Answer:6
Step-by-step explanation:
500/12 is 41 so therefore you do 48/12 is 6.
Answer:
1 19/125
Step-by-step explanation:
1.) 12/500 = 0.024
2.) 0.024 * 48 = 1.152
3.) 1.152 converted to a fraction is 144/125, or 1 19/125
Plz help me i need it
Answer: [tex]\bold{c)\quad f^{-1}(x)=\dfrac{ln(x)}{2}}[/tex]
Step-by-step explanation:
Inverse is when you swap the x's and y's and solve for y. Note: f(x) is y
[tex]y=e^{2x}\\\\\text{Swap the x's and y's:}\\x=e^{2y}\\\\\text{Apply ln to both sides:}\\ln\ x=ln\ e^{2y}\\\\\text{ln e cancels out}\\ln\ x=2y\\\\\text{Divide both sides by 2:}\\\dfrac{ln\ x}{2}=y[/tex]
Paul and Jason both have subscriptions to online game accounts. For each game they play, they lose points from their online accounts depending on which game they play. The points in their accounts over time are shown in the graphs below.
Answer:
B) The initial number of points in Jason's account was 15 points less than the initial number of points in Paul's account, Jason's account runs out of points 5 games before Paul's account runs out of points.
Step-by-step explanation:
We are given two graphs f(x) and g(x).
G(x) represents Paul's Account and f(x) represents Jason's account.
By look at the graphs, Jason starts with 35 points and runs out of points in 5 games.
Paul starts with 50 points and runs out of points in 10 games.
Difference in points = 50 - 35 = 15 points
Jason starts with 15 points less than Paul's initial point.
By looking at the options B is the correct one.
B) The initial number of points in Jason's account was 15 points less than the initial number of points in Paul's account, Jason's account runs out of points 5 games before Paul's account runs out of points.
Answer:
B) The initial number of points in Jason's account was 15 points less than the initial number of points in Paul's account, Jason's account runs out of points 5 games before Paul's account runs out of points.
Step-by-step explanation:
We are given two graphs f(x) and g(x).
G(x) represents Paul's Account and f(x) represents Jason's account.
By look at the graphs, Jason starts with 35 points and runs out of points in 5 games.
Paul starts with 50 points and runs out of points in 10 games.
Difference in points = 50 - 35 = 15 points
Jason starts with 15 points less than Paul's initial point.
By looking at the options B is the correct one.
B) The initial number of points in Jason's account was 15 points less than the initial number of points in Paul's account, Jason's account runs out of points 5 games before Paul's account runs out of points.
PLEASE ANWER! WILL GIVE BRAINLIEST!!!!
VERY MUCH NEEDED!!!!!
Answer: What is the question
Step-by-step explanation:
6% as ratio in simplest form.
Answer:
3 : 50
Step-by-step explanation:
6% = 0.06
0.06 = 6/100
6/100 = 3/50
3/50 = 3 : 50
The rectangle below has a total perimeter of 100 ft:
rectangle with width of 9
Which of the following equations can be used to determine the length of the longer side of the rectangle?
x + 9 = 100
2x + 18 = 100
9x = 100
81x = 100
Answer:
B) 2x + 18 = 100
Step-by-step explanation:
Given: Perimeter = 100 feet and width = 9 ft
We know that the perimeter of a rectangle = 2(length + width)
Let "x" be the length of the rectangle.
Plugging in the given values in the above formula, we get
100 = 2(x + 9)
On the right hand side, we can use the distributive property a(b + c) = ab + ac
and expand.
100 = 2x + 2*9
100 = 2x + 18
This is same as 2x + 18 = 100
Therefore, the answer is B) 2x + 18 = 100
Select all of the labeled points that could be included while keeping the graph a function.
Answer:
Points A and F can be included while keeping the graph a function
Step-by-step explanation:
Graph of a function cannot have two different y-values for a given x-value. This means that at any given point on x-axis only one y value must be available.
So from the given points only those points can be selected, where the function is not already having any y-value.
Point A can be included because at x = - 9, no other y value is defined. So this will keep the given graph as a function.
Point B cannot be added, at at x=-6, the function already has a value which is -4. Adding point B, will result in two values at x = -6 which will be against the definition of function. So point B cannot be added.
Similarly, points C, D and E cannot be added either due to the same reason.
Point F can be added as the graph does not has any value at x = 7. So it will have a unique value here.
Answer:
points A and F
Step-by-step explanation:
Which of the following best describes the solution to the system of equations below?
4x + 5y = 7
8x + 10y = 14
A. The system of equations has infinitely many solutions.
B. The system of equations has exactly one solution where x = 7/4 and y = 0
C. The system of equations has no solution.
D. The system of equations has exactly one solution where x = 1 and y = 6/5
The given system of equations has equivalent equations, hence it has infinitely many solutions. The best answer to the question is option A.
Explanation:The system of equations presented in the question is:
4x + 5y = 7
8x + 10y = 14
These two equations are equivalent, meaning they are different forms of the same equation. This is because the second equation is just the first one multiplied by 2. When two or more equations are equivalent in a system, it means that they intersect at infinitely many points, hence they have infinitely many solutions. Therefore, the best description for the solution to this system of equations is option A: The system has infinitely many solutions.
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As per the values, C. the system of equations has no solution.
Explanation:To determine the solution to the system of equations, we can solve the equations using the method of elimination.
First, we can multiply the first equation by 2 to make the coefficients of x in both equations the same. This gives us the equations 8x + 10y = 14 and 8x + 10y = 7.
Subtracting these equations, we get 0 = 7 - 14, or 0 = -7.
Since this is not a true statement, the system of equations has no solution.
Therefore, the correct answer is C. The system of equations has no solution.
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A teacher calculates the class average on an exam for each of his four classes and finds that the means are equal. Which statement below would lead to believe that this teacher was most pleased with the exam scores in his period 1 class?
A. The scores for period 1 had the lowest median.
B. The scores for period 1 had the highest median.
C. The scores for period 1 had the lowest standard deviation.
D. The scores for period 1 had the lowest IQR.
The teacher being most pleased with the period 1 class suggests they had the highest median score, indicating a better overall performance by the majority in this class.
Explanation:The statement that would make the teacher most pleased with the exam scores in his period 1 class would be B. The scores for period 1 had the highest median.
This is because the median represents the middle score in a set of scores. If period 1 had the highest median, it means that at least half of the students in this class scored higher than those in his other classes.
In essence, it shows better overall performance by the majority of the class in period 1, which would make a teacher pleased with the results.
This conclusion may not necessarily hold if we choose other options; for example, low Standard Deviation or Interquartile Range (IQR) mainly speak to the consistency of scores, and lowest median would imply most of the class did not perform very well. Hence, the highest median would generally reflect the most favor on the class performance.
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The statement that would lead us to believe that the teacher was most pleased with the exam scores in his period 1 class is C. The scores for period 1 had the lowest standard deviation.
Explanation:The statement that would lead us to believe that the teacher was most pleased with the exam scores in his period 1 class is C. The scores for period 1 had the lowest standard deviation.
The standard deviation measures the spread of data around the mean. A lower standard deviation indicates that the scores in period 1 are closer to the average score, suggesting more consistency and potentially higher performance.
The other options, such as the median or IQR, do not directly relate to the teacher's satisfaction with the scores, as they focus on different aspects of the distribution.
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(14 + 6) + 11 Which of the following is equal to the expression listed above? A. (14 + 6) + (6 + 11) B. (14 + 6) × 11 C. 11 × 14 + 11 × 6 D. 14 + (6 + 11)
Answer:
The answer is D.
Step-by-step explanation:
(14 + 6) + 11 is equal to 14 + (6 + 11). The associative property of addition was used, which is when the equation is the same no matter how it is grouped.
(14 + 6) = 20, and 20 + 11 = 31.
(6 + 11) = 17, and 14 + 17 = 31.
They were grouped differently, but they had the same sum.
I hope this helped! :-)
if a football team has a 90% chance of making a field goal for three points and 35% chance of making a touchdown for seven point find the expected value of a touchdown
Answer:
[tex]V(X) = 2.45\ pts[/tex]
Step-by-step explanation:
We look for the expected value for a touchdown.
If X represents the number of points scored per touchdown scored, then X is a discrete random variable, and by definition, the expected value V (X) for a discrete random variable is defined as:
[tex]V(X) = \sum{XP(X)}[/tex]
Where P(X) is the probability that X will occur.
In the sample space of the random variable X there are two possible values.
[tex]X = 7[/tex] points (1 touchdown) with [tex]P(7) = 0.35[/tex]
[tex]X = 0[/tex] points (0 touchdown) with [tex]P(0) = 1-0.35 = 0.65[/tex]
Then the expected value V(X) is:
[tex]V(X) = 7P(7) + 0P(0)[/tex]
[tex]V(X) = 7(0.35) + 0(0.65)[/tex]
[tex]V(X) = 2.45\ pts[/tex]
Martha divides $94 amongst her friends. Leon gets twice as much money as K. Jill gets five more dollars than Leon. Isaac gets $10 less dollars than k. How much money does each friend get?
Let me see if I can solve this on my own.
So $94 is the first amount.
It got divided so, 94÷2 = $47
So, It's either $47 or this.
47 + 47 (or times 2) = 94 again. But gets five more dollars than Leon. So 94+5= 99 then -10 = 89 but 89 ÷ 2 = 44.5 but since money can't really be half. It's eithier $44 or $45 but in my opinion is $45.
So, these are the most reasonable answers. $47 or $45. You can pick the answer that you thinks makes more sense. This took a long time so I hope this helps!
Answer:
Leon gets money=$39.6
Jill gets money=$44.6
Issac gets money=$9.8
Step-by-step explanation:
We are given that Martha divides $94 amongst her friends.
We have to find that how much money each friend get .
Given k be any number .
Leon gets money =2k
Jill gets money=2k+5
Issac get money=k-10
According to question
[tex]2k+2k+5+k-10=94[/tex]
[tex]5k-5=94[/tex]
[tex]5 k=94+5[/tex]
[tex]k=\frac{99}{5}[/tex]
[tex]k=19.8[/tex]
Leon gets money=[tex]2\times 19.8[/tex]
Leon gets money=$39.6
Jill gets money=$39.6+5=$44.6
Issac gets money=$19.8-10=$9.8
What are the first three terms of the sequence defined by the recursive function , and ?
Answer:
The first three terms of the sequence are 6 , 10 , 8 ⇒ 2nd answer
Step-by-step explanation:
* Lets study the rule at first:
- [tex]a_{n}=a_{n-1}-(a_{n-2}-4)[/tex]
∴ [tex]a_{n}=a_{n-1}-a_{n-2}+4[/tex]
* That means to find a term add the difference between
the two consecutive term before it to 4.
* lets start with [tex]a_{6}=a_{5}-a_{4}+4[/tex]
∵ [tex]a_{5}=-2,a_{6}=0[/tex]
∴ [tex]0=-2 -a_{4}+4[/tex]
∴ [tex]0=2-a_{4}[/tex]
∴ [tex]a_{4}=2[/tex]
* Use [tex]a_{5}[/tex] to find [tex]a_{3}[/tex]
∵ [tex]a_{5}=a_{4}-a_{3}+4[/tex]
∴ [tex]-2=2-a_{3}+4[/tex]
∴ [tex]-2=6-a_{3}[/tex]
∴ [tex]a_{3}=6+2=8[/tex]
* Similar use [tex]a_{4}[/tex] to find [tex]a_{2}[/tex]
∵ [tex]a_{4}=a_{3}-a_{2}+4[/tex]
∴ [tex]2=8-a_{2}+4[/tex]
∴ [tex]2=12-a_{2}[/tex]
∴ [tex]a_{2}=10[/tex]
* Finally use [tex]a_{3}[/tex] to find [tex]a_{1}[/tex]
∵ [tex]a_{3}=a_{2}-a_{1}+4[/tex]
∴ [tex]8=10-a_{1} +4[/tex]
∴ [tex]8=14-a_{1}[/tex]
∴ [tex]a_{1}=14-8=6[/tex]
∴ The first three terms of the sequence are 6 , 10 , 8 ⇒ 2nd answer
Could some one help?
2. First blank is 60. Second blank is 38. Third blank is 50. Fourth blank is 18.
Hope this helps.
Answer:
A. 40/32
B. 60/50
C. 32/40
D. 32/50
E. 40/60
----------------------------------------
60,38,50,18
Step-by-step explanation:
use the information they give you in the equation
we know thee are 40 tulips, 32 roses, 60 daises, and 50 petunias
A. 40 tulips/32 roses
B. 60 daises/ 50 petunias
C. 32 roses/ 40 tulips
D. 32 roses/ 50 petunias
E. 40 tulips/ 60 daises
_________________________________________________
For the second problem :
We know the total student body so to find a percent of them you just divide the number of students by the total
95 sixth graders
------------------------ = 0.38 which is 38 percent
250 students
45 eighth graders
------------------------------ = 0.18 or 18%
250 students
Now to find the number of students first convert the percent to a decimal then multiply that by the total
24 % = 0.24 times 250
and that equals 60 students
and then 20 percent = 0.2 times 250
and that equals 50 students
If p is true and q is false, then p v q is true. True or false
Answer:
TRUE
Step-by-step explanation:
Given statement is "If p is true and q is false, then p v q is true".
Now we need to decide if the given statement is True or false
By definition of "p v q" , also read as "p OR q", we know that if any of p or q is true then value of "p v q" is always true.
Given that p is true then "p v q" must be true.
Whch is same as conclusion of the given statement.
Hence final answer is "TRUE".
Answer:
TRUE
Step-by-step explanation:
Given statement is "If p is true and q is false, then p v q is true".
Now we need to decide if the given statement is True or false
By definition of "p v q" , also read as "p OR q", we know that if any of p or q is true then value of "p v q" is always true.
Given that p is true then "p v q" must be true.
Whch is same as conclusion of the given statement.
Hence final answer is "TRUE".
A swimming pool is 6 meters wide and 10 meters long. Which fraction compares the pool's width to the pool's length?
10/6
5/3
3/2
5/2
10/6 is the answer.
Answer:
simplified form would be 3/2.
Step-by-step explanation:
stan bought a new tire for his carand paid $85 plus tax. if the tax rate is 8.5%, how much tax did stan pay?
if the tax rate is 8.5% stan payed $7.22
Answer:
Stan paid $7.23 in tax
Step-by-step explanation:
8.5/100=t/85
85•8.5=100t
722.5=100t
722.5/100=t
7.225=t
Fencing a garden is area right
Fencing a garden would be Perimeter because your trying to find how much fencing you would need so you can surround the garden.
The area of the garden is how much space there is. Ex. 5ft×9.5ft=47.5ft² . The 5ft would be the length of the garden, and the 9.5ft would be the width. But to find area, you would need to do L×W, or 5ft×9.5ft in this case for area.
But to find Perimeter, you need to do L+L+W+W. If we use the numbers from before for the area example, you would be doing 5ft+5ft+9.5ft+9.5ft, you would be getting 29ft.
If you want the definitions to better understand this, here they are:
Perimeter: the total distance around the edge of the figure.
Area: the number of unit squares that can be contained within it.(hence the reason "²" was at the end of the total in the example for area I provided.)
What is the total value 2 dimes,3 nickles and 2 pennies
Answer:
37 cents
Step-by-step explanation:
2 dimes= 20
3 nickels=15
2 pennies= 2
20+15+2=37
Answer:
37 cent
Step-by-step explanation:
nickles are 5 so three would be 15, dimes is 10 each so that would be 20, and pennies are 1 so two pennies =2 so the answer is 37 cent
Please help me answer this question. I dont understand any of this.. I will mark brainliest.
Answer:
A = 77.32
Step-by-step explanation:
Since this is a right triangle we can use trigonometric functions
sin = opposite side/ hypotenuse
sin A = 80/82
sin A =40/41
Take the inverse sin of each side
sin^-1 (sin A ) =sin ^-1 (40/41)
A =77.31961651
Rounding to the nearest hundredth
A = 77.32
Answer:
77.32°
Step-by-step explanation:
Using cosine law:
80² = 18² + 82² - 2(18)(82)cos
cosA = 9/41
A = 77.31961651°
I only have 5 minutes to answer please help!!
Florian ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles. Which shows the correct equation and value of x, the distance of 1 lap around the path at the park?
3.6x + 1.2 = 4.8; x = 1 mile
4.8x + 1.2 = 3.6; x = 1 mile
3.6x + 1.2 = 4.8; x = 0.5 mile
4.8x + 1.2 = 3.6; x = 0.5 mile
Answer:
The answer is D
Step-by-step explanation:
4.8 times 0.5 equals 2.4+ 1.2 = 3.6 which is the total number of miles he ran/walked
Hope it helped!
What is the equation to represent the graph (4,5)
Answer:
|x-4| +|y-5|=0
Step-by-step explanation:
There are many equations that will graph as the point (x, y) = (4, 5). One of them is ...
|x-4| +|y-5| = 0
A washing machine requires 27.5 minutes to wash one load of laundry. A clothes dryer requires 60% more time than the washing machine to dry one load of laundry. What is the total amount of time it takes to wash and dry one load of laundry? PLEASE HELP!!!!
If it takes a washer 27.5 minutes for a load and a dryer takes 60% of that time for a load, convert 60% to a decimal (0.6) and multiply by 27.5 → 27.5 * 0.6 = 16.5 which means it takes the dryer 16.5 minutes for a load. To find the total time it takes for a washer and a dryer to complete 1 load, simply add the two times. 27.5 + 16.5 = 44 minutes.
Azul has 4 green picks and no orange picks. You add orange picks so that there are 2 orange picks for every 1 green pick. How many picks are there now?
Answer:
12 picks total
Step-by-step explanation:
1. multiply 2 (orange picks) by 4 (green picks)
2*4=8 total orange picks
2. add green picks (4) + orange picks (8)
4+8=12
An observatory is shaped like a cylinder standing on one of its bases with a dome on top.The diameter of the floor of the observatory is 64 feet.Witch measurement is closest to the circumference of the base of the observatory in feet ?
Answer:
[tex]200.96\ ft[/tex]
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=\pi D[/tex]
in this problem
[tex]D=64\ ft[/tex]
substitute
[tex]C=\pi (64)=64\pi\ ft[/tex] -----> exact value of the circumference
Find the approximate value of the circumference
assume
[tex]\pi=3.14[/tex]
[tex]64\pi\ ft=64(3.14)=200.96\ ft[/tex]
The graph of the equation y = -1/4x + 1 is shown below.
Which statement best represents the value of y as shown in the graph?
A 1 less than the quotient of the value of x and 4
B 1 more than the opposite of the product of the value of x and 4
C 1 more than the opposite of the quotient of the value of x and 4
D 1 less than the product of the value of x and 4
The answer you should go with is A
What is the approximate measure of angle T in the triangle below?
Answer:
[tex]T=79\degree[/tex]
Step-by-step explanation:
Recall and use the cosine rule to find the approximate value of angle T.
[tex]|SU|^2=|ST|^2+|TU|^2-2(|ST|)(|TU|)\cos T[/tex]
We plug in the values of the side lengths to obtain;
[tex]4.3^2=3.9^2+2.7^2-2(3.9)(2.7)\cos T[/tex]
[tex]18.49=15.21+7.29-21.06\cos T[/tex]
[tex]18.49=22.5-21.06\cos T[/tex]
[tex]18.49-22.5=-21.06\cos T[/tex]
[tex]-4.01=-21.06\cos T[/tex]
[tex]4.01=21.06\cos T[/tex]
[tex]\frac{4.01}{21.06}=\cos T[/tex]
[tex]0.1904=\cos T[/tex]
[tex]T=\cos^{-1}(0.1904)[/tex]
[tex]T=79.02[/tex]
Angle T is approximately 79 degrees.
a rectangular fish tank 60 centimeters by 15 centimeters by 34 centimeters is 1/3 full of water. find the volume of water needed to fill the tank completly.
Answer:
[tex]20,400\ cm^{3}[/tex]
Step-by-step explanation:
step 1
Find the volume of the tank
[tex]V=(60)(15)(34)=30,600\ cm^{3}[/tex]
step 2
we know that
If the tank is 1/3 full of water
then
the volume of water required to completely fill the tank is equal to 2/3 of the tank capacity
so
[tex](2/3)30,600=20,400\ cm^{3}[/tex]
use a absolute value to write a rule for determining the distance between two points on a coordinate plane that have the same x-coordinate
Answer:
For two points (x,a) and (x,b), the distance would be |a-b| or |b-a| both would be the same.
Step-by-step explanation:
What is the rule without an absolute value? basically we are looking for the difference (which is the answer to a subtraction problem) between the two.
Say the two points are (x,a) and (x,b) So they have the same x value but different y values. Now, when you want to take the difference you usually want to subtract the smaller number from the larger, but hat happens if you don't? So instead subtract the larger number from the smaller number? I'm gonna show a few examples.
7-5 = 2
5 - 7 = -2
7 - 3 = 4
3 - 7 = -4
As you can see, no matter which order you subtract you will always get the same number, just either positive of negative. We are going to use that. Basically, we can have the two in either order, as long as we have them inside of an absolute value, we will always get the same answer.
so, for our two y values, a and b, it doesn't matter which is larger |a-b| = |b-a| and this is the distance.
The distance between two points that have the same x-coordinate on a coordinate plane can be calculated by taking the absolute difference of their y-coordinates. This calculation will always yield a positive value, reflecting the fact that distance is a scalar quantity.
Explanation:The distance between two points with the same x-coordinate on a coordinate plane (i.e., two points on a vertical line) can be determined using absolute value. If these points have y-coordinates of y1 and y2, the distance between them (d) is the absolute difference of their y-coordinates. Mathematically, this is expressed as:
d = |y2 - y1|
Here, the symbol '|' surrounding the difference represents the absolute value, which makes any negative result positive. For example, if we have points A(3, 4) and B(3, 1), using our rule, the distance between these points would be |1 - 4| = |-3| = 3 units.
This absolute value method ensures that the distance is always a positive number, regardless of whether y2 is bigger than y1 or not. This essentially reflects the basic principle of distance being a scalar (having only magnitude but not direction).
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liam deposits $2400 into an account that earns 8.3% interest compounded quarterly. how much money will liam have in 5 years.
Answer:
Total = 2,400 * (1 + (.083/4))^4*5
Total = 2,400 * (1.02075)^20
Total = 2,400 * 1.5079528829
Total = 3,619.09
Step-by-step explanation:
Answer:
$3,619.09
Step-by-step explanation:
liam deposits $2400 into an account that earns 8.3% interest compounded quarterly.
Compound interest formula is
[tex]A= P(1+ \frac{r}{n} )^{n*t}[/tex]
where A is the final amount
P is the initial amount deposited
r is the rate of interest
n is the compounding period
t is the time in years
P= 2400, r= 8.3%= 0.083, t=5, n=4 (quarterly)
Plug in all the values
[tex]A= 2400(1+ \frac{0.083}{4} )^{4*5}[/tex]
A= 3619.09