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Answer:

Maximum height = 346 feet

Step-by-step explanation:

Given that,

The height of the rocket, y in feet, is related to the  time after launch, x in seconds, by the given equation as follows :

[tex]y = -16x^2 + 136x + 57[/tex] .....(1)

We need to find the maximum height reached by the rocket. For maximum height,

Put dy/dt = 0

So,

[tex]\dfrac{d}{dt}( -16x^2 + 136x + 57)=0\\\\-32x+136=0\\\\x=\dfrac{136}{32}\\\\x=4.25[/tex]

No, put x = 4.25 in equation (1).

[tex]y = -16(4.25)^2 + 136(4.25)+ 57\\\\y=346\ feet[/tex]

So, the maximum height reached by the rocket is equal to 346 feet.

-1/5Answer:

Step-by-step explanation:

Answer: They will need 3 total buses to fit all of the teachers and students.

Step-by-step explanation: If there are 14 students and 2 teachers with each class, that is a total of 16 people. Multiply 16 by 3 and you get 48 total people going on the field trip. Divide 48 by 20 and you get 2.4, which means two buses will be filled up to the max and they will need an extra bus to fit the rest. Hence, your answer: 3 total buses.

Answer:

6+s

Step-by-step explanation:

six more marbles so add 6 to s

Answer:

543

Step-by-step explanation:

i am smart

D.

Step-by-step explanation:

You've got it right, the entire graph goes 3 units down, and shifted 1 to the left by p(x+1).

Answer:

Step-by-step explanation:

The answer is 6.868 10

The number of times that diameter of cell G is larger than diameter of Cell H is; 46 × 10¯¹ times

We are given;

Now, to find how much more larger the diameter of cell G is than diameter of cell H, we will divide the diameter of cell G by the diameter of cell H to get;

(4.21 × 10^(-3))/(9.2 × 10^(-4)) = 4.6

Thus,diameter of cell G is 4.6 times larger than diameter of Cell H

Read more about ratios at; https://brainly.com/question/2784798

Answer:

B is the answer that is incorrect and must be rejected.

Step-by-step explanation:

A trapezoidal shape need not have a line of symmetry to be a trapezoid.

Answer:

the answer to the question is 10 17/24

Answer:

Look at image I attached below.

Step-by-step explanation:

Important points to memorize when finding missing angles like these:

When you know all these important rules, the rest is just a matter of adding and subtracting.

Answer:

how the heck would I know what she's buying the question itself doesn't even state that

The answer is -53.8

Step-by-step explanation:

jSubtract

Answer:

53

Step-by-step explanation:

4ft x 12 = 48 in

48 in+ 5 in= 53

4 feet and inches will be equal to 53 inches .

Given,

4 feet 5 inches

Now conversion of inches to feet,

Few unit conversions,

Conversion Factors:

1 mile = 5280 feet

1 foot = 12 inches

1 inch = 2.54 cm

1 cm = 10 mm

1 second = 1 s

1 feet = 12 inches

Here we need to convert feet into inches,

So,

1 feet = 12 inches

4 feet = 48 inches

Hence the height will be,

48 inches + 5 inches = 53 inches

Learn more about conversions,

brainly.com/question/28600662

#SPJ6

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Actually Welcome to the Concept of the Linear equations.

To get value of y, we equate the equation to Zero.

hence,

4.5(6y-8.8)/3 = 0

===> 6y -8.8 = 0

===> 6y = 8.8

==> y = 8.8/6

==> y = 1.466

Answer:

the answer will be 39cm yes

Answer:

There are 4 scores in the sample.

Step-by-step explanation:

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

Normal Probability Distribution:

Problems of normal distributions can be solved using 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.

In this question, we have that:

[tex]\mu = 40, \sigma = 8, X = 36, Z = -1, s = \frac{8}{\sqrt{n}}[/tex]

We want to find n. So

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

By the Central Limit Theorem

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

[tex]-1 = \frac{36 - 40}{\frac{8}{\sqrt{n}}}[/tex]

[tex]-4\sqrt{n} = -8[/tex]

[tex]4\sqrt{n} = 8[/tex]

Simplifying by 4

[tex]\sqrt{n} = 2[/tex]

[tex](\sqrt{n})^2 = 2^2[/tex]

[tex]n = 4[/tex]

There are 4 scores in the sample.

Step-by-step explanation:

nakita ko lang po kung ayaw nyo ed don't

Answer:

0.3

Step-by-step explanation:

Answer:

0.8-0.503=0.297

0.8-0.50= 0.3

Step-by-step explanation:

Answer:

number is -155

Step-by-step explanation:

let the number equal 'x'

quotient means divide

nine more means plus 9

quotient of a number and 5 means x divided by 5

9+ x/5 = -22

now to solve for x

x/5 = -31

x = -155

c

blahblahblahblahblahblahblah

Answer:

59/1

Step-by-step explanation:

Answer:

Step-by-step explanation: hope this helps!

least common denominator is the lowest common multiple of the denominators of a set of fractions. It simplifies adding, subtracting, and comparing fractions.

Answer:

12

Step-by-step explanation:

Because it is the lowest number that both 4 and 6 can reach by multiplying with whole numbers

:)