Answer:
15
Step-by-step explanation:
a:b::c:d
a/b=c/d .......(eq 1)
let a=0.2, b=0.5, c=6, d=x
Not put values in eq 1
0.2/0.5 = 6/a
By cross multiplication we get:
0.2xa = 6x0.5
0.2a = 3
Dividing by 0.2 on both sides we get
0.2a/0.2 = 3/0.2
a = 15
Therefore The fourth proportional is 15
Question 4 (1 point) The half life of Cs-137 is 30.2 years. If the initial mass of the sample is 100kg, how much will remain after 151 years? Leave your answer as a decimal and do not round, Answer = kg Blank 1:
Answer:
3.12 kg.
Step-by-step explanation:
Mass after t years:
The mass of the elements after t years is given by the following equation:
[tex]M(t) = M(0)(1-r)^t[/tex]
In which M(0) is the initial mass and r is the decay rate, as a decimal.
The half life of Cs-137 is 30.2 years.
This means that:
[tex]M(30.2) = 0.5M(0)[/tex]
We use this to find r.
[tex]M(t) = M(0)(1-r)^t[/tex]
[tex]0.5 = M(0)(1-r)^{30.2}[/tex]
[tex](1-r)^{30.2} = 0.5[/tex]
[tex]\sqrt[30.2]{(1-r)^{30.2}} = \sqrt[30.2]{0.5}[/tex]
[tex]1 - r = 0.5^{\frac{1}{30.2}}[/tex]
[tex]1 - r = 0.9773[/tex]
So
[tex]M(t) = M(0)(0.9773)^{t}[/tex]
If the initial mass of the sample is 100kg, how much will remain after 151 years?
This is M(151), with M(0) = 100. So
[tex]M(t) = 100(0.9773)^{t}[/tex]
[tex]M(151) = 100(0.9773)^{151} = 3.12[/tex]
The answer is 3.12 kg.
Answer this correctly I’ll give u brainalist + 10 points
B
Step-by-step explanation:
it is the only one that has angles that are right next to eachother!
Alexis cell phone company charges her $35 a month for phone service plus $0.40 for each text message. How many text message does Alexis send in a month if her bill was $72?
Answer:
$92.50
Step-by-step explanation:
$72 - $35 = 37
37 / 0.40 = 92.5
Answer = $92.50
Lules drog triangles when given three side lengths.
Which of these side lengths could be the sc lengths of a triangle?
Choose that are correct
Answer:
5,5,9 triangle is possible
3,4,5 triangle is also possible
all other length combinations aren't possible to form triangles.
Step-by-step explanation:
17, 25, 23, 200, 14
Mean
Median
Mode
Answer:mean- 55.8
Median-23
Mode:none
Step-by-step explanation:
Can somebody help me?
Answer:smsjsjsjsjsjss
Step-by-step explanation:idididididisjsnsbuxxjhx
Ssjsjsjsjjssjsjmsjsjsjs
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $8 monthly fee and charges an additional $0.12 for each minute of calls. The second plan has a $18 monthly fee and charges an additional $0.7 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
Answer:
200 minutes
Step-by-step explanation:
Let us assume the number of minutes be x
Now the two equations are
$8 + 0.12x = 0
And, $18 + 0.7x = 0
In the case when the cost of the two plans is equal
So
$8 + 0.12x = $18 + 0.7x
$8 - $18 = 0.7x - 0.12x
-$10 = -0.05x
x = 200 minutes
Pls help me which one is it
Answer:
c
Step-by-step explanation:
Answer:
No solutions
Step-by-step explanation:
If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations. ... When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
One of the legs of a right triangle measures 11 cm and its hypotenuse measures 12 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
4.8cm
Step-by-step explanation:
a²+b²=c² where c is the hypotenuse so
Let's plug in those values
11²+b²=12²
b²=12²-11²
b²=23
b=4.8
Please help me solve this problem please
Answer:
Step-by-step explanation:
This is a trapezoid which has an area of
A=h(b2+b1)/2 (average of parallel bases times the height)
The tricky part is finding the height.
tan(90-62)=(9-8)/h
h=1/(tan(28)), now the area equation looks like
A=(b2+b1)/(2(tan28)), b1 and b2 are 8 and 9 so
A=17/(2tan28) ft^2 (exact)
A=15.99 ft^2 (to the nearest hundredth of a square foot)
They might just round it to 16 ft^2
• How do you write the mixed number shown as a fraction greater than l? 3 4
Answer:
[tex] \frac{14}{4} [/tex]
simplified [tex] \frac{7}{2} [/tex]
Step-by-step explanation:
To turn a mixed number into a fraction :
[tex]3\frac{ + 2}{ \times 4} [/tex]
3 x 4 =12 +2 =14 that will be your numerator (top number on a fraction)
and 4 will be your demoninator (bottom number)
Estimate the square root to the nearest (a) integer and (b) tenth
105
a. nearest integer.
b. nearest tenth
Answer:
a. nearest integer: -10
b. nearest tenth: -10.2
Step-by-step explanation:
The estimated integers are a) 10 and b) 10.2
(a) To estimate the square root of 105 to the nearest integer, we can use a rough approximation.
The square root of 100 is 10, and the square root of 121 is 11. Since 105 is closer to 100 than it is to 121, we can estimate the square root of 105 to be approximately 10.
(b) To estimate the square root of 105 to the nearest tenth, we can use a calculator or perform some calculations.
The square root of 105 is approximately 10.246950766. Rounded to the nearest tenth, we get 10.2.
Hence the estimated integers are a) 10 and b) 10.2
Learn more about integers click;
https://brainly.com/question/490943
#SPJ2
When a button is pressed, a computer program outputs a random odd number greater than 1 and less than 9. You press the button 4 times. How many possible outcomes are there?
Answer:
Well if it is 1 to 9 and you press it 4 times you will have 9 possible outcomes
Step-by-step explanation:
The number of possible outcomes when the button is pressed 4 times is; 81 outcomes
Number of possible outcomesWhen the button is pressed first, the possible choices of random odd number are; 3, 5 and 7.This is because the sample space includes odd numbers between 1 and 9 excluding 1 and 9.
Since number of possible choices for one press is 3,then for four presses, we will have;
3⁴ = 81 possible outcomes
Read more on probability outcomes at; https://brainly.com/question/25376712
Please help me anyone
Answer:
25
Step-by-step explanation:
2x=x+25
2x-x=25
x=25
Determine the number of x-intercepts that appear on a graph of eac
f(x) = (x + 1)(x - 3)(x - 4)
For which system of equations is the graph below a solution?
Answer:
the answer for the graph and equations would be option D
Please answer
Will give brainlst
Answer:
[tex]13) > \\ 14) < \\ 15) < \\ 16) > [/tex]
Answer:
13. >
14. <
15. <
16. >
Step-by-step explanation:
13. √15 - 4 = -0.12 and √15 - 7 = -3.12
14. 2√18 = 8.4 and 2√21 = 9.16
15. -^3√30 = -3.1
16. √8 + 1 = 3.8 and √17 - 2 = 2.1
A sample of students is taken from the school’s A honor roll. The school estimates that there are actually 360 students on the A honor roll. Using this sample, how many students on the A honor roll are 8th graders?
6thgraders=15
7thgraders=11
8thgraders=14
Answer:
Number of 8th Graders = 360 - X
As you can see this question is not complete and lacks the essential data. But we will try to create a mathematical expression to calculate the number of students on the A honor roll which are from 8th grade.
As we know:
Total number of students on the A honor roll = 360
We are asked to calculate, number of students from 8th grade on the A honor roll.
So, let's assume that "X" represents all the students who are on the A honor roll except 8th grade.
Mathematical Expression:
Number of 8th Graders = Total number of students on the A honor roll - X
Number of 8th Graders = 360 - X
So, if you know the value of X, you can easily calculate the number of students which are from 8th grade on the A honor roll.
I am not sure if it is wrong I am sorrry.
18 girls and 12 boys on a swim team. what is the percentage of boys?
Answer:
40%
Step-by-step explanation:
The first step is to add 18 girls + 12 boys, which gives you the total number of people on the swim team, 30.
Next, you divide the 12 boys by the total swim team members, so:
[tex]\frac{12}{30}[/tex] = 0.4
Then, you multiply 0.4 by 100 to get the percentage:
0.4 × 100 = 40
Therefore, the swim team is made up of 40% boys, and 60% girls.
Answer:
40%
Step-by-step explanation:
30 total kids
12/30 as a decimal is 0.4
to make a decimal into a percent you move the decimal point 2 times to the right
that would be 40
then add the percent to make 40%
Anyone good at Boolean Algebra?
Answer: no :(
Step-by-step explanation:
Suppose a video store charges non-members $10 to rent each video. However, a membership costs $21 and members pay $3 to rent each video. For what number of videos is the cost the same?
Answer:
3
Step-by-step explanation:
Non Members pay $10 dollars each video 3 x 10= $30
membership costs $21 + 3 videos $3 each $21 + $9 =$30
Price is the same after 3 videos rented
please help, WILL GET BRAINLIEST
Answer:
The right answer should be the second option: (16a^2)/(b^7)
The measures of two angles are 2x⁰ and (3x + 20)⁰. What is the measure of each angle if x = 14?
A. 48⁰, 42⁰
B. 28⁰, 62⁰
C. 36⁰, 62⁰
D. 48⁰, 28⁰
Answer:
The measures of two angles are 2x⁰ and (3x + 20)⁰. What is the measure of each angle if x = 14?
b 28 and 62
3
Solve for x. Round answer to the nearest tenth.
X
759
17
Answer:
x ≈ 4.6
Step-by-step explanation:
Reference angle = 75°
Opposite side to reference angle = 17
Adjacent side = x
Applying TOA:
Tan 75 = opp/adj
Tan 75 = 17/x
Multiply both sides by x
x*Tan 75 = 17
Divide both sides by Tan 75
x = 17/Tan 75
x ≈ 4.6
which of the following are magnitudes for rotational symmetry of the hexagon hexagon below about the marked point?
9514 1404 393
Answer:
(b) 120°
Step-by-step explanation:
The points on the figure are 120° apart, so each will replace the previous when the figure is rotated 120°.
The figure has 120° rotational symmetry.
__
That is also called "order 3 rotational symmetry" as there are three positions a point can be in that will make the figure look identical.
Answer:
B. 120 & D. 240 since they are both multiples of 120
Step-by-step explanation:
Hi! The person who explained it before me helped but didn't give the exact answer so I just wanted to say what it was so nobody got confused.
Have a nice day and hope this helps! :)
(btw it's right bc I just did it on khan)
Which of the following can NOT be answered from a regression equation?
a
predict the value of y at a particular value of x
estimate whether the linear association is positive or negative
estimate whether the association is linear or non linear
none of the above
Answer:
estimate whether the association is linear or non linear
Step-by-step explanation:
Choose the correct answer.
Answer:
9
Step-by-step explanation:
(✿◡‿◡) <-- she wants brainliest
The answer is 9
Step-by-step explanation:
I BELIEVE IT IS 9 N I HOPE THIS HELPS
Maya bought T-shirts for $24. Each T-shirt cost $4. How many T-shirts did
she buy
Answer:
6
Step-by-step explanation:
24/4 = 6
hope this helps
A study was commissioned to find the mean weight of the residents in certain town. The study found the mean weight to be 150 pounds with a margin of error of 10 pounds. Which of the following is a reasonable value for the true mean weight of the residents of the town?
Answer:
156.7
Step-by-step explanation:
PLEASE HELP! What is the largest number represented on the stem and leaf plot ?
Answer:
44
Step-by-step explanation:
remember stem equal tens place and leafs equal the ones place
so we can conclude that the largest number would be 44
Answer:
44
Step-by-step explanation:
To read a stem leaf plot, the stem portion will represent the tens place and the leaf portion represents the ones place. Therefore, the largest number represented by this plot would be 44.