(a) Rita is delivering a pizza to Mark's house. She drives at a constant speed toward the house until she hits a traffic jam and has to stop for several minutes
After, she starts up again and drives at a faster speed than before
(b) chai is driving on the freeway at constant speed. He then speeds up to pass a truck. After passing the truck, he exits the freeway and slows down.

Answer: Choice A

Step-by-step explanation:

She can only buy 3 pizzas. 14 times 3 is 42. 42 plus 7.50 is 49.50. Another 14 dollars would be over. So 24 SLICES she can afford.

Here, we are required to identify the inequality that describes Jacque's pizza purchase scenario and also the largest number of slices that Jacque can afford

Choice 1 which is ;

Choice 1 which is ;7.50 + 14 P < 60Jacque can afford to buy 30slices of pizza

First,

The inequality which describes the scenario is :

Choice 1 which is ;

And to determine the largest number of slices that Jacque can afford, we have to solve for P first.

However, the question requires that we determine how many slices she can afford to buy,

Jacque can afford to buy 3.75 × 8 slices of pizza.

Jacque can afford to buy 30slices of pizza

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Answer:

12b^2+4ab−3ba−6

Step-by-step explanation:

12b2+4ab−3ba−6

The two middle terms are like terms, the order in which you multiply does not matter ab =ba

12 b^2 +4ab -3ab -6

12 b^2 +ab -6

The correct answer is....

If the degree and variables of two terms are same, then they are called like terms.

Here, 4ab and -3ab are like terms because both have same variables a and b with degree 1.

By combining like terms we get

In options B, C and D, there are no like terms, So only the expression  we can simplify by combining like terms.

Answer:

242,000 is the present value of the house.

Step-by-step explanation:

Answer:

242,000 represents the value of the house

Step-by-step explanation:

Hey there! I'm happy to help!

The IQR is how far apart the first and third quartiles are, which are the middle numbers of the first and second halves of a data set. Let's find some random numbers that are 17 apart. We will use 3 and 20.

Now, we have to create a data set where 3 is the middle number of the first half and 20 is the middle number of the second half. Let's have one with six numbers because that's a good amount I guess. Remember that the data has to be going from least to greatest.

In our first half we will have one number that is smaller than 3 and one bigger than three so that 3 is in the middle. Here's an example of what our first half should look like:

2,3,5

Now, for our second half, we need a number smaller than 20 and one greater than 20 so 20 is the the middle. Here's the second half I've made for you.

16,20,100

So, the data set I've created for you is 2,3,5,16,20,100. However, there are many other possibilities as you've seen.

My answers for your question 1 and 2 are in the explanation I've done, and here's the math that shows that the interquartile range is 17.

You split the data in half.

2,3,5,         16,20,100

Q1 is the middle number of the first, which is 3. Q3 is the middle of the second, which is 20.

You find how far apart they are by subtracting 3 from 20.

20-3=17.

The IQR is 17.

Have a wonderful day! :D

Answer:

exponential decay

Step-by-step explanation:

The function  f(x)=0.85ˣ is a exponential decay.

A relation is a function if it has only One y-value for each x-value.

The given function is f(x)=0.85ˣ.

The function f of x is equal to zero point eight five to the power of x.

Exponential decay refers to a process in which a quantity decreases over time, with the rate of decrease becoming proportionally smaller as the quantity gets smaller.

The function  f(x)=0.85ˣ is a exponential decay.

Hence, the function  f(x)=0.85ˣ is a exponential decay.

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Answer:

80 lamps

Step-by-step explanation:

number of lamp bases*no. of lampshades*no. of lightbulbs= total number of lamp choices

5*(3*3)*2

=5*9*2

=40*2

=80

hope it helps :)

Answer:

Misleading?

Step-by-step explanation:

Graphs can have mislabeled axes or different values on the axes, making them hard to understand.

I think this is the right answer, but the question was way too vague. Next time, put some options or at least explain the problem better.

Answer:  ln5 - ln2 ≈ 0.919

Step-by-step explanation:

[tex]\int\limits^2_1 {\dfrac{2x}{x^2+1}} \, dx\qquad \qquad =\int\limits^2_1 {(x^2+1)^{-1}} \, 2xdx[/tex]

Let u = x² + 1    →    du = 2x

[tex]\text{Then we have:}\quad \int\limits^2_1 {u^{-1}} \, du \qquad =ln|u|\bigg|^2_1[/tex]

Substitute u = x² + 1

[tex]ln|x^2+1|\bigg|^2_1\quad =ln|2^2+1|-ln|1^2+1|\quad = ln|5|-ln|2|[/tex]

Answer:

Draw a straight line through these two points (0, 0) and (1, 3).

Step-by-step explanation:

"Proportional relationship" implies line or curve that goes through the origin; there is no "y-intercept" in this case.  

Plot a dot at (0, 0).  Next, move your pencil point 1 unit to the right (you'll end up at (1, 0), and then move it from there up to (1, 3).  Draw a straight line through these two points (0, 0) and (1, 3).

Answer:

The unit rate of change of d with respect to t is 4/3.

The graph should be: (0,0) and (3/4).

Step-by-step explanation:

I got it wrong on khan academy :/

so i went over here and answer it

Answer:

250.72

Step-by-step explanation:

the first step to do is you imagine the semi-circle is a whole circle. Now since its a circle you can calculate the circumference by using the equation 3.14d. The diameter of the circle is 150.72 Now we can easily tell that their are two sides having a length of 50 meters. 50 +50 = 100. Now if we cut the circle and put the semi-circle back to its place, then it will have the same shape of the track. And finally when you add 150.72 + 100= you get 250.72.

Answer:

175.4

Step-by-step explanation:

50+50=100

Find circle perimeter with 12, because you have to use the radius not the diameter. Perimeter of circle= 75.4

100+75.4= 175.4

[tex]\frac{1}{15}[/tex] or 6.67%

In practice, the relative frequency of an event happening is the same as the probability that that event happened. In other words, the terms "relative frequency" and "probability" can be used interchangeably.

Now, the probability P(A) of an event A happening is given by;

P(A) = [tex]\frac{number-of-outcomes-in-the-event-A}{number-of-outcomes-in-the-sample-space}[/tex]

From the question;

The event A is the situation of local residents having a post office box. Therefore the;

number-of-outcomes-in-the-event-A = 8   [since only 8 of the local residents have a post office box]

number-of-outcomes-in-the-sample-space = 120 [since there are altogether 120 local residents]

Therefore,

P(A) = [tex]\frac{8}{120}[/tex]

P(A) = [tex]\frac{1}{15}[/tex]

The relative frequency that a local resident does not have a post office box for receiving a mail is therefore, [tex]\frac{1}{15}[/tex]

PS: Sometimes it is much more convenient to express relative frequencies as percentage. Therefore, the result above expressed in percentage gives:

[tex]\frac{1}{15} * 100%[/tex]% = 6.67%

Answer:

Option A)     [tex]\angle F\\[/tex] congruent with  [tex]\angle Q[/tex]

Step-by-step explanation:

There is only information about two sides in each triangle, so there is still the need of a third piece of info which can come from an angle like [tex]\angle F\\[/tex] congruent with  [tex]\angle Q[/tex], which are angles opposite to one of the given sides on each triangle.

Answer:

3

Step-by-step explanation:

Plug in 2 for x:

5-2 - 3

Answer:

3

Step-by-step explanation:

f(x)= 5 - x

f(2) = 5 - 2 = 3

Answer:

6 units squared

Step-by-step explanation:

To solve this problem you can solve for the entire area of the square and subtract the area of the unfilled areas for the area of the shaded region..

Area of entire square is 4*4=16

Now for the sections that are unfilled:

4*3/2= 6

1*1/2= 0.5

2*1 = 2

1*1 = 0.5

2*1/2 = 1

Total area of Unfilled region = 6 + 0.5 + 2 + 0.5 +1 = 10

Area of filled region = 16 - 10 = 6 units squared

Hope this helped!

Answer:

y = 3/8x - 9 + 4/5

Step-by-step explanation:

assuming y = 3/4 (1/2x-12)+4/5

multiply 3/4 and (1/2x - 12)

y = 3/8x - 9 + 4/5

Answer:

Step-by-step explanation:

The LCD here is 120.  Multiplying both terms by 120 and then dividing the result by 120 yields

90(1/2x - 12) + 96           45x - 1080 + 96               45x - 984

-------------------------- = -------------------------------  =  ----------------------

         120                                 120                                 120

Answer:

A

Step-by-step explanation:

all sides of square is 90degrees

Since AC and BD is the same, when you join the lines together, it will definitely be a square

Answer:

Mean = 30.3

Median = 30

They scored 30 or more points on 11 games.

Step-by-step explanation:

Mean = all the numbers added together divided by 21

636/21 = 30.3

Median is the middle number (the 11th) = 30

Answer:

f(6) = 24

Step-by-step explanation:

Simply plug the value of 6 into the equation for x.

f(x) = x^2 - 2x

f(6) = (6)^2 - 2(6)

f(6) = 36 - 12

f(6) = 24

Answer: 24

Step-by-step explanation: you can say that 6=x Wichita in this case we would substitute x for 6

6²-2*6=36-12=24

Hope this helps!

Given the value [tex]12b^{5}[/tex] ; the coefficient of b is 12.

The Coefficient is a numerical value or constant which is used to multiply a variable; from the value given above ;

The variable is b ;

The Coefficient = 12 ; the coefficient is the value which is used fo multiply the variable b.

The power is the value to which the variable is raised.

Hence,

The Coefficient is 12 ; it is the value which multiplies the variable 'b' and the power is 5

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Answer:

4 points

Step-by-step explanation:

.

Let  L  be the circumference of the circle.

Then the faster cyclist will catch the slower cyclist first time  when the faster cyclist will cover

the distance which exactly 1 circumference longer than the distance covered by the slower cyclist

9t-5t=l

It gives the time to get first meeting point

t=l/9-5=l/4 hours

and the distance which the faster cyclist covered during this time is

d1=9t=9l/4 miles

The distance which the slower cyclist covered during this time is

d2=5t=5l/4

The meeting point is geometrically the same point on the circle for both cyclists, and its angle measure on the circle is

 (1/l)(5l/(4)-l)=1/4

of the full angle of 2pi radians, or 90 degrees.

So, they started simultaneously, and their first meeting point is at the 90 degrees angle.

Next, they started from this point  SIMULTANEOUSLY  and . . . and everything was repeated.

Hence, their next meeting point is the point on the circle with the angle of 180 degrees.

So, there are 4 remarkable points on the circle: first point is the starting point, and 3 other points

(the points where whey meet/catch each other) are the images of the starting point, rotated 90°, 180°, and 270° along the circle.

There are 4 remarkable points on the circle which is the first point is the starting point and 3 other points.

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

Let  L represent the circumference of the circle.

Then the faster cyclist will catch the slower cyclist the first time when the faster cyclist will cover the distance which is exactly 1 circumference longer than the distance covered by the slower cyclist

9t - 5t = L

It gives them time to get the first meeting point

t = L/9 - 5

t = L/4 hours

The distance which the faster cyclist covered during this time;

d1 = 9t = 9L/4 miles

The distance that the slower cyclist covered during this time is

d2 = 5t = 5L/4

The meeting point is geometrically the same point on the circle for both cyclists, and its angle measured on the circle;

(1/l)(5l/(4)-l)=1/4

Therefore, their next meeting point is the point on the circle with an angle of 180 degrees.

So, there are 4 remarkable points on the circle which is the first point is the starting point and 3 other points.

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Answer:

[tex]\boxed{3.464}[/tex]

Step-by-step explanation:

Calculate the square root.

[tex]\sqrt{12} = 3.46410161514[/tex]

Approximate the value.

[tex]\sqrt{12} \approx 3.464[/tex]

Answer:

d

Step-by-step explanation:

to find the square root of a # see how many times a # can go into the root, find the # with the greatest value

Answer:

3x^3/x = 3x^(3-1) = 3x^2

6x*y = 6xy

x^2y *y =  x^2y^(1+1) = x^2y^2

4y*y = 4y^2

Step-by-step explanation:

This can be solved using law of Indices.

The expression 3x^3 should be 3x^2.

Here power of x is three while in output power of x is two hence we need to eliminate power of x by one for that we divide 3x^3 by x

Rule: x^a/x^b = x^(a-b)

3x^3/x = 3x^(3-1) = 3x^2 (answer)

_________________________________

The expression 6x should be 6xy.

here term y is missing hence we multiply 6x with y

rule: a*b = ab

6x*y = 6xy  (answer)

_________________________________________________

The expression x^2y should be x^2y^2

Here we need power of y as 2, to do that we multiply  x^2y by y.

Rule

x^2*x^b  = x(a+b)

x^2y *y =  x^2y^(1+1) = x^2y^2  (answer)

_____________________________________________

The expression 4y should be 4y^2\

Here we need power of y as 2, to do that we multiply 4y by y.

Rule

x^2*x^b  = x(a+b)

4y*y = 4y^2   (answer)

Answer:

b:  the expression 6x should be 6xy

Step-by-step explanation:

i just did on edgen 2020

Sine is negative in quadrants 3 and 4, when y < 0.

Tangent is negative for quadrants 2 and 4, when y/x < 0. Basically when x and y differ in sign (one is positive, the other is negative)

The common quadrant mentioned is quadrant 4.

Quadrant 4 has angles that are between 270 degrees and 360 degrees

So we have [tex]270^{\circ} < \theta < 360^{\circ}[/tex]

Answer:

    3 > x

Step-by-step explanation:

–2(5 – 4x) < 6x – 4

Step 1: –10 + 8x < 6x – 4

Step 2: –10 < –2x – 4

Step 3: –6 < –2x

Step 4: divide each side by by -2, remembering to flip the inequality

   -6/-2 > -2/-2

    3 > x

Answer:

x < 3

Step-by-step explanation:

−2(5−4x)<6x−4

Use the distributive property to multiply −2 by 5−4x.

−10+8x<6x−4

Subtract 6x from both sides.

−10+8x−6x<−4

Combine 8x and −6x to get 2x.

−10+2x<−4

Add 10 to both sides.

2x<−4+10

Add −4 and 10 to get 6.

2x<6

Divide both sides by 2. Since 2 is >0, the inequality direction remains the same.

x= 6/2

Divide 6 by 2 to get 3.

x= 3

X< 3

Mark me as brainliest

Answer:

7. 1/3    8. 3/8

Step-by-step explanation:

7. 5 - 1/6 chance           1 out of 6 possibilities

6 - 1/6 chance           1 out of 6 possibilities

1/6+1/6 = 1/3

8. 3 a's out of 8 letters. 3/8

Answer:

7. 2/3

8. 3/8

Step-by-step explanation:

5 - 1/6

1/6

6 - 1/6

1/6

1/6+1/6 = 2/6 = 1/3

3 out of 8

3/8

Answer:gjcnlfjdk

Step-by-step explanation:

Answer:

(3,0)

Step-by-step explanation:

The graph is a line so it will have an equation with this form:

y = mx+b

m is the slope and b is the y-intercept.

Let's calculate m:

● m = (-32-(-64))/(-9-(-21)) = 8/3

Now replace m with its value and x,y with coordinates of a point.

● -32 = (8/3)*(-9) +b

● -32 = -24 +b

● -32+24 = b

● -8 =b

Solve y = 0

●(8/3)*x+b = 0

● (8/3) *x = 8

● x = 3

The coordinates of the x-intercept are (3,0)

Answer:

point a is the maximum

Step-by-step explanation:I took the test

Explanation:

The area of a semicircle is given by ...

  A = πr^2/2

where r is the radius. Here, we're given diameters, so in terms of diameter, the area of a semicircle is ...

  A = π(d/2)^2/2 = (π/8)d^2

__

The area of the semicircle with diameter AC is ...

 white area = (π/8)AC^2

The area of the semicircle with diameter BC is ...

  left semicircle area = (π/8)BC^2

And the area of the semicircle with diameter AB is ...

  right semicircle area = (π/8)AB^2

__

We can use the relationship between the areas to find the shaded area:

  triangle area + left semicircle area + right semicircle area =

     white area + shaded area

Then the shaded area is ...

  shaded area = triangle area + left semicircle area + ...

     right semicircle area - white  area

__

Filling in the values for area from above, we have ...

  shaded area = triangle area+ (π/8)BC^2 +(π/8)AB^2 -(π/8)AC^2

  shaded area = triangle area + (π/8)(BC^2 +AB^2 -AC^2)

From the Pythagorean theorem, we know that ...

  AC^2 = BC^2 +AB^2

Substituting this into the above equation gives ...

  shaded area = triangle area + (π/8)((Bc^2 +AB^2 -(BC^2 +AB^2))

  shaded area = triangle area + 0 . . . . simplify

  shaded area = triangle area