Answer:-7n-21-8-64n
-71n-29
Step-by-step explanation:
Answer: -71n - 29
Step-by-step explanation:
-7n - 21 -8 - 64n
Collect like terms:
-7n - 64n -21 - 8
solve the system of equations below. x-2y=3 2x-3y=9
Answer: x = 9, y = 3
Step-by-step explanation:
9 - 2(3) = 3
9 - 6 = 3
2(9) - 3(3) = 9
18 - 9 = 9
Answer:
x=9, y= 3
Step-by-step explanation:
x-2y=3
2x-3y=9
Multiply the first equation by -2
-2x +4y = -6
Add this to the second equation
-2x +4y = -6
2x-3y=9
------------------
y = 3
Now find x
x -2y =3
x -2(3) = 3
x-6 = 3
Add 6 to each side
x = 9
Which of the following is not an attribute of parallelograms? Opposite sides are parallel. Consecutive angles are supplementary. Diagonals bisect each other. Diagonals are congruent.
Answer:
Diagonals are congruent
Step-by-step explanation:
The diagonals of a parallelogram are not congruent; one is longer than the other
Hosn is a picture framer. He is framing a picture that is 24 inches by 32 inches with a
frame that is 2.5 inches wide. What is the outer perimeter of the framed picture In yards, feet, and inches.
Answer: 122 sq. in.
Step-by-step explanation:
P = 2 (l + w)
P = 2 (34.5 + 26.5)
P = 2 x 61
P = 122 sq. in. = 0.847 sq ft = 0.0941 sq. yards
Perimeter is the sum of the side lengths of a shape. The outer perimeter of the framed picture is:
132 inches3.67 yard11 feetGiven that:
[tex]Length = 24in\\Width = 32in[/tex]
The width of the frame is given as:
[tex]Frame =2.5in[/tex]
So, the actual length and width of the framed picture is:
[tex]Length =24 + 2.5 + 2.5[/tex]
[tex]Length =29in[/tex]
[tex]Width = 32 + 2.5 + 2.5[/tex]
[tex]Width = 37in[/tex]
The outer perimeter (P) in inches is:
[tex]P= 2 \times (Length + Width)[/tex]
So, we have:
[tex]P= 2 \times (29in + 37in)[/tex]
[tex]P= 132in[/tex]
The perimeter in yard, is as follows:
[tex]P= \frac{132}{36}yd[/tex]
[tex]P = 3.67yd[/tex]
The perimeter in feet is as follows:
[tex]P= \frac{132}{12}ft[/tex]
[tex]P = 11ft[/tex]
Hence, the outer perimeter of the frame is 132 inches
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What would be the answer and how would i get it?
Answer: c
Step-by-step explanation:
I very easy solve for x> then you take -3 -2 1,0 in order to get your answer
Answer:
x = {-3, -2, -1, 0, 1}
Step-by-step explanation:
We need to find the set that satisfies the inequality x > -4 ∩ x ≤ 1.
∩ means find the members that are common between two sets.
This means that we need to find the set of all integers that satisfy x > -4 and x ≤ 1
So, to find the low end, we find the lowest integer that satisfies x > -4, which is -3.
Now, to find the high end, we find highest integer that satisfies x ≤ 1, which is 1.
So x = {-3, -2, -1, 0, 1}
What does BC equal? Round your answer to the nearest tenth.
A. 22
B. 15.01
C. 2.14
D. 455
[tex]answer \\ = 15.01 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
A circle fits in a square with sides of 12 inches what is the appt area of the shaded region. Between the square and circle using 3.14 and round to nearest whole number
Answer:
144-36π sq. in.
Step-by-step explanation:
Need answers quick. Find the endpoint of the line segment with the given endpoint and midpoint. Endpoint: (−6,−6) Midpoint: (−2,0)
Answer: The second endpoint is (2,6)
Step-by-step explanation:
[tex]\frac{-6 +x}{2}[/tex] = -2 solve for x
-6 +x = -4
+6 +6
x= 2
[tex]\frac{-6+y}{2} = 0[/tex]
-6 + y = 0
+6 +6
y= 6
Johann baked 24 cookies for a picnic with his
friends. Of the 10 friends he invited, 7 friends
were able to attend the picnic. If Johann gave -
each of his friends the same number of
cookies and had 3 cookies left for himself, how
many did each friend get?
Answer: Each friend got 3 cookies.
Step-by-step explanation:
Johann gets three cookies so 24-3=21. Divide it by the seven friends that came. 21/7=3 cookies.
Answer:
Step-by-step explanation:
So 7 of his friends came to the party and 3 cookies were left for himself. To find how many cookies each friend got, first subtract the 3 cookies Johann has from the total.
24-3=21
Then divide 21 by the number of friends.
21÷7=3
So each friend got 3 cookies.
18 POINTS! At the AoPS office, mice vary inversely with cats, that is, mice=k/cats, for some value of k. When there are 3r-19 cats, there are 2r+1 mice, and when there are 6r-27 mice, there are r-5 cats. Find k. Please help, and do not answer with an "I don't know" or "Sorry, this is too hard." Thank you all!
Answer:
k=30
Step-by-step explanation:
The number of mice vary inversely with cats. This is written as:
[tex]Mice \propto \dfrac{1}{Cat} \\Mice = \dfrac{k}{Cat}[/tex]
When there are 3r-19 cats, there are 2r+1 mice
[tex]2r+1 = \dfrac{k}{3r-19}\\$Cross multiply$\\k=(3r-19)(2r+1)[/tex]
When there are 6r-27 mice, there are r-5 cats.
[tex]6r-27 = \dfrac{k}{r-5}\\$Cross multiply$\\k=(6r-27)(r-5)[/tex]
Taking the values of k above, we have:
[tex]k=(3r-19)(2r+1) =(6r-27)(r-5)\\(3r-19)(2r+1) =(6r-27)(r-5)\\6r^2+3r-38r-19=6r^2-30r-27r+135\\$Collect like terms\\6r^2-6r^2+3r+30r-38r+27r-19-135=0\\22r-154=0\\22r=154\\$Divide both sides by 22\\r=7[/tex]
Therefore:
[tex]k=(3r-19)(2r+1) \\=(3*7-19)(2*7+1)\\=(21-19)(14+1)\\=2*15\\k=30[/tex]
Please answer !!!!!!!! Will mark brainliest !!!!!!!!!!!
No because to be a function, each dot on the graph would need to be located at its own x value. Looking at the graph you see two dots located at x = 5 so it is not a function.
What is the decay factor in y = 760(0.75)3?
Answer:
Decay factor is 0.75.
Step-by-step explanation:
The given function is
[tex]y=760(0.75)^3[/tex] ...(1)
The general form of exponential decay function is
[tex]y=a(1-r)^t[/tex] ...(2)
where, a is initial amount, t is the time period, r is decay rate and (1-r) is the decay factor.
On comparing (1) and (2), we get
[tex]a=760, t=3, (1-r)=0.75[/tex]
Therefore, the decay factor is 0.75.
In Need OF HELP !!!!!!!!
how do you Solve. 21r<7
Answer:
r < 1/3
Step-by-step explanation:
21r<7
Divide each side by 21
21r/21<7/21
r < 1/3
Answer:
[tex] r < \frac{1}{3} \\ [/tex]
Step-by-step explanation:
[tex]21 \: r < 7 \\ \frac{21 \: r}{21} < \frac{7}{21} \\ r < \frac{1}{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Using the measurements given below, find the hypotenuse of the triangle.
Leg = 20 units
Leg = 21 units
400 units
841 units
29 units pleaseee hurry up its in a test im taking rn
Answer:
In the triangle shown, AB = 11, BC = 61. Find AC. Right Triangle ABC v2. 3,600; 3,842; 60; 62. 4. Using the following measurements, find the length of the leg of the right triangle. leg = 5
Step-by-step explanation:
Not sure if that's helpful, but hope it is.
What is an equation of the line that passes through the point (8,-8) and is
perpendicular to the line 4x – 3y = 18?
Answer:
y = -3/4x - 2
Step-by-step explanation:
You put the equation in the slope-intercept form. Remember that the perpendicular slope is the negative reciprocal. You plug in the slope and the point into the slope-intercept formula. Solve for b then plug it into the final formula.
The equation of the line that passes through the point (8,-8) and is
perpendicular to the line 4x – 3y = 18 is;
⇒ 3x + 4y = -8
Here,
The point is (8, -8)
And, The equation of line is, 4x - 3y = 18
What is Equation of line?
The equation of line passes through points (x₁, y₁) and has slope m is;
y - y₁ = m₂ (x - x₁)
Now,
The point is (x₁, y₁) = (8, -8)
And, The equation of line is, 4x - 3y = 18
Put into the slope form as;
4x - 3y = 18
4x - 18 = 3y
y = (4/3)x - 6
Hence, Slope of the given line = 4/3
The slope (m₁) of perpendicular line relationship is;
4/3 * m₂ = -1
m₂ = -3/4
Hence, slope of perpendicular line (m₂) = -3/4
So, The equation of line by using point/slope form is;
y - y₁ = m₂ (x - x₁)
y - (-8) = -3/4 (x - 8)
y + 8 = -3/4 (x - 8)
4 (y + 8) = -3 (x - 8)
4y + 32 = -3x + 24
3x + 4y = -8
Hence, The equation of the line that passes through the point (8,-8) and is perpendicular to the line 4x – 3y = 18 is;
⇒ 3x + 4y = -8
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If 2> -a, then a < -2.
True
False
Answer:
False
Step-by-step explanation:
Flip the equation.
−a<2
Divide both sides by -1.
a>−2
The sum of the interior angles of a polygon is 8,100. How many sides does the polygon have?
Answer:
explanation below
Step-by-step explanation:
(n - 2) * 180 = 8100
n - 2 = 8100/180
n - 2 = 45
n = 45 + 2
n = 47 sides <---answer
happy to help ya :)
A chemical is studying the properties of a gas under various conditions. He observes that when the gas is at room temperature and low pressure, it behaves as an ideal gas. When the gas is cooled to 10 kelvin and is placed under high pressure, however, it deviates significantly from an ideal gas.
Answer;
Explanation:
CHECK THE COMPLETE QUESTION BELOW:
chemist is studying the properties of a gas under various conditions. He observes that when the gas is at room temperature and low pressure, it behaves as an ideal gas. When the gas is cooled to 10 kelvin and is placed under high pressure, however, it deviates significantly from an ideal gas. Explain these observations.
ideal gas reffered to as one that has the collisions between its atoms or molecules perfectly eleastic and in which there are no intermolecular attractive forces existing between them. The ideal gas concept is important because it obeys the ideal gas law.
Which is PV=nRT
Where P is the pressure
T is the Temperature
V is the Volume
R is ideal gas constant
n is amount of substance
The ideal gas model assumes that gas particles experience no intermolecular attractions. These are the behavior of gases under different condition
✓At low temperature, gas particles move slowly.
-✓At high pressures, gas particles are very close together.
✓ When the particles of gases are close they have low speed and their low speed allow intermolecular forces to become important at high pressure and low temperature.
OBSERVATION S:
At room temperature which is comfortable ambient temperature, generally taken as about 20°C to 25C
Gases behave non ideally at cold temperatures, So when the gas is cooled to 10Kelvin, molecules are moving relatively slowly past one another, then they give room for the repulsive and/or attractive forces between their molecules giving room for deviation from an Ideal Gas.
The intermolecular forces cause the gas to deviate from ideal behavior So, the reason why a gas deviate from ideal behaviour may be due to some two assumptions of kinetic theory of gases. The forces of attraction between gas molecules are negligible. When the gas is placed under high pressure the gas molecules get more crowded and the amount of empty space between the molecules is reduced.
--
Answer:
Ideal gas explains the property of gas that has no inter-molecular attractions irrespective of temperature and pressure.
Explanation:
Ideal gases assumes that the gases would experience no inter-molecular attraction and collision with other gases.
These gases are perfectly exhibiting elastic collision in nature.
The particle of gases moves slowly at lower temperature and the gases would become close when they exhibit high pressure.
The "closeness of the gas-particle" and "low-speed characteristics" are the important observations noted.
The inter-molecular forces deviate the property of gases from ideal gas behavior.
Step-by-step explanation:
Please help I’m really struggling with this
Answer:
[tex]y=\frac{1}{3} x+4[/tex]
Step-by-step explanation:
A linear equation is written as [tex]y=mx+b[/tex], "m" being the slope and "b" being the y-intercept.
The slope is how many times you rise/run in order to get from one point on the line to the next. You rise (go up/down) 1 unit and run (go left/right) 3 units. Plug in the numbers and you get 1/3.
The y-intercept is where the graph lands on the y-axis, which is 4.
y = 1/3x + 4
Step-by-step explanation:
y = ax + b
b = the intercept with the y-as.
In the graph, the linear function (which is a fancy word for a line), you can see that the incline with the y-axis is at point (0,4).
So, b = 4
a = slope or incline.
To easilly find "a", you can follow these steps:
1. You choose two "nice" poins.
2. Starting on one point of the line, you count how many units you need to go in horizontal direction and in vertical direction to end upon the another point on the line.
3. The fraction a = y units/x units
1. Choose two nice point
Starting from (0,4) and going to the next "nice" point for example (3, 5).
2. Horizontal 3 units to the right, and 1 unit up.
3. a = y units/x units
a = 1/3
y = 1/3x + 4
What is the contrapositive of the conditional statement? If two variables are directly proportional in the graph is a linear function
John bought a new home in 2002. The value of the home increases 4% each year. If the price of the house is $375,000 in 2020, how much did he pay for it in 2002?
Calculate the surface area of the tent :
(Problem number 6)
Answer:
374 feet^2
Step-by-step explanation:
Surface area:
area of cross section x 2 = 110feet^2
area of tope x 2 = 264 feet^2
sum / Surface area: 374 feet^2
What is the relation between the variables in the equation x= -3/y? a. y varies directly as x c. y varies jointly as x b. y varies inversely as x d. none of the above
Answer:
(b)
Step-by-step explanation:
This is inverse variation. As y increases (but not allowed to be zero), x decreases. Thus, (b) is correct: y varies inversely with x.
The relation between the variables in the equation x= -3/y. Thus, (b) is correct, y varies inversely with x.
What is directly proportional and inversely proportional relationship?Let there are two variables p and q,
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex]
where, that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n are two variables.
Then, m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
where c is a constant number called constant of proportionality.
This inversely proportional relationship is denoted by;
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As , increasing one variable will decrease the other variable if both are inversely proportional.
Here the relation between the variables in the equation x= -3/y;
This is inverse variation, As y increases (but not allowed to be zero), x decreases.
Thus, (b) is correct, y varies inversely with x.
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Given f(x) = -2x³ + x² - 2 find f(1)
Answer:
-3
Step-by-step explanation:
[tex]f(x)=-2x^3+x^2-2 \\\\f(1)=-2(1)^3+(1)^2-2= \\\\-2+1-2=\\\\-3[/tex]
Hope this helps!
Expand and Simplify (x+7)(x+5)
Answer:
[tex]=x^2+12x+35[/tex]
Step-by-step explanation:
[tex]\left(x+7\right)\left(x+5\right)[/tex]
[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
[tex]a=x,\:b=7,\:c=x,\:d=5\\=xx+x\cdot \:5+7x+7\cdot \:5\\=xx+5x+7x+7\cdot \:5\\=x^2+12x+35[/tex]
Put these in size order
5.6x10^-7
8.6x10^-9
5.6x10^-8
Answer:
Largest: [tex]5.6*10^{-7}[/tex]
Middle: [tex]5.6*10^{-8}[/tex]
Smallest: [tex]8.6*10^{-9}[/tex]
Step-by-step explanation:
Largest: [tex]5.6*10^{-7}[/tex] because -7 is the largest of the 3.
Middle: [tex]5.6*10^{-8}[/tex] because -8 is smaller than -7 but greater than -9
Smallest: [tex]8.6*10^{-9}[/tex] because -9 is the smallest of the 3
What’s the logarithmic form equation?
Answer: i hope this will help you
a^x=y this is a simple equation
where as loga(in the base) y=x this is a logarithmic equation
In a condominium complex, 2/3 of the women are married to 3/4 of the women. What part of the entire population is married? Please show work
Answer:
(QUESTION CORRECTNESS : 2/3 OF MEN ARE MARRIED TO 3/4 OF WOMEN)
Part of Entire Population married = 12/17 = 70.58%
Step-by-step explanation:
Fraction of men married:
[tex]\frac{2}{3}=\frac{4}{6}=\frac{6}{9}=\frac{8}{12}..........[/tex]
Fraction of women married:
[tex]\frac{3}{4}=\frac{6}{8}=\frac{9}{12}=\frac{12}{16} .........[/tex]
To solve the problem, we know that number of husbands should be equal to number of wives.
Number of husbands and wives are represented by the numerators of both fractions.
We have to find such a multiple of each fraction such that there numerator are same.
Let fraction of men married: [tex]\frac{6}{9}[/tex]
Let fraction of women married: [tex]\frac{6}{8}[/tex]
Add the numerators and denominator to find the solution:
[tex]\frac{6+6}{9+8}= \frac{12}{17}[/tex]
The table shows ordered pairs of the function y = 16 + 0.5x .
A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 1, x, 10. The second column is labeled y with entries 14, 15, 16, 16.5, y, 21.
Which ordered pair could be the missing values represented by (x, y)?
(0, 18)
(5, 19.5)
(8, 20)
(10, 21.5)
Answer: The missing values represented by x and y are 8 and 20, that is;
(x, y) = (8, 20)
Step-by-step explanation: The function y = 16 + 0.5x is a linear equation that can be solved graphically. This means the values of both variables x and y can be found on different points along the straight line graph.
The ordered pairs simply means for every value of x, there is a corresponding value of y.
The 2-column table has values for x and y which all satisfy the equation y = 16 + 0.5x. Taking the first row for example, the pair is given as (-4, 14).
This means when x equals negative 4, y equals 14.
Where y = 16 + 0.5x
y = 16 + 0.5(-4)
y = 16 + (-2)
y = 16 - 2
y = 14
Therefore the first pair, just like the other four pairs all satisfy the equation.
Hence, looking at the options given, we can determine which satisfies the equation
(option 1) When x = 0
y = 16 + 0.5(0)
y = 16 + 0
y = 16
(0, 16)
(option 2) When x = 5
y = 16 + 0.5(5)
y = 16 + 2.5
y = 18.5
(5, 18.5)
(option 3) When x = 8
y = 16 + 0.5(8)
y = 16 + 4
y = 20
(8, 20)
From our calculations, the third option (8, 20) is the correct ordered pair that would fill in the missing values x and y.
Answer:
The missing values represented by x and y are 8 and 20, that is;
(x, y) = (8, 20)
Step-by-step explanation:
Solve for y: 5-3y - 8y = 121 *
Answer:
y= -116/11
Step-by-step explanation:
5-3y-8y=121
5-11y=121
5-5-11y=121-5
-11y=116
-11y/-11=116/-11
y= -116/11