Answer:
62 degrees.
Step-by-step explanation:
If angle JIK is 59 then angle JKI is also 59 as the lines through the two lengths show us the triangle is isosceles. Angles in a triangle add up to 180 so we can do:
180 - (59+59)
180 - 118
62, angle IJK is 62.
The equation C=24n+2 represents the cost
Jim did not buy any tickets (n_Jim = 0).
Larry bought 7 more tickets than Jim.
To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.
For Larry:
Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:
$170 = 24n + 2
Subtracting 2 from both sides:
$168 = 24n
Dividing both sides by 24:
n = 7
For Jim:
We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:
n_Jim = n_Larry - 12
n_Jim = 7 - 12
n_Jim = -5
Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).
To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:
n_difference = n_Larry - n_Jim
n_difference = 7 - 0
n_difference = 7
Therefore, Larry bought 7 more tickets than Jim.
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Question
The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12
Find the measure of angle a if the supplement of angle a is 20° greater than twice the complement of angle a
Taking into account the definition of Complementary and Supplementary Angles, the measure of the angle "a" is 20°.
Complementary and Supplementary AnglesTwo or more angles are complementary if their measures add up to a right angle, that is, they add up to 90◦.
Two or more angles are supplementary if their measures add up to a straight angle, that is, they add up to 180◦.
Measure of an angle"a"In this case, let "a" be the measure of the angle. Then, you know:
the supplement is 180 - a.the complement is 90 - a.twice means a multiplication of a quantity by two. Then, twice the complement of angle is 2×(90 - a).20° greater means add 20°.
So, the equation to solve to calculate the angle "a" is
180 - a = 20 + 2×(90 - a)
Solving:
180 - a = 20 + 2×90 - 2a
180 - a= 20 + 180 - 2a
180 - a = 200 - 2a
-a +2a= 200 - 180
a= 20
Finally, the measure of the angle "a" is 20°.
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Perform the indicated operation.
(8-15i)+(-3+2i)
Answer:
5 - 13i
Step-by-step explanation:
Add the non-imaginary values:
8 + (-3) =
8 - 3 =
5
Add the imaginary values.
(-15i) + 2i =
-13i
Combine them to get: 5 - 13i.
Answer:
5-13i
Step-by-step explanation:
(8-15i)+(-3+2i)
Add like terms:
8-(-3)=5
-15i+2i=13i
So, 5-13i
Solve for y.
−2y+5=−11
Responses
y = 8
y, = 8
y = 3
y, = 3
y=−3
y equals negative 3
y=−8
Answer:
8
Step-by-step explanation:
bResponses
y = 8
y, = 8
y = 3
y, = 3
y=−3
12 / 3 + 6 x 2? can anyone help?
Answer:
16
Step-by-step explanation:
12 divided by 3 = 4 and 6*2 = 12
12+4=16
The value of this answer is 16
To solve this expression, we will apply the properties of mathematical operations.
- First, we multiply or divide
- Second, we subtract or add
Resolution
12/3 + 6 x 2
4 + 6 x 2
4 + 12
16
So, the correct value is 16
44° 6 Find the value of x to the nearest tenth.
Given:
Angle = 44 degrees.
Adjacent side = 6 units.
Hypoteuse side = x units
Recall the formula for cosine,
\(\cos \theta=\frac{Adjacent\text{ side}}{\text{Hypoteuse side}}\)Substitute Adjacent side = 6 units, Hypoteuse side =x units and angle =44, we get
\(\cos 44^o=\frac{6}{x}^{}\)\(\text{ Use }\cos 44^o=0.719.\)\(0.179=\frac{6}{x}^{}\)\(x=\frac{6}{0.179}\)\(x=8.34\)Round off, we get
\(x=8.3\text{ units}\)Hence the value of x is 8.3 units.
What is the median of this data set?
{16, 16, 16, 19, 20, 22, 23, 24, 24}
Answer:
The median is 20
Step-by-step explanation:
They are already in order so you would just have to find the middle.......
Hope this helps.......if not then sorry for wasting your time and may God bless you
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
Select all of the following polnts that lle on the graph of f(x) = 7 - 3x.
Answer:
you need to include a pic of it. dont worry, once u add the pic i will change my answer so 1i dont take up an answer space
Step-by-step explanation:
I need to keep 20.0 mg of a drug in my system at a minimum and a Maximum of 140. mg. The half life of the drug that I put in my system is 16 hours. I have put 100.0 mg in my system by ingesting a pill. When is the earliest I should take the next 100.0 mg pill? When is the latest?
Answer:
Therefore, the earliest time to take the next pill is after 10.85 hours and the latest time is before 15.14 hours have passed.
Step-by-step explanation:
The concentration of the drug in your system after ingesting 100.0 mg can be calculated using the formula:
C = D / V
where C is the concentration, D is the dose, and V is the volume of distribution (assumed to be constant).
At the initial time, t = 0, the concentration is:
C(0) = 100.0 mg / V
After one half-life, t = 16 hours, the concentration is:
C(16) = C(0) / 2 = 50.0 mg / V
After two half-lives, t = 32 hours, the concentration is:
C(32) = C(16) / 2 = 25.0 mg / V
After three half-lives, t = 48 hours, the concentration is:
C(48) = C(32) / 2 = 12.5 mg / V
To find the earliest and latest times to take the next 100.0 mg pill, we need to calculate the concentration at those times and make sure it stays between 20.0 mg and 140.0 mg.
Let's first find the earliest time at which the concentration drops below 20.0 mg.
20.0 mg / V = C(16 + x) = 50.0 mg / V / (2^(x/16))
Solving for x:
2^(x/16) = 50.0 / 20.0 = 2.5
x/16 = log2(2.5)
x = 16*log2(2.5) = 16*0.678 = 10.85
So the earliest time to take the next pill is after 10.85 hours.
Now let's find the latest time at which the concentration goes above 140.0 mg.
140.0 mg / V = C(16 + x) = 50.0 mg / V / (2^(x/16))
Solving for x:
2^(x/16) = 50.0 / 140.0 = 0.3571
x/16 = log2(0.3571)
x = 16*log2(0.3571) = -15.14
So the latest time to take the next pill is before 15.14 hours have passed.
A movie is being shown on television. The movie is scheduled for a 150 minute time lot and will include some commercial breaks. The number of commercial breaks can be determined by the equation 6x + 114 = 150, where x represents the number of commercial breaks.
A. Identify the meaning of the coefficient and the constant in the context of this situation.
B. Solve to find the number of commercial breaks.
C. Graph the solution.
Answer:
x=6
Step-by-step explanation:
5tgghjkli
The ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6. Terrence owns 36 models cars. How many model cars does Jim own?
The number of Jim's model car is 48
How to determine the number of JIm's carFrom the question, we have the following parameters that can be used in our computation:
Ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6
This means that
Jim : Terrence = 8 : 6
Also from the question, we have
Terrence owns 36 models cars
This means that
Terrence = 36
Substitute the known values in the above equation, so, we have the following representation
Jim : 36 = 8 : 6
Multiply by 6
Jim : 36 = 48 : 36
So, we have
Jim = 48
Hence, the number of car is 48
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List all the 4-tuples in the relation {(a,b,c,d) | a,b,c,d∈!+ , a+b+c+d = 6}
We have a total of seven 4-tuples that satisfy the given relation.The given relation is {(a,b,c,d) | a,b,c,d∈!+ , a+b+c+d = 6}. It can be understood as the set of 4-tuples (a, b, c, d) such that a, b, c, and d are positive integers and their sum is equal to 6.
Let's now list all the possible 4-tuples that satisfy the given relation. The possible combinations are as follows: (1, 1, 1, 3), (1, 1, 2, 2), (1, 2, 1, 2), (2, 1, 1, 2), (1, 2, 2, 1), (2, 1, 2, 1), and (2, 2, 1, 1).
Here's a brief explanation on how these 4-tuples were obtained. Let a, b, c, and d be positive integers such that a+b+c+d = 6. The least possible value that each variable can take is 1.
So, we start with a=1 and find all possible values of (b, c, d) that satisfy the given equation. Then, we move to a=2 and repeat the process. Finally, we list all the possible 4-tuples that we obtained.
Thus, we have a total of seven 4-tuples that satisfy the given relation.
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please help me with this. I have been trying to figure it out for a long time
Given the expression:
\(2y^6+12y^2-3\)since we have the terms 2y^6, 12y^2 and -3, we have that this expression is a trinomial.
Its degree is the hightes exponent on the variables. In this case, the highest exponent is 6, therefore, the trinomial has degree 6
Which of the following situations can be represented by the expression 3n – 15 ? Select all that apply.
Answer: B
Step-by-step explanation:
.04 + .143 + .3706 =
A .4536
B .5436
C .5536
D .5889
E none of these
The required value of the sum of the decimal values is 0.5536. Option c is correct.
Given that,
0.4 + 0.143 + 0.3706 =
It is defined as a decimal number that only consists of repeating digits after a certain interval after the decimal. For example, 94.642642642..., 213.569569... etc.
Here,
To simplify 0.4 + 0.143 + 0. 3706 we transform it into
= 0.0400 + 0.1430 + 0.3706
= 0.1830 + 0.3706
= 0.5536
Thus, the required value of the sum of the decimal values is 0.5536. Option c is correct.
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What is the percent of increase from 5,000 to 7,000?
Answer:
40%
Step-by-step explanation:
Aleks topic please help
Answer:
Item price now= 3.95
Step-by-step explanation:
To find out the price now, we will subtract 79 (original price) by 95% of 75. That will equal the discounted price. Finding the percentage of anything, we can use the formula, Total amount•percentage/100. The total amount is 79, and the percentage is 95. 79•95=7505, 7505/100=75.05. Now, 95% of 79 is 75.05, 79-75.05=3.95. $3.95 is the price now of the item. Though, I am unsure what a ALEKS calculator is. Have a nuce time, and joyful day
Hi I need help finding the degree measure of Radian on a triangle with hypotenuse =7 and opposite =3
Answer:
24.6 degrees.
Step-by-step explanation:
To find the degree measure of the radians in a right triangle with hypotenuse = 7 and opposite = 3, we need to use trigonometric ratios. Since the opposite and hypotenuse are given, we can use the sine ratio.
sin(θ) = opposite/hypotenuse
sin(θ) = 3/7
Now we need to find the angle measure θ. We need to use the inverse sine or arcsine function to do this.
θ = sin^-1(3/7)
θ ≈ 0.429 radians
To find the degree measure, we must convert radians to degrees by multiplying by 180/π.
θ ≈ 0.429 x 180/π
θ ≈ 24.6 degrees
Therefore, the degree measure of the radians in the given triangle is approximately 24.6 degrees.
10 + 3x < 4 or 2x + 5 > 11 in interval notation
Answer:
( − ∞ , ∞ ) hope i help
Step-by-step explanation:
First, solve each inequality. I'll solve the first one first.
7 ≥ 2 x − 5
12 ≥ 2 x
6 ≥ x
Therefore, x could be any number less than or equal to 6. In interval notation, this looks like:
( − ∞ , 6 ]
The parenthesis means that the lower end is not a solution, but every number above it is. (In this case, the lower end is infinity, so a parenthesis must be used, since infinity is not a real number and so it cannot be a solution.) The bracket means that the upper end is a solution. In this case, it indicates that not only could
x
be any number less than 6, but it could also be 6.
Let's try the second example:
3 x − 2 4 > 4
3 x − 2 > 16 3 x > 18 x > 6
Therefore, x could be any number greater than 6, but x couldn't be 6, since that would make the two sides of the inequality equal. In interval notation, this looks like:
( 6 , ∞ )
The parentheses mean that neither end of this range is included in the solution set. In this case, it indicates that neither 6 nor infinity are solutions, but every number in between 6 and infinity is a solution (that is, every real number greater than 6 is a solution).
Now, the problem used the word "OR", meaning that either of these equations could be true. That means that either x is on the interval ( − ∞ , 6 ] or the interval ( 6 , ∞ )
. In other words, x
is either less than or equal to 6, or it is greater than 6. When you combine these two statements, it becomes clear that
x
could be any real number, since no matter what number
x
is, it will fall in one of these intervals. The interval "all real numbers" is written like this:
( − ∞ , ∞ )
SOMEONE HELP ME PLEASE
Answer: SAS
i did this in 6th grade so i think if i remember its sas
Step-by-step explanation:
Question content area top Part 1 Think About the Process Use the algebra tiles to help you solve the equation 2x - 4 = 10. What is the first step in solving the equation using algebra tiles? What is the solution to the equation?
The solution to the equation is x = 7.
What is the linear equation in one variable?
A linear equation in one variable is an equation of the form ax + b = 0, where a and b are constants and x is the variable. The general form of a linear equation in one variable is ax + b = 0, where a and b are constants and x is the variable. The graph of a linear equation in one variable is a straight line.
The first step in solving the equation 2x - 4 = 10 using algebra tiles would be to add 4 to both sides of the equation to get 2x = 14. The next step would be to divide both sides of the equation by 2 to get x = 7.
Hence, the solution to the equation is x = 7.
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Question 10 of 25 What is the recursive formula for this geometric sequence? -2,-16, -128, -1024,... A. ○ B. C. (a, D. 3₁ = :-2 an = 2n-1 = = -2 an = an-1.8 • a₁ = 8 an = an-1• (-2) (a₁ = -8 30 = 20-1.2 SUBMIT
Answer:
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
Step-by-step explanation:
a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r
here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
HELP PLEASEE HURRY PLEASE
Answer:
Here
Step-by-step explanation:
( 10 POINTS)
You destination is 100 miles away and your fuel gauge shows that you gas tank is one-quarter full. Your tank holds 16 gallons of gas and your car averages about 20 miles per gallon. Do you need to stop for gas?
Answer:
Step-by-step explanation:
yes you have 16*1/4 = 4 gallons of gas in the tank, and we all know the gas gauges are not too accurate as they get low, there could be a lot less :0
but if you did have 4 gallons, and you could get 20 MPH, then you will only go
4*20 = 80 miles... have a nice 20 mile walk :/ or get gas , your choice :P
Answer:
Yes
Step-by-step explanation:
If the tank is 1/4 full and the max amount that the tank can hold is 16, this means that there is 4 gallons in the tank
4 times 20 = 80
Meaning you only have 80 miles of gas left to drive with.
Which of the following equations must be true? A k +5 (3 – 1) = 15+ k B) 3+ 7k 21+ 3k C) 5 2k = 3K © 5 D) 5 (7 + k) = 35 + 5k
Answer:
D is the correct answer
im sure
please helpppp .....
3) There are 10 sides, so the sum of the angles is \(180(10-2)=1440^{\circ}\)
4) There are 9 sides, so the sum of the angles is \(180(9-2)=1260^{\circ}\).
Please help I been stuck on this question for so long
Answer: 1/ 3 ^9
Step-by-step explanation:
Answer:
1/39
Step-by-step explanation:
3-9=1/39
The answer is 0ne over three exponent nine
2. What is the 7th term of an A.P: 50+45+40? a. 40, b. 20, c. 15, d. 22
The 7th term of an Arithmetic Progression 50+45+40 is 20
How to determine the 7th term of an Arithmetic Progression 50+45+40?The Arithmetic Progression is given as:
50+45+40
In the above Arithmetic Progression, we have
First term, a= 50
Common difference, d = 45 - 50 = -5
The nth term of the Arithmetic Progression is calculated as:
Tn = a + (n - 1)d
Substitute the known values in the above equation
Tn = 50 + (n - 1) * -5
Substitute 7 for n in the above equation
Tn = 50 + (7 - 1) * -5
Evaluate the product
Tn = 50 - 30
Evaluate the difference
T7 = 20
Hence, the 7th term of an Arithmetic Progression 50+45+40 is 20
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The concept of hope is nothing more than giving up. A word that holds no true meaning.
Answer:
lol fr
Step-by-step explanation:
Answer:
Big pp
Step-by-step explanation: