An object is launched directly in the air at a speed of 72 feet per second from a platform located 12 feet above the ground. The position of the object can be modeled using the function f(t)=−16t2+72t+12, where t is the time in seconds and f(t) is the height, in feet, of the object. What is the maximum height, in feet, that the object will reach?

Answer:

-40 - 8 = 48

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

A. True

Step-by-step explanation:

7 divided by 1/4 flip it it equals 28

7 x 4 -= 28

Answer:

Explanation:

17x − 18 = 2(7x)

17x − 18 = 2(7x)

17x + −18 = 14x

17x − 18 = 14x

17x − 18 − 14x = 14x − 14x

3x − 18 = 0

3x − 18 + 18 = 0 + 18

3x = 18

3x / 3 = 18 / 3

- PNW

Answer:

y = 20   x = 6

Step-by-step explanation:

1 (3x+ 2y = 58 ------------>  -3x + -2y = -58

1x + 2y = 46 -------------->    1x + 2y = 46  

                                              ____________

                                                -2x  =  -12

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

                                                -2x       -2x

                                                 x = 6

3(6) + 2y = 58

18 + 2y = 58

-18          -18                                    

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

       2y = 40

      -----  -----

       2y     2y

y = 20

Answer:

Number of advance tickets sold = 30

Number of same-day tickets sold = 20

Step-by-step explanation:

Let,

x be the number of advance tickets sold

y be the number of same-day tickets sold

According to given statement;

x + y = 50      Eqn 1

25x + 20y = 1150     Eqn 2

Multiplying Eqn 1 by 25

25(x+y=50)

25x + 25y = 1250     Eqn 3

Subtracting Eqn 2 from Eqn 3

(25x+25y)-(25x+20y) = 1250 - 1150

25x + 25y - 25x - 20y = 100

5y = 100

Dividing both sides by 5

[tex]\frac{5y}{5}=\frac{100}{5}\\y=20[/tex]

Putting y = 20 in Eqn 1

x + 20 = 50

x = 50 - 20

x = 30

Hence,

Number of advance tickets sold = 30

Number of same-day tickets sold = 20

Answer:

Circle

Step-by-step explanation:

Answer:

It is a circle

Step-by-step explanation:

I am really sorry if I am being rude but I have to ask. It's says that you are in collage, so how can you not know something as simple as this?

Answer:

7

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

1210.36

Step-by-step explanation:

40,000=pv

5.64/12=0.47% is interest

3*12=36 periods

I have used a financial calculator

Answer:

37.5 is the answer to the problem

Answer:

(x + 2)^2 - 11.

Step-by-step explanation:

f(x) = x^2 + 4x - 7

So  x^2 + 4x = (x + 2)^2 - 4 so we have:

f(x) = (x + 2)^2 - 4 - 7

f(x) = (x + 2)^2 - 11.

Answer:

t-120(30

Step-by-step explanation:

Answer:

idek this one was confusing for me to

Step-by-step explanation:

BRAINLY FREE POINTS JSJJSJJ

Answer:

Step-by-step explanation:

Martin is two years younger than three times his daughter Ada’s age:

The sum of their ages is 54:

Solving this equation for m:

Eliminate m:

Solve for a:

Find m:

Martin is 40 and Ada is 14

Answer:

0.3821 = 38.21% probability that Ricardo makes a higher proportion of putts than Tammy.

Step-by-step explanation:

To solve this question, we need to understand the normal distribution, the central limit theorem, and subtraction of normal variables.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of normal variables:

When we subtract normal variables, the mean of the subtraction will be the subtraction of the means, while the standard deviation will be the square root of the sum of the variances.

Ricardo makes 47% of his putts, and attempts 25 putts.

By the Central Limit Theorem, we have that:

[tex]\mu_R = 0.47, s_R = \sqrt{\frac{0.47*0.53}{25}} = 0.0998[/tex]

Tammy makes 51% of her putts, and attempts 30 putts.

By the Central Limit Theorem, we have that:

[tex]\mu_T = 0.51, s_T = \sqrt{\frac{0.51*0.49}{30}} = 0.0913[/tex]

What is the probability that Ricardo makes a higher proportion of putts than Tammy?

This is the probability that the subtraction of R by T is larger than 0. The mean and standard deviation of this distribution are, respectively:

[tex]\mu = \mu_R - \mu_T = 0.47 - 0.51 = -0.04[/tex]

[tex]s = \sqrt{s_R^2 + s_T^2} = \sqrt{0.0998^2 + 0.0913^2} = 0.1353[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 0. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0 - (-0.04)}{0.1353}[/tex]

[tex]Z = 0.3[/tex]

[tex]Z = 0.3[/tex] has a pvalue of 0.6179

1 - 0.6179 = 0.3821

0.3821 = 38.21% probability that Ricardo makes a higher proportion of putts than Tammy.

Answer:

A (.384)

Step-by-step explanation:

EDGE2021! :)

Answer:

A2=2(a2-1-3)

A2=2(a1-3)

A2=2(0-3)

A2=-6

A3=2(a2-3)

A3=2(-6-3)

A3=2*-9

A3=-18

A4=2(a3-3)

A4=2(-18-3)

A4=-42

The 4th term in the sequence using the given definition is -42.

for better understanding check the calcualtion below .

Calculation :

we find out the fourth term in the sequence by using the given formula

Given :

[tex]a_1=0\\a_n=2(a_{n-1}-3)[/tex]

first term is given as 0

Lets find out the second term using the given formula

Substitute n =1 to find out second term

[tex]a_n=2(a_{n-1}-3)\\n=2\\ a_2=2(a_{2-1}-3)\\ a_2=2(a_{1}-3)\\a_2=2(0-3)\\a_2=-6[/tex]

so the second term is -6

Find out thrid term by substituting n = 3

[tex]a_3=2(a_2-3)\\a_3=2(-6-3)\\a_3=-18[/tex]

So the third term is -18 . Now find out fourth term by substituting 4 for n

[tex]a_4=2(a_3-3)\\a_4=2(-18-3)\\a_4=-42[/tex]

The 4th term in the sequence using the given definition is -42

Learn more information about 'sequence ' here

brainly.com/question/33617

Answer:

6:8 and 9:12

Step-by-step explanation:

Just multiply a number to both of the numbers in the ratio to get an equivalent ratio

3:4

3 x 2 = 6       4 x 2 = 8      3 x 3 = 9        4 x 3 = 12

9:12

6:8

Answer:

Hi...

10+6/12=10.5

So...10.5/9=1.16

The ratio shows how many times one value is contained in another value.

Emeka's age = 10.5 years

Boyle's age = 9 years

The ratio of Emeka's age and Boyle's age is 7/6.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

Emeka:

Age = 10 years and 6 months

We know that,

12 months = 1 year

Divide 6 on both sides.

6 months = 1/6 years

6 months = 0.5 years

So,

10 years and 6 months = 10.5 years.

Emeka age = 10.5 years _____(1)

Boyle:

Age = 9 years _____(2)

The ratio of Emeka's age and Boyle's age.

From (1) and (2) we get,

= Emeka age : Boyle age

= 10.5 : 9

= 105 / 90

= 5 x 21 / 5 x 18

= 21 / 18

= 3 x 7 / 3 x 6

= 7/6

Thus,

The ratio of Emeka's age and Boyle's age is 7/6.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ2

Answer:

Step-by-step explanation:7

Answer:

[7-2x+5y-(x-y) -[5x+3y-7]

= 7-2x+5y-x+y-5x-3y+7

=7+7-2x-x-5x+5y+y-3y

=14-8x+3y

=-8x+3y+14

Step-by-step explanation:

Answer:

The answer is 14!

Step-by-step explanation:

Answer:

y=x-5

Step-by-step explanation:

the y intercept is -5 and slope is 1

Answer:

ttbh

Step-by-step explanation:

Answer:go0gle

gle come in clutch

Step-by-step explanation:

Next, let's solve 3x+2y = 10 for the variable y. Move the 3x to the right hand side by subtracting 3x from both sides, like this: 3x - 3x = 0. The answer is 2y. The answer is 10-3x.

Answer:

4 inches

Step-by-step explanation:

Just have to make it into the simplest form.

Answer:

0.1>0.01 0.2>0.03 0.12>0.21 0.13> 0.031

hope it right

Answer:

hope it will help yu a lot

y = 4x +8

Step-by-step explanation:

Just take the signs of the integers and switch them around! -4 becomes +4, and -8 becomes +8. Note that you should not switch multiplication to division, this only works for addition and subtraction signs.