l
C
because its impossible for a number and its opposite to have the same sign because one has to be postive and the other negative
suppose sin(A)=-0.78. use the trig identity sin^2(A)+cos^2(A)=1 and the trig identity tan(A) = sin(A)/cos(A) to find tan(A) in quadrant IV. round to the ten-thousandth.
a. -0.2039
b. 1.3941
c. 0.8671
d. -1.2464
In quadrant IV, \(\cos(A)\) is positive. So
\(\sin^2(A) + \cos^2(A) = 1 \implies \cos(A) = \sqrt{1-\sin^2(A)} \approx 0.6258\)
Then by the definition of tangent,
\(\tan(A) = \dfrac{\sin(A)}{\cos(A)} \approx \dfrac{-0.78}{0.6258} \approx \boxed{-1.2465}\)
please help me with my maths work
The parts of the algebraic expression 3x - 2 are:
3 is the coefficient of x.
x is the variable
2 is the constant term
How to describe an algebraic expression?The algebraic Expression is given as:
3x - 2
Now, some parts of algebraic expressions are coefficients, variables and constant.
Coefficient is defined as the figure or number that is attached to the variable in an algebraic expression.
The variable is the letter that can change because different numbers are used for it.
The constant is the number that stands alone and doesn't change.
Thus, in 3x - 2:
3 is the coefficient of x.
x is the variable
2 is the constant term
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Your friend claim that if you rotate around the given axis, the composite solid will be made of a right circular cylinder and a cone.
a. Is your friend correct
b. Explain your reasoning
The friend is correct. Split the 2D figure as indicated in the diagram below. The rectangle on the left rotates to form the cylinder. The triangle rotates to form the cone. Think of these as like a revolving door that carves out a 3D shape. Or you could think of propellers.
please help
The lines shown below are parallel. If the green line has a slope of 3, what is
the slope of the red line?
A. -3
B. 3
C. 1/3
D. -1/3
Answer:
- 3
Step-by-step explanation:
ap ex
multiply:5a(2apower2-3)
Answer:
5a(2a²-3)10a³-15aHOPE IT HELPS.
STAY SAFE HEALTHY AND HAPPY.Suppose that an individual has a body fat percentage of 18.3% and weighs 136 pounds. How many pounds of his weight is made up of fat? Round the answer to the nearest tenth.
Based on the weight of the individual and the percentage of body fat, the amount of pounds that is made up of fat is 24.9 pounds
How to use percentages?When given the percentage of something like the body fat of an individual and you need to find the actual pounds of the person's weight that is body fat, you should multiply the percentage by the total weight of the person.
This means that to find the pounds of the individual's weight that is made up of fat you can use the formula:
= Percentage body fat x Weight of individual
Solving gives:
= 18.3% x 136 pounds
= 0.183 x 136
= 24.888
= 24.9 pounds
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3- Find all values of Z such that e² = 2+i√3
The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.
To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.
Given: 2 + i√3
To find r, we can use the modulus formula:
r = sqrt(a^2 + b^2)
= sqrt(2^2 + (√3)^2)
= sqrt(4 + 3)
= sqrt(7)
To find θ, we can use the argument formula:
θ = arctan(b/a)
= arctan(√3/2)
= π/3
So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).
Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.
ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik
Therefore, the values of Z are:
Z = ln(2 + i√3) + 2πik, where k is an integer.
The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.
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a data analyst is working with the world happiness data in tableau. what tool do they use to select the area on the map representing finland? 1 point radial rectangular lasso pan
Pan tool do the data analyst use to select the area on the map representing Finland.
A data analyst is working with the world happiness data in table. To use Pan tool to select the area on the map representing Finland.
A data professional examines data to uncover critical insights about a company's consumers and how the data may be utilized to address problems. They also share this information with corporate executives and other stakeholders.
Pan allows us to shift the map to focus on it or present the areas in the way we wish. Simply pick the Pan Option and move the map around to suit your needs. Alternatively, you may move the map by holding down the Shift key.
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PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT
Answer:
Hypotenuse: 20√2
Acute Angle measurements: 45
Step-by-step explanation:
Note that the two leg sides are both 20 measurements, suggesting that it is an isosceles triangle.
By definition of a isosceles triangle, the angles will be 45-45-90, and the sides will follow the 1-1-√2 rule, in which the 1 stands for the legs, and the √2 stands for the hypotenuse.
Note that the leg side measures 20. Multiply:
20 * √2 = 20√2.
Hypotenuse: 20√2
Acute Angle measurements: 45
telephone poll administered by a computer randomly generating numbers to call, found that 68% of Americans in the sample of 2000 were in favor of legalizing recreational marijuana use. Thus, almost 70% of Americans favor legalizing recreation marijuana use.
The method that was used to arrive at the approximate population probability is called; a reasonable statistical generalization
What is statistics generalization?Statistical generalization is a concept that involves inferring the results from a sample and applying it to a population. Carrying out this means that the sample must be selected randomly and be representative of the population.
Now, in this case, we see that the sample gave a probability of 68% to represent those were in favor of legalizing recreational marijuana use.
Now, since the conclusion was approximated to 70% to reflect the probability of the population then we can say that a reasonable statistical generalization was utilized.
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78^(4/9) in radical form
Answer:
\sqrt[9]{(78)} {}^{4}
9
(78)
4
I am the Real Da Baby
LESS GOOO!
Answer:
yuuhhhhh
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
I am da real baby :) lol
3 + root 3 *2 +root 2
Answer:
6 + 3\(\sqrt{2}\) + 2\(\sqrt{3}\) + \(\sqrt{6}\)
Step-by-step explanation:
Using the rule of radicals
\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)
Given
(3 + \(\sqrt{3}\) )(2 + \(\sqrt{2}\) )
Each term in the second factor is multiplied by each term in the first factor, that is
3(2 + \(\sqrt{2}\) ) + \(\sqrt{3}\) (2 + \(\sqrt{2}\) ) ← distribute both parenthesis
= 6 + 3\(\sqrt{2}\) + 2\(\sqrt{3}\) + \(\sqrt{6}\)
If S is a subset of R that contains at least two points
and has the property if x, y in S and x < y1; then [x,y] ⊆ S;
then S is an interval. explain why x, y exist in S.
We have that a and c are in S, but [a,c] is not a subset of S, which contradicts the given property. Therefore, S must contain all the points between a and b, and is therefore an interval.
To show that x, y exist in S, we can use proof by contradiction. Suppose that x, y do not exist in S. This would mean that either x or y is not in S, which contradicts the fact that S contains at least two points. Therefore, x and y must both be in S.
Now, to show that S is an interval, we need to show that it contains all the points between any two points in S. Let a and b be two points in S, with a < b. By the property given in the question, we know that [a,b] is a subset of S.
To show that S contains all the points between a and b, suppose there exists some c between a and b that is not in S. Without loss of generality, assume that a < c < b. Then, we have that a and c are in S, but [a,c] is not a subset of S, which contradicts the given property. Therefore, S must contain all the points between a and b, and is therefore an interval.
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Use the matrix of transition probabilities P and initial state matrix X_0 to find the state matrices X_1, X_2, and X_3. P = [0.6 0.2 0.1 0.3 0.7 0.1 0.1 0.1 0.8], X_0 = [0.1 0.2 0.7] X_1 = [] X_2 = [] X_1 = []
To find the state matrices X_1, X_2, and X_3, we can use the transition probability matrix P and the initial state matrix X_0.
P = [0.6 0.2 0.1
0.3 0.7 0.1
0.1 0.1 0.8]
X_0 = [0.1 0.2 0.7]
To calculate X_1, we multiply the transition probability matrix P with the initial state matrix X_0:
X_1 = P * X_0
To calculate X_2, we multiply P with X_1:
X_2 = P * X_1
Similarly, to calculate X_3, we multiply P with X_2:
X_3 = P * X_2
Performing these matrix multiplications will give us the state matrices X_1, X_2, and X_3.
Note: Since the provided matrix P has a dimension of 3x3 and the initial state matrix X_0 has a dimension of 1x3, the resulting state matrices X_1, X_2, and X_3 will also have a dimension of 1x3.
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To find the state matrices X₁, X₂, and X₃ given the transition probabilities matrix P and the initial state matrix X₀, we can apply matrix multiplication repeatedly.
P = [0.6 0.2 0.1
0.3 0.7 0.1
0.1 0.1 0.8]
X₀ = [0.1
0.2
0.7]
To find X₁, we multiply P with X₀:
X₁ = P * X₀
To find X₂, we multiply P with X₁:
X₂ = P * X₁ = P * (P * X₀)
To find X₃, we multiply P with X₂:
X₃ = P * X₂ = P * (P * (P * X₀))
Performing the matrix multiplications, we get:
X₁ = [0.6 0.2 0.1] * [0.1
0.2
0.7] = [0.06 + 0.04 + 0.07
0.03 + 0.14 + 0.07
0.01 + 0.02 + 0.56]
X₁ = [0.17
0.24
0.59]
X₂ = [0.6 0.2 0.1] * [0.17
0.24
0.59] = [0.048 + 0.048 + 0.059
0.023 + 0.168 + 0.059
0.007 + 0.048 + 0.472]
X₂ = [0.155
0.25
0.527]
X₃ = [0.6 0.2 0.1] * [0.155
0.25
0.527] = [0.042 + 0.031 + 0.053
0.021 + 0.175 + 0.053
0.006 + 0.05 + 0.422]
X₃ = [0.126
0.249
0.478]
Therefore, the state matrices are:
X₁ = [0.17
0.24
0.59]
X₂ = [0.155
0.25
0.527]
X₃ = [0.126
0.249
0.478]
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A theater has 1,464 seats. The seats are arranged into 62 equal-sized "regular" sections plus one "premium" front-row section. How many seats are in a regular section? How many seats are in the premium front-row section? Explain.
In the theater, that have 1,464 seats.
1426 seats are in "regular" sections
38 seats are "premium" front-row section
How to find the number of seats in the "regular" sectionsThe seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient
The division is as follows
1464 / 62
= 23 19/31
The number of seats in the regular section is 23 * 62 = 1426
The remainder will be arranged in premium front row
using equivalent fractions
19 / 31 = 38 / 62
the remainder is 38 and this is the seat for the premium front row section
OR 1464 - 1426 = 38 seats
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What doe the expreion 3x4y repreent?
A. The total number of baket of tomatoe and bag of onion the cutomer purchaed
B. The cot per baket for the tomatoe plu the cot per bag for the onion
C. The total cot, in dollar, for the cutomer’ purchae
D. The number of baket of tomatoe and the number of bag of onion that can be purchaed for $7
The expression 3x+4y represents 3 bags of $3 tomatoes and 4 bags of $4 onions.
What is an expression?
The combination of numerical variables and operations expressed by the addition, subtraction, multiplication, and division signs constitutes a mathematical expression.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented using mathematical symbols. They can also be used to indicate other characteristics of logical grammar, such as the operation order.
Given that a basket of tomatoes costs $3, whereas an onion package costs $4. A customer buys y sacks of onions and x baskets of tomatoes.
Three bags of $3 tomatoes and four bags of $4 onions are denoted by the equation 3x+4y.
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Solve P = 2l + 2w for w ( perimeter formula )
Answer:
w = P/2 − L
Step-by-step explanation:
3х +2у = -5
Чx - Зу = 16
3х +2у = -5 Xx - Pe = 16
7^2 times 7^8 / 7^4 =7^a /7^4 =7^b what does a and b equal ?
Answer:
a = 10
b = 6
Step-by-step explanation:
(7^2 * 7^8) / 7^4 = 7^a / 7^4
7^2 * 7^8 = 7^10
7^10 / 7^4 = 7^a / 7^4
7^10 = 7^a
a = 10
7^a / 7^4 = 7^b
7^10 / 7^4 = 7^10-4
7^6 = 7^b
b = 6
Express the following linear equations in the form ax+by+c= 0 and indicate the values of a, b and c in each case: (1) y = x/5
Answer:
Did the question get cut off?
a = -(1/5)
b = 1
c = 0
Step-by-step explanation:
y = x/5 may be rewritten as y = (1/5)x
y = (1/5)x
y - (1/5)x = 0
- (1/5)x + y + 0 = 0
ax + by + c = 0
a = -(1/5)
b = 1
c = 0
A cell phone tower casts a shadow 150 feet long. A tree nearby that is 30 feet tall casts a shadow that is 20 feet long. How tall is the cell phone tower
Answer:
\(90,000^{3}\) (90,000 cubed)
Step-by-step explanation:
150 x 30 x 20
The fastest speed recorded forerunner 27 mph. This is 20% of the fastest speed for a water skier find the record for a water skier.
Answer: 135
Step-by-step explanation: We know that the forerunner is 1/5 the speed of the water skier as 20/100 is 1/5. Now if we "reverse" this we can multiply 27 by 5 to find the speed of the water skier, this is 135 which is the speed of the water skier. Hope this helped :)
When a number is increased by 9.5%, the result is 58. What is the original number to the nearest tenth?
(I've seen other questions like this, but the answer is wrong. It's not 50 or 52.49 or 52.5.)
Answer:
53
Step-by-step explanation:
58÷1.095= 53 is the answer
Answer:
5.03196347032
Step-by-step explanation:
We do:
.095x+x=58
1.095x=58
x=52.96
52.96 is a approximation and when you do the math and see what 9.5 of 52.96 plus 52.96 is you get 57.9912 which is super close to 8 The exact answer is x = 5.03196347032
Which statements about the line that passes through (−2, 0) and (2, −4) aretrue? Select all correct statements. The slope of the line is 1. The line intersects the y-axis at (0, −2). The equation of the line is y = −x − 2 The line intersects the x-axis at (−2,
The correct options for the line are-
B. The line intersects the y-axis at (0, −2).C. The equation of the line is y = −x − 2.D. The line intersects the x-axis at (−2, 0).Define the equation of the line?The formula for a straight line reads y=mx+c where c is the height from which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.Coordinate are: (−2, 0) and (2, −4)
Slope m = y2 - y1 / x2 - x1
m = (-4 + 0)/(2 + 2)
m = -4/4 = -1
Slope is -1 , option A incorrect.
For the y-intercept
Use point (-2, 0) and slope m = -1
0 = -1(-2) + b
b = -2
As, y-intercept is -2.
Option B correct.
Find equation of the line.
y = mx+ b
y = -x + (-2)
y = -x - 2
Thus, equation of the line is y = −x − 2.
Option C is also correct.
Find the x-intercept.
if y = 0
0 = -x - 2
x = -2
Thus, line intersects the x-axis at (−2, 0).
The option D is also correct.
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The complete question is-
Which statements about the line that passes through (−2, 0) and (2, −4) are true? Select all that apply.
A. The slope of the line is 1.
B. The line intersects the y-axis at (0, −2).
C. The equation of the line is y = −x − 2.
D. The line intersects the x-axis at (−2, 0).
Serena’s father tipped a taxi driver $5 for a $25 ride. What was the percent of the tip that he paid?
The percentage of the tip that Serena's father paid was 20%.
What is a percentage?Mathematically, a percentage is a numerical ratio, usually expressed as a fraction of 100 and denoted by the percent sign (%).
Percentages show the proportional relationship between two fractions, like proportions and ratios.
The amount of the tip = $5
The cost of the ride = $25
The total amount paid by Serena's father = $30 ($5 + $25)
The percentage of tip to the ride's cost = The amount of the tip divided by the cost of the ride.
= 20% ($5/$25 x 100)
Thus, in percentage terms, the amount that Serena's father tipped the taxi driver is 20% of the ride's actual cost.
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Personal Math TrainerLesson 5.3 - Hon95161718101121314Luis wants to buy a scateboard that usually sells for $79.57. All merchandise is discounted by 12%. What isthe total cost of the skateboard if Luis has to pay a state sales tax of 8 25%. Round your intermediatecalculations and answer to the nearest centThe total cost of the scateboard is sl
The total cost of skateboard after tax is removed = $87.53
Explanation:Initial cost of scateboard = $79.57
Discount = 12%
Discounted price = Initial cost of scateboard × 12%
= 79.57 × 0.12
Discounted price = 9.5484 = $9.55
Note: Discount is subtracted while sales tax is added to the cost of item
The amount left after discount is removed before tax= Initial cost of scateboard - Discounted price
The amount left after discount is removed = $79.57 - $9.55
The amount left after discount is removed = $70.02
Sales tax = 25%
Amount of sales tax = The amount left after discount is removed × 25%
= $70.02 × 0.25 = 17.505
Amount of sales tax = $17.51
The total cost of skateboard after tax is removed = The amount left after discount is removed + Amount of sales tax
The total cost of skateboard after tax is removed = $70.02 + $17.51
The total cost of skateboard after tax is removed = $87.53
In triangle def, if m∠d = (2x)°, m∠e = (2x − 4)°, and m∠f = (x 9)°, what is the value of x? 35 37 44 71
Option A is correct, the required simplified value of the x is given as 35.
In triangle DEF, if m∠D = (2x)°, m∠E = (2x − 4)°, and m∠F = (x + 9)°.
for the triangle sum of the interior angles is equal to 180°.
∠D + ∠E + ∠F = 180
2x + 2x - 4 + x + 9 = 180
5x + 5 = 180
5x = 175
x = 35
Thus, the required simplified value of the x is given as 35.
The sum of the measures of the interior angles of a triangle in Euclidean space is continually 180 stages. This reality is equal to Euclid's parallel postulate. This permits the determination of the degree of the 1/3 perspective of any triangle, given the measure of angles. An exterior perspective of a triangle is an attitude that is a linear pair (and subsequently supplementary) to an indoor angle.
The degree of an exterior perspective of a triangle is the same as the sum of the measures of the 2 indoor angles that aren't adjoining to it; this is the outside perspective theorem. The sum of the measures of the 3 exterior angles (one for every vertex) of any triangle is 360 degrees.
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Mr. Salinger has 8 packs of seeds. The line plot shows the weight of each pack. Mr. Salinger wants to redistribute the seeds in such a way that each pack weighs the same. What will be the weight of each pack?
Each pack should weigh 11.5 oz when the seeds are redistributed equally.
Since Mr. Salinger wants to redistribute the seeds in such a way that each pack weighs the same, he needs to find the common weight of all the packs. To do this, he can find the total weight of all the packs and divide it by the number of packs.
Using the line plot, we can see that the weights of the 8 packs are:
12 oz
8 oz
10 oz
10 oz
12 oz
14 oz
10 oz
16 oz
To find the total weight of all the packs, we can add these weights together:
12 + 8 + 10 + 10 + 12 + 14 + 10 + 16 = 92 oz
So the total weight of all the packs is 92 oz.
To find the weight of each pack, we need to divide the total weight by the number of packs:
92 ÷ 8 = 11.5 oz
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The results of a paired-difference test are shown below to the right. d = 5.6
a. Construct and interpret a 99% confidence interval estimate for the paired difference Sd =0.25 in mean values.
b. Construct and interpret a 90% confidence interval estimate for the paired difference n=16 in mean values_ (Round to two decimal places as needed:) Choose the correct answer below:
OA This interval will contain the true population mean 90% of the time_
OB. There is a 90% chance that the true population mean is contained in the interval.
Oc: If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean: 0
D. Approximately 90% of the differences will be contained in the interval.
If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.
When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.
This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.
The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.
In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.
It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.
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