Step-by-step explanation:
Solve equation [2] for the variable y
[2] y = -4x + 16
// Plug this in for variable y in equation [1]
[1] 4x + 3•(-4x+16) = 32
[1] -8x = -16
// Solve equation [1] for the variable x
[1] 8x = 16
[1] x = 2
// By now we know this much :
x = 2
y = -4x+16
// Use the x value to solve for y
y = -4(2)+16 = 8
Solution :
{x,y} = {2,8}
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Aaron sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
41 visitors purchased no costume.
78 visitors purchased exactly one costume.
10 visitors purchased more than one costume.
If next week, he is expecting 2000 visitors, about how many would you expect to buy more than one costume? Round your answer to the nearest whole number.
Answer:
115
Step-by-step explanation:
41 no costume, 78 exactly one costume, 10 more than one costume.
41+78+\color{steelblue}{10}=
41+78+10=
\,\,\color{indianred}{129}
129
There were a toal of 129 visitors. 10 purchased more than one costume.
Probability the next customer will purchase more than one costume:
\frac{\color{steelblue}{10}}{\color{indianred}{129}}\phantom{=}
129
10
=
\,\,
Out of 2000 new trials, we would expect more than one costume to be selected:
\color{purple}{2000}\times\frac{\color{steelblue}{\color{steelblue}{10}}}{\color{indianred}{\color{indianred}{129}}}=
2000×
129
10
=
\,\,155.038759...
155.038759...
\approx
≈
\,\,155
155
The number of visitors that expect to buy more than one costume will be 155.
What is the expected value?The expected value is given below.
E(x) = np
Where n is the number of samples and p is the probability.
Aaron creates a website where players may trade and purchase these costumes. The numbers below show how many people visited the website and how many costumes were bought in a single day.
The probability of visitors purchasing more than one costume is calculated as,
p = 10 / (41 + 78 + 10)
p = 10 / 129
If next week, he is expecting 2000 visitors. Then the expected value is given as,
E = 2000 x (10 / 129)
E = 155.038
E ≈ 155
The number of visitors that expect to buy more than one costume will be 155.
More about the expected value link is given below.
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a house purchased for 170828 is worth $73828 after 12 years. assuming that the house's value depreciated the same amount from year to year, what was it worth at the end of the year 4? Round to the nearest cent.
Answer:
After four years the house was worth $128,891.03
Step-by-step explanation:
170828(x)^12 = 73828
solve for x
x = 0.932 (House depreciates by 6.8% yearly)
plug in x and change into function and substitute 4 for 12 because it's 4 years
170828(0.932)^4
128891.0334
Answer:
Match the packaging type with the number of seedlings it contains.
gerbera daisy cell pack
gerbera daisy flat
standard flat
standard cell pack
Step-by-step explanation:
Start at the origin. Move 2 units right and 8 units up. What is the ordered pair for this point? pls help ASAP
Answer: (2,8)
Step-by-step explanation:
The origin is the point (0,0), so when you move two units right you land on the x-value of 2. From there you then add 8 units, putting you at the y-value of 8. Therefore, you end with the point (2,8) after this translation.
One half of 4
Plz help I need help
help on this question
Answer:
sec t = 1/(cos t) = 1/(-3/4) = -4/3
Patricia needs 2 pints of purple icing to decorate cupcakes. She will use the following recipe for 1 pint of purple icing.
• 1 pint of white icing
4 1/4 teaspoons of blue food coloring
2 1/2 teaspoons of red food coloring.
explain two different ways for patricia to find total number of teaspoons of blue and red food coloring necessary to make 2 pints of purple icing
Answer:
Step-by-step explanation:
i’m thinking of the second way right now, but one way is doubling the recipe
2 pints of white icing
8 1/2 teaspoons of blue food coloring
5 teaspoons of red food coloring
Which choice is equivalent to the quotient shown here for acceptable values of x?
√8^2 ÷ √3x
PLEASE NO LINK ANSWERS
Answer:
A) [tex]\sqrt{8x/3}[/tex]
Step-by-step explanation:
[tex]\sqrt{8x^{2} } /\sqrt{3x}[/tex]
[tex]\sqrt{8x^{2}/{3x}[/tex]
[tex]\sqrt{8x/3}[/tex]
Therefore, A is correct
Help me please, I need this
321,300,0
Multiply 20x17x15x18x35
20×17= 340
5×18= 90
340+90= 430
answer 430 km
i hope this helps ^^
PLEASEEEEEEEEEEEEE HELPPPPPPPPPPPPPPP AM GOING TO FAIL
Answer:
2b + 10
Step-by-step explanation:
If 50 students were surveyed about their after-school sports, how many students play soccer?
Answer:
15
Step-by-step explanation:
30% is equal to 0.3 as a proportion
Multiply 50 by 0.3 to get the number of students who play soccer.
50 X 0.3 = 15
Answer:
15
Step-by-step explanation:
football and track =50% =25 students
20% of 50 is =10 students then 25 +10 =35-50=15 students which is how many plays soccer
Gail bought 7/8 pound of cheese and Jose bought 1/3 pound of cheese. How much more cheese did Gail buy than Jose?
Answer:
7/8 * 3 = 21/24
1/3 * 8 = 8/24
21-8 = 13
Gail bought 13/24 pound more than Jose
What is the value of f(-10) if f(x) = 4x - 12?
F(-10) means the x value in the equation is -10.
Replace x with -10 and solve:
4(-10) -12 = -40 - 12 = -52
F(-10) = -52
Answer: -52
How to: Use the given functions to set up and simplify f ( − 10 ) .
Have a great day and stay safe ! sorry if im wrong
PLEASE HELP I DON’T UNDERSTAND
Answer:
yea I don't understand either kid, it's upside down.
Step-by-step explanation:
WILL
GIVE
BRAINLIST
FIND THE OPPOSITE OF THE NUMBER
21
Answer:
it's
-21
or 12
which one you mean
What is the value oh x?
Answer:
x
Step-by-step explanation:
djdndjdjdndjdkdjdnfnfjfndndndn b7h
Describe the sequence of transformations from quadrilateral WXYZ to W"X"Y"Z"
Answer:
[tex]G) (x,y)[/tex] → [tex](x-6,y+5)[/tex]━◦○◦━◦○◦━◦○◦━◦○◦━◦○◦━
hope it helps..
have a great day!!
Answer:
i got u i have your email
Step-by-step explanation:
What is the first step in constructing an angle
Answer:
Step 1: Draw the arm PQ.
Step 2: Place the point of the compass at P and draw an arc that passes through Q.
Step 3: Place the point of the compass at Q and draw an arc that passes through P. Let this arc cut the arc drawn in Step 2 at R.
Step-by-step explanation:
Step 1: Draw AB of any length. Step 2: Place the centre of the protractor at A and the zero edge along AB. Step 3: Start with zero near B. Mark point C at 40°.
Exhibit 11-1 Last year, the standard deviation of the ages of the students at UA was 1.81 years. Recently, a sample of 10 students had a standard deviation of 2.1 years. We are interested in testing to see if there has been a significant change in the standard deviation of the ages of the students at UA. Refer to Exhibit 11-1. The test statistic is
Answer:
test statistic = 12.115
Step-by-step explanation:
Given data :
std = 2.1 years
n = 10
( std )^2 = 4.41
determine the test statistic
apply a two-tailed test ( chi squared test for one population variance )
test statistic
λ^2 = [tex]\frac{(n-1)s^2}{3.2761}[/tex] ( Referring to Exhibit 11-1 )
= ( 10 - 1 )*(2.1)^2 / 3.2761
= 12.115
What percent of 186 is 93?
No links please help
Answer: 50%
Step-by-step explanation:
Answer:
What percent of 186 is 93?
answer:50
In this composite function, (g◦f)(x) where f(x)=(X-3) and g(x)=X^2 what is (g◦f)(x) when x=1?
(g◦f)(1)=4
(g◦f)(1)=-4
(g◦f)(1)=-2
(g◦f)(1)=2
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ
Answer:
c) [tex]\frac{x-2}{x+6}[/tex]
Step-by-step explanation:
When given that function (f) is the following,
[tex]f(x)=\frac{x+2}{x^2+4x-12}[/tex]
The wisest move to first make is to factor the expression, factoring is the process by which one rewrites a quadratic expression as the product of two linear expressions,
[tex]f(x)=\frac{x+12}{(x+6)(x-2)}[/tex]
If is given that function (g) is the following,
[tex]g(x)=\frac{4x^2-16x+16}{4x+48}[/tex]
Then one should also factor the expression,
[tex]g(x)=\frac{4(x-2)^2}{4(x+12)}[/tex]
One is asked to find the following,
[tex]f(x)*g(x)[/tex]
To do this operation, one must multiply the two functions together. It is easiest to do so when the functions are in factored form,
[tex]f(x)*g(x)[/tex]
Substitute,
[tex](\frac{x+12}{(x+6)(x-2)})(\frac{4(x-2)^2}{4(x+12)})[/tex]
Simplify, cross out like terms in the numerator and denominator,
[tex]\frac{x-2}{x+6}[/tex]
A flagpole 15 feet tall casts a shadow 9 feet long. Find, to the nearest degree, the angle of elevation of the sun at this time of day ? trigonometry
Answer:
noon 180 degrees from 12 to 12
what directed number is suggested by the statement "I gained 3 pounds "?
Answer:
The directed number suggested is +3.
Step-by-step explanation:
A directed number is one that has either a positive or negative sign, so that it could be easily located on the number line. Thus, the sign shows the direction of the number. Examples are: -2, -1, +5, +6 etc.
From the given question, let the initial weight be represented by W, then:
I gained 3 pounds implies at that; 3 pounds was added to my initial weight. Thus, my present weight is my initial weight + 3 pounds.
i.e I gained 3 pounds ⇒ W + 3
So that the directed number suggested by the statement is +3.
Ronnie's Rentals
charges $25 plus $15 per hour to rent a
chain saw. David rented a chain saw for
5 hours. Write an expression to show how
you could calculate the total amount
David paid.
191
Answer:
P = 25 + (15)n
Total amount paid by David = $100
Step-by-step explanation:
Given:
Fixed cost of renting chain saw = $25
Variable cost of renting chain saw = $15 per hour
Time taken = 5 hour
Find;
Total amount paid by David
Computation:
Assume;
Total amount paid by David = P
Time taken = n
So,
P = 25 + (15)n
P = 25 + (15)(5)
P = 25 + 75
P = 100
Total amount paid by David = $100
Write the explicit equation.
-8, -2, 4, 10
Answer:
a*n = -8 + (n - 1)6
Step-by-step explanation:
Explicit formula:
a*n = a*1 + (n - 1)d
a*1 = first term
n = nth term or the place
d = difference
Set: -8, -2, 4, 10
-8 ---> -2 = 6 added
Fill it in.
a*1 = -8
n = n
d = 6
Solution:
a^n = -8 + (n -1)6
How many 5 digit zip codes are possible? Zero can be a digit.
Answer:
There are ten possible digits (0 to 9).
If they can be repeated, you're looking at 10 * 10 *10 * 10 * 10, or 105
This means 100000 possible zip codes if repeatable.
If not, you're looking at one less each time:
10 * 9 * 8 * 7 * 6
90 * 56 * 6
540 * 56 = 30240 zip codes without any repetitions.
The voltage, V, in an electric circuit is held constant, the current I, is inversely proportional to the resistance, R. If the current is 120mA (milliampere) when resistance is 5 ohms, find the current when the ersistance is 15 ohms.
Answer:
70 amps
Step-by-step explanation:
The current I is inversely proportional to the resistance R
I=k/R (k is the constant of proportionality)
A) I=210 amperes
R=4 ohms
I=k/R
k=I×R
k=210×4=840
B) R=12 ohms
k=840
I=k/R
I=840/12=70 amperes
The current will be 40 mA when the resistance is 15 ohms.
What is Ohms law?Ohms law says that the current running through the conductor is directly proportional to the potential difference across its extremities as long as the temperature and other physical conditions are constant.
Ohms law formula is -
V=IR, Where
Voltage is V and is measured in Volts,
The current flowing through the conductor is I and it represented in amperes and the resistance is R and is measured in ohms.
Given that, the voltage, V, in an electric circuit is held constant, If the current is 120mA when resistance is 5 ohms,
120 mA = 0.12 A
Therefore,
V = IR
V = 0.12 × 5
V = 0.6 volts
Now, when the resistance is 15 ohms, the current will be =
0.6 = I × 15
I = 0.6 / 15
I = 0.04 A
I = 40 mA
Hence, the current will be 40 mA when the resistance is 15 ohms.
Learn more about Ohms law, click;
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help me it’s more but i can’t post it
Answer:
( 2 x + 1 ) ( 3 x + 2)
Step-by-step explanation:
srry, i could only do the first one-
pls help this is due in 10 minutes I don’t wanna fail
Answer:
5.12
6.14
7.36
8.17
9.8
10.24
Help, I need this as quick as possible
Answer:
multiply the top number by 4 also and what ever answer you get by doing 24×4 place that number over 100 and that number will be your percentage