1.89207115 is a decimal number that cannot be expressed in fractions or integers. If you wish to round it to a specific number of decimal places, you can. For example, rounding to two decimal places yields 1.89.
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument \("2x + 3 = 9"\) asserts that the phrase\("2x + 3"\) equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation \("x^2 + 2x - 3 = 0.\)" Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.
1.89207115 is a decimal number that cannot be expressed in fractions or integers. If you wish to round it to a specific number of decimal places, you can. For example, rounding to two decimal places yields 1.89.
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If the number of tomato growers in the market increases, the supply:
A) of tomatoes increases.
B) of tomatoes decreases.
C) tomatoes remains constant.
D) curve for tomatoes shifts to the left.
If the number of tomato growers in the market increases, it would generally lead to an increase in the supply of tomatoes increases.
The correct answer is A.
This is because an increase in the number of growers means that there are more producers entering the market, resulting in a greater quantity of tomatoes available for sale. As a result, the overall supply of tomatoes would increase.In terms of the supply curve, an increase in the number of growers would cause the supply curve for tomatoes to shift to the right. This signifies that at any given price, there would be a larger quantity of tomatoes supplied in the market. Consequently, consumers would have access to a greater supply of tomatoes, potentially leading to lower prices due to the increased competition among the growers. Thus, supply of tomatoes increases accurately reflects the likely outcome when the number of tomato growers increases.The correct answer is A.
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Prime factorization of 52 using ladder diagram
Answer:
2, 13, 52,, 4
Step-by-step explanation:
Can you explain how you go it too
Answer: i think the answer is A
hope it helped don't forget to drop a heart
Step-by-step explanation:
ffind the derivative of the function f(x)=(2x+5)/(x-1)
The derivative of the function f(x)=(2x+5)/(x-1) is found to be (7)/(x-1)^2.
The function f(x)=(2x+5)/(x-1), we will use the quotient rule of differentiation.
The quotient rule states that the derivative of a function h(x) = f(x)/g(x) is given by [g(x)f'(x) - f(x)g'(x)]/[g(x)]^2.
Applying this formula to our function, we get:
f'(x) = [(x-1)(2) - (2x+5)(1)]/(x-1)^2
Simplifying the above expression, we get:
f'(x) = (2-2x-5)/(x-1)^2
Further simplifying, we get:
f'(x) = (-3-2x)/(x-1)^2
Therefore, the derivative of the function f(x)=(2x+5)/(x-1) is (7)/(x-1)^2.
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ms tabanelli deposits $20,000 in an account that has a 5% annual interest rate compound yearly. If she does not add to or withdraw from the account for 2 years, how much interest will she have earned for the 2-year period?
$2050
Step-by-step explanation:$20000×1.05×1.05 =
= $20000×1.05²
= $20000×1.1025
= $22050
$22050 - $20000 = $2050
The interest earned for a 2-year period is $2050
What is compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given that, Ms Tabanelli deposits $20,000 in an account that has a 5% annual interest rate compound yearly, she does not add to or withdraw from the account for 2 years,
We know that,
\(A = P(1+r)^t\)
A = amount
P = principal
r = rate
t = time
Putting all the values in the formula,
A = 20000(1+0.05)²
A = 20000(1.05)²
A = 20000×1.1025
A = 22050
Interest earned = Amount - Principal
= 22050 - 20000
= 2050
Hence, the interest earned for a 2-year period is $2050
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Solve 7!
(Need help with this in Math!)
What is the result when 4x^2 + 7x - 5 is subtracted from 9x^2 - 2x + 3
Answer: \(-5x^{2} +9x-8\)
Step-by-step explanation:
\((4x^2 + 7x - 5) - (9x^2 - 2x + 3)\)
Remove the parentheses for addition or subtraction:\(4x^2 + 7x - 5 - 9x^2 - 2x + 3\)Reorder and gather like terms: \((4x^2-9x^2)+(7x+2x)+(-5-3)\)Collect coefficients of like terms: \((4-9)x^{2} +(7x+2x)+(-5-3)\)Collect coefficients of like terms: \((4-9)x^{2} +(7+2)x+(-5-3)\)Calculate the sum of difference: \(-5x^{2} +(7+2)x+(-5-3)\)Calculate the sum of difference: \(-5x^{2} +9x+(-5-3)\)Calculate the sum of difference: \(-5x^{2} +9x-8\)The result is 5x² - 12x + 8 when 4x² + 7x - 5 is subtracted from 9x² - 2x + 3.
What is a polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
\(\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n\)
It is given that:
The polynomial is:
4x² + 7x - 5 and 9x² - 2x + 3
= (9x² - 2x + 3) - (4x² + 7x - 5)
Using distributive property:
= 9x² - 2x + 3 - 4x² - 7x + 5
Adding like terms:
= 5x² - 12x + 8
Thus, the result is 5x² - 12x + 8 when 4x² + 7x - 5 is subtracted from 9x² - 2x + 3 after using the distributive property.
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Can you answer number 29 please?
Answer:
a. 90
b. 40
c. 55
d. 6
e. 72
Step-by-step explanation:
a: This is a rectangle so all the full corners are 90 degrees. ABC is a corner angle.
b: 1 and 3 are the congruent angles so 3 has the same measure as 1.
C: 1 is a part of the corner, which adds up to 90 degrees. That means angle 2 and angle 1 should add up to 90. They say m<1= 35, so 90-35=55.
d. In a rectangle, the interesecting lines have the same length. AC is 12, so then DB is 12. However, DE is halfway. Half of 12=6.
e. This one has a few steps. Angle 1 is 36, and angle 2 is the other part to the 90 degree corner. 90-36= 54. That gives us angle 2. We know all angles in a triangle add up to 180 degrees. The angle across from angle 2 in the same triangle is the same value, so that is also 54. To find angle 5, it must add up to 180 degrees. 54+54+x=180, in other words. 54+54=108. 180-108=72.
Sunny's garden has 9 tomato plants, 5 pepper plants, 3 squash plants, and 6 pumpkin plants.
For every 3 tomato plants in Sunny's garden, there is 1 _____ plant.
Choose 1 answer:
(Choice A)
Pepper
(Choice B)
Squash
(Choice C)
Pumpkin
Answer:
Step-by-step explanation:
There is 1 squash plant for every 3 tomato plants.
Step-by-step explanation:
Since we have given that
Number of tomato plants = 9
Number of pepper plants = 5
Number of squash plants = 3
Number of pumpkin plants = 6
So, For every 3 tomato plants in Sunny's garden, there will be 1 squash plants.
As the ratio of tomato plants to squash plants is
Hence, There is 1 squash plant for every 3 tomato plants.
Roberto slides a rectangular picture frame 5 feet to the right of its original position on the wall How many right angles does the picture frame have now?
Answer:
4
Step-by-step explanation:
Three less than two times a number is equal to 21 more than five times the number. What is the equation and the answer?
The equation is 2x - 3 = 5x + 21. Solving for "x" gives the solution of x = -8.The equation for this issue is as follows:
2x - 3 = 5x + 21
where "x" stands for the unidentified number.
We can separate the variable term on one side of the equation and the constant terms on the other side in order to solve for "x".
To begin, we can take away 2x from both sides to obtain:
-3 = 3x + 21
Then, we can take 21 away from both sides to get at:
-24 = 3x
Finally, multiplying both sides by 3 gives us:
x = -8
Consequently, x = -8 is the answer to the equation.
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The points in the table lie on a line. Find the slope of the line.
Answer:
\( - \frac{4}{5} \)
Step-by-step explanation:
Slope of line
\( = \frac{ - 6 - ( - 8)}{ - 5 - ( - 2.5)} \\ \\ = \frac{ - 6 + 8}{ - 5 + 2.5} \\ \\ = \frac{2}{ - 2.5} \\ \\ = - \frac{20}{25} \\ \\ = - \frac{4}{5} \)
a population of values has a normal distribution with and . find the probability that a single randomly selected value is between -0.2 and 32.7. round your answer to four decimal places. -0.2649 incorrect find the probability that a randomly selected sample of size has a mean between -0.2 and 32.7. round your answer to four decimal places.
The probability that a single randomly selected value is between -0.2 and 32.7 is 0.0039.
We have to find the required probability:
we have the normal distribution with u = 0.2 and 32.7
sample size = n = 108
the values have normal distribution,
let x be the values, so x follows normal distribution,
so x ~ n(u = 0.2, 32.7)
If x~ n then z = x-n ~(0,1)
let s = sample mean
a) to find the probability distribution of randomly selected value =
P (-0.2 < N (0,1) < 32.7)
when we solve for n, the probability that a single randomly selected value is between -0.2 and 32.7 is 0.0039.
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The radius of a circle is 3 meters. What is the circle's circumference?
r=3 m
Use 3.14 for .
What is the probability that one can call the flip of a coin correctly at least 6 out of 7 times assuming that the coin is fair
The probability of calling the flip of a fair coin correctly at least 6 out of 7 times is approximately 6.25%, or 0.0625.
To calculate this probability, we can use the binomial probability formula. Let's consider each flip of the coin as a Bernoulli trial with a success (correct call) probability of 0.5, since the coin is fair. We want to find the probability of getting 6 or 7 successes out of 7 trials.
Using the binomial probability formula:
P(X ≥ k) = 1 - P(X < k)
P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)
Calculating these probabilities using the binomial probability formula with n = 7 and p = 0.5, we find:
P(X < 6) = 0.0078 + 0.0547 + 0.1641 + 0.2734 + 0.2734 + 0.1641
P(X < 6) = 0.9375
Finally, we subtract this probability from 1 to find the probability of getting 6 or 7 successes:
P(X ≥ 6) = 1 - P(X < 6)
P(X ≥ 6) = 1 - 0.9375
P(X ≥ 6) = 0.0625
Therefore, the probability of calling the flip of a fair coin correctly at least 6 out of 7 times is 0.0625 or approximately 6.25%.
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How many variables must a study have in order to learn something about how those variables are related?
O 1
O 3
O 2
O 4
Answer:
2
Step-by-step explanation:
i say 2 because you need a controlled variable and then the one subject to change (sorry if not)
you are ordering a fruit smoothie. You have your choice of small,medium, or large smoothie, and you can include one of the following fruits:strawberries,bananas,or oranges. How many different choices of smoothies do you have?
Answer:
9
Step-by-step explanation:
3 sizes x 3 flavers = 9 choses
You have 9 different choices of smoothies.
We have,
To determine the number of different choices of smoothies, we need to multiply the number of choices for the size of the smoothie by the number of choices for the fruit.
Size of the smoothie: There are 3 options (small, medium, large).
Fruit choice: There are 3 options (strawberries, bananas, oranges).
To calculate the total number of choices, we multiply the number of options for each category:
Total choices = Number of size options * Number of fruit options
= 3 * 3
= 9
Therefore,
You have 9 different choices of smoothies.
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Which of the following examples would constitute a discrete random variable?
I. Total number of points scored in a football game
II. Height of the ocean's tide at a given location
III. Number of near collisions of aircraft in a year
The examples that would constitute a discrete random variable are;
I. Total number of points scored in a football game
III. Number of near collisions of aircraft in a year
What is discrete random variable?A discrete random variable has only a countable number of different values that it can assume. Usually, but not always, discrete random variables are counts. A random variable is discrete if it can only take a finite number of different values. A variable whose value is determined by counting is referred to as a discrete variable.
A continuous variable is one whose value may be determined through measurement. A random variable is a variable whose value is the resultant number of an unpredictable event.
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move the different parts of the expression into their corresponding boxes
Given
\(-3x+25y+12\)To find:
The incorrect part.
Explanation:
It is given that,
\(-3x+25y+12\)That implies,
Here, the constant is 12.
And, 25y is a term which has the variable y whose coefficent is 25.
Hence, option C) is the incorrect part.
The 2nd term of an arithmetic progression is (1/2) and the sum of the first 14th terms is -70. Find
(a) the common difference
(b) the last term.
Answer:
The common difference is -1.
The last term (the 14th term) is -11.5.
Step-by-step explanation:
In an arithmetic sequence, the second term is 0.5 and the sum of the first 14 terms is -70.
We want to determine the: (a) common difference and (b) the last term.
We can write an explicit formula to represent the sequence. An arithmetic sequence can be modeled by the formula:
\(\displaystyle x_n=a+d(n-1)\)
Where a is the initial term, d is the common difference, and n represents the nth term.
Since the second term is 0.5:
\(x_2=0.5=a+d(2-1)\)
Simplify:
\(x_2=0.5=a+d\)
The sum of an arithmetic sequence is given by the formula:
\(\displaystyle S=\frac{k}{2}\left(a+x_k\right)\)
Where k is the number of terms and x_k is the last term.
Since the sum of the first 14 terms is -70, S = -70 and k = 14:
Using our explicit formula, the last term is:
\(x_{14}=a+d(14-1)=a+13d\)
Substitute:
\(\displaystyle -70=\frac{14}{2}(a+(a+13d))\)
Simplifiy:
\(-10=2a+13d\)
Rewrite the equation for the second term:
\(a=0.5-d\)
Substitute:
\(-10=2(0.5-d)+13d\)
Simplify:
\(-10=1-2d+13d\)
Solve for d:
\(d=-1\)
Hence, our common difference is -1.
Solve for a, the initial term:
\(a=0.5-(-1)=1.5\)
So, our explicit formula is now:
\(x_n=1.5-1(n-1)=1.5-n+1=2.5-n\)
So, the last term (which is 14) is:
\(x_{14}=2.5-(14)=-11.5\)
Layla walked a total of 12 kilometers by making 4 trips to school. After 5 trips to school, how many kilometers will Layla have walked in total? Assume the relationship is directly proportional.
Answer:
\(=15km\)
Explanation:
\(12\) \(km\) ÷ \(4\)
\(=3\) \(km\) per trip to school
Now that we know that Layla walks 3 km to walk to school, we multiply that by 10
\(3\) \(km\) × \(5\) \(trips\)
\(=15\) \(km\)
∴ Layla walked 15 km in total
What is the probability of throwing 2 dice and getting the sum of 12?
Answer:
1/36
Step-by-step explanation:
P(6,6) = 1/6 x 1/6 = 1/36
Add the following lengths:
2'5"
+ 4'8"
------------
plsss i'm doing a test i'l give brainliest lolol okay bye ty if u answer ok bye
Answer:
7'1"
Step-by-step explanation:
6 feet and 13 inches... you take 12 and make another foot and leave the one inch
Let’s dance portfolio answers? precal
A dance portfolio for precaliberence in dance should feature a comprehensive resume, videos of performances, photographs, and any relevant awards or certifications. This combination of elements provides a well-rounded representation of a dancer's skills, accomplishments, and potential.
A dance portfolio is a collection of works that showcases an individual's skills, creativity, and versatility in the field of dance. It is a comprehensive representation of their training, experiences, and accomplishments. As a dancer, my portfolio would include various elements that highlight my precaliberence in dance.
Firstly, I would include a detailed resume outlining my dance education, including the styles I have studied, the instructors I have trained under, and any notable performances or competitions I have participated in. This provides a snapshot of my training and experience.
Next, I would include a compilation of videos showcasing my dance performances. These videos would demonstrate my technical proficiency, artistry, and ability to interpret different styles of dance. They may include solo performances, duets, or group routines, allowing the viewer to witness my versatility and adaptability as a dancer.
Additionally, I would include high-quality photographs capturing dynamic moments from my performances. These images would convey the emotions and expressions that I bring to my dance, as well as demonstrate my stage presence and physicality.
Lastly, I would incorporate any awards, scholarships, or certifications I have received throughout my dance journey. These achievements serve as evidence of my dedication, commitment, and recognition within the dance community.
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Find the area of hexagon DEFGHI.
Step-by-step explanation:
Break it up into two trapezoids as shown
area = trap1 + trap2
= 2 * (7+3) / 2 + 3 * ( 7 + 3) / 2 = 10 + 15 = 25 units^2
Why is having a long credit history with a few blemishes that were corrected better than a short history that is clear?
Answer:
A long history with corrected blemishes exhibits that though mistakes were made, they were corrected which allows for those viewing your credit history to know that you've learned to fix mistakes making you trustworthy and experienced.
Step-by-step explanation:
edge 2022
4. What is the factored form of the expression 49x2 + 20?
A (7x + 215)(7x - 2/5)
B (7x + 2iV5) (7x - 2i75)
C (7xi + 275) (7xi - 215)
D (7xi +2175) (7xi - 2175
The factored form of the expression would be; (7x + 2√5) (7x - 2√5)
What are equivalent expressions?Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.
We need to factor the expression form 49x² + 20
Therefore, 49 is a perfect square,
This expression could also be given as;
(7x)²- (2√5)²
Now, we know that:
a²- b² = (a + b) (a - b)
Now plug the values then we have:
(7x)²- (2√5)² = (7x + 2√5) (7x - 2√5)
Hence, the factored form of the expression would be; (7x + 2√5) (7x - 2√5)
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The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The expression is given below.
⇒ 49x² + 20
The expression can be written as,
⇒ 49x² - 20i²
Simplify the expression, then we have
⇒ 49x² - 20i²
⇒ (7x)² - (2i√5)²
⇒ (7x - 2i√5)(7x + 2i√5)
The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.
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A forensic scienetist uses the function G(f)=2. 57f+47. 29 and H9t)=2. 74t+61. 27 to find the height of the woman
The height of the woman is found to be 79.92 by the forensic scientist.
To find the height of the woman, the forensic scientist needs to first identify the independent variable (the variable that is changing) in the equation. In this case, it is the variable 'f' for G(f) and 't' for H(t). The scientist then needs to substitute the value of the independent variable into the equation. For example, if the scientist knows the value of 'f' is 5, they would substitute it into the equation G(f) to get G(5)=2.57*5+47.29 = 79.79.
Finally, the scientist can use the two equations G(f) and H(t) to solve for the height. To do this, the scientist needs to set the two equations equal to each other and solve for the height. This is done by setting G(f) = H(t) and solving for 'h'.
G(f)=2.57f+47.29 = H(t)=2.74t+61.27
2.57f+47.29 = 2.74t+61.27
2.57f - 2.74t = 61.27 - 47.29
f = (61.27 - 47.29)/2.57
f = 7.49
Therefore, the height of the woman is h = G(7.49) = 2.57*7.49+47.29 = 79.92.
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f(x) = 3x + 4 + 2 g(x) = 4 Find (f + g)(x). A. (f +g)(x) = 3x +4 +6 B. (f +g)(x) = 3x + 10 c. (f +g)(x) = 3x + 6 + 4 O D. (f +g)(x) = 3x + 10
Answer:
(f+g) (x)= -5x-4= (-3x-2)
or, -5x + 3x= -4+2
or, -2x= -2
or,x= 2/2
:. x= 1
Step-by-step explanation:
What is the slope of the line?
A: 2/5
B: -2/5
C: 1/3
D: 5/2