The value of k is equal to -5.5
How to calculate the value of k in this arithmetic sequence?In Mathematics and Geometry, the nth term of an arithmetic sequence can be calculated by using this equation:
[tex]a_n=a_1+(n-1)d[/tex]
Where:
d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.Based on the the common difference of an arithmetic sequence, we have:
k - 2 - 3k = k + 7 - (k - 2)
-2k - 2 = k + 7 - k + 2
-2k - 2 = 9
-2k = 11
k = -11/2
k = -5.5
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A football is kicked vertically upward from a height of 4 feet with an initial speed of 65 feet per second. The formula h=4+65t−16t2 describes the ball's height above the ground, h, in feet, t seconds after it was kicked. Use this formula to find the ball's height 2 seconds after it was kicked. The ball's height, 2 seconds after it was kicked, was nothing feet. I NEED EXTREME HELP PLEASE !!!
Answer: h = 70ft
Step-by-step explanation: To find the height the ball reached after 2 seconds, substitute variable t for 2 and calculate height:
[tex]h=4+65t-16t^{2}[/tex]
[tex]h=4+65.2-16.2^{2}[/tex]
[tex]h=4+65.2-16.4[/tex]
[tex]h=4+130-64[/tex]
h = 70
After 2s, the football reached a height of 70 feet.
Answer:
if its for 3 seconds the answer is 55
Step-by-step explanation:
Aaron bought a $3,000.00 car from Chad's Used Cars. What was his cost of credit if he had a 5 year loan at 3.5% interest? P is the principal, r is the interest rate, m is the number of monthly payments, M is the monthly payment
A. $274.80
B. $380.40
C. $227.04
D. $164.76
Answer:
Term in months. Number of months for this loan. Loan amount. Total amount of your loan. Interest rate. Annual ...
Step-by-step explanation:
Simplify the expression:
31 – (5 – 3 x 4)^2 + 2^6 / 4
a. -2
b. 10
c. 0
d. -3
Answer: A.-2 that the best answer hope this help yu
Step-by-step explanation:31 - (5 - 3 • 4)^2 + 2^6 / 4
31 - (5 - 12)^2 + 2^6 / 4
31 - (-7)^2 + 2^6 / 4
31 - 49 + 64 /4
31 - 49 + 16
-2
Answer:
A. -2
Step-by-step explanation:
31 - (5 - 3 • 4)^2 + 2^6 / 4
31 - (5 - 12)^2 + 2^6 / 4
31 - (-7)^2 + 2^6 / 4
31 - 49 + 64 /4
31 - 49 + 16
-2
A clock that is set fifteen minutes fast is less precise than an identical clock
that keeps correct time.
TRUE OR FALSE
The statement that a clock that is set fifteen minutes fast is less precise than an identical clock that keeps correct time is false
How to determine the true statement?When a time is set away from the correct time, the time on the clock would be incorrect.
However, this has nothing to do with the precision of the clock.
This is so because precision deals with closeness of the time measurement to the original time
Since the time is ten minutes fast, it would not be less precise
Hence, the statement is false
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a. Jacob is the most popular name among the 2,086,814 males born in 2000. The Jacobs make up 1.6516% of all males born that year. How many Jacobs were born in 2000?
Answer:
34,466
Step-by-step explanation:
Given:
Number of males born in 2000 = 2,086,814
Percentage of males bearing Jacob of all males born in 2000 = 1.6516%
Required:
Number of Jacobs born in 2000
Solution:
Number of Jacobs born in 2000 = 1.6516% of number of males born in 2000.
[tex] = \frac{1.6516}{100}*2,086,814 [/tex]
[tex] = 0.016516*2,086,814 = 34,465.82 [/tex]
Number of Jacobs born in 2000 is approximately 34,466.
Ryan sold half of his comic books and
then bought eleven more. He now has 38.
With how many did he begin?
Answer:
54
Step-by-step explanation:
38-11= 27
27×2= 54 so he started with 54 comic books
I will give brainiest help meh
Answer:
One real rational root
Step-by-step explanation:
x^2-4x+4=0
=>x^2-2x-2x+4=0
=>x(x-2)-2(x-2)=0
=>(x-2)(x-2)=0
=>x=2
Therefore one real rational root
Let f(x)=x^2−4x. Solve f(x)=−4.
Answer:
( x + 2) ( x - 2 )
Step-by-step explanation:
f(x) = x^2 -4x
-4 = x^2 - 4x
0 = x^2 - 4x + 4
0 = ( x + 2) ( x - 2 )
( x + 2) ( x - 2 )
If f(x) = x3, evaluate the difference quotient
f(6 + h) − f(6) h
Correct question is;
If f(x) = x³, evaluate the difference quotient: [f(6 + h) − f(6)]/h
Answer:
h² + 108h + 18
Step-by-step explanation:
We are given f(x) = x³
Thus;
f(6 + h) = (6 + h)³ = (36 + 12h + h²)(6 + h) = 216 + 72h + 6h² + 36h + 12h² + h³ = 216 + 108h + 18h² + h³
Then, f(6) = 6³ = 216
Thus;
[f(6 + h) − f(6)]/h = [216 + 108h + 18h² + h³ - 216]/h = (h³ + 108h + 18h²)/h
This gives;
h² + 108h + 18
The midpoint of AB is M(3, 3). If the coordinates of A are (2, -1), what are the
coordinates of B?
Step-by-step explanation:
Hey there!!
It's so simple.
While finding the coordinates of any point if the midpoint is there it will be much easier. You must remember the midpoint formulae.
Let's simply work with it.
Here, A (2,-1) and midpoint M(3,3) are given.
Let another coordinate be B(x,y).
By midpoint formulae,
[tex]midpoint(x.y) = \frac{x1 + x2}{2} ,\frac{y1 + y2}{2} [/tex]
Putting their values,
[tex]m(3 , 3) = \frac{2 + x}{2} , \frac{ - 1 + y}{2} [/tex]
As they are equal, equating with their corresponding elements we get,
[tex]3 = \frac{2 + x}{2} [/tex]
6= 2 + x
x = 6-2
Therefore, the value of a is 4.
Again,
[tex]3 = \frac{ - 1 + y}{2} [/tex]
6 = -1 + y
Therefore, the value of y is 7.
Therefore, the coordinates are B (4,7)
Hope it helps....
Answer:
The coordinates of B is (4, 7)
Step-by-step explanation:
To find the answer for B, you have to do the inverse of the midpoint formula, which is M equals (x1 multiplied by x2, over 2; y1 multiplied by y2, over 2).
If you substitute in A's coordinates for x1 and y1, you come up with (3, 3) = (2+x, over 2; and -1+y, over 2)
If the x coordinate answer for AB was 3, you can create an equation like this to solve for B's x coordinate: 2+x over 2 equals 3.
you multiply 2 by 3 to get 6---> 2+x=6-----> x=4
If the y coordinate for AB was also three, you can create another equation to solve for B's y coordinate: -1+y over 2 equals 3.
you multiply 2 by 3 to get 6 again---->so -1+y=6---->y=7
so the answer for B's coordinates is (4, 7).
solve :(x+1)(x+2)(x+3)(x+4)=120
Answer:
x=1
Step-by-step explanation:
(x+1)(x+2)(x+3)(x+4)=120
Split 120 in it's factors: 2x3x4x5
=>(x+1)(x+2)(x+3)(x+4)=2x3x4x5
=>x+1=2 (Take any one in order)
=>x=1
Answer:
x=1
Step-by-step explanation:
120=2^3*3*5=2*3*4*5=(x+1)(x+2)(x+3)(x+4)
so x+1=2
-1 -1
x=1
Subtract. Fill in the missing numbers, 14 - 8 = 8= _____ + ________ So, 14 - 8 = _______
Answer:
the answer is 6.
Step-by-step explanation:
I think they want you to skip count down by 4 and there's your anwser.
Hope I helped.
SJ
Please help!!!!!!!!!!!!!!
Answer: 40 peaches
Step-by-step explanation:
Let x represent (1/2) the peaches
and y represent (1/2) the strawberries
Peaches Strawberries Ratio
Alice: x - 3 y 1:4
Bryan: x y - 8 1:3
We can create a system of equations:
Alice: 4(x - 3) = y --> 4x - 12 = y
Bryan: 3(x) = y - 8
Substitute y = 4x - 12 into the Bryan equation:
3x = (4x - 12) - 8
3x = 4x - 20
-x = -20
x = 20
Therefore, Alice and Bryan each had 20 peaches, which means Bryan bought a total of 40 peaches.
-2(3y - 6) + 4(5y - 8) = 92
Answer:
y = 8
Step-by-step explanation:
[tex]-2(3y - 6) + 4(5y - 8) = 92\\\\\mathrm{Expand\:}-2\left(3y-6\right)+4\left(5y-8\right):\quad 14y-20\\14y-20=92\\\\\mathrm{Add\:}20\mathrm{\:to\:both\:sides}\\14y-20+20=92+20\\\\Simplify\\14y=112\\\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14y}{14}=\frac{112}{14}\\\\Simplify\\y= 8[/tex]
Answer:
Step-by-step explanation:
-6y + 12 + 20y - 32 = 92
14y -20 = 92
14y = 112
y = 8
pls answer these questions for me pls and thanks
Answer:
16= 4²
25= 5²
36= 6²
49= 7²
64= 8²
81= 9²
so, third option is correct I.e. 49
hope it will help....
-35x+85x-24=26 what is x
Answer:
x=1
Step-by-step explanation:
-35x+85x-24=26
Combine like terms
50x -24 = 26
Add 24 to each side
50x-24+24 =26+24
50x = 50
Divide each side by 50
50x/50 = 50/50
x=1
Answer:
x=1
Step-by-step explanation:
subtract 35 from 85 which would equal 50 and then add x
so 50x-24=26
add 24 to 26 because you want x by itself
which would equal 50
50x=50
divide by 50 on both sides
50/50=1
x=1
In a geometric sequence, the 5th term is 9 and the 7th term is 36. Use the geometric
mean to find the 6th term.
Answer:
18
Step-by-step explanation:
you need to get from 9 to 36 in 2 steps by multiplying, so you need to find what gets 9 to 26 in one turn. 9*4=36, and because 4 is square we know you can multiply by 2 twice to get the same effect. 9*2=18. and just to make sure we can check that 18*2=36
a garden table and bench costs $842 combined. the garden table costs $92 more that the bench. what is the cost of the bench?
Answer:
$375 is what i got on
10 + y = 3 solve for y plz help
Steps to solve:
10 + y = 3
~Subtract 10 to both sides
y = -7
Best of Luck!
Answer:
y= -7
Step-by-step explanation:
All you have to do is subtract 10 from both sides. This eliminates the 10 from the y side and leaves you with y= -7.
please help Solve: x² - 64 = 0
Answer:
x = plus or minus 8
Step-by-step explanation:
x² - 64 = 0
x² = 64
x = [tex]\sqrt{64}[/tex]
x = ± 8
Answer: Solve : x2+64 = 0
Subtract 64 from both sides of the equation :
x2 = -64
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
x = ± √ -64
In Math, i is called the imaginary unit. It satisfies i2 =-1. Both i and -i are the square roots of -1
Accordingly, √ -64 =
√ -1• 64 =
√ -1 •√ 64 =
i • √ 64
Can √ 64 be simplified ?
Yes! The prime factorization of 64 is
2•2•2•2•2•2
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 64 = √ 2•2•2•2•2•2 =2•2•2•√ 1 =
± 8 • √ 1 =
± 8
how to solve for a b and c
Answer:
a=40. b=140. c= 40
Step-by-step explanation:
b is congruent To 140 because of the vertical angles postulate that states two angles vertical from one another are congruent.
a is 40 because it is Supplementary to b Which means that the sum of a and b must add up to 180.
c is Congruent to a due to the vertical angles postulate
What is -6+x-3 if x=2
Answer:
-7Step-by-step explanation:
[tex]-6+x-3 \\x =2\\\\-6+2-3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\\-6+2=-4\\\\=-4-3\\\\=-7[/tex]
Answer:
-7
Step-by-step explanation:
So we have the expression:
[tex]-6+x-3[/tex]
And we want to evaluate it when x is 2.
So, substitute in 2 for x:
[tex]=-6+(2)-3[/tex]
Add the first two terms:
[tex]=-4-3[/tex]
Subtract:
[tex]=-7[/tex]
And that's our answer :)
given the point A(-3,-2) and B(6,1), select two possible locations for point P so that P partitions AB in the ratio 2:1
A. (0,3)
B. (3,0)
C. (-1,0)
D. (0,-1)
E. (1,-1)
Answer: (0,3) & (0,-1)
Step-by-step explanation:
Find two numbers with a sum of 65. Twice the smaller number is 10 more than the larger number.
Answer:
40 and 25Step-by-step explanation:
Let the two numbers be x and y. If the sum of the numbers is 65, then;
x+y = 65........ 1
Given twice the smaller number is 10 more than the larger number, this can be written as 2x = 10+y (taking x as the smallest and y as the largest)
Therefore 2x = 10+y
x = 10+y/2 ....... 2
Substitute equation 2 into 1 to have;
10+y/2 +y = 65
Find the LCM
(10+y+2y)/2 = 65
10+3y/2 = 65
cross multiply
10+3y = 130
3y = 130 -10
3y = 120
y = 120/3
y = 40
Since 2x =10+y
2x = 10+40
2x = 50
x = 50/2
x = 25
Therefore the two numbers are 40 and 25
Answer:
40 and 25
Step-by-step explanation:
I will mark you brainliest!!
Answer:
Alternate-exterior angles theorem.
Step-by-step explanation:
Two parallel lines are cut by a transversal, and if there are a pair of congruent angles that are outside of the parallel lines, and on opposite sides of the transversal, you will have the alternate-exterior angles theorem.
George weighs 60 pounds less than his older brother. Together they weigh 240 pounds. How many pounds does George weigh?
Easy Algebra question!
Let's use "x" as a variable.
The equation would be x+x+60 = 240 with "x" being George's weight.
Subtract 60 from both sides and you get 2x = 180.
From there you divide both sides by 2, getting x=90.
"x" is George's weight, so he weighs 90 pounds.
ANSWER: 90 POUNDS
The weight of George is 90 pounds and the weight of George's brother is 150 pounds.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
George weighs 60 pounds less than his older brother.
Together they weigh 240 pounds.
Let George weigh be x and his brother weigh be y.
x + y = 240 ...1
x = y - 60 ...2
Then from equations 1 and 2, we have
2x = 180
x = 90
Then y will be
y = 90 + 60
y = 150
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Which shows the equation below written in the form ax2 + bx+c= 0?
2x2 - 2 = -5x - 1
Bring all the equation from the right side to the left.
2x² - 2 = - 5x - 1
2x² + 5x - 2 + 1 = 0 (take note that as you bring the number over you also have to flip the sign)
Therefore,
2x² + 5x + 1 = 0 (shown)
( this ans is similar to the form of ax² + bx + c = 0 )
The equation below written in the form ax² + bx +c= 0 is 2x² + 5x + 1 = 0
What is Quadratic equation?In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no ax² term.
Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc.
given:
2x² - 2 = - 5x - 1
2x² + 5x + 1 = 0.
Here, the above equation is in standard form as ax² + bx +c= 0.
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The perimeter of a rectangle is 58 cm. The length is 2 more than twice the width. Let w represent the width.
Answer:
fewaf
Step-by-step explanation:
fsdfadfsadfasfas
In this exercise, lines m and n are parallel. Find the measure of each numbered angle.
ITS 9 PARTS
1 = 62° ( Vertically Opposite Angles )
10 = 62° ( Corresponding Angles )
9 = 10 = 62° ( Vertically Opposite Angles )
6 = 95° ( Vertically Opposite Angles )
7 = 180° - 95° = 85° ( Linear Pair )
8 = 7 = 85° ( Vertically Opposite Angles )
5 = 8 = 85° ( Corresponding Angles )
3 = 5 = 85° ( Vertically Opposite Angles )
4 = 180° - ( 9 + 7 )
4 = 180° - ( 62° + 85° )
4 = 180° - 147°
4 = 33° ( Angle Sum Property )
2 = 4 = 33° ( Vertically Opposite Angles )
what is the difference in meaning between |-3| and -3.
Answer: the lines on the outside mean absolute value and the absolute value of -3 is 3
Step-by-step explanation: