1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
damaskus [11]
3 years ago
15

The variables y and x have a proportional relationship, and y = 5 when x = 4.

Mathematics
1 answer:
MrRissso [65]3 years ago
3 0

If the variables y and x have a proportional relationship, we have

xy=k

Since (x,y)=(4,5) is a valid pair, we know that

xy=20

So, if y = 8, we have

8x=20 \iff x=\dfrac{20}{8}=\dfrac{5}{2}

You might be interested in
How many laps per minute <br><br> Minutes 0246<br> Laps 0 1 2 3
Annette [7]
So each lap is about 10 minutes witch makes it possible to be 5
4 0
2 years ago
Ted wanted to determine if one brand of paper towels​ (Brand A) was stronger than another brand​ (Brand B). He performed a study
Mila [183]

Answer:

C) A​ one-tail test will be performed since the alternative hypothesis contains a​ "less than".

Step-by-step explanation:

Test may be categorized as being one tailed or two tailed depending on the inequality sign used when defining the hypothesis ` ; Hypothesis whereby the alternative hypothesis takes a not equal to (≠) are categorized as two talked as the direction of does not point to either the left or right. Conversely, alternative hypothesis which takes a less Than sign or takes a greater Than sign are classed as being one tailed as the they point to a specified direction..

For the scenario given : we are to test the claim that one is stronger than the other ;

For this knid if test it has been stated explicitly that one is greater than another ;

H0 : μ = μ

H0 : μ < μ

4 0
2 years ago
You are standing 350 feet away from a skyscraper that is 750 feet tall. What is the angel of elevation from you to the top of th
ipn [44]
tan\  \alpha = \frac{350}{750} = \frac{7}{15} \approx0.4667\ \ \ and\ \ \  \alpha

5 0
2 years ago
You are dealt five cards from a standard and shuffled deck of playing cards. Note that a standard deck has 52 cards and four of
Gre4nikov [31]

Answer:

((4 choose 3)·(48 choose 2) + (4 choose 4)·(48 choose 1)) / (52 choose 5) = 19/10829 = 0.0018

8 0
2 years ago
You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta
vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

m = -\frac{\cos 2\theta}{\sin \theta}

The tangent line is horizontal when m = 0. Then:

\cos 2\theta = 0

2\theta = \cos^{-1}0

\theta = \frac{1}{2}\cdot \cos^{-1} 0

\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right), for all i \in \mathbb{N}_{O}

\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}, for all i \in \mathbb{N}_{O}

The first four solutions are:

x:   \sqrt{2}   -\sqrt{2}  -\sqrt{2}  \sqrt{2}

y:     1        -1        1     -1

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

6 0
2 years ago
Other questions:
  • Wags eat 3/4 of a cup each day . How many full day will a bag with four cups last?
    13·2 answers
  • The bill at an electronics store was 90$ before tax. Tax is 8 percent. What is the total price with tax?
    12·2 answers
  • For 7 years, Sheri deposits $3350 at the end of each year into an account that earns 19.7% per year compounded annually. Determi
    12·1 answer
  • I have no clue on how to solve this
    5·2 answers
  • -19 ≥ z/7+23 there are no answer choices but I have to write this to make it 20 characters.
    8·1 answer
  • How many fluid ounces are in a pint
    11·2 answers
  • Match the term with the definition
    13·1 answer
  • Simplify.<br> 35<br> 8x<br> 5<br> 16x
    5·1 answer
  • Evaluate r-s if r = -18 and s = -11
    14·2 answers
  • Convert 111.1 to base 10​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!