Answer:
-6 is the y coordinate
Step-by-step explanation:
Sarah evaluated the expression [(23 x 4) + 2]+2. What was her answer?
Oa. 12
Oc. 16
Ob. 14
O d. 18
Answer:
Step-by-step explanation:
((23 x 4) + 2)+2
(92 + 2) +2
94 + 2 = 96
pls help with question 5 please
Answer: d
Step-by-step explanation:
Let x be the smaller angle and y be the larger angle. Since the measure of the larger angle y is 8 times the measure of the smaller angle x, it follows:
\(y=8x\)
Since x and y form a linear pair, so the sum of their measures is equal to 180 degrees as follows:
\(x+y=180^{\circ}\\x+8x=180^\circ\\9x=180^\circ\\x=20^{\circ}\)
Then, it follows:
\(y=8x=8\cdot 20^{\circ}=160^{\circ}\)
So, the measure of the larger angle is \(160^{\circ}\).
I got this question wrong and I’m trying to correct it but i don’t know how it’s wrong or what the right answer is.
Question: The triangles shown ARE similar. Explain how the triangles are similar and identify the similarity theorem: AA, SSS, or SAS
Triangle ABC~ Triangle AFG
Answer:
SAS
Step-by-step explanation:
The triangles are similar by SAS. Two side lengths are given, and we know that vertical angles are congruent.
It is not SSS because we do not know the side lengths of FG and BC.
It is not AA because we do not know two angle measurements.
Examine this system of equations. Which number can be multiplied by each equation so that when the two equations are added together, the y term is eliminated?Three-fourths x + two-thirds y = 6StartFraction 5 Over 8 EndFraction x + five-sixths y = 1215 times the first equation and 12 times the second equation15 times the first equation and –12 times the second equation30 times the first equation and –6 times the second equation30 times the first equation and 6 times the second equation
Answer: 15 times the first equation and -12 times the second equation
Step-by-step explanation:
Find the particular antiderivative that satisfies the following conditions: dR 80 = R(1) = 20. dt 1²
The antiderivative of dR/dt = 80/t² where R(1) = 20 is,
R = - 80/t + 100
The given expression is,
dR/dt = 80/t² where R(1) = 20
We have to find its antiderivative.
To find its antiderivative integrate both sides with respect to t we get,
⇒ ∫(dR/dt) dt = ∫(80/t²) dt
⇒ ∫(dR/dt) dt = ∫(80\(t^{-2}\)) dt
Since we know that,
∫\(t^n\) dt = \(t^{n+1}/(n+1) + C\)
Therefore,
⇒ R = - 80/t + C
Where C is constant of integration.
To find the value of C apply the given condition:
R(1) = 20
Therefore, at t = 1 , R = 20
⇒ 20 = - 80 + C
⇒ C = 100
Hence,
The required antiderivative is ⇒ R = - 80/t + 100
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The complete question is attached below:
how many atheletes in total were acccused of using performance-enhancing drugs? of these, how many were using and how many were not? what percentage of those accused of using were falsely accused?
There have been numerous cases of athletes being accused of using performance-enhancing drugs, and the numbers may vary depending on the sport, country, and time period in question.
Additionally, determining how many athletes were using or not using performance-enhancing drugs would require specific information on individual cases.
Regarding the percentage of athletes falsely accused of using performance-enhancing drugs, it is difficult to determine an accurate figure without examining each case in detail. False accusations may occur due to various reasons, such as flawed testing procedures or contaminated supplements, and the percentage of false accusations may vary depending on the situation.
If you have a specific case or sport in mind, I can try to provide you with more information on that topic.
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Eduardo spent 35% of his time at the theme park on a roller coaster if he was there for eight hours how much time did you spend on roller coasters
Answer:
2.8
Step-by-step explanation:
Students in Mrs. Marquez's class are watching a film on the uses of geometry
In architecture. The film projector casts the image on a flat screen as shown in
the figure. The dotted line is the bisector of
each congruence theorem to prove that
need to know.
The given information on the diagram of the projector and the image can
be used to prove the congruency of the triangles.
∠ABD, ∠BDA, and side \(\overline {AD}\) on ΔABD are congruent to ∠CBD, ∠BDC, and
segment \(\overline {CD}\) on ΔCBD, therefore, ΔABD ≅ ΔCBD, by AAS Theorem
Reasons:
The figure of the projector that casts an image on the screen is attached.
The bisector of the line \(\overline {AC}\) = \(\overline {BD}\)
From the drawing, we have;
∠ABD ≅ ∠CBD by equal number arc mark.
The two column proof is therefore, presented as follows;
Statement \({}\) Reason
\(\overline {BD}\) is perpendicular bisector of \({}\)\(\overline {AC}\) Given
\(\overline {AD}\) = \(\overline {CD}\) \({}\) Definition of bisected line \(\overline {AC}\)
∠BDC = 90° \({}\) \(\overline {BD}\) is perpendicular \(\overline {AC}\)
∠BDA = 90° \({}\) \(\overline {BD}\) is perpendicular \(\overline {AC}\)
∠ABD ≅ ∠CBD \({}\) Given on the diagram
ΔABD ≅ ΔCBD \({}\) by Angle-Angle-Side AAS Congruency rule
The Angle-Angle-Side, AAS, Congruency postulate states that two
triangles are congruent where two adjacent angles and a non included side
on one triangle are congruent to the corresponding two adjacent angles
and a non included side on the other triangle.
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a drink costs 2 dollars. a taco costs 5 dollars. given the number of each, compute total cost and assign to totalcost. ex: 2 drinks and 3 tacos yields totalcost of 19.
Answer:
To compute the total cost based on the number of drinks and tacos, we can use the given prices of $2 for a drink and $5 for a taco. Let's assume the number of drinks is represented by "d" and the number of tacos is represented by "t". The **total cost** can be calculated as:
totalcost = (2 * d) + (5 * t)
For example, if we have 2 drinks and 3 tacos, the calculation would be:
totalcost = (2 * 2) + (5 * 3) = 4 + 15 = 19
So, with 2 drinks and 3 tacos, the total cost would be $19.
You can substitute the values of "d" and "t" with the desired quantities to calculate the total cost for different combinations of drinks and tacos.
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simplify the expression
What is the inverse of f(x)=2x^2+4x? Please show work.
as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.
\(\stackrel{f(x)}{y}~~ = ~~2x^2+4x\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~2y^2+4y} \\\\\\ x=2(y^2+2y)\implies \cfrac{x}{2}=y^2+2y\impliedby \begin{array}{llll} \textit{now let's complete the square}\\ \textit{to make it a perfect square trinomial}\\ \textit{by using our good friend, Mr "0"} \end{array} \\\\\\ \cfrac{x}{2}=y^2+2y(+1^2-1^2)\implies \cfrac{x}{2}=y^2+2y+1-1\implies \cfrac{x}{2}=(y^2+2y+1)-1\)
\(\cfrac{x}{2}+1=(y^2+2y+1^2)\implies \cfrac{x}{2}+1=(y+1)^2\implies \sqrt{\cfrac{x}{2}+1}=y+1 \\\\\\ \sqrt{\cfrac{x+2}{2}}=y+1\implies \sqrt{\cfrac{x+2}{2}}-1=y~~ = ~~f^{-1}(x)\)
Which expressions are equivalent. Picture Provided. NO LINKS! NEED ANSWER ASAP
Answer:
B) 3^-5 (1 / 243) and D) 2^5 x 6^-5 (1 / 243)
Step-by-step explanation:
3 to the negative 5th power as a fraction is
1 / 243.
2 to the power of 5 multiplied by 6 to the power of negative 5 also equals 1 / 243.
Both expressions are equivalent to 2^5 / 6^5 because they equal the same thing (1 / 243).
TREES From point A,
the angle of elevation to the top of a pine tree is 42°.
From point B,
on the same side of the tree, the angle of elevation to the top of the tree is 50°.
If point A
and point B
are located 12
feet apart and are both at ground level, what is the approximate height of the tree to the nearest foot?
feet
Answer:
44 ft
Step-by-step explanation:
You want to know the height of a tree whose top is at angles of elevation of 42° and 50° from points 12 feet apart.
TangentThe tangent of an angle is related to the side lengths of a right triangle by ...
Tan = Opposite/Adjacent
This tells us the length of the side adjacent to the angle of elevation is ...
Adjacent = Opposite/Tan
ApplicationHere, the height of the tree is the side of the triangle opposite the angle of elevation, and the difference of adjacent sides is 12 ft:
12 = h/tan(42°) -h/tan(50°)
h = 12/(1/tan(42°) -1/tan(50°)) ≈ 12/(1.11061 -0.83910) ≈ 44.197
The approximate height of the tree is 44 feet.
how do I simplify the rational expression,2x-8÷2x^2+2x-40?
Linda shopped for dark chocolate chips for the candies.
Publix and Kroger prices are listed in the chart below:
Which store has the better unit price?
Publix
Kroger
Answer:
publix is the better choice
Last month, customers at a gift shop bought 40 birthday cards,
19 congratulations cards, 20 holiday cards, and 21 thank you
cards. Suppose 125 customers buy greeting cards next month.
How many would you expect to buy a birthday card?
Answer:
32 People
Step-by-step explanation:
I put 40 (Number of birthday cards bought previously) over 125 (Number of expected costumers) and multiplied it by 100 (Total number of card bought previously) to get my answer. Hopefully that helps :)
If AABC ~ AAVW, find the value of x and y?
Answer:
what's the question
Step-by-step explanation:
is there any numbers involved
Add a term to the expression so that it becomes a perfect square trinomial.
y2 – 19y +
Answer:
y2-19y+361/4/(y-19/2)squared
find the general solution of the differential equation dx/dt 2x = 6 2t 3te^t 4e^-2t
The general solution of the differential equation \(\frac{d}{dt}(2x) = 6 \cdot 2t + 3t \cdot e^t + 4 \cdot e^{-2t}\) is given by \($x - \frac{x^2}{2} = 3t^2 + 3te^{t} - 2e^{-2t}$\).
The given differential equation can be written as,
\(\frac{d}{dt} \left(2x\right) = 6 \cdot 2t + 3t \cdot e^t + 4e^{-2t}\)
The solution of the above differential equation can be found by applying the product rule,
\(\frac{d^2x}{dt^2} + 2 \frac{dx}{dt} = 6 2t + 3te^t + 4e^{-2t}\)
Rearranging the terms,
\($\frac{d^2x}{dt^2}-2\frac{dx}{dt} = 6 + 2t + 3te^{t} + 4e^{-2t}$$\)
Now, integrating both sides with respect to t,
\(\int 2\frac{dx}{dt} -2x \frac{d}{dt}dt = \int 6t^2e^t4e^{-2t}dt\)
\frac{d}{dt}\left(2x-\frac{2x^2}{2}\right)=\frac{6t^2}{2}+3te^{t}-4e^{-2t}+c
Substituting c = 0,
\($2x - x^2 = 6t^2 + 3te^{t} - 4e^{-2t}$\)
The general solution of the differential equation is given by,
\($x - \frac{x^2}{2} = 3t^2 + 3te^{t} - 2e^{-2t}$\).
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PLEASE HELP, WILL VOTE BRAINLIEST
Write an explicit function to represent the following sequence.
3,9, 27, 81,...
Answer:
The equation would be if y is the numbers in the sequence (like 3, 9, 27) and x is the is the number in the order (like 3 is 1, 9 is 2, 81 is 4) the the equation would be y = 3^x.
Step-by-step explanation:
solve the inequality and explain how
Answer:
B. (see attached)
Step-by-step explanation:
You want the solution and graph of the inequality |x+3| > 2.
SolutionThe inequality resolves to two inequalities with different domain definitions:
|x +3| > 2
When the argument is negative, (x+3) < 0, this is ...
-(x +3) > 2
-x -3 > 2 . . . . . . eliminate parentheses
x +3 < -2 . . . . . . multiply by -1
x < -5 . . . . . . . . . subtract 3; consistent with the domain definition
When the argument is positive, (x+3) > 0, this is ...
x +3 > 2
x > -1 . . . . . . . . subtract 3
-1 < x . . . . . . . . same thing using the < symbol
These differing solution sets do not overlap, but elements of either set are solutions to the inequality. The appropriate conjunction is "OR":
solution: x < -5 or -1 < x
The graph is attached.
__
Additional comment
We like to use the < or ≤ symbols when expressing the solution to an inequality. That way, the relation of the variable to the boundary value is the same as its relation on a number line. Solution values are left of -5 or right of -1:
x < -5 or -1 < x
It helps provide a check that the graph is properly drawn.
The inequality can be rewritten as ...
|x -(-3)| > 2
which can be interpreted as saying the positive distance from x to -3 is more than 2. This tells you the graph will have two disjoint branches, and the appropriate conjunction is OR.
If the problem were different, and the inequality were ...
|x -(-3)| < 2
it would be telling you the solution values have a distance less than 2 from -3. They will be in one continuous band from -5 to -1, so the appropriate conjunction is AND. The solution in this case is usually written as a compound inequality with no conjunction: -5 < x < -1. (Note the use of < symbols puts the variable value in the middle, between the boundary values, as in graph D.)
Cards numbered 1 to 10 are placed on a table. Find probability of selecting (a) a composite number (b) a square number (c) a prime number (d) a triangular number (e) an even number.
PLEASE HELP ME I WILL MARK YOU THE BRAINLIEST
Mishka is on a long road trip, and she averages 70 mph for 2 hours while she's driving on the highway. While she's driving on side roads for 1 hour, she only averages 35 mph. What is the total distance that she covers on her road trip?.
Answer:
highway: 70 × 2 = 140 miles
side roads: 35 × 1 = 35 miles
total distance: 140 miles + 35 miles = 175 miles
im sorry if the answer is wrong :)
The scale of a map is 1cm : 70km. What is the actual distance between two towns that are 3cm apart on the map
Answer:
210 km
Step-by-step explanation:
1cm : 70km
3 x 70 = 210
3cm : 210km
Hopefully this helps you :)
pls mark brainlest ;)
please help i’ll give brainliest ( zoom in if you can’t see )
Step-by-step explanation:
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Parallelogram PQRS has diagonals PR and SQ that intersersect at T find the values of x and y PT=y TR=3x+1 QT=3y TS=4x+13
Answer:
Hence x = 2 and y = 7
Step-by-step explanation:
If a parallelogram PQRS has diagonals PR and SQ that intersects at T, then;
T is the midpoint of PR and T is the midpoint of SQ
If T is the midpoint of PR, then PT = TR
Given PT=y and TR=3x+1
y = 3x+ 1 ............ 1
Also, If T is the midpoint of SQ, then ST = TQ
Given QT=3y and TS=4x+13
3y = 4x+ 13 ............ 2
Substitute equation 1 into 2;
3y = 4x+ 13
3(3x+1) = 4x+ 13
open the parenthesis
9x+3 = 4x+13
collect like terms
9x-4x = 13-3
5x = 10
x = 10/5
x = 2
Substitute x = 2 into equation 1
From 1; y = 3x+1
y = 3(2)+1
y = 6+1
y = 7
Hence x = 2 and y = 7
Ken has just retired. His Roth IRA has a present value of $524,856.00 and has an interest rate of 3.4%, compounded annually. In addition, he receives a yearly pension of $32,615.12. Given that Ken plans to draw from his Roth IRA for the next fifteen years, find his total annual income.
Ken total annual income is $ 55,401.98.
What has compounded annually?
The interest charged on a loan or deposit is known as compound interest. It is the idea that we use the most frequently on a daily basis. Compound interest is calculated for an amount based on both the principal and cumulative interest. The main distinction between compound and simple interest is this.
The completely randomized design, in which participants are assigned to treatment groups at random, is the most basic type of experimental design. The main benefit of using this method is that it minimizes the influence of chance and eliminates bias. This approach makes use of probability theory, which gives statistical analysis a strong foundation.
Given that Roth IRA has a present value of $524,856.00. The rate of interest is 3.4% per annum.
A = P(1+r)^t
A = amount
P = principal
r = rate of interest
t = time
The amount after 15 years is
A = 524,856.00(1+3.4%)¹⁵
A = 866658.9925
The total interest is 866658.9925 - 524,856.00 = $341802.99
The average interest per annum is (341802.99 /15) =22786.866
The annual income is 22786.866 + 32,615.12 = 55,401.986
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PLZ HELP QUICK PLZ
Find the arc length of the semicircle.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.
Answer:
hope this helps you
Answer: it’s 11n
Step-by-step explanation: so we all know this is the answer people :^
Michael deposits $8000 into an account that pays simple interest at a rate of 6%per year. How much interest will he be paid in the first 6 years?
Joan wants to make a dinner plan for next week. how many different arrangements are there for the 7 days?
Answer:
5040
Step-by-step explanation:
an illustration of permutations
The given parameter is:
number of days
dinners for 7 days
Substitute known values