Answer:
they got -21 when they were supposted to get +21
and they also got +6x when they were supposted to get -6x
Step-by-step explanation:
that's because -3 and 2x are multiplied together and when you are multiplying negative and positive number you need to get negative result.
when you are multiplying negative with negative number, you will get positive number.
Suppose that a country's population is 20 million and it has a labor force of 10 million people. If 8 million people are employed, the country's unemployment rate is a. 20% b. 13.3% c. 10%. d. 6.7%. e. 14.5%
The country's unemployment rate is 10 percent. Therefore, option C is the correct answer.
Given that, a country's population is 20 million and it has a labor force of 10 million people.
8 million people are employed
So, the number unemployed people = 10 million - 8 million
= 2 million
So, the country's unemployment rate = 2/20 ×100
= 10 %
Therefore, option C is the correct answer.
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What is 5 33/100 simplifed?
Answer:
it is simplified but you can turn it into a decimal 5.33
On another planet, the isotopes of titanium have the given natural abundances. What is the average atomic mass of titanium on that planet? average atomic. mass \( = \)
Using the given natural abundances of titanium-46, titanium-47, and titanium-48, we find that the average atomic mass of titanium on this planet is approximately 46.4 amu.
To calculate the average atomic mass of titanium on another planet, we need to consider the natural abundances of its isotopes. The average atomic mass is calculated by multiplying the mass of each isotope by its relative abundance and summing up these values.
Let's assume that the three isotopes of titanium on this planet are denoted as titanium-46, titanium-47, and titanium-48. The natural abundances of these isotopes are given as follows:
Isotope Natural Abundance
Titanium-46 70%
Titanium-47 20%
Titanium-48 10%
To calculate the average atomic mass, we multiply the mass of each isotope by its relative abundance and sum up these values. The atomic masses of titanium-46, titanium-47, and titanium-48 are approximately 46.0 amu, 47.0 amu, and 48.0 amu, respectively.
Average Atomic Mass of Titanium:
(46.0amu×70%)+(47.0amu×20%)+(48.0amu×10%)
=(32.2amu)+(9.4amu)+(4.8amu)
=46.4amu
Therefore, the average atomic mass of titanium on this planet is approximately 46.4 atomic mass units (amu).
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The isosceles triangle has two sides with the same length. The base is one-half the length of a side. The expression which represents the perimeter, the distance around the triangle, is s + s + one-half s. What is the value of this expression if s = 8?
A triangle with 2 sides with length s.
Answer:
20 units
Step-by-step explanation:
s = 8
Perimeter = s + s + \(\frac{1}{2}*s\)
\(= 8 + 8 + \frac{1}{2}*8\)
= 8 + 8 + 4
= 20 units
what two numbers multiplied together = -75but added = -10
Graph the linear system and tell how many solutions it has. If there is exactly one solution, estimate the solution and check it algebraically.
Answer:
There is exactly one solution: (3, 1)
Step-by-step explanation:
To graph these equations, you need to change them to slope intercept form:
x + y = 4 in slope intercept form is y = -x + 4 (subtract x frok both sides).
x - y = 2 in slope intercept form is y = x - 2 (subtract x from both sides then divide both sides by -1)*.
Now, all you have to do is graph both and find the point they cross at (the solution) which is (3, 1).
* = y can never be negative, which is why you divide by a -1 after subtracting x.
Hope this helps!
Question 7 options: A raffle sells 1000 tickets for $35 each to win a new car. What is the probability of winning the car
Answer:
it would be 1/1000 assuming only 1 ticket sold to 1 person each; if a person bought more than 1 ticket then there odds of winning increase
Step-by-step explanation:
The probability of winning the car is 0.001.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Given that, a raffle sells 1000 tickets for $35 each to win a new car.
Here, we know that there is a total of 1000 tickets. If there is only one car, then definitely only one wins the raffle. The probability of winning is also dependent on the number of tickets one will purchase. But for this problem, we are going to assume that only one raffle can be bought by one person. Thus, the probability of winning a new car is simply
P(E)= Number of raffle tickets one can buy/Total number of raffle tickets
= 1/1000
= 0.001
Therefore, the probability of winning the car is 0.001.
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Shirley buys 5 bottles of soda. She has a coupon for 0.55 dollars off the regular price of each bottle. After using the coupons, the total cost is 5.20 what is the regular price of the soda.
The regular price of the soda is $1.59
How to determine the regular price of the soda.From the question, we have the following parameters that can be used in our computation:
Number of bottles = 5
Total cost = 5.20
Coupon = 0.55
Using the above as a guide, we have the following:
Total cost = Number of bottles * (Regular price - Coupon)
Substitute the known values in the above equation, so, we have the following representation
5 * (Regular price - 0.55) = 5.20
So, we have
Regular price - 0.55 = 1.04
Add 0.55 to both sides
Regular price = 1.59
Hence, the regular price is 1.59
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AAAA IM SO CLOSE AND I HAVE TWO MORE IXL’s AHHHHHH
Anyways please help me
Answer:
20%
Step-by-step explanation:
I know you want a quick answer so here lol.
Answer:
The correct answer is 20%
Step-by-step explanation:
Hope this helped :)
Solve this problem, which steps would you take? Include any theorems, definitions, or reasons that explain the steps. Make sure you include all steps needed to solve for ∠A
Answer:
∠A=123°.
Step-by-step explanation:
From the given figure it is clear the CD and CE are two tangent lines on circle with center A.
Radius is perpendicular to the tangent at the point of tangency.
\(\angle ADC=90^{\circ}\)
\(\angle AEC=90^{\circ}\)
Smaller arc DE = (5x-2)°
It means central angle DAE is (5x-2)°.
\(\angle DAE=(5x-2)^{\circ}\)
Now, ADCE is a quadrilateral and sum of all angles of a quadrilateral is 360 degrees.
\(\angle ADC+\angle DCE+\angle AEC+\angle DAE=360^{\circ}\)
\(90^{\circ}+(2x+7)^{\circ}+90^{\circ}+(5x-2)^{\circ}=360^{\circ}\)
\((7x+5)^{\circ}+180^{\circ}=360^{\circ}\)
\((7x+5)^{\circ}=360^{\circ}-180^{\circ}\)
\((7x+5)^{\circ}=180^{\circ}\)
\(7x+5=180\)
\(7x=175\)
\(x=25\)
The value of x is 25.
\(\angle A=5x-2=5(25)-2=125-2=123^{\circ}\)
Therefore, the measure of ∠A is 123°.
74. The mean of 50 test scores was calculated as 88.
But, it turned out that one of the scores was
misread at 94 but it was 69. What is the mean?
85
87
87.5
88.5
The mean if the scores was misread at 94 but it was 69 is 87.5
How to find the mean of a number?Mean is also known as average. It is mathematically represented as:
Mean = Sum of data/Sample space
Given the following parameters
Mean = 88
Sample size = 50
Substitute
88 = Sum/50
Sum = 88(50)
Sum = 4400
If one of the scores was misread at 94 but it was 69, hence;
Sum + (94-69) = 4400
Sum + 25 = 4400
Sum = 4400 - 25
Sum = 4331
New mean = 4375/50
New mean = 87.5
Hence the mean if the scores was misread at 94 but it was 69 is 87.5
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is this table a function?
We have x = 81 repeat itself. Any time x repeats, it means we don't have a function.
Put another way, the input x = 81 leads to more than one y output. A function is only possible if any given input leads to exactly one output. The input must be in the domain.
b) Find the values of b.
b2 = 256
b =
Answer:
128
Step-by-step explanation:
2*b = 256
1*b = 256 / 2 = 128
The function f(x) = −x2 + 28x − 192 models the hourly profit, in dollars, a shop makes for selling sodas, where x is the number of sodas sold.
Determine the vertex, and explain what it means in the context of the problem.
(12, 16); The vertex represents the maximum profit.
(12, 16); The vertex represents the minimum profit.
(14, 4); The vertex represents the maximum profit.
(14, 4); The vertex represents the minimum profit.
The correct option is the third one; (14, 4); The vertex represents the maximum profit.
How to find the vertex of the quadratic?For a general quadratic equation
y = ax² + bx + c
The vertex is at the x-value:
x = -b/2a
Here the quadratic function is:
f(x)= -x² + 28x - 192
The vertex is at:
x = -28/2*-1 = 14
Evaluating in x= 14 we get:
f(14) = -14² + 28*14 - 192 = 4
So the vertex is at (14, 4), and because the leading coefficient is negative, this is the maximum profit.
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Aisha is picking out some movies to rent, and she is primarily interested in children's movies and comedies. She has narrowed down her selections to 15 children's movies and 11 comedies. How many different combinations of 33 movies can she rent if she wants at least one comedy?
To determine the different combinations of 33 movies that Aisha can rent if she wants at least one comedy, we can use the combination formula as follows: nCr = n! / r! (n - r)!
Where n is the total number of movies available, r is the number of movies Aisha wants to rent, and nCr represents the number of combinations.
To find the number of combinations when Aisha wants to rent at least one comedy, we can use the complement rule which states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring. In this case, the probability of Aisha not renting any comedy is equal to the number of combinations of 33 movies she can rent without a comedy divided by the total number of combinations possible. We can then subtract this probability from 1 to find the probability of Aisha renting at least one comedy.
Number of combinations of 33 movies without a comedy = nCr = 15C33 = 0 (since there are only 15 children's movies available and Aisha wants to rent 33 movies)
Total number of combinations possible = nCr = (15 + 11)C33 = 26C33
Using the complement rule,
Probability of Aisha not renting any comedy = 0 / 26C33 = 0
Probability of Aisha renting at least one comedy = 1 - 0 = 1
Therefore, Aisha can rent all the 33 movies since the probability of her not renting any comedy is zero. The number of different combinations of 33 movies she can rent is therefore equal to the total number of combinations possible, which is 26C33.
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what is the definition of vertical angles
Answer:
each of the pairs of opposite angles made by two intersecting lines.Step-by-step explanation:
Answer:
vertical angles
geometry the pair of equal angles between a pair of intersecting lines; opposite angles Also called: vertically opposite angles
Step-by-step explanation:
PLEASE HELP QUICKLY!!!!!!!
Penelope and Georgia are each saving money to take a vacation. Penelope started with $710 and saved $25 each week. Georgia opened her account with $570 and saved $45 each week. In how many weeks will they have the same amount of money? Group of answer choices 7 weeks 8 weeks 13 weeks 14 weeks
Answer:
8 weeks
Step-by-step explanation:
how many main effects and interactions are possible in a 4 x 4 x 4 design?
In a 4 x 4 x 4 design, there are three main effects, three 2-way interactions, and one 3-way interaction.
In a factorial design, the number of main effects and interactions can be determined by examining the number of factors and their levels. In a 4 x 4 x 4 design, there are three factors, each with four levels.
Main Effects:For each factor, there is one main effect. Since there are three factors in the design, there are three main effects.
Interactions:To determine the number of possible interactions, we consider the possible combinations of factors. In a 4 x 4 x 4 design, we can have 2-way interactions, 3-way interactions, and a 4-way interaction.
2-way interactions: There are three pairs of factors (A-B, A-C, B-C), resulting in three 2-way interactions.
3-way interactions: There is only one combination of three factors (A-B-C), resulting in one 3-way interaction.
4-way interaction: Since there are no additional factors beyond the three factors, there is no 4-way interaction.
Therefore, in a 4 x 4 x 4 design, there are three main effects, three 2-way interactions, and one 3-way interaction.
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A doctor observes a graph that shows the electrical activity (in volts) of the heart of a patient over a period of time (in seconds). Each spike corresponds to one heart beat. The doctor needs to calculate the heart rate of the patient in beats per minute.
What is the heart rate of this patient?
To calculate a patient's heart rate, the doctor must take into account a segment of time, such as a minute, and count the number of times the heart beats in that segment.
What is heart rate?Heart rate is a term that refers to the number of heart contractions or beats per unit of time.
Heart rate is usually measured at various points, but most commonly it is measured at the wrist, neck, or chest.
According to the above, the most common way for the doctor to establish the patient's heart rate is to count the heart beats in a segment of time such as one minute.
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60 beats per minute
I got it right on the Kahn Academy Unit Test, trust me <3
1/2x + 24 = 6X-6
Help me
Answer:
x=5.45
Step-by-step explanation:
Answer:
answer
Step-by-step explanation:
Exact form: 60/11
Decimal form: 5.45
Mixed form: 5 5/11
Hope it answers your question
You have just signed up for a broadband home internet service that uses coaxial cable. which connector type will you most likely use?
Answer:
F type connector
Step-by-step explanation:
Use an F-type connector for broadband cable connections that use coaxial cable.
The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,
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F type connector
The F-connector is a coaxial RF connector commonly used for "wireless" terrestrial television, cable television, and common for satellite television and cable modems, usually with RG-6/U cable or with RG -59 / U.F connector is also known as threaded connector. There are two main types: 7mm (6.8mm) is the most common and used in coaxial cable, and 5mm connector is used in thin coaxial cable commonly used in satellite system.
The F-connector is an accessory that connects a coaxial cable to an electronic device or wall outlet.
Type F connectors are highly mechanical and electrically stable coaxial screw connectors for cable television (CATV), set-top boxes, cable modems and satellite television applications up to 4 GHz
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A construction crew lifts approximately 680 lb. of material several times during a day from a flatbed truck to a 34 ft rooftop. A block and tackle system with 50 lb. of effort force is designed to lift the materials.
How many supporting strands will be needed in the pulley system?
To find the number of strands needed divide the total weight by the force.
680 / 50 = 13.6
Because the answer is not a whole number you would round up to the next whole number.
13.6 rounds up to 14
The number of strands needed would be 14.
We have two rational expressions: The first rational expression has (y² - 13y +36) in the numerator and (y² + 2y - 3) in the denominator. The second rational expression has (y²-y-12) in the numerator and(y²-2y+1) in the denominator .Simplify them
We are given two rational expressions: one with (y² - 13y + 36) in the numerator and (y² + 2y – 3) in the denominator, and the other with (y² - y – 12) in the numerator and (y² - 2y + 1) in the denominator. We need to simplify these rational expressions.
Simplifying the first rational expression:
The numerator of the first expression, y² - 13y + 36, can be factored as (y – 4)(y – 9).
The denominator, y² + 2y – 3, can be factored as (y + 3)(y – 1).
Therefore, the first rational expression simplifies to (y – 4)(y – 9) / (y + 3)(y – 1).
Simplifying the second rational expression:
The numerator of the second expression, y² - y – 12, can be factored as (y – 4)(y + 3).
The denominator, y² - 2y + 1, can be factored as (y – 1)(y – 1) or (y – 1)².
Therefore, the second rational expression simplifies to (y – 4)(y + 3) / (y – 1)².
By factoring the numerator and denominator of each rational expression, we obtain the simplified forms:
First rational expression: (y – 4)(y – 9) / (y + 3)(y – 1)
Second rational expression: (y – 4)(y + 3) / (y – 1)²
These simplified expressions are in their simplest form, with no common factors in the numerator and denominator that can be further canceled.
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What percent of $30 is $7.50?
Answer:
25%
Step-by-step explanation:
15 is 50% 7.5+7.5= 15=50% =25%+25%
Round 259.98991 to the nearest hundredth.
259.99
259.990
259.9899
260.00001
The complex number z = -1 -i is given.
a) Write down this number in the trigonometric form.
b) Calculate all the roots of √z and plot them all on the complex plane.
The trigonometric form of the complex number z = -1 - i is z = √2cis(3π/4) and the roots of √z are √2/2cis(3π/8) and √2/2cis(11π/8).
a) Trigonometric form of the complex number z = -1 - i is given by:
r = |z| = √(1²+1²) = √2θ = arctan(-1/-1) + π = 3π/4
Therefore, z = √2cis(3π/4)b)
Since, √z = (√2cis(3π/4))/2
= (√2/2)(cis(3π/4)/2), the roots of √z are given by:
√2/2cis(3π/4 + 2nπ)/2, where n = 0, 1.
Therefore, the roots are √2/2cis(3π/8) and √2/2cis(11π/8) and they are plotted as shown below:
In summary, the trigonometric form of the complex number z = -1 - i is z = √2cis(3π/4) and the roots of √z are √2/2cis(3π/8) and √2/2cis(11π/8).
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TIME REMAINING
57:18
A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0).
What is the equation of the directrix?
x=−4
y=−4
x=4
y=4
I NEED HELP WITH THIS QUICKLY- I’LL give BRAINLIEST for the right answer and an explanation
a pound of rice crackers cost 2.88 nathan purchased 1/3 pound of crackers how much did he pay for the crackers
Answer:
0.96
Step-by-step explanation:
Answer:
If you're asking how much it would cost then
Nathan purchased 1/3 pounds of crackers for 0.96$
Step-by-step explanation:
ms. smythe and her husband wanted to take the neighborhood children to see a play. there were 14 children and the cost of their tickets was $6 each. the adult tickets were three times that amount. how much did the smythe's spend? a. $36 b. $84 c. $120 d. $130
To calculate the total amount spent by the Smythes, we need to consider the cost of the children's tickets and the adult tickets the correct answer is c. $120.
Given that there are 14 children, each ticket costs $6. Therefore, the total cost of the children's tickets is 14 * $6 = $84.The cost of the adult tickets is three times the cost of a child's ticket. So each adult ticket costs $6 * 3 = $18.Assuming there are two adults (Ms. Smythe and her husband), the total cost of the adult tickets is 2 * $18 = $36.
To find the total amount spent, we add the cost of the children's tickets and the adult tickets: $84 + $36 = $120.Therefore, the Smythes spent a total of $120.In summary, the correct answer is c. $120.
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