Considering the equation given, the formula for h(n) in terms of n is given by:
h(n) = -2n - 13
What is the equation?
The equation given is:
m + 1 = -2(n + 6).
We want to write m as a function of n, hence:
m + 1 = -2(n + 6).
m = -2n - 12 - 1
m = -2n - 13
Hence:
h(n) = -2n - 13
More can be learned about equations at https://brainly.com/question/25537936
Solve for x: √(32^0 + 2/3)=(0.6)^2-3x
Step-by-step explanation:
Given: √{32⁰ + (2/3)} = (0.6)²⁻³ˣ
Asked: Find the value of x = ?
Solution: Given that √{32⁰ + (2/3)} = (0.6)²⁻³ˣ
⇛√{1 + (2/3)} = (0.6)²⁻³ˣ
⇛√{(1/1) + (2/3) = (0.6)²⁻³ˣ
⇛√{(1*3 + 2*1)/3} = (0.6)²⁻³ˣ
⇛√{(3 + 2)/3} = (0.6)²⁻³ˣ
⇛√(5/3) = (0.6)²⁻³ˣ
Squaring on both sides then
⇛{√(5/3)}² = {(0.6)²⁻³ˣ}²
⇛√(5²/3²) = {0.6}(²⁻³ˣ)²
⇛√{(5*5)/(3*3)} = {0.6}(²⁻³ˣ)²
⇛5/3 = {0.6}(²⁻³ˣ)²
[[tex]\mathsf{\because}[/tex] (aᵐ)ⁿ = aᵐⁿ]
⇛5/3 = (0.6)²*²⁻³ˣ*²
⇛5/3 = (0.6)⁴⁻⁶ˣ
⇛5/3 = (6/10)⁴⁻⁶ˣ
⇛5/3 = {(6÷2)/(10÷2)})⁴⁻⁶ˣ
⇛5/3 = (3/5)⁴⁻⁶ˣ
⇛(3/5))⁻¹ = (3/5)⁴⁻⁶ˣ
[[tex]\mathsf{\because}[/tex] a⁻ⁿ = 1/aⁿ]
Base are the same, so the exponents must be equal.
[tex]\mathsf{\therefore}[/tex] -1 = 4 - 6x
Shift the number 4 from RHS to LHS, changing it's sign.
⇛-1 - 4 = -6x
⇛-5 = -6x
⇛x = {(-5)/(-6)}
[tex]\mathsf{\therefore}[/tex] x = 5/6
Answer: Hence, the value of x for the given problem is 5/6.
also read similar questions: (1/3)^-2 + (1/4)^-2 = (125)^x Find the value of x? https://brainly.com/question/25746379?referrer
(3^-2 × 4^-2)^-3 = 12^x In the given expression find the value of x. https://brainly.com/question/25746273?referrer
what are three expressions that are equivalent to 15+45
Answer:
40+20, 50+10, 46+14
Step-by-step explanation:
15+45=60 = 50+10=60 46+14=60
25= 5(3X-4)^1/3
PLEASE HELP AND SHOW WORK!
THANKS SM
Answer:
[tex]x=43[/tex]
Step-by-step explanation:
Given equation:
[tex]25=5(3x-4)^{\frac13}[/tex]
Divide both sides by 5:
[tex]\implies 5=(3x-4)^{\frac13}[/tex]
Cube both sides:
[tex]\implies 5^3=((3x-4)^{\frac13})^3[/tex]
[tex]\implies 125=(3x-4)^{\frac33}[/tex]
[tex]\implies 125=(3x-4)^1[/tex]
[tex]\implies 125=3x-4[/tex]
Add 4 to both sides:
[tex]\implies 129=3x[/tex]
Divide both sides by 3:
[tex]\implies x=43[/tex]
Answer:
x = 43
Step-by-step explanation:
25 = 5∛(3x - 4)On cubing the entire expression :15625 = 125(3x - 4)3x - 4 = 1253x = 129x = 43On a football field, the left and right tackles are lined up on the same yard line. A linebacker is 15 yards away from that yard line. The angles of the lines of sight of the tackles to the linebacker that are made with the yard line are shown in the diagram. Approximately how far apart are the left and right tackles?
Answer:
D. 39.3 yd
Step-by-step explanation:
Left tackle:
tan 35° = 15/x
x = 15/tan 35°
x = 21.42
Right tackle:
tan 40° = 15/x
x = 15/tan 40°
x = 17.88
x + y = 39.3
Answer: D. 39.3 yd
7/16 = ___% ai need it step by step
Answer:
43.75%
Step-by-step explanation:
Step 1: Divide 7 by 16 to get the number as a decimal. 7 / 16 = 0.44
Step 2: Multiply 0.44 by 100. 0.44 times 100 = 43.75. That's all there is to it!
7 j + 3 - 4 j + 9 terms and like terms
Hiya! :D
My name is Violet, and I will be helping you on your question!
[tex]\sf{7j \: + 3 \: - 4j \: + \: 9}[/tex]
[tex]\sf{Group \: like \: terms:}[/tex]
[tex]\sf{= 7j \: - 4j \: + \: 3 \: + \: 9}[/tex]
[tex]\sf{Add \: the \: numbers:}~ 3 \: + \: 9 \: = 12}[/tex]
[tex]\sf{= 7j \: - \: 4j \: + \: 12}[/tex]
[tex]\sf{Add \: similar \: elements:}~ 7j \: - 4j \: = \: 3j}[/tex]
[tex]\sf{= 3j \: + \: 12}[/tex]
Hope It Helps ! ^-^
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
[tex]\huge \pmb {\frak{Violet}}[/tex]
3x+1=38 solve and check please
Hello!
The first step is to subtract 1 from both sides.
[tex]\bf{3x+1=38}[/tex]
[tex]\bf{3x=37}[/tex]
Now, divide both sides by 3:
[tex]\bf{\displaystyle\frac{37}{3} }[/tex]
Can this fraction be simplified? Nope.
Why? Because 37 and 3 do not have any common factors, except 1 (and what's the point of dividing by 1?)
Hence, the answer is
[tex]\huge\boxed{\text{Answer:{\boxed{\circ\star{\frac{37}{3} }}}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepOnLearning
[tex]\boxed{An~Emotional~Helper!}[/tex]
Given that
3x : 10 = 5: 2
Calculate the value of x.
Give your answer in its simplest form.
X =
Answer:
25/3
Step-by-step explanation:
3x:10=5:2
proportions are basically ratios, and ratios are basically fractions, so we can cross multiply
3x*2=10*5
6x=50
x=50/6
x=25/3
Step-by-step explanation:
please mark me as brainlest
HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLO
Answer:
hi
Step-by-step explanation:
(b) A line has the equation y = 6x + 11
Does the point (-3,15) lie on the line? Explain you answer as fully as possible
Hi, to begin, the ordered pair value (-3, 15) has an x-value of -3. So, to see if it lies on the line of your equation y = 6x + 11, plug -3 in for x. This gives you y = 6(-3) + 11 = -7 So the ordered pair answer for this would be (-3, -7) and not (-3, 15). So the answer is no.
Hey there!
-----------------------_----------_---------An isosceles triangle has area of 140 ft2. If the base is 18 ft, what is the length of each leg? Round your answer to the nearest tenth
Answer: 18.0 feet
Step-by-step explanation:
Need done ASAP
If f(x)=2x+7 and g(x)=5x-3, which expression represents (f-g)(x) ?
Please show work
And the cross-section perpendicular to the yaxis is a square. Set up a definite integral expressing the volume of the solid
The volume of the cross-section perpendicular to the solid is the amount of space in the cross-section
How to set up the integral?The question is incomplete;
So, I will give a general explanation on how to set up a definite integral for volume of a solid
Assume the solid is a cone;
Using the disk method, the integral of the volume is:
[tex]V = \int\limits^a_b {\pi r(x)^2} \, dx[/tex]
Using the washer method, the integral of the volume is:
[tex]V = \int\limits^a_b {\pi [R(x)^2 -r(x)^2 ]} \, dx[/tex]
Read more about volume integrals at:
https://brainly.com/question/18371476
what is the measure of the angle shown?
Answer:
35 degrees
Step-by-step explanation:
Answer:
The measure of the angle is 35 degrees
Step-by-step explanation:
There are two measurements on the protractor.
If the angle is acute you will use the smaller measurenment of the two, and if the angle is obtuse, you will use the larger of the two.
In this case the angle is acute, so the measure is 35 degrees.
Hope that helps!
Factorize x2(2x + 3y) + 3x (2x + 3y) +2 (2x + 3y)
Answer:
(2x+3y)(x2+3x+2). it may helps you
Answer:
[tex]\tt 2x^3+3x^2y+6x^2+9xy+4x+6y[/tex]
Step-by-step explanation:
[tex]\tt x^2(2x + 3y) + 3x (2x + 3y) +2 (2x + 3y)[/tex]
Expand by distributing terms:-
[tex]\tt 2x^3+3x^2y+3x(2x+3y)+2(2x+3y)[/tex]
Expand by distributing terms:-
[tex]\tt 2x^3+3x^2y+6x^2+9xy+4x+6y[/tex]
~
What are the solution(s) for the quadratic equation?
Y=5x^2-9x+4
Show work
Let's see
[tex]\\ \rm\rightarrowtail 5x^2-9x+4=0[/tex]
[tex]\\ \rm\rightarrowtail 5x^2-5x-4x+4=0[/tex]
[tex]\\ \rm\rightarrowtail 5x(x-1)-4(x-1)=0[/tex]
[tex]\\ \rm\rightarrowtail (5x-4)(x-1)=0[/tex]
[tex]\\ \rm\rightarrowtail x=4/5,1[/tex]
Brainliest available
Find "X"
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: ({4}^{2}) \star ( {2}^{9} ) = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: ({ {2}^{2}) }^{2} \star ( {2}^{9} ) = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: ({ {2}^{}) }^{4} \star ( {2}^{9} ) = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \:2 {}^{4 + 9} = {2}^{x} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 4 + 9[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 13[/tex]
hence, value of x is 13
[tex]➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖[/tex]
Answer:
x = 13
Step-by-step explanation:
[tex]\left(4^2\right)\left(2^9\right)=2^x[/tex]
[tex]\mathrm{multiply}[/tex]
[tex]4^2=16[/tex]
[tex]2^9=512[/tex]
[tex]16*512=8192[/tex]
[tex]8192=2^x[/tex]
[tex]\mathrm{Flip \;the \;equation}[/tex]
[tex]2x=8192[/tex]
[tex]log(2x)=log(8192)(Take \;log \;of\; both \;sides)[/tex]
[tex]x*(log(2))=log(8192)[/tex]
[tex]x=\frac{log(8192)}{log(2)}[/tex]
[tex]x=13[/tex]
[RevyBreeze]
The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation h = 8 cosine (startfraction pi over 10 endfraction t). what is the period of the function? startfraction pi over 20 endfraction seconds startfraction pi over 10 endfraction seconds 8 seconds 20 seconds
Answer:
20 seconds
Step-by-step explanation:
I assume you mean [tex]h(t)=8\cos(\frac{\pi}{10}t)[/tex] for your function.
As the given function is in the form of [tex]f(t)=a\cos(bt+c)+d[/tex] (some textbooks may write this formula differently), the period is equal to [tex]\frac{2\pi}{|b|}[/tex]. Hence, the period of the given function is [tex]\frac{2\pi}{|\frac{\pi}{10}|}=\frac{2\pi}{1}*\frac{10}{\pi}=\frac{20\pi}{\pi}=20[/tex], or 20 seconds.
The period of the function that relates the sea level as the function of time is given by: Option D: 20 seconds.
What are some properties of a cosine function?Suppose that we've got: [tex]f(x) = a\cos\left(\dfrac{2\pi x}{b}\right)[/tex]
Then, this function has:
Amplitude (the maximum distance of the graph from the middle line) = aPeriod = bFor this case, we're given that:
[tex]h = 8\cos\left(\dfrac{\pi x}{10}\right)[/tex]
We can rewrite it as:
[tex]h = 8\cos\left(\dfrac{2\pi x}{20}\right)[/tex]
Thus, we get a = amplitude = 8 units(distance), and b = period = 20 units(time in seconds).
Thus, the period of the function that relates the sea level as the function of time is given by: Option D: 20 seconds.
Learn more about amplitude and period of a cosine function here:
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Can someone please help me with this? It's urgent! I need to turn it in tomorrow, please
Answer:
Step-by-step explanation:
Anything going from lower left to upper right is a positive slope.
The lines are not easily seen. My best estimate is that one point is (2,5)
Use the two points you are sure of.
(0,-1) and (1,2)
Givens
x1 = 0x2 = 1y1 = - 1y2 = 2Formula
m = (y2 - y1)/(x2 - x1)
Solution
m = (2 - - 1) / (1 - 0)
m = 3/1
m = 3
What is the value of 5 + 3x when x = 4?
Answer:
5 + 3(4)
5+ 12
17
Step-by-step explanation:
brainlyist plssssssssss
Answer:
17
Step-by-step explanation:
5 + (3 x 4)
5 + (12)
17
You're multiplying 3 by 4 because x = 4. When a variable is on top of a number, you will multiply it. Almost like saying 3(4).
I hope this helped!
Damian needs to buy 5 pints of juice but the store doesn't sell juice in pints, so damian buys 3 quarts of juice. does damian buy enough juice if not how much more does he have left or need to have enough?
Answer:
Damain has bought enough juice.
Step-by-step explanation:
1 qt(quart) = 2 pints.
3 qt = 6 pints.
6 pints > 5 pints (6 pints is bigger than 5 pints)
Therefore, Damain has bought enough juice.
Please mark as brainliest!
In the figure below, k || l and m || n. Find the values of y and x.
Answer:
x = 30
y = 115
Step-by-step explanation:
Suppose line m is parallel to line n:
65+y = 180 because they are supplementary angles
subtract 65 from both sides
y = 115
angle represented by y and the angle represented by 3x + 25 are alternate angles and their measure is equal, so to find the value of x we can write the following equation:
3x + 25 = 115 subtract 25 from both sides
3x = 90 divide both sides by 3
x = 30
100pts Help rounding!
Answer:
5
Step-by-step explanation:
5 158/559
= 5 + 158/559
= 5 + 0.28264758
= 5.28264758
= 5 (rounded to nearest whole number)
Answer:
5
Explanation:
[tex]\rightarrow \sf 5\dfrac{158}{559}[/tex]
[tex]\rightarrow \sf 5.282647585[/tex]
The whole number is the quotient in any fraction.
Your class of 96 students is going on a field trip to the aquarium.
You filled one school bus, and the second school bus had 6 seats left
over. Write and solve an equation to determine how many students
s can fit on one school bus.
Answer:
54 in one bus
Step-by-step explanation:
96/2=48
48+6=54
Find 76% of 147 please answer
Answer:
111.72
simplify multiply
⇒ 76% * 147
⇒ (76/100) * 147
⇒ 111.72
If 85 third graders went to a field trip and 35 fourth graders went on a field trip how many kids went on a field trip.
Please help i am confused
Answer: (4)
Step-by-step explanation:
The parts listed in the congruence statements don't correspond, so they aren't necessarily congruent.
Help on this pleasse.
Answer: 40 degrees
Step-by-step explanation:
I don't know how to solve this
Answer:
7
Step-by-step explanation:
List out possible numbers that would add to the answer choices and see which has most possibilities
7
3 + 4
5 + 2
1 + 6
10
5 + 5
4 + 6
11
5 + 6
12
6 + 6
PLS HELP ME
Use the box-and-whisker plot to complete each of the following statements.
A)The median of Set A is approximately ___ the median of Set B.
Answers I can pick from: Half of, the same, twice
B) The range of Set B is approximately ___ the range of Set A.
Answers I can pick from: Half of, the same, twice
C) The interquartile range of Set A is ____ the interquartile range of Set B.
Answers I can pick from: Less then, greater then, the same
D. There is ____ overlap between the two data sets.
Answers I can pick from: some, much, little, like, no
To find the range, interquartile range, and median of the box plot, see the image attached below to use as a guide.
What is a Box Plot?A box plot consists of a rectangular box, a vertical line that divides the box, and two whiskers extending from the box.
The box plots being referred to in the question are missing, however, the diagram attached shows how to determine the values you will need in solving the question.
The median is represented by the vertical line that divides the rectangular box.
The range = max value - min value.
The interquartile range = the range of the rectangular box = Q3 - Q1.
In summary, to find the range, interquartile range, and median of the box plot, see the image attached below to use as a guide.
Learn more about box plot on:
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