As a result, x²-18x+81 is a perfect square trinomial and can be represented as (x-9)².
WHAT ARE SOME OTHER PERFECT SQUARE TERMINAL EXAMPLES?Perfect square trinomials are illustrated by the following:
x²+6x+9
=(x+3)²
x²-10x+25
=(x-5)²
4x²+12x+9
=(2x+3)²
a²+2ab+b²=(a+b)²
The quadratic expression is a perfect square trinomial if it can be expressed in this way.
As an illustration,
let's determine whether x²-18x+81 is a perfect square trinomial:
The square of x is the first term, x².
The square of 9 is the final term (81).
Its result 2(x)(-9)=-18x is
twice as long as the middle term.
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Identify the type of figure
Answer:
Line
Step-by-step explanation:
It has 2 arrows pointing opposite directions with 2 given points
Rectangle ABCD is shown on the coordinate grid, Rectangle ABCD is
rotated 90° clockwise about the origin to form Rectangle A'B'C'D'. Which
quadrant contains Rectangle A'B'C'D?
Quadrant
Quadrant II
Quadrant III
Quadrant IV
Can someone help me with this?
Answer:
C
Step-by-step explanation:
It is not E becuase SQRT(97) is less than SQRT(100), SQRT(100) is 10,
SQRT(81) is 9 SO SQRT(97) is between 9 and 10, C.
Hope it helps :)
the square root below is between the integers of 9 and 10
Step-by-step explanation:
9×9 is equal to 81
10*10=100
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Answer:
x = (125,0) y = (0,275)
Step-by-step explanation:
I think this is right, good luck!
Answer:x = (125,0) y = (0,275)
Step-by-step explanation:
Can someone help me with this please
The angle measure that corresponds to angle S is angle H.
Given information:
Figure 1 and Figure 3 are congruent figures.
That means, they have the same type of shape but have different sizes.
Therefore, as per the diagram,
PT ≅ GF
TR ≅ FD
RS ≅ DH
SQ ≅ HE
QP ≅ EG.
PTRSQ ≅ GFDHE.
Now, for angle measures,
Angle P is congruent to the angle G.
Angle T is congruent to the angle F.
Angle R is congruent to the angle D.
Angle S is congruent to the angle H.
Angle Q is congruent to the angle E.
As per the congruency of the figures,
∠S ≅ ∠H.
Therefore, ∠S ≅ ∠H.
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Which operation must be done on both sides of the given equation in order to solve them 1 8x =24?
Jazmin earns $29,600 annually and receives health insurance benefits worth $5,400. What is the total annual value of her job??
Answer:
35,000
Step-by-step explanation:
4+6=10 29+5 =34 34+1 =35 add zeros after 35,000 number of zeros equal thousands place bc were adding thousands to thousands
About how many male math teachers will there be in 2016?
A. 32
B.52
Answer:
From the answers you provided the best answer is B.52
Step-by-step explanation:
It starts past 32 so there's no way it can ever be that value as the graph is continuously increasing.
Answer:
is it 32?
Step-by-step explanation:
sorry if im wrong
hope this helps
find the two values of k for which y ( x ) = e k x is a solution of the differential equation y ' ' − 14 y ' 40 y = 0 . smaller value = larger value =
The given differential equation is: y'' − 14y' + 40y = 0. To find the two values of k for which y(x) = ekx is a solution of the differential equation, we first differentiate y(x) twice. We get y'(x) = ekxk and y''(x) = ekxk2. Now we substitute these values in the differential equation and get;ekxk2 − 14ekxk + 40ekxk = 0ekxk [k2 − 14k + 40] = 0k2 − 14k + 40 = 0Solving this quadratic equation gives us;k = 7 ± √9.
The two values of k are; Smaller value = 7 − √9Larger value = 7 + √9Now we need to simplify this further. We know that √9 = 3Therefore,Smaller value = 7 − 3 = 4Larger value = 7 + 3 = 10Therefore, the two values of k for which y(x) = ekx is a solution of the differential equation y'' − 14y' + 40y = 0 are 4 and 10. The smaller value is 4 and the larger value is 10.
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Help!!!!!!! i don’t get it !!!!!!!!!!
Answer:88*8y=6x
Step-by-step explanation:
Calculate the area of the regular pentagon.
The area of the regular pentagon is 252.7m²
How to determine the valueThe formula that is used for calculating the area of a regular pentagon is expressed with the equation;
A = 5/2 x s x a
where the parameters are;
's' is the side of the pentagon 'a' is the apothem length.Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.
apothem,a = s/2 tan (180/n)
Substitute the values
Apothem, a = 7.6/2 tan 16
a = 7.6/0.57 = 13.3m
Substitute the values, we get;
Area = 5/2 × 7.6 × 13.3
Multiply the values, we have;
Area = 505. 4/2
Divide the values, we get;
Area = 252.7 m²
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Find the values of x and y.
Find is the value of x
Answer:
x=60
Step-by-step explanation:
50+90+100=240
360-240=120
x=60
HELP! Simultaneous equation word problem.
-In the karting championship, Amaal won four races and came second twice, winning her prize money of £1920. Brian won one race and came second three times, winning him £1080. What are the value of the prizes?
Prize for winning=£?
Prize for second place=£?
The prize for winning a race is £480, and the prize for coming second is £240. Amaal won four races and came second twice, so she won £1920 in prize money. Brian won one race and came second three times, so he won £1080 in prize money value.
The prize money for the karting championship was divided according to race results. For each race, the winner received a prize of £480, and the second place finisher received a prize of £240. Amaal won four races and came second twice, so she won a total of £1920 in prize money. Brian won one race and came second three times, so he won a total of £1080 in prize money. The total prize money was distributed according to the race results, with the winner of each race receiving £480, and the second place finisher receiving £240. This meant that Amaal won four times the amount that Brian won, as she won four races and he only won one.
Amaal's prize money = 4 x £480 + 2 x £240 = £1920
Brian's prize money = 1 x £480 + 3 x £240 = £1080
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Can someone please solve for me
Let x = 0.263263263…
Then 1000x = 263.263263263…
Subtracting x gives
1000x - x = 263.263263263… - 0.263263263…
999x = 263
x = 263/999
(-4c2+7cd+8d)+(-3d+8c2+4cd)=
Answer:
4c² + 11cd + 5d
Step-by-step explanation:
To add monomials, you have to look at the variables that are accompanied by their coefficients. In the given problem, (–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd), you can combine both cd ut nt cd and c² and cd and d and d and c² because they have different variables.
(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd)
(-4c² + 8c²) + (7cd + 4cd) + (8d - 3d)
4c² + 11cd + 5d
Answer:
4,11,5
Step-by-step explanation:
PLEASE HELP ME THIS IS URGENT EDMENTUM MATH STUFF, PLEASE ANSWER IF YOU KNOW.
Type the correct answer in the box.
The area of the figure is ____ square units.
Answer:
Step-by-step explanation:
Our friend purchased a medium pizza for $10. 31 with a 30% off coupon. What is the price of a medium pizza without a coupon?
Therefore, the original purchased price of the medium pizza without a coupon is $10.31.
A coupon is a ticket or document that may be used in marketing to obtain a financial discount or refund when making a purchase of a good. Customers receive a discount on their initial purchase thanks to the First Order Coupon. The first order coupon sales rule may be configured by admin in the admin area.
It aids in improving conversion rates. Frequently, yearly percentages are used to describe coupon payments. For instance, a bond with a $1,000 face value and an annual payment of $30 is said to have a 3% coupon. If the friend purchased a medium pizza for $10.31 with a 30% off coupon, then the price of the pizza after the discount is:
= 10.31 - 0.30(10.31)
= 10.31 - 3.09
= $7.22
So the price of the medium pizza without a coupon is $7.22 / (1 - 0.30) = $10.31.
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The study discussed in the previous example was widely publicized. Here are three headlines in the news about the study. Which headline is the most appropriate summary of this study
The headline C is the most acceptable since Lack of Health Insurance Increases Death Risk Lack of Health Insurance May Contribute to 45,000 U.S. Deaths Each Year (WebMD), It effectively conveys both the societal norm and the probability-based scientific method of reporting findings.
As per the details provided in the question are as bellow,
The report helped us realize that two factors—a lack of insurance and a greater rate of mortality among the population—are associated in this situation.
It went on to state the likelihood that there might be a correlation between these two.
The headline will alert the researcher to a study error, as well as allay public fears and encourage people to read the paper so they can learn more about the research.
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Note: The correct question would be as bellow,
A recent National Health and Nutrition Examination Survey (NHANES) study compared death rates for people with health insurance and people without health insurance. This study included anyone who completed the survey between 1986 and 1994. The study tracked these people through 2000. The study attempted to control for factors such as education, income, smoking, drinking, and obesity. The American Journal of Public Health published an article about this NHANES study. The following headlines appeared in the news based on this article. Which headline is an appropriate summary of this study? a. Lack of insurance to blame for almost 45,000 deaths (ABC News)
b. 45,000 American deaths associated with lack of insurance (CNN)
c. No Health Insurance, Higher Death Risk: 45,000 U.S. Deaths Per Year May Be Linked to Lack of Health Insurance (WebMD)
If a 5 pound batch of chocolate chip cookies are made using 1.2 pounds of chocolate chips, what percent by mass of chocolate is contained in the cookie?
Answer:
24%
Step-by-step explanation:
if you put it in this format: 1.2/5 and cross multiply by x/100 you get this answer.
240: 180 in its simplified form
Answer:
4:3 would be the ratio in its simplified form.
Answer:
60:30
Step-by-step explanation:
Find GCF
Divide both numbers by that number, 60
There is your answer, 60:30
60:30A triangle has an area of 36 cm². The base and height are scaled by a factor of 5.
Answer:
the answer is 24
Step-by-step explanation:
add than subtract to get the answer
Olives cost $7 per pound, and tomatoes cost $2 per pound. Jack bought four times as much tomatoes as olives, and his total bill $11.25. How much of each product did he buy.
The number of olives and number of tomatoes that Jack bought are respectively 0.75 pounds and 3 pounds.
How to create algebra equations?
Let the number of olives be x. Now, Jack bought 4 times as much tomatoes as olives. Thus;
Number of tomatoes = 4x
Cost of Olives = $7 per pond
Cost of Tomatoes = $2 per pound
Thus;
7x + 2(4x) = 11.25
15x = 11.25
x = 11.25/15
x = 0.75 pounds
Amount of tomatoes = 4 * 0.75 = 3 pounds
Thus, we conclude that the number of olives and number of tomatoes that Jack bought are respectively 0.75 pounds and 3 pounds.
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It is known that X has a uniform distribution with μ=0.5 minutes and σ=0.29 minutes. Suppose a random sample of 64 people is selected. The shape of the sampling distribution of X
ˉ is: Uniform Approximately Normal Normal not enough information to determine
In this scenario, the shape of the sampling distribution of X-bar is approximately normal.
The sampling distribution of the sample mean, X-bar, can be determined by the Central Limit Theorem. In this case, since the sample size is large (n = 64) and the underlying distribution (X) is approximately normal, the sampling distribution of X-bar will also be approximately normal. The Central Limit Theorem states that regardless of the shape of the population distribution, as the sample size increases, the sampling distribution of X-bar tends to become more and more normal. Therefore, in this scenario, the shape of the sampling distribution of X-bar is approximately normal.
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Find the exact value of cos 135° sin15°.
Answer:
its cos 50
Step-by-step explanation:
amen
In the Florida Lottery Cash4Life game a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. He will win the jackpot of $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. He will win $1000 a week for life if just all 5 numbers match the winning numbers. Assuming that the numbers are equally likely to be
drawn, determine:
(a) (5) The probability that the player will $1000 a day for life;
(b) (5) The probability that the player will $1000 a week for life;
The probability of winning $1000 a day for life is approximately 5.245 x 10^-11 and the probability of winning $1000 a week for life is approximately 1.07 x 10^-8. The probability of winning the jackpot ($1000 a day for life) is 1/(60^5 * 4), while the probability of winning $1000 a week for life is 1/(60^5).
In the Florida Lottery Cash4Life game, a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. The jackpot prize is $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. If just all five numbers match the winning numbers, the player will win $1000 a week for life.
To determine the probability of winning $1000 a day for life, we can use the formula for the probability of independent events: P(A and B) = P(A) x P(B)
(a) To win the jackpot of $1000 a day for life, the player needs to match all five numbers and the Cash Ball. There are 60 options for each of the five numbers and 4 options for the Cash Ball. The total number of possible outcomes is 60^5 (60 choices for each of the five numbers) times 4 (for the Cash Ball). So the probability of winning the jackpot is 1/(60^5 * 4). (b) To win $1000 a week for life, the player needs to match only the five numbers, without considering the Cash Ball. The total number of possible outcomes for this scenario is 60^5. Therefore, the probability of winning $1000 a week for life is 1/(60^5).
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Can u answer this. This ain’t 20 characters long, why.
Answer:
Step-by-step explanation:
slope is 3/4.
I'm pretty sure, cuz it's rise/run
A password consists of 3 digits (0 - 9) followed by two letters (a-z or A-Z; note: 26 letters in the alphabet). i) How many different passwords are possible if repetition of digits and letters is allowed and passwords are not case sensitive (so 123AB is the same as 123aB)? ii) How many different passwords are possible if repetition of digits and letters is not allowed and the passwords are case-sensitive? (s0 123AB is different from 123aB)? b) A 4-student committee is to be randomly selected from a pool of 5 Biology Majors, 10 Math Majors and 5 Music Majors. 1) What is the probability that all 4 randomly selected students were Math Majors? (State your answer as a reduced fraction OR a decimal rounded to 3 places) ii) Suppose now that the 4 student committee needs to have exactly two math majors. How many different pairs of math majors could be chosen.
a. i. There are 27,040,000 different passwords are possible if repetition of digits and letters is allowed and passwords are not case sensitive (so 123AB is the same as 123aB)
ii. There will be 99,532,800 different passwords are possible if repetition of digits and letters is not allowed and the passwords are case-sensitive
b. i. The probability that all 4 randomly selected students were math majors is 0.520
ii. There are 4,725 different pairs of math majors that could be chosen for the committee.
a. i) There are 10 choices for each of the first 3 digits, and 26 choices for each of the last 2 letters. Since the password is not case sensitive, we can choose either uppercase or lowercase letters, so there are 26 + 26 = 52 choices in total for each letter. Therefore, the total number of different passwords is:
10 x 10 x 10 x 52 x 52 = 27,040,000
ii) There are 10 choices for the first digit, 9 choices for the second digit (since we can't repeat the first digit), 8 choices for the third digit (since we can't repeat the first two digits), and 52 choices for the first letter. For the second letter, there are 51 choices left (since we can't repeat the first letter), but we need to distinguish between uppercase and lowercase letters, so there are 52 x 51 = 2,652 choices for the two letters in total. Therefore, the total number of different passwords is:
10 x 9 x 8 x 52 x 2,652 = 99,532,800
b) i) The total number of ways to select a 4-student committee from 20 students is:
20 choose 4 = 4,845
The number of ways to select a committee consisting of 4 math majors is:
10 choose 4 = 2,520
Therefore, the probability that all 4 randomly selected students were math majors is:
2,520 / 4,845 = 0.520
ii) The number of ways to select a 4-student committee with exactly two math majors is:
(10 choose 2) x (10 choose 2) x (15 choose 0) = 4,725
(We choose 2 math majors from 10, and 2 non-math majors from 15, since there are 5 biology majors and 5 music majors to choose from.)
Therefore, there are 4,725 different pairs of math majors that could be chosen for the committee.
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find the slope of 9x - 12 y = 8
Answer:x=
3
4y
+
9
8
Step-by-step explanation:
Answer:
9x−12y=8
Add 12y to both sides.
9x=8+12y
The equation is in standard form.
9x=12y+8
Divide both sides by 9.
9
9x
=
9
12y+8
Dividing by 9 undoes the multiplication by 9.
x=
9
12y+8
Divide 8+12y by 9.
x=
3
4y
+
9
8
Which of the following trigonometric values are negative? 1. sin(-292°) II. tan (2pi/3°) III. cos (153°) IV. cot (222°)a. 2, 3, and 4b. 2 and 3c. 3 onlyd. 1 and 3
Therefore, the answer is:
b. 2 and 3