Answer:
Sum of ages is 35
Since there are two persons and it says four years from now, each year 2 more years will be added on to the 35 so year 1: 2years Year 2:4years Year 3:6years Year 4 : 8years
35+8= 43
Remember that Melanie will be 5 years older ( which she should have already been)
so 43+5= 48 ( Melanie's age)
and 48-5 = 43 ( Her brother's age)
Select the two categories that would yield quantitative data.
a.) gender of pet
b.) weight of pet
c.) color of pet
d.) type of pet
e.) age of pet
Weight of pet & age of pet are the two categories that would yield quantitative data.
What foundation does qualitative data have?
Information that cannot be quantified, counted, or simply stated using numbers is referred to as qualitative data. Data visualization technologies like word clouds, idea maps, graph databases, timelines, and infographics are used to communicate the information that is gathered from text, audio, and visual sources.Which two sorts of quantitative data are there?
There are two forms of quantitative data: discrete data and continuous data. Interval and ratio data are subsets of continuous data. Quantitative data consists of numerical values and their associated numerical attributes.Weight of pet & age of pet are the two categories that would yield quantitative data because both quantity can measured or counted.
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50 PoInts for math homework Waxton
1/3 x =5 solved, please help me if anyone can! :)
Does the figure below appear to have line symmetry if so how many lines of symmetry
I need help with this asap
The function rules for each of the given tables are;
11) f(x) = 4x
12) f(x) = x - 3
13) f(x) = x + 12
14) f(x) = x/10
15) This doesn't have a function rule.
16) Function rule here is non existent
How to state the required function rule?
11) In this table, we can observe that the output values are all four times the input value. Thus, the function rule here is;
f(x) = 4x
12) In this table, we can observe that the output values are all 3 units less than the input value. Thus, the function rule here is;
f(x) = x - 3
13) In this table, we can observe that the output values are all 12 units more than the input value. Thus, the function rule here is;
f(x) = x + 12
14) In this table, we can observe that the output values are equal to the input value divided by 10. Thus, the function rule here is;
f(x) = x/10
15) This doesn't have a function rule as the values don't match a pattern
16) Function rule here is non existent
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One hundred and five students see a play. Each ticket costs $45. What is the total amount the students spend for tickets? Use mental math.
Answer:
4725
Step-by-step explanation:
105 students
think of 100 students
100 × 45 = 4500
now the remaining 5 students
cost for 10 students will be
45 × 10 = 450
divide 450 by 2 to find out for 5 students
it is 225
4500 + 225 = 4725
Find a general solution. show the steps of derivation. check your answer by substitution.y'=e^(2x-1)y^2
The general solution of the given equation is y² = 8x²Inx + cx².
Linear first order differential equation:A first-order linear differential equation is one that has the formula:
[tex]\frac{d y}{d x}+p(x) y=q(x)[/tex]
where p(x) and q(x) are continuous functions of x.
We begin by determining the integrating factor for the first-order linear differential equation.
I.F. = [tex]e^{\int p(x) d x}[/tex]
The solution to the first order linear differential equation is:
[tex]y \cdot e^{\int p(x) d x}=\int q(x) \cdot e^{\int p(x) d x} d x+c .[/tex]
Where c is the constant of integration.The solution to the first order linear differential equation is:
[tex]\int \frac{1}{x} d x=\ln x+c[/tex]
Where c is the constant of integration.So, given: [tex]y^{\prime}=\frac{\left(4 x^2+y^2\right)}{(x y)}[/tex]
The above differential equation can be written as:
[tex]\begin{aligned}&\frac{d y}{d x}=4 \frac{x}{y}+\frac{y}{x} \\&\frac{d y}{d x}-\frac{y}{x}=\frac{4 x}{y} \\&y \frac{d y}{d x}-\frac{y^2}{x}=4 x\end{aligned}[/tex]
Substitute, [tex]y^2=t, 2 y \frac{d y}{d x}=\frac{d t}{d x}[/tex].
[tex]\begin{aligned}&\frac{1}{2} \frac{d t}{d x}-\frac{t}{x}=4 x \\&\frac{d t}{d x}-\frac{2 t}{x}=8 x\end{aligned}[/tex]
Because this is a first-order linear differential equation, we must first determine the integrating factor:
[tex]\text { I. F. }=e^{-2 \int \frac{1}{x} d x}=e^{-2 \ln x}\\\text { I.F. } F=\frac{1}{x^2}[/tex]
As a result, the following is the general solution to the given IVP:
[tex]$$t \cdot(I . F .)=\int(I . F .) \cdot 8 x d x+c$$$t \cdot\left(\frac{1}{x^2}\right)=\int\left(\frac{1}{x^2}\right) \cdot 8 x d x+c$$t \cdot\left(\frac{1}{x^2}\right)=8 \int \frac{1}{x} d x+c$$t \cdot\left(\frac{1}{x^2}\right)=8 \ln x+c$$t=8 x^2 \ln x+c x^2$[/tex]
By reversing the value of t:
[tex]y^2=8 x^2 \ln x+c x^2[/tex]
We now test the solution by substituting [tex]y^2=8 x^2 \ln x+c x^2[/tex] it in the original differential equation.
[tex]\begin{aligned}&\frac{d}{d x}\left(y^2\right)=\frac{d}{d x}\left(8 x^2 \ln x+c x^2\right) \\&2 y \frac{d y}{d x}=16 x \ln x+8 x+2 c x \\&\frac{d y}{d x}=\frac{16 x \ln x+8 x+2 c x}{2 y} \\&\frac{d y}{d x}=\frac{8 x \ln x+4 x+c x}{y}\end{aligned}[/tex]
We calculated the value of [tex]y^2[/tex] and [tex]\frac{d y}{d x}[/tex] from the original differential equation:
[tex]\begin{aligned}&\frac{8 x \ln x+4 x+c x}{y}=\frac{4 x^2+8 x^2 \ln x+c x^2}{x y} \\&8 x \ln x+4 x+c x=8 x \ln x+4 x+c x .\end{aligned}[/tex]
Therefore, the general solution of the given equation is y² = 8x²Inx + cx².
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The complete question is given below:
For the following ODE, find a general solution, show the steps of derivation and check your answer by substitution.
[tex]y^{\prime}=\frac{\left(4 x^2+y^2\right)}{(x y)}[/tex]
What is equivalent to —4 —9
[tex]- 4 - 9 = - 13[/tex]
1. solve 2r = 5s/2 - s/4 for s
2. If r =9/2, find s
1. Solve w = x/y - z solve for x
2. If w = -8 y = -5 z = 6 find x
Answer:
[tex]\textsf{1.} \quad s=\dfrac{8r}{9}[/tex]
[tex]\textsf{2.} \quad s=4[/tex]
[tex]\textsf{1.} \quad x=y(w+z)[/tex]
[tex]\textsf{2.} \quad x=10[/tex]
Step-by-step explanation:
Question 1
1. Solve for s:
[tex]\implies 2r = \dfrac{5s}{2}-\dfrac{s}{4}[/tex]
[tex]\implies 2r = s\left(\dfrac{5}{2}-\dfrac{1}{4}\right)[/tex]
[tex]\implies 2r = s\left(\dfrac{10}{4}-\dfrac{1}{4}\right)[/tex]
[tex]\implies 2r = s\left(\dfrac{9}{4}\right)[/tex]
[tex]\implies 4(2r) = 9s[/tex]
[tex]\implies 8r = 9s[/tex]
[tex]\implies s=\dfrac{8r}{9}[/tex]
2. When r = ⁹/₂ :
[tex]\implies s=\dfrac{8\left(\frac{9}{2}\right)}{9}[/tex]
[tex]\implies \dfrac{8}{9} \times \dfrac{9}{2}[/tex]
[tex]\implies \dfrac{8 \times9}{9 \times2}[/tex]
[tex]\implies s=\dfrac{72}{18}[/tex]
[tex]\implies s=4[/tex]
Question 2
1. Solve for x:
[tex]\implies w=\dfrac{x}{y}-z[/tex]
[tex]\implies w+z=\dfrac{x}{y}[/tex]
[tex]\implies y(w+z)=x[/tex]
[tex]\implies x=y(w+z)[/tex]
2. When x = -8, y = -5, z = 6:
[tex]\implies x=-5(6+(-8))[/tex]
[tex]\implies x=-5(6-8)[/tex]
[tex]\implies x=-5(-2)[/tex]
[tex]\implies x=10[/tex]
help me out!(with explanation)
Answer:
a) 512cm³ b) 2 × 2 ×2
Step-by-step explanation:
A CUBE'S LENGTH WIDTH AND HEIGHT ARE EQUAL
a) Volume of a cube = length × width × height
as the length width and height are equal so it will be
8 × 8 × 8 = 512
b) Volume of a cube = length × width × height
as length, width and height are equal lets suppose the value of each of them will be = x
volume = x × x × x
vol = x³
8 = x³
∛8 = x
x = 2
can someone help me solve this problem?
Answer:
no
Step-by-step explanation:
x=5
5(5+2)=35
8(5)-3=37
37 does not equal 35
[tex]Answer: Q\ is\ not\ midpoint\ of\ \overline {PR}[/tex]
Step-by-step explanation:
[tex]\displaystyle\\\overline {PQ}+\overline {QR}=\overline {PR}\\5(x+2)+(8x-3)=72[/tex]
Expand the parentheses on the left side of the equation:
x(5)+2*(5)+8x-3=72
5x+10+8x-3=72
13x+7=72
13x+7-7=72-7
13x=65
Divide both parts of the equation by 13:
x=5
Hence,
5(5+2)=
5(5)+2(5)=
25+10=
35
8(5)-3=
40-3=
37
35≠37
Explain the difference between solving an equation with the variables all on one side compared to equations with variables on both sides.
An equation having variables on both sides can be solved by bringing all variables to one side.
An equation with all variables on one side can be solved by simply keeping the variables on the left and simplifying the value on the right. For example,
5x = 6 + 2x;
3x = 6;
x = 2.
For an equation with variables on both sides, just bring all variables on one side. After that, the same process like above is to be followed. For example,
5y - 3 - 3y = 3y + 5 - 3y;
5y - 3y - 3y + 3y = 5 + 3;
2y = 8;
y = 4;
Thus, methods for solving both kinds of equations is similar.
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An equation having variables on both sides can be solved by bringing all variables to one side.
An equation with all variables on one side can be solved by simply keeping the variables on the left and simplifying the value on the right. For example,
5x = 6 + 2x;
3x = 6;
x = 2.
For an equation with variables on both sides, just bring all variables on one side. After that, the same process like above is to be followed. For example,
5y - 3 - 3y = 3y + 5 - 3y;
5y - 3y - 3y + 3y = 5 + 3;
2y = 8;
y = 4;
Thus, methods for solving both kinds of equations is similar.
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3. the difference of two-thirds of a number x and
6 is at least -24. which inequality represents all
possible values for x?
The inequality which represents all the possible values for x is (2x/3) - 6 ≥ 24.
It is given in the question that the difference of two-thirds of a number x and 6 is at least -24.
We have to find the inequality which represents all the possible values for x.
In mathematics, Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Hence, according to the data given in the question, we can write,
(2x/3) - 6 ≥ 24
Here, we can also find the possible values of x.
(2x/3) - 6 ≥ 24
2x/3 ≥ 24 + 6
2x/3 ≥ 30
x ≥ 30*3/2
x ≥ 45
Hence, every number greater than or equal to 45 will be a possible value of x.
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the amount of water in the cooler w dropped by 37 cups during the day at work site, ending at 15 cup. Write an equation to represent this situation. then solve the equation for w to determine the amount of water in the cooler at the beginning of the day
Will mark brainly-est. Please Help me with this Geometry question.
What is the domain and range of the function below?
11. The following describes the United States nuclear stockpile from
1944 to 1974. From 1944 to 1958, there was a gradual increase in the
number of warheads from 0 to about 5000. From 1958 to 1966, there
was a rapid increase in the number of warheads to a maximum of
about 32,000. From 1966 to 1970, there was a decrease in the number
of warheads to about 26,000. Finally, from 1970 to 1974, there was
a small increase to about 28,000 warheads. Sketch a graph of the
function.
10.
nxhudkdodisuhaiioavsbos
How to right 730,812 in word form
Step-by-step explanation:
seven-hundred thirty thousand eight-hundred twelve
What lines would you use to solve –3x – 2 = 2x + 8? Graph the line for the left side of the equation. Graph the line for the right side of the equation.
Answer:
See attached graph for lines
Left side line is y = -3x-2
Right side line is y = 2x + 8
Point of intersection is at (-2,4)
Step-by-step explanation:
The line graphs are attached
The solution for (x, y) is the point of intersection of the two lines
This is at point (2,4)
We can also solve this algebraically by solving first for x and then y
–3x – 2 = 2x + 8
The two line equations are
y = -3x - 2 and y = 2x+8
3x – 2 = 2x + 8
==> 3x -2x - 2 = 2x-2x + 8 (subtract 2x on both sides)
==> -5x -2 = 8
==> -5x -2 + 2 = 8 + 2 (add 2 on both sides to isolate the x term)
==> -5x = 10==> -5x/5 = 10/5 (divide by 5 both sides)
==> x = -2
Plug this value of x into the RHS giving
y = 2(-2) + 8 ==> y = -4 + 8 ==> y = 4
So (-2,4) is the point of intersection of the two lines and is consistent with the point of intersection on the graph
An inductive proof that p(n) is true for all n always starts with the base case. what is the base case?
The base case for which the inductive proof for p(n) is defined, is the smallest value of n for which p(n) is defined.
What is Mathematical Induction?Mathematical induction refers to a strategy for demonstrating a theorem's correctness by first demonstrating that, if it holds true in one particular situation, it will also hold true in all subsequent cases in the series.
Now,
The proof of mathematical induction is based upon showing the given expression true for one value, assuming that it will be true for some other value and finally proving that it will be true for all the values.The base case is the proof for which the expression is showed to be true in the beginning.In general cases, this initial value is 1 when the expression is defined for the values of variables belonging to Natural Numbers, i.e., the proof starts by showing that the given expression is true for the value of variable = 1.Hence, the base case for which the inductive proof for p(n) is defined, is the smallest value of n for which p(n) is defined.
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Different plans are available from two cellphone carriers. AT&K charges a monthly flat rate of $100 plus $10 for each gigabyte of data used,verikon communications does not have a flat rate, but instead charges $40 for each gigabyte of data used let c represent your total cost and d represent the data used. What is the equation system that represents these two plans
The equation system to represent these two plans is:
c=100+10d, c=40d where c is the total cost and d represents the data used.
We have to understand the plans provided by AT&K and Verikon separately to find the equation system. We know that the total cost incurred is c and the amount of data used is d. It is given that AT&K charges a monthly flat rate of $100 and additional $10 for every gigabyte of data used. We can say that for a month the total cost incurred from AT&K is $100 plus $10xd, the amount of data used.
c=100+10d
For verikon it is given that it does not have any flat monthly rate and it charges $40 for each gigabyte of data used.We can easily say that the total cost in this case is $40 multiplied to amount of data used.
c=40d
Thus the system of equation for the two different plans is
c=100+10d and c=40d
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50 pts to whoever solves this for me
The basketball team sells packages of licorice for $5 per package and bags of
M&M's for $8 per bag. The team sells a total of 240 of both for a total of $1614.
Find the number of packages of licorice and bags of M&M's they sold.
Answer:
The basketball team sells packages of licorice=Rs.5 per packageM&M's for =Rs.8 per bag
Both team sells a total 240 of a total of Rs.1614
Now
The total of both =1614-240=1374
The basketball team sold 102 packages of licorice and 138 bags of M&M's.
Given that the packages of licorice sold for $5 per package and that of the bags of M&M's for $8 per bag.
The total selling was total of 240 of both for a total of $1614.
We need to find the number of packages of licorice and bags of M&M's were sold.
Let's assume that the number of packages of licorice sold is represented by the variable "L" and the number of bags of M&M's sold is represented by the variable "M."
From the given information, we have two pieces of information to form equations:
The total number of packages and bags sold: L + M = 240
The total revenue from selling these items: 5L + 8M = 1614
Now, we can solve these two equations simultaneously to find the values of L and M.
First, let's solve the first equation for one of the variables (let's solve for L):
L = 240 - M
Now, substitute this expression for L in the second equation:
5(240 - M) + 8M = 1614
Now, distribute the 5:
1200 - 5M + 8M = 1614
Combine the M terms:
3M = 1614 - 1200
3M = 414
Now, solve for M:
M = 414 / 3
M = 138
Now that we know the value of M, we can find the value of L using the first equation:
L = 240 - M
L = 240 - 138
L = 102
So, the basketball team sold 102 packages of licorice and 138 bags of M&M's.
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You roll two (standard, six-sided) dice. What is the probability that you do not roll "double sixes"?
(7x-11) (6x-1) find the value of x
Answer:
Hey!
Since we know that both expressions lay on a straight line, we know that when both lines add up it should be 180°
We can write the expression as (7x - 1) + (6x - 1) = 180
Simplify
→ (7x + −1) + (6x + −1) = 180
Combine Like Terms
→ (7x + 6x) + (-1 + -1) = 180 → 13 + -2 = 180
Add 2 To Both Sides
→ 13x - 2 + 2 = 180 + 2 → 13x = 182
Divide 13 To Both Sides
13x/13 = 182/13 → x = 14
Hence, the value of x is 14!
-------------------------------------------------
Hope This Helped! Good Luck!
Given f(n) = 7n - 5
Evaluate f(-2)
Answer:
[tex]{ \tt{f(n) = 7n - 5}} \\ { \tt{f( - 2) = 7( - 2) - 5}} \\ { \tt{f( - 2) = - 14 - 5}} \\ { \tt{f( - 2) = - 19}}[/tex]
3/4x+8<41 graph it as well
Answer:
x<44
Step-by-step explanation:
(6/7x-2/3)+3/5(5/8x-6/7)
Answer:
Step-by-step explanation:
1035x-992/840
Substitute the expressions for length and width into the formula 2l 2w. distribute 2 to each term in the parentheses. combine like terms. inches
The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6
What is perimeter of the rectangle?
The formula P=2l+2w, where l is the rectangle's length and w is its width, determines the perimeter P of a rectangle. The equation A=lw, where l is the length and w is the width, determines the area A of a rectangle.The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x+ 6
The formula for calculating the perimeter of a rectangle is expressed as:
P = 2( l + w)
Given the following parameters
length l = 8x - 1
width w = 2x + 4
Substitute the expressions for the length and width into the formula;
P = 2(8x - 1 + 2x + 4)
P = 2(10x + 3)
Distribute 2 over each term in the parenthesis
P = 2(10x) + 2(3)
P = 20x + 6
Hence the perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6.
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The complete question is -
The perimeter formula for a rectangle is 2l + 2w, where l is the length and w is the width. Complete the steps to find an expression that represents the perimeter of the rectangle. Substitute the expressions for length and width into the formula 2l + 2w. Distribute 2 to each term in the parentheses. Combine like terms. inches
Small, random genetic changes that occur over generations is known as _________.
Small, random genetic changes that occur over generations is known as genetic drift.
What is genetic drift?Genetic drift is an evolutionary process in which the frequency of a given gene allele varies randomly across a population. The impacts of genetic drift can be severe, often causing traits to become excessively common or to vanish from a community, even though it predominantly affects small, isolated populations.
Some people might merely by coincidence leave behind a few more offspring (and genes, of course!) than others in each generation. The next generation's DNA and other genetic components will come from the "fortunate" people, not necessarily the healthier or "better" people.
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