1. The balloon's average rate of descent is 19 meters per second.
2. The average rate of change of price of one share is $7.896.
3. 0.5 and 0.4286
How do you divide the values?1. The balloon descended 95 meters in 5 seconds. It should be noted that the average rate of descent will be:
= 95 meters / 5 seconds
= 19 meters per seconds.
2. Price of shares = $39.48
Number of days = 5 days
The average rate of change of price of one share will be:
= 39.48 / 5
= $7.896
3. The decimal value of 1/2 is 0.5.
Also, the decimal of 3/7 will be 0.4286.
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What is the value of y in the solution to the system of equations?
1/3x+ 1/4y=1
2x - 3y = -30
-8
-3
0 3
O 8
Answer:
y=8,x=-3
Step-by-step explanation:
1/3×+1/4y=1
lcm=12
multiply through by lcm to get equation 1
4x+3y=12
equation 2
2×-3y=-30
equation 2 by 2
using the substitution method
y=8
x=-3
What is 10 times as much as 30
distance between points -2,2 and 6,-4
Between the locations S(4,-3) and T(-2,2), there are 7.81 units between them.
The length of the line segment connecting two locations serves as a measure of the distance between them. Most importantly, the distance between two points is always positive and segments with the same length are known as congruent segments.
P(x1, y1) and Q(x2, y2) are two points, and the formula for their distance is provided by: d (P, Q) = (x2 - x1)2 + (y2 - y1) 2.
The points S(4,-3) and T are given.
Therefore, the distance (d) between S(4,-3) and T(-2,2) is as follows:
⇒ d (S, T) = √
² + (2 - (-3)) ².
⇒ d (S, T) = √ (-6)² + (5) ².
⇒ d (S, T) = √ 36+25
⇒ d (S, T) = √61
D (S, T) equals 7.81 units
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robert spends 30.45$, before tax, at the store.
The cost of Robert purchase of books after the paid tax is $32.66.
What is defined as the percentage increase?The percentage increase would be the difference between both the final and initial values expressed as a percentage. For other sayings, it is the difference here between final and initial values divided by the original value and multiplied by 100.For the given question;
The original cost of the book purchased by the Robet = $30.45.
The tax of 7.25% is applied on the original cost of the book.
7.25% of $30.45 = (7.25×30.45)/100
7.25% of $30.45 = $2.21
The final cost of the book = original cost + tax
The final cost of the book = $30.45 + %2.21
The final cost of the book = 32.66
Therefore, the total price paid by the Robert for the book after 7.5% of the tax is applied is $36.66.
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The complete question is-
Robert spends $30.45 before tax at the bookstore. If the sales tax rate in his city is 7.25%, what is the total cost of his purchase?
The kitchen wall is a rectangle measuring 7m by 2m.
Each tile is 50cm by 50cm. How many tiles is needed?
Line RQ bisects line DE at S. If DS = 10 + 3x and ES = -2 + 6x, what is DE
The equation for DE is [tex]8+9x[/tex]
According to the question statement, Line RQ bisects line DE at S. If DS = 10 + 3x and ES = -2 + 6x. We are supposed to find DE.
For solving this we need to know about Linear Equations and Bisector of a line.
Given that, DS = 10 + 3x and ES = -2 + 6x.
S is mid point of line DE as RQ bisects it.
So DS = SE
And DE = DS + SE
Hence, DE = [tex]10 + 3x + (-2 + 6x)[/tex]
DE = [tex]10 + 3x -2 + 6x[/tex]
DE = [tex]10 -2 +3x+6x[/tex]
DE = [tex]8+9x[/tex]
Hence equation of DE is 8+9x.
Linear Equation: The equation whose graph is always a straight line.Bisector of a line: The line or a point which divides it in two equal portions i.e., bisects it.To learn more about linear equations, click the link given below
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Question
Find the equation of the line with slope
1/4
and y-intercept (0, -2).
Answer:
y=1/4 -2
Step-by-step explanation:
y =mx + c
m= slope
c= y-intercept
putting the valves of x and y ( 0,-2)
-2 = 1/4(0) + c
solve for C
C = -2
substituting back to the general equation of
y= 1/4x + C
y = 1/4x - 2( ans).
A scientist uses a submarine to study ocean life.
She begins 174 feet below sea level.
After traveling down for 15 seconds, she's 252 feet below sea level.
Find the rate of change in the submarine's elevation in feet per second. Round your answer to the nearest tenth.
The rate of change in the submarine's elevation in feet per second is 5.2
According to the question ,
She starts 174 feet below sea level
after 15 minutes she reaches 252 feet below sea level
distance travel in 15 minutes = [tex]\frac{252 - 174}{15}[/tex]
= [tex]\frac{78}{15}[/tex]
= [tex]\frac{26}{5}[/tex]
Round off [tex]\frac{26}{5}[/tex] = 5.2
There are certain rules to follow when rounding a decimal number. Put simply, if the last digit is less than 5, round the previous digit down. However, if it’s 5 or more than you should round the previous digit up. So, if the number you are about to round is followed by 5, 6, 7, 8, 9 round the number up. And if it is followed by 0, 1, 2, 3, 4 round the number down.
Here some Rounding Examples :
Consider the number 8.9163
8.9163 rounded to the nearest tenth is 8.9
Because 9 is followed by 1 and 1 is less than 5.
8.9163 rounded to the nearest hundredth is 8.92
Because 1 is followed by 6 and 6 is greater than 5.
8.9163 rounded to the nearest thousandth is 8.916
Because 6 is followed by 3 and 3 is less than 5.
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Write the formula for the volume of a square prism, V= 1/3 s^2h, in terms of h. Then find the height h of a square prism with volume V=60cm^3 and side length s=6 cm.
The formula in terms of h is h = 3V/s^2 and the value of h is 5
How to write the formula in terms of h?The equation is given as
V = 1/3s^2h
Divide both sides of the equation by 1/3s^2
So, we have
h = 3V/s^2
The given parameters are
V = 60 and s = 6
So, we have:
h = 3 * 60/6^2
Evaluate
h = 5
Hence, the formula in terms of h is h = 3V/s^2 and the value of h is 5
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PLEASE HELP ASAPPP !!! WILL GIVE BRAINLIEST AND 5 STAR RATING
Answer:
1/3
Step-by-step explanation:
Multiplying polynomials
(5p - 5)(7p + 6)
A probability sampling method in which we randomly select one of the first k elements and then select every kth element thereafter is _____ sampling.
A probability sampling method in which we randomly select one of the first k elements and then select every kth element thereafter is systematic sampling.
What is systematic sampling?Systematic sampling is a statistical method used in survey methodology that involves selecting elements from an ordered sampling frame. An equiprobability method is the most common type of systematic sampling. The list is traversed in a circular fashion in this approach, with a return to the top once the end of the list is reached. Systematic sampling is a probability sampling method in which we randomly select one of the first k elements and then select every kth element after that. Using this method, each element in the population has a known and equal chance of being selected (also known as Epsem). As a result, systematic sampling is functionally equivalent to simple random sampling (SRS).Therefore, a probability sampling method in which we randomly select one of the first k elements and then select every kth element thereafter is systematic sampling.
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Name the angle in as many different ways as possible.
Answer:
WXZ, ZXW, 1
Step-by-step explanation:
1. Find the sum.
76,749
5 565
23
+
The sum is
(Simplify your answer. Type a whole number.)
Answer:
82,337
Step-by-step explanation:
76,749
5565
+ 23
82,337
Hope it helps!!!
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HELP PLS will mark brainliest
[tex](1-\frac{9x^2+4}{12x} )/(\frac{1}{3x}-\frac{1}{2} )+1[/tex]
Answer:
[tex] \frac{3x}{2} [/tex]
Your friend
participates in a 3.1-mile race. She
walks for 1.4 miles of the race and runs
the rest. About how many miles does
your friend run
1.7 miles, just do the total amount of what can be considered distance, then minus what she walked, resulting in the answer to be the amount of time ran.
HURRY!! A church group set off from their church at 9:00AM for the beach. The group had to change a tire at 9:31AM. The group noted that the trip took them 63 minutes to finish. What time did the church group arrive at the beach?
answer:
10:03 am
explanation:
9:00 am + 1 hour (60 min) + 3 min = 10:03 am.
√a² + b² = a + b
is this true or false? i think its true but i cant explain it right
Answer:
False
Step-by-step explanation:
Consider a=3 and b=4. The left hand side is 5 but the right hand side is 7.
What must be added to x² - 2xa to make it a perfect square?
Answer:
we need to add [tex]a^{2}[/tex] to make it a perfect square.
Step-by-step explanation:
since we know
[tex]a^{2}+b^{2}-2ab=(a-b)^{2}[/tex]
then after compairing it with x² - 2xa
we have;
missing term as [tex]a^{2}[/tex]
hence we need to add [tex]a^{2}[/tex] to make it a perfect square.
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What is the sign of
−289 + 311?
Answer:
it is positive
Step-by-step explanation:
-289+311=22 which is a positive number
2|x|-9 translate 6 units up
The translation of the function 2 | x | - 9 when translated 6 units up gives the function as 2 | x | - 3.
We are given a function:
2 | x | - 9.
A function from a set X to a set Y assigns to each element of X exactly one element of Y.
We are asked to translate the function 6 units up.
This means that we have to add 6 units to the function.
A function has been “translated” when it has been moved in a way that does not change its shape or rotate it in any way.
So, we get that:
f(x) = 2 | x | - 9 + 6
f(x) = 2 | x | - 3
Therefore, the translation of the function 2 | x | - 9 when translated 6 units up gives the function as 2 | x | - 3.
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what is the domain and range of this function?
y=|5x|-8
Answer:
Domain:
$%error%$
Range:
$%error%$
Explanation:
Both
x
and
y
belong to all the real numbers since there is no restriction on either the domain or the range.
Step-by-step explanation:
median and mode of 4.3,4.5,4.2,5
Check the picture below.
Mark had some money. He gave half of that to his brother and then he gave another $5 to his sister. He now has $20. How much money did Mark have in the beginning?
Answer:
45 $
Step-by-step explanation:
20 x 2 = 40
40 + 5 = 45
someone help me!!!
please...
Answer:students are the independent because he will get a number of cards depending on how many students there are so its
s independent and c dependent
Step-by-step explanation:
Answer:
s = independent
c = dependent
The number of cards depends on the number of students in his class.
Hope this helps :)
Round 9.25327275426 to the nearest hundredth.
Answer: 9.25
Step-by-step explanation: Round each number to the nearest place. For example, 26 would round to 30. Round each number until you get a certain number right before the hundredth place.
A geometric sequence has these properties.
What is the 7th term of this sequence?
53 + 28 help this is for my sister so she can "get" brainliets
Answer:
Alright, 53 + 28 = 81
Answer:
81
Step-by-step explanation:
Use f(x) = 12x and f -1(x) = 2x to solve the problems.
f(2) =
f−1(1) =
f−1(f(2)) =
2627 divided by 22 withR
Answer:
119 r 9
Step-by-step explanation: