If the above trend continues, the total number of tickets that will be sold by Cher for the Sixth Decade Still Touring" tour is: 871 tickets.
What is a trend in Math?
In mathematics, a trend is often a pattern of occurrence often depicted with the use of a graph. In this case, the pattern is an arithmetic sequence.
Note that the lowest number of tickets we can get to before we can no sell again is 1.
We get this by dividing 133 tickets by 11 (rate of decline).
133/11 = 12 (remaining 1)
Spread out, the sequence will appear as follows:
1, 12, 23, 34, 45, 56, 67, 78, 89, 100, 111, 122, 133.
Recall that the task is to determine the total number of tickets sold. We can either do this directly or use the Sum of an Arithmetic Sequence.
That is 1 + 12 +23 +34 +45 +56 +67 +78 +89 +100 +111 +122 +133 = 871; or
The formula for the sum of an Arithmetic Sequence:
Sn = n ((a₁ + aₙ)/2) Where
n is the number of terms and
a1 is the value of the first term and
aₙ is the value of the last term in the sequence.
that is:
n = 13
a₁ = 1
aₙ= 133
Hence
Sn = (13)((1 + 133) / 2) = (13)(134 / 2) = (13)(67)
= 871
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Please Help It would mean a lot!!
Answer:
30 x n - 60 = 20 x n
1 day
80
Step-by-step explanation:
Please help !!! Find the measure of the exterior angle, formed by the sculpture and the ground, marked below in red.
Step-by-step explanation:
the inner and the outer angle at a vertex of a triangle are complementary angles or a linear pair of angles.
that means together they have 180°.
180 = inner + outer = 48 + outer
outer = 132°
the exterior angle is 132°.
At a sale, suits were sold for $72 each. This price was 45% of a suit's original price. How much did a suit orginlly cost
At a sale, suits were sold for $72 each and this price was 45% of a suit's original price which means that suit originally cost $160.
What is Percentage?This is referred to as a number or ratio that can be expressed as a fraction of 100.
Selling price = $72 which is 45% of a suit's original price.
Therefore, 45/100 × X = $72.
45X = 7200
X = 7200/45 = $160.
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A car is purchased for $38,000. Each year it loses 20% of its value. After how many years will the car be worth $10,600 or less?
After 4.6 years the car's worth will be $10,600 or less.
According to the question,
We have the following information:
A car is purchased for $38,000. Each year it loses 20% of its value.
Now, we will first find 20% of 38,000:
(20*38000)/100
$7600
Now, each year the decrease in the price will be $7600.
So, we have the following arithmetic progression:
38000, 30400, ...
Now, following formula is used to find the nth term of an A.P:
an = a+(n-1)d where a is the first term and d is the common difference
10,600 = 38000+(n-1)-7600
10600-38000 = -7600n+7600
-27,400 = -7600n+7600
-7600n = -27400-7600
-7600n = -35000
n = 35000/7600
n = 4.6 years
Hence, after 4.6 years the car will be worth $10,600 or less.
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Two different proportional relationships are represented by the equation and the table.
The rate of change in proportion A is lower than the rate of change in proportion B.
What is a proportional relationship?A proportional relationship is used to illustrate the relationship the variables.
In this case, the proportion A is given as y = 9x.
Proportion B will be:
= 34.5 / 3
= 11.5
This will be illustrated as y = 11.5x
Therefore, it can be seen that B had a higher proportion than A.
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suppose that the population of a city was 92000 in 2010. Then every year after that, the population decreased by 2% due to heavy population.
Create a model for the population of the city, P, in terms of the number of years that have passed since 2010, t:
P = _______
The decrease of the population from the question can be modeled by;
P = 92000e^-0.02t
What is the model of the population?We know that the population of a place can be modeled by the use of an exponential model. In the exponential model, there could be an increase or decrease in the population of a place as the case may be. In this case, we are told that there is a decrease in the population of the place.
Let us note from the question that we have been told that every year after 2010, the population decreased by 2% due to heavy population. We were also made to understand in the question that the initial population of the city is about 92000.
Now, we can write the model as;
P = Poe^-rt
P = population of the area at time t
Po = population initially present
r = rate of population decrease
t = time taken since 2010.
We can now write;
P = 92000e^-0.02t
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A map has a scale of 1/2 inch
equals 25 miles. How many
miles are 8 inches?
According to the given scale, 400 miles are 8 inches.
Scale
Scale refers the ratio that defines the relation between the actual figure and its model. And it is used in maps to represent the actual figures in smaller units.
Given,
A map has a scale of 1/2 inch equals 25 miles.
Here we need to find how many miles are 8 inches.
Through the given question we know that,
1/2 inches = 25 miles.
Then the 1 inch is equal to,
1 inch = 25 x 2 = 50 miles.
Therefore, the miles equivalent of 8 inches is written as,
=> 8 x 50
=> 400 miles.
Therefore, 8 inches is equal to 400 miles.
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draw the image of quadrilateral ABCD under a translation by 5 units to the right
The image of the quadrilateral ABCD when translated to the right by 5 units is given as attached. When translated, the new coordinates are given as follows;
A' = (4,2)
B' = -1,1)
C' = (-2,-2)
D' = 5, -5)
What is a translation in Math?A translation is a sort of transformation that involves sliding each point in a figure the same distance in the same direction.
There are several forms of translation:
When we flip a figure over a line, we call this reflection.Rotation is the process of rotating a figure to a specific degree around a point.When we dilate, we enlarge or contract a figure.Learn more about translation:
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{(0, −2), (-3, 1), (-4, 3), (1, −4)}
domain and range
Domain of {(0, −2), (-3, 1), (-4, 3), (1, −4)} is (0, -3, -4, 1) and range of
{(0, −2), (-3, 1), (-4, 3), (1, −4)} is (-2, 1, 3, -4).
Define domain and range.The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values. In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).
Given,
{(0, −2), (-3, 1), (-4, 3), (1, −4)}
The set of all x coordinates makes up the domain, while the set of all y coordinates makes up the range.
Domain = (0, -3, -4, 1)
Range = (-2, 1, 3, -4)
Domain of {(0, −2), (-3, 1), (-4, 3), (1, −4)} is (0, -3, -4, 1) and range of
{(0, −2), (-3, 1), (-4, 3), (1, −4)} is (-2, 1, 3, -4).
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
Answer:
Alternate exterior
Congruent
4
Step-by-step explanation:
The given angles are alternate exterior angles and alternate angles has equal measures so they are also congruent which means to find the value of x:
20x = 80 divide both sides 20
x = 4
You want to buy a new car. You can afford payments of $425 per month and can borrow the money at an interest rate of 4% compounded monthly for 5 years. How much interest do you pay?
He would pay $8500 interest if he can afford payments of $425 per month and can borrow the money at an interest rate of 4% compounded monthly for 5 years.
Define interest.The expense of borrowing money is interest. It equates to a fee or additional charge the borrower pays the lender for the loaned amount, and is sometimes stated as a percentage. When you make a payment on a loan with simple interest, the money first goes toward the interest for that month and the rest is applied to the principal. Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.
Given,
Principal = $425
Rate = 4%
Time = 5 years
Interest = Principal × Rate × time
Interest:
= 425 × 4×5
= 8500
He would pay $8500 interest if he can afford payments of $425 per month and can borrow the money at an interest rate of 4% compounded monthly for 5 years.
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which expression is equivalent to i233?
O 1
O -1
O i
O -i
i is expression is equivalent to i233.
What is mathematical expression?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.Given i233
We know that i2 = -1 , if we square (i2) we get (-1)2 = 1
So, if i is multiplied to (i2), we get i3 = (-1).i = -i
Again if i is multiplied to i3 , we get i4 = (-i).i = -i2 = -(-1) = 1
Hence, all even powers of i after 2, will give answer as 1
The sequence will continue as a cycle as i, -1, -i, 1
So, i233 can be rewritten as i232 + 1= i232.i
i233 = (i2)116 .i = (-1)116 . i
Since the power 116 is even , the term becomes 1.i = i
Therefore, i233 = i
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i NEED HELP QUICK AGAIN
Answer: 3 1/3
Step-by-step explanation:
Each tick mark marks 1/3 of a space. A is at - 3 1/3. The absolute value of any number is positive and is just the number of spaces a dot is from zero. You can’t have a negative distance, so the answer is 3 1/3.
1. Structure that houses all the inner parts of the computer
Answer:
The motherboard
Step-by-step explanation:
cardsIt is the base of all chips and
the product of three, x, and y
This is pretty simple because all you have to do to find this product is to write it out as 3xy. These are still multiplied, making it the product.
Answer:
it is equal to 5⃣ hope that m not wrong
Which of the graphs does not belong with the others ? Explain your reasoning.
Answer:D
Step-by-step explanation:
It is a monomial and the others and not
May I have assistance I’ll give you brainliest no links or I will report you
The equation of the line is y = -68.7x - 5.1 when the slope is 68.7 and the y - intercept is -5.1.
Equation of the line
Basically, the equation of the line refers the mathematical equation that gives the relation between the coordinate points lying on that straight line.
The general form of the equation of the line is
y = mx + c
where
m refers the slope
c refers the y intercept
Given,
Here we have the value of slope is -68.7 and the y intercept is -5.1.
Now, we have to write the equation of the line.
Here we have the value of
Slope = -68.7
y- intercept = - 5.1
So, the equation of the line is written as,
=> y =-68.7x - 5.1
Therefore, the equation of the line with the given slope and intercept is
y = -68.7x -5.1
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Find all values of m for which the equation has two real solutions
(m - 3)r² + 9r - 2 = 0
The value of m for equation (m - 3)r² + 9r - 2 = 0 is 57/8.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .
The given equation is (m - 3)r² + 9r - 2 = 0
For the equation to have real and equal roots, the discriminant should be 0.
b²-4ac=0
a=m-3, b=9, c=-2
plug in the values in discriminant
81-4(m-3)(-2)=0
81-4(-2m+6)=0
81+8m-24=0
8m+57=0
m=57/8=7.125
Hence, the value of m for equation (m - 3)r² + 9r - 2 = 0 is 57/8.
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Give an equation for the transformation that maps the graph of f onto the graph of g.
[tex]g(x)=cf(b(x-h))+k[/tex]
g(x) is the transformed functionf(x) is the original functionc = vertical stretch (negative = reflect about the x-axis)b = horizontal stretch (negative = reflect about the y-axis)h = horizontal translation (negative = moves left)k = vertical translation (negative = moves down)Solving the Question
We know that only a vertical translation and horizontal translation were applied to the graph. How?
The slopes of each segment remained the same, indicating that there was no vertical or horizontal stretchTo identify what values of h and k to use, identify the translations applied to one of the points:
(1,2) ⇒ (4,4)
It moved 3 units rightIt moved 2 units upTherefore:
h = 3k = 2Plug this into the equation:
[tex]g(x)=cf(b(x-h))+k\\g(x)=f(x-h)+k\\g(x)=f(x-3)+2[/tex]
Answer[tex]g(x)=f(x-3)+2[/tex]
A fraction can easily be written as a percent when the denominator is _________________.
Group of answer choices
100
50
10
20
A fraction can easily be written as a percent when the denominator is 100 , the correct option is (a) .
in the question a fraction is given ,
we need to find , what should be the denominator to express the fraction in percent .
the definition of percent states that one part of every hundred is called as percent ,
So , by the definition of percent we can conclude that A fraction can easily be written as a percent when the denominator is 100 .
For Example : 5% can be written as 5/100 , where the denominator is 100 .
Therefore , A fraction can easily be written as a percent when the denominator is 100 .
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A scientist divided 1/2 of an ounce of liquid protein evenly among 4 cell sample. How
much liquid protein did she put in each cell sample
The amount of liquid protein in each cell sample is 1/8 ounce
How to determine the ounce of liquid?From the question, we have the following parameters that can be used in our solution:
Ounce of liquid = 1/2 ounce
Number of samples = 4 cells
From the above parameter, we can calculate the amount of liquid protein in each cell sample
Amount = Ounce of liquid /Number of samples
Substitute the known values in the above equation
So, we have the following equation
Amount = (1/2)/4
Evaluate the quotient
Amount = 1/8
Hence, the amount is 1/8 ounce
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hello whats 6.75 ft to inches ..... could use some help
Answer:81
Step-by-step explanation:
cus you need multiply the length value by 12
6.75x12 equal 81
4^(2x-3)=8^(x-4)
I don't understand the problem please give steps Thank You
The solution to the problem is X =-6
What is simplify?Simply in mathematics is reducing the problem or fraction into basic form
Simplify the equation by finding the root of the equation
[tex]2^{2(2x-3)}[/tex]= [tex]2^{3(x+4)}[/tex]
Divide the side of the equation by each other
{2(2x-3)} = {3(x- 4)}
Open the bracket by multiplying the right hand side and left by their coefficient.
4x -6 = 3x - 12
Collect the like terms and the unknow X be on the left side
4x-3x = 6-12
x = -6
Therefore, the solution to the problem is X =-6
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what is 3/7 divide by 1/14
Answer:
6/1 is what i got, is that a right answer?
Step-by-step explanation:
3/7 by 1/14
2*3/1*1 over 14 =6/1 over 14 simplified 3/7.
Mindy owns 20 pairs of shoes and every week she purchases two more pairs.And she destroys one. How long will it take for her closet to have 50 pairs of shoes?
Write an equation and solve.
Answer:
y = x + 20
30 weeks
Step-by-step explanation:
The given scenario can be modelled using the linear equation:
[tex]y=mx+b[/tex]
where:
m is the rate of change (slope).b is the initial value (y-intercept.Mindy initially owns 20 pairs of shoes. Therefore, the initial value is b = 20.
If Mindy purchases 2 pairs but destroys 1 pair each week, then she is gaining 1 pair of shoes each week. Therefore, the rate of change is m = 1.
Therefore, the equation is:
[tex]y=x+20[/tex]
where:
x is time in weeks.y is the number of shoes Mindy owns.To find how long it will take for Mindy's closet to have 50 pairs of shoes, substitute y = 50 into the equation and solve for x:
[tex]\implies 50=x+20[/tex]
[tex]\implies 50-20=x+20-20[/tex]
[tex]\implies 30=x[/tex]
[tex]\implies x=30[/tex]
Therefore, it will take Mindy 30 weeks to have 50 pairs of shoes in her closet.
What is 1+1x34 divided by 19x987-6961+85629x0?
The solution is 0.0029
How to simplify?Simplify in mathematics is reducing an expression, problem or fraction into a simple form.
Rewrite the the expression in mathematical form we have;
[tex]\frac{1 +1 * 34}{19 * 987 - 6961 + 856209 * 0}[/tex]
Simplify the expression
= [tex]\frac{35}{(19 * 987) - (66961 + (85629 * 0)}[/tex]
Simplify again by subtracting the denominator
=[tex]\frac{35}{18753 - (6961)}[/tex]
= [tex]\frac{35}{11792}[/tex]
= 0.0029 approx..
Therefore, the solution is 0.0029
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Kendra is printing out copies of a presentation. It takes 5 minutes to print a color copy and 1 minute to print a black-and-white one. She wants to spend under 47 minutes on printing. Write an inequality that represents the number of minutes Kendra could spend printing each type of copy.
The inequality statement for Kendra is written as 5y + x < 47 minutes
How to write the inequality to suit KendraInformation given in the question
It takes 5 minutes to print a color copy
1 minute to print a black-and-white one
She wants to spend under 47 minutes on printing
Inequality is a means of representing the relationship existing between the positive and negative parts of equations, using other terms aside exactly using equal to
let x represent the number of black-and-white printed
let y represent the number of colored copy printed
under 47 minutes means less than 47 minutes
5y + x < 47 minutes
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The recipe also calls for 3/4 cup of snot for every 6 cat
whiskers. If she has 10 cat whiskers, how many cups of
snot will she need?
Answer:
1.25
Step-by-step explanation:
3/4 snot = 6 cat
/6 /6
______________
0.125 snot = 1 cat
*10 *10
______________
1.25 snot = 10 cat
Given a cube with volume V, you can use the formula P=4V³ to find
the perimeter of one of the cube's square faces. Find the perimeter of
a face of a cube that has volume 125 m³.
The perimeter of a face of a cube is 60m that has volume 125 m³.
Define volume of cube.The total number of cubic units that a cube occupies in three dimensions is its volume. Six faces, twelve edges, and eight vertices make up the three-dimensional shape of a cube. Therefore, the area encircled by a cube's six faces is considered to equal its volume. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity. The volume of a cube can be calculated by three times multiplying the edge length.
Given,
Volume of cube = side³
Volume = 125 m³
side³ = 125m³
Side = ∛125
Side = 5
Perimeter of cube = 12 × Side
= 12 × 5
= 60
The perimeter of a face of a cube is 60m that has volume 125 m³.
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In a race, two cars travel around a circular track. One completes the track in 6 second and the other one in 6.5 seconds. If they leave the starting line together, how long will be before they are both side by side at the starting line again? what is the LCM ?
Answer:
39seconds
Step-by-step explanation:
LCM=6×6.5=39seconds
