Answer:
nth term = 6n + 4 where n = no. of terms.
I hope it will be useful.
Answer:
[tex]a_{n}[/tex] = 6n + 4
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = a₂ - a₁ = 16 - 10 = 6, then
[tex]a_{n}[/tex] = 10 + 6(n - 1) = 10 + 6n - 6 = 6n + 4
A gear rotates eight times every 15 seconds how many seconds does it take to rotate 24 times
Answer:
360
Step-by-step explanation:
Answer:
It would take 45 seconds for a gear to rotate 24 times.
Step-by-step explanation:
8 goes into 24 three times. Just multiply 15 by three.
Hope this helps!
Kevin walked Three-fourths of a mile in 12 minutes. Assuming he walked at a constant speed the entire time, which expression can be used to determine the distance he walked each minute?
12 divided by three-fourths
12 times three-fourths
Three-fourths divided by 12
Four-thirds divided by 12
Find the x and y intercepts of y=-x+6
Answer:
the X intercept may be -1 and yintercept no idea
A store has two different sizes of ice cream the smaller container cost 3.87 for 48 ounces the larger container cost 6.42 which ice cream cost less per ounce
Consider the complete question is "A store has two different sizes of ice cream on sale this week. The smaller container costs $3.87 for 48 ounces. The larger container costs $6.42 for 128 ounces. which ice cream costs less per ounce?"
Given:
The smaller container costs $3.87 for 48 ounces.
The larger container costs $6.42 for 128 ounces.
To find:
Which ice cream costs less per ounce?
Solution:
We know that
[tex]\text{Cost per ounce}=\dfrac{\text{Total cost}}{\text{Number of ounces}}[/tex]
Using this formula, we get
Per ounce cost of small container [tex]=\dfrac{3.87}{48}[/tex]
[tex]=0.080625[/tex]
[tex]\approx 0.08[/tex]
Per ounce cost of larger container [tex]=\dfrac{6.42}{128}[/tex]
[tex]=0.05015625[/tex]
[tex]\approx 0.05[/tex]
Since, 0.08 > 0.05 therefore, the per ounce cost of larger container is less.
Rewrite the radical expression as an expression with a rational exponent.
pls help
Answer:
come on baexz f** me in 69
Answer:
[tex]\sqrt[7]{x^{3} }= x^{\frac{3}{7} }[/tex]
Step-by-step explanation:
In order to solve this question we need to understand the following.
[tex]\sqrt{x}[/tex] = [tex]x^{\frac{1}{2} }[/tex]
[tex]\sqrt[3]{x} = x^{\frac{1}{3} }[/tex]
[tex]\sqrt[4]{x}= x^{\frac{1}{4} }[/tex]
(Notice that the numerator of the fraction is the power of the x that is being squared)
If you need proof here it is.....
[tex]\sqrt{x} = x^{\frac{1}{2} }[/tex]
[tex](\sqrt{x} )^{2}[/tex] = [tex](x^{\frac{1}{2} } )^{2}[/tex]
x = x
Now that we got that out of the way we can rewrite [tex]\sqrt[7]{x^{3} }[/tex] as........
[tex]\sqrt[7]{x^{3} }= x^{\frac{3}{7} }[/tex]
How would you describe the graph of the function in interval 2? Select all that apply.
Answer:
Decreasing
Step-by-step explanation:
If 5x + 2 = 17, then 10x + 4 = 34 True False selle Corporation. All Rights Reserved
Answer:
hope my answer is helpful to you
plz mark me as brainlist and also follow me
(I’ll give brainliest)
Answer:
52.5n+449.85
Step-by-step explanation:
15 x (3.5n +29.99)
15x (3.5n) + 15 x (29.99)
52.5n + 499.85
unrelated but I just had this problem on a homework assignment on the same assignment. Cool coincidence am I right.
Simplify: 3 - ( 5 - 6 / 3 )
Answer:
0
Step-by-step explanation:
3 - ( 5 - 2)
3 - ( 3)
3-3
0
Find the equation of the line specified.
The line passes through the points (-2, 3) and (-4,7)
a. y = -2x-1
y = -4x-1
b. y = -2x +3
d. y = -2x + 7
C.
Please select the best answer from the choices provided
Answer:
A……
Step-by-step explanation:
What is the average rate of change of f(x) = 5x – 7 from x = -3 to x = 7?
Answer:
[tex]f(x) = 5x - 7 \\ change = f(7) - f( - 3) \\ = ((5)(7) - 7) - ((5)( - 3) - 7) \\ = (35 - 7) - ( - 15 - 7) \\ = (28) - ( - 22) \\ = 50 \\ average \: change = \frac{change}{2} \\ = \frac{50}{2} \\ = 25[/tex]
The rate of change of function f(x) = 5x - 7 from x = -3 to x = 7 will be equal to 5.
A function f(x) = 5x - 7 is given which changes from x = -3 to x = 7.
We have to find out the average rate of change for the given function.
What is the average rate of change of function from [tex]x_{1}[/tex] to [tex]x_{2}[/tex] ?
The average rate of change of function from [tex]x_{1}[/tex] to [tex]x_{2}[/tex] can be given by a formula which is [tex]\frac{f(x_{1})-f(x_{2})}{x_{1} - x_{2}}[/tex].
As per the question ;
The function is f(x) = 5x - 7
So,
At x = -3
f(x) = 5 × -3 - 7
f(x) = -15 - 7
f(x) = -22
At x = 7
f(x) = 5 × 7 - 7
f(x) = 35 - 7
f(x) = 28
Let's use the formula to find average rate of change of function ;
i.e.,
= [tex]\frac{f(x_{1})-f(x_{2})}{x_{1} - x_{2}}[/tex]
= [tex]\frac{(28)-(-22)}{7-(-3)}[/tex]
= [tex]\frac{28+22}{7+3}[/tex]
= [tex]\frac{50}{10}[/tex]
= 5
Thus , the rate of change of function f(x) = 5x - 7 from x = -3 to x = 7 will be equal to 5.
To learn more about rate of change of functions click here ;
https://brainly.com/question/19468803
#SPJ2
What is the product of 3.06 and 4.1 rounded to the nearest hundredth?
Answer:
12.55
Step-by-step explanation:
The product of 3.06 and 4.1 rounded to the nearest hundredth is 12.55.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
The given decimal numbers are 3.06 and 4.1.
Now, product =3.06×4.1
= 12.546
To the nearest hundredth is 12.55
Therefore, the product of 3.06 and 4.1 rounded to the nearest hundredth is 12.55.
Learn more about the multiplication here:
https://brainly.com/question/1562995.
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In solving the equation 2x+5=9, which property of equality do we use first? Why?
Please help me as soon as possible
Answer:
A
Step-by-step explanation:
A is the correct answer
Mel works as a delivery person for Amazon. The graph shows a linear model for his delivery times on
different days.
(a) What is the equation of the line, first written in point-slope form and then written in slope-intercept
form? Show how you determined the equation.
(b) Based on the linear model, predict how long it initially took Phillip to deliver his packages.
Approximately how much did his delivery time decrease per day?
Answer:
Step-by-step explanation:
Equation of a line passing through (h, k) in point slope form is given by,
y - k = m(x - h)
From the graph attached,
Slope of the line passing through (6, 12) and (3, 21),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{21-12}{3-6}[/tex]
= -3
Therefore, point - slope form of the line passing through (3, 21) will be,
y - 21 = -3(x - 3)
Now convert this equation in slope intercept form,
y = -3x + 9 + 21
y = -3x + 31
(b). For x = 1 Or day 1
y = -3(1) + 31
y = 28 minutes
Therefore, Phillip took 28 minutes initially to deliver his packages.
Slope of the line states the decrease in the delivery time per day that is 3 minutes per day.
Overview
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Question Progress
Homework Progress
4/28
Expand and simplify (2x - 3)(3x + 4)
Answer:
6x²-x-12
Step-by-step explanation:
(2x - 3)(3x + 4)
6x²+8x-9x-12
6x²-x-12
60 boys in a hostel have food for 30 days. How long would the food last for 72 boys. Tell me how to do it with explanation please
Answer:
The food will last for 25 days with 72 boys
Step-by-step explanation:
Proportions can be used to find the number of days the food will last for 72 boys.
60 boys in a hostel have food for 30 days.
Let x be the number of days for which the food will last
The proportion or product of both scenarios has to be same as the number of days and number of boys are proportional
Which means
[tex]60*30 = 72 * x\\x = \frac{60*30}{72}\\x = 25[/tex]
Hence,
The food will last for 25 days with 72 boys
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
[tex]\displaystyle m=\frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, 40)
Point (20, 50)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]\displaystyle m=\frac{50-40}{20-0}[/tex]Subtract: [tex]\displaystyle m=\frac{10}{20}[/tex]Simplify: [tex]\displaystyle m=\frac{1}{2}[/tex]Express {x+1}{2x-3} as a trinomial.
Answer:
[tex]2x^2 + 5x + 3[/tex]
Step-by-step explanation:
First, expand the original equation:
(x + 1)(2x + 3)
[tex]2x^2 + 3x + 2x + 3[/tex]
Now simplify:
[tex]2x^2 + 5x + 3[/tex]
And that's your answer!
The time of a race is 13.7seconds rounded to 1 decimal place.If the time was x seconds find the inequality in x
Answer:
13.65 ≤ x < 13.75
Step-by-step explanation:
Let x represent the time in seconds. Since the time is 13.7 seconds when rounded to 1 decimal place, hence for this to be possible the minimum value of x is given as x ≥ 13.65 because 13.65 rounded to 1 decimal place is 13.7 seconds. Also, the maximum value of x is given as 13.75 because 13.75 rounded to 1 decimal place is 13.8 seconds.
Therefore the inequality to represent x is:
13.65 ≤ x < 13.75
As an estimation we are told 5 miles is 8 km.
Convert 17.6 km to miles.
Answer:
17.6 kilometers are equal to 11 miles.
Step-by-step explanation:
Given that:
8 kilometers = 5 miles
Unit rate in terms of kilometer.
1 kilometer = 5/8 miles
Now,
We have to convert 17.6 kilometers in miles
17.6 kilometers = [tex]\frac{5}{8}*17.6[/tex]
17.6 kilometers = [tex]\frac{5}{8}*\frac{176}{10}[/tex]
17.6 kilometers = 11 miles
Hence,
17.6 kilometers are equal to 11 miles.
Keiko is getting balloons for her grandfather's birthday party. She wants each balloon string to be 12 feet long. At the party store, string is sold by the yard. If Keiko wants to get 46 balloons, how many yards of string will she need? 1 foot = 1 3 yard
Answer: 184 yards
Step-by-step explanation:
Since she wants each balloon string to be 12 feet long and she wants to get 46 balloons, the total length of strings would be:
= 46 × 12 feet
= 552 feet
Since 1 yard = 3 feet. 552 feet would be converted to yard which would be:
= 552/3
= 184 yards
Help please due soon
Answer:
16
Step-by-step explanation:
D
Pls help me I don’t understand this!!! Happy new year everyone.
Plz answer I will give brainlest tag
Answer:
135/8
Or
16.875
Step-by-step explanation:
(3²-2²)(⅔)^-3
(9-4)(3/2)³
5(27/8)
135/8
16.875
find the inverse of f(x) =X+4/x
Answers and steps in the pic..
there are 2 options....choose what you want..
HELP ME PLEASE!!!!!!!
Answer:
1. (0,0) (3,1) (6,2)
2. proportinal
3. im so sorry but i cant see that one i really am sorry!
Step-by-step explanation:
i hope i helped brainliest?
Will give Brainliest!!!
The ordered pair below represents a point on the line 3y + 4x = 5. Enter the missing y-coordiante for this point in the box.
(−14,?)
Answer:
(-1/4, 2)
Step-by-step explanation:
Substitute the given information into the equation and solve for y.
3y +4(-1/4) = 5
3y -1 = 5 . . . . . . simplify
3y = 6 . . . . . . . . add 1
y = 2 . . . . . . . . . divide by 3
(The other person who said -5 is incorrect and he gave no explination)
4(c - 3)=8 What is the value of the C? i really need help, i will mark brainliest
Answer:
c = 5
Step-by-step explanation:
4 (c - 3) = 8
4c - 12 = 8
+12 +12
4c = 20
c = 5 Check:
4 (5 - 3) = 8
20 - 12 = 8, the answer is correct
steven has £1100
he pays £530 for a new tv
his motrtgage is £480
how much money does he have left after playing for the tv and paying for the tv and playing his mortgage
Answer:
$90
Step-by-step explanation:
$1,100
-$530
-$480
______
$90