which of the sequences is an arithmetic sequence
Answer:
it is C.
Step-by-step explanation:
The common difference is -7
-27 -(-20)= -27 + 20 = -7
-34 -(-27)= -34 + 27 = -7
-41 -(-34)= -41 + 34 = -7
-48 -(-41)= -48 + 41 = -7
Solve for x using the Quadratic Formula: x2 + 2x + 1 = 0 x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
x = 2
x = 1
x = 0
x = −1
Answer:
x = - 1Step-by-step explanation:
x² + 2x + 1 = 0
Using the quadratic formula
[tex]x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
a = 1 , b = 2 , c = 1
We have
[tex]x = \frac{ - 2± \sqrt{ {2}^{2} - 4(1)(1)} }{2(1)} \\ \\ x = \frac{ - 2 ± \sqrt{4 - 4} }{2} \\ \\ x = \frac{ - 2 ± \sqrt{0} }{2} \\ \\ x = - \frac{2}{2} \\ \\ x = - 1[/tex]
Hope this helps you
There are 20 cars in my building’s parking lot. All of the cars are red or white. 12 of them are red, 15 of them are 4-door, and 4 of them are 2-door and white. How many of the cars are 4-door and red?
Answer:
11 cars
Step-by-step explanation:
There are 20 cars in my building's parking lot, 15 cars are 4-door, then
20 - 15 = 5 cars are 2-door.
5 cars are 2-door, 4 of them are 2-door and white, then
5 - 4 = 1 car is 2-door and red.
12 cars are red, 1 car is 2-door and red, then
12 - 1 = 11 cars are 4-door and red.
plz give me brianlist
At what meter mark will Ario be when Miguel starts the race? Round to the nearest tenth. x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 A number line goes from 0 to 25. A line is drawn from 3 to 25. The point at 3 is labeled Start and the point at 25 is labeled End. Miguel and his brother Ario are both standing 3 meters from one side of a 25-meter pool when they decide to race. Miguel offers Ario a head start. Miguel says he will start when the ratio of Ario’s completed meters to Ario’s remaining meters is 1:4.
Answer: 7.4 meters
Step-by-step explanation:
Start Mark = 3m
End mark = 25m
Total length to race = 25 - 3 = 22m
Position of both Ario and miguel = 3 meter from one side of the pool; that is 3 meters behind the START MARK
Ario's completed to remain ratio = 1:4
Total ratio = 5
Ario's Completed meters = (22/5) * 1 = 4.4m
Therefore, when Miguel starts the race, Ario will be on (4.4meters + number of meters behind the start mark)
= 4.4 meters + 3 meters = 7.4meters
The distance of Ario from the start point when miguel starts is;
7.44 m
We are told that A line is drawn from 3 to 25.This means distance of line = 25 - 3 = 22 m
The start point is at the 3 m mark.Miguel and his brother Ario are standing 3 m from one side of the pool.
This means that they are both 3 meters behind the start point.
We are told that the ratio of Ario’s completed meters to Ario’s remaining meters is 1:4.Thus, ario's completed meters when Miguel will start is;
¹/₅ × 22 = 4.4 m
Since Miguel is 3 m from the start and Ario has just done 4.4 m, then it means that;Distance of miguel from Ario when miguel starts = 3 + 4.4 = 7.4 m
Read more about algebra at; https://brainly.com/question/11408596
What is the quotient (2x^3 + 3x - 22) / (x-2)
Answer:
2x^2+4x+11
Step-by-step explanation:
Consider the y-intercepts of the functions:
f(x) = |x – 1] + 2
g(x) =
(x + 3)
h(x) = (x + 1) -3
1
What is the ordered pair location of the greatest y-intercept of the three functions?
Answer:
+3, 0
Step-by-step explanation:
y-intercept for f(x) is when x = 0, so it is +1, 0
y-intercept for g(x) is when x = 0, so it is +3, 0
y-intercept for h(x) is when x = 0, so it is -2, 0
The y-intercept of a function is the point where x = 0.
The ordered pair that represents the greatest y-intercept is (0,3)
The functions are given as:
[tex]\mathbf{f(x) = |x - 1| + 2}[/tex]
[tex]\mathbf{g(x) = (x + 3)}[/tex]
[tex]\mathbf{h(x) = (x + 1) - 3}[/tex]
Set x = 0, and solve the functions
[tex]\mathbf{f(x) = |x - 1| + 2}[/tex]
Substitute 0 for x
[tex]\mathbf{f(0) = |0 - 1| + 2}[/tex]
[tex]\mathbf{f(0) = |- 1| + 2}[/tex]
Remove absolute brackets
[tex]\mathbf{f(0) = 1 + 2}[/tex]
[tex]\mathbf{f(0) = 3}[/tex]
[tex]\mathbf{g(x) = (x + 3)}[/tex]
Substitute 0 for x
[tex]\mathbf{g(0) = (0 + 3)}[/tex]
[tex]\mathbf{g(0) = 3}[/tex]
[tex]\mathbf{h(x) = (x + 1) - 3}[/tex]
Substitute 0 for x
[tex]\mathbf{h(0) = (0 + 1) - 3}[/tex]
[tex]\mathbf{h(0) = 1 - 3}[/tex]
[tex]\mathbf{h(0) = - 2}[/tex]
Hence, the ordered pair that represents the greatest y-intercept is (0,3)
Read more about ordered pairs at:
https://brainly.com/question/3309631
A soft drink machine can be regulated so that it discharges an average of Mu ounces per cup. If the ounces of fill are Normally distributed with a standard deviation of 0.4 ounces, what value should Mu be set at so that 6-ounce cups will overflow only 2% of the time
Answer: 5.0693 ounces
Step-by-step explanation:
For a 6 ounce cup to overflow, then the cup content is beyond 6 ounce, at 2%
P(x > 6) = 2% = 0.02; similarly
P(x<6) = 1 - P(x > 6)'.
P(x<6) = 1 - 0.02 = 0.98
The z-score for 0.98 = 2.326
The z - formular for a normally distributed goes thus :
Zscore =(observed score - mean) / standard deviation
Substituting the vamus :
2.326 = (6 - mean) / 0.4
2.326 × 0 4 = 6 - mean
0.9304 = 6 - mean
Mean = 6 - 0.9304
Mean = 5.0693
Enter the coordinates of the vertex of the graph of y=2(x+5)^2
Answer:
The vertex is ( -5,0)
Step-by-step explanation:
The vertex form of a parabola is
y = a( x-h) ^2 +k
where ( h,k) is the vertex
y=2(x+5)^2
y=2(x - -5)^2 +0
The vertex is ( -5,0)
Answer:
vertex = (- 5, 0 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = 2(x + 5)² , that is y = 2(x + 5)² + 0 ← is in vertex form
with (h, k) = (- 5, 0 )
In the Olympic tennis event ( in which each tennis player gets eliminated from the tournament after the first defeat) there are 37 players participating. Can you count how many matches there need to be until there is one winner.?
Answer: 26 games in total.
Step-by-step explanation:
If in each game we have one winner and one loser, then after each game we have one less player.
first, out of 37 players, we can write it as 36 players + 1 player that does not play in the first round
the 36 players play games. Because in each game we need 2 players, we have a total of 36/2 = 18 games
in those 18 games, we eliminate 18 players, so now we have 37 - 18 = 19 players.
Now, we can write 19 = 18 players + 1 player that does not play this round.
From the 18 players, we have 18/2 = 9 games.
And from those 9 games, we lose 9 players, so now we have:
19 - 9 = 10 players.
Now from those 10 players, we have 10/2 = 5 games, so after those 5 games we have 10 - 5 = 5 players.
Now we can write 5 = 4 players + 1 player that does not play this round.
from the 4 players we have 4/2 = 2 games, after those 2 games we end with 5 - 2 = 3 players.
And from those last 3 players, we have two games, where in each game one player is eliminated until we have only one winner.
Then the total number of games is:
18 + 9 + 5 + 2 + 2 = 26 games
YoIn a sale, the normal price of a book is reduced by 30%. The sale price of the book is £2.80 Work out the normal price of the book.
Answer: £4
Step-by-step explanation:
From the question, we are informed that when the normal price of a book is reduced by 30%, then the sale price of the book is £2.80.
Since the normal price of a book is reduced by 30%, that means the book is sold at (100% - 30%) = 70% of its normal price.
Let the normal price of the book be y.
70% of y = £2.80
70/100 × y = £2.80
0.7 × y = £2.80
0.7y = £2.80
y = £2.80/0.7
y = £4
The normal price of the book is £4.
A circle has a radius of 21 inches. What is the length of the arc intercepted by a central angle that measures 4π/7 radians? Express the answer in terms of π .
Answer:
12π inches
Step-by-step explanation:
s = rθ
s = (21) (4π/7)
s = 12π
The length of the arc will be;
⇒ Arc = 37.68 inches
What is Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The central angle = 4π/7
And, A circle has a radius of 21 inches.
Now,
We know that in circle;
⇒ Arc = Radius × Angle
Substitute all the values, we get;
⇒ Arc = 21 × 4π/7
⇒ Arc = 3 × 4 × 3.14
⇒ Arc = 37.68 inches
Thus, The length of the arc will be;
⇒ Arc = 37.68 inches
Learn more about the circle visit:
https://brainly.com/question/1294687
#SPJ2
can anyone help me solve this function?
Answer:
5x +3
Step-by-step explanation:
f(x) = 2x-6
g(x) = 3x+9
(f+g) (x) = 2x-6+ 3x+9
Combine like terms
= 5x +3
We are given the following two equations:
[tex]f(x)=2x-6[/tex]
[tex]g(x)=3x+9[/tex]
To find (f+g)(x), we just add f(x) and g(x) and simplify:
[tex](f+g)(x)=f(x)+g(x)[/tex]
[tex]=2x-6+3x+9[/tex]
[tex]=5x+3[/tex]
Let me know if you need any clarifications, thanks!
If a polynomial function f(x) has roots -9 and 7 -i, which must be a factor of f(x)
Answer:
(x + 9) (x - 7)
Step-by-step explanation:
when we put x + 9 = 0 then x = -9 as it's the root of the fuction.
same thing here: x - 7 = 0 then x = 7
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -2/3x + 6. What is the poin
slope form of the equation for this line?
Answer:
Step-by-step explanation:
y - 8 = -2/3(x + 3)
the solution is the 4th option
simplify 3(8-4)^2+7*9
━━━━━━━☆☆━━━━━━━
▹ Answer
111
▹ Step-by-Step Explanation
[tex]3(8 - 4)^{2} + 7 * 9\\\\3 * 4^{2} + 7 * 9\\\\3 * 16 + 63\\\\48 + 63\\\\= 111[/tex]
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Find the 9th term geometric sequence 1,1/2,1/2^2w. Please show the steps.
Answer:
9th term geometric sequence (a9) = 1 / 256
Step-by-step explanation:
Given:
Geometric sequence 1,1/2,1/2²
First term (a) = 1
Common ratio (r) = A2 / A1 = (1/2) / 1 = 1/2
Number of term (n) = 9
Find:
9th term geometric sequence (a9)
Computation:
[tex]an = ar^{n-1}[/tex]
a9 = ar⁹⁻¹
a9 = (1)(1/2)⁸
a9 = (1/2)⁸
a9 = 1/256
9th term geometric sequence (a9) = 1 / 256
HELP ASAP!!! BRAINLIEST!
Answer:
( 1/25 x^-12 y^-14 )
Step-by-step explanation:
( 5 x^6 y^7 ) ^-2
We know that ( ab) ^c = a^ c * b^c
( 5^-2 x^6^-2 y^7^-2 )
We know that a^b^c = a^(b*c)
( 5^-2 x^-12 y^-14 )
We know that a^ -b = 1/ a^b
( 1/25 x^-12 y^-14 )
BRAINLIEST!! GEOMETRY THANKS!!! In rectangle shown B and F are midpoints of AC and AE , respectively. Find the ratio of the area of quadrilateral ABDF to the area of rectangle.
Answer:
1:2
Step-by-step explanation:
The area of ΔFED must be 1/4th of the entire area and so must the area of ΔBCD because B and F are the midpoints. Therefore, the area of ABDF is 1 - 1/4 - 1/4 = 1/2 of ACDE's are so the ratio is 1:2.
A school recorded the number of times pupils were late each month. Colin says 'the number of lates in March was half that in January.' is he correct? Show how you know
Answer:
Colin is wrong
Step-by-step explanation:
The question is incomplete because the chart or the table which shows the data is not given. I have attached the full question at the bottom. Consult it for better understanding.
We can clearly see in the chart the number of lates in January is 30, while the number of lates in March is 20.
As the half of 30 is 15, not 20, we can say that the statement of Colin is wrong, because the number of lates in March should be 15 to prove his statement true
The Patel, Lopez, and Russo families all had parties recently. There were 152 adults at the Lopez party. The ratio of adults to children at the Russo party was 5 to 4. What was the ratio of adults to children at the Patel party
Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
The Patel, Lopez, and Russo families all had parties recently. There were 152 adults at the Lopez party. The ratio of adults to children at the Russo party was 5 to 4. What was the ratio of adults to children at the Patel party?
(1) The Russo party had 31 more adults than children, and 47 more adults than did the Patel party.
(2) The Patel party had 40 more children, though 4 fewer people in total, than did the Lopez party, where the ratio of adults to children was 8 to 5.
Answer: Let the number of children in Russo party be x, The Russo party had 31 more adults than children, therefore the number of adults at the Russo party = x + 31. The ratio of adults to children at the Russo party was 5 to 4, we can find the number of children using:
[tex]\frac{5}{4}=\frac{x+31}{x}\\ 5x=4x+124\\x=124[/tex]
The number of children at the Russo party is 124 and the number of adult is 155 (124 + 31).
They are 47 more adults at the Russo party than the Patel party, the number of adult at the Patel party = 155 - 47 = 108
the ratio of adults to children was 8 to 5 at the Lopez party, There were 152 adults at the party. Let x be the number of children at the Lopez party therefore:
[tex]\frac{8}{5}=\frac{152}{x}\\ 8x=760\\x=95[/tex]
The Patel party had 40 more children than the Lopez, the number of children at the Patel party = 135 (95 + 40).
The ratio of adults to children at the Patel party is [tex]\frac{108}{135} =\frac{4}{5}[/tex]
Use De Morgan's laws to write negations for the statement. Sam is an orange belt and Kate is a red belt.
A. Sam is an orange belt or Kate a red belt.
B. Sam is not a red belt and Kate is not an orange belt.
C. Sam is not an orange belt and Kate is not a red belt.
D. Sam is not a red belt or Kate is not an orange belt.
E. Sam is not an orange belt or Kate is not a red belt.
Answer:
C. Same is not an orange belt and Kate is not a red belt.
Step-by-step explanation:
The negation for the statement is Sam is not an orange belt or Kate is not a red belt.
What is Negation of De- Morgan's Law?The negation of a conjunction is equivalent to the disjunction of the negation of the statements making up the conjunction. To negate an “and” statement, negate each part and change the “and” to “or”.
Given statement:
Sam is an orange belt and Kate is a red belt.
Now, to make the negation we have to consider the rule "To negate an “and” statement, negate each part and change the “and” to “or”."
So, the negation statement would be
Sam is not an orange belt or Kate is not a red belt.
Learn more about De Morgan's laws here:
https://brainly.com/question/13317840
#SPJ2
plzzzz answer right away will mark BRAINLIST AND FIVE STARS PLUS The table below shows the possible outcomes of rolling a six-sided number cube and flipping a coin. A 7-column table with 2 rows. Column 1 has entries H, T. Column 2 is labeled 1 with entries H 1, T 1. Column 3 is labeled 2 with entries H 2, T 2. Column 4 is labeled 3 with entries H 3, T 3. Column 5 is labeled 4 with entries H 4, T 4. Column 6 is labeled 5 with entries H 5, T 5. Column 7 is labeled 6 with entries H 6, T 6. What is the probability of getting a number less than 3 and a tails? StartFraction 1 over 12 EndFraction StartFraction 1 over 6 EndFraction One-fourth One-third
Answer:
P((1 or 2) and Tail) = 1/6 = StartFraction 1 over 6
Step-by-step explanation:
A six-sided die and a coin.
Probability of getting <3 and tail.
P((1 or 2) and Tail)
= 2/6 * 1/2
= 1/6
Answer:
1/6
Step-by-step explanation:
In the diagram below, BD is parallel to XY. What is the value of y?
Answer:
67 degrees
Step-by-step explanation:
alternate exterior angles are always congruent
Answer:
The value of y is 67°.
Step-by-step explanation:
Here, given that;
BD is parallel to XY. let EF be a transversal line meeting BD at O and XY at P.
now, angle XQF = 67°
now, angle XQF + angle YQF=180° (being linear pair)
or, 67°+angle YQF =180°
or, angle YQF=180°-67°
therefore angle YQF = 113°.
now, angle YQF + angle PQY=180° (being linear pair).
now, 113°+angle PQY = 180°.
or, angle PQY = 180°-113°.
therefore, angle PQY =67°.
again, angle EPD= angle PQY (being corresponding angles).
or, y°= 67°.
Therefore the value of y is 67°.
hope it helps...
I need help ASAP thank you!! Sorry if you can’t see it but you can zoom in:)
Answer:
432 aquariums
Step-by-step explanation:
To determine the number of aquariums the factory made, find the volume of 1 aquarium, then divide the total volume of water required.
Solution:
Volume of triangular prism aquarium = triangular base area × length of triangular prism
Volume = ½*b*h*l
Where,
b = 8 ft
h = 4 ft
l = 3 ft
Volume = ½*8*4*3 = 4*4*3
Volume = 48 ft³
Number of aquarium made = Volume of water required ÷ volume of 1 aquarium
= 20,736 ÷ 48 = 432 aquariums
What are the three prime numbers between 40 and 50
Answer:
41, 43, and 47
Step-by-step explanation:
The numbers between 40 and 50 are:
41, 42, 43, 44, 45, 46, 47, 48, and 49
Prime numbers are numbers that have only 2 factors, 1 and themselves.
So from the numbers above we are now able to find the prime numbers.
1 * 41 = 41
1 * 43 = 43
1* 47 = 47
41, 43, and 47 have only 2 factors, 1 and themselves.
Hope this helps!!
This problem is kinda hard for me can you please help
Answer:
A
Step-by-step explanation:
If the post of the fence is 10 feet long. And we know that 3(1/3) of the fence is underground. We just need subtract 3(1/3) from 10.
10-3=7
7-(1/3)=6(2/3)
PLEASE HELP What is the y-value in the solution to this system of linear equations?
4x + 5y = -12
-23.4 3y=-16
-4 -2 2 5
Answer:
-2.
Step-by-step explanation:
4x + 5y = -12
-23.4x + 3y = -16
23.4[4x + 5y = -12]
4[-23.4x + 3y = -16]
93.6x + 117y = -280.8
-93.6x + 12y = -64
129y = -344.8
y = -2.672868217
That is about -2.
Hope this helps!
Find the median, mean and mode of : 0,2,2,4,4,6,6,6,6 pls show working
Answer:
Step-by-step explanation:
The median is 4, which is the middle number. If there is no middle number, get the average of the two numbers closest to the median.
The mean is 4, which is the average of all the numbers. you add all of them up and divide by how many integers there are in the list.
The mode is 6, which is the integer that is shown the most.
Answer:
mean=4
median=4
mode=6
Step-by-step explanation:
Mean: add 0+2+2+4+4+6+6+6+6=36
36/ (the amount of numbers) 9= 4
Median: cross out the numbers left to right until you get to the middle which is 4.
Mode: 6 occurred four times, which is the most out of any of the other numbers in this sequence, so the answer is 6.
Find an equation of the line through the point (3,2) with a slope of −2.
Pls help I can't understand
Answer:
A
Step-by-step explanation:
This shape is a trapezoid. We can divide into two parts: a triangle and a rectangle.
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let A' be the area of the triangle.
● A'= (b*h)/2
b is the base and h is teh heigth.
b= 26-20 = 6 mm
● A'= (6*14)/2 = 42 mm^2
●●●●●●●●●●●●●●●●●●●●●●●●
Let A" be the area of the rectangle.
A"= L*w
L is the length and w is the width.
A"= 14*20
A"= 280 mm^2
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let A be the area of the trapezoid.
A= A'+A"
A= 42+280
A= 322 mm^2
