Given:
A pizza with one topping costs $11. Each additional topping costs $2 more.
To find:
The recursive formula and an explicit formula for the situation.
Solution:
The sequence of costs of pizza is
11, (11+2), (11+2+2), ...
11, 13, 15, ... are in A.P.
Here,
First term: a=11
Common difference: d=2
Explicit formula of an A.P. is
[tex]a_n=a+(n-1)d[/tex]
where, a is first term and d is common difference.
[tex]a_n=11+(n-1)2[/tex]
[tex]a_n=11+2n-2[/tex]
[tex]a_n=9+2n[/tex]
Therefore, the explicit formula for the situation is [tex]a_n=9+2n[/tex].
Recursive formula of an A.P. is
[tex]a_n=a_{n-1}+d[/tex]
Where, [tex]a_1[/tex] is first term and d is common difference.
[tex]a_n=a_{n-1}+2[/tex]
Where, [tex]a_1=11[/tex].
Therefore, the required recursive formula is [tex]a_n=a_{n-1}+2[/tex] where [tex]a_1=11[/tex].
Look at the image below and please tell me where to place the points.
There is no image posted though?
Answer: there is no image though
Step-by-step explanation:
Which angle(s) is/are supplementary?
Answer:
Two Angles that add up to 180
Step-by-step explanation:
90 degrees+ 90 degrees= 180 degrees
160degrees+ 20 degrees= 180 degrees
Hope this helps!
find 24% of 165.........................................
Answer:
39.6
Step-by-step explanation:
Answer:
39.6
Step-by-step explanation:
If you need an explanation i can edit the answer and give you one.
Which statement(s) describe the graph of the equation x=-2? Select all that apply
Answer:
B, D.
Explanation:
When graphed out it is a vertical line. A vertical line has an undefined slope.
The x intercepts the line at (-2,0).
PLEASE HELP
A faucet dripped 14 cup of water in 112 hours. What is the rate in cups per hour?
Answer:
8 cups per hour
Step-by-step explanation:
We already have both values, the total sum of hours and the total amount of cups the faucet dripped. We would divide the hours by the cups of water to get an answer of 12. You can also double check this when doing one of these problems on your own, by multiplying your answer by the divisor. (14) 14 times 8 is 112, so we know our answer is correct.
Hope that helps :D
The rate in cups per hour is 8 cups per hour if a faucet dripped 14 cup of water in 112 hours.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
A faucet dripped 14 cup of water in 112 hours.
The total sum of hours and the total amount of cups the faucet dripped.
The rate in cups per hour = 112/14
The rate in cups per hour = 8
Thus, the rate in cups per hour is 8 cups per hour if a faucet dripped 14 cup of water in 112 hours.
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2(2.5x+8)=26
what does x=?
plz help
Answer:
x=2
Step-by-step explanation:
Hope this helps!
Answer:
simplifying x = 2
Step-by-step explanation:
reordering the terms then solving + 5x =26
add -16 to each side of the equation
16 = -16 + 5x = 26+ -16
PLEASE HELP ILL GIVE YOU BRAINLIEST
Answer:
78.54
Step-by-step explanation:
So the rounded answer would be 100. I honestly am not 100% sure. I just looked it up. sorry if it is wrong! :c
Consider the following statements:
I. Multicollinearity is present when there is a high degree of linear correlation between the predictors.
II. A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: y-hat = 135 + 6x + errors. This implies that if the height is zero, the weight is 135 pounds in this linear model.
a. I is true and II is false.
b. I is false and II is true.
c. Both I and II are true.
d. Both I and II are false.
e. More information is needed for each statement in order to tell which is true or false.
Answer:
d. Both I and II are false
Step-by-step explanation:
When there is a high degree of linear correlation between the predictors the errors are found.
The basic objective of the regression model is to separate the dependent and independent variables. So if the variables have high degree of linear correlation then the multi collinearity causes problems or has errors. It is not necessary that multi collinearity must be present with high degree of linear correlation.
For example we have 3 variable of heat length and time. And all of them have a high degree of correlation. With increase in heat and time the length increases . But for multi collinearity with the increase of time and decrease of heat length does not increase. So this causes errors.
y-hat = 135 + 6x + errors
The linear relationship between height and weight is inexact. The deterministic relation in such cases is then modified to allow the inexact relationship between variables and a non deterministic or probabilistic model is obtained which has error which are unknown random errors.
y- hat= a + bXi + ei (i=1,2,3...)
ei are the unknown random errors.
So both statements are false.
-12 -9 (t-3) = 78
t=?
Answer:
equals -43
Step-by-step explanation:
A number m is equal to twice the sum of two numbers n and p.
Answer:
oh
Step-by-step explanation:
PLEASE help it’s a multiple choice question i’ll mark u brainliest
Cate wants to buy calzones and sodas for her friends. She finds that when she buys 2 calzones and 3 sodas, she pays $13. When she buys 3 calzones and 2 sodas, she pays 17. The prices for a calzone, LaTeX: cc, and for a soda, LaTeX: ss, can be found using a system of equations. Enter with NO dollar signs
Answer:
Step-by-step explanation:
23
can u pls help me with this question
and the equations to choose from are
y=k+x
y=k
y=kx
y=kx
Step-by-step explanation:
That's the formula for direct variation relationships!
The other two answers are nonsense and don't mean anything.
Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 7 years?
Answer:
A≈107902
Step-by-step explanation:
The $107,902 will be in account after 7 years if Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
We have:
p = $90,000
r = 2.6% = 0.026
n = 4
t = 7 years
[tex]\rm A = 90,000(1+\dfrac{0.026}{4})^{4\times7}[/tex]
A = $107,901.71 ≈ $107,902
Thus, the $107,902 will be in account after 7 years if Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly.
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Eddie's Evergreens sells Christmas trees and wreaths. Trees cost 3 dollars more than 4 times the price of each wreath. It costs $ 99 buy 2 wreaths and 1 tree . How much does each wreath cost? How much does each tree cost?
Answer:
[tex]W = 16[/tex]
[tex]T = 67[/tex]
Step-by-step explanation:
Represent trees with T and wreaths with W
Given
[tex]T = 3 + 4 * W[/tex]
[tex]2 * W + T = 99[/tex]
Solving (a): Cost of W
Substitute 3 + 4 * W for T in the second equation
[tex]2*W + 3 + 4 * W = 99[/tex]
[tex]2W + 3 + 4 W = 99[/tex]
Collect Like Terms
[tex]2W + 4 W = 99 - 3[/tex]
[tex]6W = 96[/tex]
Divide through by 6
[tex]W =\frac{96}{6}[/tex]
[tex]W = 16[/tex]
Hence, each wreath costs $16
Solving (b): Cost of T
[tex]T = 3 + 4 * W[/tex]
Substitute 16 for W
[tex]T = 3 + 4 * 16[/tex]
[tex]T = 3 + 64[/tex]
[tex]T = 67[/tex]
Hence, each tree costs $67
HURYY PLEASE LIKE RN
Answer:
[tex]\huge\boxed{\sf 252\ in.\²}[/tex]
Step-by-step explanation:
TOP and BOTTOM:
Surface Area = 2 ( Length * Breadth)
SA = 2 ( 6 * 12 )
SA = 2 (72)
SA = 144 in. ²
FRONT and BACK:
SA = 2 ( Length * Breadth)
SA = 2 ( 3*12 )
SA = 2 (36)
SA = 72 in.²
SIDES:
SA = 2 ( Length * Breadth )
SA = 2 ( 3 * 6 )
SA = 2 (18)
SA = 36 in.²
Adding all to get the SA of rectangular prism:
= 144 + 72 + 36
= 252 in.²
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Please help and explain how you got the answer. Im giving out brainliest. || Q4
Answer: 32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
Inside the parentheses, we see 5+3, which equals 8. Now, do 8x4, which equals 32!
Please help me answer this !
Answer:
[tex] y = -\frac{1}{2}x + 4 [/tex]
Step-by-step explanation:
The equation of the line can be written in slope-intercept form, as y = mx + b.
We need to find the slope (m) and the y-intercept (b) of the line, then plug their values into the slope-intercept equation, to find the equation of the line shown.
y-intercept (b) = the point where the line intercepts the y-axis = 4
Using two points on the line, say, (0, 4) and (2, 3):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 4}{2 - 0} = \frac{-1}{2} = -\frac{1}{2} [/tex]
m = -½.
Substitute m = -½, and b = 4 into y = mx + b.
The equation of the line would be:
[tex] y = -\frac{1}{2}x + 4 [/tex]
Can anybody help meeeeeeeeeeee
Answer:
yeah I Wii help you to your problem
Answer:
ok ques
Step-by-step explanation:
Write the linear equation in slope-intercept form 4x + y = 10
Answer:
y=-4x+10
Step-by-step explanation:
you subtract 4x on both sides
Each bus Ms. Robinson rents can seat 42 children. How many buses does Ms. Robinson need to take 135 students on a field trip?
Answer:mrs robinson would need total of four buses
Step-by-step explanation:
this is because if you have 135 and you divide it by 42 it gets you 3.2 and you cant have .2 of a bus so you must round up to the nearest whole number which would be 4
What is the answer answer and plz give me step by step explaining
Answer:
x = 5
Step-by-step explanation:
6 + 8(x - 1) = 2(3x + 4)
We evaluate the numbers in the brackets first.
(8 × x = 8x, 8 × 1 = 8, 2 × 3x = 6x, 2 × 4 = 8)
6 + 8x - 8 = 6x + 8
The left hand side of the equation is not exactly simplified, so we will evaluate it further first.
(6 - 8 = -2)
8x - 2 = 6x + 8
Now we can start shifting the x and the numbers separately.
Note that when pushing 6x from the right side to the left side, it needs to change to a negative 6x and vice versa for -2 turning into +2.
8x - 6x = 8 + 2
Further evaluation
2x = 10
Now we can simply find x.
Note that for this, ×2 becomes ÷2 when it shifts from the left side to the right side of the equation.
x = 10 ÷ 2
Evaluate.
x = 5
? QUESTION
Laura is saving money to buy a bike that costs $125. She has $60 and will save an additional $5 each week. In how many weeks will she have enough money
to buy the bike?
Answer:
13
Step-by-step explanation:
125 - 60= 65
65/5= 13
itll take her 13 weeks
3. The Round Rock Express has a pitcher with an impressive winning record. Opposing teams are attempting to analyze his pitches. The pitcher throws a strike 35of the time. If the pitcher throws a strike the next pitch is a fastbal 40% of the time. If the pitcher doesn't throw a strike the next pitch is a fastball 80% of the time.
Answer:
0.66
Step-by-step explanation:
Given:
Let P(Throwing strike) = 0.35
So,
P(S') = 1 - 0.35 = 0.65
P(A / B) = P(A and B) / P(B)
P(Throwing fastball and thrown strike) = P(F / S) = 40% = 0.4
P(Throwing fastball not thrown strike) = P(F / S') = 80%
P(Throwing fastball not thrown strike) =0.8
So,
P(F and S) = 0.8 x 0.65
P(F and S) = 0.52
P(F) = [P(F / S) x P(S)] + [P(F / S') x P(S')]
= (0.4 x 0.35) + (0.8 x 0.65)
= 0.14 + 0.52
= 0.66
What is the measure of ∠XBC?
m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
m∠XBC =
°
Answer:
m∠XBC = 135
Step-by-step explanation:
What is the measure of ∠XBC?
m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
From the simplified expression, we need to find the value of p first
From the last line we can see that;
2p =94
Divide both sides by 2:
2p/2 =94/2
p = 47
From the expression, m∠XBC =3p-6
m∠XBC = 3(47)-6
m∠XBC = 141 -6
m∠XBC = 135
Hence the measure of m∠XBC is 135
Answer:
135 the person above e is correct
Step-by-step explanation:
Which statement about the value of x is true?
O x>38
Ox<39
Ox=77
OX > 103
Answer:
x = 77 and x > 38
Step-by-step explanation:
Sum of all angles in a triangle is 180.
The angle PNO will hence be:
180 - 38 - 39 = 103 degrees.
The angle PNO + angle x = 180 degrees (straight line)
So 103 + x = 180, therefore x = 180 - 103 = 77.
Which is also greater than 38, so x > 38 is also correct.
The solution is : x = 77 and x > 38
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
Sum of all angles in a triangle is 180.
The angle PNO will hence be:
180 - 38 - 39 = 103 degrees.
The angle PNO + angle x = 180 degrees (straight line)
So 103 + x = 180,
therefore x = 180 - 103 = 77.
Which is also greater than 38,
so x > 38 is also correct.
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B=14 what is 3b-5
Please help me someone
Answer:
37
Step-by-step explanation:
14×1
24×2
42×3
42-5 = 37
The perimeter of parallelogram ABCD is 46 inches. What
is DA?
Answer:
B. 4 inches
Step-by-step explanation:
I got 100% on the quiz on Edg 2020
Answer:
4 inch
Step-by-step explanation:
whats the slope intercept form of 5x-14y=-10
Answer: y = 5/14x + 5/7
Step-by-step explanation: write in slope intercept form y =mx + b
You are w rapping the boxed DVD collection as a present. What is
the least amount of wrapping paper needed to wrap the box?
1.5 in.
8 in.
6 in