Answer:1 is exponential. 2 is linear. 3 is neither. 4 is linear. 5 is linear. 6 is exponential. 7a is exponential. I think 7b could be 10x + y = 10 but I'm not too sure. 7c is (8,4).
Step-by-step explanation:1. the coordinates are moving in an exponential way or something im not sure the correct wording but that is what exponential graphs look like. 2 is a straight line so it is linear. 3 is neither because the graph isn't exponential or linear. 4 is linear because the coordinates are subtracting at the same number. 5 is linear for the same reason at 4. 6 is exponential because the coordinates are multiplied by 2 each time. 7a is exponential because the coordinates are divided by 2 each time. 7b I'm not sure on. 7c is 8/4 because August is the 8th month and the month before (7) is 8 so 8 divided by 2 equals 4. So the 8th month would have to be 4. I hope that helps!
The graph of which function has a minimum located at (4, –3)?
f(x) = one-halfx2 + 4x – 11
f(x) = –2x2 + 16x – 35
f(x) = one-halfx2 – 4x + 5
f(x) = 2x2 – 16x + 35
The parabola with the minimum at (4, -3) is the third option:
[tex]y = 0.5*x^2 - 4x + 5[/tex]
Which of the given parabolas has a minimum at (4, -3)?
Remember that for a parabola of the form:
[tex]y = a*x^2 + b*x + c[/tex]
If a > 0, the minimum is at the x-value of the vertex:
[tex]x = \frac{-b}{2a}[/tex]
If a < 0, there is no minimum (so we discard option 2).
Taking the third option:
[tex]y = 0.5*x^2 - 4x + 5[/tex]
The x-value of the vertex is:
[tex]x = \frac{-(-4)}{2*0.5} = 4[/tex]
As expected.
To get the y-value of the vertex (and minimum) we just evaluate the parabola equation in x = 4.
[tex]y = 0.5*(4)^2 - 4*4 + 5 = -3[/tex]
So the minimum is at (4, -3), as expected, so that is the correct option.
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Please help! Multiply the following two numbers in scientific notation.
Answer:
d) 5.88×10^9
Step-by-step explanation:
Answer:
d) 5.88 × 10⁻⁹
Explanation:
[tex]\rightarrow \sf \left(1.2\cdot 10^7\right)\left(4.9\cdot 10^2\right)[/tex]
[tex]\sf apply \ exponent \ rule : a^b + a^c = a^{b + c}[/tex]
[tex]\rightarrow \sf 1.2\cdot \:4.9\cdot \:10^{7}\cdot \:10^{2}[/tex]
[tex]\rightarrow \sf 1.2\cdot \:4.9\cdot \:10^{7+2}[/tex]
[tex]\rightarrow \sf 1.2\cdot \:4.9\cdot \:10^9[/tex]
[tex]\rightarrow \sf 5.88 \cdot \:10^9[/tex]
Determine if the lines through each set of ordered pairs are parallel, perpendicular, or neither. Explain your answer. Ordered pairs: (8, 3) (-2, 5) and (-2, -5) (-1, -10)
Considering the slope of the lines, it is found that the lines going through the points are neither parallel nor perpendicular.
When are lines parallel, perpendicular or neither?The slope, given by change in y divided by change in x, determines if the lines are parallel, perpendicular, or neither, as follows:
If they are equal, the lines are parallel.If their multiplication is of -1, they are perpendicular.Otherwise, they are neither.In this problem, the slopes are given as follows:
m1 = (5 - 3)/(-2 - 8) = -2/10 = -1/5 = -0.2.m2 = (-10 - (-5))/(-1 -(-2)) = -5/1 = -5.The multiplication is of 1, not -1, hence they are neither parallel nor perpendicular.
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which statements about square roots are true ?check all that apply
A boat is heading towards a lighthouse, where Mason is watching from a vertical
distance of 122 feet above the water. Mason measures an angle of depression to the
boat at point A to be 16°. At some later time, Mason takes another measurement and
finds the angle of depression to the boat (now at point B) to be 66°. Find the distance
from point A to point B. Round your answer to the nearest foot if necessary.
The distance between point A and point B is 371 ft if the Mason measures an angle of depression to the boat at point A to be 16°.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
A boat is heading towards a lighthouse, where Mason is watching from a vertical distance of 122 feet above the water. Mason measures an angle of depression to the boat at point A to be 16°.
We can draw the above situation as a form of a right-angle triangle.
From the figure, the distance between AB is x ft
From the right angle triangle DBC:
tan66 = 122/CB
CB = 54.31 ft
From the right angle triangle DAC
tan16 = 122/AC
AC = 425.46 ft
x = AC - CB
x = 425.46 - 54.31
x = 371.15 ft ≈ 371 ft
Thus, the distance between point A and point B is 371 ft if the Mason measures an angle of depression to the boat at point A to be 16°.
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Show how you would convert 500 A.U. into light-years.
Someone please help I’m so lost
Answer:
0.00790625
Step-by-step explanation:
499.9997656975
Astronomical unit
=
0.00790625
Light-year
Formula
for an approximate result, divide the length value by 63240
What two numbers differ by 46. (29,17,38,71,35,63,24)
Answer: 63 and 17 differ by 46.
Step-by-step explanation:
63-17=46
Subtraction is what you do when trying to find the difference of something.
Solve the proportion for x. When applicable, simplify all radicals and show all of your
3/X = x/4
The simplified radical for the given equation is 2√3.
The given equation is [tex]\frac{3}{x} =\frac{x}{4}[/tex].
What are radicals?Radical of any number is the same as the root of the number. The root can be a square root, cube root, or in general, it is nth root. Thus, any expression or number that uses a root is known as a radical.
To compute for the values of x given the proportion, we can cross-multiply both sides of the equation as follows:
[tex]\frac{3}{x} =\frac{x}{4}[/tex]
⇒x×x=3×4
⇒x²=12
⇒x=±√12
From this, we can see that the solutions for the equation are the positive and negative roots of 12.
By simplifying the radical, we get √12 = √(2² x 3) = 2√3
Therefore, the simplified radical for the given equation is 2√3.
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You have a coupon for $5 off an oil change. When you arrive at the auto repair
shop, you learn that the store is holding a customer appreciation sale, and all
customers will receive 10% off the cost of the repair. Write a function p (x) that
represents how much you would pay if you use the coupon first, followed by
applying the discount from the repair shop.
The function that represents how much you would pay is:
p(x) = (x - $5)*0.9
How to find the function?
Let's say that the cost of the repair is x.
First, we apply the coupon, so we discount $5 for the cost.
x - $5.
Then we apply another discount of the 10%, this is written as:
(x - $5)*(1 - 10%/100%)
(x - $5)*(1 - 0.1)
(x - $5)*0.9
Then the function that represents how much you would pay is:
p(x) = (x - $5)*0.9
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Hey y’all I need this answer quickly!!!
3/4 - 1/5
Answer:
[tex]\sf \dfrac{11}{20} \quad or \quad 0.55[/tex]
Explanation:
[tex]\rightarrow \sf \dfrac{3}{4} - \dfrac{1}{5}[/tex]
make the denominators same by lcm
[tex]\rightarrow \sf \dfrac{5(3)}{20} - \dfrac{4(1)}{20}[/tex]
expand the following
[tex]\rightarrow \sf \dfrac{15}{20} - \dfrac{4}{20}[/tex]
Join the fractions together
[tex]\rightarrow \sf \dfrac{15-4}{20}[/tex]
Subtract the integers
[tex]\rightarrow \sf \dfrac{11}{20} \quad or \quad 0.55[/tex]
Answer:
11/20 or 0 whole 11/20 or 0.55
Step-by-step explanation:
[tex]3/4 - 1/5[/tex]Find the least common multiple (LCM) of 4 and 5 at first:
We can't do the LCM of 5 and 4,so just multiply them, 5*4 = 20
Now,
For 3/4 : divide 20 by 4,then multiply the result by 3.For 1/5 : divide 20 by 4, then multiply the result by 1. Simple!
[tex] \cfrac{15 - 4}{20} [/tex]Subtracting the numerators,
[tex] \boxed{\cfrac{11}{20} }[/tex]As a whole number:
[tex]\boxed{0 \cfrac{11}{20} }[/tex]As a decimal:
[tex]\boxed{0.55 }[/tex]With the definition of the derivative, determine the formula logx!
Answer:
sorry i dont know the answer .
Pls explain this to me, I don't understand why the answer is a^3 +b^3 and not a^3-b^3
Answer:
[tex](a+b)(a^2-ab+b^2)=a^3+b^3[/tex]
Step-by-step explanation:
Given expression:
[tex](a+b)(a^2-ab+b^2)[/tex]
Using the Distributive Property Law, expand the brackets:
[tex]\implies a(a^2-ab+b^2)+b(a^2-ab+b^2)[/tex]
[tex]\implies a^3-a^2b+ab^2+a^2b-ab^2+b^3[/tex]
Group like terms:
[tex]\implies a^3+b^3-a^2b+a^2b+ab^2-ab^2[/tex]
As -a²b+a²b=0 and ab²-ab²=0 then:
[tex]\implies a^3+b^3[/tex]
How have humans contributed to the growing population of Nomura’s jellyfish?
Answer:
Human coastal development has also helped jellyfish thrive. The structures and construction that we have placed in the water, such as piers, marinas, oil platforms, artificial reefs, refuse, rubble, aquaculture pens and structures, etc. provide an abundance of habitats for polyps to settle on.
I keep getting this question wrong
what is the value of k? ____ units
Answer:
2
Step-by-step explanation:
Corresponding sides are proportional in these similar triangles.
__
short side/long side = k/4 = 4/8
k = 4(4/8) . . . . multiply by 4
k = 2
_____
Additional comment
The lengths of the hypotenuses can be found the same way, or using the Pythagorean theorem. Using side ratios, we have ...
l² = k(k+8) = 2(10) = 20 . . . . from MN/MO = ML/MN
l = 2√5
m² = 8(8+2) = 80 . . . . from LN/LO = LM/LN
m = 4√5
The similarity statements are ...
ΔLMN ~ ΔLNO ~ ΔNMO
PLEASE ANSWER ASAP!!!!!!!!!!
The graph of a cosine function has an amplitude of 3, a vertical shift of 1, and a period of 4. These are the only transformations of the parent function.
Use the Sine tool to graph the function.
The first point must be on the midline, and the second point must be a maximum or minimum value on the graph closest to the first point.
(please include a graph when you answer)
The equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.
What is sin function?It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.
As we know the sin function is represented by:
y = Asin(Bx) + C
Here,
A = The amplitude = 3
C = The vertical shift = 1
B - The period in terms of π
B = 2π/amplitude
B = 2π/4
B = π/2
The becomes:
[tex]\rm y = 3sin(\dfrac{\pi }{2}x)+1[/tex]
Thus, the equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.
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URGENT PLEASE DUE TONIGHT ;(( functions
The value of (f/g)(-1) is 0, value of (g . f) (2) is -3√3, the value of (g - f)(-1) is √15, and the value of (g + f) (2) is √3 - 3
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have two functions:
f(x) = 1 - x²
g(x) = √(11 - 4x)
f(-1) = 0
g(-1) = √15
f(2) = -3
g(2) = √3
(f/g)(-1) = f(-1)/g(-1) = 0/√15 = 0
(g . f) (2) = g(2)f(2) = (√3)(-3) = -3√3
(g - f)(-1) = g(-1) - f(-1) = √15 - 0 = √15
(g + f) (2) = g(2) + f(2) = √3 + (-3) = √3 - 3
Thus, the value of (f/g)(-1) is 0, value of (g . f) (2) is -3√3, the value of (g - f)(-1) is √15, and the value of (g + f) (2) is √3 - 3
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Peter works as a dishwasher and earns 7.30 /h. He also receives 7% of the gratuities earned by all the staff. Two weeks ago he worked 32 hours and the gratuities totalled 1587.30. What was Peter's gross pay?
Peter's gross pay will be 1820.9.He put in 32 hours of work two weeks ago, and the tip money came to $1587.30.
What is gross pay?Before taxes, benefits, and other payroll deductions are taken out of an employee's paycheck, that amount is known as their gross pay.
Given data;
Peter earn per hour = 7.30
Gratuities = 7 %
Given condition;
No of hour person work = 32
Gratitutes = 1587.30
Let the gross pay will be x;
x = gratuities + no of hoy\ur work × money earned per hour;
x = 1587.30 + 32 × 7.30
x = 1820.9
Hence,Peter's gross pay will be 1820.9.
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what is 11x2 – 4x = 1?
Answer:
x=5 1/4 or 5.25
Step-by-step explanation:
11x2-4x=1
22-4x=1
22-1-4x=
21-4x=
21=4x
x=5 1/4 or 5.25
Answer:
Using the formula of quadratic equation, we find x = 0.534 and x = -0.17.
Step-by-step explanation:
It is a quadratic equation.
11x² - 4x - 1 = 0
Find the determinant of the quadratic equation.
D = b² - 4ac
D = 16 + 44
D = 60
One of the values of x will be
x = (-b+√D)/2a
x = (4+2√15)/22
x = 0.534
The second value will be
x = (-b-√D)/2a
x = (4-2√15)/22
x = -0.17
The two values of x, from the quadratic formula are 0.534 and -0.17.
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Kiki works in a furniture store. Her base salary is $150 per day, plus 8 percent commission on her sales. She sells several high-priced items.
A 3-column table with 3 rows. Column 1 is labeled Day with entries 1, 2, 3. Column 2 is labeled Item with entries sofa chair, loveseat, couch. Column 3 is labeled Price with entries 350 dollars, 500 dollars, 1,200 dollars.
What is the total amount she earned over these three days?
The amount of money earned by Kiki earned $614 in three days.
What is the salary?The amount paid by any company or industry to the employees after deductions of the several taxes is the salary.
Given that:
Per day salary of Kiki = $150
Commission = 8% of sales
Worth of sold items = $350+$500+$1200 = $2050
Amount of commission = 0.08 x 2050 = $164
Total amount earned in three days = Base salary per day * Number of days + Commission
Total amount earned = 150*3 + 164
Total amount earned = 450 + 164 = $614
Hence, Kiki earned $614 in three days.
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Use set notation to describe the domain and range of each graph. Use set notation to describe the domain and range of each graph .
The range and domain of the graphs have been determined .
What is Domain and Range of a Function ?Domain is the value that can be an input to the function and the range is all the value a function can obtain.
From the given graphs ,
For Graph 1
It can be seen that the line extends from x = -5 to +4
where -5 is not included
therefore the domain is given by
D = { x| -5 < x ≤4}
and the range is
R = {y | -3 < y≤4}
For Graph 2
The input value x extends from -∞ to +∞
so the domain is
D = { x| - ∞ ≤ x ≤ +∞ }
and the range is given by
R = {y | - ∞ ≤ y ≤ 3}
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Sarah made a deposit of $100 into a savings account with 3
percent interest compounded annually. How much money will
the account yield in five years?
(The options are)
A:$97
B:$103
C:$115
D:$116
Answer: D, $116
Step-by-step explanation:
A = 100(1 + 0.03)^5
A = 100(1.03)^5
A = 100(1.1593)
A = 115.92
Hope this helped!
What is the y-value in the solution to this system of linear equations?
4x + 5y = -12
-2x + 3y = -16
O-4
O-2
O2
O 5
Step-by-step explanation:
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which wifi standards use the 2.4ghz frequency
The standards that use 2.4 GHz are:
IEEE 802.11bIEEE 802.11gIEEE 802.11n (it uses both 2.4 GHz and 5 GHz)IEEE 802.11ax (it uses both 2.4 GHz and 5 GHz)What is a wifi standard?
A wifi standard defines two characteristics of the wi-fi network, which are speed and frequency.
Such that there are two common frequencies, 2.4 GHz (usually with larger speed) and 5 GHz (usually with lower speed)
The standards that use 2.4 GHz are:
IEEE 802.11bIEEE 802.11gIEEE 802.11n (it uses both 2.4 GHz and 5 GHz)IEEE 802.11ax (it uses both 2.4 GHz and 5 GHz)If you want to learn more about wifi:
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The interest on Rs. 300 for 5 years is Rs. 37.50. What will be the interest on Rs. 100 for the same years?
Answer:
the interest for 100 in 5 years us 12.5
A school stores expenses and sales for a three-month period are shown in the table below. Month Expense Sales September $125.00 $47.00 October$0.00 $65.00 November $57.00 $28.00 Based on the data in the table, what is the loss or pro t for the store for the three-month period? A. $182.00 loss B. $42.00 loss C. $15.00 profit D. $140.00 profi
t
The school store is in $42 loss , Option B is the correct answer.
What is Profit and Loss ?When the sales is more than the expenses then it is called profit and vice versa is called Loss.
The sales and expenses for three months are given
To calculate overall Profit/Loss
Total Expenses = $125 + $0 +$ 57 = $182
Total Sales = $47 +$65 + $28 = $140
Therefore as sales is less than the expense , The school is in loss
Loss = $ 182 -$ 140 = $42
Thus Option B is the correct answer.
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working together, rocco and giulia can paint a room in 3 hours. it would’ve taken rocco 7 hours to do the job alone. which equation can be used to determine r, giulia’s rate of work in parts per hour?
Answer:
1/7 + r = 1/3
Step-by-step explanation:
Rocco takes 7 hours to do the job.
In 1 hour, Rocco does 1/7 of the job.
Rocco's rate is 1/7 job per hour.
It takes Giulia x hours to do the job.
In 1 hour, Giulia does 1/x of the job.
Let r = 1/x. Giulia's rate is r part of the job per hour.
Together, Rocco and Giulia take 3 hours to do the job.
In 1 hour, Rocco and Giulia do 1/3 of the job.
Together, their rate is 1/3 of the job per hour.
1/7 + r = 1/3
help please
what is the answer?
Answer:
y = 25°
Step-by-step explanation:
115° and x are a linear pair and sum to 180° , so
x + 115° = 180° ( subtract 115° from both sides )
x = 65°
the sum of the 3 angles in the triangle = 180° , then
x + x + 2y = 180°
65° + 65° + 2y = 180°
130° + 2y = 180° ( subtract 150° from both sides )
2y = 50° ( divide both sides by 2 )
y = 25°
I have to get this done bc its the last day of school fm. So please help me :)))
Answer: it is the median
Step-by-step explanation:
Answer:
it is the Mode,Median,and Mean.
Step-by-step explanation:
There are ALWAYS three measures of the “center"
Its math please help
Answer:
g
Step-by-step explanation:
for this function, we put in the value of "g" (because it is the cause of the function--it is the independent variable [it changes; and it doesn't rely on something else to change] )
so, because the part independently changing is the gas used, that is our input of this graph.
(you can imagine this to be a graph, which typically has the independent variable that we are directly changing--x--along the x-axis, which is where we would place g.)
hope this helps!!