Answer:
See belowStep-by-step explanation:
Let x or y be the variable in each case.
1. Twice the product of the numbers ... x and y (just a guess, its incomplete):
2xy2. Seven less than a number:
x - 73. The sum of three consecutive numbers:
x + (x + 1) + (x + 2)4. The sum of two consecutive even numbers is 42:
2x + 2x + 2 = 425. The sum of a number and 5 times its reciprocal:
x + 5*(1/5)6. Four more than twice a number:
4 + 2x7. The square of a number increase by five:
x² + 58. The sum of two numbers is equal to four more than their difference:
x + y = 4 + (x - y)9. Rian's age four years from now:
x + 410. Clara's age 10 year from now:
x + 10Step-by-step explanation:
1. Let, Number = x
2x
2. Let, Number = x
x - 7
3. Let,
Consecutive numbers = x, x + 1 and x + 2
x + x + 1 + x + 2
3x + 3
4. Let,
Consecutive numbers = a and a + 2
a + a + 2 = 42
2a + 2 = 42
5. Let, Number = x
Reciprocal = 1/x
x + 5/x
6. Let, Number = y
2y + 4
7. Let, Number = y
(x + 8)²
x² + 16x + 64
8. Let,
First number = x
Second number = y
x + y = 4 + (x - y)
9. Let,
Rian's age = y
y + 4
10. Let,
Clara's age = y
y + 10
Which of these is opposed by kinetic friction?
Select one:
a.
a cat standing in a yard
b.
a book sitting on a table
c.
a box sliding on a floor
d.
a child leaning on a building
Answer: c
Step-by-step explanation:
Answer: C
Step-by-step explanation:
It is your birthday and you are going to get a new cellphone. The day you buy the phone, you will have to pay the $49 interest fee and a $200 down payment. The remaining balance of the phone will be paid off in 24 equal payments. The total bill is $980, including the interest fee and down payment. Write an equation to solve for p, the required monthly payments
Answer:
$30.46
Step-by-step explanation:
Total payment = down payment + interest fee + 24 equal payments
980 = 200 + 49 + 24 equal payments
24 equal payments = 24 * p, as we add p 24 times
980 = 249 + 24p
subtract 249 from both sides to isolate p and its coefficient
731 = 24p
divide both sides by 24 to isolate p
p = 30.46
What is the slope of a line that is parallel to the line y = 3/4x + 2?
Answer:
E
Step-by-step explanation:
1+2+2+1
❗100 POINTS ❗
FOR a correct explanation of why this ain't right
I'm forced to do this 4 sb and I fr dk what HOW THIS ISNT CORRECT?!
pls help
thx
Factors of 36 are the list of integers that we can split evenly into 36. There are overall 9 factors of 36 among which 36 is the biggest factor and its positive factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The Pair Factors of 36 are (1, 36), (2, 18), (3, 12), (4, 9) and (6, 6) and its Prime Factors are 1, 2, 3, 4, 6, 9, 12, 18, 36.
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18 and 36
Negative Factors of 36: -1, -2, -3, -4, -6, -9, -12, -18 and -36
Prime Factors of 36: 2, 3
Prime Factorization of 36: 2 × 2 × 3 × 3 = 22 × 32
Sum of Factors of 36: 91
Factors of a number are the numbers that divide the given number exactly without any remainder. According to the definition of factors, factors of 36 are those numbers that exactly divide 36 leaving no remainder. In other words, we can say if two numbers are multiplied and the product is 36, then the numbers are factors of 36.
Let us do a hit and trial method to find factors of 36.
Divide 36 ÷ 2 = 18
Quotient = 18, remainder = 0
Now multiply 18 × 2 = 36
Hence, 18 and 2 are the factors of 18.
36 is a composite number as it has factors other than 1 and itself.
We can use different methods like the divisibility test, prime factorization, and the upside-down division method to calculate the factors of 36.
The most common method we use to find factors is the prime factorization method.
In prime factorization, we express 36 as a product of its prime factors.
In the division method, we see which numbers divide 36 exactly without a remainder.
Let us calculate factors of 36 using the following two methods:
Factors of 36 by prime factorization factor tree method
Factors of 36 by upside-down division method
Prime Factorization of 36 by Upside-Down Division Method
Now as discussed above, in the prime factorization method we show factors of 36 as a product of prime factors of 36. Follow the steps to find the prime factors of 36 by the prime factorization method.
With the help of divisibility rules, find out the smallest factor of the given number. Here, 36 is an even number. So it is clearly divisible by 2. In other words, 2 divides 36 with no remainder. Therefore, 2 is the smallest prime factor of 36.
36 ÷ 2 = 18. Now find the prime factors of the obtained quotient. Repeat Step 1 and Step 2 till we get a prime number as the quotient. Here, 18 is the quotient.
18 ÷ 2 = 9. Here, 9 is the quotient. Now find the prime factors of the 9.
9 ÷ 3 = 3. Here 3 is the prime number. So we can stop the process.
Prime factorization of 36 using upside-down division method is 2 × 2 × 3 × 3 = 2² × 3².
Prime Factorization of 36 by Factor Tree Method
The factor tree method is another visualization method to represent factors of 36. It also helps in determining prime factors of 36. A factor tree is not unique for a given number. Instead of expressing 36 as 2 × 18, we can express 36 as 6 × 6.
Prime factorization of 36 using factor tree method is 2 × 2 × 3 × 3 = 2² × 3².
Explore factors using illustrations and interactive examples
Factors of 33: The factors of 33 are 1, 3, 11, and 33.
Factors of 34: The factors of 34 are 1, 2, 17, and 34.
Factors of 38: The factors of 38 are 1, 2, 19, and 38.
Factors of 30: The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
Factors of 360: The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.
Factors of 35: The factors of 35 are 1, 5, 7, and 35.
Factors of 37: The factors of 37 are 1 and 37.
Factors of 36 in Pairs
Factor pairs are the two numbers that, when multiplied, give the number 36. Find all of the factors of the number 36 using the steps below:
Step I: Start with 1 and the number itself.
Step II: Count up by ones to see if you can multiply two numbers together to get your target number.
Step III: Stop when you can’t get any more numbers in between.
Step IV: Connect the factor pairs.
Factor pairs of 36 are given below:
36 = 1 × 36
36 = 4 × 9
36 = 6 × 6
36 =12 × 3
36 = 18 × 2
Let us club the numbers in pairs.
The factors of 36 in pairs are (1, 36), (4, 9), (6, 6), (12, 3), and (18, 2).
There are a total of 5 pairs of factors of 36.
We can have negative factors also for a given number.
Since the product of two negative numbers is positive [(-) × (-) = +].
The negative pair factors of 36 are (-1, -36), (-4, -9), (-6, -6), (-12, -3), and (-18, -2)
There are a total of 5 negative pairs of factors of 36.
Important Notes:
36 is a composite number as it has factors other than 1 and itself.
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Pair factors of 36 are (1, 36), (4, 9), (6, 6), (12, 3), and (18, 2).
1 is a factor of every number.
Prime factorization of 36 is 2 × 2 × 3 × 3 = 2² × 3².
Challenging Questions:
Find the factors of 3600 with the help of techniques used in finding factors of 36.
Prove that the factor of a number is always less than or equal to the number itself?
[tex]dx x-2secx[/tex]
Answer:
x + 2tan X . sec X / X
Step-by-step explanation:
The derivatives of trigonometric functions is as follows
* d/dx (sin x) = cos x
* d/dx (cos x) = - sin X
* d/dx (tan x) = sec ^2 X
* d/dx (Cot x) = -cosec^2 X
* d/dx (sec x) = tan x . sec x
* d/dx (cosec x) = -cot x . cosec x
and so the derivative of sec is tanx . sec x
d/dx x - sec x
the derivative of variables is considered 1.
since we remove 1 from their exponent they'll have 0 as their exponent which can only mean the end value is 1.
so d/dx of X is = 1
d/dx od -sec X is = -tan X . Sec X based on the general derivative properties above.
in conclusion the final answer is = x + 2tan X . sec X / X
Help me I need the math problem
Answer:
y=4x-3
Step-by-step explanation:
Answer:
DO i care... no ask your dam teacher won der why u aint pass
Step-by-step explanation:
20 giraffes were introduced to a certain safari and it is expected to double its population every 5 years. How many giraffes will exist after 2 years? How long it would take to increase their population to 60?
It would take 7.9 years to increase their population to 60.
An exponential function is in the form:
y = abˣ
where a is the initial value of y and b is the multiplier.
Let y represent the number of giraffes after x years.
From the question:
a = 20, b = 2, hence
[tex]y=20(2)^\frac{x}{5} \\\\for\ x=2:\\\\y=20(2)^\frac{2}{5} =26\\\\For\ y=60:\\\\60=20(2)^\frac{x}{5} \\\\2^\frac{x}{5} =3\\\\x=7.9\ years[/tex]
It would take 7.9 years to increase their population to 60.
Find out more on exponential function at: https://brainly.com/question/2456547
What is the equation in standard form of the line y= 1/9x +5
Answer:
answer below
Step-by-step explanation:
9(y = 1/9x + 5)
9y = x + 45
-x + 9y = 45
x - 9y = -45
Work out m and c for the line: y = 8 − x
m=-1 and c=8 for the line y = 8 − x
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given equation is y = 8 − x
This equation we can write in the form of slope intercept form
y=-x+8
y=(-1)x+8
Now compare the above equation with slope intercept form
m=-1 and c=8
Hence, m=-1 and c=8 for the line y = 8 − x
To learn more on slope intercept form click:
https://brainly.com/question/9682526
#SPJ2
Use the distributive property to write an experssion that is equalent to 7(3x-4)
Answer:
21x-28
Step-by-step explanation:
the distributive property states that a(bx+c) is equal to abx+ac. in this expression, a is 7, b is 3, and c is negative 4. ab is 7*3, which is 21, so abx is 21x. ac is 7*-4, which is -28. combining these two results in 21x-28.
Answer:
21x-28
Step-by-step explanation:
distribute the 7 to the 3x & the -4
you get 21x-28
7 cm
rom
This quarter circle has a radius of 7 centimeters.
What is the area of this figure?
Use 3.14 for pi.
Enter your answer as a decimal in the box. Round your answer
to the nearest hundredth
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Area of quarter = 1/4 × Area of whole circle
that is ~
[tex] \sf \dfrac{1}{4} \times \pi {r}^{2} [/tex][tex] \sf \dfrac{1}{4} \times 3.14 \times 7 \times 7[/tex][tex] \sf \dfrac{153.86}{4} [/tex][tex] \sf \approx38.46 \: \: cm {}^{2} [/tex]
Can someone please explain step by step on how I get my answer of [30% of 15?]
Answer: 4.5
Step-by-step explanation:
30% is equal to 30/100, which is 0.3
If you times 0.3 by 15, you will get 30% of 15
Therefore the answer would be 0.3 x 15 = 4.5
Which ones colder?
-5 degrees Celsius or
-10 degrees Celsius
Answer:
-10 degrees Celsius
Step-by-step explanation:
The more negative a temperature in degrees Celsius is, the colder it is.
Ashleigh went to Cape Canaveral to watch the space shuttle take off. The solid rocket boosters are ejected after the shuttle passes through the threshold of space. This is scheduled to occur when the shuttle reaches a height of 354,200 feet. If Ashleigh is 10 miles from the launchpad, what will be the angle of elevation she has to look up to see the boosters ejected?
Define the following sequence recursively:
4, 15, 26, 37, ...
Answer:
a) f(n) = 11 + f(n - 1)
Step-by-step explanation:
f(2) = 11 + 4 = 15
f(3) = 11 + 15 = 26
f(4) = 11 + 26 = 37
f(5) = 11 + 37 = 48
find the following integrals. need help plssss
Answer:
1) -15/4
2) -15/2
Step-by-step explanation:
1) Let u=4t. Then the limits become u=4(0)=0 and u=4(4)=16. Also du=4 dt upon differentiating the equation.
So the integral can be written as
Integral( 1/4 f(u) , u=0 to u=16)
We are given Integral( f(u) , u=0 to u=16) is -15. So a fourth of that is our answer for the first question.
2) Let u=t^2. Then the limits become u=(0)^2=0 and u=(4)^2=16. Also upon differentiating we obtain equation du =2 t dt.
So the integral becomes
Integral( 1/2 f(u) , u=0 to u=16).
We are given Integral( f(u) , u=0 to u=16) is -15. So a half of that is our answer for the second question.
URGENT PLEASE HELP simplify (3^8 / 3^5)^3
A boat is heading towards a lighthouse, whose beacon-light is 134 feet above the
water. From point A, the boat's crew measures the angle of elevation to the beacon,
16°, before they draw closer. They measure the angle of elevation a second time from
point B at some later time to be 21°. Find the distance from point A to point B.
Round your answer to the nearest foot if necessary.
this may help you very much
WILL GIVE BRAINLIEST
Answer:
it is d
Step-by-step explanation:
48 is what percent of 12
Answer:
48 is 25% of 12
Step-by-step explanation:
Graph the following features: Y-intercept = 1 Slope 3/2
I need help ASAPPP this is very important
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Let S1= 1, S2=2+3, S3= 4+5+6
Find S7
Find S17
Find Sn
Answer:
S7 = 175S17 = 2465Sn = 1/2(n³ +n)Step-by-step explanation:
The progression of sums is ...
1, 5, 15, 34, 65, ...
So, first differences are ...
4, 10, 19, 31
Second differences are ...
6, 9, 12, ...
Third differences are constant:
3, 3, ...
This means the expression for Sn will be a cubic expression. If dn is the first of the n-th differences, then the equation can be written as ...
Sn = S1 +(n -1)(d1 +(n -2)/2(d2 +(n -3)/3(d3)))
And this simplifies a little bit to ...
Sn = 1 +(n -1)(4 +(n -2)(n +3)/2)
In simpler form, we have ...
Sn = 1/2(n³ +n)
Then the two terms we're interested in are ...
S7 = (1/2)(7³ +7) = 175
S17 = (1/2)(17³ +17) = 2465
Each term Sₙ consists of the sum of a triangular number of terms, which are given by
[tex]T_n = \displaystyle \sum_{k=1}^n k = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]
The triangular numbers are given recursively for n ≥ 1 by
[tex]T_n = T_{n-1} + n[/tex]
starting with T₀ = 0.
For example,
• S₁ = 1 and
[tex]\displaystyle S_1 = \sum_{k=T_0+1}^{T_1} k = \sum_{k=1}^1 k = 1[/tex]
• S₂ = 2 + 3 and
[tex]\displaystyle S_2 = \sum_{k=T_1+1}^{T_2} k = \sum_{k=2}^3 k = 2 + 3[/tex]
• S₃ = 4 + 5 + 6 and
[tex]\displaystyle S_3 = \sum_{k=T_2+1}^{T_3} k = \sum_{k=4}^6 k = 4 + 5 + 6[/tex]
Then the n-th term of the sequence we're considering is
[tex]S_n = \displaystyle \sum_{k=T_{n-1}+1}^{T_n} k = \sum_{k=T_{n-1}+1}^{T_{n-1}+n} k[/tex]
Expanding this sum, we have
[tex]S_n = \left(T_{n-1}+1\right) + \left(T_{n-1}+2\right) + \left(T_{n-1}+3\right) + \cdots + \left(T_{n-1}+n\right)[/tex]
There are n terms on the right side, and hence n copies of [tex]T_{n-1}[/tex], and the rest of the terms make up the next triangular number [tex]T_n[/tex] :
[tex]S_n = nT_{n-1} + 1 + 2 + 3 + \cdots + n[/tex]
[tex]S_n = nT_{n-1} + \displaystyle \sum_{k=1}^n k[/tex]
[tex]S_n = nT_{n-1} + T_n[/tex]
We have a closed form for [tex]T_n[/tex], so we end up with
[tex]S_n = n \cdot \dfrac{(n-1)n}2 + \dfrac{n(n+1)}2 \implies \boxed{S_n=\dfrac{n^3+n}2}[/tex]
From here it's easy to find S₇ and S₁₇.
[tex]S_7 = \dfrac{7^3+7}2 \implies \boxed{S_7 = 175}[/tex]
[tex]S_{17} = \dfrac{17^3+17}2 \implies \boxed{S_{17} = 2465}[/tex]
A cafeteria sells 30 drinks every 15 minutes. How many drinks can be sold in one hour?
Answer:30 drinks
Step-by-step explanation:
78300 rounded to the nearest hundred HELP 100 POINTS
A 78346
B78273
C78251
D78389
E78249
Answer:
Its 78,300
Step-by-step explanation:
QUESTION 15 PLEASE HELP ME ASAPP
Answer:
The line shifted up 8 units
Step-by-step explanation:
The ratio of men to women working for a company is to 8 to 5 . If there are employees total 208 , how many women work for the company?
Answer:
130
ratio of woman to man is : 5/8
5/8×208=130
Answer:
130 women
Step-by-step explanation:
3 men to 5 women:
We can add the variable x:
3x + 5x = 208
8x = 208
x = 26
3 * 26 = 78 men,
5 * 26 = 130 women.
There are 9 new books and 5 used books. What is the ratio of all the books on the shelf to the new books
Answer:
14 to 5
Step-by-step explanation:
9 + 5 = 14(total books)
new books = 5
so ratio of total books to new books is 14 to 5
How many types of windows does Python use? Correct answer will get brainliest.
a.
four
b.
five
c.
one
d.
two
Answer:
A. 4
Step-by-step explanation:
i guess it A. 4 i dunno
Four types
Explanation:-The python supported windows starts form windows 7 (32bit)All types of python windows are
Windows 7Windows 8Windows 10Windows 11License plates in a particular state display 3 letters followed by 3 numbers. How many different license plates can be manufactured? (Repetitions are allowed.)
Using the fundamental counting theorem, it is found that 17,576,000 different license plates can be manufactured.
Fundamental counting theorem:
States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
Since repetition is allowed, for the 3 letters, there are 26 outcomes, hence [tex]n_1 = n_2 = n_3 = 26[/tex].For the 3 numbers, there are 10 outcomes, hence [tex]n_4 = n_5 = n_6 = 10[/tex]Then:
[tex]N = 26^3 \times 10^3 = 17576000[/tex]
17,576,000 different license plates can be manufactured.
To learn more about the fundamental counting theorem, you can take a look at https://brainly.com/question/24314866