Answer:
y = 1/7
Step-by-step explanation:
y ∝ 1/√x ⇒ y = k/√xy = 5, x = 49 ⇒ 5 = k/√49 ⇒ 5 = 7k ⇒ k = 5/7y = 5/(7√x) ⇒ x = 25 ⇒ y = 5/(7√25) = 5/(7·5) = 1/7The value of x is 25 then y is 7.
What is Proportionality?In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.
Given:
y ∝ 1 √ x
and, y= 5 when x= 49
So, the relation will be
y ∝ 1/√x
y = k/√x
So, 5 = k/√49
5 = k /7
k = 35
Now, k = y/ √x
35 = y √25
35 = 5y
y = 7
Hence, when x is 25 then y is 7.
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Help plz.
................
Answer:
-2, 14 is your answer. Hope this helps!
Step-by-step explanation:
If k(-5, 10) is midpoint and (-8, 6) is one side then you add -3 and subract 4 to get L. That means subtract 3 from -5 and add 4 to the 10.
Which expressions are equivalent to 3x+ 3(x + y)?
Answer:
6 x + 3 y = 3x+ 3(x + y) or 3 (2 x + y)
Step-by-step explanation:
all exxpressions are equivalent
Answer: 6x + 3y & 3(x + x + y)
Step-by-step explanation:
Express in algebraic terms: five less than four times a number.
Answer: 4n-5
n= Number
If g(x) = x² + 2, find g(3)
options
9
8
11
6
Please help. FLVS.
Answer:
g(3) = 11Step-by-step explanation:
g(x) = x² + 2
To find g(3) , substitute the value of x that's 3 into g(x) , that is for every x in g (x) replace it with 3
That's
g(3) = 3² + 2
= 9 + 2
We have the final answer as
g(3) = 11Hope this helps you
Mathematics Diagnostic Assessment
14
Miller inventoried the batteries in his house. The two-way table below shows the data he collected.
AA
Total
29
18
AAA
11
14
Disposable
Rechargeable
Total
7
21
25
25
Ihs 50
Which correlation does the two-way table suggest?
A. The rechargeable batteries tend to be AAA.
B. None of the correlations listed are correct.
C. The rechargeable batteries tend to be AA.
D. The disposable batteries tend to be AAA.
tum. All rights reserved,
e here to search
o
Answer:
The rechargeable batteries tend to be AAA.
Step-by-step explanation:
Have a good day :)
-14 - 8x = -2(-3x + 7)
solution? No solution? Infinite?
Answer:
the answer is one solution
Answer:
x=0
This means that there is a solution.
Step-by-step explanation:
Step 1- Distribute into the parenthesis
-14-8x= (-2)-3x+(-2)7
Step 2- Multiply
-14-8x= 6x-14
Step 3- Add 8x to both sides.
-14x-8x= 6x-14
+8x +8x
Step 4- Add 14 to both sides.
-14= 14x-14
+14 +14
Step 5- Divide both sides by 14.
0 = 14x
14 14
x=0
scientist measured water pressures of different depths she measured the table showing her findings the X values represents the deepest death matters the Y value represents the pressure in atmospheres
Answer:10,2
Step-by-step explanation:
Answer:
the answer you are looking for is A
Step-by-step explanation:
Laura bought 55 shares of stock for $3.50 per share last year. She paid her broker a 1% commission. She sold the stock this week for $2 per share, and paid her broker a $10 flat fee. What were Laura’s net proceeds? Round to the nearest cent. What was her capital gain or loss?
Answer:
cp of 55 shares = 3.50 * 55 = 192.5
commission amount = 1% *192.5 = 1.925
Total invest = 192.5 + 1.925 = 194.425
sp of 1 share = 2
sp of 55 share = 2*55 = 110
Earning from shares = 110
since earning is less than invest, Laura has loss of (194.425 - 110) = 84.425
Laura has a loss of $84.425 for the cost price of $192.5.
What is an expression?Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Cost price of 55 shares = 3.50 x 55 = 192.5
Commission amount = 1% *192.5 = 1.925
Total invest = 192.5 + 1.925 = 194.425
The selling price of 1 share = 2
The selling price of 55 share = 2*55 = 110
Earning from shares = 110
Since earnings are less than investment, Laura has a loss of (194.425 - 110) = $84.425
Therefore, Laura has a loss of $84.425 for the cost price of $192.5.
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Before a movie began, a theater had people waiting in the seats. During each of 4 movie trailers, 7 more people came into the theater. When the movie started 82 people were in the theater. Assume the relationship is linear. Determine and interpret the rate of change and the initial value.
can someone help me ASAP!!!!
Answer:
well assuming that it's linear the
Step-by-step explanation would be: something but you don't want that you want the answer assuming that 7 people came in every 4 trailers the slope or rate of change would be 7/4 and the initial value would be 5.
For the pair of functions, find (f o g)(x) and (gof)(x).show work!!!!!
f(x) = -2x^2, g(x) = x + 4
A. (fog)(x) = -2x^2– 8x^2; (gof)(x) = -2x^3 - 8x^2
B. (fºg)(x) = -2x^2– 16x - 32; (g = f)(x) = -2x^2+ 4
C. (fog)(x) = -2x^2 + 4; (g e f)(x) = -2x^2- 16x - 32
D. (fog)(x) = -2x^2- 32; (go 3)(x) = -2x^2 + 4
The function (f·g)(x) is -2x³-8x²and the function (g·f)(x) is -2x³-8x². Therefore, the correct answer is option A.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(x)=-2x² and g(x)=x+4.
Now, (f·g)(x)=f(x)×g(x)
= -2x² ×(x+4)
(f·g)(x)= -2x³-8x²
Here, (g·f)(x)=g(x)×f(x)
= (x+4)×(-2x²)
(g·f)(x)= -2x³-8x²
Therefore, option A is the correct answer.
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The least-squares regression line Sˆ=0.5+1.1L models the relationship between the listing price and the actual sales price of 12 houses, with both amounts given in hundred-thousands of dollars. Let L represent the listing price and S represent the sales price.
Answer:
For each hundred-thousand-dollar increase in the listing price, the sales price is predicted to increase by $110,000.
Step-by-step explanation:
The sales price is not predicted to increase by $1.1; it is predicted to increase by $110,000 because S is measured in hundred-thousands of dollars. The sales price will not decrease by $110,000; it is predicted to increase by $110,000.
A linear regression is represented as [tex]^\wedge y = mx + c[/tex].
The true option is: E. For each hundred-thousand-dollar increase in the listing price, the sales price is predicted to increase by $110,000.
Given that:
[tex]^\wedge S = 0.5 + 1.1L[/tex]
From the general linear equation, we have:
[tex]1.1 \to[/tex] The slope
[tex]0.5 \to[/tex] The y-intercept
The slope is the difference between the sales price of one listing and the next.
From the question, we understand that the listed amount is in 100,000's.
This means that there is an increment of [tex]\$1.1 \times 100000[/tex] between the sales price of concurrent listing
So, we have:
[tex]\$1.1 \times 100000 =\$110000[/tex]
From the list of given options (see attachment), we can then conclude that (e) is correct.
Hence, for each hundred-thousand-dollar increase in the listing price, the sales price is predicted to increase by $110,000.
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Add. Simplify, if possible. Help please.
Answer: A
Step-by-step explanation:
To add fractions, we want to make sure there is a common denominator. After that, we can add the numerator.
[tex]\frac{8}{z^2+6z+9} +\frac{5}{z^2-9}[/tex] [factor denominator]
[tex]\frac{8}{(z+3)(z+3)} +\frac{5}{(z+3)(z-3)}[/tex] [multiply first fractioni by z-3 and second by z+3]
[tex]\frac{8(z-3)}{(z+3)^2(z-3)} +\frac{5(z+3)}{(z+3)^2(z-3)}[/tex] [distribute by FOIL]
[tex]\frac{8z-24}{(z+3)^2(z-3)} +\frac{5z+15}{(z+3)^2(z-3)}[/tex] [add]
[tex]\frac{13x-9}{(z+3)^2(z-3)}[/tex]
This is the same as A. Therefore, A is our answer.
An airplane takes off over flat area when it is 2500' above the Earth it has covered 3000' on the ground how many feet approximately has it flow through the air
Answer:
3905.12 feet
Step-by-step explanation:
we can form a triangle in order to use the Pythagorean theorem: a² + b² = h²
where:
a = distance covered on the ground
b = height above the Earth
3000² + 2500² = h²
h² = 9000000 + 6250000 = 15250000
h = √15250000
h = 3905.12 feet
2x^3 + 3x^2 -11x -6 divided by x - 2
p(x)= x-2
g(x)= 2x^3 + 3x^2 - 11x - 6
first we have to find the zero of the polynomial of x-2
p(x)= x-2 = 0
x=2
therefore,
p(x)= 2x^3 + 3x^2 - 11x - 6
p(2)= 2*2^3 + 3*2^2 - 11*2 - 6
= 2*8 + 3*4 - 11*2 - 6
= 16 + 12 - 22 - 6
= 28-28
= 0
Hope it helped u, ^_^.
Records show that Oliver is typically 10–30 minutes late for his shift at work. The distribution for the minutes he is late forms a consistent pattern, which can be graphed as the given uniform density curve. John and Oliver are working a shift that starts at the same time. John always arrives 8 minutes late. What percentage of the time does Oliver arrive within 10 minutes of John's arrival time? O 26.7% O 33.3% 2 O 40% O 50%
Answer:
40%
Step-by-step explanation:
10 minutes late would mean 18 minutes late on the graph. The graph goes from 10-30 which creates a difference of 20. 8 divided by 20 equals 40 percent.
40 percent of the time does Oliver arrives within 10 minutes of John's arrival time.
Given that,
Oliver is typically 10–30 minutes late for his shift at work.
The distribution for the minutes he is late forms a consistent pattern, which can be graphed as the given uniform density curve.
John and Oliver are working a shift that starts at the same time. John always arrives 8 minutes late.
We have to determine,
What percentage of the time does Oliver arrive within 10 minutes of John's arrival time?
According to the question,
Oliver is typically 10–30 minutes late for his shift at work.
John and Oliver are working a shift that starts at the same time.
John always arrives 8 minutes late.
From the complete information, the probability distribution will be:
[tex]= \dfrac{1}{b-a}\\\\= \dfrac{1}{30-10}\\\\= \dfrac{1}{20}[/tex]
Here, John always arrives 8 minutes late.
Therefore,
The percentage of the time that Oliver arrives within 10 minutes of John's arrival time is,
[tex]\rm = 8 \times \dfrac{1}{20}\\\\= \dfrac{2}{5}\\\\= 0.4 \times 100 \\\\= 40 \ Percent[/tex]
Hence, 40 percent of the time does Oliver arrives within 10 minutes of John's arrival time.
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hey, can someone plz help me.
Answer:
3, -1
Step-by-step explanation:
Answer:
(-3, 1)
Step-by-step explanation:
Use the midpoint formula: ([tex]\frac{x1+x2}{2} ,\frac{y1+y2}{2}[/tex]) x1=2, x2=4 and y1=5 y2=-7
Consider what you learned about change in this lesson and in the story. Think about the theme of "people can change for
the better." How do you think the short story explores this theme?
In about 150 words, explain how you think this story demonstrates this theme. Use examples from the story to support
your answer.
At the beginning of the story, Jimmy Valentine is eager to get back to his old ways. He packs his suitcase of “burglar’s tools” and leaves town. However, when he reaches Elmore, he falls in love with Annabel Adams. He “looked into her eyes, forgot what he was, and became another man.” His love for Annabel drives him to change his ways and live a decent life. He is able to change for the better for her.
What is three and five eights as a decimal
Answer:
3.625 would be the correct answer.
Step-by-step explanation:
Can someone help mewith this
Answer:
(x+3)(x-3) * 2
4 (x-3) (x+3)
= 1/2
Answer:
1/2
Step-by-step explanation:
[tex]\frac{(x-3) * (x+3) }{2(2x-6)}[/tex] × [tex]\frac{2}{x+3}[/tex]
[tex]\frac{(x-3)*1}{2(x-3)}[/tex]
[tex]\frac{1}{2}[/tex]
Divide.
-3 1/3 divided by 9
Answer:
-10/27 (or) -0.37037037...
Step-by-step explanation:
-3 1/3÷9=
-10/3÷9=
-10/27 (or) -0.37037037...
Answer:
-10/27
Step-by-step explanation:
do you divide or multiply for w in the equation A = lw
Answer:
Multiplication
Step-by-step explanation:
This looks like the equation for the area of a rectangle.
Area = Lenght * Width
Given that the "l" variable and the "w" variable or next to each other without '/' or '\' , then we can safely say this a multiplication operation.
If there is no symbol between variables, it is assumed to be short-hand for multiplication instead of writing '*', '.', or 'x' in-between the variables.
Cheers.
can someone help me?
thanks
Answer:
A
Step-by-step explanation:
2w means 2 pounds per week
you need less than or equal to because think about it like this
you want to be LESS THAN or EQUAL TO 190 pounds. on the right side is reality , what you really are. you need the right side to be LOWER or EQUAL to the left side!
the product of two numbers is 12
HELP!!!!Find the measurement of 4(Explain)
Answer:
26°
Step-by-step explanation:
The angle 5 is equal to angle 154° as these are both corresponding angles and corresponding angles are equal.
Angles on a straight line equal 180°, so if we take 154° from 180° we get angle 4, which is 26°
I hope that helped!
XY and WZ are parallel.
Angle 1 + 154° = 180° (Linear pair)
→ Angle 1 = 180 - 154
→ Angle 1 = 26°
Now, Angle 4 = Angle 1 (Alternative interior angles)
→ Angle 4 = 26°
Hence, we got the answer.
HELPPP!! ASAP PLZ!!!
there are 25 studentz in Lauras class,and 21 of the students went on the class trip to the zoo. what percentage of students went on the class trip?
F) 21%
G) 25%
H) 74%
J) 84%
Answer:
J: 84%.
Step-by-step explanation:
I don't really know how to explain this one.
Answer:
J. 84
Step-by-step explanation:
Three sisters have ages that are consecutive odd integers. Their combined ages is 51.
How old is the youngest sister?
heeeeelp Find the distance of AB if A (2, 6) and B (-5, 2).
Answer:
let A (2, 6) be (x1, y1)
B (-5, 2) be (x2, y2)
distance AB =√[(x2 - x1)² + (y2 - y1)²]
√[(-7)²+ (-4)²]
√65
Please help guys lol I have no clue how to do this... it’s the square root method?
Answer:
2 seconds.
Step-by-step explanation:
s=16t² -- (1)
s=64. (given)
Put value of s in (1)
64=16t²
16t²=64
t²=64/16
t²=4
t=√4
t=2 seconds.
Hope this helps :-)
4 times a number is 16
Answer:
4 times 4 equals 16
Step-by-step explanation:
4 times 1= 4
4 times 2= 8
4 times 3= 12
4 times 4= 16
you add 4 after each result.
Tell whether the lines are parallel perpendicular or neither Y=4x+5 Y=-1/4x+4