Answer:
C) 9n=45-5(n-5)....…...….......
The formula for an arithmetic sequence that begins 45, 40, 35, 30, ... will be an = 45-5(n-1). The correct option is C.
What is an arithmetic sequence?An arithmetic sequence is a series of numbers in which the difference between the next term to its previous term remains constant for the whole series. This difference is called a common difference.
Given that the arithmetic series is 45, 40, 35, 30,.. Here in the series, the first term is 45 and the common difference is d = 5.
The formula for the nth term in the arithmetic series is given below:-
an = a₁ + d ( n - 1 )
Substitute the values in the given formula above.
an = a₁ + d ( n - 1 )
an = 45 + 5 ( n - 1 )
Therefore, the formula for an arithmetic sequence that begins 45, 40, 35, 30, ... will be an = 45-5(n-1). The correct option is C.
The correct options are given below:-
a) an = 40+5n
b) an = 50-51
c) an = 45-5(n-1)
d) an=45-5n
To know more about arithmetic series follow
https://brainly.com/question/6561461
#SPJ2
what is the end behavior of f(x)=√2x+4
Answer:
f'(x)= -x
Step-by-step explanation:
f'(x)= -1/2(2x)
f'(x)= -x
the diameter of a circle is 4 in. find its area in terms of pi
Step-by-step explanation:
A ≈12.57in²
d = Diameter
Using the formulas
A=πr2
d=2r
Solving forA
A=1/4πd²=1/4·π·4²≈12.56637in²
Answer:
A = 4π in²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Here d = 4, then r = 4 ÷ 2 = 2
A = π × 2² = 4π in²
This question has four parts.
32 Colton is heating a pot of water. He records the temperature of the water in
the pot every minute. This equation models Colton's data, where x represents
the number of minutes the water has been heated, and y represents the
temperature of the water in degrees Fahrenheit.
y = 7.5x + 40
What is the temperature in degrees Fahrenheit of colton's pot of water after 16 minutes. Hi Ayer boils at a temperature of 212 after 16 minutes of heating how much additional time to the nearest minute will be needed for the water to boil.
Answer:
Step-by-step explanation:
PART A
7.5 represents the ounces of water heating up inside the pot.
PART B
40 in the equation will represent the starting point. It can be described as where the temperature started.
PART C
The temperature, of Colton's pot of water after 16 minutes will be 120° 7.5(16) = 120 7.5 being the ounces of water and 16 being minutes.
PART D
After 16 minutes of heating, about 13.3 as additional time will be added for the water to start boiling at 212°.
The temperature in degrees Fahrenheit of colton's pot of water after 16 minutes is 160° F. The additional time to the nearest minute will be needed for the water to boil is 7 minutes approximately.
How to evaluate a given mathematical expression with variables if values of the variables are known?You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
For this case, it is specified that:
y = 7.5x + 40 ( where x = number of minutes the number of minutes the water has been heated, and y represents the temperature of the water in degrees Fahrenheit.)So, if the water is boiling for x = 16 minutes, then the temperature would be:
[tex]y = 7.5 \times 16 +40 = 160^\circ \: \rm F[/tex]
Also, we need to make the temperature reach to 212 degree Fahrenheit after 16 minute of boiling.
Let it takes T time (in minutes more) to reach 212 degree Fahrenheit, then: y = 212, x = 16 + T
Putting these values in the equation, we get:
[tex]y = 7.5x + 40\\212=7.5\times(16+T) + 40\\212 = 120 + 7.5T + 40\\7.5T = 212-160\\\\T = \dfrac{212-160}{7.5} = \dfrac{52}{7.5} \approx 6.93 \: \rm minutes \approx 7 \: \rm minutes[/tex]
Thus, the temperature in degrees Fahrenheit of colton's pot of water after 16 minutes is 160° F. The additional time to the nearest minute will be needed for the water to boil is 7 minutes approximately.
Learn more about evaluating a function at a value here:
https://brainly.com/question/2753269
A circle has an area of 25pi Find the radius of the circle.
A. 5
B. 10
C. 25
Answer:
A. 5
Step-by-step explanation:
Given the area of the circle is 25pi. We will divide by pi. Then, the radius of the circle is r= 5.
If the Volume of a rectangular prism is 420 cubic units, what is its
Volume if one dimension is halved, a second dimension is reduced
to one-third it original length, and a third dimension remains
unchanged?
Answer:
1/2
Step-by-step explanation:
I’m having trouble understanding this
(5-3i)+(2+6i)
Answer:
the answer should be 7+3i
Mary paid $14.70 for 3.5 pounds of tomatoes. Create an equation that models the relationship between the total amount Mary paid and x, the price per pound of tomatoes.
The length of a rectangular table is 4 inches less than twice its width. If the perimeter is 70 inches, find the dimensions of the table. Let x be the length of the table and y be the width of the table. The equation tells the relationship between the length and width of the table. The relationship between the perimeter and the length and width is This system of equations can be solve by the following two equations. The solution is
The length of the table is 22 inches and the width is 13 inches.
What are simultaneous equation?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
We are given that;
The set of equations
Now,
To solve it, you can use the substitution method. That is, you can substitute x = 2y - 4 into the second equation and get:
70 = 2(2y - 4) + 2y
Simplify and solve for y:
70 = 4y - 8 + 2y
70 = 6y - 8
78 = 6y
y = 13
Now plug y = 13 into the first equation and solve for x:
x = 2(13) - 4
x = 26 - 4
x = 22
Therefore, by the equation the answer will be 13 inches.
To learn more about simultaneous equations :
brainly.com/question/16763389
#SPJ2
Factor out the gcf from 6x10 - 96x2
Answer:
6 x ^2
Step-by-step explanation:
The ratio of girls to boys is 3:5 . If there are 15 boys in the classroom, how students are there total?
Answer:
there are 15 boys and 9 girls, therefore, there are 24 students in total
Step-by-step explanation:
there would be a total of 24 students
375 fish are swimming in a school. First, 47 fish swim away. Then 116 more fish join the school. How many fish are in the school now
Answer:
The answer is 444.
Step-by-step explanation:
First, you do 375 - 47 because 47 swam away, decreasing the amount of fish that are swimming in a school. Then, 116 fish come back to swim so you add 116 to get 444.
There are 444 fish in the school now.
What is Unitary Method?The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value.
The unitary approach is used when we have several goods with varying values in our possession. To get the value of one unit, we simply divide the total value by the number of units.
We have,
375 fish are swimming in a school.
First, 47 fish swim away.
Then 116 more fish join the school.
So, the number of fish in the school now
= 375 - 47 + 116
= 444 fish
Thus, there are 444 fish in school now.
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
Calculate the volume of the rectangular prism. Show your work on the workspace and put your final answer in the answer box. You don't need to put your answer into simplest form.
Answer:
0.21 or 21/100
Step-by-step explanation:
All you have to do is find the decimal to each fraction the multiply to get 0.21
What is the volume of the solid figure below? no fake answers
Okay so let's break this down into TWO shapes :
A being the top shape and B being the bottom one.
【☆】★【☆】★【☆】★【☆】★【☆】
Volume of A
5 * 2 * 2 - 20 (using the formula length * width * height)
Volume of B
4 * 6 * 2 = 48 (using the formula l*w*h)
Add both of these volumes together to get the volume of the total shape : 68cm cubed (I don't know how to add units on this keyboard)
【☆】★【☆】★【☆】★【☆】★【☆】【☆】★【☆】★【☆】★【☆】
Answer:
68cm cubed
Step-by-step explanation:
An isometric transformation is applied to a trapezoid to create a parallelogram. What is the length of JK? 6 cm 7 cm 10 cm 13 cm
Answer:
C). 10 cm
Step-by-step explanation:
A Trapezoid is characterized as a quadrilateral having two parallel(non-adjacent) sides. While an isometric transformation includes a geometric system having three equal axes lying at right angles to one another. In order to convert the trapezoid into a parallelogram, the length of JK must be 10cm(8 + 2) so that opposite edges are of equal length with an angle of 90°. Thus, option C is the correct answer.
Write 47/7 as a mixed number
answer is 6 5/7
Step-by-step explanation:
hope this helps
Which of the following expressions is equal to -X2 -81?
Answer:
you have to add an image
Step-by-step explanation:
but it could be (-x+9)(x-9) if thats an option
Answer:
x = -9
Step-by-step explanation:
-X2 -81=0
x2+81=0
x = -9
A tennis ball has a radius of about 1.4 inches What is the volume of the tennis ball to the nearest half inch.? Use 3.14 as an approximation for
Answer:
Volume of tennis ball = 11.49 inch³
Step-by-step explanation:
Given:
Radius of tennis ball = 1.4 inches
Value of π = 3.14
Find:
Volume of tennis ball
Computation:
Volume of sphere = [4/3][π][r]³
Volume of tennis ball = [4/3][π][Radius of tennis ball]³
Volume of tennis ball = [4/3][3.14][1.4]³
Volume of tennis ball = [1.333][3.14][1.4]³
Volume of tennis ball = [1.333][3.14][2.744]
Volume of tennis ball = [4.1856][2.744]
Volume of tennis ball = 11.4852
Volume of tennis ball = 11.49 inch³
Which of the following is not equal to angle 6? A.1 b.2 c.3 d.7
Answer:
A 1
Step-by-step explanation:
please mark this answer as brainliest
hii please help i’ll give brainliest
Answer:
its the last one
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
What is the total weight of 10 buses that each weigh 12 1/3 tons?
Answer:
123 tons
Step-by-step explanation:
1) Convert 12 1/3 tons to a decimal - 12.3
2) multiply 12.3 by 10 - 123 tons
Answer:
123.333333 short tons
Step-by-step explanation:
In the picture below, what is the value of x?
с
D
Х
9
E
10
115
А
В
8
10
ОООО
с
14
d
5
Answer: 9
Step-by-step explanation:Because you have to loom at the answer
a car travels 125 miles in 3 hours how far will the car travel in 5 hours. unitary method
You want to know how many of the students at your school eat lunch everyday. Of the 3545 students you randomly ask 300. 220 say yes, 70 say no and 10 don't know. Based on your survey what is the best estimate of the number of students who eat lunch everyday?
a.) 3300
b.) 2600
c.) 827
d.) 1500
(no links please!)
Answer:
B) 2600
Step-by-step explanation:
Set up a proportional equation and solve:
220/300=x/3545
(220)(3545)=300x
779900=300x
2599.666=x
2600=x
Your best estimate is B) 2600
PLSS HELPP!!! I WILL MARK BRAINLIEST
what would type of quadrilateral would A(2, 3) B(-1, 4) C(0, 2) D(-3, 3) create?
Answer:
Parallelogram
Step-by-step explanation:
How many cars can Sparkle Car Wash clean per hour, rounded to the nearest tenth
rouridad
Please help! I'm not really good at math-
Suppose 3^(r) = 19. What is 3^(r+1)?
Will give brainliest...
Answer is 58.3
---------------------------------------------------------
3^(r)=19
r=2.7(about)
3^(2.7+1)
is about 58.3 (rounded to the nearest tenth)
-------------------------------------------------------------
This was a really hard question so I may be wrong but I hope this helps
Answer:
57
Step-by-step explanation:
If 3^r=19, then 3^(r+1)=3^r × 3=19 × 3=57
Find the surface area of the pyramid. 9 m 9 m 7.79 m
Step-by-step explanation:
The answer is 70.11 because of the surface and its a pyramid
2/5 of the product of 5/6 and 42
no links plz and explain
10 pts
Answer:
140
Step-by-step explanation:
first you take the product of 5/6 and 42/1, which is 210/6.
Then you devide that with 5, 210/6/5 = 210/30 or 210/6 . 1/5 = 70.
Next you multiply that with 2; 70 . 2 = 140.
There you go
4.496
0.1%
1.7%
0.1%
4.4%
1.79
T
1.5 2 2.5
-4
-3.5 -3 -2.5
A car company wants to predict the amount of money people with children are willing to spend to add video entertainment systems to their vehicles.
The company hires a research firm to conduct a random survey and provide predictive statistics. The firm indicates that its sample data reflects a
normal population distribution. On average, the parents surveyed are willing to spend $650 for an entertainment system. The research firm also
reports there are a certain percentage of people likely to spend between $325 and $975, which is within a 1.5 standard deviation (plus or minus) from
the average. What percent of the population falls within this range?
A
50%
B
68%
с
87%
D
93%
The 12 department chairs at Cedar H.S. represent the teaching staff. The principal assigns each chair a number and uses a random number generator to select 2 chairs to participate in a retreat at the state capital. Complete the sentence. The scenario is or is not a simple random sample because every group of size 2 in the population has or does not have an equal chance of being selected.
Answer:
is
has
Step-by-step explanation:
Answer:
here's the answer!