Answer:
f(n) = 6n + 12
Step-by-step explanation:
There is a common difference in consecutive number of seats, that is
42 - 36 = 36 - 30 = 30 - 24 = 24 - 18 = 6
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 18 and d = 6 , then
f(n) = 18 + 6(n - 1) = 18 + 6n - 6 = 6n + 12
Need help quick and fast!
Need help please!! :)
Answer:
[tex]A: (-3,1)[/tex]
[tex]B:(-1,-1)[/tex]
[tex]d=\sqrt{(-3-(-1)^{2} +(-1(-1))^{2} }[/tex]
[tex]=\sqrt{(-2)^{2}+(2)^{2} }[/tex]
[tex]=\sqrt{4+4}=\sqrt{8}[/tex]
[tex]=2\sqrt{2} =2.8[/tex]
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hope it helps..
have a great day sis ^_^!!!
Answer:
Coordinates of :-
A= (-3,1)
B= (-1,-1)
Distance AB= [tex]\sqrt{-2+3)^{2}+(-1-1)^{2} }[/tex]
[tex]\sqrt{(2)^{2} +(-2)^{2} }[/tex][tex]=\sqrt{4+4}[/tex][tex]=\sqrt{8}[/tex][tex]=2.8[/tex]OAmalOHopeO
P= -4b^2+6b-9
Q= 7b^2-2b-5
P-Q=
Answer:
P - Q = - 11b² + 8b - 4
Step-by-step explanation:
P - Q
= - 4b² + 6b - 9 - (7b² - 2b - 5) ← distribute parenthesis by - 1
= - 4b² + 6b - 9 - 7b² + 2b + 5 ← collect like terms
= - 11b² + 8b - 4
50 Pts!!!!!!! What is the straight line distance between the points?
365.12x =36,512 please help
Answer:
x = 100
Step-by-step explanation:
365.12 x = 36512
36512 / 365.12 = x
x = 100
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the area of PQRS. (Hint: Use the Pythagorean Theorem to find the height .)
The question is in the pic.
Answer:
$100
$120 in and $20 out
Step-by-step explanation:
Answer:
the answer is $100
because if the bank is loosing 2% they are having to pay $20 bc 0.02 x 1,000= 20, and they are earning 12% they getting 120 bc 0.12 x 1,000 = 120, and 120-20= $100. you have to subtract the $20 because that is what the bank is paying, so it's losing money
Fill in the missing numbers : )
The Missing numbers are :
[tex] \boxed{1.9}[/tex][tex] \boxed{3.4}[/tex]Solution :Each term in the pattern is formed by the successive addition of " 0.5 " in the previous term.
therefore, the sequence will be like :
[tex] \hookrightarrow1.9, \: 2.4, \: 2.9, \: 3.4, \: 3.9, \: 4.4[/tex]
And, missing terms are :
1.9 and 3.4 respectively
[tex] \mathfrak{hope \: it \: helps \: you.....}[/tex]
An airplane covers 1824 km in an hour How much distance will it cover in 3.7 hours
Answer:
6748.8 km
Step-by-step explanation:
in 1 hour = 1824
in 3.7 hour = 1824×3.7
=6748.8 km
a rectangular solid box measures 2.17 feet by 4.05 feet by 480 inches. in cubic yards, what is the volume of the box? express your answer as a decimal to the nearest tenth
Answer:
117.18 yards
Step-by-step explanation:
480in=40ft
2.17x4.05x40=351.54tf
351.54ft=117.18yrds
in a survey of 100 cars,47 were white,23 were blue and 30 were red.express each of these numbers as a percentage of the total.
Answer:
white- 47% Blue-23% Red- 30%
Step-by-step explanation:
White cars- (47/100)*100= 47%
Blue cars- (23/100)*100=23%
Red cars- (30/100)*100=30%
Use a net of the square pyramid, if necessary, to find the surface area of the pyramid.
Answer:
128 if it wants the whole thing than 192
Step-by-step explanation:
A prism with a volume of 148 cubic cm is dilated by a factor of 5.5.
The volume of the dilated prism is ___ cubic cm.
volume = 148 × 5.5 cube
= 24623.5 cubic cm
Roger just ran 5 laps. He is at 20% of his goal.
How many more laps until he is finished reaching
his goal?
25 laps The Principal never visited the arts section.
4 laps The Principal never visited the bathroom
15 laps The Principal never visited the History section
20 laps The Principal never visited the office or arts
section.
Answer: 20 laps
Step-by-step explanation:
Given
Roger just ran 5 laps and completes 20% of his goal
Suppose his goal is x laps
So, 20% of x must be equal to 5
[tex]\Rightarrow 20\%\times x=5\\\Rightarrow 0.2x=5\\\\\Rightarrow x=\dfrac{5}{0.2}\\\\\Rightarrow x=\dfrac{50}{2}\\\\\Rightarrow x=25\ \text{laps}[/tex]
So, he needs 20 more laps to complete his goal.
CUAL ES LA MITAD DE 30
Answer:
15
Step-by-step explanation:
30/2=15
(x+0)(x+5) what does this mean im confused whats the answer
Answer:
You can't get an answer to this unless you know what x is. The reason you can't solve is because it is factored down to the lowest form, but if you need to make an equation. Here is one: x^2 + 5x
у=-3x+3
y = -9x + 15
Answer:
(2, - 3 )
Step-by-step explanation:
Given the 2 equations
y = - 3x + 3 → (2)
y = - 9x + 15 → (2)
Substitute y = - 3x + 3 into (2)
- 3x + 3 = - 9x + 15 ( add 9x to both sides )
6x + 3 = 15 ( subtract 3 from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
y = - 3(2) + 3 = - 6 + 3 = - 3
solution is (2, - 3 )
Which of the following conditions are sufficient to show that the two polygons are congruent?
A. Slopesc = Slopen and slopezo = slopeo
B. The lengths of all corresponding sides are equal: AB = LM, BC = MN, CD = NO, AD = LO.
C. None. The polygons cannot be congruent because they have different orientations.
D. The rise and run of the translation between each pair of corresponding points are the same.
Answer:
(B) Two number is the answer of your question.
Can someone please tell me what the equation would be and how I would show it
Answer:
Step-by-step explanation:
3x-4y-15=0
Geometric figure: Straight Line
Slope = 1.500/2.000 = 0.750
x-intercept = 15/3 = 5
y-intercept = 15/-4 = -3.75000
Step by step solution :
Step 1 :
Equation of a Straight Line
1.1 Solve 3x-4y-15 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-4y-15 = 0 and calculate its properties
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 15/-4 so this line "cuts" the y axis at y=-3.75000
y-intercept = 15/-4 = -3.75000
Calculate the X-Intercept :
When y = 0 the value of x is 5/1 Our line therefore "cuts" the x axis at x= 5.00000
x-intercept = 15/3 = 5
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.750 and for x=2.000, the value of y is -2.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.250 - (-3.750) = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.500/2.000 = 0.750
Geometric figure: Straight Line
Slope = 1.500/2.000 = 0.750
x-intercept = 15/3 = 5
y-intercept = 15/-4 = -3.75000
Hope This Helps!!!
Analyze the rational function: f(x) = (x^2 - 4)/(x^3 - 3x^2 - 10x)
Answer:
The function [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] has a zero: [tex]x = 2[/tex], and two poles: [tex]x = 0[/tex] and [tex]x = 5[/tex].
Step-by-step explanation:
Let be [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] a rational function armed with polynomial function. We proceed to factor the expression to the find the zeros and poles of the rational function:
1) [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] Given
2) [tex]f(x) = \frac{(x + 2)\cdot (x-2)}{x\cdot (x^{2}-3\cdot x -10)}[/tex] [tex]a^{2} - b^{2} = (a + b)\cdot (a - b)[/tex]/Associative, commutative and distributive properties.
3) [tex]f(x) = \frac{(x+2)\cdot (x-2)}{x\cdot (x-5)\cdot (x+2)}[/tex] [tex]x^{2} -(a+b)\cdot x + a\cdot b = (x-a)\cdot (x-b)[/tex]
4) [tex]f(x) = \frac{x-2}{x\cdot (x-5)}[/tex] Commutative property/Existence of multiplicative inverse/Modulative property/Result
The function [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] has a zero: [tex]x = 2[/tex], and two poles: [tex]x = 0[/tex] and [tex]x = 5[/tex].
Which of the following does not represent a function?
If a test consists of ten mulitpel choice questions,with each permiting aposible answers.How mmany ways are ther in wvhich a student give his answer?
The question given is incomplete, find the possible version in the comment below.
Answer:
9765625 ways
Step-by-step explanation:
To solve questions of this kind, we can apply the product rule ;
We have 10 different questions, each with 5 alternative options, even though there is only one correct answer, the number of answers that can be chosen (either correct or incorrect) is 5 ;
Therefore, we have 5 possible choices for each question :
Question 1 = 5 ; question 2 = 5,....
This can be written as :
5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 = 5^10 = 9765625 ways
Which expression is equivalent to 4(2x + 1)?
8x + 1
8x +4
6x + 5
O
2x + 4
Answer:
8x + 4
Step-by-step explanation:
You just gotta distribute 4(2x+1) and it gives you the expression 8x + 4
5. The property depicted in the expression 2/( 3) ×(1/3+ 4/5)=(2/3 × 1/3)+(2/3 × 4/5) is *
associative property of addition
associative property of multiplication
distributive property of multiplication
closure property of multiplication
Answer:
distributive property of multiplication over addition
Step-by-step explanation:
a(b + c) = ab + ac
The a to the left of the parentheses multiplies both numbers inside the parentheses. The you add the products.
This is the distributive property of multiplication over addition.
2/3 × (1/3 + 4/5) = (2/3 × 1/3) + (2/3 × 4/5)
The 2/3 to the left of the parentheses multiplies both numbers inside the parentheses. The you add the products.
This is the distributive property of multiplication over addition.
The triangle inequality
What can happen when excessive (too many trace elements are lost from
the body?
Answer:
im not sure but
Step-by-step explanation:
Deficiency of major elements can lead to nutritional disorders, and their presence in excess can cause obesity. Deficiencies or excess states of semi-major elements often result in water and electrolyte abnormalities
PLS HELP I KEEP GETTING SPAMMED PLEASEE
EXPLANATION = BRAINLIEST
the area of the triangle is ____ square in
Answer:
A = 56 Sq.in
Step-by-step explanation:
A = H x B/2
A = 8 x 14
= 112/2
= 56
THank you!!
Please give real answers with an explaination. 50 points + I will follow + I will give brainliest + 5-star rated. No Docs/No Files/No Links only answer with explaination.
Answer:
B
Step-by-step explanation:
Look at the figures below.
Figure A.
The median of a quadrilateral was drawn as the red segment. It split the interior angle of the quadrilateral into angles 1 and 2. Angles 1 and 2 are clearly not congruent. Statement A is false.
Figure B.
The red segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length. Statement B is true.
Figure C.
The red midsegment cuts the triangle into two areas, crosshatched in blue and green. The areas are clearly not equal, so statement C is false.
Need help quick someone help!
WHOEVER ANSWERS FIRST WINS BRAINLIEST!
Multiply.
4 1/6 × 5 3/5
Answer and Step-by-step explanation:
Convert the numbers into improper fractions.
[tex]\frac{25}{6} ,\frac{28}{5}[/tex]
Now, multiply the numbers.
[tex]\frac{700}{30}[/tex]
Finally, simplify.
[tex]\frac{70}{3}[/tex] is the answer.
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