{2} } = \frac{16 + 4*\sqrt{2} }{3 + 2*\sqrt{2} } = 3.716[/tex]

Answer:

Number of  jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)

Step-by-step explanation:

Given:

Amount of salt containing in jar = 32 gram

Total amount of salt in jar = 15 kg

Find:

Number of  jars can be filled from 15kg of the salt

Computation:

Total amount of salt in jar = 15 kg

Total amount of salt in jar (in grams) = 15 x 1000 g

Total amount of salt in jar (in grams) = 15,000 g

Number of  jars can be filled from 15kg of the salt = Total amount of salt in jar (in grams) / Amount of salt containing in jar

Number of  jars can be filled from 15kg of the salt = 15,000 / 32

Number of  jars can be filled from 15kg of the salt = 468.75

Number of  jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)

Answer:

Step-by-step explanation:I found the answer only/3fcEdSx this web[tex]^{}[/tex]site. It seems correct! Link Below!

bit.[tex]^{}[/tex]

Answer:

The range of the data is 75 - 21 = 54 (the difference between the two "whiskers"

The median of the data is 50 (middle line inside the box)

The first quartile "Q1" is 34 (left edge of the box). This means that 25% of the values are < 34.

The third quartile "Q3" is 69 (right edge of the box). This means that 25% of the values are > 69.

The interquartile range is 69-34 = 35. (subtracting Q3 - Q1) 50% of the data falls in this range, from 34 -69. 50% of the data falls in the box.

Let me know if you have questions about this answer. I'm happy to help.

Answer:

Step-by-step explanation:

a = 3

b = 3

c  = 1

Discriminate = sqrt(b^2 - 4ac)

Discriminate = sqrt(9 - 4*3*1)

Discriminate = sqrt(9 - 12)

Discriminate = sqrt(-3)

What negative value means that there are no real roots and the y intercept = 1. You should always graph this kind of question, which I am doing for you. I use Desmos which is a very handy program.

You should notice that the minimum is above the x axis. That means there are no real roots, just as the discriminate tells you.

Alright, whats your question ?

Answer:0

Step-by-step explanation:

Hello!

5^-8(5^4)=

5^(-8)(625)=

5^-5000= 0

Hope this helps, Have a great day!

Answer:

Step-by-step explanation:

the circle is at the origin and (0,4) is a point on the circle then the radius of the circle is:

r^2=0^2+4^2

r^2=16

r=4

so we can check that the other point is four units from the origin and thus also on the circle...

d^2=2^2+6^2

d^2=4+36

d^2=40

since d^2>r^2, (2,6) is outside the circle

srry i believe my answer was wrong i solved instead of simplifying sorry

s

Step-by-step explanation:

Answer:

[tex]\frac{-2cos(x)sin(x)}{(1-sin^2(x))}[/tex]  = -2tanx

Step-by-step explanation:

Answer:

[tex](a)\ f^{-1}(-15) = -6[/tex]

[tex](b)\ f^{-1}(4) + f(9)=0[/tex]

Step-by-step explanation:

Given

The attached table

[tex](a)\ f^{-1}(-15)[/tex]

This represents an inverse function.

So, we look into x row for its value.

i.e.

[tex]f^{-1}(-15) = -6[/tex]

[tex](b)\ f^{-1}(4) + f(9)[/tex]

Just like (a)

[tex]f^{-1}(4) = -11[/tex] ---- by looking into the x rows

[tex]f(9) = 11[/tex]

So:

[tex]f^{-1}(4) + f(9)=-11 + 11[/tex]

[tex]f^{-1}(4) + f(9)=0[/tex]

Step-by-step explanation:

=> V = 4/3 π r³

=> V1 : V2 = r³ : r'³

=> 1³ : 5³

=> 1 : 125

Answer:

14

Step-by-step explanation: divide..

Answer:

14 points per game

Step-by-step explanation:

42/3 = 14

Answer:

A

Step-by-step explanation:

I hope this helps.

Have a good day :)

a.) You randomly choose 2 socks from a drawer, hoping they will match.

Answer:

x= 50

Step-by-step explanation:

area of a triangle is 180

the sides are the same so the bottom 2 angles are the same as well

180 - 80 = 100

100/2 = 50

Answer:

11/3     as improper fraction

3 2/3       as proper fraction

Step-by-step explanation:

5 × ( 1/3 + 2/5 )

use common denominator of 15

5 × ( 5/15 + 6/15 )

Add

5 × ( 11/15)

Reduce

1 × ( 11/3)

11/3

as a proper fraction

3 2/3

Answer:

3.666666667

Step-by-step explanation:

= 5 (1/3 + 2/5)

= (5 (1/3)) + (5 (2/5))

= (1.666666667) + (2)

= 3.666666667

Hope this helps :)

Answer:

24 units²

Step-by-step explanation:

Top triangle: 1/2x2x4=4

Main rectangle: 2x4=8

Bottom trapezoid: 4+8=12. 12÷2=6. 6x2=12

4+8+12=24

Answer:

6

Step-by-step explanation:

Slope = delta y/delta x

[tex]slope = \frac{y_1-y_2}{x_1-x_2}[/tex]

Slope = (-3-3)/(1-2)

Slope = -6/-1

Slope = 6

Answer:

6

Step-by-step explanation:

Given :-

And we need to find the slope of the line passing through the two points . The slope of the line passing through two points is the difference of y coordinates divided by difference of x coordinates.

Substituting the respective values :-

[tex]:\implies[/tex] m = y₁ - y₂/ x₁ - x ₂

[tex]:\implies[/tex] m = -3 -3 / 1 - 2

[tex]:\implies[/tex] m = -6/-1

[tex]:\implies[/tex] m = 6

Hence the slope of the line is 6.

Answer:

15

Step-by-step explanation:

To find the answer you multiply the length by the width.

5×3=15

Answer:

2+2=4

Step-by-step explanation:

I don't even know why this is a question

Answer:

2+2  is 4 ok tell ur thecher it is four

Step-by-step explanation: lol

Answer:

Step-by-step explanation:

the first marble has a probability of  2/5

the second marble has a probability of 1/4

P(r=2) = 2/5 * 1/4 = 2/20 = 1/10

Answer:

2/5, 1/4

Step-by-step explanation:

The total amount of marbles before drawing a marble is 2+3=5. There are 2 red marbles. Thus, the theoretical probability of drawing a red marble from the bag is 2/5.

If you keep the red marble, there are now 4 total marbles in the bag. There is also only 1 remaining red marble. Thus, the theoretical probability of drawing a red marble is now 1/4.

Answer:

Height of Flagpole: 24.03 feet

Length between tip of flagpole and tip of shadow: 46.67 feet

Step-by-step explanation:

So the angle of elevation (31°) is facing directly opposite of the flagpole. The shadow of the flagpole (40 ft) is adjacent to the angle of elevation. Therefore, the tangent function incorporates both the opposite and adjacent sides of the right triangle created. We would then make the equation and solve for the height of the flagpole which is the opposite side (h in this case):

tanθ = opposite/adjacent

tan(31°) = h/40

40tan(31°) = h

24.03442476 = h

h ≈ 24.03

Therefore, the height of the flagpole is about 24.03 ft.

As for your bonus question, the length of the tip of the flagpole to the tip of the shadow would be the hypotenuse of the triangle created, which can easily be found using the Pythagorean Theorem (using exact values):

a² + b² = c²

(40tan(31))² + (40)² = c²

577.6535736 + 1600 = c²

2177.6535736 = c²

46.66533589 = c

c ≈ 46.67

Therefore, the length from the tip of the flagpole to the tip of the shadow is 46.67 ft.

9514 1404 393

Answer:

  (c)  27π cubic centimeters

Step-by-step explanation:

The volume is given by the formula ...

  V = πr²h

Here, the diameter is given as 6 cm, so the radius is 3 cm and the volume is ...

  V = π(3 cm)²(3 cm) = 27π cm³ . . . . . matches the 3rd choice

Answer:

4

Step-by-step explanation:

Answer:

12 = 2 × 2 × 3

32 = 2 × 2 × 2 × 2 × 2

Greater Common Factor = 2 × 2 = 4

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the attached file for the solution.

Answer:

11.2

Step-by-step explanation:

11.2 is the only one that looks reasonable if you're considering the length of it lol

this is the correct answer

The number of full cones of water needed to completely fill the cylinder with water is 8 cones.

The Volume of Cylinder is, V= πr²h

where r is the radius, h is the Height of cylinder.

Given:

Cylinder:

Height= 6

Radius = 4

Volume of cylinder = πr²h

                                = πx 4 x 4 x 6

                                = 96π in³

and, Cone:

Radius = 3

l = 5

h= √5²-3²

h = √25-9

h= √16

h= 4 inch

So, Volume of Cone = 1/3 πr²h

                                  = 1/3 x π x 3 x 3 x 4

                                  =  12π in³

Thus, number of full cones of water needed to completely fill the cylinder with water

= 96π in³/ 12 π in³

= 8 cones

Learn more about volume of cylinder here:

https://brainly.com/question/16134180

#SPJ2

Answer:

E. 12 m

Step-by-step explanation:

b = 2×A/h

= 2×78/13

= 156/13

= 12 m

Answer:

Wins: 12

Losses: 8

Step-by-step explanation:

60% of 20 is 20 x 0.6 = 12

20 - 12 = 8

Answer:

Area = 25m²

Step-by-step explanation:  A=a²=5²=25m²

Answer:

25m²

Step-by-step explanation:

Simply multiply the number of total sides of the shape(4) and  the measurement of each side (5m)

4 sides x 5 meters = 25m²

always put m² after your final answer