Answer: the 23rd term of the arithmetic sequence=91
Step-by-step explanation:
The nth term of an arithmetic sequence is given as
an=a+ (n-1) d
Given common difference , d=4 and
first term is a^1 = 3.
We have that
a₂₃=3+ (23-1) 4
a₂₃=3+ (22) 4
a₂₃=3+ 88
a₂₃=91
the 23rd term of the arithmetic sequence=91
If you rolled two dice, what is the probability
that you would roll a sum of 12?
Give your answer as a simplified fraction, Enter
the number that belongs in the green box.
second
first
1 2 4 5 6
11,1 1,2 1,3 1,4 1,5 1,6
212,1 2,2 2,3 2,4 2,5 2,6
33,1 3,2 3,3 3,4 3,5 3,6
44,1 4,2 4,3 4,4 4,5 4,6
5 5,1 5,2 5,3 5,4 5,5 5,6
6 6,1 6,2 6,3 6,4 6,5 6,6
Probability is 1/36.
What is probability?The probability is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.
Two dices were rolled.
Total outcomes in sample space: S = 36
Outcomes which have sum as 12 are E = {(6,6)}
Required Probability: P(E)= 1/36
Hence, Probability is 1/36 of which have sum as 12
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Answer:
1/36
Step-by-step explanation:
What is the median of this set of data?
362, 187, 211, 298, 331, 250, 347, 199
Answer:
187, 199, 211, 250, 298, 331, 347, 362
[tex]median = {( \frac{n}{2} + 1) }^{th} \: value \\ = ( \frac{8}{2} + 1) {}^{th} \: value \\ = {5}^{th} \: value \\ median = 298[/tex]
Answer:
The median is the middle number in a set of data when the data is arranged in ascending (this is more common) or descending order. If there are an even number of values in the data set, the median is the arithmetic mean of the two middle numbers. Thus, the median separates the lower and higher half of a data set.
Step-by-step explanation:
ascending order : 187, 199, 211, 250, 298, 331, 347, 362
answer: 250, 298 .
Josh makes a $1500, 5% simple interest personal loan to his friend Sean for a period of 8 years. When Sean settles his loan at the end of the 8 years, how much money, in total, must he pay Josh? The formula for simple interest is I = prt.
Answer:
$2100
Step-by-step explanation:
I = prt
I = $1500(0.05)(8)
I = $1500(0.4)
I = $600
$1500 + $600
= $2100
Find the value of x in the isosceles triangle shown below.
USING PYTHAGORAS THEORAM,
x²+3²= 5²
x²+9= 25
x²= 25-9 = 16
x= √16
x= 4
OPTION D
A. 1/3=0.33
B. 1/6=0.17
C. 1/10=0.10
D. 1/4=0.25
The angles (x-10) degrees and 190 - X degrees are
Answer:
HEYA FRIEND
X-10+190-X
= 180
SO THEY ARE SUPPLEMENTARY ANGLES
i need the answer ill mark brainliest
Answer:
Choice D
Step-by-step explanation:
slope = 1
y = intercept = 4
y = |x| + 4
y = x + 4
What is the product?
(-2d^2+s)(5d^2-6s)
The answer is −10d4+17d2s−6s2
X+3y=6 2x+8y=-12 Solve silmatenous equations
Answer:
[tex]x + 3y = 6 - - - (a) \\ 2x + 8y = - 12 - - - (b) \\ 2 \times (a) - (b) : \\ 0x - 2y = 24 \\ y = 12 \\ x + (3 \times - 12) = 6 \\ x = 42 \\ { \boxed{x = 42}} \\ { \boxed{y = 12}}[/tex]
Find the value of x.
Answer:
Step-by-step explanation:
This is a right triangle; so you can use the Pythagorean Theorem ([tex]a^2 + b^2 = c^2[/tex]), where a and b are the lengths of the legs and c is the hypotenuse.
You get: [tex]5^2 + 12^2 = c^2[/tex]
Simplify the expression: [tex]25 + 144 = c^2[/tex]
Combine like terms: [tex]169 = c^2[/tex]
Take the square root of both sides: [tex]\sqrt{169} = \sqrt{c^2}[/tex]
Evaluate: 13 = c
So the answer is letter c ... x = 13
simplify
−3.2(2x − 2.1)
the mean of three number is 15. if 2 of the numbers are 18 and 16 what is the third number
Answer:
11
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
let the third number be x , then
[tex]\frac{18+16+x}{3}[/tex] = 15 ( multiply both sides by 3 to clear the fraction )
34 + x = 45 ( subtract 34 from both sides )
x = 11 ← third number
I need help with this I’m almost done
A car collection has ¼ black cars, ⅝ red cars ond 7 white cars. Draw model of the car collection?
answer below.
mark me brainlist
Answer:
Step-by-step explanation: Let the total no of cars in the collection be X
Number of black cars = (1/4)X
Number of red cars = (5/8)X
Number of white cars= 7
Summation of all the cars,
(1/4)X + (5/8)X + 7 = X
X= 56
Therefore,
Number of black cars = (1/4) of 56 = 14
Number of red cars = (5/8) of 56 = 35
Number of white cars = 7
Subtract the
rational
7 - 12
Answer:
-5
Step-by-step explanation:
12-7=5
7-12=-5
If this helps please mark as brainliest
Arithmetic
7-12
Meaning, 12 less than 7.
7-12=-5
What single decimal multiplier would you use to increase by 5% followed by a 20% increase?
Answer:
The desired single multiplier is 1.26.
Step-by-step explanation:
A 5% increase results in the original amount PLUS 5% of the original amount:
1.05(original amount)
If a 20% increase follows, we must multiply the above 1.05(original amount) by 1.20:
1.20(1.05)(original amount), or (after multiplying), 1.26.
The desired single multiplier is 1.26.
Which of the following show the Associative Property of Addition? 3(6 + 10) = 3 • 6 + 3 • 10 3 – (6 + 10) = (3 – 6) + 10 3 • (6 • 10) = (3 • 6) • 10 3 + (6 + 10) = (3 + 6) + 10
Answer:
The answer is 47
Step-by-step explanation:
Daisy's mom is 4 times as old as she.The sum of their ages 6 years ago was 28.How is her mother now?
Answer:
32
Step-by-step explanation:
Daisy's mom is 4 times as old as she.
m = 4d
The sum of their ages 6 years ago was 28.
(m - 6) + (d - 6) = 28
Substitute for m = 4d
(4d - 6) + (d - 6) = 28
Combine like terms
5d - 12 = 28
5d = 40
Divide by 5
d = 8
m = 4d
m = 4 * 8
m = 32
100 points and reward brainliest!
(28-b)xb=187
b = ?
Answer:
[tex]b=11, b=17[/tex]
Step-by-step explanation:
To get rid of the parenthesis, distribute:
[tex]b(28-b)=187,\\28b-b^2=187[/tex]
Move all terms to one side and factor:
[tex]b^2-28b+187=0,\\(b-11)(b-17)=0,\\\begin{cases}b-11=0,b=\boxed{11}\\b-17=0,b=\boxed{17}\end{cases}[/tex]
Answer:
b = 11, 17
Step-by-step explanation:
=> (28 - b) × b = 187
=> 28b - b² = 187
subtracting 187 from both sides=> 28b - b² - 187 = 0
dividing the equation by (-1) and rearranging=> b² - 28b + 187 = 0
breaking -28b into 2 variables such that the variable multiply to form 187b²=> b² - 11b- 17b + 187 = 0
{as (-11b)×(-17b) = 187b² and (-11b)+ (-17b) = -28b }
=> b (b - 11) - 17(b - 11) = 0
=> (b- 11)(b - 17) = 0
either(b - 11) = 0
=> b = 11
or(b - 17) = 0
=> b = 17
therfore,
b = 11, 17A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline?
A. 33 miles
B. 83 miles
C. 120 miles
D. 270 miles
Answer:
270
Step-by-step explanation:
you would do 18x15
(50 points) A diameter of a circle has endpoints P(-10, -2) and Q(4,6)
A. Find the center of the circle
B. Find the radius. if your answer is not an integer, express it in radical form.
C. Write an equation for the circle
Answer:
Step-by-step explanation:
The center of the circle is the midpoint of the two end points of the diameter.
Formula
Center = (x2 + x1)/2 , (y2 + y1)/2
Givens
x2 = 4
x1 = - 10
y2 = 6
y1 = - 2
Solution
Center = (4 - 10)/2, (6 - 2)/2
Center = -6/2 , 4/2
Center = - 3 , 2
So far what you have is
(x+3)^2 + (y - 2)^2 = r^2
Now you have to find the radius.
You can use either of the endpoints to find the radius.
find the distance from (4,6) to (-3,2)
r^2 = ( (x2 - x1)^2 + (y2 - y1)^2 )
x2 = 4
x1 = -3
y2 = 6
y1 = 2
r^2 = ( (4 - -3)^2 + (6 - 2)^2 )
r^2 = ( (7)^2 + 4^2)
r^2 = ( 49 + 16)
r^2 = 65
Ultimate formula is
(x+3)^2 + (y - 2)^2 = 65
The radius is √65 = 8.06
A teacher writes the following product on the board:
(5x + 2)(x + 4) = 5x^2 +22x +8
Palesa says that 5x^2 +22x + 8 is a factor of 5x +2.
Nune says that 5x+ 2 is divisible by 5x^2 +22x +8.
Who is correct?
-7 2/3 + ( -5 1/2 ) + 8 3/4 =
please help fast :)
Answer:
-4/5/12
Step-by-step explanation:
-7/2/3 + (-5/1/2) + 8/3/4
-13/1/6 + 8/3/4
-4/5/12
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
-7/45
-4/15+1/9 (two negatives make a plus or addition)
least common multiple of 15 and 9 = 45
45 is the denominator
15*3=45 , 9*5 = 45
-4*3 = -12 ,1*5 = 5
-12+5 = -7/45
Answer:
-7/45
Step-by-step explanation:
find lowest common denominator: 45 (9 x 5 = 45, 15 x 3 = 45)
[tex]-\frac{4}{15} = \frac{(4*3)}{(15*3)} =-12/45\\\\\frac{1}{9}=\frac{(1*5)}{(9*5)} =5/45[/tex]
subtracting a negative = addition
[tex]-\frac{12}{45} +\frac{5}{45}\\\\=\frac{-12+5}{45} \\\\=-\frac{7}{45}[/tex]
18) What is the DIAMETER of the circle below? *
12.4mm
Answer:
A≈1075.21
d Diameter
37
d
r
r
r
d
d
C
A
Using the formulas
A=
π
r
2
d=
2
r
Solving forA
A=
1
4
π
d
2
=
1
4
π
37
2
≈
1075.21009
Step-by-step explanation:
What is The answer , what goes in the QR
may be QR also equal to 34
How does T. S. Eliot in "The Waste Land" differ in his interpretation of subject
matter from Geoffrey Chaucer in The Canterbury Tales?
A. He turns Galatea into a real woman. 0
B. He changes the medium to live theatre. 0
C. He writes in a completely different genre.
0
D. He portrays April huch more negatively.
Answer:
Step-by-step explanation: D: he portrays april much more negatively.
T. S. Eliot in "The Waste Land" differ in his interpretation of the subject matter from Geoffrey Chaucer in The Canterbury Tales as He portrays April much more negatively. Thus, option D is correct.
What is a Waste Land?The Waste Land emphasizes the moral, cultural, and social deterioration of contemporary society brought on by the commercializing of life and the availability of everything for purchase. Even in the area of love, there is an issue of gain and loss. People no longer have moral principles or beliefs.
Eliot describes a world of desolate panoramas, despair, and spiritual emptiness in his writings, giving readers a somber impression of the earth and those who live there. He also argues that those who live in this world are destined to suffer since they are powerless to change their circumstances.
Therefore, option D is the correct option.
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Solve for x
1 point
х
6
8
O
6
8
O 10
Answer:
x = 10
Step-by-step explanation:
[tex]a^{2} +b^2=c^2[/tex]
[tex]6^{2} +8^2=c^2[/tex]
[tex]36+64=100[/tex]
[tex]\sqrt{100}[/tex] = 10
Work out the size of angle X
Suppose that the monthly salary can be modeled by the function p(x) = 20,000 + 50x. In the formula, 20,000 represents the base salary, and the person gets an additional $50 for every sale. The variable x represents the number of sales. How many items does the salesperson need to sell to earn $30,000?
Answer:
$50 is the earned for every sales
$30000 is earned for 30000/50=600
He has to made 600 sales to earn 30000