Answer:
(10-x)GB
Step-by-step explanation:
Music=10-x, simple arithmetic
the first three terms of an arithmetic progression are m,12 and n . Find the value of m+n
===========================================
Explanation:
There are a few approaches. Here's one way to solve.
Let d be the common difference between the terms.
We add d to each term of this arithmetic sequence to get the next term.
First term = mSecond term = 12 = m+dThird term = n = (m+d)+d = m+2dFocusing on the second equation, we can solve for d like so
m+d = 12
d = 12-m
This is then plugged into the third equation
n = m+2d
n = m+2(12-m)
n = m+24-2m
n = 24-m
Therefore,
m+n = m+(24-m) = 24
It turns out that it doesn't matter what m and n are because m+n is always equal to 24 in this case.
-----------------
A more concrete example:
Let's say m = 2. We won't set up n just yet but we'll be able to compute it fairly soon.
Since m = 2, this means d = 12-m = 12-2 = 10. This is the gap between adjacent or neighboring terms.
If d = 10, then the third term must be n = 12+d = 12+10 = 22
We can then see that m+n = 2+22 = 24
-----------------
I'll do another example:
m = 5
d = 12-m = 12-5 = 7
n = 12+d = 7 = 19
m+n = 5+19 = 24
Whenever in doubt, or if you get stuck, it helps to come up with actual numeric values to hopefully clear things up.
-----------------
An alternative way to get the answer:
Let's try to determine what m+n is actually saying. We have 12 right in the middle of the first term (m) and third term (n). Because the gap between the numbers is the same (that being d), we know that 12 is the midpoint of m and n. It might help to draw out a number line to see what's going on.
The midpoint of m and n is (m+n)/2
Set this equal to 12 and isolate the "m+n"
(firstTerm+thirdTerm)/2 = second term
(m+n)/2 = 12
m+n = 2*12
m+n = 24
So in general, if the first three terms of the arithmetic sequence are m, k, n, then m+n = 2k.
Evelyn earned a score of 86 on Exam A that had a mean of 71 and a standard deviation of 20. She is about to take Exam B that has a mean of 550 and a standard deviation of 40. How well must Evelyn score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed.
Answer:
580
Step-by-step explanation:
Assuming that the answer should be in terms of z scores, we can calculate the z score as
z = (observed value - mean)/(standard deviation)
For the first exam, the observed value is 86, the mean is 71, and the standard deviation is 20. The z score fot that exam is
z = (86-71)/20 = 0.75
Then, for the second exam, Evelyn has to do equivalently well, so the z score must be the same. Therefore, we have
0.75 = (observed score - 550)/40
multiply both sides by 40 to remove a denominator
0.75 * 40 = observed score - 550
add 550 to both sides to isolate the observed score
0.75 * 40 + 550 = observed score = 580
A rectangular box contain 782 apples. If there are 23 rows in a box, how many columns are there?
Answer:
34
Step-by-step explanation:
This is because you will have to simply divide 782 by 23.
782 / 23 =
34 :D
One model of Earth's population growth is P(t)= 64/(1+11e^0.8t)
where t is
measured in years since 1990, and P is measured in years since 1990, and Pis measured in billions of people. Which of the following statements are true? Check all that apply.
Answer: C and D
Step-by-step explanation:
Using the logistic equation, it is found that options C and D are correct.
The logistic equation for population growth is given by:
[tex]P(t) = \frac{K}{1 + Ae^{-kt}}[/tex]
[tex]A = \frac{K - P(0)}{P(0)}[/tex]
In which:
K is the carrying capacity. P(0) is the initial value. k is the growth rate, as a decimal. The population grows exponentially for a while, but as it gets closer to the carrying capacity, the growth slows down.For this problem, the equation is:
[tex]P(t) = \frac{64}{1 + 11e^{-0.08t}}[/tex]
Which means that:
The carrying capacity is of 64 billion people, as [tex]K = 64[/tex].The growth rate is of 8% per year, but it is not steady.The initial population, in millions of people, is of [tex]P(0) = \frac{64}{1 + 11} = 5.3[/tex].Hence, options C and D are correct.
To learn more about the logistic equation, you can check https://brainly.com/question/25697660
Maya is learning to drive, so this weekend she practiced driving 1/2 of a mile with her mother and another 3/4 of a mile with her father. How far did Maya drive in all?
Step-by-step explanation:
1/2 + 3/4
= 2/4 + 3/4
= 5/4
= 1 and 1/4 miles
Write an equation of the graph (shown below) in slope intercept form.
Answer:
Step-by-step explanation:
Okay! so first, let's specify the components of a slope intercept form equation.
We got y=mx+b as a general formula, where m is slope and b is the y intercept.
The graph gives us two points on the line at (0, 5) and (-6, 7)
To find slope, we can use this slope equation. I suggest you memorize it-it helps a lot with future problems!
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
Plugging in the points into the equation, we get 2/-6, or -1/3
we really don't need to do much work anymore, since the choices are given. There is only one choice left with -1/3 as slope m, which is D.
The y intercept can be found at wherever the line intersects the y axis. In this line, it crosses 5, which means b=5.
y=mx+b
y=-1/3x+5
What is 3x^2-5x-13=0
Answer:
D. 58
Step-by-step explanation:
Given, 3x+8x+4x=6x+63
⇒15x=6x+63
⇒9x=63
⇒x=7
Then 5x+23=5(7)+23
=35+23
=58
1+2+6+1+4+45+7474747448489
Answer:
7474747448548
Step-by-step explanation:
I hope this helps
6
с
2
3.
43
In the figure, which angle has the same measure as 22?
A. 21
B. 23
C. 24
D. 25
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!! Determine the Value of K in the diagram ( secant lines to circles).
Answer:
k = 10Step-by-step explanation:
According to intersecting secants theorem we have the following equation:
3x*(3x + 5x) = 2x*(2x + kx)Solve it for k:
3x*8x = 4x² + 2kx²24x² = (4 + 2k)x²24 = 4 + 2k20 = 2kk = 10a(b^2+c^2+bc) + b(c^2+a^2+ca) + c(a^2+b^2+ab)
Answer:
(a-b)(b-c)(a-c)
Step-by-step explanation:
a^2(b - c) + b^2(c-a) + c^2(a - b)
= a^2b - a^2c + b^2c - b^2a + c^2a-c^2b
=a^2b - b^2a - a^2c + b^2c + c^2a -c^2b
= ab(a - b) - c(a^2 - b^2) +c^2(a - b)
=ab(a - b) -c(a - b)(a + b) +c^2(a - b)
=(a - b)(ab - c(a + b) +c^2)
=(a - b)(ab - cb -ca + c^2)
= (a - b)(b(a-c) -c(a-c))
=(a-b)(b-c)(a-c)
Inverse proportion
it takes 3 hrs for two people to clean six identical rooms.
how long would it take 5 people to clean 20 of the same rooms at the same k rate
i know answer need explan.
Answer:
Hello,
4 hours
Step-by-step explanation:
Let say w the work clean one room.
h the number of hours worked
p the number of people who works
k is a constant
6w=k*h*p
3 h, 2 p==> 6w
6w=k*3*2 ==> k=w
5 p, 20 w ==>
20w=k*h*p
20w=w*h*5
20=h*5
h=20/5
h=4
It will take 4 hours.
A student must find the slope of a line that passes through the points (2.2) and (-1, 3). Which of the statements
below best applies to the sample mathematical work?
Given the points above, I plug these values into the formula y2 -x1/ x2-x1 which yields the expression -1-2/3-2 , which gives a slope of -3.
А. the formula for the slope of the ne is incorrect
B. the student failed to plug in the proper values into the slope formula
C the numeric calculation to find the slope is incorrect
D. the mathematical work shown is correct
Answer:
A
Step-by-step explanation:
the formula of the slope is (y2 - y1)/(x2 - x1)
slope = (3-2)/(-1-2) = 1/(-3) = -1/3
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Data should be analyzed using each of the following except:
A. measures of central tendency
B. shape
C. population size
D. spread
after allowing a 15% discount on the Marked price of a radio becomes rupees 1997 find the Marked price of the radio
Answer:
after discount sales price is rs 1997 which is 85 % of market price the market price = 1997/85×100 = 2350 ans.
Two sides of a right triangle measure 5 inches and 6 nches, and the third side measures 61 inches.
The length of the third side is about
inches _ . The perimeter of the triangle is about
inches. __
Answer:
The length of the third side is 7.81 inches and the perimeter of the triangle is about 18.81 inches
Step-by-step explanation:
Triangle ABC with vertices A(-4, 2), B(4,7), and
C(5, 1) in the x-axis.
A’
B’
C’
D’
9514 1404 393
Answer:
A'(-4, -2), B'(4, -7), C'(5, -1)
Step-by-step explanation:
Reflection in the x-axis changes the sign of each y-coordinate.
(x, y) ⇒ (x, -y)
A(-4, 2) ⇒ A'(-4, -2)
B(4, 7) ⇒ B'(4, -7)
C(5, 1) ⇒ C'(5, -1)
Three consecutive integers have a sum of -42. Write and solve an equation to find the three integers.
x + ( x + 1 ) + ( x + 2 ) = -42
Opening the brackets and simplifying :
x + x + 1 + x + 2 = -42
3x + 3 = -42
Now , solving equation :
[tex]\bf \rightarrow \: \:3x \: + \: 3 \: = \: -42[/tex]
[tex]\bf \rightarrow \: \: 3x \: = \: -42 \: - 3[/tex]
[tex]\bf \rightarrow \:3x \: = \: -45 \: [/tex]
[tex]\bf \rightarrow \:x \: = \: \frac{ - 45}{ \: 3} \\ [/tex]
[tex]\bf \rightarrow \:x \: = \: \cancel\frac{ - 45}{ \: 3} \: \: ^{ - 15} \\ [/tex]
[tex]\bf \rightarrow \:x \: = \: - 15[/tex]
[tex]{\boxed{ \Large{ \red{ \rm{ \underline{ Now \: \: substitute}}}}}}[/tex]
[tex]\bf \implies \: \:x \: = \: - 15[/tex]
[tex]\bf \implies \: \:x \: + \: 1 \: = \: - 15 \: + \: 1 \: = \: - 14[/tex]
[tex]\bf \implies \: \:x \: + \:2 \: = \: - 15 \: + \: 2 \: = \: - 13[/tex]
-15 , -14 and -13 are the three consecutive integers.
Help please fast geometry surface area!
Answer:
SA=2πrh+2πr2=2·π·12·3+2·π·122≈282.7cm2
The perimeter of a rectangle is given by the formula P=2w+2l,where w is the width and l is the length.Rearrange the formula for the length ( ).
Answer:
l = (p - 2w)/2
Step-by-step explanation:
B. Jennifer needs new trim around the base boards.
How much trim does she need?
What assumptions do you make?
The population of a large U.S. city is 2,707,210. Which of the following best expresses this population?
A 2.7 × 106 C 2.707 × 106
B 2.7 × 107 D 27.07 × 106
Answer:
2.707 * 10^6
i think it is the best expression
please solve it
find the value of x
Answer:
The measure of angle x is 25 degrees.
Step-by-step explanation:
Since triangle ABC is an isosceles triangle, the measure of angle BAC is equal to the measure of angle ACB. Angle ABC = 80 degrees, leaving 100 degrees to be divided equally for the measures of the other two angles. Now that you know that angle ACB = 50 degrees, you can calculate the value of angle ACD and determine that angle ACD = 130 degrees. Triangle ACD is also an isosceles triangle, and the two equal legs are AC and CD. Since angle ACD = 130 degrees, the other two angles have a total of 50 degrees. Splitting the 50 degrees equally between the two angles gives you 25 degrees as the value of angle CAD, which is labeled "x."
Use the quadratic formula to find the solutions to the quadratic equation below. Check all that apply. 5x2-X-4 = 0 A. -4/5 B. 5/4C. 2/3 D. 1 E. -1 F.3/2
Hi
5x²-x-4 = 0
Δ= (-1)² - 4*5*(-4)
Δ = 1 -4*-20
Δ = 1 +80
Δ = 81
√Δ= 9
as Δ ≥ 0 , so 2 solutions exist in R
S1 is : ( 1+9) /2*5 = 10/10 = 1
s2 = (1 -9)/2*5 = -8/10 = -4*2 /2*5 = -4/5
Corrects answers are A and D
Answer:
A. -4/5 And D. 1
Step-by-step explanation:
i just got it right
**URGENT PLEASE HELP**
Find g(x), where g(x) is the translation 2 units right and 13 units down of f(x) = -2x + 5.
Answer:
g(x)=x+9
Step-by-step explanation:
When translating a graph, adding the number of units shifts the graph to the left and subtracting the number of units shifts it to the right. Since you need the graph translated 9 units to the left, you will need to add that many units to x
therefore, g(x)=x+9
Answer:
g(x)=x-8
Step-by-step explanation:
-2+2 = 0, so g(x) = x
5-13 = -8
[tex]\sqrt{\\\frac{9+\sqrt{17} }{2}[/tex]
[tex]\huge\underline\pink{✏ANSWER}[/tex]
Hello and sorry but it's a Gatheted Question Can you fix it Can you?Sorry for answering a nonsense
#BrainliestBunch
[tex]\frac{3}{2x}[/tex]-[tex]\frac{11}{5}[/tex]=[tex]\frac{7}{8}[/tex].[tex]\frac{64}{49}[/tex]
Answer:
x=35/78
Step-by-step explanation:
3/2x-11/5=(7/8)*(64/49)
3/2x-11/5=8/7
3/2x=8/7+11/5
3/2x=117/35
x=(35*3)/(2*117)
x=35/78
Amy bakes and sells cupcakes out of her home. She uses baking pans that hold 12 cupcakes and 36 cupcakes to fill her orders. Amy needs to fill her biggest order of 504 cupcakes for a special event.
a. Write an equation to represent the number of 12-cup and 36-cup baking pans for her
order.
b. Amy needs to use a combination of the 12-cup and 36-cup baking pans to fill the order. With only eighteen 12-cup baking pans in her shop, how many of the 36-cup baking pans does she need to complete the order?
Answer:
Below
Step-by-step explanation:
a) let's say that x represents the number of 12 pan cupcakes and y represent the number of 36 pan cupcakes. For her larger order she needs 504 cupcakes so that is the total. This can be demonstrated by the equation below!
12x + 36y = 504
b) here we know that x = 18, so...
12(18) + 36y = 504
216 + 36y = 504
36y = 288
Divide both sides by 36
y = 8
Amy needs 8 of the 36 cup baking pans in order to complete her order.
Hope this helps! Best of luck <3
Classify the following polynomials according to the number of terms. Combine any like terms first.
x^2 + 3x + 2x
x^2 + 5x = Binomial
x^3 + x + 3x^2 - x
x^3 + 3x^2 = Binomial
4x^3 + x + x^2 - 2x
4x^3 + x^2 - x = Trinomial
3x^4 + x - 3x^4 - x
0 = No Polynomial/Zero Polynomial
Hope this helps!
The first given polynomial is binomial.
The second given polynomial is binomial.
The third given polynomial is binomial.
The fourth given polynomial is monomial.
What is polynomial?Polynomials are algebraic expressions that consist of variables and coefficients.
What is monomial?A monomial is an algebraic expression that has only one term.
What is binomial?Binomial is an algebraic expression that contains two different terms connected by addition or subtraction.
What is trinomial give?A trinomial is an algebraic expression that has three non-zero terms.
According to the given question.
We have some polynomials.
If we take the polynomial:
[tex]x^{2} +3x+2x[/tex]
The above polynomial can be written as
[tex]x^{2} + 5x[/tex]
Since, the above polynomial has only two terms therefore it is a binomial.
[tex]x^{3} +x+3x^{2} -x = x^{3} +3x^{2}[/tex]
The above polynomial has only two terms. Hence, the given polynomial is binomial.
[tex]4x^{2} + x + x^{2} -2x\\=5x^{2} -x[/tex]
The given polynomial has only two terms therefore it is binomial.
[tex]3x^{4} + x - 3x^{4} -x\\= 0[/tex]
The given polynomial has only one term therefore it is monomial.
Find out more information about classification of polynomials here:
https://brainly.com/question/12677239
#SPJ3
Algebra Piecewise functions!!!
Can someone help with number 1? I got some of it but I don’t know what to do next!
Answer:
f(7) = 16
Step-by-step explanation:
f(7)
Let x = 7
We use the first part of the function since 7 > 4
3(7) -5
21 -5
16
f(7) = 16
