Answer:
y = 12
Step-by-step explanation:
Ordinarily, in math, when we say "the difference between ..." we mean the second listed item is subtracted from the first. (In English, we often mean "the positive difference between ..." so the order doesn't matter.)
We'll assume we are only interested in the case where the difference is in the order listed.
[tex]\dfrac{y+12}{y-4}-\dfrac{y}{y+4}=\dfrac{y+12}{y-4}\cdot\dfrac{y}{y+4}\\\\\dfrac{(y+12)(y+4)-(y-4)(y)}{y^2-16}=\dfrac{(y+12)(y)}{y^2-16}\\\\0=\dfrac{y^2-8y-48}{y^2-16}=\dfrac{(y-12)(y+4)}{(y-4)(y+4)}=\dfrac{y-12}{y-4}\qquad\text{$y\ne -4$}\\\\\boxed{y=12}[/tex]
There is one solution.
_____
Comment on the solution
If you were to "clear fractions" by multiplying the equation by (y^2-16), you would also obtain the extraneous solution y=-4. That is why we did not solve it that way.
A bedroom wall is to be painted around a window as shown below.
A rectangle with length 11 feet and width 10 feet. A smaller rectangle with length 3 feet and width 2 feet is cut out of the larger rectangle.
What is the area of the wall that will be painted?
A.6 feet squared
B.104 feet squared
C.110 feet squared
D.116 feet squared
Answer:B.104 feet squared
Step-by-step explanation:
First find the area of the rectangle 11×10=110 then find the area of the window 3×2=6 then subtract 110-6=104
Answer:
B
Step-by-step explanation:
the price increase of a set of golf clubs is from $250 to $750. What is the percent increase?
Answer:
300%
Step-by-step explanation:
3 times 250 is 750
How can I solve for c
Answer:
[tex](\frac{2}{5})c[/tex]
Answer:2/5c
Step-by-step explanation:
(a+b)/(a-b) =c
(a-b)/(a+b)=1/c
Multiply both sides by 2/5
2/5 x (a-b)/(a+b)=2/5 x 1/c
2(a-b)/5(a+b)=2/5c
1
2
5
6
7
A six-sided number cube is rolled twice.
What is the probability that the first roll is an even number and the second roll is a number greater than 4?
1
6
1
3
2
3
5
6
Answer:
1/6
Step-by-step explanation:
3/6 for even 3/6*2/6-----1/2*1/3
In a math class of 32 students, 18 boys and 14 are girls. On a unit test, 5 boys and 7 girls made an A grade. A student is chosen at random from the class. What is the probability of choosing a girl or an A student?
Answer:
14+7=21
The probability is 21/32 or 65,625%
Step-by-step explanation:
You just add the number of girl students (including the ones that got an A) with the number of boys that got an A
Then you divide that number by the total of students (32)
The probability of choosing a girl or an A grade student is 19/32.
What is probability ?Probability is the chance or possibility to occur any selected event.
If the number of possible outcomes of an event is divided by the total number of outcomea of the event then it is called probability of that particular event.
What is the required probability ?In a maths class,
The total number of students = 32
No. of boys = 18 & no. of girls = 14
On an unit test, 5 boys made an A grade whereas 7 girls made an A grade.
The probability of choosing a girl = 14/32 = P(A) (say)
And, The probability of choosing an A grade student = 12/32 = P(B) (say)
Hence, the probability of choosing an A grade student who is a girl = P(A∩B) = 7/32
∴ The probability of choosing a girl or an A grade student =
P(A∪B) = P(A)+P(B)-P(A∩B)
= 14/32+ 12/32-7/32
= 26/32-7/32
= 19/32
Hence, The required probability is 19/32.
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Sara needs 3 cups of orange juice and 2 cups of pineapple for punch recipe. She only has a half cup measure. How many half cups of juice does she need?
Explain your thinking here:
write your answer here:
Answer:
10
Step-by-step explanation:
3+2 = 5
5x2 (Because only half cups)
= 10
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 90 miles per hour. The westbound train travels at 100 miles per hour. How long will it take for the two trains to be 418 miles apart?
Answer:
2hrs and 36 mins that is the answer
Answer:
2 hrs 12 mins
Step-by-step explanation:
both trains are effectively getting 190 miles away from one another per hour. If you divide 418 miles by the 190 miles per hour, you get 2.2 hours.
6. A golfer is standing at the tee,
looking up to the green on a hill. If the
tee is 36 yards lower than the green
and the angle of elevation from the tee
to the hole is 12º, find the distance from
the tee to the hole.
Answer:
173.15 yards is the distance from tee to hole.
Step-by-step explanation:
Please refer to the image attached.
Let A is the position of tee and where the golfer is standing.
C is the position of hole.
CB is the vertical distance between greens and tee.
Angle of elevation, [tex]\angle BAC = 12^\circ[/tex]
To find: side AC.
Using trigonometric functions, we know that value of sine is:
[tex]sin\theta = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}[/tex]
Here [tex]\theta = \angle BAC = 12^\circ[/tex]
Perpendicular is side CB.
Hypotenuse is side AC.
[tex]sin12^\circ = \dfrac{\text{CB}}{\text{AC}}\\\Rightarrow \text{CB} = \dfrac{36}{sin12^\circ}\\\Rightarrow \text{CB} = 173.15\ yards[/tex]
Hence, 173.15 yards is the distance from tee to hole.
GIVING BRANLIEST Which prism has a greater surface area?
2 prisms. A rectangular prism has a length of 12 inches, height of 8 inches, and width of 6 inches. A triangular prism has a rectangular base with a length of 6 inches and height of 12 inches. 2 rectangular sides are 12 inches by 10 inches. The triangular sides have a base of 6 inches an height of 8 inches.
The rectangular prism has a greater surface area by 72 square inches.
The rectangular prism has a greater surface area by 88 square inches.
The triangular prism has a greater surface area by 72 square inches.
The triangular prism has a greater surface area by 88 square inches.
Answer:
Rectangular prism
Step-by-step explanation:
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
f is the correct option pls mark me as the brainliset
Answer:
D, E, F
Step-by-step explanation:
because you need to do this when you are gathering resources
Need help with Math question
Answer:
B; {x|x<-8}
Step-by-step explanation:
The cost, in dollars, to produce 1 watt of solar energy is a function of the number of years
since 1977.t.
From 1977 to 1987, the cost could be modeled by an exponential function. Here is the
graph of the function.
80
60
dollars per Watt
40
20
4
8
10
6
years since 1977
1. What is the statement f (9) 36 saying about this situation?
2. What is f(4)? What about f (3.5)? What do these values represent in this context?
3. When f(t) = 45, what is t? What does that value of t represent in this context?
4. By what factor did the cost of solar cells change each year? (If you get stuck consider
creating a table.)
Answer:
In the figure attached, the graph of the function is shown.
1. f(9) ≈ 6 means that at t = 9 (year 1977 + 9 = 1986) the cost to produce 1 watt of solar energy was $6
2. f(4) ≈ 25, which means at year 1981 (=1977 + 4) the cost was $25 per watt
f(3.5) ≈ 28, which means at half of year 1980 (=1977 + 3.5) the cost was $28 per watt
3. When f(t) = 45, t is equal to 2, which means that the year wass 1979 (= 1977 + 2)
4. From the graph we can compute the following table:
x | y
0 | 80
1 | 60
The general exponential decay formula is:
f(x) = a*b^x
where a is the initial value and b si the decay factor. Replacing with data from the table:
f(0) = a*b^0
80 = a
f(1) = a*b^1
60/80 = b
0.75 = b
The list below shows the prices of T-shirts at a clothing store,
{8, 10, 10, 12, 15, 15, 18)
Which statement best describes the mean of this set?
the difference between the least and greatest prices
the sum of the prices
the quotient of the difference between the least and greatest prices divided by 7
the sum of the prices divided by 7
Mark this and retum
Save and Exit
Next
Submit
I need to now this also thx for y’all help
Answer:
D ) the sum of the prices divided by seven
Step-by-step explanation:
The list below shows the prices of T-shirts at a clothing store.
{8, 10, 10, 12, 15, 15, 18}
( 8 + 10 + 10 + 12 + 15 + 15 + 18 ) ÷ 7
Which statement best describes the mean of this set?
D) the sum of the prices divided by 7
2021please mark brainliest
The statement best describes the mean of this set is the sum of the prices divided by 7.
What is Mean?Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.
Mean of a set of data can be found by adding all the values of the data set and by dividing by the total number of values in the data set.
Given data set is the prices of T-shirts at a clothing store.
{8, 10, 10, 12, 15, 15, 18}
Mean of the data set = Sum of the prices/ Total number of values
Sum of the prices = 8 + 10 + 10 + 12 + 15 + 15 + 18 = 88
Total number of value in the set = 7
Mean = 88 / 7 = 12.574
Hence the mean can be found by adding up all the prices divided by 7.
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17. The local hiking club went on a five day huling trip to Denali Nations
Park. The group departed with 60 pounds and returned with no food,
What is the slope of a graph for the amount of food over time (in
pounds per day?
Answer: The slope is 12 pounds per day.
Step-by-step explanation:
They consumed 60 pounds on food in 5 days.
The slope or rate at which they consummed the in a day can be calculated as the amount of pounds consumed in the lapse of time, this is:
slope = 60pounds/5days = 12 pounds per day.
Please help me with my work for math
Answer:
AAA
Stp-by-step explanation:
g Which one of the following best describes an advantage of using a Poisson distribution (Model 1) over the distribution in Model 2 to model X? It allows us to model the data continuously. It allows individuals to have an arbitrarily large number of siblings. It reduces the amount of unknowns needed for modeling.
Answer:
It reduces the amount of unknowns needed for modeling.
Step-by-step explanation:
Let's first look at the characteristics of poisson distribution.
The Poisson distribution has the following characteristics:
1. It is a discrete distribution.
2. The occurrences in each interval can range from zero to infinity.
3. Each occurrence is very independent of the other occurrences.
4. It helps describes discrete occurrences over an interval.
5. It reduces the amount of constant and unknown needed for modeling an equation.
Solve for x - y = -3
Answer:
0-3=-3
Step-by-step explanation:
1+34n
Square root 7
Need
Help with question
Answer:
what question is this
please explain more
Step-by-step explanation:
Each parking spot is 8 feet wide. A parking lot has 24 parking spots side by side. What is the width (measured in yards) of the parking lot?
Answer: 64 yards I think
Step-by-step explanation:
Answer: If it's just 8 feet wide, 64 yards, if 8 and 1/2, 68 yards.
Step-by-step explanation:
Use the magnitudes, rounded to two decimal places, of the 100100 earthquakes included in the accompanying data set to construct a frequency distribution. Use a class width of 0.500.50 and begin with a lower class limit of 0.000.00. Does the frequency distribution appear to be a normal distribution? LOADING... Click the icon to view the earthquake magnitudes. Construct the frequency distribution. Magnitude Frequency 0.000.00-0.490.49 1010 0.500.50-0.990.99 3333 11-1.491.49 3535 1.501.50-1.991.99 1414 22-2.492.49 66 2.502.50-3.993.99 22 (Type integers or decimals. Do not round.) Does the frequency distribution appear to be a normal distribution? The frequency distribution could reasonably be a normal distribution because the frequencies start low, increase, and then decrease, and are roughly symmetric.
Answer:
Step-by-step explanation:
Hello!
To arrange the data in a frequency table you have to determine the class intervals first. Normally you'd choose the number of intervals you want to work with and then calculate the class width by dividing the number ob observations, n, by the number of intervals, then, starting from the minimum value as the lower limit of the first interval, you add the width to calculate the upper interval. For the next interval, you use the upper limit from the previous one and add the width to determine the upper limit, and so on until you reach the desired number of intervals.
For this exercise the width was determined 0.50 and the lower limit for the first interval 0.00:
1st interval: 0.00+0.50= 0.50: [0.00; 0.50)
Then:
[0.50; 1.00)
[1.00; 1.50)
[1.50; 2.00)
[2.00; 2.50)
[2.50; 3.00)
Next is to arrange the data from least to greatest and count how many fit in each interval:
0 , 0,09, 0,18, 0,24, 0,31, 0,36, 0,39, 0,39, 0,41, 0,45, 0,55, 0,55, 0,63, 0,64, 0,64, 0,64, 0,64, 0,64, 0,69, 0,69, 0,71, 0,71, 0,73, 0,74, 0,78 ,0,79, 0,79, 0,79 ,0,83, 0,83, 0,83 , 0,85, 0,89, 0,91, 0,92, 0,92, 0,93,0,94, 0,98, 0,98 ,0,99, 0,99, 0,99,0,99, 1,01, 1,01, 1,01, 1,01, 1,22, 1,23,1,24, 1,24 , 1,24, 1,25 ,1,,25 , ,1,25,1,26 , 1,26, 1,27, 1,28 ,1,31 , 1,33 , 1,34 , 1,34 ,, 1,35, 1,35 , 1,38 , 1,39 , 1,41 , 1,42 , 1,42 , 1,43 , 1,44 , 1,44 , 1,45 , 1,46 , 1,49 , 1,49 , 1,56 , 1,56 , 1,62 , 1,63 , 1,65 , 1,65 , 1,75 , 1,77 , 1,78 , 1,78 , 1,82 , 1,85 , 1,96 , 1,98 , 2,19 , 2,21 , 2,23 , 2,24 , 2,47 , 2,49 , 2,95 , 2,97
See frequency table in attachment alongside with original data.
To check the distribution of the data I've made a QQ-plot with the Normal Quartiles (2nd attachment)
As you can see the Magnitude data is well-adjusted to the theoretical line for the normal distribution, this means that it is most likely that the data has a normal distribution.
I hope this helps!
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.
Answer:
A. -4
C. 3
Step-by-step explanation:
x² + x - 12 =0
-12 = 4*(-3) and 4+(-3) =1
(x+4)(x-3)=0
x = - 4, x = 3
Two figures are arranged as shown. Which of the following can be used to the area of the figure
shaded light gray?
9
9
Answer:
[tex]9^{2} -x^{2}[/tex]
Step-by-step explanation:
The figure is shown in the image attached.
Notice that the shaded light gray area can be calculated by the difference of the bigger square and the smaller square.
The area of the bigger square is: [tex]A_{big}=9^{2}[/tex]
The area of the smaller square is: [tex]A_{small}: x^{2}[/tex]
The difference between these areas is: [tex]A=9^{2} -x^{2}[/tex]
Therefore, the expression that can be used to find the light gray area is: [tex]9^{2} -x^{2}[/tex]
Additionally, the expression [tex]x(9-x)+9(9-x)[/tex] is also a right answer, because it's equivalent to the first answer.
[tex]x(9-x)+9(9-x)=9x-x^{2} +81-9x=81-x^{2} =9^{2} -x^{2}[/tex]
Use a vertical number line to think about how to represent the situation below. Then, answer the question.
A diver is 4 meters below sea level. What integer represents the location of the diver?
Answer:
it is negative four (-4)
Step-by-step explanation:
i got it correct on edg!
An integer to represent the situation is -4.
What is a number line?A number line is a representation of real numbers in the form of a graded straight line, it can be vertical or horizontal.
Given that, the driver is 4 meters below sea level.
Let the origin represents the sea level, then 4 meters below sea level can be represented by -4.
Hence, an integer to represent the situation is -4.
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At 3:30 P.M., the water level in a pool is 14 inches. At 4:00 P.M., the water level is 20 inches. At 5:00 P.M., the water level is 32 inches. What is the constant rate of change?
Answer: Per 1/2 an hour it is changes by 5 so the constanT rate would be: 5 inches per 1/2 an hour
What is volume of a cylinder with base area 64pi cm² and a height equal to twice the radius? Give your answer in terms of pi.
512 pi
256 pi
1024 pi
4096 pi
Answer:
1024 pi
Step-by-step explanation:
The area formula is ...
A = πr^2
So, the radius is ...
r = √(A/π)
For the given area, the radius of the cylinder is ...
r = √(64π/π) = 8 . . . . cm
The height is said to be twice this value, so is 16 cm.
__
The volume of the cylinder is found from ...
V = Bh
where B is the base area and h is the height. Our cylinder has a volume of ...
V = (64π cm^2)(16 cm) = 1024π cm^3
True or False: The height is always twice the length of tue base edge of any triangular pyramid.
Answer:
true
Step-by-step explanation:
3n3n3p0mdo98rueu33
Y= - x+2 Y=3x-4
Estimate the solution to the system of equations
Answer:
[tex]x=\frac{3}{2}\\ y=\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]y=-x+2\\y=3x-4[/tex]
Let's solve one of them for x.
[tex]y=3x-4[/tex]
Add 4
[tex]y+4=3x[/tex]
Divide by 3.
[tex]x=\frac{y+4}{3}[/tex]
Now, plug the value of y in the formula, or you can plug the value of x in the other equation. I'll take this one.
[tex]x=\frac{y+4}{3}[/tex]
[tex]x=\frac{(-x+2)+4}{3}[/tex]
[tex]x=\frac{-x+2+4}{3}[/tex]
[tex]x=\frac{-x+6}{3}[/tex]
Multiply by 3 to get rid of the denominator.
[tex]3x=-x+6[/tex]
add x
[tex]3x+x=6[/tex]
Combine like terms;
[tex]4x=6[/tex]
Divide by 4.
[tex]x=\frac{6}{4}[/tex]
Simplify.
[tex]x=\frac{3}{2}[/tex]
Now that you found the value of x, replace it in any of the equations to find y.
[tex]y=-x+2\\y=-(\frac{3}{2})+2\\ y=-\frac{3}{2}+2[/tex]
[tex]y=\frac{-3+2*2}{2} \\y=\frac{-3+4}{2} \\y=\frac{1}{2}[/tex]
Proof:
[tex]y=3x-4\\\frac{1}{2}=3(\frac{3}{2})-4\\\frac{1}{2}=(\frac{9}{2})-4[/tex]
[tex]\frac{1}{2}=\frac{9-4*2}{2}[/tex]
[tex]\frac{1}{2}=\frac{9-8}{2}[/tex]
[tex]\frac{1}{2}=\frac{1}{2}[/tex]
Patricia got a 5/25 balloon mortgage and her initial payments were $965. She
decided to refinance her balloon payment with a 30-year mortgage and her
new payments were $925. What is the total financed cost she paid for her
house?
A.341,459
B.390,900
C.34,020
D.337,320
Answer:
$390,900
Step-by-step explanation:
Given that.
Initial payment = $965
New rapayment = $925
when she decided to refinance her ballon payment with a 30 year mortgage
In this case,
a 5/25 ballon mortgage simply means loan repayment for the first 5 years is at a fixed rate.
Which means the total amount she paid in the first five years was=
12 * 5 * $965
= $57,900
When she refinanced the payment with a 30 year mortgage, her total payment
= $925 * 12 * 30years
= $333,000
Total financed cost Patricia paid =
$57,900 + $333,000
= $390,900
A study was conducted to determine if the salaries of librarians from two neighboring cities were equal. A sample of 15 librarians from each city was randomly selected. The mean from the first city was $28,900 with a standard deviation of $2300. The mean from the second city was $30,300 with a standard deviation of $2100. Construct a 95% confidence interval for mu 1minusmu 2.
Answer:
For the first city, the 95% confidence interval would be:
28,900 +/- 2300 x 3 = 28,900 +/-6900$
For the second city, the 95% confidence interval would be:
30,300 +/- 2100 x 3 = 30,300 +/- 6300$
If f(x) = 3x + 7, what is f(-2)?
Answer:
f(-2)= -2f
Answer: -2f
Slope of -2f: m= -2
Inverse of -2f: -f/2
Step-by-step explanation:
1: Simplify
2: Domain of -2f
3: Range of -2f
4: Parity of -2f: Odd
5: Axis interception points of -2f: X intercepts: (0,0), Y intercepts: (0,0)
Plotting: y= -2 x
Hope this helps.
