Answer:
6. ○ [tex]\displaystyle 33,1°; 123,1°[/tex]
5. [tex]\displaystyle See\:above\:image[/tex]
4. [tex]\displaystyle See\:above\:image[/tex]
Explanation:
6. Supplementary Angles sum up to 180°, whereas complementary angles sum up 90°. So, use subtraction for both types of angles:
[tex]\displaystyle 123,1° = -56,9° + 180° \\ 33,1° = -56,9° + 90°[/tex]
* Make sure that they are in the exact same order that exercise gives you.
5. Acute Angles measure greater than 0° and less than 90°.
4. Every segment must have C in it, and you must be EXTREMELY CAREFUL of their markings [ray, segment, and line].
I am joyous to assist you anytime.
what two expressions are equivalent to 3/5 x - 3
a. 3/5 ( x - 1)
b. 3/5 (x - 5)
c. 3(1/5 x - 1)
d. 3 - 3/5 x
Answer:
B&C are the answers.
Assuming a person from this survey is selected at random, what is the probability that a person perfers rap music given that the person is female?
Answer:
The probabiliy of selecting a person who prefeers rap if the person is female an be calculated as the proportion of women who prefeer rap music: 23.6%.
Step-by-step explanation:
The total amount of persons in the survey is 200: women in the sample equal to 106 ( 54 of them preferred techno music, 45 of them prefeer rap and 27 of them prefeer country music), while there are 94 men in the sample (36 of them preferred techno music, 40 of them prefeer rap and 18 of them prefeer country music).The probabiliy of selecting a person who prefeers rap if the person is female can be calculated as the proportion of women who prefeer rap music: [tex]\frac{25}{106}=23.6\%[/tex]. Knowing that the person is a female gives you information, you are no longer looking at the 200 person survey, you are interest in a part of it: the women participants. Then, conditional on knowing that the person is a women (then, we are looking at the 106 cases in which the persons of the survey are women), we now find the probability of finding women who prefeer rap music: 25 between 106 cases, which is [tex]23.6\%[/tex] .Solve for x: 2x ^ 3 - x ^ 2 + 18x - 9 = 0
Answer:
see explanation
Step-by-step explanation:
Given
2x³ - x² + 18x - 9 = 0 ( factor the first/second and third/fourth terms )
x²(2x - 1) + 9(2x - 1) = 0 ← factor out (2x - 1) from each term
(2x - 1)(x² + 9) = 0
Equate each factor to zero and solve for x
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
x² + 9 = 0 ⇒ x² = - 9 ⇒ x = ± 3i
The equation has 1 real solution and 2 complex solutions
x = [tex]\frac{1}{2}[/tex] ← real solution
x = ± 3i ← complex solutions
If $7 - 4x = 15$, what is the value of $8x + 2$?
Answer:
need options?
Step-by-step explanation:
Answer:
Step-by-step explanation:
$7 - 4x = $15
-4x = $15 - $7
-4x = $8
x = $8/-4
x = $-2
So,
$8x + $2
= $8(-2) + $2
= $-16 + $2
= $ -14
3^3+7(2x+-6) when x=4
Hey there!
3^3 + 7 ( 2(4)
3^3 = 3 × 3 × 3 = 9 × 3 = 27
27 + 7 (2(4) - 6)
2 × 4 = 8
27 + 7 × 8 - 6
8 - 6 = 2
27 + 7 × 2
7 × 2 = 14
27 + 14 = 41
Answer: 41
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer: 2x= 8, so this would mean it would be:
3^3+7x2
3+7x2
10x2
20
Step-by-step explanation: answer is 20, i think.
Use the properties of operations to determine if each pair of expressions is equivalent for 1/2(4 - 2x); 2 - 2x
Answer:
They are not equivalent
Step-by-step explanation:
We want to determine if 1/2(4 - 2x); 2 - 2x are equivalent.
Let us take the first expression and simplify to see if we can get the second expression.
[tex] \frac{1}{2}(4 - 2x)[/tex]
Let us expand using the distributive property to get:
[tex] \frac{1}{2} (4 - 2x) = \frac{1}{2} \times 4 - \frac{1}{2} \times 2x[/tex]
This simplifies to:
[tex]\frac{1}{2} (4 - 2x) = 2 - x[/tex]
Therefore 1/2(4 - 2x); and 2 - 2x are not equivalent
Calculate the slope between the following points (1,6) (3,-7)
Answer:
-13/2
Step-by-step explanation:
slope is calculated as (y2-y1)/(x2-x1)
(x1, x2) is (1,6) and (y1,y2) is (3,-7)
doing (y2-y1)/(x2-x1) gives us ((-7)-6)/(3-1)
= -13/2
The slope between the points (1,6) and (3,-7) is calculated as -6.5 using the slope formula.
Explanation:The slope between two points (1,6) and (3,-7) can be calculated using the slope formula: m = (y2 - y1) / (x2 - x1),
where (x1, y1) and (x2, y2) are the coordinates of the points.
In this case, substituting the values in, we get:
m = (-7 - 6) / (3 - 1) = -13 / 2 = -6.5.
Thus, the slope between the points (1,6) and (3,-7) is -6.5.
How does using models to find 2.4 - 1.07 is similar to using models to find 240 - 107.
Answer:
Basically, because when you want to find the difference between 2.4 and 1.7 using models, you take away the same amount of squares as if you were finding the difference between 240 and 170 using models.
Morgan wrote the number 54,123. Then she wrote another number in which the 2 digit has 10 times the value it has in 54,123
if carlos did some work and got 3x + 2x - 6 = 24 what mistake did he make
Carlos made the mistake that he did not combine like terms (3 x and 2 x) properly and did not use addition property of equality.
Step-by-step explanation:
Carlos did the work as 3 x + 2 x - 6 = 24
We need to find his mistake that he made in above given.
Here, he did not add the like terms (3 x and 2 x)
3 x + 2 x = 5 x
Therefore, his work should be
5 x - 6 = 24
Also, he did not use addition property of equality. It means the equation remains same even though the same number gets added on both sides. It would be
5 x - 6 = 24
+ 6 = + 6
-----------------------
5 x = 30
Dividing 30 by 5, we get answer as '6'. Hence,
[tex]x=\frac{30}{5}[/tex] = 6
So, stated the above two are the mistakes found in carlos work.
The height of a building on a 1/4 inch: 1 foot scale drawing is five inches tall. How tall is the actual building?
Answer:
The height of the building is [tex]1\frac{1}{4}\ feet.[/tex]
Step-by-step explanation:
Given:
Scale drawing is 1/4 inch: 1 foot.
The height of the building in drawing is 5 inches.
Now, to find the actual height of the building.
Let the actual height be [tex]x.[/tex]
The height of the building in drawing = [tex]5\ inches.[/tex]
The ratio of the scale drawing is [tex]\frac{1}{4}\ inch:1\ foot.[/tex]
So, [tex]\frac{1}{4}\ inch[/tex] is equivalent is 1 foot.
Thus, 5 inches is equivalent to [tex]x.[/tex]
Now, to get the actual height of the building by using cross multiplication method:
[tex]\frac{\frac{1}{4}}{1} =\frac{5}{x}[/tex]
[tex]\frac{4}{1} =\frac{5}{x}[/tex]
By cross multiplying we get:
[tex]4x=5[/tex]
Dividing both sides by 4 we get:
[tex]x=\frac{5}{4}[/tex]
[tex]x=1\frac{1}{4}[/tex]
Therefore, the height of the building is [tex]1\frac{1}{4}\ feet.[/tex]
I need help please and thank
1 2/5+1 1/3= find sum or difference
Answer:the answer is 2 between 5
Step-by-step explanation:
22. model each situation below with an equation. select the correct equation for each situation. then solve each problem. A company employs 72 workers. it plans to increase the number of employees by 6 per month until it has twice its current workforce. how many months will it take to double the number of employees?
Answer:
12 months
Step-by-step explanation:
A company employs 72 workers. It plans to increase the number of employees by 6 per month.
Let x = number of months when the company increases the number of workers. Then in x months, the number of workers increases by 6x and the total number of workers will be (72+6x).
They plan to increase the number of workers until it has twice its current workforce. So
[tex]72+6x=2\cdot 72[/tex]
Solve this equation:
[tex]72+6x=144\\ \\6x=144-72\\ \\6x=72\\ \\x=12[/tex]
Which of the following ordered pairs represents a solution to the linear inequality y<6x-4? A. (0,3) B.(0,11) C. (0,-5) D.(0,4)
Answer:
Option C. (0,-5)
Step-by-step explanation:
See the attached figure.
As shown the shaded area represents the solution of the given inequality:
y < 6x - 4
The given options are the points:
A. (0,3) B.(0,11) C. (0,-5) D.(0,4)
Comparing the given points to the graph.
So, the point that will lie at the shaded area represent solution to the linear inequality.
So, point (0,-5) is a solution to the linear inequality.
The answer is option C. (0,-5)
Note: the line y = 6x-4 is graphed using the table on the graph.
What the answer to a-a=-5
Show an example of how you can put two triangles together to make a quadrilateral
Answer:
876997# nebulated ny 653 answere is simple 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(x) = x² + 1
What is f(/(x))?
Answer:
the answer is the second one
A=16π in.^2 find area answer in terms of pi
50.27 in²
Step-by-step explanation:
The area is given as;
A= 16π in²
The symbol π is the pie
The value of π=3.14159265359
Finding the area in terms of pi could mean replacing π with the actual value as;
A=16×3.14159265359 = 50.27 in² (answer in 2 decimal places)
Learn More
To calculate area using pi: https://brainly.com/question/12410601
Keywords: pi, area,
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jason went to the post office and bought both 41 cent stamps and 26 cent postcards and spent $20.28. The number of stamps was 4 more than twice the number of post cards. How many of each did he buy?
Jason bought 38 stamps and 17 postcards
Solution:
Let "a" be the number of stamps bought
Let "b" be the number of postcards bought
The number of stamps was 4 more than twice the number of post cards
Therefore,
Number of stamps bought = 4 + 2(number of post cards)
a = 4 + 2b ------- eqn 1
Jason bought both 41 cent stamps and 26 cent postcards and spent $20.28
1 dollar is equal to 100 cents
Thus, $ 20.28 is equal to 2028 cents
Therefore, we frame a equation as:
[tex]41 \times a + 26 \times b = 2028[/tex]
41a + 26b = 2028 ----------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 1
41(4 + 2b) + 26b = 2028
164 + 82b + 26b = 2028
164 + 108b = 2028
108b = 1864
[tex]b = 17.25 \approx 17[/tex]
Substitute b = 17 in eqn 1
a = 4 + 2(17)
a = 4 + 34
a = 38
Thus Jason bought 38 stamps and 17 postcards
What is 4 and 16/25 simplified
Answer:
4.64
Step-by-step explanation:
To simplify mixed numbers you can write them either as a fraction or as a decimal number.
Fraction:
first we need to express both parts of mixed number through the same denominator - 1 has 25/25, so that means 4 has 100/25.
Now we can write that as 100/25 and 16/25, which is (100+16)/25 = 116/25
Decimal number:
This time, we convert this fraction part of a number to decimal. Simply dividing, we get that 16/25 equals 0.64. So 4 and 0.64 is 4.64.
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The correct answer is E. Both functions are linear, only crossing the x-axis once and the y-axis once.
We can see from the graph that both Function A and Function B are straight lines. This means they are linear functions.
Linear functions also have only one x-intercept and one y-intercept. The x-intercept is the point where the line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
The y-intercept for both Function A and Function B is at (0,0). The x-intercept for Function A is at (-2,0) and the x-intercept for Function B is at (1,0).
Therefore, both statements in choice E are true.
The other statements in the question are not true.
Choice A, Both functions have negative rates of change, is not true. Function A has a negative rate of change, but Function B has a positive rate of change.
Choice B, Both functions have the same rate of change, is not true, as discussed above.
Choice C, When graphed, Function A and Function B are parallel, is not true. Parallel lines would never intersect, but the two functions intersect at the origin.
Choice D, Function A has a greater rate of change than Function B, is not true. The slope of Function B is steeper than the slope of Function A, so Function B has a greater rate of change.
Jason has a bag of tiles with the letters from the word IMPOSSIBLE. He pulls a random tile out of the bag. Which outcomes are more likely than not?
Involves calculating probabilities of drawing marbles from a bag. Simply put, probability is the likelihood that something will occur. When we're not sure how something will turn out, we can discuss the likelihood of different outcomes, or their probabilities. Statistics is the study of events that follow a probability distribution. This problem requires the usage of probability.
The outcomes more likely than not when drawing two marbles from the bag without replacement:
Pulling a yellow marble then a green marble (Probability calculation: (2/9) * (4/8) = 1/9)
Pulling a green marble then a yellow marble (Probability calculation: (4/9) * (2/8) = 1/9)
There are 9 tiles in total. With 'P' appearing twice, the chance of drawing 'P' (2/9) is more than 50%, making it more likely than not.
let's break it down step by step.
First, let's find out how many tiles there are for each letter:
- I: 1
- M: 1
- P: 2
- O: 1
- S: 1
- B: 1
- L: 1
- E: 1
Total number of tiles = 1 (I) + 1 (M) + 2 (P) + 1 (O) + 1 (S) + 1 (B) + 1 (L) + 1 (E) = 9 tiles
Now, let's find out the probability of each letter being drawn:
- Probability of drawing I: 1/9
- Probability of drawing M: 1/9
- Probability of drawing P: 2/9
- Probability of drawing O: 1/9
- Probability of drawing S: 1/9
- Probability of drawing B: 1/9
- Probability of drawing L: 1/9
- Probability of drawing E: 1/9
Now, let's calculate the probability of drawing a letter that appears more than once.
In this case, the letter 'P' appears twice. So, the probability of drawing a 'P' is 2/9.
Now, let's determine which outcomes are more likely than not.
The probability of an event being more likely than not is greater than 50%.
From our calculations, the probability of drawing 'P' (2/9) is greater than 50%, making it more likely than not to draw 'P'.
Thus, the outcome of drawing 'P' is more likely than not.
what is the correct answer?
Answer:
C, 48
Step-by-step explanation:
all you have to do is divide 60 by 5 to get 12.
Then you have to times 12 with the 4 to get 48 which is C.
What is 6x-6y=-24
Y=3x+14
Answer:
x=-5, y=-1. (-5, -1).
Step-by-step explanation:
6x-6y=-24
y=3x+14
---------------
6x-6(3x+14)=-24
6x-18x-84=-24
-12x-84=-24
-12x=-24+84
-12x=60
x=60/-12
x=-5
y=3(-5)+14=-15+14=-1
Credit card A has an APR of 27.2% and an annual fee of $96, while credit card
B has an APR of 30.3% and no annual fee. All else being equal which of these
equations can be used to solve for the principal Pfor which the cards offer
the same deal over the course of a year? (Assume all interest is compounded
monthly)
Answer:
d
Step-by-step explanation:
The correct Equation is P x (1 + 0.272/12)¹² + 96 = P x (1 + 0.303/12)¹².
What is Annual Percentage Rate?APR is the price of using a credit card to borrow money. It is the annual interest rate that you will be charged if you carry a balance, and it frequently varies between credit cards.
For example, you may have one card with an APR of 9.99% and another with an APR of 14.99%.
Given:
Payments are done per month.
So, need to be converted to monthly figures.
APR per month = 27.2% /12
As, 1 year= 12
= P x (1 + 0.272/12)¹² + 96
Credit Card B deal over a year
= P x (1 + 0.303/12)¹²
Thus, the Principal for both cards to offer the same deal will be
P x (1 + 0.272/12)¹² + 96 = P x (1 + 0.303/12)¹²
Learn more about APR here:
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2. Find f(-1).
f(x) = x2-4x+2
X+7
Round your answer to the nearest hundredth.
Step-by-step explanation:
[tex]f(x)=\dfrac{x^2-4x+2}{x+7}\\\\f(-1)=\text{put}\ x=-1\ \text{to}\ f(x):\\\\f(-1)=\dfrac{(-1)^2-4(-1)+2}{-1+7}=\dfrac{1+4+2}{6}=\dfrac{7}{6}[/tex]
Write one number that is a factor 13.
Answer:
1
Step-by-step explanation:
This is because 13 is a primary number
Final answer:
The number 1 is a factor of 13, which is a prime number with only two factors: 1 and 13 itself.
Explanation:
One number that is a factor of 13 is 1. This is because the factors of a number are integers that can be multiplied together to produce the original number. Since 13 is a prime number, its only factors are 1 and itself, 13. Factors are integers that multiply together to result in the original number. In the case of 13, the only combinations that yield 13 are 1 × 13 and 13 × 1. Since prime numbers have no other divisors besides 1 and the number itself, there are no additional factors for 13. This characteristic distinguishes prime numbers from composite numbers, emphasizing their unique role in number theory and their indivisibility by integers other than 1 and the number itself.
write an expression in simplest form that represents the total amount in each situation: Today is your friends birthday. she is y years old. her brother is 5 years younger.
Answer:
2y-5
Step-by-step explanation:
friend: y
Brother: y-5
y+y-5
aka
2y-5