patternpatternGreat!
The patteren is 1, 4, 9, 16,...
All these numbers are square numbers, which means
1 * 1 = 1
2 * 2 = 4
3 * 3 = 9
4 * 4 = 16
That means
1st term = 1^2
2nd term = 2^2
3rd term = 3^2
4th term = 4^2
so
nth term = n^2
The conjecture is
[tex]a_n=n^2[/tex]The pattern is 100%, 93%, 86%, ...........
Since 93% - 100% = -7%
Since 86% - 93% = -7%
Then this pattern is decreases by 7%
So it is an arithmetic sequence
Its rule is:
[tex]a_n=a+(n-1)d[/tex]Where a is the first term
d is the constant difference
n is the position of the number
Since a = 100%
Since d = -7%
Let us substitute these values in the rule
[tex]a_n=100+(n-1)(-7)[/tex]Simplify it
an = 100% + (n)(-7%) + (-1)(-7%)
an = 100% + (-7n%) + (7%)
Add the like terms
an = (100% + 7%) - 7n%
an = 107% - 7n%
Let us check the rule
What is the 3rd term
n = 3
a3 = 107% - 7(3)%
a3 = 107% - 21%
a3 = 86% which is true
Mai is riding her bicycle she rides at a speed
ANSWER
[tex]3.2hours[/tex]EXPLANATION
Given;
[tex]\begin{gathered} speed=\frac{8km}{hr} \\ distance=25.6km \end{gathered}[/tex]Recall;
[tex]\begin{gathered} time=\frac{distance}{speed} \\ =\frac{25.6}{8} \\ 3.2 \end{gathered}[/tex]Therefore, the time taken is 3.2hours.
If A and B are two disjoint sets with
n(A) = 4 and n(B) = 2, then
n(A −B) =
2
Step-by-step explanation:
n(A-B)
n(4-2)
n(2)
Therefore n(A-B)=2
the altitude of an airplane is decreasing at a rate of 45 feet per second what si the change in altitude of the airplane over a period of 34 seconds
a -1,530
b 79
c -79
d 1530
Answer:
Step-by-step explanation:
d that the answer pls mark me brianlest
Rectangle TUVW with vertices
T(-3,-1), U(0, -2), V(-2, -8), and
W(-5, -7): 90° counterclockwise
T':
U':
V':
W':
for given rectangle TUVW with vertices T(-3,-1), U(0, -2), V(-2, -8), and W(-5, -7): 90° counterclockwise rotation would be,
T': (1, -3)
U': (2, 0)
V': (8, -2)
W': (7, -5)
In this question, we have been given a rectangle TUVW with vertices
T(-3,-1), U(0, -2), V(-2, -8) and W(-5, -7)
We know that for 90° counterclockwise rotation is (x, y) becomes (-y, x)
so, the coordinates of T' would be,
T' = (1, -3)
the coordinates of U' would be,
U' = (2, 0)
the coordinates of V' would be,
V' = (8, -2)
the coordinates of W' would be,
W' = (7, -5)
Therefore, for given rectangle TUVW with vertices T(-3,-1), U(0, -2), V(-2, -8), and W(-5, -7): 90° counterclockwise rotation would be,
T': (1, -3)
U': (2, 0)
V': (8, -2)
W': (7, -5)
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a. cos x b. tan x c. sec x d. cot x Simplify the expression
First, multiply by 1:
cos x * 1 + cos x tan^2 x
Factor cos x out of cos x tan^2 x
cos x * 1 + cos x (tan ^2 x)
Factor again
cos x (1+ tan^2 x)
Rearrange:
cos x (tan^2 x +1 )
Apply Pythagorean identity:
cos x * sec ^2 x
Rewrite Sec x in terms of sin and cos
cos x * (1 / cos x )^2
Apply product rule:
cos x * 1^2 / cos^2 x
cos x * (1/ cos^2 x )
Cancel common factor cos x
1 / cos x
1/cosx = sec x
Answer : sec x (option c)
2, What method of data collection would you use to collect data for a study where adrug was given to 10 patients and a placebo to another group of 10 patients todetermine if the drug has an effecton a patient's illness?A) take a censusb) use sampling c) use a simulation d) perform an experiment e) none
I would say that using a survey gives you the perfect way to collect the data you need for the drug effect. So,
during a span of 2 hours , lalia played her video games for 50 minutes . what percentage of time was spent on the game
Total time = 2 hours
Time playing video games = 50 minutes
We have to write an equation:
Total time (2hours) multiplied by the percentage in decimal form (x) must be equal to 50 minutes
Time must be in the same unit ( minutes)
since 60 minutes =1 hour
2 hours = 2 (60) =120 minutes
Back with the equation:
120 x = 50
Solving for x
x = 50/120
x = 0.42
In percentage form:
0.42 x 100 = 42%
Suppose demand, d, for a company’s product at cost, x, is predicted by the function ()=−.+,d of open x close equals negative , 0.25 , , x squared , plus , 1,000, and the price, p, that the company can charge for the product is given by ()=+. Find the company’s revenue function.
Enter your answer.
This company’s revenue function is given by −0.25x³ - 4x² + 1000x + 16,000.
How to determine company's revenue function?Mathematically, the amount of revenue that's being generated by a company or business organization can be calculated by using the following function (expression):
Revenue = price × demand
R(x) = p(x) × d(x)
The demand (d) for this company’s product at cost (x) is given by this demand function:
d(x) = −0.25x² + 1,000
Also, the price (p) in dollars that this company can charge for its product is given by this price function:
p(x) = x + 16
Substituting the parameters into the revenue function, we have;
Revenue function, R(x) = p(x) × d(x)
Revenue function, R(x) = (−0.25x² + 1,000) × (x + 16)
Revenue function, R(x) = −0.25x³ - 4x² + 1000x + 16,000.
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Complete Question:
Suppose demand, d, for a company's product at cost, x, is predicted by the function, d(x) = −0.25x² + 1,000, and the price, p, that the company can charge for the product is given by p(x) = x + 16. Find the company's revenue function.
2x^2+13x--24=0 solve for x
Answer:
0
Step-by-step explanation:
1) Which situation could the integer -50 represent?
A) An increase of $50 in a bank account
B) The temperature on a warm fall day
C) The distance driven on the way to the beach
D) A decrease of 50 employees
a recipe calls for 40 ounces of rice. how many grams of rice dose the recipe require
Answer:
1133.98
almost 1134 grams :)
Step-by-step explanation:
multiply by 28.35 to get the answer :)
Answer:
1133.98
Step-by-step explanation:
Hope it helps and have a nice day!!!!! :)
BRAINIEST IS APPRECIATED!!!
Which of the following could be the first step when solving the equation 4-3(x+6)=28
Answer:
I don't know the options, but the first step would definitley be distributing the -3 over the parantheses --> -3x - 18
URGENT 50 points
WRITE AS AN ORDER OF OPERATIONS EXPRESSION, THEN SIMPLIFY IT.
Chloe owed the bank $3500 after taking out a small loan. She currently works and
makes $24 per hour. She works for 6 hours a day. After 25 days, will Chloe still owe the
bank money?
Answer:
She will no longer owe the bank any money. She will have 100 dollars in profit.
Step-by-step explanation:
$24 x 6 hours a day means she makes 144 dollars a day.
144 dollars times 25 means she makes 3600 dollars over the 25 day period.
3600-3500(the amount she owed) is 100 dollars
Which line is perpendicular to a line that has a slope
of 1?
Oline MN
Oline AB
Oline EF
Oline JK
JK is perpendicular to a line that has a slope
What is Slope?
The ratio of how much y grows as x grows by a certain amount is known as a line's slope. The slope of a line indicates how steep it is, or how much y rises as x rises. Anywhere along the line, the slope remains constant (the same).
Two lines, L1 and L2, with slopes m1 and m2 are perpendicular if
m1 x m2 = -1.
In our case m1 = 1
1 x m2 = -1
m2 = -2
so the slope of the perpendicular line is -2.
( -2 x (1) = -1).
As x increases, the line with a slope of -2 increases. Line JK is the only line displayed that fits this. Line AB cannot be the solution because it is "falling" as x grows.
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A technical machinist is asked to build a cubical steel tank that will hold 415 L of water.Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.001 m.
we have
1 cubic meter = 1000 L
x cubic meter = 415 L
then:
[tex]\begin{gathered} 1000\times x=415\times1 \\ 1000x=415 \\ \frac{1000x}{1000}=\frac{415}{1000} \\ x=0.415 \end{gathered}[/tex]The volume of a cube with length x is:
[tex]\begin{gathered} x^3=0.415 \\ \sqrt[3]{x^3}=\sqrt[3]{0.415} \\ x=0.746 \end{gathered}[/tex]answer: The smallest possible inside length of the tank is 0.746 m
PLSSSSSSSSS HELP DUE SOON!!!
The problem can be modeled with the linear equation:
2c - 1.5 = 6
Where c is the old amount of chips.
So the correct option is the last one.
Which is the correct expression?First, let's define the old amount as the variable "c".
1.5 less than twice the old amount is then written as:
2c - 1.5
And the total text says:
"1.5 less than twice the old amount is equal to 6"
So we have an equation, that equates the above expression and the number y, so we can write the linear equation:
2c - 1.5 = 6
This is the last option
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Convert 72 weeks into hours.
Please explain how to get the answer.
The area of the given diagram is 270sq.metre
What is Area of Rectangle?The area of Rectangle is length times of width.
In the given figure there we can see three rectangles.
Let us divide each length to three parts.
The length 27m is divided into 3 we get
27/3=9m.
Hence each rectangle has 9m of length.
The width 30m is divided into 3 parts we get,
30/3=10m.
Hence area of each rectangle is 9×10=90 sq. m
Total area of diagram will be
3 times of 90.
270 sq.m.
Hence the area of the given diagram is 270sq.metre
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what’s the answer to this?
The correct option is B: They both are correct. The function g is the function f translated 4 units and it is also the function f translated 4 units to the left.
What is referred as the translation?In geometry, translation refers to a function that shifts an object a specified distance. The component is not otherwise altered. It has not been rotated, mirrored, or resized.When performing a translation, this same initial object is referred to as the pre-image, as well as the object after translation is referred to as the image.for the given question.
The parent function is f(x) = x + 1.
The translated function is g(x).
As, it is shown in the graph that there is a shift of 4 units up as well as 4 units to the left of the original line.
It mean both Veronica and Drawn are correct.
Thus, The function g is the function f translated 4 units and it is also the function f translated 4 units to the left.
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if the textbook committee makes a histogram of the sample data and it is single-peaked with no outliers, are the conditions of randomness and normality of the population met for this test?
Yes, conditions of randomness and normality of the population met for this test.
The textbook committee made a histogram of the sample data, and it was single peaked with no outliers. The conditions of randomness and normality of the population met for this test, the reason is that it was a random sample, and the plot of the sample data has no outliers.
So, yes, conditions of randomness and normality of the population met for this test.
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What is the domain of f(x)?
(-6 , 6)
[-4 , 5]
[-6 , 6]
(-4 , 5)
Answer:
{−6,−4}
Step-by-step explanation:
the domain is all the x- values of the points.
so -6 and -4 are repeated so they are the domain of the points.
If you love codes answer this question!
Answer:
Is it B
Step-by-step explanation:
Find the value of each variable
Find the value of x that will make A||B.
X = ?
Answer:
x = 12
Step-by-step explanation:
Since they are opposite exterior angles, they are congruent, so you set them equal to each other
5x = 4x + 12
- 4x - 4x
x = 12
For A and B to be parallel then the angle (4x+12)⁰ and the angle opposite to angle (5x)⁰ should be equal since the two are congruent to each other.
therefore
5x = opposite angle=(4x+12)
=> 5x=(4x+12)
=>5x-4x= 12
therefore
X =12⁰
A hockey player takes a shot 20 feet away from a 5-foot goal. If the puck travels at a 15° angle of elevation toward the center of the goal, will the player score?
EXPLANATION
Let's see the facts:
shoot = 20 feet
goal = 5 foot
Let's draw the statement:
Since we are finding the side opposite the given angle and know the side adjacent, we can use the Pythagoras Theorem to find the needed value.
[tex]\text{Tan=}\frac{Opposite}{\text{Adjacent}}[/tex]Replacing terms:
[tex]\text{Tan 15}=\frac{x}{20}[/tex]Isolating x:
[tex]20\cdot\text{Tan 15= x}[/tex]Switching sides and simplifying:
[tex]x=5.35\approx5.4[/tex]The player will not score because 5.4 is greater than 5
What is output by the following code? Select all that apply.
c = 2
while (c < 12):
print (c)
c = c + 3
Step-by-step explanation:
that is not mathematics, and I am not sure, if you listed everything, but the result to such a loop is
25811
because it first prints the Imuran content of c (2).
then it increases the content of c by 3. c is now 5
then it checks that 5 is still smaller than 12 (yes it is), and it prints 5.
then it prints 8. then 11. and then c becomes 14 and is therefore larger than 12. and the loop ends.
I don't know what your particular print command does, but I assume it is just a basic "bring the parameter to output". in that case it will write all numbers right after the previous number.
hence : 25811
There are 840 tickets available for a concert.
1/7 of these tickets have not been sold.
How many of the tickets have been sold?
Answer:
720
Step-by-step explanation:
If 1/7 of the tickets have not been sold, 6/7 of the tickets have.
840 * 6/7
720
Help da brother out.
Answer:
top: y=f(x)=-2x+5
middle: y=4x
last: y=(9/2)x-3
Will give brainliest
A family purchased tickets to a museum and spent a total of $38.00. The family purchased 4 tickets. There was a $1.50 processing fee for each ticket. Write and solve an equation that can be used to find x, the cost of one ticket to the museum.
answer:
8.00 dollars
Step-by-step explanation:
4 x 1.50 = 6.00
38,00 - 6.00 = 32.00
32.00 divided by 4= 8.00
what is the slope of a line perpendicular to the line whose equation is 15x + 12y = -108
First, rewrite the equation in its slope intercept form:
(slope intercept form: y = mx + b where m = slope ; b = y-axis intercept)
15x + 12y = -108
Subtract 15x from both sides:
15x + 12y - 15x = -108 - 15x
12y = -108 - 15x
Divide both sides by 12:
12y/12 = (-108 - 15x)/12
y = -5x/4 - 9
As you can see the slope of this line is -5/4
Now, two lines are perpendicular if:
m1*m2 = -1
Where:
m1 = Slope of the line 1
m2 = Slope of the line 2
m1 in this case would be -5/4
so:
-5/4* m2 = -1
Solving for m2:
m2 = -1/(-5/4) = 4/5 = 0.8