if the measure of angle 6 is 28⁰ then the measure of angle 3 is
Answer: 62
Step-by-step explanation:
Every triangle’s angles add up to 180. since it’s a right triangle one of the angles is 90 degrees and the other is 28 degrees. so then you have to find the other angle which would made it add up to 180. which is 62.
28+90=118
180-118=62
What is the domain? I need help on this problem
The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x ≥ -6
How to determine the domain of the functionFrom the question, we have the following parameters that can be used in our computation:
\(f(x) = \sqrt{\frac{1}{3}x + 2\)
Set the radicand greater than or equal to 0
So, we have
1/3x + 2 ≥ 0
Next, we have
1/3x ≥ -2
So, we have
x ≥ -6
Hence, the domain of the function is (d) x ≥ -6
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Two parallel lines, a and b, are cut by a transversal w. The measures of two angles formed are given in the diagram. What is the measurement of the angle labeled (3x)°?
The measurement of the angle labeled (3x)° include the following: 120°.
What is corresponding angles postulate?In Mathematics and Geometry, corresponding angles postulate simply refers to a theorem which states that corresponding angles are always congruent (equal) if the transversal intersects two parallel lines.
This ultimately implies that, the corresponding angles would always be congruent (equal) if a transversal intersects two (2) parallel lines.
60 + y = 180
y = 180 - 60
y = 120°
By applying corresponding angles postulate to both lines a, b, and w, we can reasonably infer and logically deduce that the following angles are congruent:
3x = 120°
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what is the opposite of 0.75
The opposite of 0.75 is -3/4.
What is Additive Inverse?To get a result equal to 0, add the original number and the additive inverse by simply changing the sign of the integer. On the basis of negation of the original number, the characteristics of additive inverse are listed below.
Given:
we have 0.75
So, to find the opposite we have to find the additive inverse of 0.75
Then, the additive inverse of 0.75 is (-0.75).
Then, -0.75 = -3/4.
Hence, the opposite is -3/4.
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True or false the incenter of a triangle is the center of the only circle that can be circumscribed about it?
Answer:
true because the center of the triangle is in the middle
A boat can travel 10 miles downstream in the same time it
can travel 3 miles upstream. The speed of the river
current is 2 miles per hour. Which equation could you use
to find the speed of the boat in still water?
Answer:
\(\frac{10}{x+2} = \frac{3}{x-2}\)
Step-by-step explanation:
The 10 represents the speed traveling downsteam while the 3 represents speed upstream. Downstream you have the help of the current, so it would be x + 2, upstream you are working against the current so it would be x - 2.
x 0 1 2 3 4 p(x) 0.05 0.25 0.35 0.25 0.10 for the probability distribution above, what is the probability of an x that is at least 2?
The probability of an x that is at least 2 is 0.70.
The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%.
P(E) means the probability of an event to occur.
P(E) is that of at least 2 means P(E) is greater than equals to 2, so we will take value greater than and equal to 2 i.e., 2,3,4
P(E) = P (X \(\geq\) 2)
= P(X=2) + P(X=3) + P(X=4)
= 0.35 + 0.25 + 0.10
= 0.70
Therefore, the required probability is 0.70.
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Hadley paddled a canoe 2/3 mile in 1/4 hour. How fast did Hadley paddle, in miles per hour?
Answer:
to find the whole ratio from a part use a reciprocal (i.e for this one 1/4, it's 4)
Then wee multiply it to 2/3
2/3 x 4 = 8/3 = 2.666666666 = 2.67
8/3 or 2.67 is the answer
Step-by-step explanation:
jennifer has three more dimes than nickels and three times as many quarters as nickels. if she has $7.50, how many quarters does she have? www.wyzant
Jennifer has 48 nickels, which means she has 144 quarters.
Let's call the number of nickels Jennifer has "n".
Since Jennifer has three more dimes than nickels, she has n + 3 dimes.
And since she has three times as many quarters as nickels, she has 3n quarters.
We can start by figuring out the total value of the nickels and dimes in terms of cents:
n * 5 cents + (n + 3) * 10 cents = 750 cents
Expanding the right side of the equation and solving for n:
5n + 10n + 30 cents = 750 cents
15n + 30 cents = 750 cents
15n = 720 cents
n = 48
So Jennifer has 48 nickels, which means she has 3 * 48 = 144 quarters.
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Which number is the closest approximation to the value of \(\sqrt{83}\)?
A) 9.1
B) 9.2
C) 41.5
D) 41.6
solve the following using BEDMAS
5X4 -(3+1)2÷2
the value of the expression is 12.
To solve the following using BEDMAS 5X4 - (3 + 1)2 ÷ 2:BEDMAS is an acronym that represents the order of operations for arithmetic operations in the correct order, that is, "Brackets", "Exponents", "Division and Multiplication", and "Addition and Subtraction."The full form of BEDMAS is- B stands for Brackets.E stands for Exponents.D stands for Division.M stands for Multiplication.A stands for Addition.S stands for Subtraction.
The given expression is;5X4 - (3 + 1)2 ÷ 2When we solve this expression using the BEDMAS rule of the order of operations, we get;= 5 x 4 - (3 + 1) x 2 ÷ 2[Since brackets comes first, then multiplication and division, followed by addition and subtraction.]= 20 - 4 x 2 ÷ 2[Perform multiplication: 3 + 1 = 4 and 4 x 2 = 8]= 20 - 8[Perform Division: 8 ÷ 2 = 4]= 12Therefore, the value of the expression is 12.The solution of the given expression using the BEDMAS rule of the order of operations is explained. The BEDMAS rule defines the correct order in which arithmetic operations should be performed.
It consists of four fundamental operations. They are brackets, exponents, multiplication and division, and addition and subtraction. The expression, 5X4 - (3 + 1)2 ÷ 2, can be solved using the BEDMAS rule of operations. First, we will simplify the brackets, followed by division and multiplication, then addition and subtraction. We will get the following expression 5 x 4 - (3 + 1) x 2 ÷ 2. We will then perform multiplication by finding the product of (3 + 1) and 2, which equals 8. Finally, we will perform division by dividing 8 by 2, which equals 4. After we have completed these steps, we will subtract 8 from 20 to get the final answer of 12.
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Which of the following is the solution set of the
problem?
O (-∞, -3)
(-∞, -3]
O
[-3,00)
O (-3,00)
DONE
The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;
(-∞, -3]How can the solution set of an inequality be found?A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;
2•x + 3 ≤ -3Solving the above inequality, we have;
2•x + 3 ≤ -3
2•x ≤ -3 - 3 = -6
2•x ≤ -6
Therefore;
x ≤ -6 ÷ 2 = -3
x ≤ -3
Which gives;
-∞ < x ≤ -3-∞ < x ≤ -3 in interval notation is (-∞, -3]
The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;
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Let f be the function defined by f(x)=xlnx for x>0. On what open interval is f decreasing?
The function f(x) = xlnx is decreasing on the open interval (0, e^-1).
To find the interval on which the function f(x) = xlnx is decreasing, we need to find the intervals where the first derivative f'(x) is negative.
Using the product rule of differentiation, we can find the first derivative of f(x) as
f'(x) = x × (1/x) + ln(x) × 1 = 1 + ln(x)
Now, we need to find the values of x where f'(x) < 0
1 + ln(x) < 0
ln(x) < -1
x < e^-1
Therefore, f(x) is decreasing on the interval (0, e^-1).
Note that we exclude x = 0 from the interval because the function is not defined for x ≤ 0.
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Conor is going to the movie theater. A ticket to a movie costs t dollars, and there is a 15% amusement tax on each ticket.
a. Conor buys a ticket to see a movie. Write two expressions in terms of t showing his total cost.
b. The price of a movie ticket is $12.49. Use one of the expressions you wrote in part a to find Conor’s total cost, rounded to the nearest penny. Show your work.
a) Two mathematical expressions in terms of t showing Conor's total cost for going to the movie theater are:
1) 1.15t2) t + 0.15t.b) Using one of the mathematical expressions above, Conor's total cost for going to the movie theater is $14.36.
What are mathematical expressions?Mathematical expressions are combinations of numbers and variables, using mathematical operations such as addition, subtraction, multiplication, division, and exponentiation.
Mathematical expressions are also known as algebraic expressions.
The cost of a ticket to a movie = t dollars
Amusement tax on each ticket = 15%
a) Mathematical Expressions to model the total cost, t:
Total cost = 1.15t
Total cost = t + 0.15t
b) Price of a movie ticket = $12.49
Conor's total cost = 1.15(12.49)
= $14.36
Using algebraic expressions, when Conor purchases a movie ticket for $12.49, including a 15% amusement tax, brings the total cost to $14.36.
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The perimeter of triangle STU is 28.8 centimeters. Which is the perimeter of triangle JKL?
Answer:
You forgot to add a picture and/or more context.
Step-by-step explanation:
Answer:
j
Step-by-step explanation:
30 POINTS AND BRAINLEST FOR ANSWER HELP!!!!!
Answer:
a
Step-by-step explanation:
Will someone help please? only with 1-8
Answer:
1. x+2=2x+1 5. 8+x=3x
2-1=2x-x 8 =3x-x
1=x or x=1 8=2x
x=4
2. 2x+7=3x+4 6. 3x+6=6x
2x-3x=4-7 3x-6x=-6
-x=-3 -3x=-6
x=3 x=2
3. 2x-5=x-7. 7. 3x+3=x-5
2x-x= -7+5 3x-x= -5-3
x= -2 2x=-8
x=-4
4. x+6=3x-2 8. 2x+5=4x-1
x-3x= -2-6 2x-4x= -1-5
-2x=-8 -2x= -6
x=4 x=3
A cyclist rides into the country at an average speed of 10 miles per hour. When his bike gets a flat tire, he walks it back at an average speed of 3 miles per hour. If he returns home 6 and a half hours after he starts, how far into the country does he go?
The distance the cyclist traveled into the country, given that he rides into the country at an average speed of 10 miles per hour is 15 miles
How do i determine the distance traveled?Let the total distance traveled into the country be y.
Now, we shall determine the riding time. Details below:
Speed = 10 mile per hourDistance traveled = yRiding time = ?Riding time = Distance / speed
Riding time = y / 10
Next, we shall obtain the walking time of the cyclist. This is shown below:
Speed = 3 mile per hourDistance traveled = yWalking time = ?Walking time = Distance / speed
Riding time = y / 3
Finally, we shall obtain the total distance traveled. This is illustrated below:
Riding time = y / 10Riding time = y / 3Total time = 6.5 hoursTotal distance = y =?Total time = riding time + walking time
6.5 = y/10 + y/3
6.5 = (3y + 10y) / 30
6.5 = 13y / 30
Cross multiply
13y = 6.5 × 30
13y = 195
Divide both sides by 13
y = 195 / 13
y = 15 miles
Thus, the total distance traveled by the cyclist into the country is 15 miles.
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Planes x and y are perpendicular. Points a, e, f, and g are points only in plane x. Points r and s are points in both planes x and y. Lines ea and fg are parallel. Based on this information, which pair of lines, together, could be perpendicular to rs? select two options.
The pair of lines perpendicular to RS are EA and FG.
A flat surface on which a straight line joining any two points on it would wholly lie is known as a plane.
What is plane?
A plane is a point, a line, and three-dimensional space's equivalent in two dimensions.
Main Body:
Given
E,F and G are on plane X. R and S are in both planes X and Y. EA and FG are parallel. AE and FG are vertical lines and are present on plane X. RS is present at the intersection of the 2 planes.
Explanation:
The lines which together could be perpendicular to RS are EA and FG.
We have to first draw both the planes according to the given information in question.
X is a vertical plane so draw a plane vertical on the horizontal plane that is Y plane. Now plot A and F And G in X plane and R,S in such a way that they are in both plane so they will be at the intersection of both the planes. Now draw lines from A and F to form lines EA and FG.
Hence we can observe that lines EA and FD are perpendicular on line RS.
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write the following as a system of first-order equations (t 1)2 d 3 y dt3 d 2 y dt2 2 dy dt 6y(t)
The system of first-order equations that is equivalent to the given second-order differential equation is dy/dt = z, dz/dt = w, and dw/dt = (-3z - 2w - 6y)/t².
To write the given second-order differential equation as a system of first-order equations, we need to introduce new variables.
Let z = dy/dt. Then, we can rewrite the given equation as
d³y/dt³ = dz/dt
d²y/dt² = dz/dt = z
Substituting these expressions into the original equation, we get
(t²) (d³y/dt³) + 3(d²y/dt²) + 2(dy/dt) + 6y = t² (dz/dt) + 3z + 2(dy/dt) + 6y
Simplifying and grouping the terms, we obtain
d/dt [y, z, w] = [z, w, (-3z - 2w - 6y)/t²]
where w = dt/dt = 1.
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Assume that there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents. Scientists later investigate whether or not this bivariate relationship is moderated by age.
Age 16-20: r = 0.6 p = 0.01
Age 21+: r = 0.2 p = 0.05
T or F: Based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
Let's first understand what is meant by the term "moderator.
"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.
Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.
So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
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-2(t+-4)=10-2t how many solutions does this equation have.
the given expression is
-2 (t + (-4) ) = 10 -2t
= -2t + 8 = 10 - 2t
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs \$3.25$3.25dollar sign, 3, point, 25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most \$30$30dollar sign, 30 before tax. The restaurant only sells pancakes in stacks of 444 pancakes for \$5.50$5.50dollar sign, 5, point, 50. Let SSS represent the number of stacks of pancakes that Benjamin buys.
Answer:
4 stacks of packages
4 * 4 = 16 pieces of pancake
Step-by-step explanation:
Maximum amount to spend ≤ $30
Milk chocolate = $3.25
Pancakes per stack = 5.50 (sold in stacks of 4)
Let number of stacks = s
In equality terms :
3.25 + 5.50s ≤ 30
5.50s ≤ 30 - 3.25
5.50s ≤ 26.75
s ≤ 26.75 / 5.50
s ≤ 4.86
Hence, 4 stacks of pancakes can be purchased
Answer:
3.25+5.50S<30
Step-by-step explanation:
Benjamin can afford at most 16 pancakes
What is the IQR for the following set of data
17, 11, 12, 18, 12, 16, 15, 14, 13
Answer:
First, we have to set it from least to greatest 11, 12, 12, 13, 14, 15, 16, 17, 18
The interqurtile range is q3 - q1
Q3 is 16.5 and the q1 is 12
16.5 - 12 = 4.5
Step-by-step explanation:
Answer is 4.5
Interquartile range (IQR) :
The interquartile range shows the range in values of the central 50% of the data. To find the interquartile range, subtract the value of the lower quartile ( or 25%) from the value of the upper quartile ( or 75%).
=> IQR = Q3 – Q1
Here,
First Arrange the data in ascending order.
11, 12, 12, 13, 14, 15, 16, 17, 18
Median = 14.
Q1 = 12 and Q3 = 16.5
IQR = Q3 - Q1 => 16.5 - 12 = 4.5
Answer is 4.5
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If a cylindrical vase has a 63 cubic centimeter volume an a cone has the same height and radius as the cylinder what is the volume of the cone
Answer:
\(21cm^{3}\)
Step-by-step explanation:
According to the problem, calculation of given data are as follows,
Volume of cylindrical vase = \(63cm^{3}\)
As, Cone has same height and radius as cylinder, than we can calculate volume of cone by using following formula,
Volume of cone = \(\frac{1}{3}\) × Volume of cylindrical vase
By putting the value, we get
Volume of cone = \(\frac{1}{3}\) × 63
Volume of cone = \(21cm^{3}\)
which expression can you use to find the number of ways to choose 5 cards from a 52-card deck? how many ways can you choose the 5 cards?
The expression that you can use to find the number of ways to choose 5 cards from a 52-card deck is 52!/(47! * 5!).
The expression that you can use to find the number of ways to choose 5 cards from a 52-card deck is 52 choose 5, which is equal to 52!/(47! * 5!), where the exclamation point indicates the factorial function. This is known as the binomial coefficient, and it represents the number of ways to choose a certain number of items from a larger set. In this case, the binomial coefficient is used to find the number of ways to choose 5 cards from a deck of 52 cards.
The order of the cards is irrelevant in card games like poker. A five-card draw of 1,2,7,9, K is equivalent to a draw of K,7,9,1,2. What counts is the fundamental overall group.
Order is irrelevant, therefore we utilize a combination (instead of a permutation)
We will substitute n = 52 and r = 5 into the nCr combination formula, which is n C r = (n!)/(r!*(n-r)!)
so we obtain:
n C r = r!*(n-r)!/(n!)
52 C 5 = (52!)/(5!*(52-5)!)
52 C 5 = (52!)/((52-5)!*5!)
The complete question is:-
Which expression can you use to find the number of ways to choose 5 cards from a 52-card deck?
a) (52-5)! / 52!5!
b) 52! / (52-5)!
c) 52! / (52-5)!5!
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fill in the blank to make the two fractions equivalent. 3/4 = ?/24
Answer:
3/4 = 18/24
Step-by-step explanation:
4x6 is 24 so jus times 3 by 6 and get 18
so the answer is 18
Consider the following hypothetical scores: 21, 25, 37, 38, 39, 42, 44, 45. What is the value of the range?
Answer:
24
Step-by-step explanation:
The range is the biggest number subtracted by the smallest number.
45-21=24
I hope this helped <3
HELLP anyone know the answer?!
Answer: 212998.58
Step-by-step explanation:
plz mark me brainliest
if the price increases 6% every year for 7 years you would have to multiply 7 by 6 which is 42 so you have to add 42% to 149,999 which is 212998.58.
Answer:
$212998.58
How I Found The Answer:
6% Would Be $8999.94
$8999.94 × 7 = $62999.58
$149999 + $62999.58 = $212998.58
Please help me thank you