the sum of three consecutive terms of an arithmetic progression is 24, find the middle term?
Answer:
Therefore,
Middle term = 8
Sequence,
a-d, a, a+d = 8-6, 8, 8+6
= 2,8,14
Step-by-step explanation:
Answer:
The middle term is 8
Step-by-step explanation:
The middle term is 8.
A circle has a diameter with endpoints (-8,2) and (-2,6). What is the equation of the circle?
Answer:
the equation would be (x+5)2+(y−4)2=r2
Step-by-step explanation:
The equation would be
(x+5)2+(y-4)2=r2
What is the slope and y-intercept of the following equation:
= − 23 − 1
(show work pls)
Answer:
The slope is -2/3 and the y-intercept is -1.
Step-by-step explanation:
In a linear equation like this, the slope is the coefficient in front of the x after the expression has been completely simplified. In this case, the slope is -2/3.
For the y-intercept, that is simple too; since it is simplified, it is just the number that comes after the x package. So, for this, the y-intercept is -1.
hello I’m new here ! But I’m having trouble understanding how my teacher factored out the A from a-a(1.2^4)? And made it to A(1-1.2^4)?
I attached a picture !
Thank you everyone :)
This is the distributive property:
ab + ac = a (b + c)
In this case, you have
a - a (1.2⁴)
and a is a common factor to both a and a (1.2)⁴, so you can pull it out as
a (1 - 1.2⁴)
What is the inverse of the function f(x)=4x+8?
To find the inverse of a function, we switch out every x for a y and vice-versa.
Original: y = 4x + 8
Flipped: x = 4y + 8
Now, we solve for y again to put this equation into slope-intercept form.
x = 4y + 8
4y = x - 8
y = 1/4x - 2
h(x) = 1/4x - 2
Hope this helps!
How many odd numbers greater than 60000 can be formed, using numbers 2,3,4,5 and 6 if each digit is used only once in each number?
Hello,
All the numbers must begin with 6.
There are still 2,3,4,5 digits : 4 possibilities.
4!=4*3*2*1=24
The first is 62345 and the last 65432.
WILL MARK BRAINLIEST
Please help solve problems with common tangents.
Answer:
not sure, sorry : p
Step-by-step explanation:
convert decimal number system into binary number system:216
Answer:
11011000
Step-by-step explanation:
the binary equivalent of decimal number 216 is 11011000
[tex]\huge\sf\red{Answer}[/tex]
11011000
__________
Hopefully it helps
Can someone help me with this math homework please!
hope this helps you.
Answer:
x values are inputs y values are outputs y = 6Step-by-step explanation:
y = 2 - 4x
y = 2 - 4(-1)
y = 2 + 4
y = 6
hope this helps!
The perimeter of a square is 16 cm. Find the length of its diagonal.
Answer:
perimeter of a square is l+l+l+l
16+16+16+16=64
Answer:
4√2 cm
Step-by-step explanation:
Perimeter of square = 4a = 16cm
a = 16 / 4
a = 4 cm
Length of each side = 4 cm
Diagonal^2 = side^2 + side^2
= 4^2 + 4^2
= 16 + 16
Diagonal^2 = 32
Diagonal = 4√2 cm
Question 12 (5 points)
Determine the value of x
0.28 units
0.98 units
3.58 units
1.12 units
Answer:
1.12 Units
Step-by-step explanation:
1. Use cos(56°) = x/2
Make sure your calculator mode is in deg (degree) not rad(radians)
2. 2(cos(56°)) = x
3. x = 1.118385807
4. Round up to get 1.12 Units
Write the equation of the line from the graph(serious answers only pls)
Answer:
x = -3
Step-by-step explanation:
Here, this is a vertical line
What this mean here is that the x-value remains constant irrespective of the y value
For all the y values, we have a single x-value
so what this mean is to simply locate the x-axis. value and equate it to x
We have this as;
x = -3
I need someone to please explain how to turn this into a simplified fraction. (NOTE: please explain!!) __ 3.541 The repeating sign is only above the 41, not the five
the way to do these recurring decimals is by firstly separating the repeating part or recurring part and then multiply it by some power of 10 so we move it to the left, lemme show
[tex]3.5\overline{41}\implies \cfrac{35.\overline{41}}{10}\qquad \stackrel{\textit{say that the repe}\textit{ating part is }~\hfill }{x = \overline{0.41}\qquad \qquad \textit{so that }35.\overline{41}=35+\overline{0.41}=35+x}[/tex]
now, let's multiply that repeating part by some power of 10 that moves the 41 to the left, well, we have two repeating decimals, 4 and 1, so let's use two zeros, namely 100 or 10², thus
[tex]100\cdot x = 41.\overline{41}\implies 100x - 41+\overline{0.41}\implies 100x = 41+x\implies 99x=41 \\\\\\ \boxed{x =\cfrac{41}{99}}\qquad \qquad \textit{so then we can say that}~~\cfrac{35.\overline{41}}{10}\implies \cfrac{35+\frac{41}{99}}{10} \\\\\\ \cfrac{~~\frac{3506}{99}~~}{10}\implies \cfrac{~~\frac{3506}{99}~~}{\frac{10}{1}}\implies \cfrac{3506}{99}\cdot \cfrac{1}{10}\implies \cfrac{3506}{990}\implies \blacktriangleright \stackrel{\textit{which simplifies to}}{\cfrac{1753}{495}} \blacktriangleleft[/tex]
The solutions to the equation 2x^2 + x - 1 = 2 are x = -3/2 or x = _______.
Answer:
The remaining solution to the equation is x = 1
Step-by-step explanation:
2x^2 + x - 1 = 2
First set the equation to zero by subtracting 2 from each side:
2x^2 + x - 1 - 2 = 2 - 2
2x^2 + x - 3 = 0
Factor the left side of the equation:
2x^2 + x - 3 = 0
(2x + 3)(x - 1) = 0
Now set each factor to zero and solve:
2x+ 3 = 0
2x+ 3 - 3 = 0 - 3
2x= -3
2x/2= -3/2
x= -3/2 (The given expression)
x - 1 = 0
x - 1 + 1 = 0 + 1
x = 1
Since we already knew x = -3/2, the missing solution is x = 1.
question is in the pucture
Answer:
Aiden earned less money for his 8th than he earned for his 4th drive.
[tex]ANSWER:C[/tex]
-------------------------------
HOPE IT HELPS
HAVE A GREAT DAY!!
You want to randomly arrange 4 discs in a CD rack. What is the probability that the rack ends up in alphabetical order
Answer:
The probability is 1/24
Step-by-step explanation:
The total number of possible arrangements is;
4! = 4 * 3 * 2 * 1 = 24
Now, out of all these, there is only one possible correct alphabetical arrangement
so, to get this probability, we have to divide 1 by the total number of possible arrangements
we have this simply as 1/24
I got stuck but if someone could help me with this question it’d be greatly appreciated!
Answer:
In step 1 she multiplied the numerators together and denominators together instead she should have done this
30*5 = 12*x
150=12x
150÷12=x
12.5=x
Someone tell me where everyone is going right please !!
Answer:
A) 100+55x > 150+51x
B) x>12.5
C)13
Step-by-step explanation:
Bc I said so lol :)
Answer:
again hello dude :D
answers are at the photos
GOOD LUCK :D
Step-by-step explanation:
greetings from Turkey ツ
I need help plsss, check all that apply
For two complementary angles find x. The first angle is 4x+9. The second angle is 2x+27
Answer:
x = 9
Step-by-step explanation:
When sum of two angles is 90, then they are known as complementary angles.
4x + 9 + 2x + 27 = 90
4x + 2x + 9 + 27 = 90
Combine like terms
6x + 36 = 90
Subtract 36 from both sides
6x = 90 - 36
6x = 54
Divide both sides by 6
x = 54/6
x = 9
A box contains 3 red balls, 5 white balls, and 10 green balls. If a ball is chosen at random, what is the probability that it is either white OR green?
a. 3/10
b. 5/6
c. 1/2
d. 1/15
The correct answer is option B which is the probability of either white or green is 5/6.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that:-
A box contains 3 red balls, 5 white balls, and 10 green balls. If a ball is chosen at random.The probability that it is either white or green will be calculated as:-
Total balls are :- 3+5+10=18
White or green ball - 5+10=15
3 x 5=15
3 x 6=18
P = N(e)/N(s) = 15/18
P = N(e)/N(s) = 5 / 6
Therefore the correct answer is option B which is the probability of either white or green is 5/6.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ2
What is the area, in square inches, of the trapezoid below
Answer:
89.2 in^2
Step-by-step explanation:
1/2(15.7+6.6)(8)
=89.2 in^2
Answer:
A = 89.2 in²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 8, b₁ = 6.6, b₂ = 15.7 , then
A = [tex]\frac{1}{2}[/tex] × 8 × (6.6 + 15.7) = 4 × 22.3 = 89.2 in²
What is an
equation of the line that passes through the points (0,6) and (-3,2)?
Answer:
Step-by-step explanation:
y=mx+b is the general equation of a line, where
m= slope = (y2-y1)/(x2-x1)= (6-2)/(0- -3)= 4/3
b= y intercept
for point (0,6)
y=(4/3)x+b will become 6=(4/3)*0 +b, so b=6
the equation of the line that passes trough the given points is
y= (4/3) x +6
Answer:
y = 4/3 x + 6
Step-by-step explanation:
M = -4/-3 = 2/3
y = 4/3 X + B
6 = 4/3(0) + B
B=6
There are 25 employees in a office.22 have cell phones 19 have cars, and 2 have niether. How many employees have both.
Answer:
18
Step-by-step explanation:
Let the number of employees with both cell and car be b. Using a Venn diagram shown above,
19 + 22 - b + 2 = 25
43 - b = 25
b = 18
Solve for X. Thank you
Answer:
x = 4
Step-by-step explanation:
The segment inside the triangle is an angle bisector and divides the opposite side into segments that are proportional to the other two sides , that is
[tex]\frac{15}{20}[/tex] = [tex]\frac{x+2}{14-(x+2)}[/tex]
[tex]\frac{3}{4}[/tex] = [tex]\frac{x+2}{14-x-2}[/tex] = [tex]\frac{x+2}{12-x}[/tex] ( cross- multiply )
4(x + 2) = 3(12 - x) ← distribute parenthesis on both sides )
4x + 8 = 36 - 3x ( add 3x to both sides )
7x + 8 = 36 ( subtract 8 from both sides )
7x = 28 ( divide both sides by 7 )
x = 4
nth term of an AP is given by an expression 7n-2,find the common difference of this sequence if fisrt term of sequence is 1? a.2 b.-2 c-7 d7
Step-by-step explanation:
there is something wrong with what your write here as problem description.
either there is something missing in the main expression, or in the answer options.
given your nth-term expression 7n-2, none of the 4 answer options can fit.
so, I thought, maybe there was a typo.
the possible interpretations of the expression could be
7n - 2
7(n-2)
[tex] {7}^{n} - 2[/tex]
[tex] {7}^{n - 2} [/tex]
we know that
a1 = 1
a2 = either
a1 + 2 = 3
a1 - 2 = -1
a1 + 7 = 8
a1 - 7 = -6
so, we can eliminate both negative answer options, because they would cause only negative sequence elements, but the main expression (neither of the 4 possibilities) does not allow that.
but also none of the 4 possibilities of the expression delivers any of the 4 values for a2 as described above.
7×2 - 2 = 14 - 2 = 12
7(2-2) = 7×0 = 0
7² - 2 = 49 - 2 = 47
[tex] {7}^{2 - 2} = {7}^{0} = 1[/tex]
similar not for a3.
so, if I consider your answer options right, we have 4 possible arithmetic sequences:
1. 1, 3, 5, 7, 9, 11, 13, 15, ...
2. 1, -1, -3, -5, -7, -9, -11, -13, ...
3. 1, 8, 15, 22, 29, 36, 43, 50, ...
4. 1, -6, -13, -20, -27, -34, -41, ...
the nth term expression is for
a. an = 2n - 1
b. an = 2×(-n) + 3 = 2×(-n + 1) + 1
c. an = 7n - 6
d. an = 7×(-n) + 8 = 7×(-n + 1) + 1
so, please pick the right expression from this list, and then use the answer option with the same letter.
Find the measure of the indicated angle to the nearest degree.
1)
A) 19°
C) 36°
B) 43°
D) 47°
Answer:
D
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan? = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{18}{17}[/tex] , then
? = [tex]tan^{-1}[/tex] ([tex]\frac{18}{17}[/tex] ) ≈ 47° ( to the nearest degree )
Drag the tiles to the correct boxes to complete the pairs match the scale drawing area and the actual area to the correct scale
Answer:
[tex](a)\ r = 1in : 9ft[/tex]
[tex](b)\ r = 1 in: 15ft[/tex]
[tex](c)\ r = 1 in: 16ft[/tex]
[tex](d)\ r = 1in:4ft[/tex]
Step-by-step explanation:
Given
See comment for complete question
Required
The scale of each area
The scale ratio (r) is calculated as:
[tex]r = scale:actual[/tex]
So, we have:
(a) scale : 13 square inches and actual : 117 square feet
[tex]r = 13in : 117ft[/tex]
Divide by 13
[tex]r = 1in: 9ft[/tex]
(b) scale : 5 square inches and actual : 125 square feet
[tex]r = 5in : 125ft[/tex]
Divide by 5
[tex]r = 1in : 25ft[/tex]
(c) scale : 8 square inches and actual : 128 square feet
[tex]r = 8in : 128ft[/tex]
Divide by 8
[tex]r = 1in : 16ft[/tex]
(d) scale : 12 square inches and actual : 48 square feet
[tex]r = 12in : 48ft[/tex]
Divide by 12
[tex]r = 1in:4ft[/tex]
Solve for x. Round to the nearest tenth, if necessary.
Can someone help with 16 and 18
9514 1404 393
Answer:
16. k^5/j^3
18. 81y^20
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c) . . . . where b may be 0
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
___
We can simplify the given expressions as follows.
16.[tex]\dfrac{k^6j^2}{kj^5}=k^{6-1}j^{2-5}=k^5j^{-3}=\boxed{\dfrac{k^5}{j^3}}[/tex]
__
18.[tex](x^{-2})^2(3xy^5)^4=(x^{-2\cdot2})(3^4x^4y^{5\cdot4})=81x^{-4+4}y^{20}=\boxed{81y^{20}}[/tex]