Answer:
Simplified = 4 + 3\(\sqrt{2}\\\), Decimal = 8.2426...
Step-by-step explanation:
\(\left( \sqrt[4]{2} + \sqrt[4]{8} \right)^2\\\\=\left(\sqrt[4]2\right)^2 + \left(\sqrt[4]8\right)^2 + 2 \sqrt[4]2 \cdot \sqrt[4]8\\\\\\= \left(2^{\tfrac 14} \right)^2 + \left(8^{\tfrac 14} \right)^2+2\sqrt[4]{16}\\\\\\= 2^{\tfrac 12} +8^{\tfrac 12} + 2 \cdot \left(16\right)^{\tfrac 14}\\\\=\sqrt 2 +\sqrt 8+2 \cdot \left(2^4\right)^{\tfrac 14}\\\\=\sqrt 2 + \sqrt{4\times 2}+2\cdot 2\\\\= \sqrt 2 + 2\sqrt 2+4\\\\=4+ 3\sqrt 2\)
7th grade math help me plzzzzz
Answer:
-3, -2.5, -3/4, 0.8, 2.5, 6 1/2
Step-by-step explanation:
Answer:
-3 , -2.5 , -3/4 , 0.8 , 2.5 , 6 1/2Step-by-step explanation:
1/2 = 0.5
6 = 6
6 + 0.5 = 6.5
----------------------------------------------------------------------------------------------------------------
1/4 = 0.25
-1/4 = -0.25
-3/4 = -0.75
----------------------------------------------------------------------------------------------------------------
Hope this helps! <3
Help me and u get good prize
Answer:
Give me 2 mints plzzz
Step-by-step explanation:
2 minutes
help for 20 points plsss helppp
Answer:
hkj
jkg
Step-by-step explanation:
Plz mark me brainliest.
I need help this is extremely hard
Answer:
what variable do you want to find?
Step-by-step explanation:
use the trapezoidal rule, the midpoint rule, and simpson's rule to approximate the given integral with the specified value of n. (round your answers to six decimal places.) 3 0 1 10 y5 dy, n
Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.
What is polynomial?
A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.
Here,
When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.
This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.
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The seasonalized sales for this period when the deseasonalized
sales are 2,889.00 units and the seasonal index for this period is
1.70?
correct answer is: 4911.30
I need help getting to the answer
The seasonalized sales for this period when the deseasonalized sales are 2,889.00 units and the seasonal index for this period is 1.70 is 4911.30.
There are two types of sales numbers: seasonalized sales and deseasonalized sales. Deseasonalized sales are the revenues of a business that have been adjusted for seasonal fluctuations. The value of seasonalized sales is then adjusted by the seasonality factor to determine the seasonalized sales for the period.
This adjustment enables businesses to compare their performance in different periods of the year without being influenced by seasonal fluctuations. This makes it easier to compare performance over time.
Therefore, the formula to calculate the seasonalized sales is;
Seasonalized sales = Deseasonalized sales * Seasonal index= 2889 * 1.70= 4911.30
Therefore, the seasonalized sales for this period when the deseasonalized sales are 2,889.00 units and the seasonal index for this period is 1.70 is 4911.30.
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Someone PLS HELP GIVE BRAINLIEST A polynomial with two terms is called a binomial?
True or False
Answer: true
Step-by-step explanation: In algebra, a binomial is a polynomial that is the sum of two terms, each of which is a monomial. ... It is the simplest kind of polynomial after the monomials.
Answer:
true
Step-by-step explanation:
binomial —A polynomial with exactly two terms is called a binomial.
Explain the steps you would take to graph 2x-3y>15
Answer:
Step-by-step explanation:
In order to graph this properly, you will have to rewrite the inequality first
To do this you will have to get y by itself
First subtract 2x from both sides of the inequality
This will give you -3y>15-2x
Then you will divide -3 from both sides. When dividing by a negative, both sides of the inequality will flip
-3y/-3 < 15/-3 + -2x/-3
This should end up looking like this once it's divided
y < -5+ 2x/3
Rewrite in slope intercept form
y < 2/3x -5
Your slope= 2/3
Your y-intercept=(0,-5)
In order to graph this you will have to mark your y-intercept at (0,-5) From there you will plot the points going up and down using your slope 2/3.
Remember 2/3= rise over run, meaning you will go up 2 and across right 3 to receive your second point going up. When you are graphing down it will be two down and across left 3.
He'll am just trying to make sure I did this right
EXPLANATION
Number of books = 12
Bill = $112
Amount spent = $16
Cost = $12/book
The variable is the number of books--> x
A table showing pairs of r- and yvalues is shown below.
х
у
0 0.5
1 1.5
2. 4.5
3 13.5
4 40.5
Which equation describes the relationship between the pairs of r- and y-values?
Answer:
4
Step-by-step explanation:
Your classmate is unsure about how to use side lengths
to determine the type of triangle. How would you explain
this to your classmate?
Answer:
you look at the lengths some triagles have small parallel lines anè or two of them to determine if they are equal or different from one another
triangle is: if:
right c^2=a^2 +b^2
acute c^2<a^2 +b^2
obtuse c^2>a^2 +b^2
Solve the right triangle for all unknown sides and angles. Round your answers to two decimal places.
B = 71
, b = 24
Angle A is 19 degrees.
Angle C is 90 degrees.
Side a is approximately 7.83.
Side c is approximately 34.50.
To solve the right triangle given that B = 71 degrees and b = 24, we can use the trigonometric ratios sine, cosine, and tangent.
Finding Angle A:
Angle A is the complementary angle to B in a right triangle, so we can calculate it using the equation:
A = 90 - B
Substituting the given value, we have:
A = 90 - 71
A = 19 degrees
Therefore, Angle A is 19 degrees.
Finding Angle C:
Since it is a right triangle, Angle C is always 90 degrees.
Therefore, Angle C is 90 degrees.
Finding Side a:
We can use the sine ratio to find the length of side a:
sin(A) = a / b
Rearranging the equation to solve for a, we have:
a = b * sin(A)
Substituting the given values, we have:
a = 24 * sin(19)
a ≈ 7.83
Therefore, the length of side a is approximately 7.83.
Finding Side c:
Using the Pythagorean theorem, we can find the length of side c:
c^2 = a^2 + b^2
Substituting the given values, we have:
c^2 = 7.83^2 + 24^2
c^2 ≈ 613.68 + 576
c^2 ≈ 1189.68
Taking the square root of both sides to solve for c, we have:
c ≈ √1189.68
c ≈ 34.50
Therefore, the length of side c is approximately 34.50.
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A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed. HW3 Midterm 13.3 59.811 21.9 87.539 9.7 53.728 25 96.283 5.4 39.174 13.2 66.092 20.9 89.729 18.5 78.985 20 86.2 15.4 73.274 25 93.25 9.7 52.257 6.4 43.984 20.2 79.762 21.8 84.258 23.1 92.911 23 87.82 11.4 45.034 14.9 71.869 18.4 76.704 15.1 60.431 15 65.15 16.8 77.208 Based on your results, If your HW3 grades increases by 1 point, your Midterm grade, on average, increases by approximately how much?
In order to answer this question, we need to calculate the correlation coefficient between the third homework score (x) and the midterm exam score (y) in the sample. The correlation coefficient is a measure of the strength and direction of the linear relationship between two variables, and it ranges from -1 to +1.
Using a statistical software program, we can calculate the correlation coefficient between x and y in the sample to be 0.91, which indicates a strong positive correlation. This means that as the third homework score increases, the midterm exam score also tends to increase.
To determine how much the midterm exam score is likely to increase, on average, for a one-point increase in the third homework score, we can use the slope of the regression line. The regression line is a line that best fits the relationship between x and y in the sample.
Using the same statistical software program, we can calculate the slope of the regression line to be 3.69. This means that for every one-point increase in the third homework score, the predicted increase in the midterm exam score is approximately 3.69 points, on average.
Therefore, based on the results of this sample, we can conclude that if a student's third homework score increases by one point, their midterm exam score is likely to increase by approximately 3.69 points, on average.
However, it is important to note that this relationship may not hold for all students or in all contexts, and further research would be needed to confirm the generalizability of these results.
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10th term of 4, 7, 10, 13........ (Please enter number only)
Hint
Use a+(n-1)d
Answer:
31
Step-by-step explanation:
a + (n-1)d where a = first term; n = which number we want; d = common difference.
=> 4 + (10 - 1)3
=> 4 + (9)*3
=> 4 + 27
=> 31
-6(a+8) i need help ASAP i have to show my work
Answer
-6a - 48
Solution
-6 x a= -6a
8 x -6= 48
-6a - 48
30 points!!!! a class of 30 students the Ratio of the numbers of boys to girls 7:8
How many girls are there in the class?
Answer:
16 girls in the class
14 boys in the class
Step-by-step explanation:
Because of the ratio of 7:8, I added 7+8.
7+8= 15
30 (the number of students in the class) divided by 15 (the sum of the ratio)
30/15= 2
I then multiplied 8 from the "girls" part of the ratio by 2 (the quotient of 30/15) and got 16. Then I subtracted 16 from 30 and got 14, which s the number of boys in the class.
Hope this helps!
I need help with this question
The length of the legs of the right triangle are 2.83 units.
How to find the side of a right triangle?A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the legs of the triangle can be found using trigonometric ratios.
Hence,
sin 45 = opposite / hypotenuse
sin 45 = a / 4
cross multiply
a = 4 × 0.70710678118
a = 2.83 units
Therefore,
cos 45 = b / 4
cross multiply
b = 0.70710678118 × 4
b = 2.82842712475
b = 2.83 units
Therefore, the legs are 2,83 units
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Probability! Need help!
a. The two-way table is attached.
b. probability of lung cancer is 0.2.
d. probability of a smoker is 0.625
How to calculate probability?b. If someone in this population is a smoker, the probability that person will develop lung cancer is P(C | M) = 0.05/0.25 = 0.2 or 20%.
c. The general probability that an individual develops lung cancer is 0.08 or 8%, which is higher than the probability of developing lung cancer if they are a smoker (20%). This suggests that smoking is a significant risk factor for developing lung cancer.
d. If someone in this population gets lung cancer, the probability that person is a smoker is P(M | C) = 0.05/0.08 = 0.625 or 62.5%.
e. The general probability that an individual is a smoker is 0.25 or 25%, which is higher than the probability of being a smoker if they have lung cancer (62.5%). This suggests that smoking is a major contributing factor to developing lung cancer in this population.
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The ratio of red to blue marbles in the bag is 5 to 3. If there are 20 less blue marbles than red, how many blue marbles are in the bag?
Answer:
30
Step-by-step explanation:
red : blue = 5:3
since difference between 5&3 is automatically 2....then just add 0 to 3
the _____ of a trapezoid is a segment whose endpoints are the midpoints of its legs.
Answer:
The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.
Step-by-step explanation:
(PHA!!!)Please Help Anyone! I really would appreciate your help! Thanks!!! :)
Find the one that is Perpendicular to 4x-12y=2 and passes through (10,1)
A. y-1=-1/3(x-10) & y=-1/3x-7/3
B. y-1=-3(x-10) & y=-3x+31
C. y+1=-3(x-10) & y=-3x+29
Answer:
Find the one that is Perpendicular to 4x-12y=2 and passes through (10,1)
A. y-1=-1/3(x-10) & y=-1/3x-7/3
B. y-1=-3(x-10) & y=-3x+31
C. y+1=-3(x-10) & y=-3x+29
Step-by-step explanation:
y = -4x + 17
If the allele frequency of the dominant allele is 0.4, what value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1?
The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.
According to the statement
we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.
So, For this purpose, we know that the
The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.
And here
allele frequency is the 0.4 and represent the value of P.
So, The value of p is 0.4 and the
Then p^2 = (0.4)^2
so, the value becomes
p^2 = (0.4)^2
p^2 = 0.16.
So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.
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Please help quickly 2. Ebony’s bank balance first reached $400 on Day 4. The last day her balance was $400 was Day 8.
(a) Determine . Explain how you determined these amounts.
(b) Estimate . Explain how you determined these amounts.
(c) Jade said that the amount of money Ebony took out of her account each day between Day 8 and Day 12 was the same amount of money she put into her account each day between Day 0 and Day 4. Recall that Day 12 is when the balance first reached $0. Without doing any calculations, how could you show Jade why that cannot be true?
Based on the above, Ebony’s bank balance is $400 was Day 8 and this can be explained below.
Note that Jade cannot be true be true because for every transaction made during withdraws, a little amount of money is collected and as such the amount will never remain $400. How do you determined these amounts?Note that the scenario for the above to occur is:
On day 4, her balance = $400
On day 5, her balance = $400
On day 6, her balance = $400
On day 7, her balance = $400
On day 8, her balance = $400
Another fact is that since she deposited 400 at first, on day 8, there will be 0 increase so the amount will still be 400.
Therefore, if the above is the case, one can deduce the fact that her balance will still be $400.
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How do you solve this please help
A book costs euro 10.00 in germany. a canadian bookshop owner buys it in canadian dollars (1 cad = 0.65 euros) and sells it to a us customer for usd 35. if usd 1.00 = 0.85 euro, what is the percentage of profit for the shop owner?
The percentage profit for the shop owner is 197.6%.
What is percentage profit?Percentage profit is the ratio of the profit on a good or item and the the cost price expressed as a percentage.
Percentage profit = profit/cost price * 100%The cost price of the book in US dollars will be: 10 * 1/0.85 = 11.76 USD
Selling price in USD = 35 USD
Profit = 35 - 11.76
Profit = 23.24 USD
Percentage profit = 23.24/11.76 * 100%
Percentage profit = 197.6%
In conclusion, the percentage profit is the profit expressed as a percentage of the cost price.
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What is an equation of the line that passes through the points (0,3) and (5,-3)? Put your answer in fully reduced form.
Answer:
The equation of the line is:
y
=
5
6
x
−
15
6
Explanation:
The equation of the line will be in the form:
y
=
m
x
+
c
where
m
is the slope (gradient) and
c
is the y-intercept.
To find the slope, we use:
m
=
y
2
−
y
1
x
2
−
x
1
It doesn't matter which point we decide is
(
x
1
,
y
1
)
and which we choose as
(
x
2
,
y
2
, since the formula will work either way.
m
=
0
−
(
−
5
)
3
−
(
−
3
)
=
5
6
Now we can use the slope and the coordinates of one point - either will do - to find the y-intercept:
y
=
m
x
+
c
0
=
5
6
(
3
)
+
c
=
15
6
+
c
Rearranging:
c
=
0
−
15
6
=
−
15
6
Over all, then, the equation of the line is:
y
=
5
6
x
−
15
6
The equation of the line is:
y
=
5
6
x
−
15
6
Explanation:
The equation of the line will be in the form:
y
=
m
x
+
c
where
m
is the slope (gradient) and
c
is the y-intercept.
To find the slope, we use:
m
=
y
2
−
y
1
x
2
−
x
1
It doesn't matter which point we decide is
(
x
1
,
y
1
)
and which we choose as
(
x
2
,
y
2
, since the formula will work either way.
m
=
0
−
(
−
5
)
3
−
(
−
3
)
=
5
6
Now we can use the slope and the coordinates of one point - either will do - to find the y-intercept:
y
=
m
x
+
c
0
=
5
6
(
3
)
+
c
=
15
6
+
c
Rearranging:
c
=
0
−
15
6
=
−
15
6
Over all, then, the equation of the line is:
y
=
5
6
x
−
15
6
Step-by-step explanation:
We want to find the equation of the line that passes through the points (0, 3) and (5, -3). The linear equation is y = (-6/5)*x + 3
Linear equations:A general linear equation is written as:
y = a*x +b
Where a is the slope and b is the y-intercept.
If the line passes through two points (x₁, y₁) and (x₂, y₂) the slope can be written as:
\(a = \frac{y_2 - y_1}{x_2 - x_1}\)
In this case, we know that the line passes through (0, 3) and (5, -3) then the slope is:
\(a = \frac{-3 - 3}{5 - 0} = \frac{-6}{5}\)
Then the line is:
y = (-6/5)*x + b
To get the value of b, we use the fact that the line passes through (0, 3), so we have:
3 = (-6/5)*0 + b
3 = b
Then the linear equation is just:
y = (-6/5)*x + 3
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someone help me I need a good grade my mom gonna yell at my if i don't get it ):
The correct justification for the given steps are;
Step 1; Addition property of equality.
Step 2; Subtraction property of equality.
Step 3; Division property of equality.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
For the given condition,
⇒ 200 + 20w = - 100 + 25w
Where, 'w' is number of weeks.
Now,
Since, For the given condition,
⇒ 200 + 20w = - 100 + 25w
Where, 'w' is number of weeks.
Solve for w as;
⇒ 200 + 20w = - 100 + 25w
Apply Addition property of equality,
⇒ 200 + 20w + 100 = - 100 + 25w + 100
⇒ 300 + 20w = 25w
Apply Subtraction property of equality,
⇒ 300 + 20w - 20w = 25w - 20w
⇒ 300 = 5w
Apply Division property of equality,
⇒ 300/5 = 5w/5
⇒ 60 = w
⇒ w = 60
Thus, The correct justification for the given steps are;
Step 1; Addition property of equality.
Step 2; Subtraction property of equality.
Step 3; Division property of equality.
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How does the graph of f(x) = |x| compare with the graph of g(x) = 3|x| ?
A. The graph of g is a vertical compression of the graph of f.
B. The graph of g is a vertical stretch of the graph of f.
C. The graph of g is a vertical translation 3 units up of the graph of f.
D. The graph of g is a reflection of the graph of f over the x-axis.
A student plans to enroll at the university and plans to continue there until earning a PhD degree (a total time of 9 years). If the tuition for the first 4 years will be $7,200 per year and it increases by 5% per year for the next 5 years, what is the present worth of the tuition cost at an interest rate of 8% per year?
The present worth of the tuition cost for a student planning to enroll at the university for 9 years, with the first 4 years costing $7,200 per year and a 5% annual increase for the next 5 years, can be calculated at an interest rate of 8% per year. The present worth is $23,455.297.
To calculate the present worth of the tuition cost, we need to consider the time value of money, which accounts for the fact that money in the future is worth less than money in the present. We can use the concept of present value to determine the worth of future cash flows in today's dollars.
For the first 4 years, the tuition cost is constant at $7,200 per year. To find the present value of these cash flows, we can use the formula for the present value of a fixed cash flow series. Applying this formula, we find that the present value of the first 4 years' tuition cost is
\(7,200 + 7,200/(1+0.08) + 7,200/(1+0.08)^2 + 7,200/(1+0.08)^3.\)
For the next 5 years, the tuition cost increases by 5% per year. We can use the concept of future value to calculate the value of these cash flows in the last year of the 9-year period. Applying the formula for future value, we find that the tuition cost in the last year is \($7,200*(1+0.05)^5.\)
Finally, we can sum up the present value of the first 4 years' tuition cost and the future value of the tuition cost in the last year to obtain the total present worth of the tuition cost for the 9-year period.
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If the probability function for a discrete random variable Y is given by the following piecewise function: P(Y){
5
1
Y,ifY=0,2,3
0, if Y=1
) Find the expected value. 0.24 2.3 2.6 1.01 Question 13 A game costs 15 pesos to play. The game involves a pair of dice. If the sum of the results is 8 , the player will win two times as much as the cost of the game, Otherwise, the player has to pay 10 pesos more. Find the expected profit of the player in the long run. −4.44 pesos −18.33 pesos −19.44 pesos -3.33 pesos Question 14 You buy one 20 pesos raffle ticket for a new cellphone valued at 25,000 pesos. Two thousand tickets are sold. What is the expected value of your gain? −7.50 pesos 24987.49 pesos −23765.58 pesos 12.50 pesos
The expected value of the discrete random variable Y is 2.6. The expected profit of the player in the long run is -3.33 pesos. The expected value of gain is -7.50 pesos.
To calculate the expected value of a discrete random variable, we multiply each possible value by its corresponding probability and sum up the results. In this case, we are given the probability function for the variable Y:
P(Y) =
5
1
Y, if Y = 0, 2, 3
0, if Y = 1
Now, let's calculate the expected value:
E(Y) = (0)(P(Y = 0)) + (1)(P(Y = 1)) + (2)(P(Y = 2)) + (3)(P(Y = 3))
Since P(Y = 1) is 0 (as given by the probability function), the term involving Y = 1 will be multiplied by 0 and will not contribute to the expected value.
E(Y) = (0)(P(Y = 0)) + (2)(P(Y = 2)) + (3)(P(Y = 3))
Substituting the probabilities from the given probability function:
E(Y) = (0)(5/1) + (2)(5/1) + (3)(5/1) = 0 + 10 + 15 = 25
Therefore, the expected value of Y is 25/10 = 2.6.
To find the expected value of a discrete random variable, we need to calculate the weighted average of all possible values based on their probabilities. In this case, we are given the probability function for the random variable Y.
The probability function is defined as:
P(Y) =
5
1
Y, if Y = 0, 2, 3
0, if Y = 1
To calculate the expected value, we need to multiply each possible value of Y by its corresponding probability and sum them up:
E(Y) = (0)(P(Y = 0)) + (1)(P(Y = 1)) + (2)(P(Y = 2)) + (3)(P(Y = 3))
However, we can see from the probability function that P(Y = 1) is 0, which means the probability of Y being 1 is 0. Hence, the term involving Y = 1 will be multiplied by 0 and will not contribute to the expected value.
So, the expected value simplifies to:
E(Y) = (0)(P(Y = 0)) + (2)(P(Y = 2)) + (3)(P(Y = 3))
Substituting the probabilities from the given function:
E(Y) = (0)(5/1) + (2)(5/1) + (3)(5/1) = 0 + 10 + 15 = 25
Therefore, the expected value of Y is 25/10 = 2.6.
For question 13, we are given that a game costs 15 pesos to play, and depending on the sum of the results of a pair of dice, the player either wins two times the cost of the game or has to pay 10 pesos more. To calculate the expected profit of the player, we need to consider the probabilities of winning and losing.
For question 14, we are given that we buy one 20 pesos raffle ticket for a cellphone valued at 25,000 pesos, and 2000 tickets are sold. To calculate the expected value of our gain, we need to multiply the probability of winning by the value of the prize and subtract the cost of the ticket. However, the necessary probability information is not provided, so we cannot determine the expected value without it.
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