Answer:
Dear Laura Ramirez
Answer to your query is provided below
Option B is correct
Step-by-step explanation:
In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
Also,
By the triangle inequality theorem, the sum of the lengths of any two sides should be greater than the length of the third side.
Here, if you see( 16+24)>38
So, the set of numbers can be measures of a
triangle.
How many papayas could Star Market buy at Farm B for the same amount of money it spent at Farm A? Enter the answer in the box.
help me guys in math please
Answer: D.42⁰
Ok done. Thank to me :>
20 POINTS!!!!! Find the corresponding point on the unit circle for the given radian measure.
0=7pi/6
Answer:
(-\(\frac{\sqrt{3}}{2}\),-\(\frac{1}{2}\))
Step-by-step explanation:
The corresponding point on the unit circle is ( -√3/2 , -1/2).
What is a unit circle?A unit circle is just a circle that has a radius of 1 unit. A unit circle can be used to define right triangle relationships known as sine, cosine and tangent. These relationships describe how angles and sides of a right triangle relate to one another.
For the given situation,
The radian measure is θ = 7pi/6
In unit circle, the radian θ = \(\frac{7\pi }{6}\) lies in the third quadrant and it's equal degree measure is \(210\)°.
The corresponding point for this radian measure is
( \(\frac{-\sqrt{3} }{2} ,\frac{-1}{2}\) )
Hence we can conclude that the corresponding point on the unit circle is ( -√3/2 , -1/2).
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can you solve this question?
By the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.
How to calculate the valueThe Mean Value Theorem (MVT) states that if a function ƒ(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists a number c in (a, b) such that:
ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)
ƒ(x) = 2lnx - 8 is continuous on the closed interval [1, 7], since it is the sum and composition of continuous functions.
ƒ(x) = 2lnx - 8 is differentiable on the open interval (1, 7), since its derivative ƒ'(x) = 2/x is defined and continuous on (1, 7).
Therefore, the Mean Value Theorem can be applied to ƒ(x) on [1, 7]. To find the value of c, we need to solve the equation:
ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)
Substituting the given values, we get:
2/c = [ 2ln7 - 2ln1 ] / (7 - 1)
2/c = ln7
c = 2 / ln7
c ≈ 0.909
Therefore, by the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.
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HELPP!!
Ryan collects rainwater in a barrel for his garden. The barrel is filled with 15 gallons of water. Ryan used 6.8 gallons to water his garden in June and 5 and one-eighth gallons in July. How much water is left in the barrel?
1.) 3.075 gallons
2.) 5.125 gallons
3.) 5.178 gallons
4.) 16.675 gallons
Subtracting the initial amount of water from the amount used, the remaining amount of water is given by:
1.) 3.075 gallons.
How to find the remaining amount of water in the barrel?
To find the remaining amount of water in the barrel, we have to subtract the initial amount by the amount used.
We have that:
The initial amount was of 15 gallons.The amount used was of: 6.8 + 5 + 1/8(relative to the one-eight) = 11.925 gallons.Hence the remaining amount is:
15 - 11.925 = 3.075 gallons.
Which means that option 1 is correct.
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Answer: 3.075 gallons
Step-by-step explanation:
I need the answers for the table below.
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
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Which of the following numbers is irrational?
Answer:
D
Step-by-step explanation: always remember that sign as irrational
Help please picture attached
Answer:
i think the answer is 60
Step-by-step explanation:i did the math
Please help me 10 points
PLEASE HELP ASAP!!! I WILL GIVE YOU BRAINLIST PLEASE Due in like 10 minutes
Which algebraic rule describes the translation of quadrilateral HIJK to quadrilateral H'I'J'K'?
The algebraic rule describes the translation of quadrilateral HIJK to quadrilateral H'I'J'K' is (x, y) => (x+1, y-8)
How to determine the algebraic rule that describes the translation of quadrilateral?Translation is defined as the movement on a straight line
Given: quadrilateral HIJK to that translated H'I'J'K'
To determine the algebraic rule, we need to get the coordinates of HIJK and H'I'J'K' and then subtract them to get the translation:
H => (x, y) = (4, 6) | H' => (x, y) = (5, -2)
I => (x, y) = (6, 4) | I' => (x, y) = (7, -4)
J => (x, y) = (4, 2) | J' => (x, y) = (5, -6)
K => (x, y) = (4, 2) | K' => (x, y) = (3, -6)
Using points H and H' (you can use any point):
The difference in x is 5-4 = +1 => x+1
The difference in y is -2-6 = -8 => y-8
Therefore, the algebraic rule describes the translation is (x, y) => (x+1, y-8). Option C is the answer
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Answer:
(x, y) => (x+1, y-8)
Step-by-step explanation:
2+2=
a. 3
b. 5
c. 4
d. 7
Answer:
C
Step-by-step explanation:
2
+2
-----
4
HELP PLEASE BE QUICK WILL GIVE BRAINLIEST.
Answer:
7
Step-by-step explanation:
the line crosses the 7 on the y axis
i hope this is correct
Chicken costs c dollars per pound. Write an expression for the price of 3/4 pound of chicken.
Answer: \(\frac{3}{4}\)c
Step-by-step explanation:
If one pound of chicken costs c dollars, and we are writing an expression for 3/4 a pound of chicken, our expression will be the price (c) multiplied by how much chicken there is (3/4):
3/4c
- In mathematics, an expression is a combination of numbers, variables (represented by letters), symbols, and operators, arranged in a way that represents some meaningful mathematical relationship or calculation.
- Expressions can be simple, like 3x or 4 + 5, or complex, like (3x + 4y) / (2x - 5y). Expressions are not equations or inequalities, as they do not contain an equal sign, but they can be used to build equations or inequalities.
Solving the Question:The price of 1 pound of chicken is c dollars. To find the price of 3/4 pound of chicken, we can multiply the price of 1 pound by 3/4:
\(\begin{aligned}\sf Price\: of\: \dfrac{3}{4}\: pound\: of\: chicken& =\sf \dfrac{3}{4} \times c \\&=\boxed{\bold{\:\dfrac{3}{4}c\:}}\end{aligned}\)
Therefore, the expression for the price of 3/4 pound of chicken is 3/4c.
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A circle is 360 degrees so 360 = b + 96 + 209
360 = b + 305
b = 55 degrees.
The sum of the squares of two numbers is 26. The difference of the two
numbers is 4. Find the two numbers.
Answer:
i dont know the answer but good luck
Step-by-step explanation:
-1 19/50 as a decimal number, what is it?
Answer:-1.38
19/50=.38 in decimal form +(-1) = -1.38
Answer:
uytrfvvhhhhhhhjkklñññññlluuyjnkuyjuyjju
Raisins, almonds, and sunflower seeds are sold together in packages of 350 g.
The ratio of the masses of raisins, almonds, and sunflower seeds is 5:7:2
Determine the mass of raisins in a package
Answer:
124.9g approximately 125g
Step-by-step explanation:
Sum of total ratio= 5+7+2= 14
Mass of Raisins = 5/14 x 350 = 125g
Mass of almonds = 7/12 x 350 = 175g
Mass of Sunflower = 2/12 x 350 = 50g
Total package = 125 + 175 + 50 = 350g.
You're Welcome
A cognitive psychologist would like to evaluate the claim that the omega-3 fatty acids can help improve memory in normal adult humans. One group of participants is given a large dose of fish extract containing the Omega-3 (500 mg), and a second group is given a placebo containing no Omega-3 (0 mg). The researcher asks each participant to read the front page of a local newspaper thoroughly every morning and to take their prescribed dosage (of either Omega-3 or placebo) immediately afterwards. The researcher gives each participant a memory test at the end of two weeks and records how many news items each participant remembers from the past three weeks of news. Answer the following:
A) What names would you give the independent and dependent variables;
B) Is the dependent variable discrete or continuous?
C) What scale of measurement (nominal, ordinal, interval or ratio; and continuous or discrete) is used to measure the independent variable?
D) What research method is being used (experimental or observational)? Explain why you conclude that the research method is one or the other.
Answer:
(a)
Independent Variable- Dosage of Omega-3 Fatty AcidsDependent Variable - Number of news item remembered(b)Discrete
(c)Ratio Scale and Discrete Variable
(d) Experimental Method
Step-by-step explanation:
The psychologist wants to evaluate the claim that omega-3 fatty acids can help improve memory in normal adult humans.
(a)In the study, the participants in the two groups were given fish extracts containing Omega-3 (500 mg) and no Omega-3 (0 mg).
The memory test involves measuring the number of items each participant remembers from the past three weeks of news.
Therefore:
Independent Variable- Dosage of Omega-3Dependent Variable - Number of news item remembered(b) The dependent variable is discrete since the number of news items remembered can only be whole numbers.
(c)The independent variable is in milligrams of Omega-3 where the placebo is 0 mg. This is a ratio scale since it has an absolute zero.
Since the dosage is given in multiples of 50mg, it is a discrete variable.
(d)Since the psychologist seeks to manipulate the conditions of the study by introducing Omega-3 to some of the participants and placebo to other participants, it is an experimental distribution.
When can we say that the two triangles are congruent?
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
What is congruent?
Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.
Here,
we have to prove when can we say that the two triangles are congruent.
SSS, SAS, ASA, AAS, and HL.
These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.
Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
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2. The table includes results from polygraph experiments. In each case, it was known if the
subject lied or did not lie, so the table indicates when the polygraph test was correct. Find the
test statistic needed to test the claim that whether a subject lies or does not lie is independent of
the polygraph test indication.
Polygraph test indicated
that the subject lied.
Polygraph test indicated
that the subject did not lie.
025.571
Did the Subject Actually Lie?
No (did not lie) Yes (lied)
15
32
42
9
(1 poir
We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.
How to explain the hypothesisThe test statistic needed to test the claim that whether a subject lies or does not lie is independent of the polygraph test indication is the chi-square statistic.
In this case, the grand total is 90. The row totals are 57 and 33, and the column totals are 42 and 48. The expected frequencies are as follows:
The chi-square statistic is calculated as 0.177. The p-value for the chi-square statistic is calculated using a chi-square table. The degrees of freedom for the chi-square table are the number of rows minus 1, multiplied by the number of columns minus 1.
Since the p-value is greater than 0.05, we fail to reject the null hypothesis. We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.
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*WILL BRAINLIEST* Determine the interval(s) on which the given function is decreasing.
(Answer choices in picture)
Answer:
a
Step-by-step explanation:
ema scores 72 marks out of 80 in her inglesh exam convert into 90 percent what is the answer step by step
Answer:
see explanation
Step-by-step explanation:
To convert the score to a percent
Divide 72 by 80 and multiply by 100% , that is
\(\frac{72}{80}\) × 100% = 0.9 × 100% = 90%
determine the volume of a sphere with a radius of 4.75 inches round your answer to the nearest hundredth use 3.14 for pie.
Answer:
Step-by-step explanation:
V≈448.92in³
r Radius = 4.75
V=4/3πr3=4/3·π·4.753≈448.9205in³
36/(x-3)=4 thank uu :>
Answer:
12
Step-by-step explanation:
36 / (x - 3) = 4
multiply both sides by (x - 3):
(x - 3)(36 / (x - 3)) = 4(x - 3)
36 = 4(x - 3)
expand right side:
36 = 4x - 12
add 12 to both sides:
36 + 12 = 4x - 12 + 12
48 = 4x
divide both sides by 4:
48/4 = 4x/4
x = 12
Quentin is one third the age of his aunt. And 20% older than his sister. If Quentin's sister is 15 years old, how old is his aunt?
Answer:
54
Step-by-step explanation:
20% of 15 is 3 so Quentin is 18 years old
If Quentin is one thrid his Aunt's age that means his aunt is three times older.
18 * 3 = 54
So his Aunt is 54 years old
The age of Quentin's aunt is 54 years if the Quentin is one third the age of his aunt if we solve by making the Quentin's Aunt age as variable x.
What is a equation?
An equation is a formula that expresses the equality of variables.
How to determine age of aunt?
let the age of the aunt is x years.
According to the question the age of Quentin is x/3 years.
The age of Quentin's sister is x/3*100/120
=5x/18
We have been given the age of Quentin's sister is 15 years.
So, 5x/18=15
=x=54 years
Hence the age of aunt is 54 years old.
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23 is what percent of 92
A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25. How many of each type of frust was sold?
A store sells 5 oranges and 10 apples.
What is the cost amount?
The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.
Here, we have
Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.
We have to determine how many of each type of fruit were sold.
We, let the oranges be x.
let the apples be y.
x + y = 15...(1)
1x + 2y = 25...(2)
We subtract equation(2) from equation(1), we get
y = 10
Now we put the value of y in equation (1) and we get
x + 10 = 15
x= 5
Hence, a store sells 5 oranges and 10 apples.
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The Problem of the Points. Two players engage in a game. They are equally matched, and the chances of winning a point are the same for each player. The first player to score 10 points wins the $100 stakes. The game is interrupted suddenly when Player A has 7 points and Player B has 5 points. How should the stakes be divided fairly
Answer:
Player A receives $77.34375 of the sakes
Player B receives $22.65625 of the stakes
Step-by-step explanation:
Given that at the time the game was interrupted, we have;
The number of points player A has = 7 points
The number of points player B has = 5 points
The amount the first player to score 10 points wins = $100
The number of points remaining for player A to win the game = 3
The number of points remaining for player B to win the game = 5
Therefore, the number of trials remaining for a winner to emerge = 3 + 5 - 1 = 7 trials
We take the probability that Player A wins a point as success
We find the likelihood of Plater A winning by using binomial theory as follows;
\(P(S) = \sum\limits_{j=3}^7 \dbinom{7}{3} \cdot \dfrac{1}{2^7} = \dfrac{35}{128} + \dfrac{35}{128} + \dfrac{21}{128} + \dfrac{7}{128} + \dfrac{1}{128} = \dfrac{99}{128}\)
Therefore, given that the likelihood of Player A winning = 99/128
The stakes should be divided such that Player A gets 99/128 share of the stakes while Player B gets 1 - 99/128 = 29/128 share of the stakes
Therefore, Player A gets (99/128) × $100 = $77.34375
Player B gets (29/128) × $100 = $22.65625
Could I please get help with this. For ism confused as I have tried multiple times to get the correct answers
item (a):
To find if those figures are congruent, we can just compare the measures of the corresponding sides. Both smaller bases are 1 unit wide, both bigger basis are 2 units wide, therefore, those trapezoids are congruent.
item (b):
To answer this item, let's analyze each transformation individually. Figure A vertices are
\(\lbrace(-5,-4),(-2,-4),(-2,-2),(-3,-2)\rbrace\)and Figure B vertices are
\(\lbrace(5,-2),(2,-2),(2,-4),(3,-4)\rbrace\)On the first transformation, we have a translation 6 units up, then a rotation counterclockwise of 180º. To do a translation 6 units up, we add 6 to the y-coordinate of each vertice.
\((x,y)\rightarrow(x,y+6)\)Doing this transformation on figure A, we have
\(\begin{gathered} \lbrace(-5,-4),(-2,-4),(-2,-2),(-3,-2)\rbrace \\ \rightarrow\lbrace(-5,-4+6),(-2,-4+6),(-2,-2+6),(-3,-2+6)\rbrace \\ =\lbrace(-5,2),(-2,2),(-2,4),(-3,4)\rbrace \end{gathered}\)The rule for a rotation by 180° about the origin is
\((x,y)\rightarrow(-x,-y)\)Doing this transformation on the image after the translation, we have
\(\lbrace(-5,2),(-2,2),(-2,4),(-3,4)\rbrace\rightarrow\lbrace(5,-2),(2,-2),(2,-4),(3,-4)\rbrace\)And those are the coordinates of Figure B, thus, a translation 6 units up and then a rotation counterclockwise of 180º around the origin takes Figure A to Figure B.
The second transformation is a translation 8 units up
\(\begin{gathered} \lbrace(-5,-4),(-2,-4),(-2,-2),(-3,-2)\rbrace \\ \rightarrow\lbrace(-5,-4+8),(-2,-4+8),(-2,-2+8),(-3,-2+8)\rbrace \\ \lbrace(-5,4),(-2,4),(-2,6),(-3,6)\rbrace \end{gathered}\)and then, a reflection over the y-axis. The rule for a reflection over the y-axis is
\((x,y)\rightarrow(-x,y)\)Doing this transformation on the previous figure, we have
\(\lbrace(-5,4),(-2,4),(-2,6),(-3,6)\rbrace\rightarrow\lbrace(-5,-4),(-2,-4),(-2,-6),(-3,-6)\rbrace\)The final figure is NOT figure B. This series of transformations doesn't take figure A to figure B.
The third series of transformation are a reflection on the x-axis, and then a translation 7 units to the right.
The rule for a reflection over the x-axis is
\((x,y)\rightarrow(x,-y)\)Using this transformation on figure A, we have
\(\begin{gathered} \lbrace(-5,-4),(-2,-4),(-2,-2),(-3,-2)\rbrace \\ \rightarrow\lbrace(-5,4),(-2,4),(-2,2),(-3,2)\rbrace \end{gathered}\)And then, a translation 7 units to the right
\(\begin{gathered} \lbrace(-5,4),(-2,4),(-2,2),(-3,2)\rbrace \\ \rightarrow\lbrace(-5+8,4),(-2+8,4),(-2+8,2),(-3+8,2)\rbrace \\ =\lbrace(3,4),(6,4),(6,2),(5,2)\rbrace \end{gathered}\)The final figure is NOT figure B. This series of transformations doesn't take figure A to figure B.
And finally, the last transformation is a 90º clockwise rotation, and then translate the figure 6 units to the right.
The rule for a 90º clockwise rotation is
\((x,y)\rightarrow(-y,x)\)Doing this transformation on figure A, we have
\(\begin{gathered} \lbrace(-5,-4),(-2,-4),(-2,-2),(-3,-2)\rbrace \\ \rightarrow\lbrace(4,-5),(4,-2),(2,-2),(2,-3)\rbrace \end{gathered}\)Then, a 6 units translation to the right
\(\begin{gathered} \lbrace(4,-5),(4,-2),(2,-2),(2,-3)\rbrace \\ \rightarrow\lbrace(4+6,-5),(4+6,-2),(2+6,-2),(2+6,-3)\rbrace \\ =\lbrace(10,-5),(10,-2),(8,-2),(8,-3)\rbrace \end{gathered}\)And those are not the coordinates for Figure B.
The only translation from this list that takes Figure A to Figure B is the first option.
"Translate Figure A up 6 units, and then rotate that result counterclowise 180º about the origin"
what is the probability that either event will occur?
The probability that either event will occur is P ( C ) = 0.89
Given data ,
Let the probability that either event will occur be P ( C )
P ( A ) = 20/36
P ( B ) = 12/36
where P ( A or B ) = P ( C )
P ( C ) = P ( A ) + P ( B )
P ( C ) = 32/36
P ( C ) = 0.88888
Hence , the probability is P ( C ) = 0.89
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