a) In the first event, the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds. Use the information to predict the team’s best time for the race

Answer:

3

+

3

−

6

Step-by-step explanation:

Answer:

The minimum distance to the moon is of 360,000 km and the maximum distance is of 405,000 km

Step-by-step explanation:

The maximum distance is found adding the variation.

The minimum distance is found subtracting the variation.

We have that:

Distance: 382,500 km

Variation: 22,500 km

So

Maximum distance: 382500 + 22500 = 405,000 km

Minimum distance: 382500 - 22500 = 360,000 km

The minimum distance to the moon is of 360,000 km and the maximum distance is of 405,000 km

Answer: The boat 1 moves with a speed of 40mi/h, and boat 2 moves with a speed of 20mi/h.

Step-by-step explanation:

First, we know the relation:

Distance = Speed*Time.

We can define the average rate of the boats as the average speed of the boats.

Now, we know that two boats travel in the same direction, let's define:

S₁ = speed of boat 1.

S₂ = speed of boat 2.

We know that one travels twice as fast as the other, then we can write:

S₁ = 2*S₂

We also know that after 3 hours of travel, they are 60mi apart, then if the slower one travelled a distance D in 3 hours, then:

S₂*3h = D

And the faster one will travel D + 60mi

S₁*3h = (D + 60mi)

Then we have the equations:

S₂*3h = D

S₁*3h = (D + 60mi)

We can replace S₁ by 2*S₂ to get:

S₂*3h = D

(2*S₂)*3h = (D + 60mi)

Now we have isolated D in the above equation, we can just replace it in the second equation to get:

(2*S₂)*3h = (S₂*3h + 60mi)

Now we can solve this for S₂

S₂*6h = S₂*3h + 60mi

S₂*6h - S₂*3h = 60mi

S₂*3h = 60mi

S₂ = 60mi/3h = 20mi/h

The speed of boat 2 is 20mi/h

And we knew that:

S₁ = 2*S₂

then:

S₁ = 2*(20mi/h) = 40mi/h

Answer:

$6.75

Step-by-step explanation:

Interest = [tex]\frac{1.5}{100}[/tex] × 2 × $225

             = $6.75

Answer:

1,254 sqaure ft

Step-by-step explanation:

Use the radius of the circle, 202=10, to find the area of the circle: A=πr2=π(10)2=π⋅100≈3.14⋅100=314square meters. The area of the triangle is: A=12b⋅h=12⋅56⋅56=12⋅3,136=1,568 The area of the shaded region equals the area of the triangle minus the area of the circle. This is approximately 1,568-314=1,254 square meters.

The area of the shaded region is 1,254 square ft, consisting of a right triangle with a circle cut out of it.

The area of the circle is equal to the product of the square of the radius of the circle and pi.

A = πr²

where 'r' is the radius of the circle

Use the radius of the circle, 20/2 =10, to find the area of the circle:

A = πr²= π(10)² = π⋅100 ≈ 3.14⋅100 = 314 square meters.

The area of the triangle is:

A=12b⋅h = 12⋅56⋅56 = 12⋅3,136 = 1,568

The area of the shaded region equals the area of the triangle and subtracts the area of the circle.

This is approximately 1,568 - 314 = 1,254 square meters.

Hence, the correct answer would be an option (B).

Learn more about the area of the circle here:

brainly.com/question/19794723

#SPJ2

Answer:

4(x - 3)(x^2 + 3x + 9)

Step-by-step explanation:

4x^3 - 108 = 4(x^3 - 27), or

                    4(x^3 - 3^3), or

                     4(x - 3)(x^2 + 3x + 9)    

We could choose to let 4 represent the height of the prism, x - 3 the width and x^2 + 3x + 9 the length.

Answer:

The solution to the system of equations given is:

Step-by-step explanation:

First, we must see our two equations given:

We can use the reduction method, with this, we must eliminate a variable, in this case, de x variable, this can do multiply the equation 2 by (-2) and add the two equations:

     3. -4x+12y = -12

Now, we operate the equations 1 and 3:

     4. 13y = 39

We solve the equation 4 and obtain the value for "y":

With the value of "y," we can replace this value in equation 1 or 2 to obtain the value of "x," in this case, we're gonna use the equation 1:

In this form, we know the solution to the system of two equations is: x = 12 and y = 3.

Answer:

Solving the expression: [tex]2\frac{3}{5}\div \frac{2}{3}[/tex] we get [tex]\mathbf{3\frac{9}{10}}[/tex]

Option A is correct.

Step-by-step explanation:

We need to solve the expression: [tex]2\frac{3}{5}\div \frac{2}{3}[/tex]

We need to divide both the terms.

Solving:

[tex]2\frac{3}{5}\div \frac{2}{3}[/tex]

First we will convert the mixed fraction into improper one

[tex]\frac{13}{5}\div \frac{2}{3}[/tex]

Now, we will convert division sign into multiplication, the term 2/3 is reciprocated

[tex]\frac{13}{5}\times \frac{3}{2}[/tex]

Now, multiply numerator with numerator and denominator with denominator

[tex]\frac{39}{10}[/tex]

Now, we will convert into mixed fraction

[tex]3\frac{9}{10}[/tex]

So, Solving the expression: [tex]2\frac{3}{5}\div \frac{2}{3}[/tex] we get [tex]\mathbf{3\frac{9}{10}}[/tex]

Option A is correct.

Answer:

14

Step-by-step explanation:

Answer:

y = 4x -3

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b where m is the slope and b is the y ntercept

y = 4x -3

Answer:

(A) Mean

(B)  Mean

(C) Mode

Hope this helps!

And hit Brainlest if ya want! ;))

Answer:

I'm pretty sure it's reflection

Step-by-step explanation:

The triangle to the right is basically a reflection of the first triangle

Answer:

y=291

Step-by-step explanation:

I did the math got 291.

Answer:

-9x + 5y =-1

x-intercept:   ( 1 9 , 0 )

y-intercept:  ( 0 , − 1 5 )

-3x + y = 4

x-intercept:  ( − 4 3 , 0 )

y-intercept:  ( 0 , 4 )

Answer:

We conclude that it is not a function because there are two different y-values for a single x-value.

Hence, option D is true.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From the graph, we can determine the table such as:

x            y

-2           -5

-1            3  

1             -2  

3            0  

4            4

4            -2

It is clear that the values of x = 4, is repeated twice.

In other words, the input value x = 4 is duplicated.

We know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, we conclude that it is not a function because there are two different y-values for a single x-value.

Hence, option D is true.

Answer:

Do (8, -9) times 5 for both numbers

Step-by-step explanation:

Answer:

The students read 35 pages in the class to start the book.

Step-by-step explanation:

Given: A Language Arts teacher, Mr. Lopez has his students read a certain number of pages out loud in class to start a book, and then a set number of pages for homework each night to complete the book.

The graph displays the total number of pages read each day.

The point (0,35) represents the y-intercept of the function.

Since y axis representing the number of pages read each day.

It implies (0,35) represents  the students read 35 pages in the class to start the book.

Answer:

The students read 35 pages in the class to start the book.

Step-by-step explanation:

on edge

Answer: continuous random variable.

Step-by-step explanation:

A discrete random variable is defined as a random variable which consists of countable number. Examples include numbers of shoes, number of sales etc.

A continuous random variable is a random variable whereby the data can take several values. It is a random variable that takes time into consideration.

Therefore, the amount of time six randomly selected volleyball players play during a game will be a continuous random variable since time so involved.

Step-by-step explanation:

[tex]1 \: hour \: = 60 \: min \\ \\ \frac{6}{60} = \frac{1}{10} \\ [/tex]

Answer:1/10

Step-by-step explanation:

Answer: A. Simple Random Sampling

Step-by-step explanation:

A simple random sampling technique could be explained as being the most basic and approach to choosing an unbiased Number of samples from a given population. This technique simply involves choosing a specified Number of samples at random (each member of the larger sample or population has equal Chance of being selected) from a larger sample or population. It does not require any sort of partitioning during selection. As in the scenario above, the deck of cards represents the large lr population from which 20 cards are to be selected, since the card has been shuffled then each card has equal Chance of being selected.

Answer:

Each notebook costs $3.96 each.

3168 divided by 8 = 396

move the decimal two places left.

Step-by-step explanation:

           May I have brainiest I'm trying to level up!

                            </3 PureBeauty

Answer:

Each notebook costs $3.96

Step-by-step explanation:

We assume each notebook costs the same amount, the total cost is $31.68, and that is for 8 notebooks. So, we divide 31.68 by 8 and get our answer of $3.96 per notebook.

I hope this helps:)

Answer:

Rotation

Step-by-step explanation:

Answer:

That is just rotation.

Step-by-step explanation:

It is rotation because if you were to spin it to the right on a 57 degree it will be that angle.

It also not the others because if you were to put reflection that would it would the opposite.

Answer:

Equation of line u in slope-intercept form is: [tex]\mathbf{y=\frac{1}{2}x+9 }[/tex]

Step-by-step explanation:

Equation of line t : y = -2x + 9.

We need to find equation of line u, which is perpendicular to line t and passes through point (-10,4)

The equation must be in slope-intercept form.

The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept

Finding Slope:

If two lines are perpendicular, their slopes are opposite i.e [tex]m=-\frac{1}{m}[/tex]

Slope of line t: y=-2x+9 we get m =-2 (Comparing with general form y=mx+b, we get m =-2)

Slope of line u: [tex]\frac{1}{2}[/tex]

So, we get Slope of line u: m= [tex]\frac{1}{2}[/tex]

Finding y-intercept:

Using slope m= [tex]\frac{1}{2}[/tex] and point(-10,4) we can find y-intercept

[tex]y=mx+b\\4=\frac{1}{2}(-10)+b\\4=-5+b\\b=4+5\\b=9[/tex]

Equation of line u:

So, equation of line u, having slope m= [tex]\frac{1}{2}[/tex] and y-intercept b=9, we get:

[tex]y=mx+b\\y=\frac{1}{2}x+9[/tex]

So, Equation of line u in slope-intercept form is: [tex]\mathbf{y=\frac{1}{2}x+9 }[/tex]

Answer:

She has 2,660 combinations

Step-by-step explanation:

Here, we want to calculate the number of different combinations of 3 movies that can be rented

The condition is at least two horror movies

What this means is that she can select 2 or 3 horror movies

if two horror movies, then 1 foreign film

The combination is as follows;

20 C 2 * 8 C 1

= 190 * 8 = 1,520

If she is selecting 3 horror movies, then no foreign film will be selected

Number of ways this can be done is;

20 C 3 = 1,140

So the

number of different combinations would be;

1,140 + 1,520 = 2.660

Answer:

Graph ii and iii

Step-by-step explanation:

In graph ii and iii, every input has one and only output. Another way to check is by doing the vertical line test.

Answer:

11x+21

Step-by-step explanation:

blue square= x squared

green square=3x

pink square=7x

orange square=21

=

11x+21

Answer:

39 pounds of type A coffee were used.

Step-by-step explanation:

Given: Cost of type A coffee is $4.15 per pound and cost of type B coffee is $5.25 per pound. Also, blend used four times as many pounds of type B coffee as type A.

To find: How many pounds of type A coffee were used.

Let [tex]x[/tex] be the number of pounds of type A coffee and [tex]y[/tex] be the number of pounds of type B coffee.

Then, according to question,

[tex]4.15x+5.25y=980.85[/tex] and [tex]y=4x[/tex]

Substituting [tex]y=4x[/tex] in [tex]4.15x+5.25y=980.85[/tex], we get

[tex]4.15x+5.25(4x)=980.85[/tex]

⇒[tex]4.15x+21x=980.85[/tex]

⇒[tex]25.15x=980.85[/tex]

⇒[tex]x=\frac{980.85}{25.15}[/tex]

⇒[tex]x=39[/tex]

Therefore, 39 pounds of type A coffee were used.