The function The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. The total of t tables are arranged in a certain way.
Select EACH correct statement about the scenario.
[] The function is an arithmetic sequence.
[] The number 2 is the beginning number of tables.
[] The number 2 is the number of tables added when t increases by 1.
[] The number 4 represents the number of people that can be seated at an event if only 1 table is available.
*Multiple Choice*
The correct statements about the scenario are;
The function is an arithmetic sequenceThe number 2 is the number of tables added when t increases by 1.The number 4 represents the number of people that can be seated at an event if only 1 table is available.According to the function given;
p(t)=4+2(t−1)Evidently, the function, p(t) represents the number of people that can sit when t tables are available.
T(n) = a + d(n -1)In essence, the function resembles that of a general arithmetic progression with first term, a = 4.
The common difference, d = 2.
The statements which are correct are therefore as listed above.
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Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)
Answer:
x = + 14.88 km
Step-by-step explanation:
Let's solve for x using the Pythagorean Theorem.
The length of the hypotenuse is 15.8 km; that of the shorter leg is 5.3 km.
Since a² + b² = c², we get:
(5.3 km)² + x² = (15.8 km)²
Solving for x², we obtain (15.8 km)² - (5.3 km)² = 249.64 km² - 28.09 km²
The last expression returns the value 221.55 km² for x²
Taking the square root of both sides, we get x = + 14.88 km
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :x² = (15,8)² - (5,3)²
x² = 249,64 - 28,09
x² = 221,55
x = 14,88km✔
Help pleaseeeeeeeeeeee
Answer:
[tex]f(x) = 2x + 5 \\ y = 2x + 5 \\ x = 2y + 5 \\ 2y = x - 5 \\ y = \frac{1}{2} x - \frac{5}{2} \\ y = {f}^{ - 1} (x) = \frac{x - 5}{2} [/tex]
Please explain . . .
Answer:
9
Step-by-step explanation:
[tex]05 \times 2. \div 2[/tex]
Which statement about the points (5, -9) and (5,9) is true? Plot the points on a coordinate plane to help you answer the question. © A. (5.-9) and (5,9) are reflections of each other over the yaxis. B. (5, -9) and (5,9) are reflections of each other over the x-axis. C. (5.-9) and (5,9) are both on the x-axis. D. (5.-9) and (5,9) are reflections of each other over both axes.
Answer:
A. (5,-9) and (5,9) are reflections over the y-axis
Step-by-step explanation:
Find the angle of C
Answer:
8
Step-by-step explanation:
Answer:
∠ C ≈ 22.6°
Step-by-step explanation:
Since Δ ABC is right at B
Using the sine ratio in the right triangle
sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{5}{13}[/tex] , then
∠ C = [tex]sin^{-1}[/tex] ( [tex]\frac{5}{13}[/tex] ) ≈ 22.6° ( to 1 dec. place )
What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) = 2x2 +15?
A. The graph of f(x) is horizontally compressed by a factor of 2 and
shifted 15 units to the left.
B. The graph of f(x) is vertically stretched by a factor of 2 and shifted
15 units up.
C. The graph of f(x) is vertically stretched by a factor of 2 and shifted
15 units to the left.
D. The graph of f(x) is horizontally stretched by a factor of 2 and
shifted 15 units up.
SUBMIT
Answer: A. The graph of f(x) is horizontally compressed by a factor of 2 and
shifted 15 units to the left.
Step-by-step explanation:
Hope this helps!
Can y’all please help?
Answer:
50
Step-by-step explanation:
5x-6=64
x=14
64-14=50
what is 3/4 times 8/9?! plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
2/3
Step-by-step explanation:
= 3/4 * 8/9
= 24/36
simplify by 4
= 6/9
simplify by 3
= 2/3
Answer:
24 /36 or 2/3
Step-by-step explanation:
3 x 8 = 24
4 x 9 = 36
24/36
Simplify the fraction to get 2/3
Therefore, 2/3 would be your answer.
-kiniwih426
Can some one help me please I will give you 25 if you just tell me what the answer is
Answer:
I believe it helps the reader understand the mood of Frederick town. I hope this helps you! :)
PLEASE HELP WILL MARK BRAINLIEST!
Answer:
P of rectangle = 2(L + W)
21 units = 2(n units + W)
21 units = 2nunits + 2W
21 = 2n + 2W
2W = 21 - 2n
W = 21 - 2n units.
2
on simplifying
10.5 - n units
The width of the rectangle is units (10.5 - n) units.
Find the perimeter of the following figure
plsplspls
Answer:
30+4x
Step-by-step explanation:
Well, break it up into pieces: two rectangles.
ANSWER PLEASE AND PLEASE SHOW WORKING
ONLY ANSWER IF UR ARE ANSWERING THE QUESTION PLEASE
Answer:
Step-1 : Multiply the coefficient of the first term by the constant 1 • 7 = 7
Step-2 : Find two factors of 7 whose sum equals the coefficient of the middle term, which is -8 .
-7 + -1 = -8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -1
x2 - 7x - 1x - 7
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-7)
Add up the last 2 terms, pulling out common factors :
1 • (x-7)
Step-5 : Add up the four terms of step 4 :
(x-1) • (x-7)
Which is the desired factorization
Step-by-step explanation:
x = 7 or 1
What is the iterative rule for the following sequence?
4, 4/5, 4/25, 4/125, ...
A.) an=4•(1/5)^n-1
B.) an=4•(1/5)^n
C.) an=1/5•4^n-1
D.) an=1/5•4^n
Answer:
A.) 4 * (1/5)^(n-1)
Step-by-step explanation:
a1 = 4 * (1/5)^(1-1) = 4* (1/5)^0 = 4*1 = 4
a2 = 4 * (1/5)^(2-1) = 4 * (1/5)^1 = 4 * 1/5 = 4/5
a3 = 4 * (1/5)^(3-1) = 4 * (1/5)^2 = 4 * 1/25 = 4/25
a4 = 4 * (1/5)^(4-1) = 4 * (1/5)^3 = 4 * 1/125 = 4/125
a5 = 4 * (1/5)^(5-1) = 4 * (1/5)^4 = 4 * 1/625 = 4/625
. . .
The required iterative rule for the following sequence is [tex]a_n=4*(1/5)^{n-1}[/tex]. Option A is correct.
Given sequence,
4, 4/5, 4/25, 4/125, ...
Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
The given sequence is 4, 4/5, 4/25, 4/125, ...
Common ratio among the proceeding terms,
r = 4/5/4
r = 1/5
The required general term can be described as [tex]a_n=4*(1/5)^{n-1}[/tex].
Thus, the required iterative rule for the following sequence is [tex]a_n=4*(1/5)^{n-1}[/tex]. Option A is correct.
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#SPJ5
determine the H.C.F of 12,48,60
Answer:
HCF(12, 48, 60) = 12
Step-by-step explanation:
HCF of 12, 48, 60 is 12 since 12 is largest number which exactly divides all the numbers
Highest common factor (HCF) of 12, 48, 60 is 12.
Hope this helped you- have a good day bro cya)
how to do precentiges
Carmel draws a plan of her school using a scale of 1 cm to 5 m.
On the plan, the playground is 6 cm long.
What is the real length of the playground?
Answer:
30m
Step-by-step explanation:
If 1=5
Then
6=?
6÷1×5=30m
(9)
2 in
5 in
Perimeter:
Area:
Step-by-step explanation:
The area = 2 × 5 = 10
The perimeter = 2(2 + 5) = 14
please give me a brainliest answer
- + =6
- +
+ - =14
+ - +
- + =5
= = =
9 10 4
Step-by-step explanation:
20-17+3=6
18+1-5=14
7-8+6=5
20-18+7=9
17+1-8=10
3-5+6=4
29 yards=how many ft
Answer:
87 ft
Step-by-step explanation:
hope it's correct
please give me a brainlist
thank you
Inverse operation for 6*8=48
if f(x) = 3x+2 then what is f(2)+1
Jerry deposited 20,000 on an investment that will give 1,750 for every year that his money stays in the account. How much money will he have in his account by the end of the year 8? with solutions
Answer:
$34,000
Step-by-step explanation:
Jerry will get $1,750 for every year that his money stays in the account thus for 8 years he will get:
8*1,750 = $14,000
Together with the deposited money:
$20,000 + $14,000 = $34,000
By the end of year 8 there will be $34,000 of Jerry's account.
Answer Here
Why is 0.0123 x 107
not in the correct Scientific
Notation format?
becauseStep-by-step explanation:
identify the congruence transformation shown as a reflection, translation or rotation
Answer:
Counterclockwise rotation 90°
Step-by-step explanation:
first quadrant graph -> 2nd quadrant
Counterclockwise rotation 90° : (x,y) -> (-y , x)
Which of these represents the conjugate of the impedance of a circuit written as 7 – i ohms?
A
–7 – i ohms
B
–7 + i ohms
C
–7i ohms
D
7 + i ohms
For the expression 7 - i ohms, the conjugate will be 7 + i ohms (the sign was changed from negative to positive)
The impedance of the circuit is written in form of a complex number.
The standard representation of a complex number is expressed as a + ib where:
a is the real part
ib is the imaginary part
The conjugate of the complex number a + ib will be a - ib. Note that the signs of the expression were changed from addition to subtraction.
Similarly for the expression 7 - i ohms, the conjugate will be 7 + iohms (the sign was chaged from negative to positive)
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Mateo jogs for 3 3/4 miles on Saturday and 4 2/5 miles on Sunday. What is the total distance, in miles, that Mateo jogged in the past 2 days?
Answer:
Mateo jogged 8 3/20 miles in the past 2 days.
Step-by-step explanation:
Given:-
Distance on Saturday = 3 3/4
Distance on Sunday = 4 2/5
Total distance = 3 3/4 + 4 2/5
= 15/4 + 22/5
= LCM of deniminators (20)
= 75/20 + 88/20
= (75 + 88)/20
= 163/20
= 8 3/20
Answer:8+ (3/20)
Step-by-step explanation: We will assume that "today" is a Monday.
3+(3/4) + 4+(2/5)
7 + (3/4) + (2/5)
7 + (3/4)*(5/5) + (2/5)*(4/4)
7 + (15/20) + (8/20)
7 + (23/20)
8+ (3/20)
Mel bought pizza and soda for her End of Summer party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22? Which equation models this scenari
The equation that models the situation is: 89.22 = $10.95p + $12.57.
The cost of one pizza is $10.95. The cost of 2 pizzas would be equivalent to the multiplication of $10.95 by 2. Since we are not provided with the information on the total amount of pizza she bought, the total number of pizza bought would be represented with p.
Thus the total cost of p boxes of pizza = $10.95 x p = $10.95p
The total amount spent on sodas is $12.57.
The total amount spent is $89.22.
The equation that models the situation is: 89.22 = $10.95p + $12.57.
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9. Aaron has a lemonade business. If he sells each glass of lemonade for $2.75, and he sold 11
glasses of lemonade today, how much money did Aaron make?
Help me please this is due answer the question please
Answer:
$27.75
Step-by-step explanation:
Multiply $2.25 by 11 to get the answer
Step-by-step explanation:
He sold 11 lemonades for $2.75 each, so you need to multiply the numbers to get your answer-
11 x 2.75 = 30.25
Which means he made $30.25
May I please receive help?
Answer:
28°
Step-by-step explanation:
1. We can see that ∠GFH has two smaller angles within it: ∠1 and ∠2. Given that m∠GFH is 53° (the whole thing), and m∠2 is 25° (a part of it), we just have to subtract 25 from 53 to get the measure of ∠1.
[tex]53 - 25[/tex] [tex]28[/tex]Therefore, m∠1 = 28°.