Answer:
10
Step-by-step explanation:
(2w + 4) - (2w - 6)
2w + 4 - 2w + 6
2w - 2w + 4 + 6
10
I hope this helps!
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
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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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.
round off to round off 36 to the nearest day
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
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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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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What’s the exact value of sin,cos,tan.
Answer:
a) 1
b) 0.5
c)0
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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You visit the Grand Canyon and drop a penny off the edge of the cliff. The distance the penny will fall is 32ft for the first second, 62ft the next second, 92ft the third second, and so on. How far will the penny have traveled after 7 seconds?
Answer:
212 feet fallen after 7 seconds
Step-by-step explanation:
You visit the Grand Canyon and drop a penny off the edge of the cliff. The distance the penny will fall is 32ft for the first second, 62ft the next second, 92ft the third second, and so on. How far will the penny have traveled after 7 seconds?
if 32 ft for 1 second
if 62 ft for 2 second
if 92 ft for 3 second
We see that the penny from second 1, falls an addition 30 ft/s.
equation: 32 + 30 (t - 1)
when t = 7 seconds:
32 + 30 (7 - 1)
32 + 30 (6)
32 + 180
= 212 feet fallen after 7 seconds
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
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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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]
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?
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°
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.
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.
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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help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The equation of the parabola with the vertex (3,5) in the form of f(x)=a(x-h)^2+k is f(x)=7(x-3)^2+5.
In the given question we have to find the equation of parabola in the form of f(x)=a(x-h)^2+k
The given function is f(x)=7x^2.
The given vertex = (3,5)
The equation of the parabola with the vertex of (h,k) is
y=a(x-h)^2+k
On comparing we get; a=7, h=3, k=5
Now putting the value
f(x)=7(x-3)^2+5
Hence, the equation of the parabola with the vertex (3,5) in the form of f(x)=a(x-h)^2+k is f(x)=7(x-3)^2+5.
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please help! i dont knnow what to do
Answer: g= 61/5 or 12.2
Step-by-step explanation:
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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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
Find the error in the calculations below, if there is one:
Line (1): 4x³ + 2x² − 6x +3
Line (2): = 2x²(2x + 1) − 3(2x + 1)
Line (3): = 2x²(2x + 1) + ( − 3)(2x + 1)
Line (4): = (2x² − 3)(2x + 1)
Line 1 4x³ + 2x² − 6x +3 is having error.
Line 1.
4x³ + 2x² − 6x +3
Line 2.
= 2x²(2x + 1) − 3(2x + 1)
= 4x³ + 2x² - 6x - 3
Line 3.
= 2x²(2x + 1) + ( − 3)(2x + 1)
= 4x³ + 2x² - 6x - 3
Line 4.
= (2x² − 3)(2x + 1)
= 4x³ + 2x² - 6x - 3
expect line 1 remaining all three are equal.
Therefore Line 1 4x³ + 2x² − 6x +3 is having error.
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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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It cost Hassan $5.31 to send 59 text messages. How much does each text cost to send?
Each text will cost Hassan $0.09
What is rate ?A rate is a special ratio in which the two terms are in different units. It can also be defined as the amount of money that is charged for goods or services. For example, if a 12 malt can of costs 69¢, the rate is 69¢ for 12 malt. Then 1 malt will cost ¢69/12.
Similarly $5.31 is the cost of 59 text messages
Therefore a text message will cost $5.31/12=$0.09
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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.
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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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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a standard deck of 52 cards is acquired. for those who do not know, a deck of cards contains 4 suits (hearts, diamonds, clubs, and spades). hearts and diamonds are red, clubs and spades are black. there are 13 denominations of cards (2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace). if you select two cards (without replacement), what is the probability that you select a black card and a red card?
The probability that you select a black card and a red card is 26/51 as per the condition mentioned "choosing two cards (without replacement )".
What is probability?The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.
Here,
Since we have not mentioned the order,
so it can black-red or red-black,
=26/52*26/51+26/52*26/51
=2*26/52*26/51
=26/51
Assuming you choose two cards (without replacement), there is a 26/51 chance that you will choose a black card and a red card.
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