Answer:
61
Step-by-step explanation:
to calculate the 20th term you use the formula
Tn=a+(n-1)d where a stands for the first term,n the number of terms and d the common difference.in this case the first term is 4 the common difference is 3 cause they were adding 3 to go to the next term.. therefore the solution will be:
Tn=4+(20-1)3
=4+19×3
=4+57
=61
the 20th term is 61
I hope this helps
factorise X^2 + 4xy - 4y^2- 9z^2
Answer:
Step 1: Equation at the end of step 1
(((x^{2} )-4xy)+(4(((x
2
)−4xy)+(4 ×(y^{2} )))-3^{2} -z^{2}(y
2
)))−3
2
−z
2
Step 2: Equation at the end of step 2
(((x^{2} )-4xy)+2^{2} y^{2} )-3^{2} z^{2}(((x
2
)−4xy)+2
2
y
2
)−3
2
z
2
Step 3: Final Result
x^{2} -4xy+4y^{2} -9z^{2}x
2
−4xy+4y
2
−9z
2
Simplify
1/4(1 - 2/3)* + 1/3
Enter your answer in the box as a fraction in simplest form
Answer:
5/12
frsjnjjuvvffklomjyyrx
what is the sum of 1.3 and 5.07
Answer:
The asnwer is 6.37 y
Step-by-step explanation:
You have to add them sum means addition
I hope this helps
If the geometric mean of a and 120 is 60, find the value of a.
Answer:
The answer is option 4.
Step-by-step explanation:
Given that the mean formula is total score/number of score. So we can assume that total score is (a+120), number of score is 2 and the mean value is 60. Then you have to find the value of a :
[tex] \frac{a + 120}{2} = 60[/tex]
[tex]a + 120 = 60 \times 2[/tex]
[tex]a + 120 = 120[/tex]
[tex]a = 120 - 120[/tex]
[tex]a = 0[/tex]
[tex] \text{ Geometric mean of two numbers } a \text{ and } b , \text{ where } a,b>0 \text{ is given by } G= \sqrt{ab}[/tex]
[tex] \sqrt{a\cdot120}=60 [/tex]
[tex] \implies 60 \cdot 2 \cdot a=60\cdot 60 \qquad \text{Squaring both sides} [/tex]
[tex] \implies a =30 [/tex]
Which of the following is the graph of f(x) = x2 + 3x − 4? graph of a quadratic function with a minimum at 2, negative 9 and x intercepts at negative 1 and 5 graph of a quadratic function with a minimum at 3, negative 4 and x intercepts at 1 and 5 graph of a quadratic function with a minimum at 2.5, negative 2.4 and x intercepts at 1 and 4 graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4
Answer:
x intercepts at -4 and 1,
with a minimum at (-1.5, -6.25)
Step-by-step explanation:
(x + 4)(x - 1) = 0
x = -4, 1
min = -b/2a = -3/2(1) = x = -1.5
y = (-1.5)² + 3(-1.5) - 4 = -6.25
Answer:
graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4
Step-by-step explanation:
The graph shows the minimum is (-1.5, -6.25) and the x-intercepts are a -4 and 1. This matches the last description.
__
The x-coordinates of the offered minima are all different, so it is sufficient to know that the axis of symmetry is the line ...
x = -b/(2a) = -3/(2(1)) = -1.5 . . . . . . . for quadratic f(x) = ax² +bx +c
This is the x-coordinate of the minimum.
What is a rule for the height
as an algebraic expression?
Answer: lenght x widthx height
Step-by-step explanation:
Calvin has 80 meters of fencing to enclose his rectangular garden. He wants the garden’s length to be 12 meters greater then its width. Find the length and width of the garden.
a) 12m x 28m
b) 14m x 26m
c) 12m x 24m
d) 18m x 22m
Pls help!
Answer:
a
Step-by-step explanation:
a because when you divide 80 by 12 you get 28, so then it is 12 x 28m. :/
Answer:
Width W = 14 m
Length L = 26 m
Step-by-step explanation:
Perimeter of a rectangle = 80 m = 2L + 2W
L = 12 + W
80 = 2L + 2W
80 = 2(12 + W) + 2W
80 = 24 + 2W + 2W
80 - 24 = 4W
56 = 4W
W = 56 / 4
W = 14 m
L = 12 + W
L = 12 + 14
L = 26 m
check:
80 = 2L + 2W
80 = 2(26) + 2(14)
80 = 52 + 28
80 = 80 ---- OK
The question is "find the lowest common multiple of 4 and 6"
with step by step explaination
Answer:
12
Step-by-step explanation:
4s multiples:
4,8,12,16,20,24
6s multiples:
6,12,18,24,30,36
lowest number that is a common multiple between both 4 and 6:
12
Answer: 2
Step-by-step explanation:
Find the degree of the monomial.
s8t
The degree is
Answer:
Step-by-step explanation:
the degree of 8^8t
16777216t : the degree of the mnonmial is 1, because the degree of the variable is 1
find to consecutivephone number such that five times the smaller number plus 3 times the greater number make 59 hint let the number be x and x + 1
Answer:
x = 7 is the answer for the smaller number
7 + 1 = 8 is the answer for the larger number
Step-by-step explanation:
LET x and x+1 be the two numbers here, as your hint suggests.
5x + 3(x+1) = 59
5x + 3x+3 = 59
8x = 59-3
8x = 56
/8 /8
--------------------------
x = 56/8 ---> x = 7
x = 7 is the answer for the smaller number
7 + 1 = 8 is the answer for the larger number
Check:
5 * 7 + 3 * 8 = 59
35 + 24 = 59
59 = 59 CORRECT
A rectangular solid and a cube are of equal volume. If the rectangular solid is 20 centimeters long, 5 centimeters wide, and 10 centimeters high, what is the length, in centimeters, of an edge of the cube?
Answer:
10 centimeters.
Step-by-step explanation:
First, we need to remember what's the formula to get the volume of a rectangular solid and a cube.
The volume of the first equals:
Volume = Length x Width x Height
While the volume of the cube is:
[tex]Volume = a^{3}[/tex] where a is the edge.
We are given the measures of the rectangular solid so we can calculate its volume:
[tex]Volume= (20)(5)(10)=1000[/tex] cubic cms.
Now, we know that both the volume of the rectangular solid and the cube are the same so we will use this information to calculate the edge of the cube.
[tex]1000=a^3 \\\sqrt[3]{1000} =\sqrt[3]{a^3} \\10=a[/tex]
Thus the length of an edge of the cube is 10 centimeters
Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
Answer:
y = 0.8x + 10
Step-by-step explanation:
From the given graph,
Graphed line passes through two points (0, 10) and (50, 50)
Let the equation of the given line is,
y = mx + b
Where m = slope of the line
b = y-intercept
Since slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{50-10}{50-0}[/tex]
m = [tex]\frac{4}{5}[/tex] = 0.8
y-intercept of the line 'b' = 10
Therefore, equation of the line of best fit will be,
y = 0.8x + 10
What is -3/4+2 3/4?
1.3 1/2
2.3 3/4
3.2/ 1/2
4. 2
Answer:
[tex]2[/tex]
4th Answer is Correct
Step-by-step explanation:
[tex] - \frac{3}{4} + 2 \frac{3}{4} \\ \frac{ - 3}{4} + \frac{11}{4} \\ \frac{ - 3 + 11}{4} \\ = \frac{8}{4} \\ = 2[/tex]
James is having a BBQ. Burgers come in packs of 12
and buns come in packs of 8. How many packs of each
will James need to buy so that he has no spares?
Answer:
2 packs of Burgers, 3 Packs of Buns
Answer:
He will need to buy 2 packs of burgers. And 3 packs of buns.
Step-by-step explanation:
The lowest common number that 12 and 8 Share is 24. 12×2=24 8×3=24
HELP ME PLEASE The student's in Roberto's school are painting a mural that will be 8 feet by 15 feet. First they make a scale drawing of the mural with a scale of 2 feet:5 feet. What are the length and width of the scale drawing in feet
Answer:
Length = 3.2feets ; width = 6feets
Step-by-step explanation:
Given the following :
Actual dimension of Mural:
8feets by 15feets
Scale drawing ratio of Mural :
2feets : 5feets
This means :
2 Feets on paper equals 5 Feets of actual drawing:
Therefore, with actual dimension of Length = 8feets ;
Length of scale drawing = (2/5) * 8 = 3.2feets
Actual dimension of width 15feets ;
Width of scale drawing = (2/5) * 15 = 6 Feets
Starting at the same spot on a circular track that is 80 meters in diameter, Hillary and Eugene run in opposite directions, at 300 meters per minute and 240 meters per minute, respectively. They run for 50 minutes. What distance separates Hillary and Eugene when they finish
Answer:
143.32 m
Step-by-step explanation:
Given the following :
Diameter of circular track = 80m
Hillary's speed = 300m per minute
Eugene's speed = 240m per minute
Run time = 50 minutes
Note: they both run in opposite direction.
Calculate the Circumference(C) of the circle :
C = 2πr or πd
Where r = radius ; d = diameter
Using C = πd
C = πd
C = π * 80
C = 251.327
Eugene's distance covered = (240 * 50) = 12000
Hillary's distance covered = (300 * 50) = 15000
Number turns :
Eugene = 12000/ 251.327 = 47.746561
Hillary = 15000/251.327 = 59.683201
Therefore ;
48 - 47.746561 = 0.253439
60 - 59.683201 = 0.316799
(0.253439+0.316799) = 0.570238
Distance which separates Eugene and Hillary when they finish :
0.570238 * 251.327 = 143.32 m
Please help me!!!!!
What are the answers
Answer:
y=3x
Step-by-step explanation:
The equation of the line is y=3x
Choose the correct equivalent expression using the GCF. 9+12
3(4+3)
4(3+4)
3+(3+4)
3(3+4)
PLEASE HELP
⇛3(3+4)
⇛9 + 12
pls help me with this question and reply answer
Step-by-step explanation:
From both the cases we can say that √n is either a natural number or an irrational number. Hence the correct option is (d)Either a natural number or an irrational number. Note: Before solving this type of question we should have proper knowledge of natural numbers, rational numbers and irrational numbers.
To make a vertical bar graph that shows the average miles per gallon of gas for five different models of car, what should the horizontal axis represent?
Consider the following data set with a mean of 12: 9, 11, 12, 16 Using the equation below or the standard deviation formula in Excel, calculate the standard deviation for this data set. Answer choices are rounded to the hundredths place. s equals square root of fraction numerator 1 over denominator n minus 1 end fraction sum from i equals 1 to n of open parentheses X subscript i minus X with bar on top close parentheses squared end root
Answer:
1.83
Step-by-step explanation:
The standard deviation of given data set rounded to the hundredth place is 2.55
Given data set is: 9, 11, 12, 16
The mean of the data set is 12.
The formula for standard deviation is written as:
[tex]\sigma = \sqrt{{\sum^\:n}_{i=1}{\dfrac{(x_i-\overline{x})^2}{n}}\\[/tex]
here n = 4 and x assumes 9, 11, 12 and 16 and mean is 12, thus putting values in the given formula,
[tex]\sigma = \sqrt{\dfrac{[(9-12)^2 + (11-12)^2 + (12-12)^2 + (16-12)^2]}{4}}\\\sigma = \sqrt{\dfrac{[3^2 + 1^2 + 4^2]}{4}}\\\sigma = \sqrt{\dfrac{26}{4}}\\\sigma = \sqrt{6.5}\\\sigma = 2.549..\\\sigma \approx 2.55[/tex]
Thus, standard deviation of given data set rounded to the hundredth place is 2.55
Learn more here:
https://brainly.com/question/12402189
raise s to the 7th power, then find the sum of the result and 3
Answer:
s^7 + 3
Step-by-step explanation:
Brainliest, please!
Two motor mechanics, Ravi and Raman, working together can overhaul a scooter in 6 hrs. Ravi alone can do the job in 12 hrs. In how many hrs.can Raman alone do it?
Answer:
12 hours
Step-by-step explanation:
For Ravi,
12 hours = 1 job
Given this, we can figure out how much Ravi does in 6 hours, and from that, we can figure out how much Raman can do in 6 hours. Finally, we can use that to figure out how many hours it would take for Raman to do the job.
12 hours = 1 job
First, to find how much Ravi does in 6 hours, we need to make the equation
6 hours = something
To do this, we know that 12/2 = 6, so we can divide both sides by 2 in the original equation to get
6 hours = 1/2 job.
Therefore, in 6 hours, Ravi does 1/2 of the job. As Raman and Ravi do the job in 6 hours, Raman must do the remaining work, or 1-1/2 = 1/2 of the job in 6 hours.
Therefore, for Raman,
6 hours = 1/2 job
We need to make the equation so that
1 job = something, as that something would be how many hours it would take for Raman to do the job. We know that 1/2 * 2 = 1, so we can multiply both sides by 2 to get
12 hours = 1 job for Raman.
A student estimated the sum 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815 as: All the numbers begin with a 7 or 8, so use cluster estimation. 8 + 8 + 80 + 8 + 80 + 0.8 = 184.8
Answer: this not correct ,because in the expression it is not clear , the numbers are neither exactly rounded to nearest tens or tenths.
Step-by-step explanation:
Our total add is
= 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815
When we spherical it up to nearest tens
7.95 = 8.00
8.11 = 8.00
78.5 = 79
8.05 = 8.00
79.4 = 79.0
0.815 = 1
when we estimate the rational numbers with an extra operation once done,our results is
= eight + eight + eighty + eight + eighty + zero.8 = 184.8, isn't correct ,because within the expression it's not clear , the numbers area unit neither precisely rounded to nearest tens or tenths.
for example ,79.4 once rounded to nearest tens = seventy nine,but within the expression eighty (80) is written,which isn't correct.
Similarly,when rounded to nearest tens, 0.815 = 1, however within the expression 0.8 is written,which is wrong.
Similarly,when rounded to nearest tens ,78.5 = 79 , however within the expression eighty ( 80 ), is written,which is wrong
In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.
A straight line is shown and is marked with three angles. The first angle measures 50 degrees. The second angle measures 60 degrees. The third angle is labeled x. The line between the 40 degree angle and angle x extends below the straight line. The angle formed is labeled angle y.
Write and solve an equation to determine the measure of angle y.
Answer: The answer is B
Step-by-step explanation:
What is the radius of a sphere with a surface area of 100πcm2?
Answer:
5cm
Step-by-step explanation:
A=4πr2 = 100πcm2
r = 5
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5
Answer:
either it's 1:3 or 1:6
Step-by-step explanation:
3 students went to the zoo, and 15 students went to the aquarium.
15 plus 3 is 18.
3/18 then reduces to 1/6
therefore it is:
1:6
(before, I got my answer deleted so, maybe it is 1:3, but I solved it and got 1:6)
A book store is selling 4 books for $10 as parr of its clearance sale.Regina has $28 to spend.At this rate regina can purchase how many books?
Answer: 8 books (She will also keep with her a balance of $8)
Step-by-step explanation:
Total amount of money = $28
Cost of 4 books = $10
Sets of books able to be bought with the money = 28/10
= 2 (Reminder will be 8)
Amount of books able to be bought with the money = 2 × 4
= 8 books
Regina can purchase 11 books when she has $28 to spend.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
A bookstore is selling 4 books for $10 as part of its clearance sale. Regina has $28 to spend.
Let's represent the number of books Regina can purchase x.
The total price for x books at the clearance rate is 10/4x = $2.5x
Since Regina has 28 dollars to spend, she can purchase :
⇒ x = 28/2.5
Apply the division operation, and we get
⇒ x = 11.2 books.
Therefore, she can purchase 11 books.
To learn more about the division operation click here :
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Which greatest digit should replace m so that the number 10m6415 is divisible by 11
Answer:
Step-by-step explanation:
Sum of digits of rank even - sum of digits of rank odd must be a multiple of 11
(5+4+m+1)-(1+6+0)=11*k
10+m-7=11*k
3+m=11*k
m=8
Proof: 1086415/11=98765
my age is 13 and i was born in 2006 and my brother was born in 2004 how old he.is