Answer:
149
Step-by-step explanation:
nth term = 4n - 3 ..............(1)
Now,
For The tern closer to 150
150 = 4n - 3
or, 153 = 4n
or, n = 38.25
Now,
Since n can not be in decimal,
Put n = 38 in (1) (Rounding off 38.25 to 38)
or, nth term = 38*4 -3
= 152 - 3 = 149
∴ The number of sequence closer to 150 is 149
Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walks and then a certain dollar amount for each additional mile he walks. Based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $23 to the charity.
Answer:
total amount donated when aaron walks n miles = $2 + $3(n-1)
Step-by-step explanation:
Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walks and then a certain dollar amount for each additional mile he walks. Based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $23 to the charity.
Write a formula that can be used to determine the amount of money this sponsor donates when Aaron walks n miles.
total amount sponsor pays = base donations + (additional miles walked after first mile x amount paid)
when Aaron walks 8 miles
additional miles = 8 - 1 = 7
23 = 2 + 7x
23 - 2 = 7x
x = 3
additional amount paid is $3
total amount donated when aaron walks n miles = $2 + $3(n-1)
A rectangle measures 2
1
2
meters by 1
3
4
meters. What is its area?
Answer:
28408
Step-by-step explanation:
212x134=28408
~Help please and ty~ ✨Brainilist✨
Answer:
-37
Step-by-step explanation:
-37/100 is rational.
Answer:
-37/100
Step-by-step explanation:
In a large population of adult rabbits, the mean ear length is 4.5 inches with standard deviation 1.25 inches. Suppose 16 rabbits from this population are randomly selected for an experiment. The approximate distribution of the sample mean ear length is:
Answer:
(4.5, 0.3125)
Step-by-step explanation:
given that
The mean is 4.5 inches
the standard deviation is 1.25 inches
and, the sample of 16 rabbits is selected
we need to find out the approximate distribution
so,
= (4.5, 1.25 ÷√16)
= (4.5, 0.3125)
hence, the same is to be considered
) As an ice cube melts its surface area is decreasing at a rate of 6cm2/sec. Find the rate at which the length of each side is decreasing at the moment when each side has length 2 cm. [Hint: a cube has 6 sides and each side has area x 2 where x is the side length]
Answer:
The rate of decreasing of the length is 0.25 cm/s.
Step-by-step explanation:
The surface area of the ice cube is:
[tex]A_{ice}=6x^{2}[/tex]
Where x is the side of the cube.
Let's take the derivative of A with respect to "t" to get the rate of change.
[tex]\frac{dA_{ice}}{dt}=12x\frac{dx}{dt}[/tex]
We know that dA/dt = 6 cm²/s and x is 2 cm, so we just need to solve it for dx/dt which is the rate change of the length.
[tex]6=12(2)\frac{dx}{dt}[/tex]
[tex]\frac{dx}{dt}=\frac{1}{4}\: cm/s[/tex]
Therefore, the rate of decreasing of the length is 0.25 cm/s.
I hope it helps you!
CAN SOMEONE ANSWER THIS?
tan ( 37 ) = x / 12
x = 12 * tan( 37 )
An observer in a blimp sights a football stadium at a certain angle of depression. If the blimp is at an altitude of 1600 ft and the horizontal distance between the blimp and stadium is 2372 ft. Determine the angle of depression from the blimp to the stadium to the nearest degree.
Answer:
http://maggieevans.weebly.com/uploads/8/3/6/6/8366984/unit_2_test_review_answers.pdf
Step-by-step explanation:
The link is there it might have some other answers scroll down on the page link. No this is not a scam i promise <3
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
X+7
X+1
Area=
ASAP!!!!!!
Answer:
Area = x² + 8x + 7
Step-by-step explanation:
Area of a rectangle formula = L * W
Length (L) of the given figure = (x + 7)
Width (W) of the given figure = (x + 1)
Area = L * W
Area = (x + 7) * (x + 1)
=> x * x = x²
=> x * 1 = 1x or x
=> 7 * x = 7x
=> 7 * 1 = 7
Combining it all together;
Area = x² + 1x + 7x + 7
Combine the like terms:
Area = x² + 8x + 7
Hope this helps!
The area of the entire rectangle in the polynomial form will be x² + 8x + 7.
What is the area of the rectangle?Let W be the rectangle's width and L its length. The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be given as,
Area of the rectangle = L × W square units
The dimensions of the big rectangle are x + 1 high and x + 7 long. Then the area of the rectangle is calculated as,
A = (x + 7)(x + 1)
Simplify the equation, then we have
A = (x + 7)(x + 1)
A = x² + 7x + x + 7
A = x² + 8x + 7
More about the area of the rectangle link is given below.
https://brainly.com/question/20693059
#SPJ2
(ᗒᗣᗕ)՞“
Plz help me!!...
Answer: 200
Step-by-step explanation:
You see that from Monday to Tuesday they traveled 150 miles. By Wednesday it goes up 25. 150+25 = 175. By Thursday it goes up 25 more miles. 175+25=200.
What is the volume of the cone below?
O A. 396pie units 3
O B. 132 units 3
O C. 792pie units3
O D. 264pie units 3
Answer:
D. 264π units³
Step-by-step explanation:
1/3(πr²h)
1/3(π•6²•22)
1/3(π•36•22)
1/3(π•792)
264π
A skateboard ramp rises 2 feet for every 7 feet measured horizontally. What is the slope?
Numerical Response
15b - 6 - 3b + 10
This polynomial simplifies to the form
nb + m
then n + m=?
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]15b - 6 - 3b + 10 \\ 15b - 3b - 6 + 10 \\ = 12b + 4[/tex]
12b + 4 is in the form nb + m, where,
n = 12m = 4So,
[tex] = n + m \\ = 12 + 4 \\ = 16[/tex]
✐ 16 is the correct answer.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
A fruit salad recipe calls for 3/4 pound of apples and 2/5 pound of dates. What is the least common denominator of the fractions?
Group of answer choices
Answer:
20
Step-by-step explanation:
5 and 4 have no common factors until they are multiplied by each other. So if you were to convert your existing measurements, you would do the following.
(3/4) x (5/5)
(2/5) x (4/4)
Giving you 15/20 and 8/20
Need help fast please thanks
Answer:
c = 41 ft
Step-by-step explanation:
To solve this problem, we can use the pythagorean theorem, which is defined by the formula [tex]a^2+b^2=c^2[/tex]. We are given both the lengths of the legs, so all we need to do is to plug them both in and solve for c:
[tex]9^2+40^2 = c^2\\c^2 = 81 + 1600\\c^2 = 1681\\c = 41[/tex]
This is the first option.
A mixed number has a whole number part and a fractional part.
O A. True
O B. False
Answer: True
Step-by-step explanation:
The statement that a mixed number has a whole number part and a fractional part is true.
The mixed number is made up of a whole number, and a proper fraction. A mixed number simply means a number that is between any two whole numbers. Examples of mixed numbers are 4¾, 7½ etc.
This line is parallel to the line 2x + 6y = 12.
Answer:
y = 1/3x + 4 1/3
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
[tex]6y = - 2x + 12 \\ 3y = - x + 6 \\ y = - \frac{1}{3} x + 2[/tex]
Evaluate 3x + y if x = 1.5 and y = 1/2
Step-by-step explanation:
3x + y
3(1.5)+0.5
=5
!!!!!!!!!!
Answer:
5
Step-by-step explanation:
3x + y = ?
3 (1.5) + 1/2 = ?
4.5 First let's convert 4.5 into a fraction
4.5 = [tex]\frac{9}{2}[/tex] Then convert it has a mixed number
[tex]4\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex] = 5
WILL GIVE U BRAINLIEST
True or False: All obtuse triangles are scalene?
Answer:
False
Step-by-step explanation:
an obtuse triangle maybe isosceles or scalene
Last Question Plz Help
Answer:
this is good looking nice photo but li can't give you answer of that sorry.
Step-by-step e this https://www.commonlit.org/en/students/student_lesson_activities
A jar has 1 white marble and 2 red marbles in it. If Jerry picks out 2 marbles without looking inside, what is the probability that he will pick two of the same color?
A. 1/3
B. 1/2
C. 2/3
D. 3/2
Answer:
C) 2/3
Step-by-step explanation:
The 2 represents the two Jerry picked out and the 3 represents the total amount of marbles.
Hope this helped :)
Answer:
A. 1/3
Step-by-step explanation:
Chance of red on one marble
2/3
Chance of red on second marble
1/2
Chance both red
2/3 * 1/2 = 1/3
Find the quotient of these complex numbers (6-I) divided by (4+3i)=
Answer:
[tex]\frac{21}{25} -\frac{22}{25} i[/tex]
Step-by-step explanation:
We can start by writing the division as a fraction:
[tex]\frac{6-i}{4+3i}[/tex]
In order to rationalize the denominator, we need to multiply by the conjugate:
[tex]\frac{6-i}{4+3i} *\frac{4-3i}{4-3i}\\\\\frac{(6-i)(4-3i)}{4^2-(3i)^2}\\\\\frac{24-18i-4i+3i^2}{16+9}\\\\\frac{24-22i-3}{25}\\\\\frac{21-22i}{25} \\\\\frac{21}{25} -\frac{22}{25} i[/tex]
Hi plz help, if you can ill mark you 5 starz! :)
Answer:
Part A = A
Part B - 308
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
20, 15, 10
Answer:
a. T² - T¹ = d ( A. P) -5
b. T²/T¹ = r (G. P) 3/4
Step-by-step explanation:
a. 15 - 20 = -5
b. 15/20 = 3/4
Answer:
This is an arithmetic sequence and the common difference is equal to -5.
Mike has a bank account whose balance is represented by A(t)=10,000*3.138^t. Where t is in years. Write the function so it reflects the monthly rate of interest . Around the nearest percent
9514 1404 393
Answer:
A(m) = 10000×1.10^m; 10% monthly interest
Step-by-step explanation:
If t is the time in years and m is the corresponding time in months, then we have ...
m = 12t
t = m/12
So, the balance is ...
A(t) = 10000×3.138^t
A(m) = 10000×3.138^(m/12) = 10000×(3.138^(1/12))^m
A(m) = 10000×1.10^m
The monthly interest rate is 10%.
_____
The monthly growth factor 1.10 is 1 more than the monthly growth rate.
growth rate = growth factor -1 = 1.10 -1 = 0.10 = 10%.
Harvey is often late for work. He leaves home late 60% of the time, but then drives very fast. This gives him a 50% chance of getting to work on time. When Harvey leaves home on time, he drives so slowly that he is late 70% of the time. What is the probability that Harvey left home on time if he gets to work on time
Answer:
40%
Step-by-step explanation:
The average domestic economy car gets around 30.9 miles per gallon (MPG) with a standard deviation of 2.88. Suppose domestic manufacturers all vow to increase fuel economy over the next 2 years. If successesful, 2.9 is added to every observation in the dataset. What is the new mean
Answer:
33.8
Step-by-step explanation:
Given that :
Initial Average miles per gallon = 30.9
Uniform value added to each data in the set = 2.9
The mean value of a dataset shifts by the uniform value added to each value in the dataset. This is always true whenever a uniform value is added to values across a dataset irrespective of the number of samples.
Hence
Initial mean. + uniform Value
30.9 + 2.9 = 33.8
. The volume of a box is 405 cubic units. The length is x units, the width 4 units greater than the length, and the height is 9 units. Find the length and width of the box.
Answer:
length = 5
width = 9
Step-by-step explanation:
V = lwh
let 'x' = length
let '4+x' = width
9 = height
405 = 9x(4+x)
405 = 36x + 9x²
this is a quadratic equation: 9x² + 36x - 405 = 0
factor out a 9 to get:
9(x² + 4x - 45) = 0
9(x-5)(x+9) = 0
one root is 5 and the other is -9
since distance cannot be negative we use 5 as the length and 9 is the width
X - 13 < -11 Does anyone know this
Answer:
x < 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
x - 13 < -11
Step 2: Solve for x
[Addition Property of Equality] Add 13 to both sides: x < 2Here we see that any value x smaller than 2 would work as a solution.
help? (i mark brainlist if available)
Answer:
X < 120
Step-by-step explanation:
.....................
Answer:
option D
Step-by-step explanation:
X should be less than or equal to $120.00
will give more points if correct
Answer:
REVENGE
Step-by-step explanation: