Answer:
50°
Step-by-step explanation:
if AE is angle bisector then angles BAE and EAC are equal
x + 30 = 3x - 10 add like terms
40 = 2x
20 = x
angle EAC is 3x - 10 so 3 × 20 - 10 = 50°
Answer:
70
Step-by-step explanation:
(x+30)-(3x-10)=180
x+30-3x+10=180
-2x+40=180
-40 -40
-2x=140
1/2x=140
x=70
Is (–39, 42) a solution to the equation y = x + 81?
Answer:
Yes
Step-by-step explanation:
Yes because if you insert -39 for x and 42 for y then your equation is:
42 = -39 + 81
If you were to solve this equation it would be true.
Brittney bought 13 peaches for $8.84. How much was each peach?
Answer:
68¢
Step-by-step explanation:
8.84÷13=0.68
in a random sample 20 of 200 students prefer apples for a snack. based on the sample about how many apples should the teachers buy for a snack of 4000 students?
Which of the following can be used for the line that a shape is to be reflected over?
Answer:
i don't know i need help with this one too
Step-by-step explanation:
Please hello i appreciate it
Step-by-step explanation:
sorry dude my last brain cell ran after exam
find the missing angle measures.
Y = 63
Z = ?
X = ?
Can someone tell me the answer to this please
PLEASE HELP WILL GIVE BRAINLY FAST!!:)
Directions: Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Simplify the expressions, and match the expressions that are equal in value.
53 : 5-1
53 x 5-1
5-4
54
ga
5-3 = 5-1
Answer:
I attached a picture for the answer.
Step-by-step explanation:
Hope this helps!! Please make me Brainliest!
Answer:
Please Check the picture the answer is in there!
Three-fourths of a number decreased by 10 is greater than or equal 5.
Hey there! I'm happy to help!
Let's call this number n. We have 3/4 of n, so we can write this as 3/4n.
We decrease this by 10. This means we subtract 10.
And this is greater than or equal to 5, giving us this inequality.
3/4n-10≥5.
Have a wonderful day! :D
The number of milligrams D (ht) of a certain drug that is in a patient's bloodstream h hours after the drug is injected is given by the following function.
D(h) = 25e -0. 4
When the number of milligrams reaches 6, the drug is to be injected again. How much time is needed between injections?
Round your answer to the nearest tenth, and do not round any intermediate computations.
The time is needed between injections is 3.6 hours, i.e., the drug is to be injected again when the number of milligrams reaches 6 mg.
We have the exponential function of number of milligrams D (ht) of a certain drug that is in a patient's bloodstream h hours after the drug is injected is
\(D(h)=25 {e}^{ - 0.4 h}\)
We have to solve for h (the numbers of hours) that would have passed when the D(h) (the amount of medication in the patient's bloodstream) equals 6 mg in order to know when the patient needs to be injected again.
\(6 = 25 {e}^{ - 0.4h} \)
\( \frac{6}{25} = \frac{25}{25} {e}^{ - 0.4h} \)
\(0.24= {e}^{ - 0.4h} \)
Taking logarithm both sides of above equation , we get,
\( \ln(0.24) = \ln( {e}^{ - 0.4h)} \)
Using the properties of natural logarithm,
\( \ln(0.24) = - 0.4h\)
\( - 1.427116356 = - 0.4h\)
\(h = \frac{1.42711635}{0.4} = 3.56779089\)
=> h = 3. 6
So, after 3.6 hours, the patient needs to be injected again.
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Explain which hill is steeper: a hill woth rise of 5 and a run of 3 of a hill with rise of 3 and a run of 5.
an element in a ring is called an idempotent if . prove that the only idempotents in an integral domain are and . find a ring with a idempotent not equal to 0 or 1.
A ring with a idempotent not equal to 0 or 1 is 3 and 4.
Make (R,+) a domain that is integral.
As a commutative ring with two elements, R, ab = 0 when either an or b are equal to zero.
If a ∈ R is an idempotent element, then a ≠ 0,a ≠ 1 will result.
\(a^{2}\) = a
We can take multiple of 1 because the same number return if we multiply 1 to any number.
\(a^{2}\) = a·1
Subtract a·1 on both side, we get
\(a^{2}\) - a·1 = 0
Taking a common
a(a -1) = 0
(a -1) = 0 or a =0
R has no zero divisors.
So, a = 1 or a = 0
As a result, the only idempotent elements in the integral domain R are 0 and 1.
A ring that is not equal to 0 or 1 and is idempotent.
A ring with respect to addition and multiplication is the set R = 0 through 5.
Let 3 ∈ R,
\(3^{2}\) = 6+3 = 0+3 = 3
Let 4 ∈ R.
\(4^{2}\) = 16 = 12+4 = 2
Hence, 3 and 4 are idempotent elements other than 0 and 1
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The complete question is:
An element x in a ring is called an idempotent if \(x^2\) = x. Prove that the only idempotents in an integral domain are 0 and 1. Find a ring with an idempotent x not equal to 0 or 1.
list the two types of sampling procedures group of answer choices causation and exact sampling precise and imprecise sampling probability and nonprobability sampling statistical and linear sampling large and small size sampling
The correct answer is Probability and non probability sampling procedure.
There are two distinct exits from sampling procedures.
There are two types of sampling: probability sampling and non-probability sampling.
In probability sampling each population has equal and independent chance to comes in the study . There are various types of probability samplings technique exists . These are simple random sampling , stratified random sampling, cluster sampling , systematic random sampling etc.
In non probability sampling the samples are selected on the basis of personal biasness, judgments and preferences. Judgemental sampling , quota sampling, dimensional sampling etc comes under this type of sampling procedure.
So here the correct answer is
Option -E- Probability and non probability sampling procedure.
Except it all other options are wrong.
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Solve and graph each inequality.
12. −20x ≥ −400
-30 -10 10 30
Answer:
12-20x≥-400
-20x≥-400+12
-20x≥-388
x≥-388/-20
x≥194
Rewrite this expression using a single exponent: \((10^{2} )^{3}\)
Find the constants m and b in the linear function f(x)=mx+b so that f(7)=9 and the straight line represented by f has slope −3.
m=
b=
To find the constants m and b in the linear function f(x) = mx + b, we can use the given conditions f(7) = 9 and a slope of -3.
The value of f(7) represents the y-coordinate of the point on the line when x = 7. So, substituting x = 7 into the equation, we get 9 = 7m + b.
The slope of a linear function is given by the coefficient of x, which in this case is -3. So, we have m = -3.
Now, we can substitute the value of m into the equation obtained from f(7). We get 9 = 7(-3) + b, which simplifies to 9 = -21 + b.
Solving for b, we find b = 30.
Therefore, the constants for the linear function f(x) = mx + b that satisfy the given conditions are m = -3 and b = 30.
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b=32 c= 51 find all missing sides and angles of right triangle
To find the missing sides and angles of a right triangle with side b = 32 and side c = 51, we can use the Pythagorean theorem and trigonometric ratios.
Let's denote the missing side as a and the angles as A and B, with B being the right angle.
Using the Pythagorean theorem, we know that in a right triangle, the sum of the squares of the two legs (a and b) is equal to the square of the hypotenuse (c):
a^2 + b^2 = c^2
Plugging in the given values, we have:
a^2 + 32^2 = 51^2
a^2 + 1024 = 2601
a^2 = 1577
a ≈ 39.73
Therefore, the length of the missing side a is approximately 39.73.
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en una tienda de ropa, la semana pasada, 3 pantalones y 2 abrigos costaban 245€. Esta semana estos artículos tienen un descuento del 20% y 5% respectivamente. Si ahora un pantalón y un abrigo cuestan 100,75€, ¿qué costaba cada artículo antes de la rebaja?
Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37
How to find the original cost?
Let's define the variables:
x = cost of a pant
y = cost of a coat.
First, we know that:
3x + 2y = 245
And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:
0.8x + 0.95y = 100.75
Then we have a system of equations:
3x + 2y = 245
0.8x + 0.95y = 100.75
We can isolate x on the second equation to get:
x = (100.75 - 0.96y)/0.8
x = 125.9 - 1.2y
Replace that in the other equation:
3*(125.9 - 1.2y) + 2y = 245
Solving for y:
3*125.9 - 3*1.2y + 2y = 245
y*(2 - 3*1.2) = 245 - 3*125.9
y = (245 - 3*125.9)/(2 - 3*1.2)
y = 82.94
Then the value of x is:
x = 125.9 - 1.2*82.94
x = 26.37
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the following values are true about a function f(x) and f(x)'s antiderivative f(x). x f(x) f(x) 1 -2 2 3 4 5 6 6 4 10 -13 -8 15 12 1 use the table to find ∫310f(x)dx
From the fundamental theorem of Calculus, for provide values of f(x) and F(x), the value of integral, \(\int_{3}^{10 } f(x) dx \), is equals to the -13. So, the option(c) is right one.
The fundamental theorem of calculus is used to link the concept of differentiation function with the concept of integration function. It states that, ' if f(x) is a continuous function over [a, b] and differentiable over (a, b) and F(x) is defined as F(x) = \(\int_{a}^{x } f(t) dt \) then F'(x) = f(x) over the interval [a, b].
We have true values of function f(x) and f'(x) antiderivative F(x) in the attached figure. We have to determine the value of integral \(\int_{3}^{10 } f(x) dx \). Let F(x) be the antiderivative of f(x). So, F'(x) = f(x) --(1)
Now, \(\int_{3}^{10 } f(x) dx \)
Using the equation (1), \( = \int_{3}^{10 } F'(x) dx \)
By fundamental theorem of integral calculus, \(= [ F(x)]_{3}^{10 }\)
= F(10) - F(3)
= - 8 - 5 = - 13
Hence, required value is -13.
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Complete question:
The attached figure contain true values about a function f(x) and f(x)'s antiderivative f(x). x f(x) f(x) 1 -2 2 3 4 5 6 6 4 10 -13 -8 15 12 1 use the table to find ∫310f(x)dx.
a) 16
b) 5
c) - 13
d) 6
state flags if we randomly select two state flags, with replacement, what is the probability that exactly one will have other characteristics?
The probability that exactly one will have other characteristics is 2 × (11/28 × 17/28). The correct answer is option e.
To calculate the probability that exactly one state flag will have other characteristics, we can break it down into two cases:
The first flag has other characteristics and the second flag does not.
The first flag does not have other characteristics and the second flag does.
The probability of the first case is (11/28) × (17/28), since the probability of selecting a flag with other characteristics on the first draw is 11/28, and the probability of selecting a flag without other characteristics on the second draw is 17/28 (since we are drawing with replacement, the probabilities remain the same for both draws).
Similarly, the probability of the second case is (17/28) × (11/28).
So the total probability is the sum of these two probabilities, which is:
(11/28) × (17/28) + (17/28) × (11/28) = 2 × (11/28) × (17/28) = 0.335 (rounded to three decimal places)
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The question is -
If we randomly select two state flags, with replacements, what is the probability that exactly one will have other characteristics?
a. 1/11 × 1/11
b. 2 × (11/28 × 17/27)
c. 12/28 + 17/28
d. 2 × 11/28
e. 2 × (11/28 × 17/28)
f. 11/28 × 17/28
Algebra: Solve for x
Answer:
x = -2
Step-by-step explanation:
\(\frac{6- -2}{2} = 4\\\\\frac{6+2}{2} = 4\\\\\frac{8}{2} = 4\\\\4 = 4\)
Chow,...!
Sophie is a teacher and takes home 86 papers to grade over the weekend. She can grade at a rate of 11 papers per hour. How many papers would Sophie have remaining to grade after working for 5 hours?
Since Sophie can grade 11 papers per hour
Since she worked for 5 hours, then
Multiply 11 by 5 to find the number of the graded papers
\(11\times5=55\)Since the total number of papers is 86, then to find the number of the remaining papers subtract 55 from 86
\(86-55=31\)There were 31 paper Sophie has to grade after working 5 hours
Recursive formula for
-4,3,10,17
Answer:
Recursive:
Step-by-step explanation:
Common difference ( d ): 17 - 10 = 7
Recursive Arithmetic:
\(a_n = a_{n-1} + d\)
\(a_n = a_{n-1} + 7\)
\(a_1 = -4\)
Hopefully this helped!
Zach designed a logo for his band, the C-Notes, by plotting the points: A(3, 10), B(7, 1 0), C(7, 8), 0(4,8), E(4, 4), F(7, 4), G(7, 2) and H(3, 2). Draw the C-Notes logo on grid paper. Find the perimeter of polygon ABCDEFGH.
The perimeter of polygon ABCDEFGH is 30 units.
To find the perimeter of polygon ABCDEFGH, we can add up the lengths of all the sides. We can do this by using the distance formula for each pair of adjacent points:
AB: sqrt((7-3)^2 + (10-10)^2) = 4
BC: sqrt((7-7)^2 + (8-10)^2) = 2
CD: sqrt((4-7)^2 + (8-8)^2) = 3
DE: sqrt((4-7)^2 + (4-8)^2) = 4
EF: sqrt((7-4)^2 + (4-4)^2) = 3
FG: sqrt((7-7)^2 + (2-4)^2) = 2
GH: sqrt((3-7)^2 + (2-2)^2) = 4
HA: sqrt((3-3)^2 + (10-2)^2) = 8
Adding up all of these lengths, we get:
4 + 2 + 3 + 4 + 3 + 2 + 4 + 8 = 30
Therefore, the perimeter of polygon ABCDEFGH is 30 units.
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(Part 3) PLEASE HELP ASAP!!!!!! THIS IS DUE ON FRIDAY!!!!!!!! By the way it’s only problems 1, 2, and 5
Bike traveled 1271.1 inches in 15 rotation. If the diameter of wheel is 27 inches.
Define circumference.The route or boundary that encircles any shape in mathematics is defined by the shape's circumference. In other terms, the circumference is also known as the perimeter, which aids in determining how long a shape's outline is. The measurement around a circle is called the circumference. In other words, one may claim that it is the circle's edge.
Given
Diameter of wheel = 27 inches
Complete resolutions = 15
Radius of wheel = 27/2
Radius of wheel = 13.5 inches
Circumference of wheel
2πr
2 × 3.14 × 13.5
84.78
Distance covered in one rotation = 84.78
Distance covered in 15 rotation
= 84.78 × 15
= 1271.7
Bike traveled 1271.1 inches in 15 rotation.
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15. What is the form of each of the following
conditional arguments?
If you don't pay them, they won't
protect you. You have paid them, so they will protect you.
Select one:
a.
VALID: Modus Ponen
The form of the given conditional argument is Modus Ponens.
The form of the given conditional argument "If you don't pay them, they won't protect you. You have paid them, so they will protect you" is Modus Ponens. It is a valid argument form of deductive reasoning that allows us to infer the consequent from the antecedent in the form of an "if-then" statement. In other words, if the antecedent of a conditional statement is true, then the consequent must also be true.
In the given statement, the antecedent is "If you don't pay them, they won't protect you" and the consequent is "they won't protect you." The second premise, "You have paid them," affirms the antecedent, therefore the consequent "they will protect you" can be inferred from the antecedent through the use of Modus Ponens.
The conditional argument is in the form of Modus Ponens, which is a valid argument form of deductive reasoning. It infers the consequent from the antecedent in the form of an "if-then" statement.
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Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it.
lim cos(x)/(1 − sin(x))
x → (π/2)+
To find the limit of cos(x)/(1-sin(x)) as x approaches (π/2)+, we can use l'Hospital's Rule.
First, we can take the derivative of both the numerator and denominator with respect to x: lim cos(x)/(1 − sin(x)) x → (π/2)+ = lim [-sin(x)/(cos(x))] / [-cos(x)] x → (π/2)+ = lim sin(x) / [cos(x) * cos(x)] x → (π/2)+
Now, plugging in (π/2)+ for x, we get: lim sin(π/2) / [cos(π/2) * cos(π/2)] x → (π/2)+ = 1 / (0 * 0) = undefined
Since the denominator approaches 0 as x approaches (π/2)+, and the numerator is bounded between -1 and 1, the limit does not exist.
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What property would you use to solve. x - 3= -5
Answer:
Addition
Step-by-step explanation:
x - 3 = -5
Add 3
x = -2
Lena has 2.1 kg of sugar. She uses 270 g for a cake. How much sugar does she have left? Give your answer in g.
Answer:
1830 grams
Step-by-step explanation:
2.1 kg of sugar is equal to 2100 g of sugar. subtract 270 grams from 2100 grams to find out that Lena has 1830 grams of sugar left.
Answer:
1830g
Step-by-step explanation:
Given That:
Total amount of sugar = 2.1kg = 2100g
Amount of sugar used = 270g
Amount of sugar left = ?
To find the amount of sugar, find the difference between the 2 values:
2100 g - 270g = 1830g
Hope this helps.
Good Luck
___ could be used to solve the problems caused by the electoral college.
One possible solution that could be used to address the problems caused by the Electoral College is "electoral reform."
Popular Vote: One approach is to replace the Electoral College with a system where the President is directly elected by a popular vote. This would eliminate the possibility of a candidate winning the presidency while losing the popular vote, as has happened in some elections.
Proportional Representation: Another option is to implement a proportional representation system, where the allocation of electors is based on the percentage of votes a candidate or party receives in each state. This would ensure a more proportional representation of voters' preferences and reduce the influence of winner-takes-all mechanisms.
National Popular Vote Interstate Compact: This reform proposal aims to work within the existing Electoral College framework. States that join the compact agree to allocate their electoral votes to the winner of the national popular vote, effectively ensuring that the candidate who receives the most votes nationwide becomes the President.
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Can please someone help me? The question is in the picture. Thank you
Answer:
C. \(9\pi\)
Step-by-step explanation:
We proceed to solve for \(x\) by the Pythagorean Theorem:
\((x+1)^{2} = (x-1)^{2} + (2\cdot x - 4)^{2}\) (1)
\(x^{2} + 2\cdot x + 1 = (x^{2}-2\cdot x + 1) + (4\cdot x^{2}-16\cdot x + 16)\)
\(x^{2} + 2\cdot x + 1 = 5\cdot x^{2}-18\cdot x + 17\)
\(4\cdot x^{2} -20\cdot x + 16 = 0\)
\((2\cdot x)^{2} -10\cdot (2\cdot x) + 16 = 0\)
\((2\cdot x -8)\cdot (2\cdot x -2) = 0\)
There are two different solutions:
\(x_{1} = 4\), \(x_{2} = 1\)
A solution of \(x\) is considered realistic when the length of every side of the triangle is a not negative number.
\(x_{1} = 4\)
\(UV = 2\cdot (4) - 4\)
\(UV = 4\)
\(WU = 4 - 1\)
\(WU = 3\)
\(WV = 4 + 1\)
\(WV = 5\)
\(x_{2} = 1\)
\(UV = 2\cdot (1) - 4\)
\(UV = -2\)
\(WU = 1 - 1\)
\(WU = 0\)
\(WV = 1 + 1\)
\(WV = 2\)
The only realistic set of solutions is for \(x = 4\), and the radius of the circle is represented by the line segment \(WU\): \(r = 3\)
And the area of the circle (\(A\)) is calculated from the following formula:
\(A = \pi\cdot r^{2}\)
\(A = \pi\cdot (9)\)
\(A = 9\pi\)
The correct answer is C.