Answer:
y = - 0.0635x + 69.050 ;
For every unit increase in commute time, well being falls by 0.0635 on average ;
67.1
Step-by-step explanation:
Given :
Commute Time (minutes), x : 5 20 25 35 60 72 105
Well-Being Index Score, y : 69.1 67.8 67.1 66.6 65.0 65.0 62.3
The regression model obtained is :
y = - 0.0635x + 69.050
Where ;
y = Well being Index Score
x = Commute time
Slope = - 0.06352
Intercept = 69.0504
2.)
The slope value, - 0.0635 gives the rate of change in y per unit increase in x.
3.)
Well being Index for a person with commute time of 30 minutes
x = 30
y = - 0.06352(30) + 69.0504
y = 67.1448
y = 67.1 (1 decimal place)
evaluate the expression (4×5)2-6+3
Answer:
40x - 3
Step-by-step explanation:
4x(5)(2)−6+3
=40x+−6+3
=40x+−6+3
=(40x)+(−6+3)
=40x+−3
The fish population is decreasing at a rate of 3% per year. In 2002 there were about 1600 fish. Find the fish population in 2010. Round to the nearest whole number
Answer:
Population of fish in
Consider the function shown below.
g(x) = 2^x
If the function gis horizontally compressed by a factor of 1/2 and reflected across the x axis to obtain function f, which of the following graphs
matches the above transformation?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The only graph that shows a proper vertical reflection is the one attached. (It also correctly shows the horizontal compression.)
Answer:
It's Y
Step-by-step explanation:
I got it right. Hope this helps.
f(x)= square root of x-5. find f-1 (x) and it’s domain
Answer:
Option B.
Step-by-step explanation:
Inverse function:
Suppose we have a function y = f(x). To find the inverse function, we exchange x and y on the original function, and then isolate y.
The domain of the inverse function(x values) is the range of the original function(y values).
Original function:
[tex]f(x) = \sqrt{x} - 5[/tex]
Domain is [tex][0,\infty)[/tex], and when [tex]x = 0, f(x) = -5[/tex]. So the range is [tex][-5,\infty][/tex], that is, [tex]y \geq -5[/tex]
Inverse function:
[tex]y = \sqrt{x} - 5[/tex]
Exchanging x and y
[tex]x = \sqrt{y} - 5[/tex]
[tex]\sqrt{y} = x + 5[/tex]
[tex](\sqrt{y})^2 = (x+5)^2[/tex]
[tex]y = (x+5)^2[/tex]
The inverse function is [tex]f^{-1}(x) = (x+5)^2[/tex]
Domain:
Range of the original function is [tex]y \geq -5[/tex], so the domain of the inverse function is [tex]x \geq -5[/tex]. The correct answer is given by option B.
Answer:
B. f ^ -1 (x) = (x + 5) ^ 2;
x > -5
Step-by-step explanation:
Ap e x
the spinner shown below has 12 congruent sections. the spinner spun 150 times. what is a reasonable prediction for the number of items the spinner will land on an even number. (pls help asap!!)
Answer:45
Step-by-step explanation:
There are 3 even numbers out of A total of 8 numbers.
Each spin would have a 3/8 chance of landing in an even number.
Multiply the chance of landing on even by number of spins:
120 x 3/8 = 360/8 = 45
The answer would be 45 times.
consider the series 1/4+1/16+1/64+1/256
The expression that defines Sn is option (A), Sn = lim n->∞ (1/4)^n is the correct answer.
What is a series?A sequence is defined as an arrangement of numbers in a particular order. A series is the cumulative sum of a given sequence of terms. Typically, these terms are real or complex numbers.
For the given situation,
The series is 1/4 + 1/16 + 1/64 + 1/256.
⇒ [tex]\frac{1}{4}+\frac{1}{16} +\frac{1}{64} +\frac{1}{256}[/tex]
⇒ [tex]\frac{1}{4}+\frac{1}{4^{2} } +\frac{1}{4^{3} } +\frac{1}{4^{4} }[/tex]
Thus the sum of this series can be obtained by the expression,
[tex]S_{n}= \lim_{n \to \infty} (\frac{1}{4^{n}})[/tex]
⇒ [tex]S_{n}= \lim_{n \to \infty} (\frac{1}{4})^{n}[/tex]
Hence we can conclude that the expression that defines Sn is option (A), Sn = lim n->∞ (1/4)^n is the correct answer.
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describe and correct the error in solving the equations below
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Answer:
19. wrong multiplier was used, and used incorrectly; x = -324
20. wrong multiplier was used, and used incorrectly; y = 5
Step-by-step explanation:
In each case, the equation was multiplied by the coefficient of the variable, instead of divided. In each case, the square of the coefficient was evaluated incorrectly (so the error wasn't noticed).
__
19) As described above.
(-36)(9) = (x/9)(9)
-324 = x
__
20) In addition to the errors described above, the variable was changed from y to x.
15/3 = (3y)/3
5 = y
Question 26 of 40
How does the graph of f(x) = -45% - 3 differ from the graph of g(x) = -45%?
O A. The graph of f(x) is shifted three units to the right of the graph of
g(x).
O B. The graph of f(x) is shifted three units down from the graph of
g(x).
C. The graph of f(x) is shifted three units to the left of the graph of
g(x).
O D. The graph of f(x) is shifted three units up from the graph of g(x).
What is the volume of this cube
Answer:
1
Step-by-step explanation:
Multiply all(3) given lengths to get your volume.
Answer: 1 ft3 I think is the answer
Step-by-step explanation: :)
SolvE for x
A. 14.6
B. 6.2
C. 31.2
D. 5.6
Answer:
C) 31.2
Step-by-step explanation:
[tex]Cos ~65=\frac{13.2}{x}[/tex][tex]x=\frac{13.2}{Cos~65}[/tex][tex]\frac{13.2}{0.92261}[/tex][tex]31.23[/tex]-------------------
hope it helps...
have a great day!
What is the volume of the rectangular prism?
The stadium vending company finds that sales of hot dogs average 35,000 hot dogs per game when the hot dogs sell for $2.50 each. For each 25 cent increase in the price, the sales per game drop by 2000 hot dogs. Determine a function R x that models the total revenue per game, where x is the number of $0.25 increases in the price of a hot dog.
Answer:
A function R x that models the total revenue per game is as follows:
Rx = 87,5000 + 3,750x – 500x^2.
Step-by-step explanation:
Based on the information in the question, we have:
Rx = Total revenue per game
x = Number of $0.25 increases in the price of a hot dog
Average sales of hot dogs = 35,000
Effect of each 25 cent increase in the price on average sales = 35,000 - 2000x
Effect of each 25 cent increase in the price on selling price = 2.5 + 0.25x
Therefore, we have:
Rx = (35,000 - 2000x)(2.5 + 0.25x)
This can be solved further by opening the brackets as follows:
Rx = 87,5000 + 8,750x - 5,000x - 500x^2
Rx = 87,5000 + 3,750x – 500x^2
Therefore, a function R x that models the total revenue per game is Rx = 87,5000 + 3,750x – 500x^2.
As the quality control manager of a
snack food manufacturer, you desire
chips that are all roughly the same size.
When measuring for length, do you
want a higher or lower standard
deviation?
Higher
Lower
Lower standard deviation for chip length ensures chips are more consistent and roughly the same size, meeting quality standards.
As the quality control manager of a snack food manufacturer, I desire a higher standard deviation when measuring for the length of chips. A higher standard deviation indicates a greater variability in chip lengths.
While it may seem counterintuitive, having a higher standard deviation allows for a range of chip sizes, accommodating different consumer preferences. Some customers may prefer shorter chips, while others may prefer longer ones.
By allowing for some variation in size, the snack food manufacturer can cater to a broader customer base and increase market appeal.
Additionally, a higher standard deviation can be beneficial for marketing purposes, as it creates an impression of natural, handcrafted chips rather than mechanically uniform ones.
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somebody help me please in the photo
Answer:
93 degrees
Step-by-step explanation:
alternate interior angles are congruent so 39+x=132 x=93
Answer:
Step-by-step explanation:
According to Alternate Interior Angles Theorem (in a graph that shows a transversal crossing two parallel lines, the alternate interior angles are congruent), The angle that includes the sum of 39° and x° is congruent to 132°.
So: 39° + x° = 132°, and x = 93
2x is subtracted from the square of a number
Answer:
let the number be x
x²-2x=0
here it is your quadratic equation
L 10.1.2 Exam: Semester Exam
Find the value of x.
20°
(3x + 2)
O A. 6
O B. 20
O c. 7
O D. 5
Answer:
A
Step-by-step explanation:
The requried simplified value of x in the intersection of two lines is 6.
What are opposite angles?Opposite angles are a pair of angles that are formed when two lines intersect. The two angles are located on opposite sides of the point where the two lines intersect.
Opposite angles are also called vertical angles, and they have equal measures. This means that if we know the measure of one opposite angle, we can find the measure of the other opposite angle by setting them equal to each other.
Here,
When two lines intersect, opposite angles are equal. So, we can set the two opposite angles equal to each other and solve for x.
Given that the opposite angles are 3x + 2 and 20 degrees, we have:
3x + 2 = 20
Subtracting 2 from both sides, we get:
3x = 18
Dividing both sides by 3, we get:
x = 6
Therefore, the value of x is 6.
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Write as a money amount and as a decimal in terms of dollars 42\100
Need help plz I’ll give you Brainly
NO LINKS!! PART 2a. Find the measure of the arc or angle indicated.
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Answer:
2) 198°
4) 99°
6) 90°
Step-by-step explanation:
The relevant relations are ...
an inscribed angle is half the measure of the arc it interceptsthe total of arcs around a circle is 360°__
2) Arc WXY = 2×angle WDY = 2(99°) = 198°
__
4) Arc CLE is 2×angle CDE = 2(97°) = 194°
Arc DE = 360° -72° -194° = 94°
angle C = (arc DE +arc EL)/2 = (94° +104°)/2 = 99°
__
6) angle C = (360° -arc EC -arc CD)/2 = (360° -71° -109°)/2 = 90°
Answer:
2.
Given:
m arc WXY=2×99°=198°[central angle is equal to the twice of its inscribed angle]
4.Arc CLE =2x< CDE = 2×97° = 194°[central angle is equal to the twice of its inscribed angle]
again
Arc DE =360° -72° -194° = 94°[from complete turn]
and
angle C =½ (arc DE +arc EL) =½ (94° +104°) = 99°
6) angle C =½ (360° -arc EC -arc CD)
=½ (360° -71° -109°)= 90°
Need help ASAP!
What is the volume of the right rectangular prism?
9 mm
6 mm
8 mm
O 23 mm
O 46 mm
O 432 mm
O 864 mm
Answer:
He's correct its 432
Step-by-step explanation:
Find the area of the parallelogram in square meters
Answer: 27
Step-by-step explanation:
9*3
There are 5 dogs and 20 cats. What fraction of pets are dogs?
Answer:
1/4
Step-by-step explanation:
5/20= 1/4
Answer:
1/5th of them are dogs
Step-by-step explanation:
5+20= 25
5/25 can be reduced to 1/5
SOLVE THE SYSTEM USING ELIMINATION!!!!
HURRY ILL GIVE BRAINLIEST!!
Answer:
(5,3)
Step-by-step explanation:
add the equations to eliminate to x's and get 8y=24
divide both sides by 8 to get y=3
then substitute in -2x+3(3)=-1 to solve for x
so x=5 so the solution is (5,3)
Answer:
[tex]x=5 \\y=3[/tex]
Step-by-step explanation:
[tex]-2x+3y=-1\\2x+5y=25[/tex]
Add these equations to eliminate x:
[tex]8y=24[/tex]
Then, solve [tex]8y=24[/tex] for y:
[tex]8y=24[/tex]
[tex]\frac{8y}{8} =\frac{24}{8}[/tex] (divide both sides by 8)
[tex]y=3[/tex]
Now let's find the value of x:
Substitute 3 for y in [tex]-2x+3y=-1[/tex]
[tex]-2x+(3)(3)=-1[/tex]
[tex]-2x+9=-1[/tex] (simplify both sides of the equation)
[tex]-2x+9+-9=-1+-9[/tex] (add both sides by -9)
[tex]-2x=-10[/tex]
[tex]\frac{-2x}{-2} =\frac{-10}{-2}[/tex] (divide both sides by -2)
[tex]x=5[/tex]
Therefore, the value of x = 5 and y = 3
Which of the following equations will have a negative solution?
Answer:
The third equation, [tex]7\frac{1}{2} +m = 4\frac{2}{3}[/tex].
Step-by-step explanation:
In this question, we have to solve the equation for each of the options and after doing so we will see that the only option that will have m equal a positive number is the third option. Here is how we solve that equation:
[tex]7\frac{1}{2} +m = 4\frac{2}{3} \\m = 4\frac{2}{3} - 7\frac{1}{2}\\m = -2\frac{5}{6}[/tex]
Caroline puts $400 into a savings account that earns 6% annually. Write a function that represents this situation, where t is the time in years. Solve algebraically after how many years she will get $1200 in her account (round it to the nearest year).
Answer: 19 years
Step-by-step explanation:
Given
Amount invested [tex]\$400[/tex]
Rate of interest [tex]R=6\%[/tex]
after 1-year amount becomes
[tex]A=400\left (1+6\%\right)\\A=400\left (1+0.06\right)\\A=400\times 1.06\\A=\$424[/tex]
After n years it is
[tex]A=400\left (1.06\right)^n[/tex]
Sum accumulated is [tex]\$1200[/tex]
[tex]\Rightarrow 1200=400\left(1.06\right)^n\\\Rightarrow 3=\left(1.06\right)^n\\\text{Taking log both sides}\\\Rightarrow n=\dfrac{\ln 3}{\ln 1.06}\\\\\Rightarrow n=18.85\approx 19\ \text{years}[/tex]
4053 x 6
...........
Answer:
24318
Step-by-step explanation:
That's all what you were asking for?
50 POINTS
What is the correct reason for statement 2?
In ΔWXY, the measure of ∠Y=90°, YX = 40, XW = 41, and WY = 9. What ratio represents the cosine of ∠W?
Answer:
[tex]\cos(W) = \frac{9}{41}[/tex]
Step-by-step explanation:
Given
[tex]\angle Y = 90^o[/tex]
[tex]YX = 40; XW = 41; WY = 9[/tex]
Required
Determine [tex]\cos(W)[/tex]
The question is illustrated with the attached image.
So:
[tex]\cos(W) = \frac{Adajacent}{Hypotenuse}[/tex]
[tex]\cos(W) = \frac{WY}{XW}[/tex]
This gives:
[tex]\cos(W) = \frac{9}{41}[/tex]
How high is the end of the ladder against the building?
Answer:
D.
Step-by-step explanation:
its a right triangle, so we can use the pythagorean theorem to find h
(pythagorean theorem is a^2+b^2=c^2, c is the hypotenuse)
h^2+4^2=13^2
h^2+16=169
h^2=153
h=sqrt153
h≈ 12.4ft
Your homeowner’s policy has a premium of $150, a deductible of $5000, and a limit of $300,000. Your home suffers $500,000 in damages. How much will you pay?
The amount that the person get after he home suffers $500,000 in damages is $20000.
What is deductible amount?Deductible amount is the amount which is paid by one in the starting of any policy.
The homeowner’s policy has a premium of $150. Thus, the amount paid in a year is,
[tex]150\times12=1800[/tex]
The home suffers $500,000 in damages and the deductible is of $5000. Thus, the amount remain is,
[tex]A=500000-5000\\A=495000[/tex]
The limit of the policy is $300000. Thus, the amount will be remained as,
[tex]A=495000-300000\\A=195000[/tex]
If we include the deductible amount, then,
[tex]A=195000+5000\\A=200000[/tex]
This amount does not include the premium paid by the homeowner. Hence the amount that the person get after he home suffers $500,000 in damages is $20000.
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