Answer:
f(x) = 24 miles per gallon
Step-by-step explanation:
car manufacturer claims that their car can get 33 miles per gallon minus the speed factor
f (×) =33 -0.15x
For a car going 60 mph
f (×) =33 -0.15x
X=60 mph
f (×) =33 -0.15x
f(x) = 33-0.15(60)
f(x) = 33-9
f(x) = 24 miles per gallon
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:
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
Determine whether this is valid or invalid argument
Answer:valid
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
RES
Find (fºg)(1)
Ax) = x2 - 1
g(x)= v
a 0
c. 4.
b.
d. 18
Help pls
Answer:
A
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=x^2-1\\g(x)=\sqrt x[/tex]
And we want to find:
[tex](f\circ g)(1)[/tex]
This is the same as:
[tex]f(g(1))[/tex]
So, to find the answer, find g(1) first:
[tex]g(x)=\sqrt x\\g(1)=\sqrt1\\g(1)=1[/tex]
Now, substitute this value for g(1):
[tex]f(g(1))\\=f(1)[/tex]
And plug this into f(x):
[tex]f(x)=x^2-1\\f(1)=(1)^2-1\\f(1)=1-1=0[/tex]
Therefore:
[tex]f(1)=f(g(1))=(f\circ g)(1)=0[/tex]
Our answer is A
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:
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]
What is the value of x? 11-5(x+7)=21
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.
A random sample of 20 purchases showed the sample mean of $48.77 and the sample standard deviation s is $17.58. How large is the margin of error for a 80 % confidence interval for the mean purchases of all customers
Answer:
$5.03Step-by-step explanation:
Given data
Sample Mean (M): $48.77
Sample Size (n): 20
Standard Deviation (σ) : $17.58
Confidence Level: 80%
we know that z*-Values for 80% Confidence Levels is 1.28
the expression for margin of error is given bellow\
MOE= z*σ/√n
We can now substitute into the expression and solve for the MOE as
MOE= 1.28*17.58/√20
MOE= 22.502/4.47
MOE= 22.502/4.47
MOE= 5.03
The margin of error for a 80 % confidence interval is $5.03
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.
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.
Which expression is equivalent to the algebraic expression below? Show your work. 3(-2x - 1) A. x + 2 B. x - 1 C. -6x - 3 D. -6x - 1
Answer:
C
Step-by-step explanation:
Multiply 3 and -2x and that's -6x Multiply 3 and -1 and that's -3maths:Mr John thinks of a number he double it he' result is 58 what is Mr John number
Answer:
29
Step-by-step explanation:
if you do 58 divided by 2 you get 29 so Mr. John doubles 29.
Which of the following correctly describes the product below?
5.15 x 6V7
Answer:
Step-by-step explanation:
78
Answer:
50
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
Find the range of the given data set.
-4, -3, -1, -1, 0, 1
-5
-3
3
5
Answer:
5
Step-by-step explanation:
Range is calculated by Taking the highest value number (1) and the lowest number(-4) and subtracting both the numbers.
Answer:
Step-by-step explanation:
As we know that
range= largest -smallest value
So
-4=smallest value
-1=largest value
-4-1=-5
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
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]
11) Which situation can be represented by 17.35x > 624.60?
F A waitress had received a $17.35 tip. This brought her total in tips to more than $624.60.
How much money in tips did she have before the $17.35 tip?
G Brianda made a deposit of $17.35 into a savings account. This brought the total in her
savings account to $624.60. How much money did she have in this savings account before
she made the deposit?
H A dozen tamales cost $17.35 including tax. How many dozen tamales can a customer buy
with $624.60?
J Darren earns $17.35 per hour at his job. How many hours does he need to work in order
to earn more than $624.60?
Answer:
J Darren earns $17.35 per hour at his job. How many hours does he need to work in order to earn more than $624.60?
Step-by-step explanation:
You're looking for a situation in which the number 17.35 needs to be multiplied by an unknown quantity.
Scenarios F and G involve addition of 17.35 to something.
Scenario H would correspond to the inequality ...
17.65x < 624.60
The sign of the given inequality is >, so scenario H is not the one.
__
In scenario J, Darren's total earnings for x hours will be 17.35x, and we want to find x such that this total is greater than 624.60. This matches the given inequality:
17.35x > 624.60 . . . . . . answer choice J
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.
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:
You have 17 pennies, 31 nickels, 22 dimes, and 14 quarters. How much money will you have if you lend $6.50 to a friend?
Answer: 92 cents
Step-by-step explanation:
Solving these quadratics for x using complete the square 3x^2-4x-1=0. Show your work.
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
image Suppose that you have a square pyramid like the one pictured. Which plane section will produce a triangle? Question 19 options: A) A cross section cut parallel with the bottom B) Cutting off one of the bottom corners C) A cut parallel to the vertical axis, directly through the vertical axis D) A cut parallel to the vertical axis, but off the vertical axis
Answer:
C) A cut parallel to the vertical axis, directly through the vertical axis
Step-by-step explanation:
If you were to cut this figure in half vertically, the view from the front would be a triangle.
To produce a triangle square pyramid should be cut parallel to the vertical axis, but of the vertical axis option (D) A cut parallel to the vertical axis, but off the vertical axis is correct.
What is a square pyramid?In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the square's joints at the top, which is perpendicular to the center of the square.
As we know, geometry can be defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.
We have a square pyramid shown in the picture.
We must cut along to the vertical axis but off the vertical axis in order to create a triangle from the square pyramid.
Thus, to produce a triangle square pyramid should be cut parallel to the vertical axis, but of the vertical axis option (D) A cut parallel to the vertical axis, but off the vertical axis is correct.
Learn more about the pyramid here:
brainly.com/question/13057463
#SPJ5
Describe the difference between the 6 in the 45,369 and the 6 in 67,420. Write two different statements.
They are different values. The 6 in 45,369 is in the tens place while the 6 in 67,420 is in the ten thousand place.
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:
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
"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: