An arrow is shot vertically upward from a platform 45 feet high at a rate of
132 ft/sec. Use the quadratic function h(t)=−16t2+132t+45 to find how long it will take the arrow to reach its maximum height, and then find the maximum height. Round to the nearest tenth.

Answers

Answer 1

Answer:

486 feet will reached after 5.25 seconds, when rounded to nearest tenth would be 5.3

Step-by-step explanation:


Related Questions

Help??? Lma.o sorry I need the answer asap

Answers

Answer:

f(5)=38

Step-by-step explanation:

f(5) means x=5, or in this case, a=5. We plug in 5 as A. f(5)=7(5+1)-4. f(5)=7(6)-4.

f(5)=42-4

f(5)=38

Find all factors of 27.​

Answers

Answer:

all the factors of 27 is 1, 3 ,9,and 27

1 , 3 , 9 , 27 hope that helps you

George eat 3/8 a pizza and 1/4 of pizza
What fraction of pizza has George eaten

Answers

Answer: 5/8

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

1/4=2/8

2/8+3/8=5/8

Question 6 of 24
The function f(x) = x2 - 6x + 9 is shifted 5 units to the right to create g(x).
What is g(x)?
A. g(x) = (x - 5)2 - 6(x - 5) + 9
B. g(x) = (x + 5)2 - 6(x + 5) + 9
C. g(x) = (x2 - 6x + 9) + 5
D. g(x) = (x2 - 6x + 9) - 5
Micr
SUBMIT

Answers

Answer:

Step-by-step explanation: its b

Function or not functional? Pls help tyyy

Answers

Answer:

not functional, 0 over laps with T and X. so that should make it not functional (I think )

An Olympic-size swimming pool is 50 meters long. How many yards long is
the pool, to the nearest tenth of a yard?

Answers

Answer:

10.9

Step-by-step explanation:

Answer:

54.7 yards

Step-by-step explanation:

1 meter = 1.094 yards

50 meters = 54.7 yards

plsssssss answerrrrrr

Answers

Answer:

Step-by-step explanation:

Angle C and angle with 120 degrees measure are alternate and their measurement is equal so C = 120

angle C and angle B are supplementary and so their sum is equal to 180

B = 180 - 120

B = 60

angle D and angle B are also alternate so their measure is also equal to each other therefore

D = 60

A line contains the points (1, 2) and (0,1). What is the equation of the line?

Answers

Answer:

y = x + 1

Step-by-step explanation:

Slope: (1-2)/(0-1) = -1/-1 = 1

y-intercept: 1 - (-2)(0) = 1

y = x + 1

Alexander Litvinenko was poisoned with 10 micrograms of the radioactive substance Polonium-210. Since radioactive decay follows a compounded continuously model, we can determine the amount of substance left in Alexander Litvinenko's body at any given time. If Polonium-210 has a decay rate of .502%, then determine the amount of Polonium-210 left in his body after 40 days. Provide 3 decimal places and units in your answer.

Answers

Compounded continuously model are evaluated using exponential functions

There are 8.177 bacteria left after 40 days

The given parameters are:

[tex]\mathbf{a = 10}[/tex] --- the initial number of bacteria

[tex]\mathbf{r = 0.502\%}[/tex] --- the decay rate

[tex]\mathbf{n = 40}[/tex] --- the number of days

The amount of bacteria left each day is calculated using:

[tex]\mathbf{T_n = a \times (1 - r)^n}[/tex]

So, we have:

[tex]\mathbf{T_{40} = 10 \times (1 - 0.502\%)^{40}}[/tex]

Express percentage as decimal

[tex]\mathbf{T_{40} = 10 \times (1 - 0.00502)^{40}}[/tex]

Simplify the expression in bracket

[tex]\mathbf{T_{40} = 10 \times 0.99498^{40}}[/tex]

Evaluate

[tex]\mathbf{T_{40} = 8.1766}[/tex]

Approximate

[tex]\mathbf{T_{40} = 8.177}[/tex]

Hence, there are 8.177 bacteria left after 40 days

Read more about compounded continuously model at:

https://brainly.com/question/73731

Flying against the wind, a jet travels 3780 miles in 6 hours. Flying with the wind, the same jet travels 5950miles in 7 hours. What is the rate of the jet in still air and what is the rate of the wind? 1111 Rate of the jet in still air: ​

Answers

The rate of the jet in still air is 740 mph and the rate of the wind is 110 mph.

The given parameters;

distance traveled against the wind, d₁ = 3780 milestime of motion, t₁ = 6 hoursdistance traveled with wind, d₂ = 5950 milestime of motion, t₂ = 7 hours

Let the rate of the jet in still air = R₁

Let the rate of the wind = R₂

The rate of the jet against the wind:

[tex]R_1 - R_2 = \frac{3780}{6} \\\\R_1 - R_2 = 630[/tex]

The rate of the jet with the wind:

[tex]R_1 + R_2 = \frac{5950}{7} \\\\R_1 + R_2 = 850\\\\[/tex]

The rate of the jet in still air is calculated as follows;

[tex]R_1 = \frac{630 + 850}{2} \\\\R_1 = 740 \ mph[/tex]

The rate of the wind is calculated as follows;

[tex]R_1 - R_2 = 630\\\\R_2 = R_1 - 630\\\\R_2 = 740 - 630 \\\\R_2 = 110 \ mph[/tex]

Thus, the rate of the jet in still air is 740 mph and the rate of the wind is 110 mph.

Learn more about rate here:https://brainly.com/question/11664428

What is the answer to this problem?

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

I need help asap!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1/2 yd 5/3 yds The first one

Step-by-step explanation:

Intensive care units (ICUs) generally treat the sickest patients in a hospital. ICUs are often the most expensive department in a hospital because of the specialized equipment and extensive training required to be an ICU doctor or nurse. Therefore, it is important to use ICUs as efficiently as possible in a hospital. According to a 2017 large-scale study of elderly ICU patients, the average length of stay in the ICU is 3.4 days (Critical Care Medicine journal article). Assume that this length of stay in the ICU has an exponential distribution. Do not round intermediate calculations.

a. What is the probability that the length of stay in the ICU is one day or less (to 4 decimals)?

b. What is the probability that the length of stay in the ICU is between two and three days (to 4 decimals)?

c. What is the probability that the length of stay in the ICU is more than five days (to 4 decimals)?

Answers

Using the exponential distribution, it is found that there is a:

a) 0.2548 = 25.48% probability that the length of stay in the ICU is one day or less.

b) 0.1415 = 14.15% probability that the length of stay in the ICU is between two and three days.

c) 0.2298 = 22.98% probability that the length of stay in the ICU is more than five days.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:  

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:  

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = e^{-\mu x}[/tex]

In this problem, the mean is of 3.4 days, hence, the decay parameter is:

[tex]\mu = \frac{1}{3.4}[/tex]

Item a:

[tex]P(X \leq 1) = 1 - e^{-\frac{1}{3.4}} = 0.2548[/tex]

0.2548 = 25.48% probability that the length of stay in the ICU is one day or less.

Item b:

[tex]P(X \leq 2) = 1 - e^{-\frac{2}{3.4}} = 0.4447[/tex]

[tex]P(X \leq 3) = 1 - e^{-\frac{3}{3.4}} = 0.5862[/tex]

[tex]P(2 \leq X \leq 3) = 0.5862 - 0.4447 = 0.1415[/tex]

0.1415 = 14.15% probability that the length of stay in the ICU is between two and three days.

Item c:

[tex]P(X > 5) = e^{-\frac{5}{3.4}} = 0.2298[/tex]

0.2298 = 22.98% probability that the length of stay in the ICU is more than five days.

A similar problem is given at https://brainly.com/question/17039711

Pls,
Find the area of the
parallelogram below.
8 cm
12 cm

Answers

Answer: Area = 96 cm squared

Explanation;

base x height = area

Base = 12

Height = 8

12 x 8 = 96

14 blue cars out of 70 cars​

Answers

Answer:

66 cars

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

14-70=56

Step-by-step explanation:

its subtraction so you just need 70 and take away 14.

reasoning being that theyre all still cars no matter the color and you just need to take away 14 from 70, leaving you with 56.

URGENT, WILL GIVE BRAINLIEST!!
In △ABC, A=27∘, a=27 and c=24. Which of these statements best describes angle C?


C must be acute.
C must be obtuse.
C can be either acute or obtuse.
△ABC cannot be constructed.

Answers

Answer:

C must be acute, and ABC cannot be constructed

Step-by-step explanation:

24 degrees is under 90 degrees making angle c an acute angle.

ABC cannot be contructed because a triangle makes up of 180 degrees, and ABC does not make up 180 degrees.

Have a great day friend! :D

Answer:

C must be acute.

Step-by-step explanation:

The smaller the length of the side, the smaller is the angle opposite it, so C must be < 27.

Which equation has the solution x = 3?


Select each correct answer.


2x + 4 = 10

9−3x=0

3x + 1 = 9

9x−1=4

x3+5=6

5x−7=1 giving 50 pointss so hurry

Answers

Answer:

A and B

Step-by-step explanation:

A: 2x3=6 6+4=10 so correct

B: 9-9=0 so correct

Answer:

2x+4=10

Step-by-step explanation:

2x=10-4=

2x=6

x=6÷2=

3

How do you know when to rewrite square trinomials and difference of squares binomials as separate factors?

Answers

Answer:

A trinomial is an expression that has three terms.

Square trinomial

A square trinomial is simply a perfect square trinomial.

Difference of square binomials

This is easily identified because, the terms of the square binomials are perfect squares.

When cubes are added or subtracted, they can be expressed using the following

The water level in a lake was monitored and was noted to have changed -2 1/3 inches in one year. The next year it was noted to have changed -1 5/6 inches. What was the total change in the water level over the two years?

Answers

Answer:

The total change in water level over the past 2 years is [tex]\displaystyle -4 \frac{1}{6}[/tex].

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Fractions

Proper and Improper

Numbers

Least Common Multiple (LCM)

Step-by-step explanation:

Step 1: Define

Identify

Year 1 water change:  [tex]\displaystyle -2 \frac{1}{3}[/tex]

Year 2 water change:  [tex]\displaystyle -1 \frac{5}{6}[/tex]

Step 2: Find Total Water Change

[Set up] Add yearly water changes:                                                                [tex]\displaystyle -2 \frac{1}{3} + -1 \frac{5}{6}[/tex][Fractions] Convert to improper:                                                                     [tex]\displaystyle \frac{-7}{3} - \frac{11}{6}[/tex][Fraction] Rewrite [LCM]:                                                                                  [tex]\displaystyle \frac{-14}{6} - \frac{11}{6}[/tex][Order of Operations] Subtract:                                                                       [tex]\displaystyle \frac{-25}{6}[/tex][Fraction] Convert to proper:                                                                           [tex]\displaystyle -4 \frac{1}{6}[/tex]

pls help with khan academy

Answers

Answer:

c

Step-by-step explanation:

because the rest are just way off

Answer:

The answer is C, bro

Step-by-step explanation:

hope this helped.

Solve for k.
14k+3k–16k=5
k=

Answers

Answer:

5

Step-by-step explanation:

Solve for k.

14k+3k–16k=5

17k - 16k = 5

k = 5

14k + 3k - 16k = 5
=> 17k - 16k = 5
=> k = 5

5 divided by 325 what is the strategy to this question and answer

Answers

Answer: 65

Step-by-step explanation: divided the 2

5.
Identify the axis of symmetry of the parabola.



A. y = −1

B. x = −1

C. x = 1

D. y = 1

Answers

Answer is C x=1 because that’s the middle of it.

Answer:

B. x = −1

Step-by-step explanation:

In the graph, the vertex of the parabola hits point (-1,-2). Therefore, the axis of symmetry is x = -1. It is not y = -2, since the parabola opens vertically, not horizontally.

using the rectangle below calculate the values of x and y

Answers

Answer:

x=4, y=9/7

Step-by-step explanation:

We will use the property that the opposite sides of a rectangle are equal

3(3y-1)=2(y+3)

9y-3=2y+6

7y=9

y=9/7

2x=4(x-2)

2x=4x-8

2x=8

x=4

Can someone please help me figure out the answer to the question in the picture?

Answers

d=100:
g=12-1/25(100)
g=12-4
g=8, d=100

d=200:
g =12-1/25(200)
g=12-8
g=4, d=200

d=300:
g =12-1/25(300)
g=12- 12
g=0, d=300

A grocery store has five different packages of bottled water.Which is the best deal available on bottled water at this grocery store?

Answers

Answer:

Step-by-step explanation:

First, check the amount of water in each one and the price. Which ever one has the lowest price for more water has the best deal.

:) Hope this helps

Translate to an equation and solve. Let x be the unknown number.
30% of 26 is what number?

Answers

Answer: x/30=26/100 would be the equation and then to get the answer you would cross multiply which would get you, x=7.8

Step-by-step explanation:

What is the value of 1027


A. 100

B. 1,000

C. 10,000

D. 100,000

Answers

Answer:

huh? this doesn't even make sense or I'm just tripib

Step-by-step explanation:

-xoxo

what is the measure of angle x?

Answers

Answer:

180

Step-by-step explanation:

Find the value of X in triangles by subtracting known angle measurements from 180 degrees. Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle.

BEST ANSWER GETS BRAINLIEST!!!!!!!

ruben the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 9 clients who did Plan A and 7 who did Plan B. On Tuesday there were 3 clients who did Plan A and 5 who did Plan B. Reuben trained his Monday clients for a total of 12 hours and his Tuesday clients for a total of 6 hours. How long does each of the workout plans last?

Answers

Let plan A be x

Plan B be y

Equations are

[tex]\\ \sf\longmapsto 9x+7y=12--(1)[/tex]

[tex]\\ \sf\longmapsto 3x+5y=6--(2)[/tex]

Multiplying (1) by 1 and (2) by 3

9x+7y=129x+15y=18

Subtracting

[tex]\\ \sf\longmapsto -8y=-6[/tex]

[tex]\\ \sf\longmapsto y=3/4[/tex]

Putting in eq(2)

[tex]\\ \sf\longmapsto 3x+5(3/4)=5[/tex]

[tex]\\ \sf\longmapsto 3x+15/4=5[/tex]

[tex]\\ \sf\longmapsto 3x=5-4/15[/tex]

[tex]\\ \sf\longmapsto 3x=71/15[/tex]

[tex]\\ \sf\longmapsto x=71/45[/tex]

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