Answer:
x = p(m - n)
Step-by-step explanation:
Solve m=n+x/p for x. Start by eliminating the fraction: Multiply all three terms by p. Then we have mp = np + x, which is the same as x = mp - np, or
x = p(m - n)
A new car is purchased for $35, 000 and over time its value depreciates by
one half every 6 years. What is the value of the car 14 years after it was
purchased, to the nearest hundred dollars?
helpp meeee pleaseeee
Answer:
x≈49.457
y≈40.543
using trigonometry
Step-by-step explanation:
you basically jump type in the calculator shift then press the (sin/cos/tan) then put the ratio
i’ll give brainlist
Answer:
option B
option C
4:40pm
2:45pm
option d
3:30
Step-by-step explanation:
please consider as brainlest que.
PLS HELPPP WHAT IS THE ANSWER????
Answer:
212
Step-by-step explanation:
starting with (xy)
you first plug in x=2 and y=3
(2×3) = 6
then we add in the exponent of 3
6^3 = 216
this is because an exponent shows you how many times the number is multiple by itself (6×6×6)
next we work on x^4 by plugging in x=2
2^4=16
2×2×2×2
we do the same for x^2
2^2=4
2×2
next we do the division
16/4=4
finally we take the 216 and 4 and do the subtraction
216-4=212
solve the system:
2x+6y=36
x+4y=20
Let's solve this problem step-by-step
Let's set:
2x + 6y = 36 -- equation 1
x + 4y = 20 -- equation 2
(equation 2) * 2
2x + 8y = 40 -- equation 3
(equation 3) - (equation 1)
2y = 4
y = 2 -- equation 4
Plug (equation 4)'s value of y into (equation 2)
x + 4(2) = 20
x = 20 - 8
x = 12
Thus x = 12 and y = 2
Let's check, by substituting these values
[tex]2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20[/tex]
Answer: x = 12 and y = 2
Hope that helps!
simplify: (2x-3)(5x+1)
Answer:
[tex]\huge\boxed{\sf 10x^2-13x-3}[/tex]
Step-by-step explanation:
[tex]=(2x-3)(5x+1)\\\\=2x(5x+1)-3(5x+1)\\\\Distribute\\\\= 10x^2+2x-15x-3\\\\= 10x^2-13x-3\\\\\rule[225]{225}{2}[/tex]
Scott plans to cut wood with a chainsaw that operates on a fuel mixture of oil and gasoline.
• Scott knows the ratio for the mixture is 16 fluid ounces of oil for every 5 gallons of gasoline.
• Scott will create a mixture of the oil and gasoline and then fill the fuel tank of the chainsaw.
• The fuel tank of the chainsaw has a capacity of 12 fluid ounces.
.A full tank of the mixture allows Scott to operate the chainsaw for 40 minutes.
Part A
Scott has only 2 gallons of gasoline for the oil and gasoline mixture. How many fluid ounces of oil will Scott need to
add to the 2 gallons of gasoline to get the proper ratio for the mixture? Enter your answer in the first response box.
Answer:
It would take 6.4 fluid ounces. i think I got the same chainsaw or at least gas mix
Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.
Triangle 1: 3 in., 6 in., 7 in.
Triangle 2: 3 in., 6 in., 8 in.
Triangle 3: 3 in., 7 in., 8 in.
Triangle 4: 6 in., 7 in., 8 in.
How many of his triangles are obtuse?
1
2
3
4
Based on the calculations, the number of Jamal's triangle that are obtuse are: C. 3.
How to determine an obtuse triangle?In order to determine an obtuse triangle, we would apply Pythagorean theorem:
c² = a² + b²
Where:
c is the hypotenuse.a is the adjacent side.b is the opposite side.For an obtuse triangle, the square of the hypotenuse is greater than the sum of the square of both the adjacent and opposite side:
c² > a² + b²
For Triangle 1, we have:
7² > 6² + 3²
49 > 36 + 9
49 > 45 (obtuse triangle).
For Triangle 2, we have:
8² > 6² + 3²
64 > 36 + 9
64 > 45 (obtuse triangle).
For Triangle 3, we have:
8² > 7² + 3²
64 > 49 + 9
64 > 58 (obtuse triangle).
For Triangle 4, we have:
8² > 6² + 7²
64 > 36 + 49
64 < 85 (not obtuse triangle).
Read more on Pythagorean theorem here: https://brainly.com/question/16176867
#SPJ1
Answer: the answer is C 3.
Step-by-step explanation: it show below.
which graph shows the solution set for -5/2x-3<_2?
solving the equation given to us first:
-5x/2 = 5/1 ( ignore the ≤ symbol for now and replace with =) and cross multiply
you will get
-5x = 10
x = -10/5 ( minus doesn't stay in denominator so so we take up to numerator )
x = -2
so x ≤ -2
NOTE: if we have ≤ we shade the dot but if we have just < or we don't shade the dot.
soooo
x ≤ -2 will be going backwards
so the answer is option (C).
Hope this helps.
Good luck.
A new car is purchased for $ 33 , 000 $33,000 and over time its value depreciates by one half every 7 years. What is the value of the car 4 years after it was purchased, to the nearest hundred dollars?
The equation of the value of the car over a year is 2357.14x + y = 33,000. Then the value of the car 4 years after it was purchased is $23571.43.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A new car is purchased for $33,000 and overtime its value depreciates by one half every 7 years.
Then the value of the car is given by the linear equation. Then the line is passing through (0, $33,000) and (7, $16,500). Then we have
Let y be the value of the car and x be the number of years. Then we have
[tex]\rm y \ - \ 33000 \ \ = -\dfrac{16,500}{7} (x-0)\\\\y+2357.14x = 33000[/tex]
Then the value of the car 4 years after it was purchased, to the nearest hundred dollars will be
[tex]\begin{aligned} \rm y +2,357.14 \times 4 &= 33,000\\\\\rm y + 9,428.57 &= 33,000\\\\\rm y &= 23,571.43 \end{aligned}[/tex]
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ1
82, 62, 95, 81, 89, 51, 72, 56, 97, 98, 79, 85 order from least to greatest find the The median of the lower half of the data and The median of the upper half of the data is
Answer:
The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.
Step-by-step explanation:
Step 1: Order from least to greatest
51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98
Step 2: Determine the median of the lower half of the data
There are 12 numbers which means that there is going to be 6 numbers on both sides of the data. So using the first 6 numbers we will be able to determine the median of the lower half of the data.
51, 56, 62, 72, 79, 81
Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number. We can do that by adding them up together and dividing by 2.
(62 + 72) / 2 = 67
Step 3: Determine the median of the upper half of the data
So using the first 6 numbers we will be able to determine the median of the upper half of the data.
82, 85, 89, 95, 97, 98
Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number. We can do that by adding them up together and dividing by 2.
(89 + 95) / 2 = 92
Answer: The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.
The conditional relative frequency table was generated using data that compares the favorite subjects of male and female students at a high school. the survey was given to 120 male students and 180 female students. a 4-column table with 3 rows. the first column has no label with entries male, female, total. the second column is labeled math favorite subject with entries 0.35, 0.45, 0.41. the third column is labeled other favorite subject with entries 0.65, 0.55, 0.59. the fourth column is labeled total with entries 1.0, 1.0, 1.0. how many students in the survey said that math was their favorite subject? 42 81 120 123
The number of students in the survey said that math was their favorite subject is given by: Option D: 123
What is conditional relative frequency?Conditional relative frequency is relative frequency conditional to some special characteristic.
For this case, we're specified the following table:
[tex]\begin{array}{cccc}&\text{Math}&\text{Other favorite subject}&\rm Total\\\text{Male}&0.35&0.65&1.0\\\text{Female}&0.45&0.55&1.0\\\rm Total &0.41&0.59&1.0 \end{array}[/tex]
It is given that:
the survey was given to 120 male students andthe survey was given to 180 female studentsWe have to find how many students in the survey said that math was their favorite subject.
From males, 0.35 out of 1 male said math was their favorite subject. (since total in male is 1, showing that the row of males got conditional relative frequency conditional to the gender male, and relative to the total count of males).
Thus, as out of 1, there was 0.35 supporter of math (from males), so from 120 male students, there were [tex]120\times 0.35 = 42[/tex] male students who had chosen math as their favorite subject.
Similarly, 0.45 per 1 female student chose their favorite subject as math.
Since there are 180 female students, therefore, total [tex]180\times 0.45 = 81[/tex] female students had chosen math as their favorite subject.
So, total 42+81=123 students had chosen math as their favorite subject.
Thus, the number of students in the survey said that math was their favorite subject is given by: Option D: 123
Learn more about conditional relative frequency here:
https://brainly.com/question/12165221
Answer: D-123
Step-by-step explanation:
What is the equation of the directrix to the right of the center of = 1? express the answer in decimal format. x =
The equation of the directrix to the right of the center is equal to 2.8.
Given the following data:
(x - 1)²/9 - (y - 2)²/16 = 1.
How to determine the equation of the directrix?Mathematically, the standard equation of the directrix lines for a hyperbola of the form (x - h)²/a² - (y - k)²/b² = 1 is given by:
x = h ± a²/√(a² + b²)
Where:
a² = 9.b² = 16.h = 1.Substituting the given parameters into the standard equation, we have;
x = 1 ± a²/√(a² + b²)
x = 1 ± 9/√(9 + 16)
x = 1 ± 9/√25
x = 1 ± 9/5
x = 1 + 9/5
x = 1 + 1.8
x = 2.8.
Read more on directrix here: https://brainly.com/question/2346582
Answer: The answer is 2.8
Step-by-step explanation:
150% of a number is x. What is 100% of the number? Assume x>0
Answer:
0.667x
Step-by-step explanation:
150% = x
100% = ?
=> 100% * x / 150% = 0.667x
4. Find the area of the circle. Round to the nearest tenth. Us 34 in. can anyone help/answer?
Answer:
907.9 in²
Step-by-step explanation:
D = 2r
r = D/2
r = 34/2
r = 17 in
A = πr²
A = π(17)²
A = 289π
A ≈ 907.9 in²
Lauren has 12 boxes of rocks. There are 60 rocks total. How many rocks are in each box?
Answer:5
Step-by-step explanation: Divide 60 By 12
Answer:
the answer is 5 rocks.
Step-by-step explanation:
Sinice there are 12 boxes and has 60 rocks. So that means we will divide the two to get 5bwhich is in each box.
please help! it’s select all that apply :)
Answer:
•The function models exponential decay
•The rate of decay is 75%
•350 represents the amount of money Alicia had in the budget at the beginning of the summer
•Alicia spent $262.50 during the first week of summer
I need help with problem 22
Answer:
6 art course and 7 writing coures
There are 14 girls and 16 boys in Ms. Cherry's class. What is the ratio of girls to students in simplest form?
Answer:
7:15
Step-by-step explanation:
Total Students = 14+16 = 30
14:30
Divide by 2 on Both Sides
7:15
Answer: 7 to 15 hope it helps pretty Shure it will
Step-by-step explanation: I took the quiz
Graphs of Function,
Write in interval notation the areas of increase and decrease.
I don't need all of them answered maybe 1 or 2? I want to do some myself.
Thank you for any help on this.
Answer:
A function is increasing when the gradient is positive
A function is decreasing when the gradient is negative
Question 7
If you draw a tangent to the curve in the interval x < -2 then the tangent will have a positive gradient, and so the function is increasing in this interval.
If you draw a tangent to the curve in the interval x > -2 then the tangent will have a negative gradient, and so the function is decreasing in this interval.
If you draw a tangent to the curve at the vertex of the parabola, it will be a horizontal line, and so the gradient at x = -2 will be zero.
The function is increasing when x < -2
[tex](- \infty,-2)[/tex]
The function is decreasing when x > -2
[tex](-2, \infty)[/tex]
Additional information
We can actually determine the intervals where the function is increasing and decreasing by differentiating the function.
The equation of this graph is:
[tex]f(x)=-2x^2-8x-8[/tex]
[tex]\implies f'(x)=-4x-8[/tex]
The function is increasing when [tex]f'(x) > 0[/tex]
[tex]\implies -4x-8 > 0[/tex]
[tex]\implies -4x > 8[/tex]
[tex]\implies x < -2[/tex]
The function is decreasing when [tex]f'(x) < 0[/tex]
[tex]\implies -4x-8 < 0[/tex]
[tex]\implies -4x < 8[/tex]
[tex]\implies x > -2[/tex]
This concurs with the observations made from the graph.
Question 8
This is a straight line graph. The gradient is negative, so:
The function is decreasing for all real values of x
[tex](- \infty,+ \infty)[/tex]
But if they want the interval for the grid only, it would be -4 ≤ x ≤ 1
[tex][-4,1][/tex]
Question 9
If you draw a tangent to the curve in the interval x < -1 then the tangent will have a negative gradient, and so the function is decreasing in this interval.
If you draw a tangent to the curve in the interval x > -1 then the tangent will have a positive gradient, and so the function is increasing in this interval.
If you draw a tangent to the curve at the vertex of the parabola, it will be a horizontal line, and so the gradient at x = -1 will be zero.
The function is decreasing when x < -1
[tex](- \infty,-1)[/tex]
The function is increasing when x > -1
[tex](-1, \infty)[/tex]
which shows a right triangle
Answer:
2nd one - blue triangle
Step-by-step explanation:
A right angle triangle is a triangle that has a angle of 90°
Therefore our answer is second one - blue triangle.
Hope this helps and branliest please
Answer:
2nd triangle.
Step-by-step explanation:
For a triangle to be considered as a eight triangle it should have one angle which is equal to 90° in measure.
Here, the second triangle has 90° & hence is a right triangle.
________
Hope it helps ⚜
The selling price of a sweater is the cost plus the markup minus the discount. Write an expression to show the selling price s of a sweater. Use c for cost, m for markup, and d for discount.
Answer:
Step-by-step explanation:
Selling price = Cost price + Marked price - discount
s = c + m - d
Luke and Quinten are discussing what shapes the composite figure can be broken into. Luke wants to break it into four right triangles and one rectangle. Quinten wants to break it into two right triangles and two rectangles. Who identified a correct way to break up the shape?
A. Luke
B. Quinten
C. Both Luke and Quinten
D. Neither Luke nor Quinten
Answer:
it's C
Step-by-step explanation:
i took the test and got it right
Answer:
it's [C] I got it right on my test
Step-by-step explanation:
Please help me pretty please
Answer: D.
Step-by-step explanation:
The equation [tex]f(x) = (x-1)^{2} - 2[/tex] works only for option D. If x is 2, for example, the equation would look like this: [tex]f(2) = (2-1)^{2} - 2[/tex]. This equals [tex](1)^{2} - 2[/tex] which equals negative one. Therefore, when x is 2, y is -1. All of the graphs have the point (2, -1). We can still tell though that it is not A or B because there are spaces in between the points. If x = 2.2, the equation would not work for A or B because there is not a point with an x value of 2.2. This is different for both C and D. Δ
Answer C ends off early. There are endpoints to the figure. If x = 4, the equation would not work. This is because there is no point in answer C that has an x value of 4. On the other hand, question D does have a point with an x value of 4.
If x = 4, the equation looks like [tex]f(4) = (4-1)^{2} - 2[/tex].
We can simplify this to [tex]f(4) = (3)^{2} - 2[/tex]
and then [tex]f(4) = 7[/tex]
This means that when x is 4, y is 7. This is true for no graph but option D. Therefore the answer to this problem is D.
In △ABC, ∠B is a right angle, AB=30, and sec A=5/3. Find the value csc C in fraction and in decimal form.
Answer:
csc C = 5/3 = 1. (6)
Step-by-step explanation:
Given:
∠B = 90° is a right angle
AB = 30
We know that:
sec A = 5/3 = 1/ cos A = 1/ ( adjacent side/hypothenuse) =
hypothenuse/ adjacent side to angle A
csc C = 1/ sin C = 1/ sinC = 1/ (opposite side /hypothenuse) =
hypothenuse/ opposite side to angle C
Note that :
adjacent side to angle A is the same as opposite side to angle C
Therefore sec A = csc C = 5/3 ( fraction form) = 1.(6) (decimal form)
100 points. Send notes for volume of prisms and cylinders - gradpoint
Answer:
V = Bh = πr2h
Step-by-step explanation:
What is the mistake NEED ANSWER ASAP
Answer:
The answers are in the image.
Step-by-step explanation:
Charlie made the mistake by not getting the equation equal to zero.
[tex]x^2 - 9x + 8 = 16[/tex]
Subtract 16 to both sides making it equal to 0.
[tex]x^2 - 9x - 8 = 0[/tex]
Using Quadratic Formula to Solve for x.
Find the lateral surface area and surface area of a cone with a base radius of 4cm and a slant height of 10cm.
Answer:
Lateral surface: 135.34
surface area: 185.61
Step-by-step explanation:
Lateral surface formula: AL=πrh2+r2
surface area formula: A=πr(r+h2+r2)
12. If Aryial can read 3 pages of his book in 6 minutes. How many pages can he read in
Se an hour at the current rate?
Answer:
30 Pages
Step-by-step explanation:
Make a ratio:
[tex]\frac{3}{6} =\frac{x}{60}[/tex]
Cross multiply:
180=6x
Divide both sides by 6:
x=30
Answer:
30
Step-by-step explanation:
divide 60 by 6 and you get 10. Then take 10 and times it by 3
the ratio of angles in a triangle is 11:6:7. find the largest angle
Answer:
Step-by-step explanation: