Answer:
200n - 162.
Step-by-step explanation:
first trem a1 = 38
common difference d = 200
nth term = a1 + (n-1(d
= 38 + 200(n-1)
= 200n - 162
The explicit formula for arithmetic sequences is 200n - 162.
What is an arithmetic sequence?The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given sequence is 38, 238, 438, 638,
first trem a₁ = 38
Common difference d = 200
nth term = a₁ + (n-1(d
nth term = 38 + 200(n-1)
nth term = 200n - 162
To know more about arithmetic progression follow
https://brainly.com/question/6561461
#SPJ2
need help for pythagorean theorem model
Answer:
8
Step-by-step explanation:
(10)^2 - (6)^2 = 64
Square root 64 = 8
Express this answer as a unit rate: $50 for 4 days of work. Lable the unite rate.
Ans
$12.5/1 day
Step-by-step explanation:
Just cause
Giving brainliest to first person hurry help!!
Answer: If you're looking for the sum of the equation, it's 9.57.
If you're looking for a better way to add it. It's this. (1.7 + 5.3) + 2.57.
Step-by-step explanation: The reason for my answer is quite simple. Since 1.7 and 5.3 add up to 7, all you need to do is add 7 and 2.57. That way, it's much easier to get the answer 9.57
Hope this helped :)
A tour director collected AED 258 for 13 tour packages. Tour packages A cost AED 18 and tour package B costs AED 22. How many of each tour package were sold?
Answer:
6 packages B
7 packages A
Step-by-step explanation:
let the number of packages A be a and the number of packages B be b
Total number of packages is 13;
Thus;
a + b = 13 •••••(i)
Total package a cost is 18(a) = 18a
Total package b cost is 22(b) = 22b
Total of both is 258
18a + 22b = 258 •••••••(ii)
From i, a = 13-b
Put this in equation ii
18(13-b) + 22b = 258
234-18b + 22b = 258
4b = 258-234
4b = 24
b = 24/4 = 6
since;
a + b = 13
a + 6 = 13
a = 13-6
a = 7
Which statement best explains if the graph correctly represents the proportional relationship y = 0.5x? (4 points)
A coordinate plane is shown. Points are graphed at 1 and 0.5 and 4 and 2. The points are joined by a line.
It does, the points shown on the line would be part of y = 0.5x.
It does, all proportions can be shown on a graph of this line.
It does not, the points shown would not be part of y = 0.5x.
It does not, proportions cannot be represented on a graph.
Answer:
I believe the answer is
Yes, the points shown on the line would be part of y = 0.5x
Answer:
A
Step-by-step explanation:
A chord is 28 inches long in a circle with a
radius of 50 inches. Find the distance the
chord is from the center of the circle.
Distance=
Given that,
Length of a chord = 28 inches
Radius of the circle = 50 inches
To find,
The distance the chord from the center of the circle.
Solution,
Let the distance from the chord to the centre of circle is x.
It is denoted by OM.
Using Pythagoras theorem to find it.
[tex]50^2=28^2+x^2\\\\x=\sqrt{50^2-28^2} \\\\x=41.42\ \text{inches}[/tex]
So, the distance from the chord to the centre of circle 41.42 inches
Evaluate the expression 6^2 + x - x^26
2
+x−x
2
6, squared, plus, x, minus, x, squared for x=3x=3x, equals, 3.
Answer:
The answer is 30 :)
Step-by-step explanation:
I had this question on khan academy
have a good day and stay safe!
The value of expression at x = 3 is,
⇒ 30
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;
The expression is,
⇒ 6² + x - x²
Now, We can simplify as;
⇒ 6² + x - x²
⇒ 36 + x - x²
Put x = 3;
⇒ 36 + 3 - 3²
⇒ 36 + 3 - 9
⇒ 36 - 6
⇒ 30
Thus, The value of expression at x = 3 is,
⇒ 30
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ3
can someone please tell me what the range is?
Answer: y > -1.5 which is the same as y > -3/2
==========================================================
Explanation:
As x goes off to negative infinity, the term 3^x gets closer to 0.
So the expression 0.5*(3^x - 3) approaches 0.5*(0-3) = 0.5*(-3) = -1.5 = -3/2
The y value will never actually get to -1.5 because 3^x never actually reaches 0. It only gets closer and closer.
So the range is the set of possible y outputs such that y > -1.5 or y > -3/2
This means the horizontal asymptote is y = -3/2 or y = -1.5 which is the horizontal "electric fence" of sorts that the function curve gets closer to, but never touches.
An original oil painting measures 55" x 55". The artist wants to produce prints that are 2.5 times smaller than the original painting. What will be the side length, in inches, of the prints?
Answer:
The side length of the prints is approximately 34.785 inches.
Step-by-step explanation:
First, we have to calculate the area of the original oil painting ([tex]A[/tex]), measured in square inches, by the following formula:
[tex]A = l^{2}[/tex] (1)
Where [tex]l[/tex] is the length of the side, measured in inches.
And the length of the miniature is determine by means of reduction factor ([tex]k[/tex]), with no unit:
[tex]\frac{A}{k} = l'^{2}[/tex] (2)
If we know that [tex]l = 55\,in[/tex] and [tex]k = 2.5[/tex], then the side length of the miniatures is:
[tex]l' = \sqrt{\frac{l^{2}}{k} }[/tex]
[tex]l' = \frac{l}{\sqrt{k}}[/tex]
[tex]l' = \frac{55\,in}{\sqrt{2.5}}[/tex]
[tex]l' \approx 34.785\,in[/tex]
The side length of the prints is approximately 34.785 inches.
David is making patterns using these rules. Rule for Pattern A: start with 20 and subtract 2 Rule for Pattern B: start with 10 and subtract 1 Which patterns did David make?
Answer:
20,18,16,14,12,10,8,6,4,2
10,9,8,7,6,5,4,3,2,1
Step-by-step explanation:
Pattern A:
Rule : start with 20 and subtract 2
Pattern B:
Rule : Start with 10 and subtract 1
Pattern 1:
20 - 2 = 18
18 - 2 = 16
16 - 2 = 14
14 - 2 = 12
12 - 2 = 10
10 - 2 = 8
8 - 2 = 6
6 - 2 = 4
4 - 2 = 2
20,18,16,14,12,10,8,6,4,2
Pattern 2:
10 - 1 = 9
9 - 1 = 8
8 - 1 = 7
7 - 1 = 6
6 - 1 = 5
5 - 1 = 4
4 - 1 = 3
3 - 1 = 2
2 - 1 = 1
10,9,8,7,6,5,4,3,2,1
8p2 + 2p+ 7p? does anyone know?
Factorise fully 9x^2-9
Answer:
180
Step-by-step explanation:
Please help with this acellus question!
Find the value of x.
2x-3
14
х
10
x = [?]
Enter
Answer:
The value of x is 5
Step-by-step explanation:
In the given triangle
∵ A segment joining two points lie on the two side
∵ This segment is parallel to the third side
∴ This segment divides the two sides into parts that have the same ratio
→ That means x over 2x - 3 equal to 10 over 14
∵ [tex]\frac{x}{2x-3}[/tex] = [tex]\frac{10}{14}[/tex]
→ By using cross multiplication
∴ 10 × (2x - 3) = x × 14
∴ 10(2x) - 10(3) = 14x
∴ 20x - 30 = 14x
→ Add 30 to both sides
∵ 20x - 30 + 30 = 14x + 30
∴ 20x = 14x + 30
→ Subtract 14x from both sides
∵ 20x - 14x = 14x - 14x + 30
∴ 6x = 30
→ Divide both sides by 6
∴ x = 5
∴ The value of x is 5
Answer:
x = 5
Hope This Helps Mate!
Please Help What is 3/5 x 5/9
Answer:
1/3
Step-by-step explanation:
3/5 × 5/9 is 15/45 but simplified it is 1/3
Answer:
1/3
Step-by-step explanation:
3/5×5/9=?
|
3/5×5/9= 15/45
|
15/45 divided by 15= 1/3
|
Therefore 3/5x5/9=1/3
Equilateral triangle has a side of 8 inches long find the area
Answer:
36 inches²
Step-by-step explanation:
area of a triangle = length x base x ½
= 8 × 8 × ½
= 36in²
PLEASE HELP ME ASAP!!! I WILL MAKE YOU BRAINLIEST AND YOU GET 20 points!!!
Answer:
I hope this makes sense, sorry for the lack of proofs.
Step-by-step explanation:
It is given that S is the midpoint of line QT. The definition of a midpoint is that it bisects the line it is on. So, line QS and line TS are congruent, or the same.
Now, we also know that line QR and line TU are parallel. Because they are parallel, it means that they form congruent corners with lines QS and TS..I think the proof here is "angles opposite to congruent sides are congruent in a triangle." But I'm not sure if this is right. Anyways, this means angles RQS and UTS are congruent.
There's also some proof that when two lines cross, the opposite angles are congruent. This means that angles TSU and QSR are congruent.
Therefore, by ASA (angle-side-angle) ΔQRS ≅ ΔTUS.
Tyler, Jackie, Pam, and Marc all live on the same street. Tyler lives 1/2 mile from the neighborhood's public school. Jackie lives 5/9 mile from the school. Pam lives 4/7 mile from the school, and Marc lives 2/5 mile from the school. Who lives farthest from the school?
Answer:
pam
Step-by-step explanation:
you can make all fractions equivalent using a common denominator of 620 or change each to a decimal, then compare:
1/2 = .50
5/9 = .55
4/7 = .57
2/5 = .40
A meteorologist found that the rainfall in Belleville during the first half of the month was 3/8 of an inch. At the end of the month, he found that the total rainfall for the month was 1/2 of an inch. How much did it rain in the second half of the month?
Answer:
1/8 in.
Step-by-step explanation:
The amount of rain in the second half of the month is the difference between the two amounts of rain.
1/2 in. - 3/8 in. = 4/8 in. - 3/8 in. = 1/8 in.
Answer: 1/8 in.
Answer:
The answer is 1/8
Step-by-step explanation:
Can I get brainiest
Plssss help thx
Algebra
Answer:
f(x)=2x²+24x+22
Step-by-step explanation:
.......
hope it helps
"Kendra loves to play sports, but she also enjoys watching them." Is it simple, compound, or complex sentence?
Answer:
compound
Step-by-step explanation:
it uses a comma and the conjunction but. so it is seen to be a compound sentence
What is 4+6-23+30+80-12
Answer:
85 is the answer
Step-by-step explanation:
byeeeeee
Examine these points on line u and line v. Line u: (9, –8), (5, 4) Line v: (4, 2), (7, –7) How many points of intersection are there between line u and line v?
Answer:
The line u and line v have no point of intersection because they are parallel lines
Step-by-step explanation:
The slope of a straight line is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
The slope of line u is (4 - (-8))/(5 - 9) = -3
The equation for line u is y - 4 = -3*(x - 5)
y = -3·x + 15 + 4 = 19 - 3·x
The slope for line v is (-7 - 2)/(7 - 4) = -3
The equation for the line v is y - 2 = -3*(x - 4)
∴ y = -3x + 12 + 2 = -3x + 14
y = 14 - 3·x
Therefore. line u and line v have the same slope and are therefore parallel and they do not intersect
Answer:
The correct answer is A: Zero
Step-by-step explanation:
1. Although she’s only in middle school, Tameka loves to drive go-carts! Her favorite place to drive go-carts, Driver’s Delight, has 3 circular tracks. Track 1 has a radius of 60 feet. Track 2 has a radius of 85 feet. Track 3 has a radius of 110 feet. a. Compute the circumference of Track 1. b. Compute the circumference of Track 2. c. Compute the circumference of Track 3. d. Driver’s Delight is considering building a new track. They have a circular space with a diameter of 150 feet. Compute the circumference of the circular space.
Tameka wants to build a circular go-cart track in her backyard. a. If she wants the track to have a circumference of 150 feet, what does the radius of the track need to be? b. If she wants the track to have a circumference of 200 feet, what does the radius of the track need to be? c. If she wants the track to have a circumference of 400 feet, what does the diameter of the track need to be?
the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.
a. The circumference of Track 1 is 376.8 feet.
b. The circumference of Track 2 is 533.8 feet.
c. . The circumference of Track 3 is 690.8 feet.
The circular space Driver’s Delight has of 150 feet radius will have a circumference of 471 feet.
What is circumference?The circumference is the distance around the circle and he formula to calculate is 2πr, where r is the radius.
Driver’s Delight has 3 circular tracks for go-carting.
Track 1 has a radius of 60 feet therefore the circumference of this circular track will be,
Track₁ circumference = (2πr).
= (2×3.14×60) feet.
= 376.8 feet.
Track 2 has a radius of 85 feet therefore the circumference of this circular track will be,
Track₂ circumference = (2πr).
= (2×3.14×85) feet.
= 533.8 feet.
Track 3 has a radius of 110 feet therefore the circumference of this track will be,
Track₃ circumference = (2πr).
= (2×3.14×110) feet.
= 690.8 feet.
They also have a circular space of 150 feet there the circumference of this circular space will also be (2πr). And we know Diameter = Twice of radius.
So, we just have to multiply the diameter by π which has an approximate value of 3.14.
So, the circumference of this circular space is
= 150×π feet.
= 150×3.14 feet.
= 471 feet.
learn more about circumference here :
https://brainly.com/question/12512221
#SPJ2
A rational number is multiplied by an irrational number. Which statement about the
product is true?
a) the product is an irrational number
b) the product is a positive integer
c) the product is a rational number
d) the product is a negative integer
Answer:
a
Step-by-step explanation:
irration minus rathional is a irrational number
As an estimation we are told 5 miles is 8 km.
Convert 20 km to miles.
Answer:
12.4 miles
Step by Step Explanation:
You have to multiply 20 by 0.6213 then you get your answer. You can round it if you want.
Answer:
12.5
Step-by-step explanation:
I got the answer on Hegarty maths
hope its helpfully
Three triangles have the side lengths given below:
Triangle X: 8cm, 13cm, 5cm
Triangle Y: 14cm, 30cm, 17cm
Triangle Z: 26cm, 10cm, 24cm
Which of the triangles could not be right triangles?
Answer:
Triangle Z
Step-by-step explanation:
If a triangle is a right angle triangle, it will follow the Pythagoras theorem.
By Pythagoras theorem,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
Options (1)
Side lengths of the triangle X: 8 cm, 13 cm, 5 cm
By Pythagoras theorem,
(13)² = 8² + 5²
169 = 64 + 25
169 = 69
False.
Option (2)
Side lengths of triangle Y: 14 cm, 30 cm, 17 cm
By Pythagoras theorem,
(30)² = (14)² + (13)²
900 = 196 + 169
900 = 365
False.
Option (3)
Side lengths of triangle Z: 26 cm, 10 cm, 24 cm
By Pythagoras theorem,
(26)² = (10)² + (24)²
676 = 100 + 576
676 = 676
True.
Therefore, triangle Z represents a right triangle.
Y = 15x + 10, where y is the total cost of renting 1 bicycle on the boardwalk for x hours. Determine whether the function is proportional or non-proportional. Explain.
Answer:
The function is non-proportional.
Step-by-step explanation:
If the function was proportional, when the number of hours spent riding the bicycle is equal to 0, the total cost of renting the bicycle would also be 0. In other words, the function would be proportional if y=0 when x=0. However, this is not the case.
[tex]y=15x+10[/tex]
Plug 0 into the equation as x
[tex]y=15(0)+10\\y=10[/tex]
When 1 bicycle has been rented for 0 hours, the customer still has to pay 10 dollars just for renting it. When x=0, y=10. This means that the function is non-proportional.
I hope this helps!
2. A farm lets you pick 3 pints of raspberries for $12.00. a. What is the cost per pint? b. How many pints do you get per dollar? c. At this rate, how many pints can you aford for $20.00? d. At this rate, how much will 8 pints of raspberries cost?
Answer:
(a) the cost per pint = $4 per pint
(b) the number of pints per dollar = 0.25 pints per dollar
(c) the number of pints you can afford for $20.00 = 5 pints of raspberries
(d) the cost of 8 pints of raspberries = $32
Step-by-step explanation:
Given;
cost of 3 pints of raspberries = $12.00
(a) the cost per pint
[tex]= \frac{\$12}{3 \ pints} = \$4 \ \ per \ pints[/tex]
(b) the number of pints per dollar
[tex]= \frac{ 3 \ pints}{\$12 } = \frac{3 \times\frac{1}{12} }{12 \times\frac{1}{12} } = \frac{\frac{1}{4} \ pints }{1\$} = \frac{0.25 \ pints}{1 \$} = 0.25 \ pints \ per \ dollar[/tex]
(c) the number of pints you can afford for $20.00
= (0.25 pints per dollar) x ($20.00) = 5 pints of raspberries
(d) the cost of 8 pints of raspberries
= ($4 per pints) x (8 pints) = $32
Find the equation of the line passing through point (4,2) and perpendicular to AB
Answer:
a. -⅓
b. 3
c. y = 3x - 10
Step-by-step explanation:
a. Gradient of line AB:
A(1, 3), B(7, 1)
[tex] Gradient = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 3}{7 - 1} = \frac{-2}{6} = -\frac{1}{3} [/tex]
Gradient (m) = -⅓
b. The of the line that is perpendicular to line AB would be the negative reciprocal of the gradient of line AB.
Thus, the negative reciprocal of -⅓ = 3
Gradient of the line perpendicular to line AB = 3
c. Equation of the line that passes through (4, 2) and is perpendicular to line AB:
We can write the equation using the point-slope form equation, y - b = m(x - a), where,
(a, b) represents a point on the line, and,
m = gradient/slope
We know that the gradient/slope (m) = 3
Also, a point, (a, b) = (4, 2).
Therefore, substitute a = 4, b = 2, and m = 3 into y - b = m(x - a)
Thus:
y - 2 = 3(x - 4)
y - 2 = 3x - 12
Add 2 to both sides
y = 3x - 12 + 2
y = 3x - 10
Given that f(x) = x2 + 4x - 32 and g(x) = x– 4, find (f + g)(x) and express
the result in standard form.
Answer:
(f + g)(x) = x² + 5x - 36
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/Coefficients/DegreesFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = x² + 4x - 32
g(x) = x - 4
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute: (f + g)(x) = x² + 4x - 32 + (x - 4)Combine like terms (x): (f + g)(x) = x² + 5x - 32 - 4Combine like terms (Z): (f + g)(x) = x² + 5x - 36