Select ALL the correct answers.
Natalie buys a new car. In the first month, the odometer on the car records 800 miles. From past experience, she expects to drive 900 miles per month.
Select all the functions that can be used to find the number of miles, f(n), recorded on the odometer after n months.
Answers
Answer:
[tex]\begin{aligned}\bullet\ &f(1)=800;f(n)=f(n-1)+900, \text{for $n\ge 2$}\\ \bullet\ & f(n)=900n-100\end{aligned}[/tex]
Step-by-step explanation:
See attachment for the figure.
Using arithmetic sequence with a first term of 800 and a common difference of 900. The general form for such a sequence is given by,
an = a1 +d(n -1)
an = 800 +900(n -1) = 900n -100
If n is the function, this can be written as,
f(n) = 900n -100
When considered as a recursive relation, we find the first term is still 800:
f(1) = 800
and that each term is 900 more than the previous one:
f(n) = f(n-1) +900 . . . . for n ≥ 2
You need to consider that huge numbers of the different answer decisions are debasements of either of these structures, so you should look at them cautiously.
Related Questions
What’s the area of the shape
Answers
21.2 because you use the area of a circle formula which is pi times r squared and divide it by four to get each quarter and then multiply by three because there are 3 quarters of the circle.
What is the y-intercept of y=-3x + 6?
A. -6
B. -3
C. 3
D. 6
Answers
Answer:
D. 6
Step-by-step explanation:
the last number in the equation is the y-intercept. The answer properly written would be (0,6). Hope this helped!
Answer:
D
Step-by-step explanation:
To visit his grandmother, Luis takes a train 6.37 kilometers and a car 5.45 kilometers. How many kilometers is Luis journey total?
Answers
Answer:
11.82 km
Step-by-step explanation:
6.37+5.45
at a city hospital 40 boys and 50 girls were born yesterday. what is the experimental probability that the next baby born will be a girl
Answers
Answer:
around 44%
Step-by-step explanation:
You add 40+50 in order to find the total number of babies born. Only 40 of those 90 were girls. Divide 40 by 90 in order to get the decimal .444444. This is turned into a percentage by moving the decimal place right 2 places.
For what values of x'is x2 + 2x = 24 true?
--6 and -4
4 and 6
4 and -6
6 and 4
Next
Save and Exit
Answers
Answer:
[tex] \boxed{Values \: true \: of \: 'x' \: for \: equation \: {x}^{2} + 2x = 24 \: is \: -6 \: and \: 4} [/tex]
Step-by-step explanation:
[tex] = > {x}^{2} + 2x = 24 \\ \\ = > {x}^{2} + 2x - 24 = 0 \\ \\ = > {x}^{2} + (6 - 4)x - 24 = 0 \\ \\ = > {x}^{2} + 6x - 4x - 24 = 0 \\ \\ = > x(x + 6) - 4(x + 6) = 0 \\ \\ = > (x + 6)(x - 4) = 0 \\ \\ = > x + 6 = 0 \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: x - 4 = 0 \\ \\ = > x = - 6 \: \: \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: x = 4[/tex]
Values true of 'x' for equation x² + 2x = 24 is -6 and 4
Vivian red 14 fewer pages than she was assigned to read she read 60 Pages write and solve an equation to find how many pages P Vivian was assigned to read
Answers
Answer:
P=74
Step-by-step explanation:
which is bigger 67/72 or 11/12
Answers
Answer:
[tex]\frac{67}{72}[/tex]
Step-by-step explanation:
Just convert them into rounded decimals:
[tex]\frac{67}{72} = 0.9305555...[/tex]
[tex]\frac{11}{12} = 0.523809...[/tex]
Answer:
67/72
Step-by-step explanation:
What is the interest rate if an $85 loan for 9 months earned $4.78?
6,0
5.7
8.3
7.5
Answers
Answer:
Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months
Step-by-step explanation: Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months, you ...
Answer:
7.5
Step-by-step explanation:
1. Знайдіть периметр паралелограма, сторони якого дорівнюють 5 см і 11 см.
2. Один з кутів ромба дорівнює 53°. Знайдіть інші кути ромба.
3. Катети прямокутного трикутника дорівнюють 12 см і 10 см. Знайдіть довжину медіани, проведеної до меншого з катетів.
4. Знайдіть сторони прямокутника, якщо вони відносяться як
2 : 3, а площа прямокутника дорівнює 96 см².
Answers
Answer:
1) Perimeter of the parallelogram = 32 cm
2) The angles of the rhombus include 53°, 53°, 127° and 127°.
3) The length of the median drawn to the smaller of the legs = 13 cm
4) The sides of the rectangle are 8 cm and 12 cm
1) Периметр параллелограмма = 32 см
2) Углы ромба включают 53 °, 53 °, 127 ° и 127 °.
3) Длина медианы обращена к меньшей из ног = 13 см.
4) стороны прямоугольника 8 см и 12 см
Step-by-step explanation:
English Translation
1) Find the perimeter of the parallelogram, the sides of which are 5 cm and 11 cm.
2) One of the angles of the rhombus is 53 °. Find the other angles of the rhombus.
3) The legs of a right triangle are 12 cm and 10 cm. Find the length of the median drawn to the smaller of the legs.
4) Find the sides of the rectangle if they are related as 2: 3, and the area of the rectangle is 96 cm².
Solution
1) Find the perimeter of the parallelogram, the sides of which are 5 cm and 11 cm.
A parallelogram has each of its opposite sides to be equal in length.
Perimeter of a parallelogram = 2(l + b)
l = 11 cm
B = 5 cm
Perimeter = 2(11 + 5) = 32 cm
2) One of the angles of the rhombus is 53 °. Find the other angles of the rhombus.
A rhombus is a quadilateral with the sum of its internal angles equal to 360°. Also, opposite angles of a rhombus are equal in magnitude.
Let the unknown other complementary angle be x.
53° + 53° + x + x = 360°
2x + 106° = 360°
2x = 360° - 106° = 254°
x = (254°/2) = 127°
The angles of the rhombus include 53°, 53°, 127° and 127°.
3) The legs of a right triangle are 12 cm and 10 cm. Find the length of the median drawn to the smaller of the legs.
The median is the line drawn from the vertex opposite a triangle's side to the midpoint of that side.
The median described is drawn in the attached image to this question.
From the image, the small triangle is a right angled triangle, hence, the length of the median is given by Pythagoras theorem.
(Median)² = 12² + 5² = 169
median = 13 cm
4) Find the sides of the rectangle if they are related as 2: 3, and the area of the rectangle is 96 cm².
Let the breadth and length of the rectangle be x and y respectively.
x:y = 2:3
(x/y) =(2/3)
x = (2y/3)
Area of a rectangle = length × breadth = x × y = xy = 96
x = (2y/3)
(2y/3) × y = 96
y² = (96×3/2) = 144
y = 12 cm
x = (2y/3) = (2×12/3) = 8 cm
Hope this Helps!!!
Someone please help me
Answers
Answer:
Yes.
Step-by-step explanation:
Every X value corresponds with a DIFFERENT Y value.
That is the definition of a function.
why is the power in the united states dived between several branches
Answers
Answer:
To ensure that they all have the equal amount of power; to make sure one branch doesn't have more power than the others.
Each gallon of paint covers 200 square feet. I have to paint one side of a wall that is 12 meters tall and 80 meters long. If a foot is approximately 0.3048 meters, then what is the smallest whole number of gallons I can buy and have enough paint to cover the whole wall? Plz answer immediately, the answer is not 9 gallons.
Answers
Answer:
51 gal
Step-by-step explanation:
Find the area of the wall you need to paint:
12 m * 80 m = 960 m^2
Use conversion rate to convert square meters to square feet (first, make the conversion rate into square meters instead of regular meters):
1 ft / 0.3048 m -> 1^2 ft / 0.3048^2 m^2
960 m^2 * (1 ft^2 / 0.3048^2 m^2)
Square meters cancel out, we are left with square feet:
960 * (1 ft^2 / 0.3048^2) = 10333.354 ft^2
Now, find how many gallons of paint by dividing by 200 square feet:
10333.354 ft^2 / 200 =~ 51.66 gal
Round up to the nearest whole number:
51.66 =~ 51 gal
The smallest whole number of gallons require to paint the wall is 52 gallons.
1 gallon of paint = 200 ft²
I foot = 0.3048 metres
Dimension of wall :
12 metre by 80 metre
Converting the dimension to feet :
12 meter / 0.3084 = 39.370078 feets
80 meter / 0.3084 = 262.46719 feets
Hence, the area of the wall in feet²:
Area = Length × width
Area of wall = 262.46719 × 39.370078 = 10333.3537427408 ft²
Let number of falloms required = x
Since,
1 gallon = 200 ft²
x gallons = 10093.516 ft²
Cross multiply :
200x = 10093.516
x = 10333.35374274082 / 200
x = 51.6667687137041 gallons
x = 52 gallons
Hence, the smallest number of gallons required to paint the wall is 52 gallons of paint
Learn more : https://brainly.com/question/12357849
The first two steps in determining the solution set of the system of equations, y = -x2 + 4x + 12 and y=-3x + 24, algebraically
are shown in the table.
Step
Equation
Step 1
-x² + 4x + 12 =-3x+24
Step 2
x2 - 7x+12-0
Which represents the solution(s) of this system of equations?
(3, 15)
(-4, 36)
(3, 15) and (4, 12)
(-3, 33) and (-4,36)
Answers
Answer:
(3, 15) and (4, 12)
Step-by-step explanation:
x2 - 7x+12 = 0 factors to (x - 4)(x - 3) = 0, and so x: {3, 4}.
Since y= -3x + 24, y = 15 when x = 3 and y = 12 when x = 4. The solutions are thus (3, 15) and (4, 12). This is the third answer choice.
Answer:
see the explanation
Step-by-step explanation:
Y = –x2 + 4x + 12
y = –3x + 24
so
–x2 + 4x + 12 = –3x + 24
x^2 -7x + 12 = 0
(x - 4)(x - 3) = 0
x - 4 =0; x =4
x - 3 = 0; x= 3
y = –3x + 24 = -3(3) + 24 = -9+24 = 15 (when x = 3)
y = –3x + 24 = -3(4) + 24 = -12+24 = 12 (when x = 4)
answer
(3, 15) and (4, 12)
(give this a heart cause why not)
what’s the answer to 2(12+6)+3(68-13)
Answers
Answer:
201
Step-by-step explanation:
2 · 18 + 3 (68-13)
2 · 18 + 3 · 55
36 + 3 · 55
36 + 165
201
The long side of a rectangle is 4 times the side of a square of length 3. What is the length of the side of the rectangle?
Answers
Answer:
l = 12
Step-by-step explanation:
Let l=length
The side of a square s=3
l = 4s = 4*3 = 12
Answer:
[tex]12[/tex]
Step-by-step explanation:
[tex]length = 4 \times side \\ = 4 \times 3 \\ = 12[/tex]
hope this helps
brainliest appreciated!
good luck! have a nice day!
Are those line below parallel,perpendicular,intersecting? Explain how you know.
Answers
Answer:
These are paralell because they are even to eachother
Step-by-step explanation:
perpendicular means that they are like a plus sign
and intersecting means they intersect at some point.
Answer:
The answers is They are parallel because they are even and there is no difference between the two.
Hope This Helps!!!!! :)
if ZA and ZB are supplementary angles. if mZA = (3x-23) and mZB= (2x-12) then find the measure of ZB
Answers
Answer:
mZB= 74
Step-by-step explanation:
ZB+ZA=180
3X-23+2X-12=180
5X-35=180
5X=180+35
5X=215 (then divide both sides by 5 to x be left alone.)
X=43....so ZB=2(43)-12
=86-12=74
What is the slope of the line that
(2,4), (6,2)
Answers
Look at the attached picture
Hope it will be helpful to you....
-pragya~~Help please! I really don't know this! I will mark brainliest if you get it right!!!
Each of the dimensions of a pyramid are doubled. What is true about the volume of the new pyramid?
A) The new pyramid has a volume that is One-half the volume of the original pyramid.
B) The new pyramid has a volume that is 2 times the volume of the original pyramid.
C) The new pyramid has a volume that is 4 times the volume of the original pyramid.
D) The new pyramid has a volume that is 8 times the volume of the original pyramid.
Answers
Answer:
D
Step-by-step explanation:
Given that the scale factor of the new to old pyramid is k = 2
Then the volume of the new pyramid is k³ times the volume of the original.
k³ = 2³ = 8
The new pyramid has a volume that is 8 times the volume of the original D
Use the graph to determine which values can be used to complete the equation x^2/a^2-y^2/b^2=1. a= b=
Answers
Answer: a: 5
b: 12
Step-by-step explanation:
The required value of a and b is 4 and 12 respectively.
[tex]x^2/a^2-y^2/b^2=1.[/tex]
Hyperbola is cross-section of cone that is obtained by cutting cone at certain angle with horizontal.
[tex]x^2/a^2-y^2/b^2=1.[/tex]
Since, above equation is of hyperbola.
a = semi major axis and b = semi minor axis.
From graph, values of a and b is 4 and 12 respectively.
Thus, the required value of a and b is 4 and 12 respectively.
Learn more about hyperbola here:
https://brainly.com/question/27799190
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B) David and Andrew are traveling to a Mathematics conference. David travels 110 miles in the same time that Andrew travels 140 miles. Andrew travels 15 miles per hour faster than David. Find the average rate of each person.
Answers
Answer:
David's average speed is 55 mph and Andrew's average speed is 70 mph
Step-by-step explanation:
Let David's speed be s.
Average speed is given as:
speed = distance / time
They both spent the same time, t.
David's speed is:
s = 110 / t
=> t = 110 / s
Andrew travels 15 mph faster than David.
Andrew's speed is:
(15 + s) = 140 / t
=> t = 140 / (15 + s)
Therefore, since they spent the same time:
110 / s = 140 / (15 + s)
Cross multiply:
110(15 + s) = 140s
1650 + 110s = 140s
1650 = 140s - 110s
30s = 1650
s = 1650 / 30
s = 55 mph
Andrew's speed is:
15 + 55 = 70 mph
Therefore, David's average speed is 55 mph and Andrew's average speed is 70 mph.
Drew rolls two number cubes 75 times. Is it likely that she will get a sum of 3 more than 5 times?
Answers
Answer:
Yes, She is
Step-by-step explanation:
There are 36 possible outcomes of rolling two dice cubes once. For every roll, the probability that she would get the sum of 3 twice. So for 75 rolls, The probability of getting a sum of 3 = 2 * 75 = 150
In the problem 8^3 - 10 × 5 - 4, which step should you perform first?
Answers
Answer:
PEMDAS
Step-by-step explanation:
P=Parenthesis
E=Exponent
M=Multiply
D=Division
A=Addition
S=Subtract
The first step you should perform is the exponent 3 of base 8.
What is BODMAS Rule?BODMAS rule is the rule used when solving expressions involving more than one operations.
It is the abbreviation of Brackets, Order, Division, Multiplication, Addition, Subtraction, which is the order of the operations to be done.
The given expression is 8³ - 10 × 5 - 4.
We know the rule of BODMAS.
since the given expression includes more than one operations, we have to follow the rule of BODMAS.
There are no brackets in the expression.
There is a power of 3 for the base 8.
We should perform that in the first step.
8³ - 10 × 5 - 4 = 512 - 10 × 5 - 4
Next we do the operation of multiplication.
512 - 10 × 5 - 4 = 512 - 50 - 4
There is subtraction.
512 - 50 - 4 = 566
Hence the operation of the power is done first.
Learn more about BODMAS here :
https://brainly.com/question/16738857
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Liz flips a coin 40 times. The coin lands heads up 24 times and tails up 16 times. What is the theoretical probability of the coin landing heads up
Answers
Answer:50
Step-by-step explanation:
Because I just got it right
Answer:
50%60%LessStep-by-step explanation:
I did the quiz
A shelter has 25 bags of cat food. Each serving of cat food is 1/8 of a bag.
How many servings of cat food are there in the bags in the pantry?
Answers
Answer:
200 servings.
Step-by-step explanation:
Divide number of bags by how much of a bag a serving is.
25/1/8
Multiply original number by reciprocal of what you are trying to divide it by. (This makes dividing fractions easier)
25*8/1=200
There are 200 servings of cat food.
Answer:
200
Step-by-step explanation:
i took the test hope this helps
what is the positive slope of the asymptote of (y+11)^2/100 - (x-6)^2/4 = 1? The positive slope of the asymptote is
Answers
Answer:
5
Step-by-step explanation:
its 5 on Edge just took the test!
Answer:
It's 5
Step-by-step explanation:
Just like the person above me, I did it on edge...
7/6r=-1/2
HELP!! WILL GIVE BRAINLIEST!!!
Answers
1/7*7r=6/7*(-1/2)
R=6/7*(-1/2)
R=-6/7*1/2
R=-3/7
Mr.smith brings 200 fluid ounces of apple juice to share with his class.How much apple juice did he bring in cups
Answers
Answer:
25
Step-by-step explanation:
8 fluid ounces = 1 cup so 200/8 = 25
All the children of a class were asked to choose between the cartoon shows 'Shin Chan' and 'Tom and Jerry'.The ratio of children who selected the cartoon 'Shin Chan' to those who selected the cartoon 'Tom and Jerry', was 3:1.
If 45 kids selected 'Shin Chan', how many students are there in the class totally?
Answers
Answer:
There were 60 kids in class.
Step-by-step explanation:
Since the kids had two choices and the ratio between them was for every 3 children that selected "Shin Chan" only 1 selected "Tom and Jerry", then in order to calculate the number of children in the class if 45 kids selected "Shin Chan", we first need to calculate the number of children that selected the other option. To do that we divide the number by 3. We have:
children(Tom and Jerry) = children(Shin Chan)/3
children(Tom and Jerry) = 45/3 = 15
Therefore the number of children in the class is:
children(class) = children(Tom and Jerry) + children(Shin Chan)
children(class) = 15 + 45 = 60
There were 60 kids in class.
Which function passes through the points (2, 3) and (4, 4)?
Options are shown in the pic
*WILL MARK BRAINLIEST* - 20 POINTS
Answers
Answer:
C
Step-by-step explanation:
When you substitute the coordinate values into the equation, you should get an number that is equal on both sides. This occurs only in equation C.
Answer:
C,E and i would kinda think also B
but idk if u can choose three so yh
and i hope its right bc i remember doing this but my memory is vauge :)
Step-by-step explanation: