The composite function for the price a loyalty member would pay based on the original price x is C(L(x)) = 0.7803x.
We have been given that
Sales price: S(x) = 0.85%
Loyalty member discount L(S) = 0.85S
Final cost: C(L) = 1.08L
Find out- which is the composite function for the price a loyalty
member would pay based on the original price x?
Sales price: S(x) = 0.85%
Loyalty member discount L(S) = 0.85S
Put the value of S then -
L(S) = 0.85× 0.85x
L(S) = 0.7225x
Final cost: C(L) = 1.08L
Now put the value of L
C(L) = 1.08L
C(L) = 1.08 × 0.7225x
C(L(x)) = 0.7803x
Hence , C(L(x)) = 0.7803x is the composite function for the price a loyalty member will pay given the initial price x.
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Explain what it means when a number pattern has a constant ratio. Write the first four terms of any number pattern that has a constant ratio.
Answer:
B
Step-by-step explanation:
The diameter of a circle measures 18ft what is the circumference of the circle? Use 3.14 for π and do not round
=======================================================
Work Shown:
d = diameter = 18 ft
pi = 3.14 approximately
C = circumference
C = pi*d
C = 3.14*18
C = 56.52
The distance around the circle's edge (aka perimeter) is about 56.52 feet
The result is approximate since pi = 3.14 is approximate.
if the radius is 17inches what is the diameter
l
Answer:
34
Step-by-step explanation:
Because to find the diameter simply multiply the radius by 2
17 x 2 = 34
Hope this helps!
List a specific example with a set and a subset.
Your example needs to be unique and in your own words.
Some examples:
The set of all animals in the world. A subset could be the group of all dogs. The set of all people in a country. A subset would be the group of people in a small town of that same country.Everything in a person's house (set), vs items located inside the person's kitchen only (subset).The set of parallelograms. A subset is the set of all squares.The set of rational numbers, in which the collection of integers is a subset.With each example, any item or person in the subset is also found in the original set (but not vice versa). For example, any dog is an animal but not the other way around.
If you were to draw a venn diagram, then the larger circle is the set of all animals, while the subset of all dogs is a smaller circle drawn completely inside the larger one.
Those examples listed above is of course not the complete list of set & subset combos. Feel free to get creative and think of others.
Find the interquartile range (IQR) of the data in the dot plot below.
1,2,3,3,4,4,4,6
The value of interquartile range (IQR) of the data set which is plotted in the dot plot 1,2,3,3,4,4,4,6 is 1.5.
What is the interquartile range (IQR) of the data?The interquartile range (IQR) of the data is the middle half of the data, which contains 2nd and 3rd quartiles.
Interquartile range is the difference of third quartile and first quartile.
IQR=Q₃-Q₁
In the dot plot below, the data is given as,
1,2,3,3,4,4,4,6
The first quartile is the medium of the lower half, while the third quartile is the medium of the upper half. For the above data,
Q_1=2.5
Q_3=4
Thus, Interquartile range is,
IQR=Q₃-Q₁
IQR=4-2.5
IQR=1.5
Hence, the value of interquartile range (IQR) of the data set which is plotted in the dot plot 1,2,3,3,4,4,4,6 is 1.5.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
B
Step-by-step explanation:
[tex]9 \frac{7}{12} - 4 \frac{3}{12} = 5\frac{4}{12} = 5 \frac{1}{3} [/tex]
alex has 5 t-shirts in the drawer. 2 are white, and the rest are black. He will pick a t-shirt from the drawer without looking, and then without replacing it, will pick a second t-shirt without looking. What is the probability that he will pick a white t-shirt on his first pick and a black t-shirt on his second pick?
Answer:
24%
Step-by-step explanation:
Lets consider it.
2 are white, and 3 are black.
2/5 chance of him getting white, and 3/5 chance of him getting black
So he successfully gets white on his first try.
2/5
Then he successfully gets black on his second try
2/5 * 3/5, or 6/25, or 24% of him getting white, then black.
This is all just middle school math, and I hope it helps :)
9
Triangle UVW, with vertices U(3,-6),
V(9,-8), and W(7,-2), is drawn inside a
rectangle, as shown below.
y
2
1
-2
-1
1
2
3
4
5
6
7
8
9
10
-1
W
-2
-3
-4
-5
-6
U
-7
-8
V
-9
-10
What is the area, in square units, of
triangle UVW?
The Area of Triangle UVW be 16 squared units.
What is Area of Triangle?The area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
Area of triangle I = [tex]\frac{1}{2} *b*h[/tex]
= 0.5 x 4 x 4
= 8 units
Area of triangle II= [tex]\frac{1}{2} *b*h[/tex]
= 0.5 x 2 x 6
= 6 units
Area of triangle III = [tex]\frac{1}{2} *b*h[/tex]
= 0.5 x 2 x 6
= 6 units
Area of rectangle = length x breadth
= 6 x 6
= 36units
Area of triangle UVW = Area of rectangle -(Area triangle I + Area of
triangle II +Area of triangle III)
= 36 - ( 8 + 6 + 6)
= 36 - 20
= 16 square units
Hence the Area of Triangle UVW = 16 square units.
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The difference between two numbers is 10 and their sum is 24. Find the numbers.
Answer: y is 7 and x is 17
Step-by-step explanation:
x is the bigger numbr
y is the smol numbr
x + y = 24
x - y = 10
x = 17
y = 7
Polly has 7 cucumbers to sell at the market. She has 3 times more carrots than cucumbers. She sells 6 carrots at the market. How many carrots does Polly have left
Answer:
15
Step-by-step explanation:
7x3=21
21-6=15
the word times means to multiply a number the said amount of times for example
cat has 5 sticks. Roger has 2 times as many sticks as cat. the equation is 5 × 2 that would equal 10. :)
What is the y-intercept of the line given by the equation y=4.2x - 6.3
Answer:
-6.3
Step-by-step explanation:
4.2x, if x = 0, then y = -6.3
Solve for the rational equation 1/x = x/x+1
Answer:
the answer is x=1/2
Step-by-step explanation:
hope this helps if not let me know have a blessed day
Jeremiah just got hired for a new job and will make $35,000 in his first year. Jeremiah was told that he can expect to get raises of $3,500 every year going forward. How much money in salary would Jeremiah make in his 9th year working at this job?
Answer:
Jeremiah make $66,500 in his 9th year
Step-by-step explanation:
3,500*9=31,500
35,000+31,500=66,500
Answer:
63000
Step-by-step explanation
Read the picture please
Answer:
1100
Step-by-step explanation:
After rounding,
3200 - 2100 = 1100
Find the average rate of change for the function f(x) = 2x + 4 over an interval [2, 6].
Answer:
average rate of change = 2
Step-by-step explanation:
since f(x) is a linear function, then the slope is the measure of the average rate of change of f(x).
note the average rate of change is constant over any closed interval.
the equation of a linear function in slope- intercept form is
f(x) = mx + c ( m is the slope and c the y- intercept )
f(x) = 2x + 4 ← is in slope- intercept form
with slope m = 2
then average rate of change = 2
find area of sector==
Answer:
63.35
Step-by-step explanation:
1. Remember the sector formula which is Ø/360 x pi x radius squared
2. Square the radius (11 in this question)
3. 11 squared is 121
4. Get the answer from the squared radius and multiply it by pi
5. 121 times pi is 380.13
6. Mulitply the final number on that side by the degree over 360
7. 380.13 times 60/360 is 63.35
8. In the end you get 63.35 or if rounding to the nearest tenth 63.4
Hope this helps! Correct me if im wrong! :) Have a nice day!
Mai needs 3 pounds of birdseed to fill all birdeeders in her yard. the store sells birdseed by the ounce 1 pound= 16 ounce how many birdseed does mai need to fill the birdseed
Answer:
3*16= 48 ounce to fill birdseed
Separate 79 into two parts such that 4 times the smaller exceeds the larger by 6.
1. Assign the variables.
2. Write the equations.
3. Solve the system.
4. Answer the question.
39 is separated into two parts 9 and 30
Step-by-step explanation:
The given is:
Separate 39 into two parts
4 times the smaller part exceeds the larger part by 6
Assume that the smaller part is x and the larger part is y
∵ 39 is separate into two parts x and y
∴ x + y = 39 ⇒ (1)
∵ x is the smaller part
∵ y is the larger part
∵ 4 times the smaller part exceeds the larger part by 6
- Multiply x by 4 and subtract y from it to get 6
∴ 4x - y = 6 ⇒ (2)
Now we have a system of equations to solve it
Add equations (1) and (2) to eliminate y
∵ (x + 4x) + (y - y) = (39 + 6)
∴ 5x = 45
- Divide both sides by 5
∴ x = 9
Substitute the value of x in equation (1) to find y
∴ 9 + y = 39
- Subtract 9 from both sides
∴ y = 30
∴ The smaller part is 9 and the larger part is 30
39 is separated into two parts 9 and 30
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What is b and c in a quadratic equation if the equation is y=x2
A quadratic equation graph is a graph depicting the values of all the roots of the quadratic equation.
The value of b and c is zero.
What is the quadratic equation?A quadratic equation is said to be any polynomial equation of degree 2 or an equation that is in the form;
[tex]\rm ax^ 2 + bx + c = 0[/tex]
A quadratic equation graph is a graph depicting the values of all the roots of the quadratic equation.
Let us have a quadratic equation which is;
[tex]\rm x^2+5x+6[/tex]
On comparing with the standard equation of quadratic formula;
a = 1, b = 5, and c = 6
The equation is;
[tex]\rm y=x^2\\\\[/tex]
In this case the value of a = 1, b = 0, and c =0.
Hence, the value of b and c is zero.
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Scientists are conducting trials on a new disinfectant for use in hospitals and doctor’s offices. After conducting several trials, they found that it decreases the presence of bacteria by 35% each second that it is applied to a surface. The next trial will apply it on a desk surface with approximately 20,000 cells of bacteria on it.
Which logarithmic function models the time, , in seconds, it will take the number of cells to decrease to a value of n?
A.
B.
C.
D.
Answer:
Log 0.65(n/20,000)
Step-by-step explanation:
Trust me gang I’m onna online too
please solve for me please be correct
Answer:
70
Step-by-step explanation:
Substitute 4 in for x since x = 4:
5(2(4) + 6)
5(8 + 6)
5(14)
= 70
hope this helps!
The volume of a right cone is 3525\piπ units^3
3
. If its diameter measures 30 units, find its height.
The height of the right cone given its volume and its diameter is 47 units.
What is the height?A cone is a three-dimensional object that has a circular base and a vertex.
Height of the cone = Volume of a cone ÷ 1/3(πr²)
Where:
π = 22/7r = radius = diameter / 2 = 30 / 2 = 15 unitsh = height3525π÷ (1/3 x π x 15²) = 47 units
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Find the exact location of all the relative and absolute extrema of the function. (order your answers from smallest to largest x. ) g(x) = x2 − 4 x
The minima of the quadratic function is at the vertex, it is at (2, -4).
Where are the relative minima/maxima of the function?
First, we can see that our function is a quadratic function of positive leading coefficient. So it opens upwards.
Then we will only have a minima, which is located in the vertex of the parabola.
Remember that for:
y = a*x^2 + b*x + c
The x-value of the vertex is h = -b/2a
Then for g(x) = x^2 - 4x we have:
h = -(-4)/2*1 = 2
And the y-value of the vertex is:
g(2) = 2^2 - 4*2 = -4
Meaning that the minima of the function g(x) is (2, -4).
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The exact location of all the relative and absolute extrema of the function is (2, -4).
Where are the relative minima/maxima of the function?First, we can see that our function is a quadratic function of the positive leading coefficient.
Then we will only have a minimum, which is located in the vertex of the parabola.
The equation of the parabola is;
[tex]\rm y = ax^2 + bx + c[/tex]
The x-value of the vertex is h = -b/2a
Then for g(x) = x^2 - 4x we have:
h = -(-4)/2*1 = 2
And the y-value of the vertex is:
g(2) = 2^2 - 4*2 = -4
Meaning that the minima of the function g(x) are (2, -4).
Hence, the exact location of all the relative and absolute extrema of the function is (2, -4).
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Plxxx help meee (giving brainlyest to the person wit the correct answer)
Answer:
i dont know if im correct cause i know nothing about math
Step-by-step explanation:
18.6? my answer
Answer:
The answer is 24.8
Step-by-step explanation:
after you add the total ans subtract it gives you 24.8
which of the following choices are equivalent to the expression below? check all that apply
x^3 /5
The choices are equivalent to the expression correct choices are A, C, and D.
The given expression is
x^3 /5
What is the expression?
The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols.
What is the power rule?
[tex]a^{\frac{m}{n} =\sqrt[n]{a^m}[/tex]
Therefore the above power rule implies that,
[tex]x^{(\frac{3}{5}) }=\sqrt[5]{x^3}[/tex]
Also, we have the power rule
[tex](a^m)}^n=a^{mn}[/tex]
[tex]x^{\frac{3}5} =(x^3)^{\frac{1}{5}[/tex]
or it can be written as
[tex]x^{\frac{3}{5} =(\sqrt[5]{x})^3[/tex]
The correct choices are A, C, D.
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I need help ;-; .......
Answer:
A & B
Step-by-step explanation:
the rest are incorrect because sinx = 8/15 and cscx = 15/8
UH SORRY I NEED HELP WItH MORE QUeSTIONs !!:)
which coordinate plains contains points 1 1/2 4 -2, -2 1/2
PLEASE ANSWer
Answer:
D
Step-by-step explanation:
The coordinate plane in option D contains both the points (1 1/2, 4) and (-2, -2 1/2).
A baker has 41.6 pounds of flour in a large bag. She wants to divide the flour into equal portions that weigh 2.6 pounds each. How many portions can the baker make from the original amount of flour?
41.6/2.6 = 16
therefore into 16 parts
hope it helps...!!!
NEED HELP! ILL GIVE YOU BRAINLIEST I PROMISE
Use rhombus CUAT to find each value.
If m<TCU = 100, how to find m<CUT
Please dont put a link as an answer⚠︎
Answer:
(2)m<cut = 40
Step-by-step explanation
m<TCU + m<CUA=180°; M<TCU=100°
Then m<CUA=180°-100°=80°
m<CUT = 1/2 M<CUA = 1/2 80°=40°
sorry if it doesnt make any sense
A direct variation includes the points (3,72) and ( – 2,n). Find n.
Answer:
n = -48
Step-by-step explanation:
Use the attachment for a full explanation.
