Answer:
25
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n- 1)d
where a₁ is the first term and d the common difference
Here d = 5, then
a₁₈ = a₁ + 17d = a₁ + 85
a₁₃ = a₁ + 12d = a₁ + 60
Thus
a₁₈ - a₁₃
= a₁ + 85 - a₁ - 60
= 25
Which situation is best modeled with a division expression? the total cost of 4 pints of strawberries that sell for $3 each the cost per pint of 3 pints of blueberries if the total cost was $6 the cost per pint of raspberries after applying a $1 coupon if the normal price was $3 each the total cost of a pint of blackberries that sells for $3 and a pint of cherries that sells for $4
Answer:
the cost per pint of 3 pints of blueberries if the total cost was $6
Step-by-step explanation:
This is the correct answer
I hope this helps you!
Answer:
C
Step-by-step explanation:
atrain travel 120km in 3hour how long would it take to cover distance of 480km?
Answer:
It would take 12 hours to get to 480 km.
Step-by-step explanation:
if 120km is 3 hours meaning 40km per hour
that would mean that 40 x 12 = 480
1 hour = 40km
2 hours = 80km
3 hours = 120 km
what is 02.15cm in meters
Answer:3200
Step-by-step explanation:
When all the values in a data set are written in order from least to greatest, the value that is in the middle, with an equal number of values below it and equal number of values above it, is called the _____ median mean mode range
Answer:
Median
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints. (1, 1) and (7,7)
You have a handful of dimes and quarters that totals 26 coins and is worth $5.15. How many of each do you have?
Answer:
9 dimes and 17 quarters
Step-by-step explanation:
9+17=26 coins
9 dimes = 90 cents
17 = 425 cents
90+425= 515 cents or $5.15
Hope this helps! :)
Which set of equations is enough information to prove that lines a and b are parallel lines cut by transversal f? m∠4 = 110° and m∠3 = 70° m∠1 = 110° and m∠2 = 110° m∠1 = 110° and m∠3 = 70° m∠2 = 110° and m∠3 = 110°
Answer:
its c
Step-by-step explanation:
Answer:
C. m∠1 = 110° and m∠3 = 70°
Step-by-step explanation:
as the other person said :)
Antonela is planning on painting her room. A gallon of paint covers 110 square feet.
If Antonela's room is 10 feet by 8 feet and has an 8 foot ceiling, how many gallons
would she need to buy?
A colored chip is yellow on one side and red on the other. The chip was flipped 50 times and landed on the yellow side 29 times. what is the relative frequency of the chip landing with the yellow side facing up?
38%
42%
56%
58%
Answer:
58 %
Step-by-step explanation:
What degree does the function have?
F(x)=-2x^3+7x
Even or Odd
Answer:
The answer is Odd.
Step-by-step explanation:
I hope this helps you :)
Solve for z. z³ = 64 Enter your answer in the box. z =
Answer:
z³ = 64
z³=4³
since power is equal, base will be same
z=4
Step-by-step explanation:
The value of z in the expression is,
⇒ z = 4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Expression is,
⇒ z³ = 64
Now, We can simplify the expression as;
⇒ z³ = 64
Take cube root both side,
⇒ z = ∛64
⇒ z = ∛4³
⇒ z = 4
Thus, The value of z in the expression is,
⇒ z = 4
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ3
2 expressions equivalent to (x-6) • (x-3)
Answer:
x^2 + -9 x + 18 = (x - 9) x + 18 = (x - 6) (x - 3) all three are alternanate forms.
Step-by-step explanation:
Expand the following:
(x - 6) (x - 3)
Hint: | Multiply x - 6 and x - 3 together using FOIL.
(x - 6) (x - 3) = (x) (x) + (x) (-3) + (-6) (x) + (-6) (-3):
x x - 3 x - 6 x - 6 (-3)
Hint: | Combine products of like terms.
x x = x^2:
x^2 - 3 x - 6 x - 6 (-3)
Hint: | Multiply -6 and -3 together.
-6 (-3) = 18:
x^2 - 3 x - 6 x + 18
Hint: | Group like terms in x^2 - 3 x - 6 x + 18.
Grouping like terms, x^2 - 3 x - 6 x + 18 = x^2 + (-3 x - 6 x) + 18:
x^2 + (-3 x - 6 x) + 18
Hint: | Combine like terms in -3 x - 6 x.
-3 x - 6 x = -9 x:
Answer: x^2 + -9 x + 18 = (x - 9) x + 18 =(x - 6) (x - 3)
Find the endpoint of segment CD if D(-3, 1/2) and the midpoint is (-1/2, 3).
Answer:
Step-by-step explanation:
(x - 3)/2 = -1/2
x - 3 = -1
x = 2
(y + 1/2)/2= 3
y + 0.5 = 6
y = 5.5
(2, 5.5) the other endpoint
what is 7x-4x=27,solve for x?
Answer:
x=9
Step-by-step explanation:
whats the answer to this question -9x+1= -8
if it takes jessica 28.9 seconds to walk to the bus stop and there are 260 days she takes the bus to school a year. Then how many minutes a year does she spend walking to the buss stop? Round to the nearest minute
Answer:
Step-by-step explanation:
If there are 260 days and she takes 28.9 seconds to get to the bus stop, then that means 260 * 28.9 = 7514 seconds to get to the Stop. 7514 / 60 = number of minutes which is 125 rounded
Sam and John are finding −3 − 14. Who is correct?
Sam John
-3 - 14 = -3 + 14 -3 - 14 = -3 + (-14)
=11 = -17
Describe how you got the answer PLZS
Answer:
-17
Step-by-step explanation:
ok well I can't really see Sam and John's answer but -3-14 is equal to -17
if you see that there's a negative in front of the first number and its also subtracting you have to make that subtract sign an addition sign then change the second number to a negative like this:
-3+-14 then you just add.
With Sam and John whichever one had -17 as their answer is correct
i beg someone to answer ive posted this 3 times and im still not sure how to do it.....
Which of the following is the best estimate for the number of seconds which have elapsed since the start of the year 2000?
(note: date was June 2001)
A) 3 X 10⁴
B) 3 x 10⁵
C) 3 x 10⁶
D) 3 X 10⁷
E) 3 X 10⁸
(with working out please)
Answer:
D) 3 X 10⁷
Step-by-step explanation:
Estimated days:
Jan 2000 to June 2001 = 1.5 years = 365*1.5 days ≈ 548 days1 day = 24 hours = 24*60 minutes = 24*60*60 seconds = 86400 seconds548 days = 548 * 86400 seconds = 47347200 ≈ 4.7*10⁷Best estimate is D) 3 X 10⁷
write the domain and the range of the function as an inequality, using set notation, and using interval notation. also describe the end behavior of the function
the graph of the quadratic function f(x) = -x^2 is shown
When the domain of the function is continuous, a different approach may well be required, although even here we note that in practice, optimization problems are usually solved using a computer, so that in the final analysis the solutions are represented by strings of binary digits (bits).
Note: Your teacher will grade your response to ensure you receive proper credit for your answer.
What is the difference between an irrational number and an integer?
In your explanation, be sure to include various keywords you learned in this unit.
What is the product of (-a + 3)(a + 4)
Answer:
-a^2-a+12
Step-by-step explanation:
After multiplying and opening the brackets
we get
-a^2-4a+3a+12
=-a^2-a+12. ( simplifying)
hope it helps.....
Answer:
[tex] \boxed{\sf -a^2 - a + 12} [/tex]
Step-by-step explanation:
⇒(-a + 3)(a + 4)
⇒-a(a + 4) + 3(a + 4)
⇒(-a)(a) + (-a)(4) + (3)(a) + (3)(4)
⇒-a² - 4a + 3a + 12
⇒-a² - a + 12
What is the common ratio (r) of the geometric sequence 1, 5, 25, 125?
Answer:
The common ratio is 5
Step-by-step explanation:
We know this because the first term times 5 equals the second term and the second term times five equals the third term and so forth.
cann u heeeeellllpppp mmmmmeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
a) 10/3
b) 30miles covered in 1/2 an hour
75 miles covered in 1 1/4 hours
therefore they get there at 4:15pm
c) an airplane covers 50 miles in 1/5 hours. how many miles can the airplane cover in 5 hours?
SOLUTION=5 divided by 1/5=25
50*25=1250 miles
plz help I'm and dead confused
Domain: {-3, -1, 2, 4, 6}
Range: {-2, 1, 2, 4, 6}
===========================================
Explanation:
The domain is the set of possible x values of a relation or function. To form the domain, we just list out the x coordinates of each point
Point A is located at (-3, 4) so the x coordinate x = -3 is part of the domain
Point B is at (-1,1) meaning x = -1 is also part of the domain
And so on. Doing this for all five points leads to the list of x coordinates {-3,-1,2,4,6} which is the domain.
--------------------
The range is a similar story, but we look at the y coordinates now. Point A has y coordinate 4, so y = 4 is part of the range.
Point B has y coordinate y = 1, so that is also part of the range.
The range is {-2, 1, 2, 4, 6} representing all of the possible y values of this relation.
With any set, the order does not matter. Though convention is to list the items from smallest to largest.
make f the subject of the formula c=[tex]\frac{5(f-32)}{9}[/tex]
Answer:
[tex]f=\frac{9c}{5}+32[/tex]
Step-by-step explanation:
[tex]c=\frac{5\left(f-32\right)}{9}[/tex]
Switch sides:
[tex]\frac{5\left(f-32\right)}{9}=c[/tex]
Multiply both sides by 9:
[tex]\frac{9\times5\left(f-32\right)}{9}=9c[/tex]
[tex]5\left(f-32\right)=9c[/tex]
Divide both sides by 5:
[tex]\frac{5\left(f-32\right)}{5}=\frac{9c}{5}[/tex]
[tex]f-32=\frac{9c}{5}[/tex]
Add 32 to both sides:
[tex]f-32+32=\frac{9c}{5}+32[/tex]
[tex]f=\frac{9c}{5}+32[/tex]
Blake is working to find the slope given 2 points.
(-1,5) and (3, 13)
ent
She used this formula:
If you're given two points
(x1, Y.) and (x2,Y2)
Y2-Y.
m =
X2-X,
Replacing the values, she gets:
13-5
3-(-1),
What is the slope?
Answer:
-1/2
Step-by-step explanation:
The slope is
4. Error Analysis Jacinta says that the product of a rational number and an irrational number is always irrational. Explain her error.
Answer:
She did not consider the multiplicative inverse property of a real number
Step-by-step explanation:
Jacinta in her conclusion did not consider the Multiplicative Inverse property of real numbers.
Let x be an irrational number.
So, [tex]$ x.\frac{1}{x}= 1$[/tex]
If x is an irrational number, then its reverse is also an irrational number. So by the Multiplicative Inverse property their product is 1 and 1 is a rational number. Thus, Jacinta was incorrect.
Divide. 5892 ÷ 18 in fraction form.
Answer: 327 1/3
Hope this helps! :)
Answer:
5892 ÷ 18
327 1by 3in mixed fraction
Select the correct answer
(0,b)
(-a, 0)
(0,0)
(a,0)
(0, -b)
What is the perimeter of the polygon in the diagram?
A. 2/(0-6)
B. 4(a+b)2
OC. 2(22+62)
OD. 4√22+6²
Answer:
b
Step-by-step explanation:
The perimeter of the polygon is 4√(a² + b²).
Option D is the correct answer.
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
We have,
The polygon is formed by joining the four-point:
(0, b), (-a, 0), (a, 0), and (0, -b)
The distance between two points (x1, y1) and (x2, y2) is given by the formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Now,
Using this formula, we can find the lengths of the sides of the polygon:
The distance between (0, b) and (-a, 0) is d1.
= √[(0 - (-a))² + (b - 0)²]
= √(a² + b²)
The distance between (-a, 0) and (0, -b) is d2.
= √[(0 - (-a))² + (-b - 0)²]
= √(a² + b²)
The distance between (0, -b) and (a, 0) is d3.
= √[(0 - a)^2 + (0 + b)^2]
= √(a² + b²)
The distance between (a, 0) and (0, b) is d4.
= √[(0 - a)²+ (b - 0)^2]
= √(a² + b²)
The perimeter of the polygon is:
P = d1 + d2 + d3 + d4
= 4√(a² + b²)
Thus,
The perimeter of the polygon is 4√(a² + b²).
Learn more about distance of a line here:
https://brainly.com/question/14645718
#SPJ7
Use the functions f(x)=2x and g(x)= x^2+1 to find the value of each expression.
7. f(3)+g(4) 8. g(3)+f(4)
Answer:
First, you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.
Step-by-step explanation:
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(
g
f
)(x)=
4−5x
3x+2