The equation y=1/9x represents the distance y, kilometers, that Patrick traveled in x minutes while training for the cycling portion of a triathlon. The table shows the distance y Jennifer traveled in x minutes in her training. Who has the faster training rate?

Answer:

See below:

Step-by-step explanation:

We can use the Pythagorean Theorum to find out the missing side because we have a 90 degree right angle and 2 sides already given to us.

The Pythagorean Theorem states that a^2 + b^2 = c^2

a in this case would be the shortest side,

b in this case would be the 2nd longest side,

c is the hypotenuse.

[tex]a^{2} + b^{2}= c^{2} \\a^{2} + 15^{2} = 17^{2}[/tex]

If we solve this, we get 8!

Cheers!

Answer:

120

Step-by-step explanation:

Given arithmetic sequence

3,5,7,9,.........,21

The first term a=3 & a common difference d=5−3=7−5=⋯=2

If there are n number of terms in the above A.P. then last term l=21 will be the nth term given as

l=a+(n−1)d

21=3+(n−1)2

n=10

hence the sum of given arithmetic progression (A.P.) up to 10 terms is given general formula

Sn=n2(a+l)

S10=102(3+21)

=120

Answer:

B4= 4-6(4-1)

B4= 4-7(3)

B4= 4-18

B4= -14

Answer:

Yes.

Step-by-step explanation:

By looking at the numbers of 35 3/4 inches and 5 7/8 inches, you already know that 35 ÷ 5 is 7. Holly might need extra space in between the postcards, which is perfect since she has the leftover fractions, that equal more than 1.

-kiniwih426

Length of board=35 3/4=143/4in

Length of postcard=5 7/8=47/8in

Total postcards

. [tex]\\ \sf\longmapsto \dfrac{143}{8}\div \dfrac{47}{8}[/tex]

[tex]\\ \sf\longmapsto \dfrac{143}{8}\times \dfrac{8}{47}[/tex]

[tex]\\ \sf\longmapsto \dfrac{143}{47}[/tex]

[tex]\\ \sf\longmapsto 3(Approx)[/tex]

No not best estimated option

Answer:

It is a proper fraction so it cannot be written as a mixed number.

Step-by-step explanation:

Answer:

please mark me as brilliant and answer my questions

Answer:

1st option

y=-3/8x+3

Answer:

he seventh angles measure is 103

Step-by-step explanation:

Interior angles = (number of side in the polygon - 2) times 180.

So Heptagon interior angles = (7-2)(180) = 900

To find the missing angles add all the given angles together (122, 153, 168, 105, 162, and 87) = 797.

Now   The measure of the seventh angles = total angles measure - the six given angles,

  The seventh angles measure is 103  

   900 - 797 = 103

Answer:

40% of 800 is 320

Step-by-step explanation:

0.40×800=320

Answer:

B.

[tex] \frac{1}{ \sqrt{2} } [/tex]

Answer:

i)

Step-by-step explanation:

Tan a = 1

Tan A = tan 45

A = 45.

Now,

Tan b = root 3

Tan b = tan 60.

B = 60.

Now ,

Cos a * cos b - sin A * sin B

= cos 45 * cos 60 - sin 45 * sin 60

= 1/root 2 * 1/2 - 1/root 2 * root 3 /2

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

= 1/root 2 * 1 - root 3 /2

= 1 - root 3 / 2 root 2.

Answer:

m∠QPT = 110°

Step-by-step explanation:

1. We can use exterior angle theorem to find m∠QPT. Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two remote angles in that same triangle.

2. (Solving)

Step 1: Combine like terms.

Step 2: Subtract 20 from both sides.

Step 3: Subtract 5x from both sides.

Step 4: Check if solution is correct.

3. Now, let's plug in 15 for 6x + 20:

Therefore, m∠QPT = 110°.

The volume of the cylinder is the amount of fruit juice it can contain.

The relationship between the volume and the surface area is:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

The given parameter is:

[tex]\mathbf{V = 0.946}[/tex]

The volume of a cylinder is calculated as:

[tex]\mathbf{V = \pi r^2 h}[/tex]

Make h the subject

[tex]\mathbf{h = \frac{V}{ \pi r^2}}[/tex]

The surface area (A) of a cylinder is:

[tex]\mathbf{A = \pi r^2 + \pi rh}[/tex]

Substitute [tex]\mathbf{h = \frac{V}{ \pi r^2}}[/tex]

[tex]\mathbf{A = \pi r^2 + \pi r \times \frac{V}{\pi r^2}}[/tex]

[tex]\mathbf{A = \pi r^2 + \frac{V}{r}}[/tex]

Differentiate

[tex]\mathbf{A' = 2\pi r - Vr^{-2}}[/tex]

Set to 0

[tex]\mathbf{2\pi r - Vr^{-2} = 0}[/tex]

Rewrite as:

[tex]\mathbf{ 2\pi r = Vr^{-2}}[/tex]

Multiply through by r^2

[tex]\mathbf{ 2\pi r^3 = V}[/tex]

Solve for r

[tex]\mathbf{r = \sqrt[3]{\frac{V}{2\pi}}}[/tex]

[tex]\mathbf{A = \pi r^2 + \frac{0.946}{r}}[/tex]

So, we have:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

Hence, the relationship between the volume and the surface area is:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

Read more about surface areas and volumes at:

https://brainly.com/question/3628550

a) 314.285728572857.......

b) i think 5.4 boxes

c) its an under estimate cuz actual value is more than 5

Step-by-step explanation:

a) To find the area of her garden, you need to know the area of a circle: πr²

diameter = 20m

radius = 10m

3.14 × 10² = 314m²

b) If 1 box covers 58m², then we need to work out how many 58m² can fit into her garden, but because its an estimate we round the numbers to 1 significant figure

314 ÷ 58 ≈ 300 ÷ 60 = 5

c) The answer is an underestimate because the actual value is 5.4137...

314 ÷ 58 = 5.4137..

Answer:

9.25, 83^1/2, 8.7, 72^1/2, 2 From greatest to least

2, 72^1/2, 8.7, 83^1/2, 9.25 from least to greatest

Step-by-step explanation:

Answer:-

900

Verification:-

[tex]\\ \sf\longmapsto \dfrac{900}{5}=180[/tex]

[tex]\\ \sf\longmapsto \dfrac{900}{10}=90[/tex]

[tex]\\ \sf\longmapsto \dfrac{900}{15}=6[/tex]

Answer:

a) 100

→ [tex]\frac{100}{5}[/tex] = 20

→ [tex]\frac{100}{10}[/tex] = 10

→ [tex]\frac{100}{15}[/tex] = 6⅔

100 is not divisible by 15

b) 625

→ [tex]\frac{625}{5}[/tex] = 125

→ [tex]\frac{625}{10}[/tex] = 62.5

→ [tex]\frac{625}{15}[/tex] = 41.6

625 is not divisible by 10 and 15.

c) 900

→ [tex]\frac{900}{5}[/tex] = 180

→ [tex]\frac{900}{10}[/tex] = 90

→ [tex]\frac{900}{15}[/tex] = 60

900 is the correct answer.

d) 225

→ [tex]\frac{225}{5}[/tex] = 45

→ [tex]\frac{225}{10}[/tex] = 22.5

→ [tex]\frac{225}{15}[/tex] = 15

225 is not divisible by 15

900 is the correct answer.

Answer:

Therefore, the relationship given in the table is proportional. When we look at the above table when x gets increased, y also gets increased, so it is direct proportion. Substitute 2 for x and 1 for y. So, the constant of proportionality is 1/2.

Answer:la cantidad de invitados y la cantidad de mesas que no nos dio por favor agréguelo para que pueda ayudarlo :))

Step-by-step explanation:

Answer:

By saying "paying the same rate"

I believe you want to know for example when two people are buying a product how to know if they are paying the same amount.

If so then there are a couple of factors at play.

First of all you need to identify the GDP of the product and the amount of tax/VAT which if calculated properly may help you tell if they are paying the same amount or not.

Answer:

thank you for points....

Answer:

The relation is not a function.

Step-by-step explanation:

A function is a relation in which no two ordered pairs have the same input  and different outputs. Whenever you're trying to determine whether a given relation is a function, observe whether each input corresponds with exactly one output.

In this case, the answer is no.  The input value of 10 corresponds with two output values, 4 and 20.  It only takes one input value to associate with more than one output value to be invalid as a function.

Therefore, the given relation is not a function.

Answer:

30m

Step-by-step explanation:

If 1=5

Then

6=?

6÷1×5=30m

Answer:

short answer Yes and No

Step-by-step explanation:

long answer

let's say he drives to and from work 5 days a week that's 110 hours driving to and from work. But let's say he only drives to work and from work 2 days a week that only 44 hours driving to and from work. But now let's say he only drives 2 days a week but has to keep driving to and back from work because he forgets something at his house or at work and say he hasto drive and extra 77 hours because he forgot something that's now 99 hours he drove to and from work but only worked 2 days out of the week

Hope this helped :)

Answer:

The choice B.

[tex]x > 4 \\ x < - 1[/tex]

I hope I helped you^_^

Answer:

c<$12

Step-by-step explanation:

$26-$14>c

$12>c

c<$12

Answer:

14 + c ≤ 26

Step-by-step explanation:

Since Tarek can spend at most $26, then the symbol to represent this relationship/inequality is ≤ (less than or equal to). He's already spent $14, so 14 plus an additional amount should be less than or equal to 26!

Answer:

Answer:

8% is the answer

Answer:

8%

Step-by-step explanation:

4, -1/4 -1,

we can do this simply by

(y2-y1)/(x2-x1)

and simplifying

Answer:

Step-by-step explanation:

First turn the mixed fractions into improper fractions

--> ([tex]\frac{2*5+4}{5}[/tex]) × ([tex]\frac{-5*5+4}{3}[/tex])

      [tex]\frac{14}{5}[/tex]×[tex]\frac{-17}{3}[/tex]

Then multiply. the answer becomes −15 13/15