A biker rode for 2.5 hr. at an average rate of 12 mi./hr. Find the distance traveled.

Answer:

At 1.5 seconds and 2.5 seconds

Step-by-step explanation:

Because this is parabolic motion, the object will reach the height of 68 feet when it's going up AND when it's coming down. In order to find out those times, you set the h on the left side of the equation equal to 68, because h stands for height.

Set that equal to 0 and factor to solve for t:

Using the quadratic formula, we get t = 1.5 and t = 2.5

The height of the object after 1 second is 229 feet.

It is required to find the height of the object after 1 second.

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations. sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer.

Given:

The polynomial - 16t² + vt+ s, represents the height (in feet) of an object,

where

v is the initial vertical velocity (in feet per second),

s, is the initial height of the object (in feet),

t is the time in seconds.

We are given;

v(o) = 45 ft/s

s(o) = 200 ft

According to given question we have,

Thus, polynomial that represents the height is;

h(t) = -16t² + vt+ s,

After a time of 1 second, height is;

h(1) = -16(1)² + 45*1+ 200

h(1) =-16+45+200

h(1) =229 feet

Therefore, the height of the object after 1 second is 229 feet.

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Answer:

The first one..

Step-by-step explanation:

Answer:

The top one

Step-by-step explanation:

If you minus 19-10 you get 9 then if you divide 9 by 3 you get 3 which means that each soda costs 3 bucks

Answer:

the product of two positive numbers is positive.

Step-by-step explanation:

the product of a number and zero will always be zero, the product of two negative numbers is always positive, and the product of a positive number and a negative number is always going to be negative thereforew the only correct answer is the last option

Answer:

3x-2y=3(4)-2(-6)

12+12=24

Now, we divide the result of 3x-2y by z

Therefore, we have 24 divide - 3

-8

Therefore, the answer is - 8

Answer:

5x + 6y + 1

Step-by-step explanation:

Answer:

5 bugs

Step-by-step explanation:

You would use subtraction to find the difference: 17 - 12 = 5

The table and graph that represents the equation y = 3x are:

Table A

Graph B.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

y = 3x

This means,

For x = 0, 1, 2, 3,

y = 0, 3, 6, 9

Now,

The coordinates on the graph of the equation y = 3x will have:

(0, 0), (1, 3), (2, 6), and (3, 9)

We see that,

Graph A has the coordinates:

(0,3).

This is not possible.

And,

Table B has y = 1 when x = 3.

This is not possible.

Thus,

The table and graph that represents the equation y = 3x are table A and graph B.

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Answer:

Initial value

Step-by-step explanation:

Initial value never changes, whatsoever.

Slope is either a constant increase or decrease.

Unit rate, rate of change, and "per" all describe a rate at a certain point which is always fluctuating.

Answer:

Initial value

Step-by-step explanation:

The initial value is the y-intercept.

Answer:

1/10

Step-by-step explanation:

First, you have to get common denominators, so we will use 10. She read 5/10 in the morning, so that is 5/10 of the book left. 2/5 = 4/10 left, so if you added those two numbers up, you only get 9/10. So this means that she read 1/10 at night. I hope this helps!

Answer:

b.

$66.25

Step-by-step explanation:

just did the test

so normally we would be finding the area of a triangle which is a=h*b/2

but in this case we are finding the height so theirs 3 ways to do this but i prefer the basic way

20=1/2(5)h

20=2.5

8=h

and to find out if that was correct lets do  8*5=40      40/ 2 =20  so this is correct

the height is 8

Answer:8

Step-by-step explanation:

Answer:

4 1/4

Step-by-step explanation:

divide 255 by 60

Answer:

x=16

Step-by-step explanation:

Answer:

25/64

Step-by-step explanation:

do what's inside parentheses first

-3/8 - 2/8 = -5/8

-5/8(-5/8) = 25/64

Given:

In triangle MNO, angle ONM is a right angle. Angle NOM is 40 degrees and angle LMN is 50 degrees.

To find:

The value of cos(M).

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

Draw a diagram using the given information.

In triangle MNO, angle ONM is a right angle so its opposite side MO is the hypotenuse. For vertex M, MN is the base of the triangle. So,

[tex]\cos (M)=\dfrac{MN}{MO}[/tex]

Therefore, the correct option is B.

Answer:

it is b

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

y varies inversely with x setup is:

y = k/x

7 = [tex]\frac{k}{2/3}[/tex]  (find 'k')

k = 7/1 · 2/3

k = 14/3

use what you know about 'k' and 'x' to solve for 'y'

y = 14/3 ÷ 7/3  (remember to multiply by the reciprocal when dividing fractions)

y = 14/3 · 3/7

y = 2

Answer:

x = 60

Step-by-step explanation:

(x+22) + (x+6) + (x-28) = 180

x + 22 + x + 6 + x - 28 = 180

x + x + x + 22 + 6 - 28 = 180

3x = 180

x = 180/3

x = 60

Answer:

6y + 5x

Step-by-step explanation:

6y + 8x - 3x

Combine like terms (put all the "x"'s with the"x"'s and "y"'s with the "y"'s together)

8x - 3x = 5x

6y + 5x

And you cannot simplify it anymore, since they are not like terms

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

I- What? yes?

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 1/3

Answer:

She borrowed php4737.00.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

6% interest:

This means that [tex]I = 0.06[/tex]

19 months:

An year has 12 months, so [tex]t = \frac{19}{12} = 1.5833[/tex]

She paid an interest of php 450. How much money did she borrow​

This is P when [tex]E = 450[/tex]. So

[tex]E = P*I*t[/tex]

[tex]450 = P*0.06*1.5833[/tex]

[tex]P = \frac{450}{0.06*1.5833}[/tex]

[tex]P = 4737[/tex]

She borrowed php4737.00.

9514 1404 393

Answer:

  (x, y) = (8, 2)

Step-by-step explanation:

The relevant equations are ...

  3x -y = 22

  x +2y = 12

__

We can eliminate y by adding twice the first equation to the second.

  2(3x -y) +(x +2y) = 2(22) +(12)

  7x = 56

  x = 8

Substituting into the first equation gives ...

  3(8) -y = 22

  y = 24 -22 = 2

The first number is 8; the second number is 2.

Answer:

5.12

Step-by-step explanation:

Answer:

330 calories if it is 2 1/2 cup of cheerios.

Step-by-step explanation:

140 is 1 cup of cheerios multiply it by 2

50 is half a cup

now add 280 (140 x2) plus 50 which equals = 330 calories for 2 1/2 cups of cheerios.

Answer:

The answer is 3.

Step-by-step explanation:

Answer:

2(4+7) = 2×4 + 2×7 = 8 + 14 = 22

Step-by-step explanation:

Answer:

Question 4: 20 + 6 + 6 + 12 + 16 = 60 [tex]yd^{2}[/tex]

Question 5: 144 + 90 + 90 + 48 + 48 = 420 [tex]m^{2}[/tex]

Question 6: 78.28 + 78.28 + 88.58 + 27.09 + 27.09 = 299.32 [tex]ft^{2}[/tex]

Step-by-step explanation:

Hope this helps!

Answer:

1. 27/9=3+9=12

2. 4+5x3=5x3=15+4=19

3. -9+-4=-13

4. 9--5=14

Answer:

This type of sample can be best described as a stratified sample

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

The students are divided into groups, according to how many years they have attended the university. Then, from each group, some(30) students are surveyed. This is an example of Statrified Sampling