If you list the number of tickets sold over time, the kind of sequence which you would see include the following: B. geometric.
What is a geometric sequence?In Mathematics, a geometric sequence can be defined as a series of real and natural numbers that are calculated by multiplying the next number by the same number (common or constant ratio) each time.
How to calculate the nth term of a geometric sequence?In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:
aₙ = a₁rⁿ⁻¹
Where:
aₙ represents the nth term of a geometric sequence.r represents the common ratio.a₁ represents the first term of a geometric sequence.Assuming the variable x represents the number of ticket sold previously (initial year) and it sold 7 times as many tickets each year as it did the year before, a mathematical expression which models this situation is given by geometric sequence:
x, 7x, 49x, 343x, .....
Check:
7/1 = 49/7 = 343/49 = 7 (proof).
Therefore, this is a geometric sequence.
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Complete Question:
A growing amusement park is able to sell 7 times as many tickets each year as it did the year before. If you list the number of tickets sold over time, what kind of sequence will you see?
arithmetic
geometric
both
neither
hi i need help with seventh grade math :)
Answer:
i can be ur free tutorrrrr
Step-by-step explanation:
Answer:
im in 7th grade too, ill help
Step-by-step explanation:
Given ADEF, if DE = 50 inches and EF = 19
inches, what is m D to the nearest tenth
of a degree?
E
D
F
A. 16.1
B. 18.5
C. 20.7
D. 22.3
Answer:
22.3
Step-by-step explanation:
From trigonometry :
The angle D can be obtained thus ;
Sin D = opposite / hypotenus
Sin D = 19 / 50
Sin D = 0.38
D = Sin^-1(0.38)
D = 22.33
MODELING REAL LIFE When the average price of an item increases from $p_1$ to $p_2$ over a period of $n$ years, the annual rate of inflation $r$ (in decimal form) is given by $r=\left(\frac{p_2}{p_1}\right)^{1/n}-1$
. Find the rate of inflation for each item in the table.
Per pound Per pound
2009 2019
Potatoes $0.620 $0.749
Oranges $0.910 $1.280
Ground beef $2.251 $3.775
Potatoes:
, or %
Oranges:
, or %
Ground beef:
, or %
The rate of inflation of potatoes is 0.019.
The rate of inflation of Oranges is 0.019.
The rate of inflation of Ground beef is 0.019.
What is Rate of Inflation?Inflation is an increase in the level of prices of the goods and services that households buy. It is measured as the rate of change of those prices.
Given:
Here, the annual rate of inflation r (in decimal form) is given by
r = [tex](p_2/ p_1)^{1/n[/tex] - 1
Now, The average price of a potatoes increased from $0.620 in 2009 to $0.749 in 2019.
Thus, The required rate of inflation,
r = [tex](0.749/ 0.620)^{1/10[/tex] - 1
r = 1.019 - 1
r = 0.019
Now, The average price of a Oranges increased from $0.910 in 2009 to $1.280 in 2019.
Thus, The required rate of inflation,
r = [tex](1.280/ 0.910)^{1/10[/tex] - 1
r = 1.034 - 1
r = 0.034
Now, The average price of a Ground beef increased from $2.251 in 2009 to $3.375 in 2019.
Thus, The required rate of inflation,
r = [tex](3.775/ 2.251)^{1/10[/tex] - 1
r = 1.0321 - 1
r = 0.0321
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Fill in the table using this function rule y = 4x + 3
Answer:
y = 4x + 3 is in what is called "slope-intercept" form or "y=mx+b" form which is the easiest form for graphing. The "3" is called the "y-intercept" and is where the line crosses the y axis.
Step-by-step explanation:
got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 24 cents per yard. If after that purchase there was $3.48 left on the card, how many yards of ribbon did
The length of ribbon is 48 yards.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Kala got a prepaid debit card with $15.
Price of Ribbon = 24 cents per yard.
After purchase money left $3.48.
So, Price of Ribbon purchased = 15 - 3.48 = $11.52 = 1152 cents
length of ribbon = 1152/ 24
= 48 yards
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Christina paid $2 for 5/8 of a gallon of gas.How much does it cost per gallon
Answer:
$3.20
Step-by-step explanation:
I divided the $2 by 8 to see how much 1/8 a gallon cost.
I got 0.40
Multiple this by 8 to get 8/8 or 1 gallon.
You get 3.2
so $3.20
Hope this helped. :)
Please help ! It's timed!
Answer:
The answer to your first question is A You can find slope through the equation Change in Y over change in x. and find the y intercept by using the growth rate and multiplying or dividing it by the x coordinate until the Y value hits 0,
Step-by-step explanation: If you dont feel like doing the work copy and paste the equations into desmos graphing calculator and it will tell you everything
Pls help me i need to fill in the boxes that dont have anything in them but i aldo need to fill in the one that says "A="
Step-by-step explanation:
Area (A) = (1/2)b×h = (1/2)(10)(6) = 30
Perimeter = 8+ 8 + 10 = 26
Help
Write an equation and solve: A plumber charges a $65 fee for a visit plus $42 per hour of service. Trevor's bill was $233. Write and solve an equation to find how many hours of service the plumber charged?
Answer:
x=per hour
233=42x+65
Step-by-step explanation:
(1/a)^3 Help simplify please
Answer:
1/a³
Step-by-step explanation:
(1/a)³ = 1³/a³ = 1/a³
the number of geusts,g, coming for dinner is not 8
The number of guests, g, coming for dinner is not 8, is g ≠ 8.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
The expression,
the number of guests, g, coming for dinner is not 8.
That means,
Let the number is g.
According to the question,
the number is not equals to 8.
That means,
the expression in the numerator form,
g ≠ 8.
Therefore, the term in the mathematical form g ≠ 8.
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To serve 1 person at a local restaurant it takes 10 minutes. To serve 5 people it takes 18 minutes. Using the points (1, 10) and (5, 18), find the slope between the two points. The formula for slope is m =y2 - y1/x2 - x1
(a) m=2
(b) m= -2
(c) m= -5
9514 1404 393
Answer:
(a) m = 2
Step-by-step explanation:
The formula tells you the slope is ...
m = (18 -10)/(5 -1) = 8/4
m = 2
Pre
An outdoor art display is a metal cube with edge length 66 feet. What is the volume of the cube in
cubic feet?
A new online auction site specializes in selling automotive parts for classic cars. The founder of the company believes that the price received for a particular item increases with its age (the age of the car on which the item can be used in years) and with the number of bidders. Use the multiple regression output below to answer the following questions.
Summary measures Multiple R 0.8391 R-Square 0.7041 Adj R-Square 0.6783 StErr of Estimate 148.828
Regression coefficients Coefficient Std Err t-value p-value Constant -1242.986 331.204 -3.7529 0.0010 Age of part 75.017 10.647 7.0459 0.0000 Number of Bidders 13.973 10.443 1.3380 0.1940
a. Use the information above to write out the form of the linear regression model.
b. Interpret each of the estimated regression coefficients of the regression model.
c. Is the founder of the company correct in believing that the price received for the item increases with its age and with the number of bidders? Explain your answer.
Solution :
a). The required linear regression model is
Price = [tex]$-1242.986 + 75.017 \times \text{age of part} + 13.973 \times \text{ number of bidders}$[/tex]
b). The [tex]$\text{p-value}$[/tex] for the variable "Age of part" is 0.0000
Since the [tex]$\text{p-value}$[/tex] is less than 0.05, so it is significant to the model.
The p-value for the variable "Number of bidders" is 0.1940
Since [tex]$\text{p-value}$[/tex] is not less than [tex]$0.05$[/tex], so it is significant to the model.
c). We cannot say that model is significant because variable " the number of bidders" is not significant.
But as both variables have positive coefficient so as the variable increases the price received for the item also increased.
Edgar accumulated $3,000 in credit card debt. If the interest rate is 50% per year and he does not make any payments for
3 years, how much will he owe on this debt in 3 years by compounding continuously?
Provide your answer below:
Answer:
$7,459.12
Step-by-step explanation:
The formula for continuous compounding is
A = Pe^(rt), where P is the original amount, A is the accumulated amount, r is the interest rate as a decimal fraction, and t is the number of years. We want to know how much he will owe on this original $5,000 credit card debt after 2 years.
A = $5,000e^(0.20*2)
= $7,459.12
Step-by-step explanation:
The formula for continuous compounding is
A = Pe^(rt), where P is the original amount, A is the accumulated amount, r is the interest rate as a decimal fraction, and t is the number of years. We want to know how much he will owe on this original $5,000 credit card debt after 2 years.
A = $5,000e^(0.20*2)
= $7,459.12
what is 10x10?................................
Answer:
100??................
Answer:
100
Step-by-step explanation: Even im not that bad at math
Last year, Jane spent $1,968 for natural gas. This year, she decided to use balance billing. What will her monthly
payment be this year?
A.$164 per month
B.$174 per month
C.$184 per month
Answer:
e a b $ 174 par month
Step-by-step explanation:
ar the
Jane's monthly payment this year using balance billing would be $164 per month.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
To determine Jane's monthly payment this year using balance billing, we need to divide the total amount she spent last year ($1,968) by the number of months in a year.
Total amount spent last year = $1,968
Number of months in a year = 12
So, Monthly payment = Total amount spent last year / Number of months in a year
Monthly payment = $1,968 / 12
Monthly payment ≈ $164
Therefore, Jane's monthly payment this year using balance billing would be $164 per month.
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What is the measure of missing angle S?
Answer:
60
Step-by-step explanation:
The measure of ∠ATS is 120. The measure of a straight angle is always going to be 180 degrees. So first, we subtract 120 from 180 to find the measure of the interior angle.
∠STR = 180 - 120
= 60
The measure of all the interior angles in the triangle ΔSTR is 180 degrees.
180 - 60 - 60
= 60
The measure of ∠TSR is 60 degrees.
(2,1)
H
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(6,-3)
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6+Q
4
y
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2+
-2-
-6-
-8
P
2
4 6
R
8
What is the image of R for a dilation with center (0, 0) and a scale factor of
2
X
Answer: free allah long live
Step-by-step explanation:
46564
Rosa goes to a restaurant and orders a meal that code $9. She wants to leave a 20% tip for the server. What is the total cost of Rosa meal?
Answer:
$10.80
Step-by-step explanation:
9 times 0.20 equals 1.80
9 + 1.80 = $10.80
Show how to use the unit rate to find the missing numbers on the double number line
Using the Double Number Line above, note that the unit that helps to find the missing numbers is given as:
3 and 915 and 518 and 624 and 827 and 9.What is a Unite Rate and How does it relate to a Double Number Line?Note that a unit rate is like a secret code to help you compare things. It helps you find missing numbers on a number line. For example, if 4 cookies cost $2, you can use the unit rate of $0.50/cookie to find out how much 8 cookies cost."
In the above case, we have several clues about the rate. The first relationship on the line is between 1 and 3.
But it only makes when we compare it to other iterations on the line such as 2 and 6.
Note that we can establish a relationship here which is that the greater number must be divided by three to get the lower number. That is:
3/3 = 1
6/3 = 2
Note well that the relationship between 0, 3, and 6 on the number line tell us that the upper units graduate in progressions of 3. that is:
0, 3, 6, 9, etc.
Thus, the missing numbers are:
3 and 915 and 518 and 624 and 827 and 9Learn mroe about Double Number Lines:
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Can someone help me out
I'm not 100% sure but I think it's 53.1
Can anyone please help? I will give Brainly. The answer is not...40,000 x 0.055 :((
9514 1404 393
Answer:
$1800
Step-by-step explanation:
The tax due is ...
3% × $10,000 + 5% × ($40,000 -10,000)
= 5% × $40,000 - (5% -3%)($10,000)
= $2000 - 200
= $1800 . . . . tax due
_____
Additional comment
The table is structured so you need to compute the amount due in each bracket and add those to find the total due.
I prefer to compute the tax due by applying the appropriate tax rate to the whole amount, then subtracting a "discount" that reflects the fact that the rate doesn't actually apply to the whole amount.
Please help whats the last meter on 10 will mark brainliest!
Answer:
10000
Step-by-step explanation:
4^2 (100) = 1600
so,
10^2 (100) gives us our answer of 10000
17. Identify the amplitude, period, and vertical shift for the
function shown. Then write an equation that represents the curve.
m
A=
B=
P=
C=
f(x)=
Answer:
[tex]f(x)=2cos(x+\frac{\pi}{2})+3[/tex]
Step-by-step explanation:
Because the function is symmetric about the y-axis, using the cosine function is most appropriate.
Refer to the equation for a cosine function:
[tex]f(x)=acos(bx+c)+d[/tex]
Amplitude: [tex]|a|[/tex]
Period: [tex]\frac{2\pi}{|b|}[/tex]
Phase shift: [tex]-\frac{c}{b}[/tex]
Midline: [tex]y=d[/tex]
The amplitude would be the average of the maximum and minimum y-values of the function, which would be [tex]|a|=|\frac{5-1}{2}| =|\frac{4}{2}| =|2|=2[/tex].
The value of [tex]b[/tex] in [tex]\frac{2\pi}{|b|}[/tex] represents the length of the period, so since the length of the period is [tex]2\pi[/tex], this means that [tex]b=\frac{2\pi}{|2\pi|} =1[/tex].
The phase shift, [tex]-\frac{c}{b}[/tex], describes the horizontal shift of a function. Because the phase shift is [tex]-\frac{\pi}{2}[/tex], then we can set up the equation [tex]-\frac{\pi}{2}=-\frac{c}{1}[/tex] where we determine [tex]c=\frac{\pi}{2}[/tex].
The midline (or vertical shift), [tex]d[/tex], is the horizontal line that passes through between the maximum and minimum points, which the function oscillates. In this case, the midline would be located at the line [tex]y=3[/tex], therefore, [tex]d=3[/tex].
Putting all our information together, your final equation is:
[tex]f(x)=2cos(x+\frac{\pi}{2})+3[/tex]
For polynomial function f, if f(3)=5 and f(5)=-2, what do we know about any roots of f(x)?
Answer:
There is a root between x=3 and x=5.
Step-by-step explanation:
Not entirely sure what this question wants, but from this you can tell that the function crossed the x-axis in the interval (3, 5). When x is 3, y is 5, and then when x is 5, y is -2.
Is 1 1/3 an irrational number?
PLS HELPP
NOT ACCEPTING LINKS
WILL AWARD BRAINLIEST!!!
Answer:
the closest i can get is 30
Step-by-step explanation:
I'm sorry if it isn't right
===========================================================
Explanation:
Each tickmark on the graph represents a distance of 2 units. From A to P is 4 tickmarks, so that corresponds to 2*4 = 8 units. That's one of the bases. The other base is TR = 2. The bases are parallel to one another.
The height is always perpendicular to the base, and the height is 2*3 = 6 units.
So we have
b1 = 8, b2 = 2, and h = 6
Which means,
A = h*(b1+b2)/2
A = 6*(8+2)/2
A = 6*10/2
A = 60/2
A = 30
------------------------------
As a slightly longer alternative, we can plot points at (-2, 0) and (-2, -2). Let's call these two points M and N respectively. These two points subdivide the trapezoid into three pieces: Two triangles sandwiching a rectangle.
Triangle TMP has area of base*height/2 = 6*4/2 = 12Rectangle TMNR has area of length*width = 6*2 = 12Triangle RNA has area of base*height/2 = 6*2/2 = 6Add up those sub-areas to get the full area of the trapezoid:
12+12+6 = 30
Distributive property Explained 4(x+3)=4x+12
Answer:
Step-by-step explanation:
4(x+3)=4x+12
4x+12=4x+12
M=
Please help, NO LINKS PLEASE
Answer:
120°
Step-by-step explanation:
I drew a picture that will make it easier to understand what's going on. Please see the attached image
In a rhombus, the diagonals bisect the opposite angles, and opposite angles are congruent.
Let's say angle 1 is x. The interior angles of a quadrilateral add up to 360°, so
30+30+30+30+2x=360
2x=240
x=120
angle 1 is 120°.