Answers
From the figure 1. Two line segments are LA and EP. 2. Two rays are EC and AH. 3. Two lines are b and AP.
What are rays, line segment and line?A ray is a segment of a line with a single endpoint and unlimited length in a single direction. A ray cannot be measured in terms of length.
The ends of a line segment are two. These endpoints are included, along with every point on the line that connects them. A segment's length can be measured, while a line's length cannot.
A line is a collection of points that extends in two opposing directions and is endlessly long and thin.
From the given figure we observe that,
1. Two line segments are LA and EP.
2. Two rays are EC and AH.
3. Two lines are b and AP.
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Related Questions
PLEASE HELP
The linear function f(x) = 0.9× + 79 represents the average test score in your math class, where x is the number of the test taken. The linear function g(x) represents the average test score in your science class, where x is the number of the test taken.
Answers
The required answers are 80.8, 79,and g(42) > f(42).
How to find average of equation?Part A:
To determine the test average for the math class after completing test 2, we need to evaluate the function f(x) at x=2. That is,
[tex]$$f(2) = 0.9(2) + 79 = 80.8$$[/tex]
Therefore, the test average for the math class after completing test 2 is 80.8.
Part B:
To determine the test average for the science class after completing test 2, we need to find the equation of the linear function g(x) that passes through the given points (1,78) and (2,79). The slope of the line passing through these points is
[tex]$m=\frac{y_2-y_1}{x_2-x_1}=\frac{79-78}{2-1}=1$$[/tex]
We can use the point-slope form of a line to find the equation of the line passing through the point (1,78) with slope m=1. That is,
[tex]$$y-78 = 1(x-1)$$[/tex]
Simplifying, we get
y = x + 77
Therefore, the test average for the science class after completing test 2 is
g(2) = 2 + 77 = 79
Part C:
To determine which class had a higher average after completing test 42, we need to evaluate f(42) and g(42) and compare the results. We have
[tex]$$f(42) = 0.9(42) + 79 = 117.8$$[/tex]
To find (42), we need to extend the linear function g(x) beyond the given data points by assuming that the function is linear and continues with the same slope m=1. That is,
g(x) = x + 77
for all [tex]$x\geq 1$[/tex]. Therefore,
[tex]$$g(42) = 42 + 77 = 119$$[/tex]
Since g(42) > f(42), we conclude that the science class had a higher average after completing test 42.
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What percentage decrease in profits from 2021 to 2022 would imply that profits were equal in 2020 and 2022?
Answers
This means that in order for the profits in 2022 to match those in 2020, the profits in 2021 would also need to match those in 2020.
[tex]r = 0[/tex] % is the percentage drop in earnings from 2021 to 2022 that would indicate that profits were equal in both 2020 and 2022.
What does “mean profit” mean?Profits for mesne. According to Section 2(12) C.P.C., the term “mesne profit” refers to any earnings that the person who is in wrongful possession of a piece of property has actually received or may obtain in the future. High Court of Telangana.
The earnings in 2022 must match the profits in 2020, hence we must choose the value of r such that:
[tex]P \times(1-r/100)^² = P[/tex]
By simplifying and dividing both sides by P, we obtain:
[tex](1-r/100)^² = 1[/tex]
Taking the square root of both sides, we get:
1-r/100 = ±1
Each time we solve for r, we obtain:
[tex]1-r/100 = 1[/tex] , which implies [tex]r = 0[/tex]
and
[tex]1-r/100 = -1,[/tex] which implies [tex]r = 200[/tex]
We reject the [tex]r = 200[/tex] Option because a percentage drop cannot be larger than 100%.
Therefore, [tex]r = 0[/tex] % is the percentage drop in earnings from 2021 to 2022 that would indicate that profits were equal in both 2020 and 2022.
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Bria is a customer who would like to display her collection of soap carvings on top of her bookcase. The collection needs an area of 300 square inches. What should b equal for the top of the bookcase to have the correct area? Round your answer to the nearest tenth of an inch. (1 point)
help me pls D;
Answers
The length of the top of the bookcase is 20 inches, the width should be 15 inches to have the correct area.
How to find the dimensions of rectangle?Since the area of the soap carvings is 300 square inches, we want the top of the bookcase to have the same area. Let's assume the length of the top of the bookcase is "l" and the width is "b". Then we have:
Area of top of bookcase = lb
We want this area to be equal to 300 square inches. Therefore, we can write:
lb = 300
We are solving for "b", so we can rearrange this equation to solve for "b":
b = 300/l
Since we don't know the value of "l", we can't solve for "b" exactly. However, we can approximate it by assuming a value for "l". Let's say we assume that "l" is 20 inches. Then we can calculate "b" as follows:
b = 300/20 = 15
So if the length of the top of the bookcase is 20 inches, the width should be 15 inches to have the correct area.
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State if the triangles in each pair are similar
Answers
Answer:
They are similar
Step-by-step explanation:
It's because 27/18 = 12/8
27/18 = 1.5
12/8 = 1.5
consider a student loan of $15000 at a fixed APR of 12 % for 20 years
Answers
Therefore, the monthly payment for a student loan of $15,000 at a fixed APR of 12% for 20 years is $144.36.
What is interest?Interest is the cost of borrowing money or the return on investing money. When you borrow money, you usually have to pay back more than you borrowed, and the additional amount you pay is the interest. The interest rate is expressed as a percentage of the borrowed amount, and it can vary depending on factors such as the borrower's credit score, the term of the loan, and the lender's policies.
Given by the question.
Assuming the loan has a fixed interest rate of 12% per annum, the amount of interest charged each year will be:
12% of $15,000 = $1,800
The total interest charged over 20 years will be:
$1,800 x 20 = $36,000
The total amount to be repaid (principal + interest) will be:
$15,000 + $36,000 = $51,000
If the loan is being repaid in equal monthly installments over the 20-year term, the monthly payment can be calculated using the following formula:
M = P * (r[tex](1+r)^{n}[/tex]) / ([tex](1+r)^{n}[/tex]- 1)
Where:
M = Monthly payment
P = Principal amount (in this case, $15,000)
r = Monthly interest rate (12% per annum / 12 months = 1% per month)
n = Total number of payments (20 years x 12 months per year = 240)
Plugging in the values:
M = $15,000 * (0.01[tex](1+0.01)^{240}[/tex]) / ([tex](1+0.01)^{240}[/tex] - 1)
M = $144.36
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Let f(x) = x? - 6x + 8 and g (x) = x - 5.
Find (f + g) (x) and (f - g) (x) .
Answers
(f + g)(x) = x^2 - 5x + 3.
(f - g)(x) = x^2 - 7x + 13
Step by step explanation:
To find (f + g)(x), we add the functions f(x) and g(x) together:
(f + g)(x) = f(x) + g(x) = (x^2 - 6x + 8) + (x - 5)
Combining like terms, we get:
(f + g)(x) = x^2 - 5x + 3
Therefore, (f + g)(x) = x^2 - 5x + 3.
To find (f - g)(x), we subtract the function g(x) from f(x):
(f - g)(x) = f(x) - g(x) = (x^2 - 6x + 8) - (x - 5)
Again, combining like terms, we get:
(f - g)(x) = x^2 - 7x + 13
Therefore, (f - g)(x) = x^2 - 7x + 13.
A company manufactures rubber balls. The mean diameter of a ball is 12 cm with a standard deviation of 0.2 cm. Define the random variable X in words. X = ______________.
Answers
A company manufactures rubber balls, random variable X in words is diameter of the rubber ball, standard deviation is -1.5 and z-score of the x = 2 is 2.123.
A random variable is a variable with an unknown value or a function that gives values to each of the results of an experiment. Random variables are frequently identified by letters and fall into one of two categories: continuous variables, which can take on any value within a continuous range, or discrete variables, which have specified values.
In probability and statistics, random variables are used to measure outcomes of a random event, and hence, can take on various values. Real numbers are often used as random variables since they must be quantifiable.
1) X denotes the diameter of the rubber ball.
So the correct option was A. (option A)
Therefore, the random variable X in words is diameter of the rubber ball.
2) For 1.5 Standard deviations left to the mean , Z score will be -1.5
option(A)
So, standard deviation to the left of the mean is -1.5.
3) [tex]Z=\frac{(x-\mu)}{\sigma}[/tex]
x=2
sigma = √2
Z = 2-(-1)/ √2
Z = 3/√2
Z = 2.123
Hence, the z-score of the x = 2 is 2.123.
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Complete question:
A company manufactures rubber balls. The mean diameter of a rubber ball is 12 cm with a standard deviation of 0.2 cm. Define the random variable X in words. X
diameter of a rubber ball
rubber balls
mean diameter of a rubber ball
12 cm
Question 2 What is the z-score of x=9, if it is 1.5 standard deviations to the left of the mean? Hint: the z-score of the mean is =0 −1.5 1.5 9 Question 3 Suppose X∼N(−1,2). What is the z-score of x=2 ? Hint: z=(x−μ)/σ 1.5 −1.5 0.2222
if the area to the left of x in a normal distribution is 0.123, what is the area to the right of x? [1 point]
Answers
The area to the right of x is 0.877.
In a normal distribution, the entire area under the curve is identical to 1. The area to the left of a specific value of x represents the possibility of observing a value largely lesser than or same tox.
However, we're capable to discover the area to the right of x with the aid of abating the left area from 1, If the place to the left of x is given.
In this case, the area to the left of x is 0.123. thus, the place to the right of x is
1-0.123 = 0.877
Thus, the area is 0.877 to the right of x.
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When you calculate (In) 7, you would be finding the
value of which of the following expressions?
O log10 7
O log, 10
O log, e
O log 7
Answers
Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.
what is logarithm?In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).
When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).
As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).
Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.
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Converting from decimal to non-decimal bases. info About A number N is given below in decimal format. Compute the representation of N in the indicated base. (a) N = 217, binary. (b) N = 99, hex. (c) N = 344, hex. (d) N =136, base 7. (e) N = 542, base 5. (f) N = 727, base 8. (g) N = 171, hex. (h) N = 91, base 3. (i) N = 840, base 9.
Answers
Hence the conversion of given numbers according to given demand is
a) N=217 in binary = 11011001
b) N=99 in hexadecimal = 63
c) N= 344 in hexadecimal = 158
d) N= 136 in base 7 = 253.
e) N= 542 in base 5 = 4132.
f) N= 727 in base 8= 1327
g) N= 171 in hexa =1011
h) N=91 in base 3=10101.
i) N= 840 in base 9 = 1133
a) A good method to convert a decimal number to binary is dividing it by 2 and using the remainder of the division as the converted number, starting by the most significant bit (the right one). We can't divide anymore. So we have:
217÷2 = 108 + 1
108÷2 = 54 + 0
54÷2 = 27 + 0
27÷2 = 13 + 1
13÷2 = 6 + 1
6÷2 = 3 + 0
3÷2 = 2 +1
2÷2 = 1
The binary equivalent to 217 is 11011001
b) To convert a number from decimal to hex we can divide the number by 16, taking out the decimal part and multiplying it by 16 using that as our most significant number while using the result of the original division to continue our conversion. So we have:
99÷16 = 6.1875
The decimal part is 0.1875, we multiply it by 16 and obtain 3 as our most significant number. Since we can't divide 6 by 16 we have that as our least significant number then the hexadecimal equivalent is 63.
c) We follow the same steps as in item b:
344÷16 = 21.5
The most significant number is 0.5*16 = 8
21÷16 = 1.3125
The next number is 0.3125*16 = 5
Since we can't divide it anymore we have our result which is 158 in hex.
d) To convert from decimal to base 7 we'll use the same method as to hex, but this time dividing and multiplying by 7.
136÷7 = 19.428571
The most significant number is 0.428571 * 7 = 3
19÷7 = 2.71428571
The next number is 0.71428571*7 = 5
Since we can't divide it anymore we have our result which is 253.
e) To convert from decimal to a base 5 we'll use the same method as before but dividing and multiplying by 5.
542÷5 = 108.4
The most significant number is 0.4*5 = 2
108÷5 = 21.6
The next number is 0.6*5 = 3
21÷5 = 4.2
The next number is 0.2*5 = 1
Since we can't divide it anymore we have our result which is 4132.
f) To convert from decimal to a base 8 we'll use the same method as before but dividing and multiplying by 8.
727÷8 = 90.875
The most significant number is 0.875*8 = 7
90÷8 = 11.25
The next number is 0.25*8 = 2
11÷8 = 1.375
The next number is 0.375*8 = 3
Since we can't divide anymore we have our result which is 1327
g) Following the same steps as before:
171÷16 = 10.6875
The most significant number is 0.6875*16 = 11
Since we can't divide anymore we have our result which is 1011
h) Following the same steps as before:
91÷3 = 30.333333333
The most significant number is 0.333333*3 = 1
30÷3 = 10
The next number is 0
10÷3 = 3.3333333333
The next number is 0.333333*3 = 1
3÷3 = 1
Since we have the final value remainder as 0 the least significant number is 1
Since we can't divide anymore we have our result which is 10101.
i) Following the same steps as before:
840÷9 = 93.333333
The most significant number is 0.33333*9 = 3
93÷9 = 10.3333333
The next number is 0.333333*9 = 3
10÷9 = 1.11111111
The next number is 0.11111111*9 = 1
Since we can't divide anymore we have our result which is 1133
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please help!!! i really need it
Answers
Step-by-step explanation:
Lisa started with $25 on her prepaid debit card. After her first purchase, she had $22.90 left. Therefore, she spent:
$25 - $22.90 = $2.10
We know that the price of the ribbon was 14 cents per yard. To find out how many yards Lisa bought, we can set up an equation:
$2.10 ÷ $0.14/yd = 15 yards
Therefore, Lisa bought 15 yards of ribbon with her prepaid debit card.
i hope this helps
spinner is divided into seven equal sections numbered 1 through 7 If the spinner is spun twice, what is the theoretical probability that it lands on 2 and then an odd number?
A) 1/49
B) 4/49
C) 1/7
D) 4/7
Answers
Answer:
B is correct
Step-by-step explanation:
If it is spun twice then the probability of it landing on 2 and then an odd number is:
Pr(2,1) or Pr(2,3) or Pr(2,5) or Pr(2,7)
1/49 * 4
4/49
A candy store owner used a cylindrical wooden log as a bench in their store. The height
of that log was 2
feet. The diameter of its base was 1.25
feet. If it costs $7.20
per square foot to paint that log at every side, how much approximately will it cost the
store owner? The total surface area of the right circular cylinder is 2nrh+2rr2
, where, r
is the radius of the base of the cylinder and, h
is the height of the cylinder
Answers
Answer:
Step-by-step explanation:
its 60
PLEASE HELP FAST!!
Find the slope of a line perpendicular to the line whose equation is
4x−6y=−24. Fully simplify your answer.
Answers
Answer: -3/2
Step-by-step explanation:
FIrst rearrange the equation in y = mx + b form.
4x - 6y = -24
-6y = -4x - 24
y = 2/3x + 4
If the line is perpendicular, the slope must be the negative reciprocal of the current line.
The negative reciprocal of 2/3 is -3/2.
Which construction is shown in the diagram below?
Answers
Answer:
Step-by-step explanation:
i think it B
A firm is a monopoly for the good it produces. Its average cost function is AC = 9+(3/10)q+30/q, where q is the quantity produced. The demand equation for its good is given by q = 40 - (4/3)p where p is the price.
(a) Find expressions, in terms of q, for the total revenue.
(b) What is the equation for the Total cost?
(c) Find the expression for profit. (d) Find the total output and revenue at the break even point.
(e) Find the profit when 20 units are produced.
(f) Find the profit when 7 units are produced.
(g) Find the output required to obtain a profit of RM100.
Answers
The answer of the given question is (a) TR = p(40 - (4/3)p), or TR = 40p - (4/3)p² , (b) TC = 9q + (3/10)q² + 30 , (c) π = 40p - (4/3)p² - 9q - (3/10)q² - 30 , (d) TR ≈ 342.67 , (e) the profit when 20 units are produced is approximately RM188.27 , (f) the profit when 7 units are produced is approximately -RM24.44, indicating a loss , (g) the output required to obtain a profit of RM100 is approximately 8.78 units.
What is Equation?An equation is mathematical statement that asserts yhe equality of two expressions. It typically consists of variables, constants, and mathematical operations like addition, subtraction, multiplication, and division, among others. Equations are often used to solve problems, to model real-world phenomena, and to describe mathematical relationships.
(a) The total revenue is given by TR = p x q. Substituting the demand equation q = 40 - (4/3)p, we get TR = p(40 - (4/3)p), or TR = 40p - (4/3)p².
(b) The total cost is given by TC = q x AC. Substituting the given average cost function, we get TC = 9q + (3/10)q² + 30.
(c) The profit is given by π = TR - TC. Substituting the expressions we found in parts (a) and (b), we get π = 40p - (4/3)p² - 9q - (3/10)q² - 30.
(d) At the break even point, the firm earns zero profit, so we set π = 0 and solve for q. Substituting the expression we found in part (a) for p, we get:
0 = 40p - (4/3)p² - 9q - (3/10)q² - 30
0 = 40(40/3 - (3/4)q) - (4/3)(40/3 - (3/4)q)² - 9q - (3/10)q² - 30
0 = 533.33 - 51.25q - 0.22q^2
Solving for q using the quadratic formula, we get:
q = (51.25 ± sqrt(51.25² - 4(-0.22)(533.33))) / 2(-0.22)
q ≈ 22.75 or q ≈ 206.58
We reject the solution q ≈ 206.58 because it is outside the relevant range of output, which is between 0 and 40. Therefore, the total output at the break even point is approximately 22.75 units. To find the total revenue at the break even point, we substitute q = 22.75 into the demand equation from part (a) and get:
p = (40/3) - (3/4)q
p ≈ 15.08
TR = p x q
TR ≈ 342.67
(e) To find the profit when 20 units are produced, we substitute q = 20 into the expression for profit we found in part (c) and get:
π = 40p - (4/3)p² - 9q - (3/10)q² - 30
π ≈ 188.27
Therefore, the profit when 20 units are produced is approximately RM188.27.
(f) To find the profit when 7 units are produced, we substitute q = 7 into the expression for profit we found in part (c) and get:
π = 40p - (4/3)p² - 9q - (3/10)q² - 30
π ≈ -24.44
Therefore, the profit when 7 units are produced is approximately -RM24.44, indicating a loss.
(g) To find the output required to obtain a profit of RM100, we set the profit equation equal to 100 and solve for q:
Profit = TR - TC
100 = pq - ACq
100 = (40-(4/3)p)*q - (9+(3/10)q+30/q)*q
100 = (40-(4/3)p - 9q - 3q²/10)
Multiplying by 10 and rearranging terms, we get a quadratic equation in q:
3q² + 91q - 310 = 0
Solving for q using the quadratic formula, we get:
q = (-91 ± sqrt(91² - 43(-310)))/(2*3)
q ≈ 8.78 or q ≈ -29.44
Since the quantity produced cannot be negative, the output required to obtain a profit of RM100 is approximately 8.78 units.
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(a) Show that if λ is an eigenvalue of A, then λ is an eigenvalue of [tex]A^{T}[/tex]. Show with an example that the eigenvectors of A and [tex]A^{T}[/tex] are not the same.
(b) Show that if λ is an eigenvalue of A, and A is invertible, then λ^-1 is an eigenvalue of A^-1.
Answers
If λ is an eigenvalue of A, then λ is an eigenvalue of [tex]A^T[/tex]. Show with an example that the eigenvectors of A and [tex]A^T[/tex] are not the same.
What are eigenvalues and eigenvectors?The equation Av = λv, where v is a non-zero vector, is satisfied by an eigenvector v and an eigenvalue given a square matrix A. In other words, the eigenvector v is multiplied by the matrix A to produce a scalar multiple of v. Due to their role in illuminating the behaviour of linear transformations and differential equation systems, eigenvectors play a crucial role in many branches of mathematics and science. When the eigenvector v is multiplied by A, the eigenvalue indicates how much it is scaled.
The eigenvalue and eigenvector states that, let v be a non-zero eigenvector of A corresponding to the eigenvalue λ.
Then, we have:
Av = λv
Taking transpose on both sides we have:
[tex]v^T A^T = \lambda v^T[/tex]
The above equations thus relates transpose of vector and transpose of A to λ.
Now, consider a matrix:
[tex]\left[\begin{array}{cc}1&2\\3&4\\\end{array}\right][/tex]
Now, the eigen values of this matrix are λ1 = -0.37 and λ2 = 5.37.
The eigenvectors are:
[tex]v1 = [-0.8246, 0.5658]^T\\v2 = [-0.4159, -0.9094]^T[/tex]
Now, for transpose of A:
[tex]A^T=\left[\begin{array}{cc}1&3\\2&4\\\end{array}\right][/tex]
The eigen vectors are:
[tex]u1 = [-0.7071, -0.7071]^T\\u2 = [0.8944, -0.4472]^T[/tex]
Hence, we see that, if λ is an eigenvalue of A, then λ is an eigenvalue of [tex]A^T[/tex]. Show with an example that the eigenvectors of A and [tex]A^T[/tex] are not the same.
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What is the period of f(x)=secx?
Enter your answer in the box.
period of f(x)=secx:
Answers
Therefore , the solution of the given problem of function comes out to be f(x) = sec(x) has a period of 2. 2 is the answer.
What is function?The midterm test questions will cover all of the topics, including actual as well as fictitious locations and arithmetic variable design. a diagram showing the relationships between different elements that cooperate to create the same result. A service is composed of numerous distinctive components that cooperate to create distinctive results for each input. Every mailbox has a particular spot that might be used as a haven.
Here,
=> F(x) = sec(x) has a 2 phase.
Because the secant function is periodic, its values recur after a predetermined amount of time.
This interval's length is equal to the secant function's duration.
The formula for the secant function is
=> sec(x) = 1/cos.(x).
The cosine function repeats its values every 2 units of x, which is known as its period.
Consequently, the secant function has a period of 2 as well.
Therefore, f(x) = sec(x) has a period of 2. 2 is the answer.
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in the right triangle round to your nearest tenth. 18 15 X help please
Answers
The value οf the given angle x = 39.8 degree
What is Trigοnοmetric Functiοns?Trigοnοmetry uses six fundamental trigοnοmetric οperatiοns. Trigοnοmetric ratiοs describe these οperatiοns. The sine functiοn, cοsine functiοn, secant functiοn, cο-secant functiοn, tangent functiοn, and cο-tangent functiοn are the six fundamental trigοnοmetric functiοns.
The ratiο οf sides οf a right-angled triangle is the basis fοr trigοnοmetric functiοns and identities. Using trigοnοmetric fοrmulas, the sine, cοsine, tangent, secant, and cοtangent values are calculated fοr the perpendicular side, hypοtenuse, and base οf a right triangle.
In the figure tanx = p/h
[tex]x = tan^{-1(15/18)}[/tex]
x = 39.8
Hence the value οf the given angle x = 39.8 degree
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dy If x = a sin 2t, y = a(cos 2t + log tan t), then find dx
Answers
Step-by-step explanation:
We have:
x = a sin 2t
Differentiating with respect to t, we get:
dx/dt = 2a cos 2t
Next, we have:
y = a(cos 2t + log tan t)
Differentiating with respect to t, we get:
dy/dt = -2a sin 2t + (1/tan t)(1/ln 10)
Using the identity:
sin^2 t + cos^2 t = 1
We have:
sin 2t = 2sin t cos t
And:
cos 2t = cos^2 t - sin^2 t
cos 2t = 2cos^2 t - 1
Using these identities, we can rewrite dx/dt and dy/dt in terms of x and y:
dx/dt = 2a sqrt(1 - x^2/a^2)
dy/dt = -2a sqrt(1 - x^2/a^2) + (1/ln 10)(y - a cos 2t)
Therefore, we have:
dx/dy = dx/dt ÷ dy/dt
Substituting the expressions for dx/dt and dy/dt, we get:
dx/dy = (2a sqrt(1 - x^2/a^2)) / (-2a sqrt(1 - x^2/a^2) + (1/ln 10)(y - a cos 2t))
Simplifying, we get:
dx/dy = (-2 sqrt(1 - x^2/a^2)) / (2 sqrt(1 - x^2/a^2) - (1/ln 10)(y - a cos 2t))
STUDY SKILLS 7. State ONE way in which each of the examination writing skills below could effectively assist you when writing your examinations. 7.1 Read the question 7.2 Plan the response 7.3 Answer the questions (3 x 1) (3)
Answers
What are examination writing skills?
Examination writing skills refer to a set of abilities that are essential for effective and successful writing in an exam context.
These skills include reading the question carefully, planning your response, writing a clear and concise answer, using appropriate terminology, providing evidence to support your argument, and presenting your answer in a logical and organized manner.
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Complete question:
State one way in which each of the examination writing skills below could effectively assist you when writing your examinations:
Read the questionPlan the responseAnswer the questions2 bags of dog food. How many days will 3/4 last?
Answers
Answer:
3/4 of a bag of dog food will last 3 days.
A cylindrical aluminum can is being constructed to have a height h of 7 inches. If the can is to have a volume of 56 cubic inches, approximate its radius r. (Hint: V = 2²h)
The radius of the can is about _ inches.
(Type an integer or decimal rounded to two decimal places as needed)
Answers
When rounded to two decimal places, the radius of the can is approximately 1.6 inches.
What exactly is a cylinder?Surface fοrmed by a straight line mοving parallel tο a fixed straight line and intersecting a fixed planar clοsed curve. a sοlid οr surface defined by a cylinder and twο parallel planes that cut all οf its elements. See Vοlume Fοrmulas Table, particularly fοr the right circular cylinder.
The volume of a cylinder can be calculated using the following formula:
V = πr²h
where
V denotes volume,
r denotes radius, and
h denotes height.
The cylindrical aluminium can has a height of 7 inches and a volume of 56 cubic inches. We can calculate the radius using the volume of a cylinder formula:
V = πr²h
56 = πr²(7)
56 = (22/7)r²(7)
56 = 22r²
56/22 = r²
2.54 = r²
r = [tex]\sqrt{2.54}[/tex]
r ≈ 1.6
As a result, when rounded to two decimal places, the radius of the can is approximately 1.6 inches.
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Someone plezzz help me
Answers
Neither anushka nor lukas are correct as both of their calculations are wrong.
How are linear equations solved?Basic arithmetic operations like addition, subtraction, multiplication, and division are used to isolate the variable on one side of a linear equation and solve it. The objective is to make the equation as simple as possible until the variable can be identified and its value calculated. In order to solve a linear equation, you must first combine like terms to simplify the expressions on both sides of the problem.
Then, you can use inverse operations to get rid of constants and coefficients. The value of the variable can be ascertained by solving for it once it has been isolated. By looking at the coefficients and constants of the equation, it can be established if the equation has no solution or infinite solutions. In various disciplines, such as science, engineering, and finance, linear equations are used to represent connections between variables.
2/5b + 1 = -11
2/5b = -12
b= -12 x 5/2
b = -30
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Three dice are rolled. What is the probability of getting the sum as 13?
Answers
When three dices are rolled.
Total number of outcomes = = 216
Sum of 13 can be achieved in the following ways:
From the digits 6,4,3
So, there are 3! ways = = 6
From the digits 6,2,5
So, there are 3! ways = = 6
From the digits 5,4,4
So, there are ways = 3
From the digits 6,6,1
So, there are ways = 3
From the digits 3,5,5
So, there are ways = 3
So, total numbers whose sum is 13=
So, Probability = .
Therefore, the probability of getting sum as 21 on rolling three dice = .
Orlando skip the rope 125 times in 45 seconds write this as a unit rate
Answers
Answer:
g h hh h
Step-by-step explanation:
solve please and thank you it’ll help a lot. 15 points.
Answers
Parallelogram (Opposite sides have the same length). Parallelogram (Area is one-half the base times the height). Parallelogram (Opposite sides are parallel). Parallelogram (Angles can be right angles)
What is the assertion of the parallelogram?According to the parallelogram law, the sum of the squares of a parallelogram's four sides is equal to the sum of the squares of its two diagonals. It is essential for the parallelogram to have equal opposite sides in Euclidean geometry.
Are a parallelogram's opposing sides parallel?A parallelogram is a particular sort of polygon. It is a quadrilateral in which the opposite side pairs are parallel to one another. There are six crucial parallelogram characteristics to be aware of: Congruent sides are those when AB = DC.
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please help with finding the answer
Answers
The answer of the given question based on the transformation from its parent function the explanation part is given below and The equation of the function is y = -2(x+3)².
What is Function?In mathematics, function is relation between set of inputs and set of possible outputs with property that each input is related to exactly one output. It is rule that assigns to each input value exactly one output value. Functions can be represented in various ways, like algebraic expressions, graphs, tables, and words. They are used to model relationships between variables, to describe how one quantity depends on another, and to make predictions about future values. Functions are important concept in many fields of mathematics, as well as in science, engineering, economics, and other areas where quantitative analysis is used.
a. The graph appears to be a reflection of the parent function f(x) = x² over the x-axis followed by a vertical stretch by a factor of 2 and a horizontal shift to the left by 3 units.
b. The equation of the function is y = -2(x+3)².
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What is the solution for those?
And if you can please add the explanations
Answers
The required simplified forms are 3x - 1, 6x , 2x² - 10x , a + 2b , 15x - 8 , x² + 2x + 6 , x² - y² , 6x² - 22x.
What is Equation?the definition of an equation is a mathematical statement that demonstrates that two mathematical expressions are equal. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' symbol.
According to question:Simplified forms of the equation are
[tex]$c: 3(x-2)+5=3x-6+5=3x-1$[/tex]
[tex]$f: 2x(3-x)+x^2=6x-x^2+x^2=6x$[/tex]
[tex]$i: 7x^2-5x(x+2)=7x^2-5x^2-10x=2x^2-10x$[/tex]
[tex]$c: 2a-(a-2b)=2a-a+2b=a+2b$[/tex]
f: [tex]$3x-4(2-3x)=3x-8+12x=15x-8$[/tex]
[tex]$x(x+4)-2(x-3)=x^2+4x-2x+6=x^2+2x+6$[/tex]
[tex]$x(x+y)-y(x+y)=(x-y)(x+y)=x^2-y^2$[/tex]
[tex]$o: 4x(x-3)-2x(5-x)=4x^2-12x-10x+2x^2=6x^2-22x$[/tex]
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These two triangles are similar. What is the missing side measure?
X
5
O x = 9.5
0 x = 2
Ox=7
Ox=4
3.5
20
8
14
Answers
According to the given information, the missing side measure is 14.
What is triangle?
A triangle is a polygon with three sides, three angles, and three vertices. It is the simplest polygon and the fundamental shape used in geometry. A triangle can be classified based on the length of its sides and the measure of its angles.
To find the missing side measure, we can set up a proportion between the corresponding sides of the two similar triangles:
(x + 5) / x = 9.5 / 7
We can then solve for x by cross-multiplying:
7(x + 5) = 9.5x
7x + 35 = 9.5x
35 = 2.5x
x = 14
Therefore, the missing side measure is 14.
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