Answers
Answer:
x = 7
Step-by-step explanation:
We need to find the value of x in the given figure. It can be calculated using ratio.
We know that,
4+3 = 7
Taking ratios,
[tex]\dfrac{7}{3}=\dfrac{14}{x-1}[/tex]
or
[tex]\dfrac{1}{3}=\dfrac{2}{x-1}\\\\x-1=6\\\\x=6+1\\\\x=7[/tex]
So, the value of x is equal to 7.
Related Questions
One earthquake has MMS magnitude 3.2. If a second earthquake has 390 times as much energy (earth
movement) as the first, find the magnitude of the second quake.
Answers
While we have explored some basic applications of exponential and logarithmic functions, in this section we explore some important applications in more depth.
Radioactive Decay
In an earlier section, we discussed radioactive decay – the idea that radioactive isotopes change over time. One of the common terms associated with radioactive decay is half- life.
Half Life
The half-life of a radioactive isotope is the time it takes for half the substance to decay.
Given the basic exponential growth/decay equation h(t) = abt , half-life can be found by solving for when half the original amount remains; by solving 1 a = a(b)t , or more
2
simply 1 = bt . Notice how the initial amount is irrelevant when solving for half-life. 2
Example 1
Bismuth-210 is an isotope that decays by about 13% each day. What is the half-life of Bismuth-210?
We were not given a starting quantity, so we could either make up a value or use an unknown constant to represent the starting amount. To show that starting quantity does not affect the result, let us denote the initial quantity by the constant a. Then the decay of Bismuth-210 can be described by the equation Q(d) = a(0.87)d .
To find the half-life, we want to determine when the remaining quantity is half the original: 1a. Solving,
2
1 a = a(0.87)d 2
1 = 0.87d 2
1 d log2=log(0.87 )
Divide by a,
Take the log of both sides Usetheexponentpropertyoflogs
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The table below shows the numbers of tickets sold at a carnival and the amounts of money in dollars collected Cost of Carnival Tickets
Number of Tickets. Amount $ Collected.
5 $15
10. $30
15. $45
20. $60
25. $75
Which equation represents the relationship
A y = x + 10
B y = 5x
C y = x + 15
D y = 3x
Answers
Morgan is a teacher and takes home 87 papers to grade over the weekend. She can grade at a rate of 9 papers per hour. How many papers would Morgan have remaining to grade after working for 7 hours?
Answers
Answer: 24
Step-by-step explanation: Delta math a=78+(7−1)(−9)
Answer:
2369.9
Step-by-step explanation:
Add it back
What is the following simplified product? Assume x>0.
218x3 3.V10x4 – x15x?
0 244² √5% - 44² √10x
24x35x - 4x3 10X
24x3 75-4x310x
O 24x35x +4x® /10x
Answers
Answer:
[tex]24x ^{3} \sqrt{5 - 4x ^{3} } \sqrt{10x} [/tex]
SOMEONE PLEASE HELP :(
Answers
Answer:
[tex](x-3)^{2} = 10[/tex]
Step-by-step explanation:
[tex]\\Question 1\\\\-2xc = -6x\\2xc = 6x\\c = \frac{6}{2} \\c = 3\\x^{2} - 6x + cx^{2} = 1 + c^{2} \\x^{2} - 6x + 3^{2} = 1 + 3^{2}\\x^{2} - 6x + 9 = 1 + 9\\x^{2} - 6x + 9 = 10\\(x - 3)^{2} = 10\\REWRITINGx^{2} - 6x = 1 is equal (x -3)^{2} = 10\\[/tex]
I hope this help!
I don't know the second one ^-^
9. Please help besties
Or user elpink25
Answers
Answer:
1
Step-by-step explanation:
The method I used is elimination.
x - 2y = 1
-x - 4y = -7 To find y, we need to cancel the x by using it's opposite. This also affects the other numbers in the equation. This makes positive 4 into a negative and positive 7 into a negative.
Now we are left with, -2y = 1
-4y = -7
Add and you get, -6y = -6
Divide -6y/-6 = -6/-6
Our answer is, y = 1.
plz help i give 50 points
Answers
Answer:
area of trapezium = 20 in^2
Step-by-step explanation:
here's your solution
==> area of trapezium = 1/2*(sum of parrel side)*distance between them
==> length of parrel sides = 6 in and 2 in
==> height = 5 in.
==> area of trapezium = 1/2(6 + 2) * 5
==> area of trapezium = 20 in^2
hope it helps
Step-by-step explanation:
sorry for this
"i try so can you rate"
1) A bag contains six red marbles and eight blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag. Both marbles are red.
Answers
Answer:
You would have 4 red marbles and 8 blue marbles since you didn't return the ones you took out to the bag.
Step-by-step explanation:
6 - 2 = 4
The 8 would stay the same
There for you would have 4 red marbles and 8 blue marbles left in the bag. Totalled you have 12 marbles in the bag and 2 out of the bag. (8 + 4 = 12)
Including the marbles in and out of the bag you have 14 marbles. The 12 inside the bag + the 2 outside of the bag = 14 marbles totalled.
Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x<53)?
A. 0.84
B. 0.16
C. 0.025
D. 0.975
Answers
The correct answer is A. 0.84
The value of P(X<53) is 0.84 if the Z = 1 and normal distribution has a mean of 50 and a standard deviation of 3 option (A) is correct.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We know,
[tex]\rm Z = \dfrac{X-\mu}{SD}[/tex]
X = 53, μ = 50, and SD = 3
[tex]\rm Z = \dfrac{53-50}{3}[/tex]
Z = 1
From the Z table.
The value of P(X<53) = 0.84
Thus, the value of P(X<53) is 0.84 if the Z = 1 and normal distribution has a mean of 50 and a standard deviation of 3 option (A) is correct.
Learn more about the normal distribution here:
brainly.com/question/12421652
#SPJ2
Examine the figure of two parallel lines cut by a transversal.
What is the value of x?
Answers
Answer:
x=17
Step-by-step explanation:
The angles present are Alternative interior angles. That means that they are congruent. Meaning 4x+7 = 75. To solve for 7, you subtract 7 from both sides. That leaves you with 4x=68. Then you divide both sides with 4. Then you get x=17.
Hope this helps!
BTS!!
Answer:
x = 17
Step-by-step explanation:
75° and (4x + 7)° are alternate interior angles.
If two lines are cut by a transversal, then the alternate interior angles are congruent.
75 = 4x + 7
=> 4x = 68
=> x = 17
what is the unit price of 12 cupcakes for 25 dollars
Answers
Answer:
Unit price of 12 cupcakes for 25 dollars = 25/12
= 2.08 dollars
Answer:
The unit price would be $2.08 for a cupcake because if you divide 12 and 25, you would get 2.08.
Step-by-step explanation:
Which sequence of transformations will change figure PQRS to figure P′Q′R′S′? (5 points)
Group of answer choices
Counterclockwise rotation about the origin by 180 degrees followed by reflection over the x-axis
Counterclockwise rotation about the origin by 180 degrees followed by reflection over the y-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection over the x-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection over the y-axis
Answers
Answer:
Step-by-step explanation:
Counterclockwise rotation about the origin by 180 degrees followed by reflection over the y-axis
Recall that the angles of every triangle sum to 180°. The three angles of a triangle ABC are even consecutive integers. Find the measures of all three angles of the triangle, listing them from the smallest to the largest angle. A is the smallest angle: degrees B is the next angle: degrees C is the largest angle: degrees
Answers
Answer:
A = 58
B = 60
C = 62
Step-by-step explanation:
A + B + C = 180
A = 58
B = 60
C = 62
58 + 60 + 62 = 180
5x-6=29. What does x equal
Answers
Answer:
Solution given:
5x-6=29.
5x=29+6
x=35/5=7
x=7 is your answer
Answer:
x=7
Step-by-step explanation:
the area of a circle is 0.2826 square miles. what's is the circle's radius? use 3.14 for pi
Answers
what shape is that? Please don't answer the question, i just need to know the shape.
Answers
Answer:
Rectangle.
Step-by-step explanation:
It has 4 sides.
Answer:
It is a Wedge
Step-by-step explanation:
Because if you were to compare it to a rectangle which it look like it is a 3D figure and it gets slightly skinnier at the top so it is indeed a wedge
What is the solution to |2x-8|<2?
Answers
Answer:
A) 3<x<5
Step-by-step explanation:
Given: |2x-8|<2
Make two inequalities:
First inequality:
2x-8<2
2x<10
x<5
Second inequality:
2x-8>-2
2x>6
x>3
Therefore, your solution is 3<x<5 since the two inequalities pass each other, making an "and" inequality.
Which number line shows the graph of x 11?
OA
+
9
10 11 12 13 14
10 11 12 13 14
+
9 10 11 12 13 14
6 7 8 9
10 11 12 13 14
Answers
Answer:
B
Step-by-step explanation:
X ≥ 11 means that x could equal 11. The number is included on the answer. So, the circle on the number line has to be closed/filled in. X could be any number equal to or greater than 11, so the number line has to be shaded to the right. :D
Kurt recorded the amount of rainfall in each month for one year. What was the total rainfall that year?
Answers
Answer:wheres the question
sadStep-by-step explanation:
sadsadsa
If the average rate of change 10 is greater than the average rate of change of -12.5 explain why this is incorrect?
Answers
Answer:
Step-by-step explanation:
It's the magnitude of the average rate of change that's important here.
| -12.5 | is greater than | 10 |. The negative sign tells us that the function is decreasing on the given interval.
−10 = −0.4k
this is probably easy but can someone find k
Answers
Answer: k = 25
hope this helped :)
Abdallah earns AED 30 for each car he washes. He also gives his little brother AED 20 form his weekly earnings. This week, he wants to have at least / minimum AED500 in spending money. Which inequality represents the number of cars that he must wash?Single choice.
A.30 x + 20 > 500
B.-30x+20 <500
C.30x -20 ≥ 500
D.20x +30≥500
Answers
Answer:
Step-by-step explanation:
Solve 3x^2 if x is 10
By the way, the x is a variable
Answers
300 is your answer.......
A student formed a pattern in which each term is represented by a sum. The first four terms of the pattern are shown below Which expression can be used to determine the value of the sum in any term, n
Answers
Answer:
n2
Step-by-step explanation:i did this last year
graph the function y=x3+3x2-1. based on the graph what is the least possible x-value if y=0? round your answer to the nearest hundredth, if necessary
o -2.88
o -2.00
o -0.65
o -0.53
Answers
Answer:
-2.88
Step-by-step explanation:
When graphed Y=0 crosses the X-axis three times
X= -2.88, -0.65, 0.53
Answer:
It's A on edge or -2.88
Step-by-step explanation:
⚠️ Urgent PLS HELP
links will be reported
Find the value of x .
Answers
Answer: x=18
Step-by-step explanation: ...
Five different DVDs cost:
$11.50, $11.00, $17.00, $21.25, $16.00
median =
$16.00
$10.25
$15.35
Answers
Answer:
16
Step-by-step explanation:
mode = the most
mean = ave
median = the no. in between
so arrange those five costs the one in the middle is 16
Answer: 16.00
Arrange you numbers in numerical order. Than your middle number will be you answer.
What is the slope of the line graphed below? (-1,3) (-2,-1)
Answers
Answer:
the slope of (-1,3) (-2,-1) is 4
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Please help this assignment is over due and I don't get it thx ;)
Answers
Answer:
45
Step-by-step explanation:
9 x 5 = 45
45 / 9 = 5
45 is the answer!
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Morgan pays $25 in monthly fees for her baseball team's uniforms and field rental. What kind of expense is the fee she pays?
A. Variable
B. Income
C. Fixed
D. This would not be an expense.
