Answer:
[tex]S_{32}[/tex] = - 1216
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 24 and d = a₂ - a₁ = 20 - 24 = - 4 , then
[tex]S_{32}[/tex] = [tex]\frac{32}{2}[/tex] [ (2 × 24) + (31 × - 4) ]
= 16(48 - 124)
= 16 × - 76
= - 1216
What is the slope-intercept form of the equation of a line that passes through (1,-6) with a slope of 5?
Answer:
y - y1 = m(x - x1)
y + 6 = 5 (x - 1)
y + 6 = 5x - 5
y = 5x - 5 - 6
y = 5x -11
y = mx + b
Slope intercept b = -11
What is the shortest path that will visit point A, B, C, and D?
https://dw6y82u65ww8h.cloudfront.net/organisations/328/94ce962c-bb45-4cbb-8c4a-2b1e1ed75681/img_quad_vertexedge_d.gif
link to graph
A to D to C to B
C to B to D to A
B to A to D to C
A to B to C to D
Answer:
A to D to C to B
Step-by-step explanation:
A to D to C to B only takes 10.5. Everything else takes a longer distance.
a yellow box contains 400 tickets that come in three colours. Blue, green, and yellow. the ratio of blue to green tickets is 1:3. the ratio of green to yellow tickets is 1:4. what aid the smallest number of tickets that must be drawn from the box to ensure that at least 50 tickets of one colour have been selected
PLEASE HELP! I need the answer urgently!!
Answer:
Correct Answer is E
Step-by-step explanation:
If B rate and C rate should subtract each other which rules out answers A and B
hence making the total trip would be ~3 hours so answer E adding the rates would be the correct Answer.
can someone help with surface area. I'll give them brainlyest
Answer:
To fine the surface area is to add all the area of the faces
help me with this math question please I'm giving away brainliests
Answer:
2 AND -10
Step-by-step explanation:
Answer:
domain: all real numbers except 2 and -10; x-intercept: 4; y-intercept: 1/5
Step-by-step explanation:
The domain consists of the set of all possible values x can be. In a fraction, the denominator cannot be equal to 0. We can solve for the values x cannot be equal to by factoring and exclude them out of the domain once we’ve found them:
To factor x^2 + 8x - 20, we are looking for two numbers that have a product of -20 and a sum of 8. These two numbers are 10 and -2. So, it can be factored to:
(x + 10)(x -2) not equal 0
So x ≠ 2 and x ≠ -10.
To find the x-intercept, the value of y would be zero. We can substitute y as 0 to get:
0 = (x - 4) / x^2 + 8x - 20
The only way for this fraction to equal 0, is for the numerator to be 0. We get the equation:
x - 4 = 0,
And x = 4
To find the y-intercept, the value of x would be 0. We can substitute x with 0 to get:
y = -4 / -20 = 1/5
These answers align with the second option.
I have 20 mins to do this... If i dont finish I fail i have a C atm if I get a D i fail. PLZ HELP
Answer: Mean is 7 and median is 7
Step-by-step explanation:
2+6+3+10+9+8+10+6+6+10/10
=7
2,3,6,6,6,8,9,10,10,10
6+8/2
=7
Answer:
Terry= mean is 7, median is 7
David= mean is 4.4, median is 4
Step-by-step explanation:
I do not really understands what it means by compare them.
A person invested $3,600 in an account growing at a rate allowing the money to
double every 13 years. How long, to the nearest tenth of a year would it take for the
value of the account to reach $11, 300?
Answer:
20.8 years
Step-by-step explanation:
I got 13 years for a single (7,200), then I got the amount rounded to the nearest tenth and got the amount of years out of 13. Then, I added that into 13 to get 20.8!
Select the correct answer.
A and АВ:
Which matrix is matrix B?
Answer:
Option B
Step-by-step explanation:
Looking at the options, option B is correct because when multiplying it by matrix A, it yields the matrix AB as follows;
First row of A multiplied by first column of matrix in option D;
(1 × -1) + (0 × 0) + (0 × 0) = -1 which corresponds to the first number on the first row of Matrix AB
Since majority of matrix AB are zero, I will just prove the ones that are not zero.
Thus;
Second row of matrix A is multiplied by second column of matrix in option D;
(0 × 0) + (-1 × -1) + (0 × 0) = 1 which is same as 2nd number on second row in matrix AB
Lastly, third row of matrix A is multiplied by third column of matrix in option D;
(0 × 0) + (0 × 0) + (1 × -1) = -1 which is same as third number in third row in matrix AB
Answer:
Option B
Step-by-step explanation:
Did the plato test
Use the tangent to find the length of side QR. Express your answer to the nearest tenth. The length of side QR is approximately _____ units.
Answer:
3.9
Step-by-step explanation:
tan = opposite side/adjacent side
tan 61 = 7.1/QR
QR tan 61 = 7.1
QR = 7.1/tan 61
= 3.9
Note: If you memorize the definitions of all the trig functions, then these kinds of problems will be much easier. OK?
heyy free 40 points I would give more but i have done 100 ,60 ,and 40
Answer:
sup bro
Step-by-step explanation:
Answer:
tyy
Step-by-step explanation:
What is the most specific name for the figure?
A(-4a, -2b)
B(-8a, -2b)
C(-4a, b)
D(0, b)
B
А
A. Parallelogram
B. Rectangle
C. Square
D. Rhombus
rhombus is the answer.....
Answer: is parallelogram
Step-by-step explanation:
What is the distance between tow points (1,5)(-8,4)
Answer:
[tex]\displaystyle d = \sqrt{82}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (1, 5)
Point (-8, 4)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-8-1)^2+(4-5)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-9)^2+(-1)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{81+1}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{82}[/tex]what is the quotient of the following rational expression?
Answer: i cant see it
Step-by-step explanation:
Answer: It's the second one
Step-by-step explanation:
If a place you like is renting for $800, and you had one other renter with whom you split the rent expense, how much does your GROSS INCOME need to be?
a.
$800
b.
$700
c.
$600
d.
$1,200
e.
$400
Answer:
How much should I spend on rent and utilities?
We calculate your monthly rent at 25% of your monthly net income (after monthly debt). This allows you to have enough cash left for other expenses and savings. Utilities are in general 2.5% of your monthly net income, and so in this case, you should expect to spend $0 or more per month on utilities.
Step-by-step explanation:
Answer:
the correct answer is e.$400
help me with my math both question please
Answer:
whats the question...
Step-by-step explanation:
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:
Solution given:
Since it is a isosceles trapezoid so it diagonal will be congruent so
PR=QS
PT+RT=12cm
4.9+RT=12cm
RT=12-4.9
RT=7.1cm
PS=QR
QR=9cm
m<QPR=44° base angle of isosceles triangle
m<PTQ=180°-44-44=92°[interior angle remaining of traingle]
m<STR=m<PTQ
m<STR=92°
1= 1/4c what is c ? pls help i could not figure this one out haha
Step-by-step explanation:
it say the answer is 4 but I don't know how
kyle's can drive about 360 miles on 11.9 gallons of as which would cost about $
Given the figure below find the value of x and d
Answer:
x = 2
z = 118
Step-by-step explanation:
The angle with a measure of 118° and the angle labeled "x" are vertical angles
As we know, vertical angles are congruent
Thus, because x's vertical angle equals 118° x also equals 118°
The angle with a measure of 118° and the angle labeled by the expression ( 12x + 38 ) are supplementary angles
Supplementary angles add up to equal 180
Thus, 12x + 38 + 118 = 180
^Note that this is the equation we will use to solve for x
12x + 38 + 118 = 180
step 1 combine like terms
118 + 38 = 156
we now have 12x + 156 = 180
step 2 subtract 156 from each side
156 - 156 cancels out
180 - 156 = 24
we now have 24 = 12x
step 3 divide each side by 12
12x / 12 = x
24 / 12 = 2
we're left with x = 2
describe fully the single transformation that takes shape p onto shape q
Answer:
The single transformation that takes shape 'p' onto shape 'q' is a dilation by a scale factor of 3 with the center point (1, 0)
Step-by-step explanation:
The coordinates of the vertices of shape ΔP are;
A(2, 3), B(2, 1), C(3, 1)
The length AB = 3 - 1 = 2
The length CB = 3 - 2 = 1
∴ The length AC = √(2² + 1²) = √5
The coordinates of the vertices of shape ΔQ are;
A'(4, 9), B'(4, 3), C'(7, 3)
The length A'B' = 9 - 3 = 6
The length C'B' = 7 - 3 = 3
∴ The length A'C' = √(6² + 3²) = √(45) = 3·√5
∴ Figure Q ΔA'B'C' is a dilation of figure P ΔABC by a scale factor of A'B'/AB = 6/2 = 3
The distance of point B(2, 1) from the point (1, 0) = √((2 - 1)² + 1²) = √2
The distance of point B'(4, 3) from the point (1, 0) = √((4 - 1)² + 3²) = 3·√2
Therefore, the distances of points on figure Q from (1, 0) = 3 × the distances of points on figure from (1, 0)
Therefore, figure 'Q' can be obtained from figure 'P' by a dilation of figure 'P' by a scale factor of 3 with the center of dilation at point (1, 0).
find the common difference of the arithmetic sequence -1, -6, -11
Answer:
+-5
Step-by-step explanation:
[tex] - 1 + - 5 = - 6[/tex]
[tex] - 6 + - 5 = - 11[/tex]
Answer:
5
Step-by-step explanation:
The common difference id the difference between two consecutive numbers in the sequence.
(1) -11-(-6) = -11 + 6 = 5
(2) -6-(-1) = -6 + 1 = 5
Therefore 5 is the common difference.
Hope it helps you.
Please mark as the brainliest
Thank You
Mr. James will solve the equation 150x = 2200 for x in one step. Which proportion is the MOST appropriate step for Mr. James to use?
Answer:
14.67
Step-by-step explanation:
Mr. James will solve the equation 150x = 2200 for x in one step. Which proportion is the MOST appropriate step for Mr. James to use?
We have the Equation
150x = 2200
Divide both sides by 150
150x/150 = 2200/150
x = 14.666666667
Approximately x= 14.67
Answer:
divide each side by 150
Step-by-step explanation:
The lengths of three sides of a rectangular rug are 25 inches, 50 inches, and 25 inches. What is the
length of the fourth side of the rug?
Answer:
50
Step-by-step explanation:
a rectangle has 2 of the same side lengths and another 2 of the same side lengths. We know that there is a 25 and 25, so there must be another 50 to that 50.
Use the following polygon to find "x":
|(2x + 20) (3x – 10)
(2x)
(2x - 10)
Answer:
[tex]2x + 20 + 2x + 3x - 10 + 2x - 10 = 360[/tex]
[tex]9x = 360[/tex]
[tex]x = 40[/tex]
Find X, and the two angle measures.
Answer:
x = -4
m<LMP = 77°
m<NMP = 103°
Step-by-step explanation:
Straight angles by definition have a total measure of 180°.
This means that m<LMP and m<NMP are 180° together.
Therefore m<LMP + m<NMP = 180°.
[substitution property]
(-16x + 13)° + (-20x + 23)° = 180°
[associative property of addition]
(-36x + 36)° = 180°
-36x + 36 = 180
–36 –36
-36x = 144
÷-36 ÷-36
x = -4
_________________
Since m<LMP = (-16x + 13)°.
Using substitution with x = -4:
m<LMP = (-16(-4) + 13)° = (64 + 13)° = 77°.
Since m<NMP = (-20x + 23)°.
Using substitution with x = -4:
m<NMP = (-20(-4) + 23)° = (80 + 23)° = 103°.
This is true because 77° + 103° = 180°.
You want to spin blue. Does it matter which spinner you spin? Explain
Answer:
No, they both have a 2/6 (1/3) chance of spinning blue.
The function g is defined by g(x) = 2x² +7.
Find g(4y).
Answer:
32y² + 7
Step-by-step explanation:
To evaluate g(4y) substitute x = 4y into g(x) , that is
g(4y) = 2(4y)² + 7 = 2(16y²) + 7 = 32y² + 7
Denise build two seawall to keep rising the water from her house. The first is 8.75 meter long. The second is 37.5 percent longer than the fist. How long is the second seawall?
Answer:
12.0 meters
Step-by-step explanation:
Given data
The first is 8.75 meters long
Let us find 37.5% of 8.75
=37.5/100*8.75
=0.375*8.75
=3.28125
Hence the Second seawall is
=3.28125+8.75
=12.0 meters
What is the missing term?
Answer:
4x
Step-by-step explanation:
I'm not sure though try multiplying