I need help with this problem​

The motion of the skier from point A to point B, then to point C, and then point D, indicates that the distances and displacement traveled are;

a) The distance from A to C is 280 meters

b) The distance from point A to point D is 360 meters

c) The displacement of the skier from point B to point C is 120 meters.

Displacement is the change in the position or location of the object.

The possible diagram of the skier in the question can be presented as follows;

A \({}\)                            C                                                   D                          B

t = 0 min      \({}\)         t = 2 min                                       t = 3 min            \({}\)t = 1 min

ʂ         \({}\)                     ʂ                                                     ʂ                           ʂ

-|-------|------|------|------|-----|------|-----|------|------|-------|-------|--------|-------|-------|-----

0           \({}\)   20           40         60          80            100    120    140           160

The above diagram indicates that we get;

a) The distance from point A (t = 0 min) to point C(t = 2 min) is can be found as follows;

The skier moves from point A to point B then from point B to point C, therefore,

The distance from point A to point B = 160 m - 0 m = 160 m

The distance from point B to point C = 160 m - 40 m = 120 m

The distance from point A to point C is therefore;

b) The distance from point A to point D = The distance from point A to point C + The distance from point C to point D as follows;

AD = AC + CD

CD = 120 m - 40 m = 80 m

Therefore;

AD = 280 m + 80 m = 360 m

c) The displacement of the skier from point B (t = 1 min) to C (t = 2 min) can be found as follows;

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If the bars of a histogram roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.

Histogram a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.

Given is relative frequency histogram.

Therefore, if the bars of a histogram roughly follow a symmetrical bell or hill shape, then the distribution is approximately normally distributed.

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Answer:

2.4

Step-by-step explanation:

If you replace m with 7, the expression is now 7-4.6.

7-4.6=2.4

The value of the expression is 2.4.

-hope it helps

Answer:

9: 89°

Step-by-step explanation:

Inside of a triangle is 180, so 180-39-52=89

I'm sorry I can't answer 10 for you

Answer:

8 1/2

Step-by-step explanation:

Answer:

76˚

Step-by-step explanation:

All angles of a triangle total up to 180˚ so we can make this equation:

x - 14 + 1/2x + 7 + 2x - 128 = 180

3.5x - 135 = 180

3.5x = 315

x = 90

Angle A is x - 14

90 - 14

76

There are 260 students who attend Juniper Middle School. The average daily unexcused absences increased by 25% from September to October.

a. Let's assume that the total number of students at Juniper Middle School is "x."

Given that 55% of the students are in the 8th grade, we can write:

0.55x = number of 8th grade students

And since the remaining 117 students are in 7th grade, we can write:

x - 0.55x = 117

0.45x = 117

x = 260

Therefore, there are 260 students who attend Juniper Middle School.

b. To find the percent change from September to October, we can use the formula:

percent change = ((new value - old value) / old value) x 100%

Substituting the given values, we get:

percent change = ((6 - 4.8) / 4.8) x 100%

percent change = (1.2 / 4.8) x 100%

percent change = 25%

Therefore, the average daily unexcused absences increased by 25% from September to October.

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Answer:

( -∞ , 33 )

Step-by-step explanation:

To solve the inequation a-32 < 1, we need to sum on both sides 32, as:

a - 32 + 32 < 1 + 32

a < 33

It means that the solutions are all the number that are smaller than 33 or in interval notation it would be:

( -∞ , 33 )

Where 33 is not included in the interval.

Answer:

Pt A: D. Pt B: D

Step-by-step explanation:

You can multiply 5x2 which easily equals 10. 6x6 equals 36 and you cannot multiply anything other than one and itself for 7, 13, 23, or 67. for part B, you can multiply 4x 11 to equal 44 and you can multiply 9x5 to equal 45 so it would be composite

44 and 45 are composite numbers.

A prime number has only two factors, itself and one.

A composite number has at least three factors, and sometimes a lot more.

1.  Prime:7, 13, 23, 67

Composite:10, 36, 55

As, 7, 13, 23 and 67 have only two factors : one and number itself

and 10, 36, 55 have more than 2 factors like 2.

2. 44 and 45 both have more than 2 factors.

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Answer:

Step-by-step explanation:

How Far Can A Snail Travel In One Hour

If a snail can travel over half an inch per minute, that means in one hour a snail can travel up to 40 inches. If you want to think about how far this is in feet, it means that snails move up to 3.5 feet per hour.

Consider the fact that the average human being can walk about a mile, or 5280 feet, in one hour.

This means that snails can take up to 1,500 days, or over 4 years, to travel just one mile.

Answer:

Linear

Step-by-step explanation:

She is spending the same amount per day, so it is linear

Answer:

A. down

Step-by-step explanation:

The parent graph is

f(x)=x

If this graph is transformed to obtain

g(x)=f(x)−4

The subtracttion means the graph will shift downward vertically

The graph of g(x) is obtained by shifting f(x) down by 4 unit.

Therefore the direction is down.

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5 pounds - 1.89

3 pounds - 1.99

1 pound - 2.05

In this case, the 5 pounds of chicken is the cheapest by exactly one dime.

The shortest distance between point P and Q is 9.4.

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Given the data in the question;

Point P (-4,-2)

x₁ = -4

y₁ = -2

Point Q ( 4,3)

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √( ( 4 - (-4) )² + ( 3 - (-2) )² )

D = √( ( 4 + 4 )² + ( 3 + 2 )² )

D = √( 8² + 5² )

D = √( 64 + 25 )

D = √89

D = 9.4

Therefore, the distance is 9.4.

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Answer:

B.) 21.2 units

Step-by-step explanation:

Radius = Diameter divided by 2

So

Diameter = radius multiple by 2

The number of caffeinated teas that the tea shop serve is 5.

Number of teas served = 25 teas.

Percentage that was caffeinated.= 20%

Therefore the number that was caffeinated will be the percentage multiplied by the number of teas. This will be:

= 20% × 25

= 0.2 × 25

= 5

Therefore, 5 are caffeinated

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The area of a circle is given by the following equation:

In which r is the radius.

In this question, we have a radius of 42 inches.

Using pi = 3.14, the area is:

Since the radius in inches, the area is measured in squared inches.

The area is 5539 squared inches.

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer:

72%

Step-by-step explanation:

68% + x/2 = 70%

68 + x = 140

x = 72

Answer:

to find midpoint =(x1+x2/2,y1+y2/2)

(3,10) ,(7,20)

x1 ,y1. x2,y2

=P(x,y)=(3+7/2,10+20/2)=(5,15)

midpoint of a segment =(5,15)

Answer:

After your payment

A = 71,000  - 785.26 = 70,214.74

You also have an interest payment of

71000 * .12 / 12 = 710

The total owed is

70,214.74 + 710 = 70,924.74

9514 1404 393

Answer:

  d)  70,924.74

Step-by-step explanation:

The new principal after a payment is the difference between the old principal and the amount of the payment applied to principal. That applied amount is the difference between the payment amount and the interest due.

The interest due each month is computed at a rate equal to the annual rate divided by 12. For the first month, the interest due is ...

  $71,000 × 12%/12 = 0.01 × $71,000 = $710

Then the amount of the payment applied to principal is ...

  $785.26 -710.00 = $75.26

And the new principal after the first payment is ...

  $71,000 -75.26 = $70,924.74

Answer:

-28

Step-by-step explanation:

Put x=-3 into the function.

5+11(-3)=5+-33.

5-33=-28

Hope I helped!

The quotient of 7 subtracted from a number c and 4 which is 2 , 4 +3 = 7  and c=3. The quotient is the outcome of splitting two numbers.

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The work required to pump the water out of the spout is approximately 64,307,077 ft-lb

To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.

First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.

Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:

V = (1/3)π(12)(9 + 36 + 18) = 270π ft³

Now, we can calculate the weight of the water using the density of water:

Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb

Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):

Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²

Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:

Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft

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Answer:

4

Step-by-step explanation:

4•4•4 = 64

Answer:

4

Step-by-step explanation:

cubic root of 64 is 4, since 4^3 = 64

Yes, both the events representing different discounts are mutually exclusive events and Option A. P(F∩S)=0 is the correct answer.

As given in the question,

Total number of customers asked for one of two discounts = 50

Number of customers chooses first discount =28

Number of customers chooses second discount = 22

'F' Represents the persons who chooses first discount

'S' Represents the persons who chooses second discount

Choice of first discount is of 20%

Choice of second discount is of 10%

Both represents different situations and are not depend on each other.

⇒F and S are mutually exclusive events.

⇒P(F∩S) = 0

Therefore, the both the events F and S are mutually exclusive events and Option A. P(F∩S) = 0 is the correct answer.

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Answer:

A=14cm²

Step-by-step explanation:

A=hbb

2=7·4

2=14cm²

Answer:

Area of a Triangle = 1/2base x height

= 1/2 x 4 x 7

=14cm²