Answer:
In algebra, we often study relationships where a change to one variable causes change in another variable. Describe a situation you’re familiar with where one quantity changes constantly in relation to another quantity. How are the two quantities in the situation related? If you represent the two quantities on a graph, what will it look like?
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
maximum height reached by the rocket, to the nearest tenth of a foot.
y = -16x2 + 136x + 57
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.
I need help with this, pls put step by step
At a local hardware store, Ms. Jones learned that 1 would cost her $.50, 12 would cost $1.00, and the price of 144 would be $1.50. What was Ms. Jones buying?
Answer:
how the heck would I know what she's buying the question itself doesn't even state that
In the year 2001, a company made $5.5 million in profit. For each consecutive
year after that, their profit increased by 12%. How much would the company's
profit be in the year 2003, to the nearest tenth of a million dollars?
2/5 - 3/5 ? Subtracting fractions
-1/5Answer:
Step-by-step explanation:
In which of the following expressions does the number 24 fill in the blank so that the equation is true? Select all that apply.
A) 8(3 + 5) = ___ + 40
B) 12(2 + 7) = ___ + 84
C) 8(4 + 2) = ___ + 16
D) 6(3 + 4) = 18 + ___
c
blahblahblahblahblahblahblah
What is a common denominator?
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
:)
Someone help me with this math problem
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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
A sample from a population with μ = 40 and σ = 8 has a mean of M = 36. If the sample mean corresponds to a z = –1.00, then how many scores are in the sample?
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.
Please can someone answer this I don’t get it!!! 5 points and Brainly:)
Answer:
the answer will be 39cm yes
Can someone help me I’ll give brainlist
please help me on this it is 55 points
Answer:
59/1
Step-by-step explanation:
the simplified form of (2^a)(2^b)(2^c) is
Answer:
Step-by-step explanation: hope this helps!
If you borrow $3,000 at 5% simple interest for 9 months how much will you owe in 9 months? How
much interest will you pay?
Answer: $150
Step-by-step explanation:
$3,000 x 5% = 150
Please I need some help hereeeeeeeeee
Solving Systems of Equations using substitution
Y= -6x - 10
Y= x + 4
Which represents the inverse of the function f(x) = 4x?
h(x) = X + 4
h(x) = x-4
h(x) = 3/4x
h(x) = 1/4x
Which measure is equivalent to 4 feet 5 inches?
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
I need help please...............
Step-by-step explanation:
nakita ko lang po kung ayaw nyo ed don't
4. The fourth grade went on field trip to the art museum. There are 3 classes
that have 14 students each. Each class also brought 2 teachers. If each bus
can hold 20 people, how many total buses will they need to for all the
teachers and students?
14
3
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.
0.8 -0.50 3 with solution
Answer:
0.3
Step-by-step explanation:
Answer:
0.8-0.503=0.297
0.8-0.50= 0.3
Step-by-step explanation:
The size of a cell is typically found by capturing an image under a microscope then using software to measure its diameter.
Two cells are measured using this method:
Cell G: 4.21 x 10-3 centimeters
Cell H: 9.2 x 10-4 centimeters
How many times larger is the diameter of cell G than the diameter of cell H?
Write your answer in standard notation, rounding to the nearest tenth.
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;
Diameter of Cell G = 4.21 × 10^(-3) cmDiameter of Cell H = 9.2 × 10^(-4) cmNow, 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
The area of the triangle below is 23.4 square inches. What is the length of the base?
6 in is the height
Answer:
543
Step-by-step explanation:
i am smart
Can someone please tell me if this is right or what the right answer is pleaseeeeee
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).
Which is the volume of the solid?
Answer: the answer is A
Step-by-step explanation:
4 5/6 + 5 7/8 please help asap tysm
Answer:
the answer to the question is 10 17/24
An equation is shown.
2.2 - 53 -3=0
What are the solutions to the quadratic equation?
X=
X=
The answer is -53.8
Step-by-step explanation:
jSubtract
Part 2! Please help once again! This is confusing me since I've never been good at geo. :((
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.
Mario has 6 more marbles than Sandra. Let `s` represent the number of marbles that Sandra has. Write an expression that represents the number of marbles that Mario has.
Answer:
6+s
Step-by-step explanation:
six more marbles so add 6 to s
you post 2 vidoes online. In the first hour video a gets 7 views video b gets 9 times as many. how many more views does video b get?