Finding the value of the given equation's unknown variables is a step in the equation-solving process. The value of the variable satisfies the requirement that the two expressions are equal and is called the solution of that equation.
What Does Solving Equations Mean?Calculating the value of the unknown variable while keeping the equation balanced on both sides is the process of solving equations. When a condition on variable guarantees that two expressions in the variable have the same value, it qualifies as an equation.
The variable's value for which the equation holds true is referred to as the equation's solution If the LHS and RHS are switched, an equation doesn't change. The answer is discovered after isolating the variable for which the value must be determined. Depending on the kind of equation we are working with, we can solve it. There are several types of equations, including linear, quadratic, rational, and radical ones.
When a linear equation has one variable, there is only one solution; when there are two variables, there are two solutions. A quadratic equation's solution yields two roots. To solve an equation, a variety of techniques and steps are used.
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Circle 10cm find the diameter of the circle
Answer:
Diameter = 3.1831 cm (aprox)
Step-by-step explanation:
Diameter = circle / π
π ≈ 3.1414
Then:
Diameter = 10 / 3.1418
Diameter = 3.1831 cm
a person can play 1/6 of a song in 1/3 of a minute.
how many minutes does it take the person to play the whole song at once at this rate?
Answer:
2 minutes for a whole song.
Step-by-step explanation:
Given that,
→ (1/6) song = (1/3) minutes
Parts of whole song is,
→ (1/6) × 6 = 1
Then the required minutes taken to play whole song will be,
→ x/6 = 1/3
→ x = (1/3) × 6
→ x = 6/3
→ [ x = 2 min ]
Hence, 2 minutes for a whole song.
What sequence equation would represent this graph?
Equation of the given data y = 1750x -20,000 and graph of the equation is attached.
As given in the question,
Data of the table :
Year : 1 2 3 4 5
Investment : $20,000 $21,750 $23,500 $25,250 $27,000
(x₁, y₁) = ( 1, 20,000)
(x₂, y₂) = ( 2, 21,750)
Equation of the given graph is :
( y - 20,000)/ (x -1) = (21,750 - 20,000)/ (2 -1)
⇒ ( y - 20,000)/ (x -1) = 1750
⇒ y = 1,750x -18,250
Graph of the equation y = 1,750x -18,250 s represented by the graph.
Graph is attached.
Therefore, equation of the given data y = 1750x -20,000 and graph of the equation is attached.
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Helpppppppssssss ejejnee
Answer:
Step-by-step explanation:
Arithmetic Sequence
Answer:
(a) Arithmetic Sequence
Step-by-step explanation:
You want to know if the graph of a straight line represent an arithmetic, geometric, or neither sequence.
Arithmetic sequenceAn arithmetic sequence is characterized by a common difference between terms that are 1 unit apart. A graph of an arithmetic sequence is points that lie on a straight line.
The graph shows an Arithmetic Sequence.
__
Additional comment
A graph of a geometric sequence would show points that lie on an exponential curve.
A sphere has a diameter of 24 mm.
What is the volume of the sphere?
48pi mm³
192pi mm³
2304pi mm³
I don't know.
Answer:
Step-by-step explanation:
volume of a sphere = ⁴/3 π r³. r = D/2. V = 4/3 × π × (D/2)³. V = 4/3 × π × D³/8. V = ⅓ × π × D³/2. V = ⅓× π × (24mm)³/2.
most social science researchers are willing to declare that a relationship is statistically significant if the chances of observing the relationship in the sample when actually nothing is going on in the population (i.e., random chance) are less than what percent?
Most researcher fix level of significance at 5% i.e. they conclude a significant relationship when nothing is going on in 5% of cases. Hence,
Option A is correct which is 1.5%
Given that,
The majority of social scientists are willing to claim that a link is statistically significant if the likelihood of observing the relationship in the sample when nothing is happening in the population is greater than a certain threshold.
To find:
Less than what percentage of the population truly experiences nothing at all (i.e., random chance)
The majority of researchers set the level of significance at 5%, which means they draw conclusions about a meaningful association even when nothing is happening in 5% of cases.
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Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 90(1.02)
The exponential equation represents an exponential growth because the rate of decay is 1.02 which is greater than 1.
y = 90(1.02)^x
The general form equation is:
y(x)= a(1+r)^x such that r is the decay percent.
on comparing,
1 + r = 1.02
r = 1.02 - 1
r = 0.02
converting into percent
r = 0.02 * 100
r = 2%.
Hence the exponential growth is 2%.
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Need the answer for this
Answer:
x = 41.5
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
2x + 9 + x + 13 + x - 8 = 180 , that is
4x + 14 = 180 ( subtract 14 from both sides )
4x = 166 ( divide both sides by 4 )
x = 41.5
⇒The sum of the interior angles of a triangle is 180°
⇒Meaning (2x+9)°+(x-8)°+(x+13)°=180°
⇒Simplify the above equation to find the value of x.
⇒[tex]2x+x+x+9-8+13=180\\4x+14=180\\4x=180-14\\4x=166\\\frac{4x}{4} =\frac{166}{4} \\x=41.5[/tex]
∴ x=41.5
Solve for s in terms of p, q, and r.
q= –spr
Answer:
[tex]\sf s =\dfrac{-q}{pr}[/tex]
Step-by-step explanation:
Solve for s:q = -spr
-spr = q
Isolate 's' by dividing both sides by (-pr).
[tex]\sf \dfrac{-spr}{-pr}=\dfrac{q}{-pr}\\\\\\ s = \dfrac{-q}{pr}[/tex]
How do I solve these?
Applying the knowledge of congruent triangles, the measures are solved as:
6. X = 14; AC = 11; T = 14; WZ = 16; WY = 60; AB = 60; m∠A = 64°; m∠Y = 64°; m∠W = 50°
7. X = 7; YZ = 28; T = 9; WZ = 10; WY = 11; AB = 28; m∠A = 31°; m∠C = m∠W = 99°
How to Solve for the Measures of Congruent Triangles?To solve for the missing measures of triangles that are congruent to each other, recall that triangles that are congruent will have corresponding sides that are equal and also corresponding angles that are equal.
6. Triangles ABC and YWZ are congruent, therefore:
m∠A = m∠Y; m∠B = m∠W; m∠C = m∠Z
AB = WY; AC = YZ; BC = WZ
Therefore:
5X - 4 = 66
Solve for X
5X = 66 + 4
5X = 70
X = 14
AC = YZ = 11
AB = WY
5T - 10 = 4T + 4
5T - 4T = 10 + 4
T = 14
BC = WZ = 16
WZ = 16
WY = 4T + 4 = 4(14) + 4
WY = 60
AB = WY = 60
AB = 60
m∠A = m∠Y
m∠A = 180 - 50 - 66
m∠A = 64°
m∠Y = 64°
m∠B = m∠W = 50°
m∠W = 50°
7. Triangles ABC and ZYW are congruent, therefore:
m∠A = m∠Z; m∠B = m∠Y; m∠C = m∠W
AB = YZ; AC = WZ; BC = WY
Therefore:
5X - 4 = 3X + 10
Solve for x
5X - 3X = 4 + 10
2X = 14
X = 7
AB = YZ
2T + 10 = 4T - 8
2T - 4T = -10 - 8
-2T = -18
T = 9
YZ = 4T - 8 = 4(9) - 8
YZ = 28
AC = WZ = 10
WZ = 10
WY = 11
AB = YZ = 28
AB = 28
m∠A = m∠Z = 3X + 10 = 3(7) + 10
m∠A = 31°
m∠C = m∠W = 180 - 31 - 50 = 99°
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Expandthis please (x+2y) 5
Answer:
5x+10y
Step-by-step explanation:
to expand we distribute each term with 5
5(x)+5(2y)
5x+10y
Hopes this helps please mark brainliest
Answer: 5x + 10y
Step-by-step explanation:
Re-order terms so constants are on the left
(x+2y)x5
5(x+2y)
Distribute
5(x+2y)
5x+10y
750 people go on a coach trip
each coach can hold 50 people
How many coaches are needed
Answer:
15 coaches
Step-by-step explanation:
750 people go on a coach trip each coach can hold 50 people How many coaches are needed?
750/50 = 15 coaches
Answer:
Answer:750÷50 = 15
The answer is 15.
Because 750 people are going in a coach trip and each coaches can hold 50 people.
factorise x squared - 6x
The quadratic expression can be factorized to:
x*(x - 6)
How to factorize the expression?Here we have the expression:
x^2 - 6x
To factorize this, first, we need to find the roots, which are the solutions of:
x^2 - 6x = 0
Notice that one of the solutions is trivial, and it is x = 0.
If now we assume that x ≠ 0 and divide both sides by x, we get:
x - 6 = 0
x = 6
That is the other solution.
Now, for a square polynomial with the roots a and b, the factorized form is:
(x - a)*(x - b)
In this case, the roots are 0 and 6, then:
x^2 - 6x = (x - 0)*(x - 6) = x*(x - 6)
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In the recent year, 51.9 billion aluminum cans were recycled. About how many cans per week is this?
The number of cans that are recycled is approximately 1 billion cans in 1 week.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that 51.9 billion aluminum cans were recycled.
Therefore, the rate of recycled the can is;
51.9 billion / 1 year
We know that 1 year has 52 weeks
Then
51.9 billion / 1 year x 1 year / 52 weeks
= 51.9 (1) billion / 1 (52 ) weeks
= 51.9 billion/ 52 weeks
= 1 billion/ 1 week
Hence, the number of cans that are recycled is approximately 1 billion cans in 1 week.
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You win 50 tickets, 12 tickets, and 16 tickets at
an arcade. You are able to buy 3 of the same item with 3 tickets left over.
How many tickets does 1 item cost?
Answer:
25
Step-by-step explanation:
First, we add 50, 12, and 16, which gives us 78. Then, we remove 3 from the answer, giving us 75. Then, divide 75 by 3.
Answer = 25.
(ps: sorry for any spelling mistakes, i dont really type answers alot)
If you are able to buy 3 of the same item with 3 tickets left over. As a result, 1 item cost 26 tickets.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, You win 50 tickets, 12 tickets, and 16 tickets at an arcade. You are able to buy 3 of the same item with 3 tickets left over.
Number of tickets won,
= 50 + 12 + 16
= 78 tickets
Number of items bought = 3 items
Let the cost of 1 item be 'x' tickets.
The cost of 3 items = 3x
By the amount, we can buy 78 tickets as,
3x = 78
x = 26
Thus, if you are able to buy 3 of the same item with 3 tickets left over. As a result, 1 item cost 26 tickets.
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Use the remainder theorem to find P(-1) for P(x) = −x³ – 2x² −9. Specifically, give the quotient and the remainder for the associated division and the value of P(-1).
Using remainder theorem, Quotient = x-9 and Remainder = x² - x.
According to the remainder theorem, the remainder equals f when a polynomial, p(x), is divided by (x - a) (a). Euclid's Division Lemma can be used to demonstrate this. Using this, p(x) = q(x) (x - a) + r, where q(x) is the quotient and 'r' is the remainder.Remainder Theorem is a method for dividing polynomials according to Euclidean geometry. This theorem states that when a polynomial P(x) is divided by a factor (x - a), which isn't really an element of the polynomial, a smaller polynomial is produced along with a remainder.P(x) = −x³ – 2x² −9
P(-1) = −(-1)³ – (-1)x² −9
P(-1) = −(-1) – 2(1) −9
= 1 -2 -9
= -10
Remainder of P(-1) = −(-1)³ – (-1)x² −9 is -10.
Remainder of P(x+1)
= −x³ – 2x² −9 / x+1
Quotient = x-9 and Remainder = x² - x
Hence, using remainder theorem, Quotient = x-9 and Remainder = x² - x.
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XR is tangent to circle O at point X. IfmXY = 110°, find m/YXR.
X
O
R
F
Y
D
The measure of ∠ YXR is 55 degrees.
Given that:-
m∠ XOY = 110 degrees
XR is a tangent to circle O at X.
We have to find the measure of ∠ YXR.
Draw the radii XO and OY to form the isosceles triangle XOY.
We know that the radius of the circle is perpendicular to the tangent.
Hence, ∠OXR = 90 degrees.
Consider the triangle XOR, we know that XO and OY are the radii of the triangle and hence equal.
Let, ∠ OXY = OYX = x
Hence,
110 + x + x = 180 degrees
2x = 70 degrees
x = 35 degrees
Now, we know that,
∠ OXR = ∠ OXY + ∠ YXR
90 = 35 + ∠ YXR
∠ YXR = 90 - 35 = 55 degrees.
∠ YXR = 55 degrees.
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A container with 3½ liters of weed killer can spray of a lawn. How many liters would it
take to spray 1 entire lawn?
The amount a container would take to spray 1 entire lawn is 7 litres.
Given that a container with 3½ liters of weed killer can spray 1/2 of a lawn.
We want to find the amount of liters to take a spray 1 entire lawn.
3½ liters of weed killer can spray 1/2,
liters take to spray 1 lawn is 3½/1/2=7 liters
Hence, the amount of liters it would take to spray 1 entire lawn when a container with 3½ liters of weed killer can spray of a lawn is 7 liters.
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you can read 45 pages of your new book in 2 hours. how many page can you read 3 hours
Answer:
67.5 (rounded down to 67, usually)
45/2 is 22.5 so that is for one hour
22.5 x 3 = 67.5
Answer:
add me on brainliest please
Step-by-step explanation:
65 is the answer
What’s the exact value of sin,cos,tan.
Answer:
a) 1
b) 0.5
c)0
The total cost of a one-year membership at a gym is £141. This is made
up of a single £57 sign-up fee and equal-sized monthly payments for the
whole year.
How much is each monthly payment?
Give your answer in pounds.
Answer: 7£
Step-by-step explanation:
1. Firstly, we need to subtract the single sign up fee from the total cost. This would be 141-57 =84 pounds
2. We know that you pay a regular amount every month, so therefore we can divide 84 by 12 as there are 12 months in a year.
3. 84/12 = 7. Thus, the answer is 7 pounds a month.
Answer:
£7
Step-by-step explanation:
Given information:
£141 = Total cost of one-year gym membership.£57 = sign-up fee (included in the annual fee).To find the cost of the monthly payments, find the difference between the total cost and the sign-up fee, then divide the result by 12 (as there are 12 months in one year).
The difference between the total cost and the sign-up fee is:
[tex]\implies 141-57=84[/tex]
Therefore, the cost of each monthly payment is:
[tex]\implies \textsf{Monthly fee}=\dfrac{84}{12}=7[/tex]
The graph of the absolute value parent function, f(x) = lxl, is stretched horizontally by a factor of 6 to creator the graph of g(x). What function is g(x)?
The function g(X) will be of the form g(x) = |x/6| ,when stretched by a factor of 6.
The function is f(x)=|x| .
We know that for transformation of a function of the form horizontal stretch by a factor of 'a' is given by the g(x)= f(x/a)
So in this given function the horizontal stretch is by a factor of 6.
Therefore g(x) = f(x/6)
or, g(x) = |x/6|
In the graph attached the green represents the function f(x) while the red represents the function g(x).
A function transformation either "moves," "resizes," or "reflects" the graph of anything similar to the parent function. The following are the three main types of function transformations:
Dilation is the only one of these changes that modifies the size of the original shape; the other two just change its location.
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A
If m ZABD = 75° and m/ABC = 40°,
then mZCBD = [?]°
We see BC is in the middle of the lines AB and BD, therefore mABC + mCBD = mABD.
We're given mABD = 75, mABC = 40.
Therefore, mCBD = mABD - mABC = 75 - 40 = 35.
Answer:
∠CBD = 35°
Step-by-step explanation:
We are told in the question that m∠ABD = 75° and m∠ABC = 40°. We are then asked what the value of m∠CBD is.
As we can see from the diagram, ∠ABD is made up of the angles ABC and CBD. Therefore:
∠ABD = ∠ABC + ∠CBD
⇒ 75° = 40° + ∠CBD
⇒ 75° - 40° = 40° + ∠CBD - 40° [
⇒ 35° = ∠CBD
∴ ∠CBD = 35°
On a number line, suppose the coordinate of A is 0, and AR is 22. What are the possible coordinates of the midpoint of ?
Answer:
Step-by-step explanation:
Yahweh’s
What is the m (See image)
From the given figure, m∠AEB = (3x + 54)° and m∠DEC = (7x -30)°, then the measure of angle AEB is equal to 117°.
As given in the question,
For the given figure,
Two lines AC and BD intersect each other at point E.
Measure of angles in the form of x is given as :
m∠AEB = (3x + 54)°
m∠DEC = (7x -30)°
∠AEB and ∠DEC are vertically opposite angles.
⇒m∠AEB = m∠DEC
⇒ (3x + 54)°= (7x -30)°
⇒ 7x - 3x = ( 54 + 30 )°
⇒ 4x = 84°
⇒ x = 21°
Hence,
m∠AEB = (3x + 54)°
⇒m∠AEB = (3(21) + 54)°
⇒m∠AEB = 117°
Therefore, from the given figure m∠AEB = (3x + 54)° and
m∠DEC = (7x -30)°, then the measure of angle AEB is equal to 117°.
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Graph the following features:
Y-intercept = -1
Slope = -2
The line that has a slope of -2 and a y-intercept of -1 is shown in the graph below.
What is the Equation of a Line in Slope-intercept Form?An equation of a line in slope-intercept form that is expressed as y = mx + b, can be graphed if we know the value of the slope (m), and the value of the y-intercept (b).
We are given the following:
Slope of a line (m) = -2Y-intercept of the line (b) = -1To write the equation of the line in slope-intercept form, substitute m = -2 and b = -1 into y = mx + b:
y = -2x - 1
This means that the rise/run of the line, which is the slope, to be graphed would be equal to -2 while the line will intercept the y-axis at point -1, because the y-intercept given is -1.
The line with the stated features are shown in the graph below.
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Raina wants to wallpaper the back wall of her bedroom. The wall is in the shape of a rectangle. Its length is 12 feet and its width is 11 feet. Suppose wallpaper costs $9 for each square foot. How much will wallpaper cost for the wall?
Two libraries donated books to a local school. One library donated 786 books and the other
library donated 1,245 books. The school divided the books evenly among 11 classrooms.
Estimate how many books each classroom received.
Choose 1 answer:
B
200 books
Donat
50 books
The number of books each classroom received = 185
In this question, we have been given two libraries donated books to a local school. One library donated 786 books and the other library donated 1,245 books. The school divided the books evenly among 11 classrooms.
We need to find the number of books each classroom received.
Total number of books received:
786 + 1245 = 2031
The school divided the books evenly among 11 classrooms.
Let x be the number of books each classroom received.
By unitary method,
x = 2031 /11
x ≈ 185
Therefore, the number of books each classroom received = 185
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please help! i dont knnow what to do
Answer: g= 61/5 or 12.2
Step-by-step explanation:
Please help! triangles PTS&QTR are congruent identify their common side or angle
Answer:
∠T
Step-by-step explanation:
∠T is the common angle found in both triangles.
In ΔPTS, ∠PTS represents ∠T.
In ΔQTR, ∠T is represented by ∠QTR.
Answer:
The angle T is common side.
Step-by-step explanation:
Given triangles,
→ ∆PTS & ∆QTR
Now we have to,
→ fInd common angle of both triangles.
The common angle is,
→ <T (angle T)
→ As it is present in both triangles.
Hence, the common part is angle T.