7. Explain in your own words why √-4 is not possible.
Answers
Answer:
There is no real square root of -4 because it is impossible to square any real number and get a negative answer.
You might think -2 could work. However, a negative times a negative is positive → -2(-2) = +4, so the problem would have to be written as \(\sqrt4\) instead of \(\sqrt{-4}\). Hence, there is no real square root of -4.
Note the word real, as it is possible to find a non-real answer to \(\sqrt{-4}\) using the imaginary number \(i\), which represents \(\sqrt{-1}\).
Related Questions
A trapezium is shown below. Work out the sizes of angles x and y. Give your answers in degrees (°). 132 X Y 65
Answers
The sizes of angles x and y in the trapezium are:
x = 135°
y = 29°
How work out the sizes of angles x and y in the trapezium?A trapezium is a quadrilateral having two parallel sides and two non-parallel sides.
Since the sum of angle pairs between parallel line of the trapezium is 180°. Thus, we can say:
x + 45° = 180°
x = 180 - 45
x = 135°
Also:
y + 152° = 180°
y = 180 - 152
y = 29°
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Points D, C, B, and A are collinear.What is the slope of DC in simplest form?3BDSlope of DC = 0)=
Answers
To answer this question we will use the following formula for the slope of a line:
\(m=\frac{\text{rise}}{\text{run}}\text{.}\)Since A, B, C, and D are collinear then:
\(\text{slope of }\bar{\text{DC}}\text{=slope of }\bar{\text{AB}}\text{.}\)Now, from the given diagram, we get that, for AB:
\(\begin{gathered} \text{rise}=3, \\ \text{run}=4. \end{gathered}\)Therefore:
\(\text{slope of }\bar{\text{AB}}\text{=}\frac{3}{4}\text{.}\)Answer:
\(\frac{3}{4}\text{.}\)Two students want to determine whose paper airplane model can fly the farthest. To put their models to the test, they recruit five friends to participate in a study. Because the friends have varying throwing abilities, the students decide to have each friend throw each model of airplane. To determine which paper airplane each friend throws first, a coin is tossed. The data are displayed in the table, which shows how far each airplane flies to the nearest inch.
A 90% confidence interval for the mean difference (B - A) in flight distance is -11.08 to 91.08 inches. Based on the confidence interval, is it reasonable to claim that the model B plane flies farther than the model A plane?
Answers
Based on the given confidence interval alone, we cannot reasonably claim that model B plane flies farther than model A plane. The interval suggests that there is a range of possible differences, and the true difference could be positive, negative, or even zero.
Based on the given confidence interval for the mean difference in flight distance (B - A), which is -11.08 to 91.08 inches, we can analyze whether it is reasonable to claim that model B plane flies farther than model A plane.
Since the confidence interval includes both positive and negative values, it indicates that the true mean difference in flight distance could be anywhere within that range. In other words, there is uncertainty about the actual difference in flight distance between the two models.
To determine if it is reasonable to claim that model B plane flies farther than model A plane, we can examine if the interval contains only positive values. If the entire interval were above zero, it would strongly suggest that model B plane indeed flies farther. However, since the interval contains both negative and positive values, we cannot make a definitive conclusion.
Based on the given confidence interval alone, we cannot reasonably claim that model B plane flies farther than model A plane. The interval suggests that there is a range of possible differences, and the true difference could be positive, negative, or even zero. Further analysis or additional evidence would be needed to make a conclusive statement.
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7.5x + 3.3 = 31 equation
Answers
Answer:
3.69
Step-by-step explanation:
7.5x + 3.3 = 31
7.5x = 31 - 3.3
7.5x = 27.7
x = 27.7 : 7.5
x = 3.69
"Given a list of cities on a map and the distances between them, what does the ""traveling salesman problem"" attempt to determine? a) the shortest continuous route traveling through all cities b) the average distance between all combinations of cities c) the two cities that are farthest apart from one another d) the longitude and latitude of each of the cities"
Answers
The "traveling salesman problem" attempts to determine the shortest continuous route that allows a salesman to visit all the cities on a map and return to the starting city.
The goal is to find the optimal route that minimizes the total distance traveled. The problem is known to be NP-hard, meaning that finding the exact solution becomes increasingly difficult as the number of cities increases. Various algorithms and heuristics have been developed to approximate the optimal solution for large-scale instances of the problem.
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Please help me I’m stuck!!!
Answers
Answer:
The point (0, 6.7) is the point where the ball was launched.
Step-by-step explanation:
The ball was launched from a point 6.7 feet from ground level.
In this scenario (ball tossed toward the goal), the constant c at the end of the function formula gives you the initial position (height).
Please help? I don’t know maths!
Answers
The graph with the least standard deviation is the graph A.
Which graph has the least standard deviation?We define the standard deviation as a measure of the "average distance" between the data points and the mean of the data points.
Notice that in each of these graphs, the mean would be the value where the "peak" of the bell is.
So, as "narrower" is the bell, the least standard deviation that data set has.
Then the option with the least standard deviation must be A.
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the cost that varies depending on the values of the decision variables is a
Answers
A cost that varies depending on the values of decision variables is a variable cost. This type of cost changes in proportion to changes in the production or sales volume.
Variable costs are expenses that fluctuate with changes in the level of production or sales. These costs are directly tied to the quantity of goods or services produced or sold, and they increase or decrease as the production or sales volume changes. Common examples of variable costs include materials, labor, and direct expenses associated with producing a product or providing a service. As the production or sales volume increases, the variable cost per unit decreases, due to economies of scale. Conversely, as production or sales volume decreases, the variable cost per unit increases, due to diseconomies of scale. Understanding variable costs is essential for businesses to accurately calculate their costs of goods sold, determine their break-even point, and make informed decisions about pricing and production levels.
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A student has passed 60 percent of the 20 quizzes he has written so far successfully. If the student writes 50 quizzes during the year, and passes 80 percent of the remaining quizzes successfully, what would his average percentile be?
Answers
Answer:
A student has passed 60 percent of the 20 quizzes he has written so far successfully mean:
successfully quizzes = 60 % of 20 quizzes = ( 60 / 100 ) * 20 = 60 * 20 / 100 = 1200 / 100 = 12
The remaining quizzes = 50 - 20 = 30 quizzes
80 percent of the remaining quizzes successfully mean:
The remaining successfully quizzes = 80 % of 30 = ( 80 / 100 ) * 30 = 80 * 30 / 100 = 2400 / 100 = 24
Total successfully quizzes = 12 + 24 = 36
Average = ( 36 / 50 ) * 100 % = 0.72 * 100 % = 72 %
Pls rate Brainliest!
Answer:73%
Step-by-step explanation:A student has passed 60 percent of the 20 quizzes he has written so far successfully mean:
successfully quizzes = 60 % of 20 quizzes = ( 60 / 100 ) * 20 = 60 * 20 / 100 = 1200 / 100 = 12
The remaining quizzes = 50 - 20 = 30 quizzes
80 percent of the remaining quizzes successfully mean:
The remaining successfully quizzes = 80 % of 30 = ( 80 / 100 ) * 30 = 80 * 30 / 100 = 2400 / 100 = 24
Total successfully quizzes = 12 + 24 = 36
Average = ( 36 / 50 ) * 100 % = 0.72 * 100 % = 72 %
Find X
Please help me answer this question and explain to me how you got that answer.Thank you.
Answers
Based on the two-tangent theorem, the value of x is calculated in the circle as: x = 2.
How to Find x Using the Two-Tangent Theorem?Based on the two-tangent theorem, if two tangents are drawn from a circle to meet each other at any point outside the circle, then the lengths of the tangents are congruent to each other, that is, they are equal.
Therefore, we would create the following equation based on the two-tangent theorem:
20x + 6 = 10x + 26
Combine like terms:
20x - 10x = -6 + 26
10x = 20
Divide both sides by 10:
10x/10 = 20/10
x = 2
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whats 500x200÷90+35
Answers
Answer:1146.11111
500*200 = 100,000
100,000 / 90 = 1111.11111
1111.11111+35 = 1146.11111
The ratio of grapes to strawberries in each fruit bowl is 8 to 3. you can write other ratios equivalent to 8 to 3 using multiplication. How can you write equivalent ratios?
Answers
The equivalent ratios to 8 to 3 following are :
16 to 6
24 to 9
To write equivalent ratios to 8 to 3, you can use multiplication.
For example, you can multiply both terms in the ratio by 2 to get 16 to 6, or by 3 to get 24 to 9.
In general, to write equivalent ratios, you can multiply or divide both terms in the ratio by the same number. For example, if the ratio is a:b, you can write equivalent ratios by multiplying or dividing both a and b by the same number.
For example, the following ratios are all equivalent to 8 to 3:
16 to 6 (obtained by multiplying both terms by 2)
24 to 9 (obtained by multiplying both terms by 3)
4 to 1.5 (obtained by dividing both terms by 2)
8 to 3 (the original ratio)
2 to 0.75 (obtained by dividing both terms by 4)
These ratios all represent the same relationship between the two quantities, but the numbers are different.
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Sawtimber is a term for trees that are suitable for sawing into lumber, plywood and other products. For the years 1983 - 1995, the unit value y (in dollars per million board feet)of one type of sawtimber harvested in California can be modeled by y = 0.125x? - 569x + 848000 where 400 5 x ≤ 2200 where x is the volume of timber harvested (in millions of board feet)
for what harvested timber volumes is the value of the timber less than $400,000 per million board feet?
Answers
Answer:
Step-by-step explanation:
We are given the equation:
y = 0.125x² - 569x + 848000
And we are asked to find the range of values of x for which y is less than $400,000 per million board feet.
Substituting $400,000 for y, we get:
$400,000 = 0.125x² - 569x + 848000
Simplifying this equation, we get:
0.125x² - 569x + 448000 = 0
Now, we can use the quadratic formula to solve for x:
x = (-b ± sqrt(b² - 4ac))/(2a)
where a = 0.125, b = -569, and c = 448000.
Plugging in these values, we get:
x = (-(-569) ± sqrt((-569)² - 4(0.125)(448000)))/(2(0.125))
x = (569 ± sqrt(322961))/0.25
x = (569 ± 569.39)/0.25
x ≈ 1163.57 or x ≈ 68.43
However, we need to check if these values satisfy the given condition of 400 5 x ≤ 2200.
Only x ≈ 68.43 satisfies this condition. Therefore, the harvested timber volume for which the value of the timber is less than $400,000 per million board feet is approximately 68.43 million board feet.
Quadrant I Quadrant II Quadrant III Quadrant IV xxx-axis yyy-axis (2,4)(2,4)left parenthesis, 2, comma, 4, right parenthesis (0,-3)(0,−3)left parenthesis, 0, comma, minus, 3, right parenthesis (-1, \dfrac12)(−1, 2 1 )left parenthesis, minus, 1, comma, start fraction, 1, divided by, 2, end fraction, right parenthesis
Answers
Answer:
Quad22e2 ds
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Students are playing a trivia game that has 3 topics: history, science, and math. Each player spins a spinner with 8 equal sections to get the topic of
their question. The students have answered a total of 48 questions, of which 20 were history questions and 10 were science questions.
How many sections of the spinner are most likely labeled math? Enter the answer in the box.
Answers
Therefore, three sections of the spinner are most likely labeled math.
The students are playing a trivia game, and the game has three different topics that the players can choose from. These three topics are history, science, and math. Every player has to spin a spinner that has eight equal sections to determine which topic they will play.
To solve this question, we need to understand that the spinner has eight equal sections.
There are three different topics in the game, and therefore, it is most likely that there are three sections labeled math.
We can calculate the probability of getting the math topic by dividing the number of math sections by the total number of sections.
Hence, \(\frac{3}{8} = 0.375\)
So, the probability of getting the math topic is 0.375.
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How many solutions does the equation
-1/2(-8x+14) = 3x +9+x have?
Answers
The no: of solutions that the equation -1/2(-8x+14) = 3x +9+x has is 1
What is an example of an equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
What are the 3 types of equations?There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.
The no: of solutions that the equation is -1/2(-8x+14) = 3x +9+x is 1
as the equation is 1 degree polynomial.
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I'm unsure of what the answer to this is, I need help.
Answers
Answer:
I think it would be A
Step-by-step explanation:
Because 9/6 is 1.5 and when you do 3/2 it is also 1.5.
I hope this helps
If a number x is chosen at random from the numbers -2,-1, 0, 1,2.what is the probability that x2<2.
Answers
Answer:
Do you mean 2x<2 or
X <2 or do you mean x²<2
Step-by-step explanation:
If your question is X²<2
Then
Total outcomes=5
Possible outcomes=3(-1,0,1)
Probability of x²<2=3/5
If your question means probability of2x<2
Then
Total outcomes=5
Possible outcomes=3 (-2,-1,0)
Probability of 2x<2=3/5
If your question means x< 2
Then
Total outcomes=5
Possible outcomes=4 (-2,-1,0,1)
Probability of x <2 =4/5
If I have not answered your question
then you can comment and ask me if you have any doubts
Hope this helps
What is the missing variable???
Answers
Finding the Constant Rate of Change On a coordinate plane, a line goes through points (1, negative 1) and (2, 4). This graph displays a linear function. What is the rate of change? Rate of change =
Answers
The rate of change for the given linear function on the coordinate plane is 5.
To find the rate of change of a linear function, we can use the formula:
Rate of change = (change in y-coordinates)/(change in x-coordinates).
Given the points (1, -1) and (2, 4), we can calculate the change in y-coordinates as 4 - (-1) = 5, and the change in x-coordinates as 2 - 1 = 1.
Substituting these values into the formula, we have:
Rate of change = 5/1 = 5.
Therefore, the rate of change for the given linear function is 5.
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On Saturday, Lukas drove 4x - 5 miles. On Sunday, he drove 3x - 10 miles. What is the difference in miles driven? �� x + 15
Answers
Answer: clown and watch me and watch all
Step-by-step explanation: I think it’s ok if I don’t wanna see it on my phone
...........................................................................................................................................
Answers
Answer:
1st box is 200
2nd box is 8
Step-by-step explanation:
Take me to the text Lee Verly will be opening his company called LV Catering in January of the next year. He predicts that January, February and March will generate $155,000,$100,000 and $195,000 worth of sales respectively. The company expects to sell 45% of its products for cash. Of the sales on account, 55% are expected to be collected in the month of the sale, 30% in the month following the sale and the remainder in the following month. Prepate the cash receipts section of the cash budget. Do not enter dollar signs or commas in the input boxes
Answers
Answer:
-January: $116,638
January: $116,638- February: $100,825
January: $116,638- February: $100,825- March: $177,026
Step-by-step explanation:
1. Calculate the cash sales for each month by multiplying the total sales by 45% (0.45):
- January cash sales: $155,000 * 0.45 = $69,750
- February cash sales: $100,000 * 0.45 = $45,000
- March cash sales: $195,000 * 0.45 = $87,750
2. Calculate the sales on account for each month by subtracting the cash sales from the total sales:
- January sales on account: $155,000 - $69,750 = $85,250
- February sales on account: $100,000 - $45,000 = $55,000
- March sales on account: $195,000 - $87,750 = $107,250
3. Calculate the cash receipts from sales on account for each month based on the collection percentages:
- January:
- 55% collected in January: $85,250 * 0.55 = $46,888
- 30% collected in February: $85,250 * 0.30 = $25,575
- 15% collected in March: $85,250 * 0.15 = $12,788
- February:
- 55% collected in February: $55,000 * 0.55 = $30,250
- 30% collected in March: $55,000 * 0.30 = $16,500
- March:
- 55% collected in March: $107,250 * 0.55 = $59,988
4. Add up the cash sales and cash receipts from sales on account to get the total cash receipts for each month:
- January cash receipts: $69,750 (cash sales) + $46,888 (sales on account) = $116,638
- February cash receipts: $45,000 (cash sales) + $30,250 (sales on account) + $25,575 (January sales on account) = $100,825
- March cash receipts: $87,750 (cash sales) + $59,988 (sales on account) + $16,500 (February sales on account) + $12,788 (January sales on account) = $177,026
The cash receipts section of the cash budget for LV Catering would show the following cash receipts for each month:
- January: $116,638
- February: $100,825
- March: $177,026
1) Which equation is quadratic?
a) 3x3 + 2x + 6
(x - 2) (x² + 20)
b)
c) 4- x2
d) all of the above
e) none of the above
Answers
Answer:
Alternativa b
Step-by-step explanation:
Dá para fazer Báskara
factors other than the independent variable may also act on the dependent variable. if these factors vary systematically with the independent variable, they are called:
Answers
Factors other than independent variables which may act on the dependent variable , when these factors vary systematically with independent variable they are known as confounds variables or extraneous variable.
Factor which is other than the independent variable and might produce an effect in the given experiment.Manipulation of independent variable which has an effect on the expressions dependent variable.Other variables which has impact on changing the dependent variables are known as extraneous variable.Extraneous variables are also known as confounding variables.Confounding variables or extraneous variables these are the factors which does not manipulate and are part of the given experiment.Therefore, factors which vary systematically with the given independent variable is called confounds variables or extraneous variable.
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The model shows the expression 30 + 12.
A model with 6 rows of 5 squares and 6 rows of 2 squares.
Which expression is equivalent to this sum?
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
What is the percentage strength of neomycin in the final compounded product? (Answer must be numeric; no units or commas; include a leading zero when the answer is less than 1; round the final answer to the nearest ONE DECIMAL PLACE.)Rx:Neomycin (5%) cream 30gPolymyxin B 20gHydrocortisone 10gMix the ingredients to make a smooth creamSig: apply to affected area BID
Answers
The percentage strength of neomycin in the final compounded product is approximately 2.5%.
To determine the percentage strength of neomycin in the final compounded product, we need to calculate the weight of neomycin in the cream and divide it by the total weight of the cream.
Neomycin (5%) cream: 30g
The neomycin content is 5% of the total cream weight. To find the weight of neomycin in the cream, we multiply the cream weight by the neomycin percentage:
Weight of neomycin = 30g × 0.05 = 1.5g
Now, to calculate the percentage strength of neomycin in the final compounded product, we divide the weight of neomycin by the total weight of the cream and multiply by 100:
Percentage strength of neomycin = (Weight of neomycin / Total weight of cream) × 100
Percentage strength of neomycin = (1.5g / 60g) × 100 ≈ 2.5
Therefore, the percentage strength of neomycin in the final compounded product is approximately 2.5%.
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Identify the term, like term, coefficient, and contant in 4e 7e 5 2e i jut cant undertand what to do pleae hurry I have to go back to cla oon and I WILL GIVE BRAINLYEST TO WHO EVER HELPS ME!
Answers
The equation 4e7e5 + 2e = i Term 1: 4e7e5 Coefficient: 4, Constant: e7e5 Term 2: 2e (Coefficient: 2, Constant: e)
The equation 4e7e5 + 2e = i is composed of two terms. The first term is 4e7e5, which has a coefficient of 4 and a constant of e7e5. The coefficient of 4 indicates that the term is multiplied by 4. The constant, e7e5, is the base number of the term, which is not affected by the coefficient. The second term is 2e, which has a coefficient of 2 and a constant of e. The coefficient of 2 indicates that the term is multiplied by 2. The constant, e, is the base number of the term, which is not affected by the coefficient. Together, the two terms can be simplified and solved for the value of i.
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Please help, I don't get this
Answers
Answer:
The answer is c
Step-by-step explanation:
My college brother told me this is the answer if it isn't I'm sorry but it's his fault
How would i find percent of a number in this case 81% of 108 The work part i have the answer