answer.
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
-Dominant- [34]
2 years ago
9

A path is traced from point A to point B by using the segments shown in the diagram. Paths are traced only upwards, to the right

, or diagonally upwards. How many different paths can be traced from A to B?

Mathematics
1 answer:
balu736 [363]2 years ago
5 0

Step-by-step answer:

If one is constrained to move to the right, or up, or diagonally upwards (i.e. remain in the first quadrant), then

there are three choices at A.

At the next position, whichever path one has taken, there are also three choices.

At the following position, there are no more choices.

Therefore, there are 3*3 = 9 different paths.

You might be interested in
For the scotch yoke mechanism shown, the acceleration of point a is defined by the relation a = −1.08sinkt − 1.44coskt, where a
julia-pushkina [17]
<span>Position at t=0.35s is 0.2 m Velocity at t = 0.35s is -0.2 m/s Since this is college level mathematics, the use of the word "acceleration" should indicate to you that you've been given the 2nd derivative of a function specifying the location of point a. And since you've been asked for the velocity, you know that you want the 1st derivative of the function. And since you've also been asked for the position, you also want the function itself. So let's calculate the desired anti-derivatives. f''(t) = -1.08 sin(kt) - 1.44 cos(kt) The integral of f''(t) with respect to t is: f'(t) = (1.08 cos(kt) - 1.44 sin(kt))/k + C In order to find out what C is, we know that at time t=0, v = 0.36 m/s. So let's plug in the values and see what C is: f'(t) = (1.08 cos(kt) - 1.44 sin(kt))/k + C 0.36 = (1.08 cos(3*0) - 1.44 sin(3*0))/3 + C 0.36 = (1.08 cos(0) - 1.44 sin(0))/3 + C 0.36 = (1.08*1 - 1.44*0)/3 + C 0.36 = 0.36 + C 0 = C So the first derivative will be f'(t) = (1.08 cos(kt) - 1.44 sin(kt))/k Now to get the actual function by integrating again. Giving: f(t) = (1.08 sin(kt) + 1.44 cos(kt))/k^2 + C And let's determine what C is: f(t) = (1.08 sin(kt) + 1.44 cos(kt))/k^2 + C 0.16 = (1.08 sin(3*0) + 1.44 cos(3*0))/3^2 + C 0.16 = (1.08 sin(0) + 1.44 cos(0))/9 + C 0.16 = (1.08*0 + 1.44*1)/9 + C 0.16 = 1.44/9 + C 0.16 = 0.16 + C 0 = C So C = 0 and the position function is: f(t) = (1.08 sin(kt) + 1.44 cos(kt))/k^2 So now, we can use out position and velocity functions to get the desired answer: Position: f(t) = (1.08 sin(kt) + 1.44 cos(kt))/k^2 f(t) = (1.08 sin(3*0.35) + 1.44 cos(3*0.35))/3^2 f(t) = (1.08 sin(1.05) + 1.44 cos(1.05))/9 f(t) = (1.08*0.867423226 + 1.44*0.497571048)/9 f(t) = (0.936817084 + 0.716502309)/9 f(t) = 1.653319393/9 f(t) = 0.183702155 So the position of point a at t=0.35s is 0.2 m Now for the velocity: f'(t) = (1.08 cos(kt) - 1.44 sin(kt))/k f'(t) = (1.08 cos(3*0.35) - 1.44 sin(3*0.35))/3 f'(t) = (1.08 cos(1.05) - 1.44 sin(1.05))/3 f'(t) = (1.08*0.497571048 - 1.44*0.867423226)/3 f'(t) = (0.537376732 - 1.249089445)/3 f'(t) = -0.711712713/3 f'(t) = -0.237237571 So the velocity at t = 0.35s is -0.2 m/s</span>
4 0
2 years ago
A newsletter publisher believes that 55% of their readers own a Rolls Royce. Is there sufficient evidence at the 0.05 level to r
melomori [17]

Set up hypotheses:

The null hypotheses is that the proportion of readers who own a Rolls Royce is equal to 0.55

Null hypotheses = H₀: p = 0.55

The alternate hypotheses is that the proportion of readers who own a Rolls Royce is not equal to 0.55

Alternate hypotheses = H₁: p ≠ 0.55

Determine the  type of test:

Since the alternate hypothesis states that the proportion of readers who own a Rolls Royce is different, therefore it is a two-tailed test.

Determine the level of significance and Critical Z-score:

Given level of significance = 0.05

Since it is a two-tailed test,

Z-score = 1.960 (two tailed)

Set up decision rule:

Since it is a two-tailed test, using a Z statistic at a significance level of 5%

We Reject H₀ if Z < -1.960 or Z > 1.960

We Reject H₀ if p ≤ α

Compute the test statistic:

The test statistic may be calculated using,

$ Z =  \frac{\hat{p} - p}{ \sqrt{\frac{p(1-p)}{n} }}  $

We are not given enough information to find out the test statistic.

Conclusion:

We do not have enough information to accept or refuse the publisher's claim.

4 0
2 years ago
An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each
tensa zangetsu [6.8K]
Given:
volume of the block = 576 cubic inches
Square pyramid = base area : 3 square inches ; height = 4 inches

Volume of square pyramid = a² * h/3
V = 3 square inches * 4inches/3
V = 4 cubic inches

volume of block / volume of square pyramid
576 cubic inches / 4 cubic inches = 144 

She can make 144 square pyramids.
3 0
2 years ago
Read 2 more answers
Thomas is planning a trip to India. He is currently deciding which cities he would like to visit during his stay. The table belo
Oksana_A [137]
Swap Thiruvananthapuram for Jaipur and drop Bengaluru and  Swap Mumbai for New Delhi, Thiruvananthapuram for Jaipur, and Bhubaneswar for Lucknow.this option is cheaper for thomas
4 0
2 years ago
Read 2 more answers
The Chang's neighbor owns a ready-mix company. The company receives an order for 12.5 cubic yards of concrete. This mixture of c
ella [17]
The quantities in the proportion you give add to 16 pounds, of which 2 pounds are cement. That is, cement constitutes 1/8 of the total weight.

For each yard of concrete, 4000 lb/8 = 500 lb of cement are used.

For 12.5 yards of concrete, 12.5 * 500 = 6,250 pounds of cement will be used.

_____
"yard" in this case is shorthand for "cubic yard".
3 0
2 years ago
Other questions:
  • Find and irrational number between 7.7 and 7.9
    10·1 answer
  • Carlene is saving her money to buy a $500 desk. She deposits $400 into an account with an annual interest rate of 6% compounded
    5·2 answers
  • A company dyes two sizes of rugs. A small rug requires 2 hours for dyeing and a medium-size rug requires 3 hours for dyeing. The
    15·1 answer
  • In the country of Apexico, 6% of the population was unemployed in february of 2008. if there were 168.000.000 people willing and
    9·2 answers
  • If BE−→− bisects ∠ABD and m∠EBD = 32°, find m∠ABD.
    13·2 answers
  • Consider the following discrete probability distribution. x 15 22 34 40 P(X = x) 0.14 0.40 0.26 0.20 a. Is this a valid probabil
    11·1 answer
  • How many favorable outcomes are expressed in the fraction 12/5
    10·1 answer
  • Francisco finds a Web site that defines a regular hexagon as a "six-sided polygon with six congruent angles and six congruent si
    10·1 answer
  • Carl ordered a refrigerator that weighs 192 pounds. It was shipped to him inside a box and surrounded by packaging material. The
    10·1 answer
  • Mikayla has $32 in her piggy bank. Her sister, Jessica, has $21. Mikayla earns $10 a week by doing chores for her grandparents,
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!