Answer:
A. an = -51+12(n-1)
Step-by-step explanation:
edge quiz
The solution is, the explicit rule for the arithmetic sequence is
a n = -51 + ( n - 1 ) · 12 .
What is Arithmetic progression?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
The nth term of AP : a_n = a + (n – 1) × d
here, we have,
given that,
a 2 = -39
a 2 = a 1 + 12
- 39 = a 1 + 12
a 1 = - 39 - 12
a 1 = - 51 ( first term )
The common difference is : d = 12
The explicit rule for the arithmetic sequence:
a n = a1 + ( n - 1 ) d
a n = -51 + ( n - 1 ) · 12
Hence, The solution is, the explicit rule for the arithmetic sequence is
a n = -51 + ( n - 1 ) · 12 .
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Pleaseee , whic graph represents the inequiality?
Solve Each Equation PLS SHOW WORK
|8m + 7| - 5 = 60
Answer:
m = 7.25
Step-by-step explanation:
8m + 7 - 5 = 60
Evaluate like terms.
8m + 2 = 60
Isolate 8m.
8m = 60 - 2
Evaluate.
8m = 58
Find m.
m = 58 ÷ 8
m = 7.25
Answer:
Step-by-step explanation:
l8m+7l = 65
(8m+7) = 65 or -(8m+7) = 65
8m = 65-7 or -8m = 65 + 7
m= 58/8 or m = 72/(-8)
m= 7. 25 or m = -9
Can someone help me please
Answer:i would say the answer is A
Step-by-step explanation:its my personal opinion i hope it helps
A tile backsplash is being installed. The installation fee is $150.00. The title is priced at $2.75 per square foot, f. Which equation best represents the total cost, c, of the backsplash
A. c = 150f + 2.75
B. c = 2.75 - 150f
C. c = 2.75 + 150
D. c = 152.75f
Answer:
c = 2.75f + 150Step-by-step explanation:
The installation fee is one off payment and tiles price depends on the area, so the total price for f square foot tile is:
c = 2.75f + 150It seems to be the option C but there is a typo (missing f)
Answer:
c = 2.75f + 150Given:
Installation fee is $150.00The title is priced at 2.75 square footOption C represents the answer.
Answer - c = 2.75f + 150
Use the values ln 4≈1.4 and ln 100≈4.6 to find the approximate value of log 4 100. log4100≈6.0
log4100≈0.30
log4100≈3.3 l
log4100≈6.4
By using logarithm properties and arithmetic operations, the approximate value of the logarithm of base 4 of 100 is approximately equal to 3.3.
How to estimate the value of a logarithm by base change property for logarithms
In this problem we find two approximate value of two natural logarithms and we are asked to find the value of a logarithm of base 10 in terms of the two natural logarithms, whose approximate values are given. This can be done by using logarithm properties, especially the base change property:
㏒₄ 100, ㏑ 4, ㏑ 100 Given
㏑ 100 / ㏑ 4 Base change property of logarithms
4.6 / 1.4 Substitution of each logarithm (Step 1)
23 / 7 Amplification of fraction / Definition of multiplication
3.286 Definition of division / Result
The approximate value of the logarithm of base 4 of 100 is approximately equal to 3.3.
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PLEASE HELP MEEEEE!!!!!
Answer:
I think it might be d
Step-by-step explanation:
6 + 8(x - 1) = 2(3x + 4)
6 + 8x - 8 = 6x + 8
8x - 2 = 6x + 8
14x - 2 = 8
14x = 10
5
x=7
The mistake was.....
The correct answer is x=?
Step-by-step explanation:
6+ 8x-8 = 6x +8
-2+8x= 6x+8
-6x+8x=2+8
2x=10/2
x=5
The mistake was that u didn't change 6x in ti-6x. when u transfer numbers over the = thery change if positive to negative and if negative to positive
I hope I helped
Will mark brainliest for whoever answers
Answer:
The correct answer is A.) as the diameter of a bubble increases, the volume of the bubble increases
Step-by-step explanation:
100 students are interviewed to see which of biology, chemistry or physics they prefer.
39 of the students are girls. 21 of the girls like biology best.
16 of the boys prefer physics.
11 out of the 34 who prefer chemistry are girls.
What percentage of the students prefer biology?
.
Answer:
43%
Step-by-step explanation:
There are 39 girls. 21 of them like biology. 11 out of 34 who like chemistry are girls.
No. of girls who prefer biology = 21
There are (100-39) boys. 16 of them like physics. (34-11) of them like chemistry.
No. of boys who prefer biology = 100-39-16-34+11
= 22
Percentage of students who prefer biology = [tex]\frac{21+22}{100}[/tex] × 100%
= [tex]\frac{43}{100}[/tex] × 100%
= 43%
What are the coordinates for a dilated triangle, A'B'C', if
the scale factor for the dilation is 0.75?
Answer:
3
Step-by-step explanation:
Answer: Answer is D
Step-by-step explanation:
I just did the question
x : y = 5:3 and y: z = 7:10 Find x: z
Answer: USE A APP CALLED AIR MATH IT HELPED ME ALOT YOU TAKE A PICTURE
Step-by-step explanation:
8th grade math plz help
Answer: D I think?
Step-by-step explanation:
I answered it but i dont see the right answer tell what you think
Answer:
The answer you selected, E, A, D, C, B, is correct
Step-by-step explanation:
So, to solve this, you would first need to put all of the given numbers into the same form, and in this example, I will put them all in decimal form.
Once put in decimal form, here is the value of each letter:
A: 4.35B: 4.89C: 4.60D: 4.50E: 4.20You can now put the numbers in least to greatest order, which will get you the answer E, A, D, C, B.
Hope I helped!!! :)
Polly buys 4.4 yards of fabric for $16.50. What is the cost per yard?
Answer:
1 yard is $3.75
Step-by-step explanation:
4.4 to get 1 divide by 4.4
so divide 16.50 by 4.4 to get $3.75
Answer:
1 yard is $3.75
Step-by-step explanation:
$16.50 ÷ 4.4 yards = $3.75
I hope this helps you and your assignment!
Determine which quadrant the point is in: (-2,-5)
Quadrant
20% of the people in a school hall are teachers and the rest are pupils. 75% of the pupils are boys and there are 72 more boys than girls. How many boys must leave the hall so that 20% of the people in the hall ar boys?
Answer:36
im pretty sure when I looked it up it said
Answer:
hahahha
Step-by-step explanation:
Determine the value of k so that f(x)=x^3+kx^2-kx-93 is divisible by (x+3) with no remainder
Answer:
k = 10
Step-by-step explanation:
For f(x) = x³ + kx² - kx - 93 to be divisible by (x+3) with no remainder, it means that at (x + 3) is a factor of the polynomial f(x).
Thus, it means that at x = -3, f(x) must be equal to zero.
Thus;
(-3)³ + k(-3)² - k(-3) - 93 = 0
-27 + 9k + 3k - 93 = 0
12k - 120 = 0
12k = 120
k = 120/12
k = 10
Which is the length of the hypotenuse for a right triangle with leg a = 8 and leg b = 15 cm?
Answer:
[tex] \huge{ \boxed{ \tt{17 \: cm}}}[/tex]
Option D is the correct choice.
☪ First , Let's know about right triangle , legs and hypotenuse :
A right triangle is a triangle with an angle of 90°.The two sides that form the right angle are called legs.The opposite side of right angle is the hypotenuse.☥ Let's explore about The Pythagorean Theorem :
Pythagoras was one of the first mathematician to recognize the relationship between the sides of a right triangle. This special relationship forms ' The Pythagorean Theorem '.The Pythagorean theorem states that the sum of the squares of the legs of a right triangle equals the square of the length of a hypotenuse. In algebraic terms , The Pythagorean Theorem is stated as : [tex] \boxed{ \sf{ {a}^{2} + {b}^{2} = {c}^{2} }}[/tex]------------------------------------------------------------
☯ Now , let's start to solve :
✑ [tex] \underline{ \underline{ \text{Given}}} : [/tex]
a = 8 cm , b = 15 cm✑ [tex] \underline{ \underline{ \text{To\: Find}}} : [/tex]
Length of a hypotenuse ( c )✐ [tex] \underline{ \bold{ \underline{Using \: Pythagorean \: Theorem}}} \: : [/tex]
☞ [tex] \boxed{ \bold{ \sf{ {a}^{2} + {b}^{2} = {c}^{2} }}}[/tex]
Substitute the known values :
↦ [tex] \sf{ {8}^{2} + {15}^{2} = {c}^{2}}[/tex]
↦ [tex] \sf{64 + 225 = {c}^{2} }[/tex]
↦ [tex] \sf{289 = {c}^{2} }[/tex]
↦ [tex] \sf{ {c}^{2} = 289 }[/tex]
Take the square roots of both sides :
↦ [tex] \sf{ \sqrt{ {c}^{2} } = \sqrt{289}} [/tex]
↦ [tex] \boxed{ \sf{c = 17 \: cm}}[/tex]
The length of the hypotenuse is [tex] \boxed{ \bold{ \text{17 \: cm}}}[/tex].
And we're done!!
Hope I helped!
Have a wonderful day ! ツ
~TheAnimeGirl ♡
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Sheila bought several bags of balloons and boxes of candles. The candles cost $15 per bix, and the balloons cowt $8 per bag. She bought a total of 17 bags and boxes and paid a total kf $192. How manh bags of balloons did sheila buy?
Answer:
balloons= 9
candles= 8
Step-by-step explanation:
let the number of balloons be x
and candles be y
So
15x+8y=192----------1
x+y=17--------------2
from 2, x= 17-y
put x= 17-y in 1
15( 17-y)+8y=192
255-15y+8y=192
solve for y
-7y=192-255
-7y=-63
x=63/7
x=9
put x= 9 in 1
9+y=17
y= 17-9
y=8.
Point P( 1, –1) is rotated 180°, then translated
( − 1, − 2).What is P′′?
Answer:
P" = (-2, -1)
Step-by-step explanation:
When a point P(x, y) is rotated 180° clockwise or anticlockwise the coordinates of the new point P'(x', y') become (-x, -y). The rotated point has coordinates which are negative of the original coordinates
When a point is translated (a, b) then new coordinates become (x + a,, y + b)
Here point P is (1, -1)
Rotation by 180° ⇒ rotated point P'(-1, 1)
If we translate P' by (-1, -2) translated point
P" has coordinates x" = -1 -1 = -2 and y" = 1 -2 = -1
So coordinates of P" are (-2, -1)
i need help with conditional statements if your first do top 2 if your second do bottom 2
Answer:
1: Converse: If GH is 3, then G is at 4
Inverse: If G is not at 4, the GH is not 3
Contrapositive: If GH is not 3, then G is not 4
2: Converse: If QR =(~) RS, then R is the midpoint of QS
Inverse: If QR does not =(~) RS, then R is not the midpoint of QS
Contrapositive: If R is not the midpoint of QS, the QR does not =(~) RS.
Step-by-step explanation:
Converse is to switch the two
Inverse is to make them both untrue, like if 1 +1 is 2, then 2+2 is 4, you could say if 1+1 is not 2, the 2+2 is not 4
Contrapositive is to switch them around and make them both untrue
Can I please have brainliest ;D
T a bake sale, bags of cookies sold for $2.00, $2.50, or $3.00, depending on the size. altogether, 106 cookies were sold, and $256 was earned for the sales. twice as many cookies were sold at the $2.00 charge than at the $3.00 charge. a. write a system of equations to represent this situation. be sure to define your variables.
71 cookies were sold at $2.00 each, whereas 35 cookies were sold at $3.00
What are simultaneous equations?
Simultaneous equations are related equations that are solved together to determine their unknown variables
Given : bags of cookies sold for $2.00, $2.50, or $3.00, depending on the size. altogether, 106 cookies were sold, and $256 was earned for the sales.
Let X be number of cookies sold at $3.00
Then cookies sold at $2.00 would be 2X
2X+X=106
3X=106
X=106/3
X=35(cookies sold at $3.00)
cookies sold at $2.00=106-35
cookies sold at $2.00=71
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please help will give brainlest
Answer: ) (0,0), (0,2), (2,0), (4,2); Maximum value of 10
Hope this helps :)
Find the coordinates of the midpoint of a segment with the given points. 16,5 and 28,-13
The coordinates of the midpoint are 22,-4.
What is a midpoint?A location that is halfway between two other points is considered to be a line segment's midway. The distance between the midway and each endpoint is the same.
Given that the coordinates of the midpoint of a segment with the given points. 16,5 and 28,-13.
The midpoint will be calculated as:-
M = ( x₁ + x₂ ) / 2 , ( y₁ + y₂ ) / 2 ,
M = ( 16 + 28 ) / 2 , ( 5 - 13 ) / 2 ,
M = ( 44 ) / 2 , ( -8 ) / 2 ,
M = 22 , -4
Therefore, the coordinates of the midpoint are 22,-4.
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NEED ANSWER ASAP!!!!!!!!
An airplane is flying at 32,000 feet when it starts it’s decent. It is
descending at a rate of 2000 feet per minute. Let x represent the minutes
of the flights descent and y represent the plane’s altitude.
a. Fill in the table.
b. Write an equation in slope-intercept form for the plane’s altitude.
c. Graph the equation from part (b).
Step-by-step explanation:
table
0 32000
1 30000
2 28000
3 26000
4 24000
question 2
y= - 2000*x+32000
graphic
l have x #50 note and y#100 note.There are eight note altogether and their total value is#550. how many of each note do i have
Given the total number of notes is eight and their value total is $550, then you have 5 notes of $50 and 3 notes of $100
As per the question statement, You have [tex]x[/tex] number of $50 notes and [tex]y[/tex] number of $100 notes. Their total value of $550 and total number of notes are eight. We are supposed to calculate the value of [tex]x[/tex] & [tex]y[/tex]
This question is a classic example of how to form and solve linear equations. For solving this, we will have two equations, both in two variable x and y.
As we have total 8 notes, therefore,
[tex]x+y=8[/tex]
And their total value is 550, therefore,
[tex]x*50+y*100=550[/tex]
From 1st equation we get, [tex]y=8-x[/tex]
substituting this in another equation, we get
[tex]x*50+(8-x)(100)=550\\50x+800-100x=550\\800-50x=550\\50x=250\\x=5[/tex]
Solving for y, we get
[tex]y=8-x\\x=5\\y=8-5\\y=3[/tex]
Therefore we have 5 notes of $50 i.e., [tex]x=5[/tex] and 3 notes of $100 i.e., [tex]y=3[/tex]
Linear Equations: It is an equation which when plotted on a graph forms a straight line and we solve for an unknown number called as variable. Here we are solving for two variables hence the two equations are to be formed.To learn more about such questions, click on the link given below:
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pls help me
1. If y = 24 when x = 2, find y when x is 9.
2. If y = 18 when x = 25, find y when x is 30.
3. If y = 10 when x = 1, find y when x is 20.
4. If y = 10 when x = 21, find x when y is 35
9514 1404 393
Answer:
direct: 108; inverse: 16/3direct: 108/5; inverse: 15direct: 200; inverse: 1/2direct: 147/2; inverse: 6Step-by-step explanation:
We cannot tell what kind of proportionality to assume here.
If x and y are directly proportional, multiplying one by a factor will multiply the other by the same factor.
If x and y are inversely proportional, multiplying one by a factor will divide the other by the same factor.
__
1. Given (x, y) = (2, 24). Direct: y = 9/2(24) = 108.
Inverse: y = 2/9(24) = 16/3
__
2. Given (x, y) = (25, 18). Direct: y = 30/25(18) = 108/5.
Inverse: y = 25/30(18) = 15.
__
3. Given (x, y) = (1, 10). Direct: y = 20/1(10) = 200.
Inverse: y = 1/20(10) = 1/2.
__
4. Given (x, y) = (21, 10). Direct: x = 35/10(21) = 147/2.
Inverse: x = 10/35(21) = 6.
Write the function whose graph is the graph of y=x, but is translated 5 units to the left.
Answer:
vsgysshsbsjjsdjususushdggdhwhs
All of the following are requirements to serve in the Senate EXCEPT:
A.
A candidate must be at least 30 years old.
B.
A candidate must be a resident of the state he/she wishes to represent.
C.
A candidate must be born in the United States.
D.
A candidate must be a citizen of the United States.
Please select the best answer from the choices provided
A
B
C
D
Answer:
C
Step-by-step explanation:
Senators don't need to be born in the United States. They only need nine years of U.S. citizenship to qualify for office.
Answer:
its c cause its cool
Step-by-step explanation:
Help! I’m awful at graphs and stuff
Answer: for b: function one has a greater rate of change
Step-by-step explanation: sorry i don't know the first one
Answer:
a) -2 and 4, b) function 2
Step-by-step explanation:
Rate of change is the same thing as slope. For the first function, the table, we can use two of the points and the slope formula. I'll use (-1,3) and (-2,5). Remember the slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Plug the points in:
[tex]m=\frac{5-3}{-2-(-1)}\\m=\frac{2}{-1}\\m=-2[/tex]
(Remember that subtracting a negative = adding. I look at it like the two 'minus' signs form one plus sign, if that helps)
So the slope of function 1 is -2.
We can do the same thing with the second function. Two points that I notice on the graph are (-1,0) and (0,4). Let's use the same slope formula.
[tex]m=\frac{4-0}{0-(-1)}\\m=\frac{4}{1}\\m=4[/tex]
And the slope of function 2 is 4. That answers the first part. The second part asks about rate of change.
Function 2 has a greater rate of change, since 4>-2.
Hope this helps!