Answer: 108? I think haha-
Answer:
39
Step-by-step explanation:
6x6 is 36, and plus 3 it equals 38.
Add one.
39.
Evaluate A^2-B^2 for A = 3 and B = -4
A.) -7
B.) -2
C.) 25
Answer:
A.) -7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightStep-by-step explanation:
Step 1: Define
A² - B²
A = 3
B = -4
Step 2: Evaluate
Substitute: 3² - (-4)²Exponents: 9 - 16Subtract: -7The perimeter and area of a rectangle are 22 cm
and 30 cm² respectively. Find the length and
breadth of the rectangle
The perimeter and area of a rectangle are (5,6) and (6,5).
The perimeter method for a rectangle states that P = (L + W) × 2, where P represents perimeter, L represents length, and W represents width. when you are given the size of a square form, you may simply plug within the values of L and W into the formula that allows you to clear up for the fringe.
A perimeter is a closed course that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional period. The perimeter of a circle or an ellipse is known as its circumference. Calculating the perimeter has several practical programs.
The perimeter P of a rectangle is given by means of the method, P=2l+2w, in which l is the period and w is the width of the rectangle. The place A of a rectangle is given with the aid of the components, A=lw, wherein l is the length and w is the width.
The perimeter of the rectangle:
P=2l+2w=22
divide 2 into both sides
l+w=11 -------------> (1)
w=11-l
Area of the rectangle:
l*w=30
l(11-l)=30
11l-l^2-30=0
l^2-11l+30=0
By factor method,
(l-5)(l-6)=0
l=5,6.
Substitute this value in w,
l=5 implies w=6
l=6 implies w=5
There we have two solutions.
The length and breadth of the rectangle is
(5,6) and (6,5).
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Use the unit price of gasoline at both gas stations to determine which gas station charges more for gasoline (gallons). Be sure to include the unit prices in your answer. Show or explain your work.
Answer: Gas station P
Step-by-step explanation:
When you plot gas station M on the graph all the values are under the line meaning it gas at station M costs less than station G.
Gas station P charges more than gas station M.
What is unit rate?A unit rate means a rate for one of something.
Given is a table and a graph,
When we compare each, we get,
Gas station P is charging $20 for 5 gallons, and gas station M charges $19 for same.
Hence, gas station P charges more than gas station M.
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Find the domain of the inverse function w-1 (x) . Express your answer as in inequality
Answer:
ANSWER
Step-by-step explanation:
Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.
If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).
For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.
Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.
Can someone pls help me right quick hurry pls
Answer:
b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
4 in hundreds (400)
3 in ones (3)
2 in tenths (.2)
9 in hundredths (.09)
find r^3+1/r^3 if r+1/r=sqrt2
Recall that
\((a+b)^3=a^3+3a^2b+3ab^2+b^3\)
which means
\(\left(r+\dfrac1r\right)^3=r^3+3r^2\left(\dfrac1r\right)+3r\left(\dfrac1r\right)^2+\left(\dfrac1r\right)^3=r^3+3r+\dfrac3r+\dfrac1{r^3}\)
Given that \(r+\frac1r=\sqrt2\), we have
\((\sqrt2)^3=r^3+3\sqrt2+\dfrac1{r^3}\)
\(\implies r^3+\dfrac1{r^3}=2\sqrt2-3\sqrt2=\boxed{-\sqrt2}\)
Identify the axis of symmetry, vertex, and range for the quadratic function.
what fraction is equal to 0.04 repeating
Answer:
4/90 = 0.04 repeating :)
25) Find the measure of the side MN.
A) 17.1
B) 18.1
C) 19.1
The measure of the side MN is 19.1.
What are trigonometric functions?In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
The different trigonometric identities are expressed as:
cosine, tangent, cotangent, cosecant, secant, and sineFrom the information given, we have that:
The opposite side of the triangle is MNThe adjacent side is 11ftUsing the tangent identity:
\(\text{tan} \ \theta = \dfrac{\text{opposite}}{\text{adjacent}}\)
Substitute the values
\(\text{tan}(60) =\dfrac{\text{MN}}{11}\)
Cross multiply the values, we have:
\(\text{MN} = \sf 1.73(11)\)
\(\text{MN} = 19. 05 \thickapprox\bold{\underline{19.1 \ ft}}\)
Hence, the measure of the side MN is 19.1.
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PLEASE HELP, please write it out in the system of equations (step by step)
2x + y = - 1 ; x - 2y = - 8
Answer:
\({x,y}={-2,3}\)
Step-by-step explanation:
[1] 2x + y = -1
[2] x - 2y = -8 <------- given linear equations
Graphic Representation of the Equations : ----> given in attatchment
y + 2x = -1 -2y + x = -8 < ----- point where they connect is shown in graph
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = 2y - 8
// Plug this in for variable x in equation [1]
[1] 2•(2y-8) + y = -1
[1] 5y = 15
// Solve equation [1] for the variable y
[1] 5y = 15
[1] y = 3
// By now we know this much :
x = 2y-8
y = 3
// Use the y value to solve for x
x = 2(3)-8 = -2
Solution :
{x,y} = {-2,3}
Answer:
Step-by-step explanation:
[1] 2x + y = -1
[2] x - 2y = -8 <------- given linear equations
Graphic Representation of the Equations : ----> given in attatchment
y + 2x = -1 -2y + x = -8 < ----- point where they connect is shown in graph
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = 2y - 8
// Plug this in for variable x in equation [1]
[1] 2•(2y-8) + y = -1
[1] 5y = 15
// Solve equation [1] for the variable y
[1] 5y = 15
[1] y = 3
// By now we know this much :
x = 2y-8
y = 3
// Use the y value to solve for x
x = 2(3)-8 = -2
Solution :
{x,y} = {-2,3}
Enter the correct answer in the box.
Write an expression to represent the given statement. Use n for the variable.
three times the absolute value of the sum of a number and 6
DO
(0) 101
P
TE
sin cos tan
S
+
II
a
B
E
9
0
vo
> >
Αμρ φ
<
CSC seccot
Answer:
3x + n+6
Step-by-step explanation:
The required expression to represent the situation is; 3n+18
Algebraic expressionsAccording to the question;
The required expression is three times the absolute value of the sum of a number and 6.Hence, it follows that, the absolute value of the sum of a number and 6 is; |n + 6|.
Hence, 3 times the absolute value is;
3 |n + 6|Hence, upon evaluation; the expression is; 3n + 18
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use the unit circle to find sin 240 and cos 240, without using a calculator. then use your calculator to check your answers. notice that your calculator expects you to put parentheses around the 240, which is because sin and cos are functions. except in cases where the parentheses are required for clarity, they are often left out.
Using the unit circle to find sin 240 and cos 240, without using a calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.
To find sin 240 and cos 240 without a calculator, we can use the unit circle, which is a circle with radius 1 centered at the origin in a two-dimensional coordinate system. The unit circle provides a convenient way to define the sine and cosine of an angle in terms of their coordinates on the circle.
The sine of an angle is the y-coordinate of the point on the unit circle corresponding to that angle, and the cosine of an angle is the x-coordinate of the point on the unit circle corresponding to that angle.
For an angle of 240 degrees, we can find the corresponding point on the unit circle by constructing a line from the origin to the point on the circle.
we can see that the y-coordinate of the point is negative, so sin 240 = -sin (240 - 180) = -sin 60 = -1/2.
The x-coordinate of the point is also negative, so cos 240 = -cos (240 - 180) = -cos 60 = -√3/2.
We can use a calculator to check our answers by entering sin(240) and cos(240) with parentheses around the 240, as requested by the calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.
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describe how a graph would look for the solution set for the inequality in problem 5. describe what the solution means and how the price of the balloons bought will affect the amount in the budget.
A)
i) the inequality to show the number of ballons that the dance committee can buy is: 0.80b + 65 ≤ 125
ii) solving the inequality above, we arrive at b ≤ 75
B) The graph is attached accordingly.
C) See the description of the solution below.
Let's start by defining our variables. Let b be the number of balloons that the dance committee could buy.
The cost of b balloons is $0.80b. We want to make sure that the cost of the balloons plus the amount already spent on decorations ($65) is less than or equal to the budget of $125. So we can write the following inequality:
0.80b + 65 ≤ 125
Now we can solve for b:
0.80b + 65 ≤ 125
0.80b ≤ 125 - 65
0.80b ≤ 60
b ≤ 75
Therefore, the dance committee can buy up to 75 balloons to stay within their budget.
To graph the solution set, we can plot b on the horizontal axis and shade the region to the left of b = 75, since b must be less than or equal to 75.
The solution set represents all possible values of b that satisfy the inequality. In this case, the solution set is b ≤ 75, which means that the dance committee can buy up to 75 balloons and still stay within their budget.
As the number of balloons increases, the cost of the balloons also increases, and the amount of money left in the budget decreases.
Therefore, the more balloons the dance committee buys, the less money they will have left for other decorations or expenses.
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Full Question:
Since the above question is incomplete, it appears you are referring to the question below.
The dance committee has a budget of $125 to decorate the gym for a spring dance. They already spent $65. Some members want to buy helium balloons that cost $0.80 each.
A) Write and solve an inequality to show the number of balloons that the dance committee could buy.
B) Graph the solution set for the inequality.
C) Describe what the solution means and how the number of balloons affects the amount in the budget.
The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
7th grade math please help!
Answer:
B
Step-by-step explanation:
Percentages represent the fraction over 100.
Suppose there is a 1.7 drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 45.1 what will be the temperature when the plane reaches an altitude of 4000
Answer: 38.3
Step-by-step explanation:
1.7 × 4 = 6.8
45.1 - 6.8 = 38.3
what is the perpendicular and parallel lines of y= -2 -4x
y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.
The equation y= -2 -4x in the form of slope intercept form y=mx+b is y=-4x-2.
Where m represents the slope and y intercept is -2.
The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.
The negative reciprocal of -4 is 1/4.
Therefore, the slope of the perpendicular line is 1/4.
The perpendicular line is y=1/4x-2.
We know that the parallel lines have same slope.
y=-4x+3
Hence, y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.
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Suppose that the credit remaining on a phone card (in dollars) is a linear function of the total calling time (in minutes). When graphed, the
function gives a line with a slope of -0.13. See the figure below.
There is $28.51 in credit remaining on the card after 27 minutes of calls. How much credit will there be after 36 minutes of calls?
After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.
what is function ?Mathematics deals with numbers and their variants, equations and related structures, shapes and their locations, and locations where they might be found. A function is an association between inputs and outputs where each input results in a single, unique output. A domain and a codomain, or scope, are assigned to each function. Functions are typically denoted by the letter f. (x). The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four main categories of functions that are available.
given
Assume that the total calling time is a linear function of the credit left on a phone card (measured in dollars) (in minutes).
m(call time) + b = credit
The function produces a line with a slope of -0.14 when graphed.
After 43 minutes of calls, the card's balance is $26.02 left.
After 32 minutes of calls, there was 26.02 = -0.14(43) + b b = 26.02+6.02 b = 32.04 C(x) = -0.14x+32.04
credit?
C(32) = -0.14(32) + 32.04\sC(32) = $27.56
After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.
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Find the quotient and the remainder when x- + 5x + 2 is divided by x + 1
Answer: The quotient is when x+ 5x + 2 = 6
The reminder is when x+ 5x + 2 = -4
Step-by-step explanation:
Given data,
The quotient and the remainder when x + 5x + 2 is divided by x + 1
Let, f(x) = x + 5x + 2
g(x) = x+1
we can write,
g(x) = x+1 = 0
g(x) = x = -1
so, f(x) = x + 5x + 2
we can substitute x = -1 value
f(x) = x + 5x + 2
f(-1) = (-1) + 5(-1) + 2
f(-1) = (-1) - 5 + 2
f(-1) = (-1) - 3
f(-1) = -4
Therefore,
The quotient is when x+ 5x + 2 = 6
The reminder is when x+ 5x + 2 = -4
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please help
17-2(16/2)+3^2
Answer:
Step-by-step explanation:
i hope this helps
Answer:
0.5
Step-by-step explanation:
BODMAS
17-2*8+3/2
17-2*8+1.5
17-16+1.5
17-17.5
=0.5
What is the constant of proportionality for the following table? Express your answer as a decimal.
Answer:
0.25
Step-by-step explanation:
8 x 0.25 is 2, 12 x 0.25 is 3, etc
How do you multiply 6 by 67 by 123 by 6789
Answer:
1,00,900,987 would be the answer
In KLM, KM is extended through point M to point N,
(3x +19)°, m/LMN = (7x + 5)°, and
m/KLM = (2x+8)°. What is the value of x?
The value of the variable "x" is 11.
We have a triangle. The vertices of the triangle are K, L, and M. The side KM is extended from point M to point N. The measures of the angles MKL, LMN, and KLM are (3x + 19)°, (7x + 5)°, and (2x + 8)°, respectively. We need to find out the value of the variable "x".
The angles LMK and LMN form a linear pair. It means they are supplementary angles. The sum of the angles is 180°.
∠LMK + ∠LMN = 180°
∠LMK + (7x + 5)° = 180°
∠LMK = 180° - (7x + 5)°
In the triangle KLM, we will use the angle sum property of a triangle. The sum of all the angles in a triangle is equal to 180°.
∠K + ∠L + ∠M = 180°
(3x +19)° + (2x + 8)° + [180° - (7x + 5)°] = 180°
3x +19 + 2x + 8 + 180 - 7x - 5 = 180
-2x + 22 = 0
2x = 22
x = 11
Hence, the value of the variable "x" is 11.
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The length of a rectangle is 5 cm more than its width. If the perimeter is 58cm, calculate:
(a) Write an equation to show the perimeter of the rectangle ?
(b) calculate:
I.width
II.length
III. the area of the rectangle
The equation to show the perimeter of the rectangle is P = 2(2w + 5)
Writing an equation to show the perimeter of the rectangleFrom the question, we have the following parameters that can be used in our computation:
Length = 5 more than the width
Also, we have
Perimeter = 58
This means that
P = 2(w + 5 + w)
P = 2(2w + 5)
Calculating the dimensions and the areaIn (a), we have
P = 2(2w + 5)
This gives
2(2w + 5) = 58
So, we have
2w + 5 = 29
2w = 24
w = 12
Next, we have
l = 12 + 5
l = 17
Lastly, we have
Area = 17 * 12
Area = 204
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Each person at a
baseball game receives 3 raffle tickets
and a $2 certificate for the team store.
A group of people receives 39 raffle
tickets. How much money in certificates
does the group receive?
In a case whereby baseball game receives 3 raffle tickets and a $2 certificate for the team store. A group of people receives 39 raffle tickets the amount of money in certificates the group receive is $26.
How can this be calculated?If one baseball game receives 3 raffle tickets and a $2 certificate for the team store, then we can say that each raffle ticket is worth 2/3 dollars ($2 divided by 3 tickets).
So, for 39 raffle tickets, the group would receive (39 x 2/3) = $26
Therefore, the amount of money in certificates the group receive is $26
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HELP PLEASE WILL GIVE BRAINLIEST!
Answer:
So easy
Step-by-step explanation
on the y axis put -5 and then for x axis put -6
Answer:
(2,0) and (4,0)
Step-by-step explanation:
The roots are the values of x for which y = 0, or where the graph crosses the x-axis. (2,0) and (4,0)
At a given point 67.7ft at ground level of a covered court, the angle of elevation of a roof worker from the bottom is 38.6⁰ and the angle of elevation of the roof from the top is 42.4 degrees find the height of the roof worker and the distance of the ø if someone is observing below.
The height is 114.83 ft and the distance of the ø if someone is observing below is 84.8.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that at a given point of 67.7ft at the ground level of a covered court, the angle of elevation of a roof worker from the bottom is 38.6⁰ and the angle of elevation of the roof from the top is 42.4 degrees.
The base will be calculated as:-
tan(38.6) = P / B
tan(38.6) = 67.7 / B
B = 67.7 / tan(38.6)
B = 54.8 ft
The height will be calculated as:-
Cos(42.4) = B / H
H = 84.8 / Cos(42.4)
H = 114.83 ft
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art teacher has 450 sheets of construction paper on first day of school. students used 18 sheets during each school day. how many school days did the construction paper last?
Answer:
25
Step-by-step explanation:
025
18 |450
- 36
090
- 90
00
help meeee pleasee!!!
thank youu
Answer:
(-7, 3)
Step-by-step explanation:
Since the endpoints of the interval are not included, use parentheses.
17.) In a group of 74 people, if the ratio of children who like Coke only and Pepsi only is 3:2 and the number of people, who like both drinks is 17 and who do not like both is 7, find number of people who like Coke and represent the fact in a Venn diagram.
The number of people who like Coke is 30
Since the Venn diagram visually represents the differences and the similarities between two concepts.
Given that group of 74 people, if the ratio of children who like Coke only and Pepsi only is 3:2
Also , the number of people, who like both drinks is 17 and who do not like both is 7
Total number of children who like Coke only and Pepsi only are 5x
5x = 74 - 17 - 7
5x = 50
x = 10
Thus, the number of people who like Coke is 3x means
3 (10) = 30
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