Answer:
5x + 2y + 5z
Step-by-step explanation:
Step 1: Write out expression
3x + 4y + 5z + 2x - 2y
Step 2: Combine like terms (x)
5x + 4y + 5z - 2y
Step 3: Combine like terms (y)
5x + 2y + 5z
Two brothers, Mark and Walter, each inherit $20000. Mark invests his inheritance in a savings account with an annual return of 2.5%, while Walter invests his inheritance in a CD paying 6.1% annually. How much more money than Mark does Walter have after 1 year?
Answer:
$720
Step-by-step explanation:
$20000 - 100%
$x. - 2.5%
x=(20000*2.5)/100=500
20000+500=$20500 in one year (Mark)
20000 - 100
x. - 6.1
x= (20000*6.1)/100 = 1220
20000+1220= $21220 (Walter)
21220-20500= $720 more (Walter will have after 1 year)
find the are of the yellow region. round to the nearest 10th.
Area of a square = side^2
In this problem,
Side = 5ft
Plug 5 into the formula above
Area = 5^2 = 25ft^2
But we have to subtract the area of the circle.
Area of a circle = πr^2
r = radius
The diameter is 5 ft and the radius of a circle is diameter / 2
The radius of this circle = 2.5
Let's plug that into our formula.
Area = π(2.5)^2 = 19.63.
Let's subtract the area of the circle from the square
25 - 19.63 = 5.37 = 5.4ft^2
the distance covered by a car depends on how fast the car was going and on how long it has travelled?
Answer:
Yes it does
Step-by-step explanation:
Distance is equal to rate multiplied by time and the rate is how fast the car is going and how long is the time so yes it will be equal to distance.
The statement given in the question is TRUE that is "the distance covered by a car depends on how fast the car was going and on how long it has travelled"
The formula for calculating distance is expressed as;
[tex]distance=speed \times time[/tex]
From the formula we can see that:
distance depends on the speed i.e how fast an object is movingdistance also depends on the time taken by the car to travel.From the highlighted point, we can see that the statement given in the question is TRUE that is "the distance covered by a car depends on how fast the car was going and on how long it has travelled"
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1) Which ratio of cups of fruit to cups of
almond milk is shown on the double
number line?
4/3 1/2
How much fruit does Faith use per cup
of almond milk?
cup(s) of fruit per cup of almond milk
Answer:
8/3 or 2 2/3, but I used 8/3
Step-by-step explanation:
got it right :)
Answer:
The answer is 2 2/3 but the fastest way to do it is 8/3.
Can you help me find the constant rate of change? I’m a little confused on how to work it out.
Distributive 7x^2(-x*2-5x)
Answer:
[tex]-49x^3[/tex]
Step-by-step explanation:
[tex]7x^2(-2x-5x)\\7x^2(-7x)\\7*-7(x^2x)\\7*-7x^3\\= -49x^3[/tex]
Compute the matrix of partial derivatives of the following functions.
(a) f(x, y) = (ex, sin(xy)) Drx, y) =
(b) f(x, y, z) = (x-y, y + z) Df(x, y, z) =
(c) f(x, y)-(xy, x - y, xy) Df(x, y) =
(d) rx, y, z) = (x + z, y-42, x-y) Df(x, y, z) =
For a vector-valued function
[tex]\mathbf f(\mathbf x)=\mathbf f(x_1,x_2,\ldots,x_n)=(f_1(x_1,x_2,\ldots,x_n),\ldots,f_m(x_1,x_2,\ldots,x_n))[/tex]
the matrix of partial derivatives (a.k.a. the Jacobian) is the [tex]m\times n[/tex] matrix in which the [tex](i,j)[/tex]-th entry is the derivative of [tex]f_i[/tex] with respect to [tex]x_j[/tex]:
[tex]D\mathbf f(\mathbf x)=\begin{bmatrix}\dfrac{\partial f_1}{\partial x_1}&\dfrac{\partial f_1}{\partial x_2}&\cdots&\dfrac{\partial f_1}{\partial x_n}\\\dfrac{\partial f_2}{\partial x_1}&\dfrac{\partial f_2}{\partial x_2}&\cdots&\dfrac{\partial f_2}{\partial x_n}\\\vdots&\vdots&\ddots&\vdots\\\dfrac{\partial f_m}{\partial x_1}&\dfrac{\partial f_m}{\partial x_2}&\cdots&\dfrac{\partial f_n}{\partial x_n}\end{bmatrix}[/tex]
So we have
(a)
[tex]D f(x,y)=\begin{bmatrix}\dfrac{\partial(e^x)}{\partial x}&\dfrac{\partial(e^x)}{\partial y}\\\dfrac{\partial(\sin(xy))}{\partial x}&\dfrac{\partial(\sin(xy))}{\partial y}\end{bmatrix}=\begin{bmatrix}e^x&0\\y\cos(xy)&x\cos(xy)\end{bmatrix}[/tex]
(b)
[tex]D f(x,y,z)=\begin{bmatrix}\dfrac{\partial(x-y)}{\partial x}&\dfrac{\partial(x-y)}{\partial y}&\dfrac{\partial(x-y)}{\partial z}\\\dfrac{\partial(y+z)}{\partial x}&\dfrac{\partial(y+z)}{\partial y}&\dfrac{\partial(y+z)}{\partial z}\end{bmatrix}=\begin{bmatrix}1&-1&0\\0&1&1\end{bmatrix}[/tex]
(c)
[tex]Df(x,y)=\begin{bmatrix}y&x\\1&-1\\y&x\end{bmatrix}[/tex]
(d)
[tex]Df(x,y,z)=\begin{bmatrix}1&0&1\\0&1&0\\1&-1&0\end{bmatrix}[/tex]
Round each decimal to the place indicated. 9. 275.635 to the nearest tenth 10. 72.789 to the nearest hundredth
Answer:
9.3, 10.79
Step-by-step explanation:
Which is A Prime Number? 7 33 27 63
Answer:
7 is the only prime number
Step-by-step explanation:
7 is a prime number because it has only two distinct divisors: 1 and itself (7). As a consequence, 7 is only a multiple of 1 and 7.
The prime number among the given numbers is 7.
What are Prime Numbers?Prime numbers are positive integers greater than 1 that have no divisors other than 1 and themselves. In other words, a prime number is a number that cannot be evenly divided by any other number except 1 and itself.
We have the numbers as 7, 33, 27 and 63.
The prime numbers are numbers that are divisible only by 1 and themselves, with no other factors.
Among the given numbers, 7 is a prime number because it is only divisible by 1 and 7.
Since 33 is divisible by 1, 3, 11, and 33.
and, 27 is divisible by 1, 3, 9, and 27.
and, 63 is divisible by 1, 3, 7, 9, 21, and 63.
Therefore, the prime number among the given numbers is 7.
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is 4 3/5 rational or irrational?
Answer:
It is rational
Answer:
4 and 3/5? It is irrational
Step-by-step explanation:
Its irrational because it is not a whole number, it includes a fraction, which is not a whole number.
Can anyone help me in less than 5 minutes cuz I’m in school at the moment and still on unit 1 and supposed to be on unit 7 today
If ur available at anytime my number is
Answer:
I think C
Step-by-step explanation:
It has a whole number as numerator and denominator so it is rational and it is a real number, but it is not an integer because it is a fraction.
Answer:
Rational, and Real numbers.
Step-by-step explanation:
There's a certain overlapping sequence of categorizing:
Whole #, Integers, Rational, Real.
Fractions and decimals belong in Rational, so you could say they are real as well.
Hope this helps! (sorry about it being brief)
What is the E shape symbol in mathematics
Answer:
∈ (mathematics) means that it is an element in the set of… For eg... x ∈ ℕ denotes that x is within the set of natural numbers. The relation "is an element of", also called set membership, is denoted by the symbol "∈".
Step-by-step explanation:
Answer:
∈ (mathematics) means that it is an element in the set of… For eg... x ∈ ℕ denotes that x is within the set of natural numbers. The relation "is an element of", also called set membership, is denoted by the symbol "∈".
The parallelogram shown below has an area of 30units^2
30*2
60
again 2(a+b)
2(30+2)
2*32
64
find the missing value 1/2 equals 28 over X
Answer:
x = 56
Step-by-step explanation:
cross multiply. 28 times 2 and 1 times x. set them equal to each other and solve for x to get 56.
Maggie's Bakery bakes the best apple pies. If you decide to make p pies, you need a apples.
Based on this information, what are the independent and dependent variables?
A)
Both pies and apples are independent variables.
B)
Both apples and pies are dependent variables.
C)
The independent variable is pies, and the dependent variable is apples.
D)
The independent variable is apples, and the dependent variable is pies.
Im
Answer:
Option (D)
Step-by-step explanation:
When we make a pie we will need apples.
That means number of pie baked will always depend on the number of apples available or number of apples used.
So the number of apples used will be independent variable.
Since number of pie will always depend on the number of apples used,
Number of pie baked will be a dependent variable.
Therefore, Option (D) will be the answer.
Answer:No the answer is C I just took the test
Step-by-step explanation:
Leo bought jet ski's a couple of years ago. He now wants to sell them. This is an example of Income.
O A. capital gains
OB. earned
OC. hourly
OD. passive
Answer:
D. passive
Step-by-step explanation:
The links of the sides of a triangle are given determine if the triangle is a right triangle if it is identify the hypotenuse
Answer:
I would choose A
Step-by-step explanation:
I chose A because it's an hypotenuse because of the different sides
Create a system and solve: Your AMAZING Algebra 2 teacher took you on a trip to Disneyland. 54 people attended. There was one chaperone for every 5 students. There were 5 more male students than female students. Determine the number of chaperones. I already the know the answer is 9, but i need to know how to get to the answer plz!!!!!!!!
Answer:
Number of chaperones = 9
Step-by-step explanation:
Given:
Total number of teacher = 2
Total people attend = 54
Find:
Number of chaperones
Computation:
Assume;
Number of chaperones = x
So,
x = [54-x] / 5
5x = 54 - x
6x = 54
x = 9
Number of chaperones = 9
Pleasee help on this problem :(
Answer:
How can I help
Step-by-step explanation:
sir you need at least put something there because i can't really see it thank you no thank you
A researcher is conducting an experiment to test a new vitamin supplement. The researcher has recruited 8
participants and must divide them into two groups of 4 people each. One group will receive the supplement, while
the other group will receive a placebo pill.
How many ways can the researcher create the two groups for the experiment?
O2
O 4096
O 32
O 140
Answer:
(C) 32
Step-by-step explanation:
This is a problem of Permutation and Combination, not probability.
This clarification is given because most questions like this are on Probability and Statistics.
The researcher has recruited 8 participants and must divide them into two groups of 4 people each.
So there's:
GROUP A - Placebo Group
GROUP B - Experimental Group
Since the experiment is on humans - distinct objects - they will have distinct identities. Assume the 8 participants are lined up according to identities 1,2,3,4, 5,6,7,8
[2+2+2+2 +2+2+2+2] × 2 = 16×2 = 32
Answer:
D.) 140
Step-by-step explanation:
What is 23,465 rounded to the nearest ten thousand
Answer:
20,000
Step-by-step explanation:
Scince 4, (a number lower than 5) is in front of the 3 (which is in the 10,000's place), 20,000 should be the answer.
HELP 2 math questions 20 points
Answer:
4th option is the answer for first question.
4th option is the answee for second question.
Step-by-step explanation:
please mark me as a brainlist..
Dr. Hernandon believes that time spent playing video games is negatively associated with reading fluency. He asks parents to record the average number of hours their children spend playing video games each day. He compares these hours with scores on the Woodcock-Johnson reading test. His correlation coefficient confirms that as hours playing video games increases, reading fluency decreases. Which correlation coefficient would fit his data?
Options :
A) - 0.89
B.) + 0.34
C.) + 0.89
D.) - 0.34
Answer: A) - 0.89
Step-by-step explanation:
Since Dr. Hernandon has been able to establish that a strong negative relationship exists between the number of hours spent playing video games and reading fluency, hence looking through the options provided, the most suitable will be - 0.89, this is because the negative sign implies a negative correlation or association between the two variables (that is decrease in one leads to a corresponding increase in the other and vice-versa) also, the strength of correlation exists in how close the value of the correlation Coefficient is to 1 or - 1. Values closer to 1 or - 1 are strongly correlated while those closer to zero exhibits a weak association. Correlation Coefficient value of 0 implies that there is no association between both variables.
(-5,7) and (2,5)
find the slope of the line passing through the given points
Answer: -2/7
Step-by-step explanation:
To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{5-7}{2-(-5)} =\frac{-2}{7}=-\frac{2}{7}[/tex]
Now, we know the slope is -2/7.
Which is the graph of the function f(x) = 3x2 + 2x - 6?
Which of the following is irrational?
Answer:
√6
Step-by-step explanation:
The irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.
Simplify the expression: –5(3k − 4)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \bold{ \sf{ - 15k + 20}}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 5(3k - 4)}[/tex]
Distribute -5 through the parentheses
[tex] \longrightarrow{ \sf{ - 5 \times 3k - ( - 5) \times 4}}[/tex]
[tex] \longrightarrow{ \sf{ - 15k - ( - 20)}}[/tex]
[tex] \longrightarrow{ \sf{ - 15k + 20}}[/tex]
Hope I helped!
Best regards! :D
Can someone help me out with this question?
Composition f(g(x)) and g(f(x)) function f and g are shown on the graph. Which statements describe the composition? Check all that apply
Answer:
Step-by-step explanation:
f(g(x) = g(f(x)) for at least one value of x.
The composition of f and g is commutative.
f(g(0)) = 5 and g(f(-2.5)) = 5.
The graphs show that function composition is not commutative.
Answer:
A, C, D, and E
f(g(x)) = g(f(x)) for at least one value of x.
f(g(0)) = 5 and g(f(–2.5)) = 5.
Both f(g(x)) and g(f(x)) have the same domain.
The graphs show that function composition is not commutative.
Step-by-step explanation:
70 is 10 times as much as what
Answer:
Step-by-step explanation:
80
