Answer:
12[tex]x^{3}[/tex]y[tex]x^{4}[/tex]
Step-by-step explanation:
When you multiply numbers with variable terms, each term has to be multiplied by like terms.
3[tex]x^{2}[/tex]y× 4×y[tex]x^{3}[/tex]
Separate the terms.
3 · [tex]x^{2}[/tex] · y × 4 · x · [tex]y^{3}[/tex]
Group the like terms and then multiply them.
( 3 x 4 ) ([tex]x^{2}[/tex] x [tex]x[/tex]) ( [tex]y[/tex] x [tex]y^{3}[/tex])
12 · [tex]x^{3}[/tex] · [tex]y^{4}[/tex]
12[tex]x^{3}[/tex][tex]yx^{4}[/tex]
Hoped this helped :)
if three-fourth of a number is added to 14 gives result less than or equal to 20 .find the number,hense illustrate your answer on a number line
Answer:
x≤8
Step-by-step explanation:
let the number be x
¾x+14≤20
LCM=4
3x+56≤80
3x≤80-56
3x≤24
x≤8
I am unable to add number line here
Dina invests $600 for 5 years at a rate of 2% per year compound interest.
Calculate the value of this investment at the end of the 5 years.
Answer:
The value of this investment at the end of the 5 years is of $662.5.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Dina invests $600 for 5 years at a rate of 2% per year compound interest.
This means that [tex]P = 600, t = 5, r = 0.02, n = 1[/tex]. Thus
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 600(1 + \frac{0.02}{1})^{t}[/tex]
[tex]A(t) = 600(1.02)^t[/tex]
Calculate the value of this investment at the end of the 5 years.
This is A(5). So
[tex]A(5) = 600(1.02)^5 = 662.5[/tex]
The value of this investment at the end of the 5 years is of $662.5.
My sister’s house is 1 2/4 times as high as my house. My house is 5 feet high. How high is my sister’s house?
Answer:
Sister's house is 7.5 feet high
Step-by-step explanation:
Given :
My house = 5 feet
Sisters house = [tex]1\frac{2}{4}[/tex] [tex]times[/tex] [tex]my \ house[/tex]
= [tex]\frac{6}{4} \times 5[/tex]
[tex]=\frac{30}{4}\\\\=\frac{15}{2}\\\\= 7 . 5 \ feet[/tex]
Is 4 over 5 equals 48 over 60 a true proportion?
Answer:
0.8 you yes both of them has the same answer , so it is a true portion
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
[tex]\frac{4}{5} =\frac{48}{60}[/tex]
This is a true proportion because when you cross multiply you get the same product.
[tex]48*5=240[/tex]
[tex]4*60=240[/tex]
Consider the following functions. f(x) = x2, g(x) = x + 9 Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.) Find (g ∘ f)(x). Find the domain of (g ∘ f)(x). (Enter your answer using interval notation.) Find (f ∘ f)(x). Find the domain of (f ∘ f)(x). (Enter your answer using interval notation.) Find (g ∘ g)(x). Find the domain of (g ∘ g)(x). (Enter your answer using interval notat
Answer:
Whe we have two functions, f(x) and g(x), the composite function:
(f°g)(x)
is just the first function evaluated in the second one, or:
f( g(x))
And the domain of a function is the set of inputs that we can use as the variable x, we usually start by thinking that the domain is the set of all real numbers, unless there is a given value of x that causes problems, like a zero in the denominator, for example:
f(x) = 1/(x + 1)
where for x = -1 we have a zero in the denominator, then the domain is the set of all real numbers except x = -1.
Now, we have:
f(x) = x^2
g(x) = x + 9
then:
(f ∘ g)(x) = (x + 9)^2
And there is no value of x that causes problems here, so the domain is the set of all real numbers, that, in interval notation, is written as:
x ∈ (-∞, ∞)
(g ∘ f)(x)
this is g(f(x)) = (x^2) + 9 = x^2 + 9
And again, here we do not have any problem with a given value of x, so the domain is again the set of all real numbers:
x ∈ (-∞, ∞)
(f ∘ f)(x) = f(f(x)) = (f(x))^2 = (x^2)^2 = x^4
And for the domain, again, there is no value of x that causes a given problem, then the domain is the same as in the previous cases:
x ∈ (-∞, ∞)
(g ∘ g)(x) = g( g(x) ) = (g(x) + 9) = (x + 9) +9 = x + 18
And again, there are no values of x that cause a problem here, so the domain is:
x ∈ (-∞, ∞)
This is my last one I’m happy
Answer:
105
Step-by-step explanation:
So, we know the formula is:
D=rt or D=r*t
We only need 2 of the 3 sets of values given in the table, one to find our answer, and the other to double check our answer.
Here are the two sets we can look at:
t=2, d=210
t=3, d=315
Lets plug these in and solve:
210=r*2
Divide both sides by 2 to get r alone:
105=r
Now lets check if this is true by pluggin in 105 for r in the second set, and seeing if it works:
D=r*t
315=105*3
=
315=315
So 105 is our answer.
Hope this helps!
Mr. Arju wishs to purchase a house . to buy the house he needs to make a down payment of nu.300000 and also pay nu.15000 every quarter for the next 8 years. the interest charge is 9% per year compounded quarterly. what is the price of the house?
Answer:
The price of the house is $ 853,735.05.
Step-by-step explanation:
Since Mr. Arju wishes to purchase a house, and to buy the house he needs to make a down payment of $ 300,000 and also pay $ 15,000 every quarter for the next 8 years, if the interest charge is 9% per year compounded quarterly, to determine what is the price of the house, the following calculation must be performed:
300,000 + (15,000 x 12 x 8) = X
300,000 + (180,000 x 8) = X
300,000 + 1,440,000 = X
1,740,000 = X
X x (1 + 0.09 / 4) ^ 8x4 = 1,740,000
X x (1 + 0.0225) ^ 32 = 1,740,000
X x 1.0225 ^ 32 = 1,740,000
X x 2.0381030257737 = 1,740,000
X = 1,740,000 / 2.03810
X = 853,735.05
Therefore, the price of the house is $ 853,735.05.
Tasha needs 75 liters of a 40% solution of alcohol. She has a 20% and a 50% solution available. How many liters of the 20% and how many liters of the 50% solutions should she mix to make the 40% solution?
Answer:
25 liters of 20%
50 liters of 50%
Step-by-step explanation:
x = liters of 50%
75 - x = liters of 20%
50x + 20(75 - x) = 40(75)
50x + 1500 - 20x = 3000
30x = 1500
x = 50
75 - x = 25
Which of the following represents the difference between ten and a number is the sum of eight and a number"?
10 - N(8 + N)
08-N = 10 +N
10 -N = 8+N
9514 1404 393
Answer:
(c) 10 -N = 8 +N
Step-by-step explanation:
The difference between 10 and a number is (10 -N).
The sum of 8 and a number is (8 +N).
In this context, "is" means "equals," so we have ...
10 -N = 8 +N
I NEED HELP WITH THIS, THANKS
9514 1404 393
Answer:
g(x) = 3|x|
Step-by-step explanation:
Each value of g is 3 times the corresponding value of f:
g(x) = 3·f(x)
g(x) = 3|x|
What is the value of f(−2)=2x^3 +3x 2 −39x−20?
Answer:
-65
Step-by-step explanation:
At a school, there are two different math classes for children of the same age. The two classes have different teachers. The school principal is interested in gauging the effectiveness of two different teaching methods and asks each teacher to try one of the methods. At the end of the semester both classes are given the same test and the results are compared.
In this experiment, what is the treatment variable?
Give an example of a variable that could confound the results.
Answer:
Treatment variable = Teaching methods
Confounding variable = Teacher's teaching prowess
Step-by-step explanation:
The treatment variable here is that variable which is applied on the student in other to ovtujba measure of the dependent or response variable, the response variable here is the test score, while the treatment variable is the independent variable, which are the teaching methods.
The confounding variable is that variable which is capable of causing a spurious association in our measurement and also has an effect on the test score. However, this variable isn't taken into account during our experiment. One possible confounding variable could be the Teacher's individual teaching prowess regardless of the teaching method. This could cause the student to get a better grasp of what is being taught by one teacher than the other.
Answer:Treatment variable = Teaching methods
Confounding variable = Teacher's teaching prowess
Step-by-step explanation:
express as a single decimal:4+9/100+6/10
Answer:
4.69
Step-by-step explanation:
4+9/100+6/10
4 is a whole number
9/100 = .09
6/10 = .6
Adding together
4+.09+.6
4.69
Answer:
4.69
Step-by-step explanation:
[tex] \small \: 4 + \frac{9}{100} + \frac{6}{10} \\ [/tex]
[tex] \small4 + \frac{9}{100} + \frac{3}{5} \\ [/tex]
[tex] \small \frac{100 \times 4}{100 \times 1} + \frac{9}{100} + \frac{ 3 \times 20}{5 \times 20} \\ [/tex]
common denominator is 100[tex] \small \frac{400}{100 \times 1} + \frac{9}{100} + \frac{ 60}{100} \\ [/tex]
Add the numerator[tex] \small \frac{400 + 9 + 60}{100 \times1} \\ [/tex]
[tex] \small \frac{469}{100 \times 1} \\ [/tex]
Divide we get
4.69
If a1 = 6 and an=-5an-1 + 4 then find the value of a4. dont have much time please
Answer:
-666
Step-by-step explanation:
a1 = 6
an = -5 an-1 +4
a2 = -5 a1 +4 = -5*6 +4 = -30 +4 = -26
a3 = -5 a2 +4 = -5 (-26) +4 = 130+4 = 134
a4 = -5 a3 +4 = -5 (134) +4 = -670+4 =-666
Consider a circle whose equation is x^2+y^2-2x-8=0. Which statements are true? Select three options.
Answer:
The radius of the circle is 3 units
The center of the circle lies on the x-axis.
The radius of this circle is the same as the radius of the circle whose equation is x^2 + y^2 = 9
Step-by-step explanation:
If someone can pls give the answer with steps that would be greatly appreciated :)
Answer:
D
C
Step-by-step explanation:
One equation must have a slope that is the negative reciprocal of the other equation's slope.
The the sentence I've given you is correct, it is probably a little difficult to understand. Let's use an example
y = 1/2 x + 4
The slope of this line = 1/2
Therefore if you want a negative reciprocal, it would - 2 so y=-2x would be perpendicular to y = 1/2x + 4.
Just to be sure you understand, I'll put the graph of these two equations below.
===================================
So to answer your question
8)
is D. All the others have signs that are the same. They are reciprocals but with signs the same.
9) This is a little harder. You have reciprocals in all of them. But the slope must be positive. So that means that only a and c can be true. A does not go through (4,-1). C does.
y = 1/4 * 4 - 2
y = 1 - 2
y = - 1
So the answer is C
How many liters each of a 25% acid solution and a 50% acid solution must be used to produce 80 liters of a 40% acid solution?
Answer:
32 and 48 litersStep-by-step explanation:
Let 25% solution is x liters, then 50% solution is (80 - x) liters.
Acid content is going to be same:
0.25x + 0.5(80 - x) = 80*0.40.25x - 0.5x + 40 = 320.25x = 8x = 8/0.25x = 32 litersSo 32 liters of 25% solution and 80 - 32 = 48 liters of 50% solution
I need help thanksss
Explanation:
We replace x with x-1 to shift 1 unit to the right. This is because we're making each new input 1 smaller than the old input, which means we're moving the xy axis 1 unit to the left while keeping the f(x) curve fixed in place. That gives the illusion f(x) is moving 1 unit to the right.
The -1 at the end will subtract 1 from the y coordinate and shift everything down by 1 unit.
Answer:
D
Step-by-step explanation:
1 unit Right ³√x-1
unit down (³√x-1)-1
Give an
example of a set of data that has more than one mode.
Answer:
Step-by-step explanation:
To calculate the mode, we simply count the number of times that each value appears in the data set and then find the value that appears most often.
A data set can have more than one mode if there is more than one value with the highest count. For example, both 2 and 3 are modes in the data set {1; 2; 2; 3; 3}.
Example of a set of data having more than one node is {1; 2; 2; 3; 3}.
What is Node?
An example S of the data type node. set is a subset of the nodes of a graph G. S is said to be valid for the nodes of G.
Given,
To calculate the mode, we simply count the number of times that each value appears in the data set and then find the value that appears most often.
Now,
A data set can have more than one mode if there is more than one value with the highest count.
For example, both 2 and 3 are modes in the data set {1; 2; 2; 3; 3}.
Learn more about node,
https://brainly.com/question/32196475
#SPJ2
Susan was posting gifts to her family. She weighed three envelopes before posting them. Geace Envelope A Envelope B Envelope C • Envelope A weighed x grams. Envelope B was 50 grams lighter than Envelope A. • Envelope C was three times as heavy as Envelope A. If the total weight of the three envelopes was 840 grams, write an equation in x and solve it to find the weight of Envelope A. (
Answer:
5x+50
Step-by-step explanation:
you have one x. An x plus fifty. And 3 mire x's. So 5 x's and a 50.
Help me pleaseee i don’t know this
Answer:
the answer is B because y depends on x
2. Tricky Flips sells a coin that promises to land on heads 3 out of every 4 times. If the coin is
flipped 20 times, which of the following is the number of times you should expect it to land
on head
Answer:
15
Step-by-step explanation:
Because 3/4 of 20 or 75% of 20 is 15
A business is interested in employees’ job satisfaction. The regional manager places a name card for every employee into a bowl and randomly selects 10 cards. Which sampling method was used?
cluster sampling
simple random sampling
stratified random sampling
systematic random sampling
Answer:
B
Step-by-step explanation:
Answer: simple random sampling
AKA: B
Step-by-step explanation: guy above me is correct :)
For which pair of functions is the vertex of g(x) 2 units to the right of the
vertex of f(x)?
A. f(x) = x2 and g(x) = x2 + 2
B. f(x) = x2 and g(x) = x2 - 2
c. f(x) = x2 and g(x) = (x + 2)2
D. f(x) = x2 and g(x) = (x - 2)2
Answer:
D
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then shift left by a units
• If a < 0 then shift right by a units
Here the shift is 2 units to the right
Then
f(x) = x² and g(x) = (x - 2)² → D
1. There are 2 schools. Each school has 3 buildings. Each building has 4 floors. Each floor has 5 classrooms. Each classroom has 6 rows of desks. Each row has 7 desks. How many desks are there in the two schools?
: Find the perimeter of the polygon.
Can someone please help
Answer:
36
Step-by-step explanation:
The tangents from the same point are equal. Each point of the triangle extend 2 tangents to the circle.
Tangents from the uppest point: 8+8=16
Tangents from the lowest point: 4+4=8
Tangents from the third point:
10-4=6
6+6=12
Perimeter: 16+8+12=36units
Brainliest please~~
How many ways can five people, A, B, C, D, and E, sit in a row at a movie theater if A and B must sit
together?
Answer:
The total number of ways A, B, C, D, and E can sit together is 5
Step-by-step explanation:
An elevation of - 12 m is higher than an elevation of -17 m. An elevation of - 17 mis lower than an elevation of -14 m. Which set of inequalities correctly
expresses these relationships?
-12-17 and -17<-14
-12-17 and -17 > -14
-12<-17 and -17 < -14
-12-17 and -17 > -14
help plss
Given:
An elevation of - 12 m is higher than an elevation of -17 m.
An elevation of - 17 m is lower than an elevation of -14 m.
To find:
The set of inequalities that correctly expresses these relationships.
Solution:
An elevation of - 12 m is higher than an elevation of -17 m.
We know that, higher than means greater than and it is represented by the inequality ">". So,
[tex]-12>-17[/tex]
An elevation of - 17 m is lower than an elevation of -14 m.
We know that, lower than means less than and it is represented by the inequality "<". So,
[tex]-17<-14[/tex]
Therefore, the required set of inequalities is [tex]-12>-17[/tex] and [tex]-17<-14[/tex].
Note: The inequality signs are not proper in the options.
The graph below shows a proportional relationship between x and y. What is the constant of proportionality,
y/x?
Answer:
0.5
Step-by-step explanation:
you just need see at one point. i see at point (1, 0.5)
Use the frequency distribution to construct a histogram. Using a loose interpretation of the requirements for a normal distribution, does the histogram appear to depict data that have a normal distribution? Why or why not?
Answer: hello the complete question is attached below
answer:
Histogram B is the right histogram
Yes it approximately depict data that have a normal distribution
Step-by-step explanation:
The histogram when plotted is symmetric which means/depicts that the data provided have a normal distribution ( approximately )
A histogram is one of the graphical ways of representing data for easy reading and interpretation.