Answer:
B
Step-by-step explanation:
Distributive property: a*(b + c)= (a*b) + (a*c)
\(\frac{3}{4}*(\frac{1}{2}+\frac{-2}{5})=\frac{3}{4}*\frac{1}{2}+\frac{3}{4}*\frac{-2}{5}\\\\=\frac{3}{8}+\frac{-6}{20}\\\\=\frac{3*5}{8*5}+\frac{-6*2}{20*2}\\\\=\frac{15}{20}+\frac{-12}{40}\\\\=\frac{15-12}{40}\\\\=\frac{3}{40}\)
Consider selecting two elements, a and b, from the set A = {a, b, c, d, e}. List all possible subsets of A using both elements. (Remember to use roster notation. ie. {a, b, c, d, e}) List all possible arrangements of these two elements.
Possible subsets of A using two elements are:
{a, b}, {a, c}, {a, d}, {a, e},
{b, c}, {b, d}, {b, e},
{c, d}, {c, e},
{d, e}
Possible arrangements of these two elements are:
ab, ac, ad, ae,
bc, bd, be,
cd, ce,
de
To learn more about subsets refer below
https://brainly.com/question/30968366
#SPJ11
Use the quadratic formula to determine the exact solutions to the equation.
Answer:
Hopefully this helps\(x = 5 + \sqrt{17 } \\ 4\)
Whats the value of y ?
\( \displaystyle{ \qquad \sf \: y = \sf \int _0 }^{1} \sf (x {}^{2} + 5)\: \: dx\)
Answer:
5 1/3
Step-by-step explanation:
You want the value of the definite integral of (x² +5) on the interval [0, 1].
IntegralThe power rule applies:
∫(x^n)dx = (x^(n+1))/(n+1)
This means the integral is ...
\(\displaystyle \int_0^1{(x^2+5)}\,dx=\left(\dfrac{x^3}{3}+5x\right)_0^1=\dfrac{1}{3}+5\)
The value of y is 5 1/3.
Select all of the values that are solutions of x2 + 20 = 12x.
X = -10
x = -2
x= 2
x = 10
RETRY
Answer:
the answer is : x=2 not 100% sure
Four students were discussing a quiz they took in Social Studies last week. James said he got 3/4 of his problems correct. William said he got 85% of his problems correct. Rebecca said that James got 3 times as many problems correct as she did. Katelyn said she got 7/10 of her questions correct. Which student got the most questions correct?
To determine who got the most questions correct, we need to compare the fractions or percentages of correct answers each student got. However, the comparison between James and Rebecca depends on the total number of problems each had, which is not provided. Here's what we know:
- James: 3/4 or 75%
- William: 85%
- Rebecca: 1/3 of what James got (since James got 3 times as many problems correct as she did), which would be 1/3 * 75% = 25%
- Katelyn: 7/10 or 70%
So, based on the percentages, William got the highest percentage of problems correct with 85%.
However, if we're talking about the absolute number of problems correctly answered, we can't conclusively determine who got the most questions correct without knowing the total number of questions each student had on their quiz. For instance, if James had 100 questions on his quiz and Rebecca had 10, then James would have answered more questions correctly than Rebecca even though his percentage is lower.
Over the past 4 years, a customer's fixed income portfolio value has dropped by 5%. During the same period, the Consumer Price Index has dropped by 2%. Based on these facts, which statement is TRUE?
The statement that is TRUE based on the given facts is that the customer's fixed income portfolio has experienced a greater decline in value than the decrease in the Consumer Price Index (CPI).
To elaborate, the customer's fixed income portfolio has dropped by 5% over the past 4 years. This means that the value of their portfolio has decreased by 5% compared to its initial value. On the other hand, the Consumer Price Index (CPI) has dropped by 2% during the same period. The CPI is a measure of inflation and represents the average change in prices of goods and services.
Since the customer's portfolio has experienced a decline of 5%, which is larger than the 2% drop in the CPI, it indicates that the value of their portfolio has decreased at a higher rate than the general decrease in prices. In other words, the purchasing power of their portfolio has been eroded to a greater extent than the overall decrease in the cost of goods and services measured by the CPI.
Learn more about average here:
brainly.com/question/33084225
#SPJ11
Please help. I will give brainliest.
Answer:
For q1 I think it is y=x^2
For q2 it would then be exponential
Step-by-step explanation:
hope this helps!
Answer:
Your answer is
Question 1, y= x^2+x
Question 2, Quadratic
Hope that this is helpful. Tap the crown button, Like & Follow me
This vector function removes an item from a vector. A) remove_item B) delete_item C) erase D) pop_back
This vector function removes an item from a vector is erase (option c).
The vector function that removes an item from a vector in most programming languages, including C++, is typically called "erase." The erase function is used to remove elements from a vector based on a specified position or range.
The erase function can take different forms depending on the programming language and vector implementation. For example, in C++, the erase function is a member function of the vector class and can be used in the following ways:
vector.erase(position) - Removes the element at the specified position.
vector.erase(first, last) - Removes elements in the range defined by the iterators 'first' and 'last'.
Using the erase function allows you to remove elements from a vector and adjust the size of the vector accordingly. The correct option is c.
To know more about vector:
https://brainly.com/question/24256726
#SPJ4
Determine whether the subspaces are orthogonal: S_1 = span {[4 5 - 4], [0 1 1]}, S_2 = span {[5 -4 0]} S_1 = span {[1 1 1 1]}, S_2 = span {[-1 1 -1 1], [0 2 -2 0]} S_1 = span {[0 0 2 1], [0 0 1 -2]}, S_2 = span {[3 2 0 0], [0 1 -2 2]}
For subspaces to be orthogonal, their intersection must be the zero vector.
Therefore, we can determine whether the subspaces are orthogonal by checking if the dot product between any two vectors, one from each subspace, is equal to zero.
For S_1 and S_2, the dot product between [4 5 -4] and [5 -4 0] is not equal to zero, so they are not orthogonal.
For S_1 and S_2, the dot product between [1 1 1 1] and [-1 1 -1 1] and [0 2 -2 0] is equal to zero, so they are orthogonal.
For S_1 and S_2, the dot product between [0 0 2 1] and [3 2 0 0] and [0 1 -2 2] is equal to zero, so they are orthogonal.
Two subspaces are orthogonal if their vectors have a dot product of zero. For S_1 = span {[4 5 -4], [0 1 1]} and S_2 = span {[5 -4 0]}, the dot products are (4)(5) + (5)(-4) + (-4)(0) = 0. They are orthogonal.
For S_1 = span {[1 1 1 1]} and S_2 = span {[-1 1 -1 1], [0 2 -2 0]}, the dot product of S_1 and both vectors in S_2 is non-zero. They are not orthogonal.
For S_1 = span {[0 0 2 1], [0 0 1 -2]} and S_2 = span {[3 2 0 0], [0 1 -2 2]}, the dot product of all pairs of vectors is zero. They are orthogonal.
To know more about orthogonal visit:
https://brainly.com/question/32196772
#SPJ11
32 children voted for thier favorite ice cream chocolate 3/8 so how may children voted for chocolate explanation step by step plssss
On solving the provided question we can say that The result of multiply the total number of kids by the proportion of those who enjoy chocolate is 12
What is Multiplication?Along with addition, subtractiοn, and division, multiplication is one of the four arithmetic operations. Multiplicatiοn in math refers to regularly adding groups of the same size. The formula for multiplication is multiplicand multiplier Equals prοduct.
Specifically, multiplicand: First number (factοr). divider: Second number (factor). After multiplying the multiplicand and the multiplier, the result is knοwn as the product. Multiple additiοns are made while adding numerals. as in 5 times 4 Equals 5 + 5 + 5 + 5 = 20, I multiplied 5 by 4 times. Multiplication is frequently referred tο as "doubling" because οf this.
The result of multiply the tοtal number of kids by the proportion of those who enjoy chocolate is
32 × 3/8 = 12
To know more about multiply visit:
brainly.com/question/23536361
#SPJ1
In an instruction like: z = x + y, the symbols x, y, and z are examples of _____.
a. output
b. visibles
c. variables
d. instructions
The symbols x, y, and z are examples of variables in an instruction like z = x + y.
A variable is a term that signifies anything that can be varied or altered. In programming, variables are utilized to hold values that might be modified and used in later code.
A variable is a name that identifies a memory location where data is stored. It can be changed anytime. Variables are commonly used in mathematical expressions, such as those seen in algebra. For example, x + 150 = 300In this instance, x is the variable. 150 and 300 are constants.
Learn more about variables
https://brainly.com/question/15078630
#SPJ11
need help will give brainliest
Answer:
Step-by-step explanation:
C
The question i want to know is linked below. Please help :)
Answer:
Hey there!
To solve this problem, we want to find the LCM (least common multiple) of the two numbers.
The numbers are 25 and 30.
25=5x5
30=2x3x5
LCM is 5x5x2x3, or 150.
Thus, in 150 minutes is when the next bus will leave.
150 mins is equal to 2 hours and 30 mins, or 2.5 hours.
8 AM + 2.5 hrs = 10:30 AM.
Thus, the next time the busses leave together would be at 10:30 AM.
Let me know if this helps :)
Suppose that f(1) = 1, f(4) = 5, f '(1) = 3, f '(4) = 3, and f '' is continuous. find the value of 4 1 xf ''(x) dx.
Answer: b
Step-by-step explanation:
I think
???
HELPOOOOOPPPPPPPPPPPPPOPPPPPPPP
Answer:
-13, -22, -31, -40
Step-by-step explanation:
substitute n for each term
solve this equation using synthetic division x³+2x²+4x+8=0
Answer:
Your answer is.......
x^3 + 2x^2 + 4x + 8=0 Note.. if x=-2 then whole equation is 0
So, (x+2) is one factor.
x^3 + 2x^2 + 4x + 8
=x^2(x+2)+4(x+2)
(x+2)(x^2+4)
Mark my answer as brainlist. pls pls pls
What is the answer ?
Answer:42
Step-by-step explanation:
How much more rain fell in June than in August? Simplify the answer.
June: 5.75
August: 2.1
Please help!! <3
Thanks in advance!!
a rectangular room is 3 times as long as it is wide, and its perimeter is 48 meters. find the dimensions of the room.
The dimensions of the room will be 12m x 6m.
What is a dimension?In mathematics, dimensions are the measurements of the size or distance of an item, area, or space in one direction. In layman's words, it is the measurement of something's length, breadth, and height. Length is the most often used dimension.So, now calculate the dimensions of the room as follows:
Let the width be x.Then the length will be 3x.Perimeter = 48 metersSolve as shown:
2 ( x + 3x) = 488x = 48x = 6mlength = 12 mTherefore, 12m x 6m will be the dimensions of the room.
Learn more about dimensions here :
brainly.com/question/15688735
#SPJ4
can u please help!!!
Answer:
Aw, it doesn't let me see the picture... can you explain it and what we are supposed to find?
Step-by-step explanation:
Find the slope !!!
40 points
Answer:
C
Step-by-step explanation:
Answer:
C. m = -1/4
Step-by-step explanation:
You must find two different numbers on the number like. I will use (0, 1) and (4,0)
0-1/4-0
Combine
-1/4
m = -.25
The line y= -3 is a reflection of the line y=5. What is the equation for the line of reflection?
Answer:
y = 1
Step-by-step explanation:
The line of reflection will be a parallel line midway between y = - 3 and y = 5
y = \(\frac{-3+5}{2}\) = \(\frac{2}{2}\) = 1
line of reflection is y = 1
Answer:
y=1
Step-by-step explanation:
the line of reflection will be a parallel line midway between y=-3and y=5
y=-3+5/2
=2/2=1
2 2.4.3 Quiz: Adding and Subtracting Functions
Question 4 of 10
If f(x) = 3x - 2 and g(x) = 2x + 1, find (f + g)(x).
A. 5x - 1
B. X-3
C. X-1
D. 5x-3
Answer:
Ii's letter A
Step-by-step explanation:
If functions f(x) = 3x - 2 and g(x) = 2x + 1 then (f+g)(x) value is 5x-1, Option A is correct.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given functions are f(x) = 3x - 2 and g(x) = 2x + 1
We have to find the function (f+g)(x)
By property of the function (f+g)(x) = f(x) + g(x)
Now plug in the values of function f(x) and g(x)
(f+g)(x)= 3x-2+2x+1
Combine the like terms
(f+g)(x)= 5x-2+1
= 5x-1
Hence, if functions f(x) = 3x - 2 and g(x) = 2x + 1 then (f+g)(x) value is 5x-1, Option A is correct.
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ7
The formula for area of a triangle is given by: A=bh/2 Rearrange the formula to solve for b
Answer:
b = 2A
h
Step-by-step explanation:
A=bh/2
2A = bh
b = 2A
h
Answer:
b=(2a)/h
Step-by-step explanation:
Multiply both sides by 2
2A=bh
Divide both sides by h
(2a)/h=b
Which set of variables below is most likely to have a positive correlation?
A. Amount of miles driven in a car and country in which the car doing the driving was made
B. Amount of miles driven in a car and amount of gasoline left in the gas tank
C. Amount of miles driven in a car and model year of the car used to do the driving
D. Amount of miles driven in a car and amount of gasoline used
Answer:
D
Step-by-step explanation:
The amount of miles increase and the amount of gasoline used increases
t + (-5) = 14
can someone solve the equation please?
Answer: 19
Add 5 to both sides
t - 5 = 14
t - 5 + 5 =14 + 5
Simplify
T=19
Hope this helped
Multiply using the distributive property
Answer:
see image
Step-by-step explanation:
10.6.2
Please show your answer to at least 4 decimal places. - Suppose that f(x, y) = y. The directional derivative of f(x, y) in the direction of (5, 6) and at the point (x, y) = (1, - 4) is
To find the directional derivative of the function f(x, y) = y in the direction of (5, 6) at the point (x, y) = (1, -4), we can use the dot product between the gradient of f and the given direction vector.
The gradient of f(x, y) is ∇f = (∂f/∂x, ∂f/∂y), where ∂f/∂x represents the partial derivative of f with respect to x, and ∂f/∂y represents the partial derivative of f with respect to y.
In this case, ∂f/∂x = 0 (since f(x, y) = y does not depend on x), and ∂f/∂y = 1. The direction vector (5, 6) has a magnitude of √(5² + 6²) = √(61).
The directional derivative is given by the dot product:
Df = ∇f · (5/√(61), 6/√(61)).
Substituting the values of ∇f and the direction vector, we have:
Df = (0, 1) · (5/√(61), 6/√(61)).
Taking the dot product, we get:
Df = 0*(5/√(61)) + 1*(6/√(61)) = 6/√(61).
Calculating this value to at least 4 decimal places, we have:
Df ≈ 0.7700.
Therefore, the directional derivative of the function f(x, y) = y in the direction of (5, 6) at the point (x, y) = (1, -4) is approximately 0.7700.
Learn more about function here: brainly.com/question/32515446
#SPJ11
Find a and b.
Please help this is due tomorrow and I forgot how to do this!!
This theorem states that:
\(a^2+b^2=c^2\)
a and b are two legs of a right triangle (the sides that create the right angle)c is the hypotenuse (the longest side)Solving the QuestionIn this diagram, notice how there are two smaller triangles that create the large triangle.
To find a and b, we can look at the two small triangles instead of seeing everything as a whole.
Let the top triangle be Triangle A and the bottom triangle be Triangle B.
Triangle ASolve for a using the Pythagorean theorem:
\(a^2+b^2=c^2\\12^2+6^2=a^2\\a=\sqrt{12^2+6^2}\\a=13.42\)
Triangle BSolve for b using the Pythagorean theorem:
\(a^2+b^2=c^2\\6^2+3^2=b^2\\b=\sqrt{6^2+3^2}\\b=6.71\)
Answera = 13.42
b = 6.71