The graph shows the inequality x² ≤ 16
How find the inequality for the graph?An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.
Inequalities are often used to describe conditions or constraints in real-world problems.
You will notice that the values represented in the graph ranges from -4 to 4. Thus, solving x² ≤ 16 will produce these values. That is:
x² ≤ 16
x ≤ ±√16
x ≤ ±4
x ≤ -4 or x ≤ 4
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HELP PLEASE ANSWER THIS
50 times 5
Answer:
50 times 5 is equal to 250
Step-by-step explanation:
lol, what a great question!!!!
is DBE similar to ABC? if so, which postulate or theorem proves these two triangles are similar?
Yes ∆DBE is similar to ∆ABC by the SAS similarity theorem.
What are similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary. Two triangles are said to be similar if the corresponding angles are equal and the ratio of the corresponding sides are equal.
In this case, both triangles have a common angle i.e angle B and the ratio of their corresponding sides are equal. i.e 10/22 = 15/33 = 0.454. Therefore we can say that ∆DBE is similar to ∆ABC.
They are similar by the SAS similarity theorem i.e side angle side theorem.
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HELP PLEASEEEEE I'll give you a crown
Answer:
8.64%
Step-by-step explanation:
Write it as a decimal
7/81 = 0.0864
0.0864 is the decimal representation for 7/81
For Percentage Conversion :
step 1 To represent 0.0864 in percentage, write 0.0864 as a fraction
Fraction = 0.0864/1
step 2 multiply 100 to both numerator & denominator
(0.0864 x 100)/(1 x 100) = 8.64/100
8.64% is the percentage representation for 7/81
I need helpppp....:(
Answer:
D
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
For a pentagon with n = 5 , then
sum = 180° × 3 = 540° , thus
x = 540° ÷ 5 = 108
For an octagon with n = 8, then
sum = 180° × 6 = 1080° , thus
y = 1080° ÷ 8 = 135
Thus
x + y = 108 + 135 = 243 → D
A piano teacher gives lessons that are each Three-fourths hour long. How many piano lessons can the teacher fit into a 12-hour work day? Assume no breaks are taken in the 12 hour period.
6
9
11
16
Answer:
26.6666666667
Step-by-step explanation:
3/4 of a hour is 45 minutes 12 ÷ by 0.45 would equal 26.6666666667
when jerry burger replicated milgram's experiment in 2009, he found that 70% of participants were still obeying, a from milgram's result. multiple choice question. large increase large reduction slight increase slight reduction
Jerry burger replicated milgram's experiment in 2009, he found that 70% of participants were still obeying, a from milgram's result is slight reduction .slight reduction means small in quantity or extent. 2 of small importance; trifling. slim and delicate. lacking in strength or substance.
How many participants in Milgram's study obeyed all the way to the end?In his book Understanding Milgram's Work Today, Robert Burger pointed out that in the original experiment, 79 percent of subjects who persisted after the learner's initial screams at 150 volts persisted all the way to the end of the scale, at 450 volts.The experiment had only one variation in which 26 out of 40 subjects obeyed, and this variation is where the figure of 65% of people following orders applied. In certain iterations of the study, not a single participant heeded the experimenters' commands, while in other modifications, many fewer participants were willing to do so.To learn more about Milgram's study refer to:
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HELPPP ASAP PLZ COMPLETING THE SQUARE
Answer:
Your answer (x+2)(x+8)
Consider the equation, x2 3x + 4, where x represents a real number.a. Are the expressions x2 and 3x + 4 algebraically equivalent?b. The following table shows how we might "sift” through various values to assign to the variable symbol x in the hunt for values that would make the equation true.
(a)
The expression are equivalent to each ohter if both expressions give same value for all assign values of x. From the table it can be observed that both expression do not give same value for all values of x. Thus expression
\(x^2\)and 3x + 4 are not eqivalent to each other.
(b)
From the table, it can be observed that values of the expression are equal for x = 4. So equation
\(x^2=3x+4\)holds true for x = 4.
SOMEBODY HELP PLEASE IF YOU CAN
Answer:
484π or 1520.530844
Step-by-step explanation:
4xπx11²
The following are the ages (years) of 5 people in a room: 15, 17, 22, 14, 19 A person enters the room. The mean age of the 6 people is now 19. What is the age of the person who entered the room?
Answer:
27
Step-by-step explanation:
Given that:
(15+17+22+14+19+x) divided by 6 = 19
(87 + x) divided by 6 = 19
87 +x = 114
so x = 27.
Therefore the age of person 6 = 27
Triangle ABC is a right triangle with the right angle at angle B. If the sine of angle A is ? and the longer leg is 52 inches, what is the length of the shorter leg of the triangle?
Answer:
The length of the shorter leg of the triangle can be calculated using the Pythagorean Theorem. The formula is a^2 + b^2 = c^2, where a is the length of the shorter leg, b is the length of the longer leg and c is the length of the hypotenuse. In this case, a^2 + 52^2 = c^2. The hypotenuse can be calculated by using the sine formula. c = (52/sinA). Substituting this value into the Pythagorean Theorem equation, a^2 + 52^2 = (52/sinA)^2. Solving for a, a = sqrt(52^2 - (52/sinA)^2).
In an oblique triangle, given angle C=35∘, sides a =19 and c=16, find all possible values for angles A and B. Your work must justify your answer. A=_______ B=_______
In an oblique triangle, the possible values for angles A and B is A ≈ 30.17° and B ≈ 114.83°.
To find all possible values for angles A and B in an oblique triangle, first, we need to use the cosine rule to find the unknown angle opposite to the known side b as follows;
cosB = (a² + c² - b²) / 2ac
We can rearrange the above equation to isolate the unknown value of b as follows;
b² = a² + c² - 2ac cosB
b = √(a² + c² - 2ac cosB)
We can now substitute the known values into the above equation to determine the unknown side b as follows;
b = √(19² + 16² - 2 × 19 × 16 cos35°) ≈ 10.93
Angle A is opposite to side a, and we can find it using the sine rule as follows;
sinA / a = sinC / c
sinA = (a / c) × sinC
sinA = (19 / 16) × sin35°
sinA ≈ 0.51
Therefore,
A ≈ 30.17°(1 decimal place)
We can find angle B by using the angle sum property of triangles as follows;
A + B + C = 180°
B = 180° - A - C
B = 180° - 35° - 30.17° ≈ 114.83°
Therefore, B ≈ 114.83°(2 decimal places)
Thus, A ≈ 30.17° and B ≈ 114.83°.
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On a coordinate plane, right triangles A B C and Z Y X are shown. 1. StartFraction A B Over Z Y EndFraction = StartFraction B C Over Y X EndFraction = 2 2. ∠B and ∠Y are right angles. 3.? 4.? Which two statements are missing in steps 3 and 4?
Answer:
∠B ≅ ∠Y
△ABC ~ △ZYX by the SAS similarity theorem.
Step-by-step explanation:
It says to find the area of the shaded square, but I not sure how to get the answer.
Answer:
68 square cm
Step-by-step explanation:
Interior square WXYZ is making four right triangles of equal bases (8 cm) and heights (2 cm) inside the square ABCD. Therefore,
Area of shaded Square = Area of square ABCD - 4 times area of one right triangle.
\( = {10}^{2} - 4 \times \frac{1}{2} \times 8 \times 2 \\ = 100 - 32 \\ = 68 \: {cm}^{2} \)
a. 3x - 7+9 - 2x = x+2
Simplify equation
Answer:
No solution
Step-by-step explanation:
3x - 7+9 - 2x = x+2
3x-2x-x=2+7-9
0=0
No solution
Consider a biased coin for which a head is twice as likely to occur as a tail. Let W be a random variable giving the number of heads minus the number of tails in three tosses of a coin. Find the probability mass function of W.
The probability mass function of W is P(W=-3) = 1/27, P(W=-1) = 6/27, P(W=1) = 12/27, and P(W=3) = 8/27.
Let us consider the possible outcomes of three tosses of the biased coin. There are a total of 8 possible outcomes: HHH, HHT, HTH, THH, HTT, THT, TTH, and TTT.
Since a head is twice as likely to occur as a tail, the probability of getting a head is 2/3 and the probability of getting a tail is 1/3.
Let W be a random variable giving the number of heads minus the number of tails in three tosses of the coin. Then, W can take on any value between -3 and 3.
To find the probability mass function (PMF) of W, we need to calculate the probability of each possible outcome. When all three coins come up heads (HHH), W = 3 - 0 = 3. The probability of this outcome is:
P(HHH) = (2/3)^3 = 8/27
When two coins come up heads and one comes up tails (HHT, HTH, THH), W = 2 - 1 = 1. The probability of each of these outcomes is:
P(HHT) = (2/3)^2 × (1/3) = 4/27
P(HTH) = (2/3)^2 × (1/3) = 4/27
P(THH) = (2/3)^2 × (1/3) = 4/27
So, P(W=1) = P(HHT) + P(HTH) + P(THH) = 12/27
When one coin comes up heads and two come up tails (HTT, THT, TTH), W = 1 - 2 = -1. The probability of each of these outcomes is:
P(HTT) = (2/3) × (1/3)^2 = 2/27
P(THT) = (2/3) × (1/3)^2 = 2/27
P(TTH) = (2/3) × (1/3)^2 = 2/27
So, P(W=-1) = P(HTT) + P(THT) + P(TTH) = 6/27
When all three coins come up tails (TTT), W = 0 - 3 = -3. The probability of this outcome is:
P(TTT) = (1/3)^3 = 1/27
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Pleaseeeee help urgent!
The values of the trigonometric ratios sec θ and cot θ are:
sec θ = -13/12
cot θ = 12/5
How to use Trigonometric ratios?There are three main trigonometric ratios which are:
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
We are told that sin θ = -5/13
Using Pythagoras theorem, we have that:
Adjacent side = √(13² - 5²)
Adjacent side = √144 = 12
Thus:
cos θ = -12/13
sec θ = 1/cos θ
Thus:
sec θ = 1/(-12/13)
sec θ = -13/12
1/ tan θ = cot θ
tan θ = sin θ/cos θ
tan θ = (-5/13)/(-12/13) = 5/12
cot θ = 1/(5/12) = 12/5
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Which equation best represents circle A?
(x - 2)2+(-1)= 3
(x-2)2+(-1)2 = 12
(x+2)2+(y-1)2 = 3
(x + 2)2 + (y - 1)? = 12
O
The equation of the circle graphed is (a) (x - 2)² + (y - 1)² = 3
Determining the equation of the circle graphedFrom the question, we have the following parameters that can be used in our computation:
The circle
Where, we have
Center = (a, b) = (2, 1)
Radius, r = √3 units
The equation of the circle graphed is represented as
(x - a)² + (y - b)² = r²
So, we have
(x - 2)² + (y - 1)² = √3²
Evaluate
(x - 2)² + (y - 1)² = 3
Hence, the equation is (x - 2)² + (y - 1)² = 3
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Will give brainliest
Answer:
c
Step-by-step explanation:
Answer:
I'm not 100% sure, but i think it's C. :)
Step-by-step explanation:
i think
d) half the number reduced by 4
Answer:0
Step-by-step explanation: You decreased by 4 means subtracting 4 from it.
Hope this helps!
PLS HELP PLSSSSSSSSSSSSSSSSSSSSSS
If the die above is rolled 120 times, predict the number of times it would land on an odd number.
A.
The die would land on an odd number roughly 40 times, but probably not exactly 40 times.
B.
The die would land on an odd number roughly 60 times, but probably not exactly 60 times.
C.
The die would land on an odd number roughly 30 times.
D.
The die would land on an odd number exactly 60 times.
Answer: b
Step-by-step explanation: because its 50/50
a student studying public policy created a model for the population of Detroit which decreased 2.09% over a year in 2010 there was 730000 residents assuming this trend continues each year, write a function for p, the population t years after 2010
Answer:
KF
Step-by-step explanation:
The time (in minutes) that it takes a mechanic to change oil has an exponential distribution with mean 20.
a) Find P(X < 25), P(X > 15), and P(15 < X < 25)
b) Find the 40th percentile
Using the exponential distribution formula:
(a) P(X < 25) =0.3935, P(X > 15) = 0.2231 and P(15 < X < 25) = 0.1704
(b) The 40th percentile is 29.15 minutes
a) Using the exponential distribution formula:
P(X < 25) = 1 - \(e^{(-25/20)}\)= 0.3935
P(X > 15) = \(e^{(-15/20)}\) = 0.2231
P(15 < X < 25) = P(X < 25) - P(X < 15) = (1 - \(e^{(-25/20)}\)}) - (1 - \(e^{(-15/20)}\)) = 0.1704
b) The 40th percentile is the value x such that P(X < x) = 0.40. Using the exponential distribution formula:
0.40 = 1 - \(e^{(-x/20)}\)
Solving for x:
\(e^{(-x/20)}\)= 0.60
-x/20 = ln(0.60)
x = -20 ln(0.60) = 29.15
Therefore, the 40th percentile is 29.15 minutes.
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What is the maximum value of P? OA. P= (Type an integer or a fraction.) OB. There is no maximum value of P. Select the correct choice below and fill in any answer boxes present in your choice. What are the coordinates of the corner point where the maximum value of P occurs? OA. The coordinates are (Type an ordered pair.) B. There is no maximum value of P. Time Remaining: 02:52:59 Next Solve the linear programming problem. Maximize P = 3x + 3y Subject to 2x+y s 20 x + 2y ≤ 16 x, y 20
OA. The maximum value of P is 30.
OB. The coordinates of the corner point where the maximum value of P occurs are (4, 6).
To solve the linear programming problem, we can graph the feasible region determined by the constraints and find the corner point that maximizes the objective function P = 3x + 3y.
The constraints are:
2x + y ≤ 20 (equation 1)
x + 2y ≤ 16 (equation 2)
x, y ≥ 0
First, we graph the lines defined by the equations 2x + y = 20 and x + 2y = 16.
By plotting the points where the lines intersect the x and y axes, we can connect them to form the feasible region. The feasible region is the area below or on the lines and within the first quadrant.
Next, we evaluate the objective function P = 3x + 3y at the corner points of the feasible region to find the maximum value.
The corner points of the feasible region are:
A: (0, 0)
B: (0, 8)
C: (6, 0)
D: (4, 6)
Now, we substitute the coordinates of each corner point into the objective function P = 3x + 3y to find the corresponding values of P:
P(A) = 3(0) + 3(0) = 0
P(B) = 3(0) + 3(8) = 24
P(C) = 3(6) + 3(0) = 18
P(D) = 3(4) + 3(6) = 30
The maximum value of P is 30, which occurs at the corner point D: (4, 6).
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OMG, I'm so confused. Help me pls!
1.) -9u( -4)(-w)
2.) -b(-12)(11)
3.) -h(-jk)
4.) (-1)(-a)(-bc)
Answer:
-36uw
132b
hjk
-abc
Step-by-step explanation:
When you multiply a negative by another negative, the negative is cancelled out. When you multiply a negative by a positive, the negative is kept.
1.) -9u(-4)(-w)
36u(-w)
-36uw
2.) -b(-12)(11)
12b(11)
132b
3.) -h(-jk)
hjk
4.) -1(-a)(-bc)
1a(-bc)
-1abc
-abc
Hope this helps! :)
Please help me I will give you extra points.
It's math
Answer:
A
Step-by-step explanation:
It can only be a bc its the only one with -4 as b
What’s the product and the units
Answer:
114 mi
Step-by-step explanation:
\(6h*\frac{19 mi}{h}\)=\(\frac{6h*19mi}{h} \frac{6*19mi}{1} =114mi\)
Dominos.com allows you to build your own pizza online, but it only reveals the price at the end of the process. Watch
the side-by-side video of someone building a pizza: the actual process (no price), and an edited process (price). Why
do you think Domino’s waits to reveal the price, and which version of the ordering process do you prefer? Explain.
Answer:
Hi there!
Your answer is:
Domino's waits to reveal the price until the end because, psychologically, you're predisposed to put & LEAVE more toppings on your pizza. If you see how each topping affects the price of the pizza each time you add one, you may limit the amount you choose. If you wait until the end to see it, by that point you think "Well I need these toppings on there to make it delicious." From a business standpoint, it's more financially beneficial to use the "hide the price until the end" system. However, from a consumer standpoint, most prefer seeing a live breakdown of how each topping affects the price so we can limit what we pay to a reasonable amount.
I hope this helps!
A study was conducted in order to estimate the proportion of u. S. Adults that use a computer at home more than 20 hours a week. Suppose 36 out of a random sample of 81 adults use a computer at home more than 20 hours a week. Is the sample size large enough to compute a confidence interval for the proportion of u. S. Adults who spend more than 20 hours a week on a home computer?.
We need to take into account the prerequisites for utilising normal approximation methods in order to establish whether the sample size of 81 persons is sufficient to compute a confidence interval for the percentage of U.S. adults who spend more than 20 hours a week on a home computer.
Typically, both the sample size and the anticipated number of successes and failures need to be sizable for the normal approximation to be reliable. In cases where n is the sample size and p is the estimated proportion, a general rule of thumb is that both np and n(1-p) should be larger than or equal to 5.Out of 81 people, we have 36 successes in this situation (those who use a computer for more than 20 hours). The projected percentage is p.
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There is a bag with only milk and dark chocolates.
The probability of randomly choosing a dark chocolate is 5/12.
There are 25 dark chocolates in the bag and each is equally likely to be chosen.
Work out how many milk chocolates there must be.
just need answer
There must be 35 milk chocolates in the bag.Let's assume there are x milk chocolates in the bag.
Therefore, we have the equation:25 dark chocolates / (25 dark chocolates + x milk chocolates) = 5/12
To solve this equation, we can cross-multiply:12 * 25 dark chocolates = 5 * (25 dark chocolates + x milk chocolates),300 dark chocolates = 125 dark chocolates + 5x milk chocolates,175 dark chocolates = 5x milk chocolates
Dividing both sides by 5:
35 dark chocolates = x milk chocolates
Since the probability of randomly choosing a dark chocolate is 5/12, we can say that out of the total number of chocolates in the bag (25 dark chocolates + x milk chocolates), 5/12 of them are dark chocolates.
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