Answer:
1) 1
2) (2,3)
3) x⁴
Step-by-step explanation:
1)
We have the expression:
[tex]7x+1[/tex]
The degree of an equation is the largest exponent of the equation.
We can rewrite our expression as:
[tex]=7x^1+1x^0[/tex]
1 is the largest exponent.
Thus, our degree is 1.
2)
We have the system of equations:
[tex]x+y=5\\3x-y=3[/tex]
To solve, we can use substitution.
From the first equation, subtract x from both sides:
[tex]y=5-x[/tex]
Substitute this into the second equation:
[tex]3x-(5-x)=3[/tex]
Simplify:
[tex]3x-5+x=3[/tex]
Add 5 to both sides:
[tex]3x+x=8[/tex]
Combine like terms:
[tex]4x=8[/tex]
Divide both sides by 4:
[tex]x=2[/tex]
So, x is 2.
Substitute this back into the first equation:
[tex]x+y=5[/tex]
Substitute x for 2:
[tex]2+y=5[/tex]
Subtract 2 from both sides:
[tex]y=3[/tex]
Our solution is (2,3)
3)
We have the expression:
[tex]\frac{x^4}{x^0}[/tex]
Anything to the zeroth power (except for 0) is 1. Assuming x is not 0:
[tex]=x^4/1\\=x^4[/tex]
And that's the simplest it can get.
Answer:
[tex]\Huge \boxed{\mathrm{1. \ 1}} \\ \\ \\ \Huge \boxed{\mathrm{2. \ (2,3)}} \\\\\\ \Huge \boxed{{3. \ x^4 }}[/tex]
Step-by-step explanation:
The degree is the largest exponent on the variable.
[tex]7x^1 + 1x^0[/tex]
The largest exponent on the variable is 1.
The degree is 1.
System of equations:
[tex]x+y=5 \\ \\ 3x-y=3[/tex]
Solving y for the first equation.
Subtracting x from both sides.
[tex]y=5-x[/tex]
Substitution method.
[tex]3x-(5-x)=3[/tex]
Distribute negative sign.
[tex]3x-5+x=3[/tex]
Combining like terms.
[tex]4x-5=3[/tex]
Adding 5 to both sides.
[tex]4x=8[/tex]
Dividing both sides by 4.
[tex]x=2[/tex]
Substitution method.
[tex]y=5-2 \\ \\ \\ y=3[/tex]
[tex]\displaystyle \frac{x^4 }{x^0 }[/tex]
Subtract exponents with same bases when dividing.
[tex]x^{4-0}[/tex]
[tex]x^4[/tex]
will mark BRANLIEST and give you ALL MY POINTS, and answer ANY QUESTIONS U MAY HAVE!!!! pls help! tysm <3
Answer:
[tex]\huge \boxed{1+(-3)=-2}[/tex]
Step-by-step explanation:
An arrow goes from 0 to 1.
So 0 + 1 or just 1.
An arrow goes from 1 to -2.
So 1 - 3 = -2.
1 moves 3 units to the left to -2.
[tex]1+(-3)=-2[/tex]
Evaluate the expression below for s=4 and t=7. 3st^2 - s^2
Answer:
572
Step-by-step explanation:
3(4)*(7)^2-4^2
Which of the following domains represent where the function f(x) = 2(2 - 5)2 + 3 is invertible?
А.
225
B.
IS 3
035
D
2 3
Answer:
a
Step-by-step explanation:
Which of the following expressions are equivalent to this expression:
-1(0) = ?
-14 + (-4)]
-1[4 + (4)]
1+ [4 +(-4)]
-11-4 + (-4)]
Answer:-1[4+(-4)]
Step-by-step explanation:
4 and -4 are equaled to 0. So it is -1(0)
Answer:
A
Step-by-step explanation:
A Queensland toad travels 10 m/day. How far will it travel in 5 hours?
Answer:
2.08
Step-by-step explanation:
10/x = 24/5
50 = 24 x
x = 50 / 24
x = 2.08 m
This answer is rounded to the nearest hundredth.
Answer:
2.083 meters
Step-by-step explanation:
10/24 = 0.416
if the toad travels 10 meters in a day then in order to get how many meters the toad travels in an hour you have to divide that number (10) by 24 which is the number of hours in a day
0.416 × 5 = 2.083
After that you just have to multiply the number of meter that the toad travels in an hour by 5 hours which will get you 2.083 meters
5. (5 points, bonus). Find the Singular Value Decomposition of the matrix A from problem 4. Verify your answer.
Answer:
The question is not complete.
I will explain the concept of Singular Value Decomposition
Step-by-step explanation:
The singular value decomposition (SVD) of a matrix A is the process of factorizing A into the product of three matrices A = [tex]U DV^{T}[/tex] where the columns of U and V are orthonormal and the matrix D is diagonal with positive real entries.
This process is used to carry out many tasks.
Data matrix A is useful to find a low rank matrix which is a good approximation to the data matrix.
The columns of V is called the right singular vectors of A and it normally form an orthogonal set with no assumptions on A. The columns of U is reffered to as the left singular vectors and it also forms an orthogonal set. The orthogonality forms the inverse of A for a square and invertible matrix A which is [tex]V D^{-1}[/tex][tex]U^{T}[/tex].
If we want gain better insight of the process, we will need to treat the rows of an n × d matrix A as n points in a d-dimensional space and find the best k-dimensional subspace with respect to the set of points. This means that we will minimize the sum of the squares of the perpendicular distances of the points to the subspace.
To find the best fitting line through the origin with respect to a set of points {xi |1 ≤ i ≤ n} will mean that we will minimize the sum of the squared distances of the points to the line.
Simplify the expression: 4(5 - n) + 10n
Answer: [tex]6n+20[/tex]
Distribute
[tex](4)(5)+(4)(-n)+10n\\20+-4n+10n[/tex]
Combine Like Terms
[tex]20+-4n+10n\\(-4n+10n)+(20)\\6n+20[/tex]
Whats $61.00 with 7% sales tax?
Answer:
$65.27
Step-by-step explanation:
Multiply $61.00*0.07=65.27
Answer:
$65.27
Step-by-step explanation:
61x.07=4.27
61+4.27=65.27
What is the equation, in slope-intercept form, of the line that passes through (0, 3) and has a slope of −6?
Answer:
The answer is
[tex]y = - 6x - 3[/tex]Step-by-step explanation:
To find the equation of the line given a point and slope we use the formula
[tex]y - y_{1} = m(x - x _{1})[/tex]where
m is the slope
( x1 , y1) is the point
From the question the point is (0 , 3) and slope is - 6
Substitute the values into the above formula and solve
That's
[tex]y - 3 = - 6(x - 0) \\ y - 3 = - 6x[/tex]We have the final answer as
[tex]y = - 6x - 3[/tex]Hope this helps you
The following graph describes function 1, and the equation below it describes function 2:
Function 1
graph of function f of x equals negative x squared plus 8 multiplied by x minus 15
Function 2
f(x) = −x2 + 2x − 3
Function ____ has the larger maximum.
(Put 1 or 2 in the blank space)
Answer:
Answer:
Function 1 written in vertex form is f(x) = -x^2 + 8x - 15 = -(x^2 - 8x + 15) = -(x^2 - 8x + 16 + 15 - 16) = -(x - 4)^2 - (-1) = -(x - 4)^2 + 1
Therefore, vertex = (4, 1)
Function 2 written in vertex form is f(x) = -x^2 + 4x + 1 = -(x^2 - 4x - 1) = -(x^2 - 4x + 4 - 1 - 4) = -(x - 2)^2 - (-5) = -(x - 2)^2 + 5
Therefore vertex = (2, 5)
Function 1 has a maximum at y = 1 and function 2 has a maximum at y = 5. Therefore, function 2 has a larger maximum.
Step-by-step explanation:
00:00
Brandy made 7 batches of cookies. Each batch contained 12 cookies.
She put the same number of cookies in each of 5 bags. How many cookies were NOT put in bags?
16 cookies
12 cookies
4 cookies
2 cookies
Answer:
4 cookies
Step-by-step explanation:
The remainder of (7x12)/5 is your answer.
What is the expression for the calculation double 2 and then add 5? Then use x as the variable
Answer:
2x+5
Step-by-step explanation:
A disinfectant spray bottle say it eliminates 90% of bacteria with each application. You apply the disinfectant once to a countertop in the shipping department and then apply the disinfectant again to the same countertop. If the bottle is correct what percentage of the bacteria originally on the table top have been eliminated
Answer:
%180?
Step-by-step explanation:
90+90 is 180
How many adults who have been told that they have hypertension would you expect to find in a sample of 20
Answer: 24
Step-by-step explanation:
When a number is increased by 9.5%, the result is 58. What is the original number to the nearest tenth?
Answer:
50
Step-by-step explanation:
58 - 9.5
Answer:
Your correct answer is 52.49
Step-by-step explanation:
Subtract.
58 - 9.5% = 52.49
Simplify the expressions. Type in your answer with no spaces.)
3(x + 1) - 2(x-4)
Simplify the expression.
x+11
Hope this helps (❁´◡`❁)
Answer:x+11
Step-by-step explanation:distribute the combine like terms
50% of 80 solve pls show working
pls I know it just try working it
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{40}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{50 \: \% \: of \: 80}[/tex]
To convert the percent into a fraction , divide it by 190 and remove the % symbol. Then , Simplify the fraction to its lowest term.
⇒[tex] \sf{ \frac{50}{100} \times 80}[/tex]
⇒[tex] \sf{ \frac{1}{2} \times 80}[/tex]
Divide 80 by 2
⇒[tex] \sf{40}[/tex]
Hope I helped!
Best regards!!
Answer:
40
Step-by-step explanation:
50% of 80 is just 0.5 x 80 = 40
"Scenario: You have to pay your share of the rent today. The total rent for your apartment is $1762.50. You have two roommates that you share the costs. You owe 1/3 of the rent. You checked your account balance online and your current balance is $668.72"
Answer:
You would be required to pay $587.50
Step-by-step explanation:
Divide $1762.50 by three:
You get $587.50
To find how much you have left:
Subtract 587.50 from 668.72:
You'd be left with
$81.22
Answer:
If you are asking if you can afford to pay rent, then yes you can. Your share of rent would be 1762.50 divided by 3, which equals 587.50. Therefore since 587.50 is less than 668.72, you can afford to pay your rent. Hope this helps!
Step-by-step explanation:
Find the dot product of vectors a and b and the angle between them. a = (9,0) b = (5,8)
Answer:
57.99 degrees
Step-by-step explanation:
a = <9, 0> and b = <5, 8>.
Then the dot product is (9)(5) + (0)(8) = 45 (a scalar)
The cosine of the angle between these two vectors is
a · b 45 45 5
cos Ф = --------- = ------------------------ = ------------- = -------- = 0.53
|a||b| (9)( √[25 + 64] ) 9(√89) √89
The angle between the vectors is arccos 0.53, which comes out to 1.01 radian or 57.99 degrees.
A student looking at global population figures remarks that between the years 1950 and 2010 the global population can be modelled by the equation 300y = 23t − 44 180 (1950 ≤ t ≤ 2010) Using algebra, calculate the year in which the population passed 6 billion
Answer:
The year in which the population passed 6 billion is 2000.
Step-by-step explanation:
We are given that a student looking at global population figures remarks that between the years 1950 and 2010 the global population can be modeled by the equation 300y = 23t − 44180; where (1950 ≤ t ≤ 2010).
And we have to calculate the year in which the population passed 6 billion.
The given expression is;
[tex]300y=23t-44180[/tex]
Firstly, put t = 1960 {as t lies between 1950 and 2010}
[tex]300y=(23\times 1960)-44180[/tex]
[tex]300y=45080-44180[/tex]
[tex]300y=900[/tex]
[tex]y = \frac{900}{300}[/tex] = 3 billion
But we have to cross the population by 6 billion.
Now, put t = 1999 in the expression;
[tex]300y=(23\times 1999)-44180[/tex]
[tex]300y=45977-44180[/tex]
[tex]300y=1797[/tex]
[tex]y = \frac{1797}{300}[/tex] = 5.99 billion
Still, it's not passed 6 billion, so finally put t = 2000;
[tex]300y=(23\times 2000)-44180[/tex]
[tex]300y=46000-44180[/tex]
[tex]300y=1820[/tex]
[tex]y = \frac{1820}{300}[/tex] = 6.1 billion
Now, the global population has crossed 6 billion.
Hence, the year in which the population passed 6 billion is 2000.
6 13 51
4 7 29
19 11 ?
What the missing number?
Answer:
I think the answer is 3 ( Maybe)
4. What is the correct simplified form? See picture
Answer:
option 3
Step-by-step explanation:
Solving these quadratics for x using complete the square 3x^2-4x-1=0. Show your work.
The city planning committee wants one tree planted every 20 ft along Dayton Ave. if the perimeter of the plot of land is 234 ft about how many trees will be planted. explain. 12 is an incorrect answer.
Answer:
2 trees
Step-by-step explanation:
Since the city is planting a tree every 20 feet across Dayton Avenue, then we need to find the length of the side that is on Dayton Avenue.
We are missing 3 sides to this. But it's extremely important to note that the side adjacent to Dayton Avenue is the same length as the other missing two sides combined. This is because both of these lengths contain the 1 feather and 2 feather mark - these signify congruence.
This means that the side lengths of both of them combined will be [tex]234-52-68=114[/tex]
This means the side adjacent to Dayton Avenue is
[tex]114\div2=57[/tex] feet long.
Now that we know that the side is 57 feet long, we have to divide this by 20, as a tree is being placed every 20 feet. If we get a decimal, we will have to round down because it gets planted only, and only if, 20 more feet has been accomplished. If we are a fraction of the way there, a tree doesn't get planted.
[tex]57\div20=2.85[/tex]
Rounding down gets us 2.
Hope this helped!
The number of trees to be planted is 2 trees
The process of arriving at the above number of trees is as follows;
The given parameter are;
The perimeter of the plot of land adjacent to Dayton Avenue = 234 ft.
The perimeter has two pair of unknown lengths sides marked with equal lengths symbols
One length each of the two congruent pairs form a linear pair adjacent to the road
The length of one of the other side = 52 feet
The length of the fifth side of the perimeter = 68 ft.
Method;
Let, x, and y represent the lengths of the congruent pairs, we have;
52 ft. + 68 ft. + 2·x + 2·y = 234 ft.
2·x + 2·y = 234 ft. - (52 ft. + 68 ft.) = 114 ft.
The length of the linear pair forming the side of the perimeter adjacent to the road, x + y = 114 ft./2 = 57 ft.
The number of trees planted every 20 ft. = 1 tree
The number of trees, n, that can be planted along the perimeter of the plot of land adjacent to Dayton Avenue which is 57 ft. long is therefore;
n = 57 ft./(20 ft./Tree)
∴ n = 57/20 Trees = 2.85 trees
The number of trees that can actually be planted by the owners of the plot
of land is given by rounding down to the next whole number, given that the
the information is statistical analysis which gives;
n ≈ 2 Trees
The number of trees to be planted = 2 trees
Learn more about statistical analysis here;
https://brainly.com/question/3014289
What is the ones digit in the number 3^20997
Answer:
7
Step-by-step explanation:
3^0 = 1
3^1 = 3
3^2 = 9
3^3 = 27
3^4 = 81
3^5 = 243
3^6 = 729
3^7 = 2187
3^8 = 6581
===========
You can see that the pattern is beginning to repeat itself.
===================
So all you need do is take 2099 and divide by 3. You must pay attention to the remainder.
2099 / 4 = 524.75
The answer means that you go through the cycle 524 times getting 1,3,9,7,1 as the units digit.
In this case the remainder is 0.75 which is the same as 3/4. The remainder then is 3
If there is no remainder, the ending is a one.
if there is a remainder of 1 the answer is 3
If there is a 2 remainder, the number ends in 9
If there is a 3 remainder, the number ends in 7
And that's your answer.
Nancy decides to roll a die three times. What's the probability that she will roll all even numbers?
Answer:
1/8
Step-by-step explanation:
The probability of rolling an even number on one roll is 3/6 = 1/2. Assuming the rolls are independent, the probability of rolling an even number 3 times is ...
(1/2)(1/2)(1/2) = 1/8
The probability that Nancy rolls all even numbers in 3 rolls is 1/8.
The probability that she will roll all even numbers is 1/8.
It should be noted that there are 6 numbers in one roll of a dice. Therefore, there are 3 even numbers and 3 odd numbers.
The probability of getting even numbers in one roll will be:
= 3/6 = 1/2
The probability that she will roll all even numbers will be:
= 1/2 × 1/2 × 1/2
= 1/8
Read related link on:
https://brainly.com/question/17223144
Easy Algebra Question! Solve for x [tex]b+3/x=f/2[/tex]
Answer:
Step-by-step explanation:
There are two denominators here: x and 2. The LCD is 2x.
Remove the fractions by multiplying all three terms by 2x:
2x(b) + 2x*3/x = 2x*f/2
Reducing these terms, we get:
2xb + 6 = x*f
Grouping the x terms together: 2xb - xf = -6
-6
Solving for x: x = ------------------
2b - f
Order Greatest to Least -22.52,-22.5, -22 1/4, -2223%
Answer:
-22.23 -22.25 -22.5 -22.52
Step-by-step explanation:
-22.52,-22.5, -22 1/4, -2223%
-22 1/4 = -89/4 = -22,25
-2223% / 100%= -22.23
-22.23 -22.25 -22.5 -22.52
When 12 is divided by 3/4
which statement about the quotient is true? It is equal to 12 3/4, it is greater than 12, is greater than 3/4 but less than 12, it is less than 3/4 
Answer: 2 Answers By Expert Tutors
The rule for division by a fraction is "change to multiplication by the reciprocal." So you want(4/3)(12) which is 4(4) = 16
Step-by-step explanation:
Solve for w.
16w − 15w = 20