A football is kicked at ground level with an initial velocity of 64 feet per second

Find the height after 3 second and use one of the three forms and say which one would be the best to use and why

y= -16t^2+64t
y= -16(t-2)^2 + 64
y= -16t(t-4)

Answer:

x = - 3, x = 2

Step-by-step explanation:

Given

x² + x - 6 = 0 ← in standard form

To factorise the quadratic

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)

The factors are + 3 and - 2, since

3 × - 2 = - 6 and 3 - 2 = + 1, hence

(x + 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

Answer:

The cube root of 512 is 8

Step-by-step explanation:

The cube root of a number is expressed in radical form as;

[tex]\sqrt[3]{x}[/tex]

Using exponents, the above expression is equivalent to;

[tex]x^{\frac{1}{3}}[/tex]

512 can be expressed as;

2*2*2*2*2*2*2*2*2

This is equivalent to;

[tex]2^{9}[/tex]

Therefore;

[tex]512^{\frac{1}{3} }=(2^{9})^{\frac{1}{3} }=2^{3}=8[/tex]

The cube root of 512 is thus 8

Answer:

8

Step-by-step explanation:

8 into 8 into 8 is 512. b. NN n. NN

Answer:

The correlation coefficient is 0 which implies no association between the number of apples eaten per week and the times sick in a year.

Step-by-step explanation:

The correlation coefficient between paired data gives information on the strength and the direction of the relationship between the paired data sets. The coefficient of correlation can imply strong or weak association as well as positive or negative association between data sets.

In the data given, the number of apples eaten per week can be used to explain the number of times an individual falls ill per year. This implies that the number of apples eaten per week is our explanatory or independent variable while times sick in a year is our response or dependent variable.

We can use Ms.Excel to compute the correlation coefficient between these two variables;

The first step is to enter the data in two adjacent columns in an excel workbook. We then type;

=CORREL

In an empty cell and enter the data arrays. This is an in-built function that computes the correlation coefficient.

Ms. Excel returns a correlation coefficient of 0. The correlation coefficient of 0 implies no association between the number of apples eaten per week and the times sick in a year.

Answer:

Step-by-step explanation:

-3y-12= -4

     +12     +12

-----------------------

-3y= 8

-----   ------

-3        -3

y= -2 2/3 : B

Answer:

[tex]f(x)=6.50x+48.00[/tex]

Step-by-step explanation:

Let

x ----> the number of adult tickets

f(x) ----> amount of money collected

To find the amount collected multiply the number of adult tickets by the cost and multiply the number of student tickets  by the cost, and then sum the two quantities

The linear equation that represent this problem is

[tex]f(x)=6.50x+4.00(12)[/tex]

[tex]f(x)=6.50x+48.00[/tex]

Answer:

Step-by-step explanation:

F(x)=6.50x+48.00

Answer:

.825 is the most items Team 4

29/40 is the least. Team 5

Step-by-step explanation:

.825= 82.5% which is the highest percentage collected.

29/40 = 72.5% which is the lowest percentage collected

As per the provided data, the fewest items collected by 5th team that is 72.5% and the largest item is collected by 4th team that is 82.5%

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the data provided in the question,

Team 1  = 75 %

Team 2 = 80%

Team 3 = 77.5%

Team 4 = 82.5 %

Team 5 = 72.5 %

Team 6 = 76.25 %

Team 7  = 78.75 %

Team 8 = 81.25 %

Compare all the values, the largest item collected by 4th team and the fewest done by 5th team.

To know more about percentage:

https://brainly.com/question/29306119

#SPJ2

Answer:

28.8

Step-by-step explanation:

Range = Highest number - Lowest number

Highest number: 42

Lowest number: 13.2

42 - 13.2 = 28.8

I hope this helps! :D

28.8 because the range is the biggest minus the smallest so 42 - 13.2

Answer:

45 mins

Step-by-step explanation:

The question is how much time should the painter spend on painting a doll for the costs to still be equal or lower to $24.50

We can make this equation, representing the raw materials + the painting job (at $18/h):

$11 + $18x = $24.50

18x = 13.50

x = 13.5 / 18 = 0.75

So, the painter should spend at most 3/4 of an hour (or 45 mins) painting a doll to keep the cost at or below $24.50 per doll.

7 bills *10 and 20 dollar bills

= $100

20*3=60

3 bills used 4 left over

10*4=40

no bills left

60+40=100

Mark Brainlyest please

Answer:

Step-by-step explanation:

In order to explain Isabella has 3 twenty dollar bills

3(20)

and 4 ten dollar bills

4(10)

3(20) + 4(10) = 100

60 + 40 = 100

on edge

sorry I know this won't help you, author  but it might help people who are using edge in 2022

Answer:

30 minutes

Step-by-step explanation:

Given:

Max can mow a lawn in 45 minutes

Max mows in 45mins= 1 lawn

Max mows in 1 min= 1//45 lawn

Jan takes twice as long to mow the same lawn

Jan mows in 2(45mins)= 1 lawn

Jan mows in 1 min= 1//90 lawn

Now finding how long will it take,t , them to mow the lawn

1/t= 1/45 + 1/90

1/t= (2+1)/90

1/t= 3/90  

t= 90/3  

t = 30  

If they work together, they will take 30 minutes to mow the lawn !

Total Weight of sand =90Kg

Ratio in which sand is divided= 2:3:7

Let x be the fundamental unit in which the sand is divided.

By conservation of mass.

2x +3x + 7x= 90

=> 12x =90

=> x=90/12 =45/6=15/2=7.5

So Amount of sand in small bag=2×7.5=15Kg

Amount of sand in medium bag =3×(7.5)=23.5Kg

Amount of sand in Large bag =7×(7.5)=52.5 Kg

Hope it helps...

Regards;

Leukonov/Olegion.

Add the ratios to find the total shares:

2 + 3 +7 = 12

Divide the total weight by the number of shares:

90 kg/ 12 =7.5 kg per share.

Now multiple each share by the weight per share:

Small = 2 x 7.5 = 15 kg

Medium = 3 x 7.5 = 22.5 kg

Large = 7 x 7.5 = 52.5 kg

Answer: 1

Work:

The median is one because to find median you have to put all the values in order and the median is the model value of the organization. If there are two in the middle find the mean of both of them. To find the mean, add up all the values to find the total and then divide the total by the number of values you added together.

Hope this helped!

Answer:

26026 ft²

Step-by-step explanation:

Area of Trapezium = 0.5 × ( a + b ) × h

a = 206, b = 132 and h = 154

Area of Trapezium = 0.5 × ( 206 + 132 ) × 154

Area of Trapezium = 0.5 × ( 206 + 132 ) × 154

Area of Trapezium = 26026 ft²

Check the picture below.

Answer: (3x-1)(4x+7)

For this case we make the product of the following expression:

[tex](3x-1) (2x ^ 2 + 4x + 3)[/tex]

To make the product we must apply distributive property that by definition establishes that:

[tex](a + b) (c + d) = ac + ad + bc + bd[/tex]

So:

[tex](3x-1) (2x ^ 2 + 4x + 3) =\\6x ^ 3 + 12x ^ 2 + 9x-2x ^ 2-4x-3 =[/tex]

We group similar terms:[tex]6x ^ 3 + (12x ^ 2-2x ^ 2) + (9x-4x) -3 =\\6x ^ 3 + 10x ^ 2 + 5x-3[/tex]

Answer:

[tex]6x ^ 3 + 10x ^ 2 + 5x-3[/tex]

Answer:

no but if they were it would be SSS

Step-by-step explanation:

[tex]\bf \stackrel{\textit{triangles are similar by \underline{Proportional Parts of Similiar Triangles}}~\hspace{10em}}{\cfrac{12}{30}\implies \cfrac{2}{5}~\hfill \cfrac{7}{17.5}\implies \cfrac{2}{5}~\hfill \cfrac{14}{35}\implies \cfrac{2}{5}}[/tex]

3|-4|

|-4| means the absolute value, which is always the positive valu of the number shown.

|-4| = 4

Now you have 3 x 4 = 12

To evaluate 3|-4|, find the absolute value of -4 (which is 4) and then multiply it by 3, resulting in the answer 12.

The absolute value of a number is its distance from zero on the number line. To evaluate 3|-4|, we first find the absolute value of -4, which is 4. Then, we multiply 3 by 4 to get the final answer of 12.

https://brainly.com/question/18731489

#SPJ6

Answer:

≈ 12.43 ( to 2 dec. places )

Step-by-step explanation:

Given

tan46° = [tex]\frac{x}{12}[/tex]

Multiply both sides by 12

12 × tan46° = x, so

x ≈ 12.43

The value of x is 12.426 in the equation Tan 46° = x/12

Tan 46° represents the ratio of the opposite side to the adjacent side in a right triangle with a 46° angle.

Using the tangent function, we have:

Tan 46° = x/12

To find the value of x, we can multiply both sides of the equation by 12:

12 ×Tan 46° = x

Now, we can calculate the value of x using the tangent of 46°:

x = 12×Tan 46°

x=  12 × 1.03553031374

x = 12.4263637649

Therefore, the value of x is 12.426

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ6

June and Stella can together create 12 floral arrangements per hour. To fulfill 372 orders, they would need to work for 31 hours.

This problem is solved by calculating the combined rate of work of June and Stella and then using this to calculate the time it will take to complete the orders. June and Stella can create a total of 12 floral arrangements per hour (6 arrangements each). Therefore, to complete 372 orders, they would need 372 divided by 12 hours.

To perform this calculation, divide 372 by 12:

372 ÷ 12 = 31 hours

So, June and Stella would need 31 hours to complete 372 Valentine’s Day floral arrangements if they work together at their current rate.

https://brainly.com/question/32565580

#SPJ3

June and Stella will need 31 hours to fulfill the 372 Valentine's Day orders.

To find out how many hours June and Stella will need to fulfill the orders, we can use the concept of unit rates. We know that June and Stella each create 6 floral arrangements in 1 hour. So together, they can create 12 floral arrangements in 1 hour. Now, we can set up a proportion using the given information: 1 hour is to 12 floral arrangements as x hours is to 372 floral arrangements. This can be written as: 1/12 = x/372. To solve for x, we can cross-multiply: 12x = 372. Dividing both sides by 12 gives us x = 31. Therefore, June and Stella will need 31 hours to fulfill the 372 orders.

https://brainly.com/question/27803485

#SPJ2

Answer:

16 dresses

Step-by-step explanation:

you can make 16 because when you divide the length of cloth (40 ft) by 2.5 (2 ft 6in) you get 16

Answer:

16

Step-by-step explanation:

We know 6 inches is .5 of a foot

1 ft = 12 inches

6 inches /12 inches = 1/2 ft

We have 40 ft of cloth and each dress is 2.5 ft long

Take 40 ft and divide by 2.5

40 ÷ 2.5 =16

We can make 16 dresses

Answer: (-2, 5) Quadrant II

Step-by-step explanation:

For every point in the plane, we will identify the location using an ordered pair of the form (x, y).

The first coordinate, the x-coordinate, will refer to the number which corresponds with the point's horizontal location as determined by the number on the x-axis.

The second coordinate, the y-coordinate, will refer to the number which corresponds with the point's vertical location as determined by the number on the y-axis.

Quadrant II: x-coordinate is negative and y-coordinate is positive.

[tex]\textit{\textbf{Spymore}}[/tex]​​​​​​

The point (-2, 5) is located in the second quadrant.

A quadrant is a region defined by the two axes (x-axis and y-axis) of the coordinate system.

Given the location of Point A at (-2, 5):

This implies that x = -3 and y = 5 represent the coordinates of Point A. In reference to the Coordinate Plane:

Since the coordinates of point A is (-2, 5), this matches the description of the points located in Quadrant II.

Therefore, the point (-2, 5) is located in the second quadrant.

Learn more about quadrant here;

https://brainly.com/question/26148648

#SPJ2

Answer:

rate of change is

Step-by-step explanation:

first point is 45

second point is 90

45-90    subtract

45  

Answer:

C

Step-by-step explanation:

The triangle ABC has two sides that are 14 and 1 side that is 19. We can use Heron's formula to Calculate ABC.

s = (a + b + c)/2

s = (14 + 14 + 19)/2 = 23.5

s - a = 23.5 - 14 = 9.5

s - b = 23.5 - 14 = 9.5

s - c = 23.5 - 19 = 4.5

=================

Area = sqrt(s * (s - a) * (s - b) * (s - c) )

Area = sqrt(23.5 * 9.5 * 9.5 * 4.5)

Area = sqrt(9543,9)

Area = 97.69

But ABC is only 1/2 the rhombus. The area is twice that amount.

Area = 2 * 97.69 = 195.4

Answer:

3:4 is the ratio there are more soda cans

Step-by-step explanation:

There are more sodas than candy bars. Specifically, there are 4 sodas and 3 candy bars, which means there is 1 more soda than candy bars.

To compare the number of sodas to candy bars, we simply look at the quantities given. We have 4 sodas and 3 candy bars. To determine which quantity is greater, we can subtract the number of candy bars from the number of sodas:

Number of sodas - Number of candy bars = 4 - 3 = 1

Since the result is a positive number, it indicates that there are more sodas than candy bars. In this case, there is exactly 1 more soda than candy bars. Therefore, we can conclude that the number of sodas is greater than the number of candy bars.

Answer:

p < 5

Step-by-step explanation:

The only "solving" you can do here is to solve for p:

Add 5 to both sides, obtaining 5 > p, which is equivalent to p < 5.

0>p-5

/ \

+5 +5

add 5 to both sides of the equation to make it disappear

so the answer is 5>p

The sum of all angles is 180 degrees. Which means.

[tex]

2y+y+10+50=180

[/tex]

Now just solve for y.

[tex]

3y+60=180 \\

3y=120 \\

y=\boxed{40}

[/tex]

The value of y is 40 therefore option B.

Hope this helps.

r3t40

For this case we have by definition, that the sum of the internal angles of a triangle is 180 degrees. Then, according to the figure we have:

[tex]y + 10 + 2y + 50 = 180[/tex]

We add similar terms:

[tex]y + 2y + 10 + 50 = 180\\3y + 60 = 180[/tex]

We subtract 60 from both sides of the equation:

[tex]3y = 180-60\\3y = 120[/tex]

We divide between 3 on both sides of the equation:

[tex]y = \frac {120} {3}\\y = 40[/tex]

Thus, the value of "y" is 40 degrees.

ANswer:

Option B

Answer:

a² + 4 a + 4

Step-by-step explanation:

( a + 2 ) ( a + 2 )

Expand brackets

a² + 2 a + 2 a + 4

Simplify

a² + 4 a + 4

[tex]\text{Hey there!}[/tex]

[tex]\text{(a + 2)(a + 2)}[/tex]

[tex]\text{In order for you to solve this, you need to DISTRIBUTE}[/tex]

[tex]\text{a(a) = a}^2[/tex]

[tex]\text{a(2) = 2a}[/tex]

[tex]\text{2(a) = 2a}[/tex]

[tex]\text{2(2) = 4}[/tex]

[tex]\text{Next, combine your like terms: 2a \& 2a}[/tex]

[tex]\text{2a + 2a = 4a}[/tex]

[tex]\text{Everything else stays the same because they aren't like terms}[/tex]

[tex]\boxed{\boxed{\bf{Thus,\ your\ answer\ is:a^2+4a+4}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

2 miles

Step-by-step explanation:

Because I said so

[tex]\bf \begin{array}{llll} x+y=1&\times(-1)\implies &\begin{matrix} -x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~-y&=-1\\ x-y=-6&&\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~~~ -y&=-6\\ \cline{3-4}\\ &&~\hfill -2y&=-7 \end{array} \\\\\\ y=\cfrac{-7}{-2}\implies \blacktriangleright y=\cfrac{7}{2} \blacktriangleleft \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{\textit{substituting on the 1st equation}}{x+\left( \cfrac{7}{2} \right)=1\implies x=1-\cfrac{7}{2}}\implies \blacktriangleright x=-\cfrac{5}{2} \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \left(-\frac{5}{2}~~,~~\frac{7}{2} \right)~\hfill[/tex]

The elimination method shows that the system of equations x + y = 1 and x - y = -6 has a single solution, which is the ordered pair (-5/2, 7/2).

To solve the system of equations x + y = 1 and x - y = -6 using the elimination method, we can add the two equations together to eliminate y. The resulting equation would be:

2x = -5

Dividing both sides by 2 gives us x = -5/2. We can then substitute the value of x back into either of the original equations to find y. Using the first equation x + y = 1:

-5/2 + y = 1

Adding 5/2 to both sides gives us y = 1 + 5/2, which simplifies to y = 7/2.

The solution set is therefore (-5/2, 7/2).

This system of equations has a single solution, so the correct answer is A, and the solution set is written as an ordered pair.

Answer:

4

Step-by-step explanation:

Answer: 28 nickels and 13 quarters

Step-by-step explanation:

Let the number of nickels represented by x and the number of quarters represented by y.

Then according to the question, we have the following equations :

[tex]x+y=41....................(1)\\\\0.05x+0.25y=4.65.................(2)[/tex]

Divide 0.05 on both sides  of equation (2), we get

[tex]x+5y=93........................(3)[/tex]

Subtract equation (1) from equation (3) , we get

[tex]4y=52\\\\\Rightarrow\ y=13[/tex]

From (1), x=28

Therefore, there are 28 nickels and 13 quarters.