Answer:
Step-by-step explanation:
a) 10/18 · 9/17
5/9 · 9/17
5/17
b) 8/18 · 7/17
4/9 · 7/17
28/153
c) 10/18 · 8/17
5/9 · 8/17
40/153
Answer:
[tex]\textsf{a)} \quad \dfrac{5}{17}=29.4\%[/tex]
[tex]\textsf{b)} \quad \dfrac{28}{153}=18.3\%[/tex]
[tex]\textsf{c)} \quad \dfrac{40}{153}=26.1\%[/tex]
Step-by-step explanation:
Bag of 18 fruit drop sweets:
10 apple flavoured8 blackberry flavoured[tex]\boxed{\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}}[/tex]
Part (a)The probability of the first sweet chosen being apple flavoured is:
[tex]\implies \sf P(apple)=\dfrac{10}{18}[/tex]
Now there are 9 apple flavoured sweets and a total of 17 sweets remaining, so the probability of choosing a second apple flavoured sweet is:
[tex]\implies \sf P(apple)=\dfrac{9}{17}[/tex]
Therefore, the probability of both sweets being apple flavoured is:
[tex]\implies \sf P(apple)\;and\;P(apple)= \dfrac{10}{18} \times \dfrac{9}{17}=\dfrac{5}{17}[/tex]
Part (b)The probability of the first sweet chosen being blackberry flavoured is:
[tex]\implies \sf P(blackberry )=\dfrac{8}{18}[/tex]
Now there are 7 blackberry flavoured sweets and a total of 17 sweets remaining, so the probability of choosing a second blackberry flavoured sweet is:
[tex]\implies \sf P(blackberry )=\dfrac{7}{17}[/tex]
Therefore, the probability of both sweets being blackberry flavoured is:
[tex]\implies \sf P(blackberry )\;and\;P(blackberry )= \dfrac{8}{18} \times \dfrac{7}{17}=\dfrac{28}{153}[/tex]
Part (c)The probability of the first sweet chosen being apple flavoured is:
[tex]\implies \sf P(apple)=\dfrac{10}{18}[/tex]
Now there are 9 apple flavoured sweets, 8 blackberry sweets, and a total of 17 sweets remaining, so the probability of choosing a blackberry flavoured sweet is:
[tex]\implies \sf P(blackberry)=\dfrac{8}{17}[/tex]
Therefore, the probability of the first sweet being apple flavoured and the second sweet being blackberry flavoured is:
[tex]\implies \sf P(apple)\;and\;P(blackberry)= \dfrac{10}{18} \times \dfrac{8}{17}=\dfrac{40}{153}[/tex]
find the surface area of that part of the plane that lies inside the elliptic cylinder
The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder [tex]\frac{x^2}{25} +\frac{y^2}{9}[/tex] is 15π√150 and this can be determined by using the given data.
We are given the two equations are:
10x + 7y + z = 4---------(1)
[tex]\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)[/tex]
equation(1) is written as
z = 4 - 10x - 7y-----------(3)
The surface area is given by the equation:
A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)
compare equation(4) with equation(3) we get the values of ∂f/∂x and
∂f/∂y
∂f/∂x = -10
∂f/∂y = -7
substitute these values in equation(4)
A(S) = ∫∫√[(-10)² + (-7)² + 1]dA
A(S) = ∫∫√[100 + 49 + 1]dA
A(S) = ∫∫√[150]dA
A(S) = √150 ∫∫dA
Where ∫∫dA is the elliptical cylinder
From the general form of an area enclosed by an ellipse with the formula;
comparing x²/a² + y²/b² = 1 with x²/25 + y²/9 = 1, from that we get the values of a and b
a = 5 and b = 3
So, the area of the elliptical cylinder = πab
Thus;
A(S) = √150 × π(5 × 3)
A(S) = 15π√150
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find the area of the region enclosed by one loop of the curve. r = sin(4θ)
π/16 is the area enclosed by the curve r= sin(4θ)
The given curve is polar curve and hence the area of the polar curve is given by:
Let A be the area of the curve so,
A = [tex]\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta[/tex]
where a and b is the boundary at which r=0
so after equation r=0
sin(4θ) =0
=> sin(4θ) =0
=> 4θ = 0,π
=> θ = 0, π/4
so a=0 , b= π/4
now
A = [tex]\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta[/tex] ------(i)
so [tex]r^2[/tex] = (sin(4θ))^2
=> [tex]sin^2[/tex]( 4θ )
ans we know that
cos(2α) = 1 - [tex]2sin^2[/tex]2 α
so [tex]sin^2[/tex]= (1- cos(8θ) )/2
putting the value of r in the equation (i) we get :-
A = [tex]\int\limits^b_a {\frac{1}{4} *(1-cos8\theta) } \, d\theta[/tex]
=> 1/4* [tex]\int\limits^b_a {(1-cos8\theta) } \, d\theta[/tex]
here a=0 and b=π/4
after putting the value and solving the integral
A = π/16
so A is the area enclosed by r=sin(4θ) is π/16
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In Exercises 3 and 4, determine whether the table represents a linear or non linear function. Explain.
Graph 3 - linear
Graph 4 - linear
The line does not touch the same x more than once.
in a regression with 7 predictors and 62 observations, degrees of freedom for a t test for each coefficient would use how many degrees of freedom?
in a regression with 7 predictors and 62 observations,The degrees of freedom for a t-test for each coefficient would use 55 degrees of freedom (df = 62 - 7 = 55).
The degrees of freedom for a t-test for each coefficient is calculated by subtracting the number of predictors (7) from the number of observations (62) in a regression with 7 predictors and 62 observations,. This leaves us with 55 degrees of freedom (df = 62 - 7 = 55). Degrees of freedom measure the number of observations that are free to vary in estimating a parameter. In other words, they are the number of observations that are used to generate the estimate. In this case, there are 55 observations that can be used to estimate each coefficient.
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certain standardized math exam have a mean of 100 and a standard deviation of 60. of a sample of 36 students who take this exam, what percent could you expect to score between 70 and 90
It is about 24% of the students could be expected to score between 70 and 90 on the exam.
To find the percentage of students who score between 70 and 90 on the exam, we need to determine what proportion of the exam scores falls within that range. We can do this by converting the scores to standard units and using a table of the standard normal distribution.
First, we need to convert the scores to standard units. We do this by subtracting the mean of 100 from each score and then dividing by the standard deviation of 60. For a score of 70, the standard units would be (70 - 100)/60 = -1.67. For a score of 90, the standard units would be (90 - 100)/60 = -0.67.
Next, we can use a table of the standard normal distribution to find the proportion of scores that fall within that range. For example, a table of the standard normal distribution might tell us that the proportion of scores between -1.67 and -0.67 standard units is about 0.24
Percentage of scores within range = 8.64/36 * 100% = 24%
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When ordering the Kid' Lunch at Burger Univere, the cutomer mut chooe a ize, whether or not to have cheee, a ide order, and a type of fruit drink. Here are the poibilitie for each choice. Choice Poibilitie Size Small, Large Cheee? With cheee, Without cheee Side order Frie, Onion ring Fruit drink Orange, Grape, Cherry, Lemonade How many Kid' Lunche are poible?
The fundamental counting principal there will be 2*2*2*4*2 = 64 possible lunches.
What is fundamental counting principal ?
According to this concept, the sum of the outcomes of two or more independent events is equal to the product of the outcomes of each individual event. For instance, a youngster picking from a menu of six ice cream flavors and three types of cones will have a total of 6 x 3 = 18 options.
Here size has two types say 2
Here cheese has two types say 2
Here type of bun has two types say 2
Here side order has four types say 4
Here fruit drink has two types say 2
So, according to the fundamental counting principal there will be 2*2*2*4*2 = 64 possible lunches.
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help will give brainliest
Answer:
Square, rhombus, parralelogram
Step-by-step explanation:
Bro too much to type trust
The table shows the average temperature, in degrees Celsius, in Jacob's city over a period of five months: Month 1 2 3 4 5 Temperature 5 7.2 9.4 11.6 13.8 Did the temperature in Jacob's city increase linearly or exponentially? Linearly, because the table shows a constant percentage increase in temperature each month Exponentially, because the table shows a constant percentage increase in temperature each month Linearly, because the table shows that the temperature increased by the same amount each month Exponentially, because the table shows that the temperature increased by the same amount each month
Linearly because the table shows a constant percentage increase in temperature each month.
What is a linear graph?A graph is a diagram that depicts the relationship or connection between two or more quantities. Linear implies straight. The x and y coordinates of two points are connected by a straight line, or straight graph, to form a linear graph. Everyday life involves the utilization of linear relations, which can be graphed in a plane to produce a straight line.
Calculation:In the first month it is 5
In the second month it is 7.2 so the increment in temperature is 7.2 - 5 = 2.2
In the third month it is 9.4 and the increment in temperature is 9.4 - 7.2 = 2.2
In the fourth month it is 11.6 and the increment in temperatue is 11.6 - 9.4 = 2.2
In the fifth month it is 13.8 and the increment in temperature is 13.8 - 11.6 = 2.2
So the increment is happening linearly
The equation which depicts this is y = (2.2)x+5 where x is the no.of month.
Linearly because the table shows a constant percentage increase in temperature each month.
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This graph represents-3x+y=-4.
Which ordered pair is in the solution set of -3x + y 2 -4?
(3-5)
O (1,5)
O (5, -1)
O (5, 1)
3
2
1
-5-4-3-2-1₁-
-3
fr
2 3 4 5 6
X
Answer:
(1,5)
Step-by-step explanation:
when x = 1
[tex]y \geq -4 + 3 (1)\\y \geq -1\\[/tex]
when x = 5
[tex]y \geq -4 + 3(5)\\y \geq 11\\[/tex]
Only (1,5) pair is a solution.
What is the equation of the line to get the tie fighter?
The equation of the line is y = 13/6x - 5
How to determine the equation of the line?From the question, we have the following parameters that can be used in our computation:
Points: (0, -5) and (6, 8)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
This means that
c = -5
So, we have
y = mx - 5
Also, we have
(x, y) = (6, 8)
This means that
8 = m x 6 - 5
So, we have
6m = 13
This gives
m = 13/6
So, we have
y = 13/6x - 5
Hence, the equation is y = 13/6x - 5
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What is the approximate perimeter of the triangle? use the law of sines to find the answer. 4.6 units 5.7 units 6.9 units 9.2 units
Answer:
d is the correct answer to your question
Answer:
9.2 units
Step-by-step explanation:
cause the last guy is right...
how do we decide whether to use a t test or an analysis of variance (anova) to analyze the data from an experiment?
The best way to analyze their data for significance is to Conduct a two-way variable analysis.
As we can see, there is a 2x3 factorial design. Thus, we know that there will be a two level or two way analysis of variables, which is referred to as two way variables analysis. Factorial design is a research method that allows for the inquiry of a main and interaction effects of two or more independent variables on one or more outcome variables (s).
It has been argued that factorial designs represent the true beginning of modern behavioral research and have resulted in a significant paradigm shift in how social scientists conceptualize their research questions and produce objective results (Kerlinger & Lee, 2000).
Factorial design is an experimental methodology that goes beyond standard single-variable experimentation. Previously, social scientists were fixated on single independent variable experiments, foreshadowing the significance of extraneous variables that can attenuate or diminish research findings.
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Use the net to find the lateral area of the cylinder.
Give your answer in terms of z.
252 ft²
42 ft²
84x ft²
7xft²
lateral area of the cylinder = 2πrh
What is lateral area of the cylinder ?
The lateral area of a cylinder is the area on the outside, meaning if you would cut open a cylinder longitudinally, and folded it open, the rectangle that remains is the lateral area of the cylinder.
Area of rectangle = Lateral area
length is the circumference of the circle = 2πr
and length can be consider as h.
Hence, lateral area of the cylinder = 2πrh.
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the 6-kg smooth cylinder is supported by the spring having a stiffness of kab = 120 n/m
When a spring of stiffness K = 120N/m supporting a smooth cylinder of mass 6kg is subjected to a force of 60N, the velocity it moves downward when compressed a distance of 0.2m is 1.79m/s.
Therefore, the answer is 1.79m/s.
The compression of spring, say x₀ at equilibrium position can be determined by
F = Kx₀
mg = Kx₀
6 × 9.81 = 120 × x₀
Therefore x₀ = 0.4905m
When force F = 60N is applied the spring is compressed more and let new compression of spring be x₁. Then when string compresses additional s distance
x₁ = x₀ + s
Then spring force, F₁ = Kx₁
F₁ = 120 × (0.4905 + s)
F₁ = 58.86 + 120s
Let the cylinder accelerates downward at a m/s², then
60N + mg = ma + F₁
60 + 6×9.81 = 6a + 58.86 + 120s
a = (10 - 20s) m/s²
dv/dt = 10 - 20s
We know that ds/dt = v, that is 1/dt = v/ds
Therefore, vdv/ds = 10 - 20s
vdv = (10 - 20s)ds
Integrating both sides
v²/2 = 10s - 10s²
v = √(20s - 20s²)
At s = 0.2m,
v = √(20×0.2 - 20×0.2²)
v = 1.79m/s
--The question is incomplete, answering to the question below--
"The 6kg smooth cylinder is supported by the spring having a stiffness of kAB = 120 N/m. Determine the velocity of the cylinder when it moves downward s = .2m from its equilibrium position, which is caused by the application of the force F = 60 N. (The 60 N force is not present in the equilibrium position.)"
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What is the complete factorization of the polynomial below?
x³ + 2x² + 4x+8
OA. (x-2)(x+2)(x-2)
B. (x-2)(x+2)(x+21)
OC. (x+2)(x+2)(x+2)
OD. (x+2)(x+2)(x-2)
The complete factorization of the polynomial x³ + 2x² + 4x + 8 is
(x² + 4)(x + 2).
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, A cubic polynomial x³ + 2x² + 4x + 8.
Now, Factoring this polynomial,
= x³ + 4x + 2x² + 8.
= x(x² + 4) + 2(x² + 4).
= (x² + 4)(x + 2).
Now, (x² + 4) can not be factored anymore.
So, The factor of x³ + 2x² + 4x + 8 is (x² + 4)(x + 2).
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which of the following is an equation of the line that is parallel to the x axis and contains (-4,2)
Answer:-2,0
Step-by-step explanation:
you have to ether multiply or divide by an easy number
A parabola can be drawn given a focus of (6, 2) and a directrix of y = - 8 Write the equation of the parabola in any form.
The equation of the Parabola is (y - 6 )² = 28 (x + 1) of the given focus and directrix.
Given directrix x = -8
we know that x = h - a = -8
h -a = -8 ...(i)
Given Focus = ( 6,2)
we know that the Focus of the Parabola
( h + a , k ) = (6,2)
comparing h + a = 6 ...(ii)
k = 2
solving (i) and (ii) and adding
h - a + h+ a = -8 +6
2 h = -2
h = -1
Put h = 6 in equation (i)
⇒ h - a = -8
⇒ -1 + 8 = a
⇒ a = 7
The equation of the Parabola ( h,k) = (-1 , 7)
( y - k )² = 4 a ( x - h )
(y - 7 )² = 4 (7) (x -(-1))
(y - 6 )² = 28 (x + 1)
Hence, the equation of the Parabola is (y - 6 )² = 28 (x + 1) of the given focus and directrix.
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ALGEBRA PLEASE HELP ASAPPPPP PLEASEEE
Belinda is thinking about buying a house for $286,000. The table below shows the projected value of two different houses for three years:
Number of years 1 2 3
House 1 (value in dollars) 294,580 303,417.40 312,519.92
House 2 (value in dollars) 295,000 304,000 313,000
Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)
Part C: Belinda wants to purchase a house that would have the greatest value in 25 years. Will there be any significant difference in the value of either house after 25 years? Explain your answer, and show the value of each house after 25 years. (4 points)
Answer:
putting more than question is against app rules but alr
Part A: The value of each of the houses after a fixed number of years can be described by a linear function. This is because the value of each house increases at a constant rate, with the same amount added each year.
Part B: The function for House 1 could be written as f(x) = 294,580 + 8,937.6x, and the function for House 2 could be written as f(x) = 295,000 + 9,000x.
Part C: After 25 years, the value of House 1 will be approximately $750,834.40, and the value of House 2 will be approximately $753,000. The difference in value between the two houses after 25 years will be approximately $2,165.60, which is not a significant difference in the overall value of the houses. Therefore, either house would be a good choice for Belinda to purchase.
find the first three taylor polynomials of the function at the indicated number. f(x) = e−x; x = 0
The first three taylor polynomials of the function f(x) = e⁻ˣ at x = 0 is 1, 1 - x and 1 - x + x²/ 2.
Taylor polynomial of degree n for a function f(x) which is infinitely differentiable at a is
f(a) + f'(a)×(x - a)/ 1! + f''(a)×(x - a)²/ 2! + ... + (f⁽ⁿ⁾(a)×(x - a)ⁿ/ n! = ∑(i = 1 to n)(f⁽i⁾(a)×(x - a)^{i}/ i!)
where f⁽i⁾(a) denotes the ith derivative of f(x) at a
The first, second and nth derivative of the function f(x) = e⁻ˣ is
f'(x) = -e⁻ˣ
f''(x) = e⁻ˣ
f⁽ⁿ⁾x = (-1)ⁿe⁻ˣ
First Taylor polynomial, n = 1, here f(x) = e⁻ˣ and a = 0.
P₁(x) = f(0) = e⁻⁰ = 1
Similarly
P₂(x) = f(0) + f'(0)(x - 0)/ 1!
P₂(x) = 1 + -1×e⁻⁰×(x - 0)
P₂(x) = 1 - x
P₃(x) = f(0) + f'(0)(x - 0)/ 1! + f''(0)(x - 0)²/ 2!
P₃(x) = 1 - x + e⁻⁰×(x - 0)²/ 2
P₃(x) = 1 - x + x²/ 2
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Help! I can’t seem to figure it out.
Find angle VT =
Answer:
18
Step-by-step explanation:
this seems to be an equilateral triangle so all sides are equal
5r+8=9r
-5r. -5r
8=4r
/4 /4
2=r
now fill it in
5(2)+8
10+8
18
hopes this helps
what is the value of the t score for a 99.8% confidence interval if we take a sample of size 15?
The value of the Confidence interval will be 3.787
The number of standard deviations from the t-mean distribution is equal to a t-score. The test statistic used in t-tests and regression testing is the t-score. When the data follow a t-distribution, it may also be used to represent how distant an observation is from the mean.
The t-score formula is written as follows:t=¯¯¯x−μS√n t = x ¯ − μ S n , where ¯¯¯x, is the sample mean, is the population mean, S n is the sample size, and x is the standard deviation of the sample. Square root n must be included in the formula.
using tables of t distribution we have
t-score for 99.8%
Confidence Interval (alpha) =1-0.998=0.002
Sample size (n)=15
df=n-1=14
t-score for a 99.8% Confidence Interval will be
t(0.002,14)=3.787
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Find the area of the greatest rectangle that can be inscribed in an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1.
2ab is the area of the greatest rectangle that can be inscribed in an ecllipse [tex]\frac{x^2}{a^2} + \frac{x^2}{b^2} = 1[/tex].
The reactangle with the greatest area that can be inscribed in an ecllipse is symmetry with respect to x axis .
we know that (a cos θ ,bsin θ) is the general point on the ecllipse so the others points is (- a cos θ ,bsin θ) , (a cos θ ,-bsin θ) and (-a cos θ ,- bsin θ)
so the length of the rectangle is 2a cos θ and the breadth of the rectangle is 2b sin θ
to area of rectangle = length * breadth
=> 2a cos θ * 2b sin θ
=>4ab sin θ *cos θ
=> 4ab sin 2θ
so area of rectangle (A) = 4ab sin 2θ -----(i)
so get the maximum area dA/dθ =0
=> 4ab *2 cos 2θ =0
=> 8ab cos 2θ=0
=> cos 2θ =0
=> 2θ = π/2
=> θ =π/4
putting the value of θ in equation (i) we get
A = 4ab cos π/4 *sin π/4
A = 4ab *[tex]\frac{1}{\sqrt{2} }[/tex] *[tex]\frac{1}{\sqrt{2} }[/tex]
=> 2ab
so rectangle with largest area inside the ecllipse = 2ab
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Which of the following is an example of the identity property of 1?
O 0+8 = 8
0 (1)=2
O-2+3=1
O 3.11(0) = 0
Answer:
3.11(0) = 0
Step-by-step explanation:
D. 3.11(0) = 0 is an example of the identity property of 1. The identity property of 1 states that any number multiplied by 1 is equal to itself. In this case, 3.11 is multiplied by 0, which is equal to 0.
3. (a) A survey on the choice of vocation for 40 students revealed that 18 liked catering, 20 liked dressmaking and 15 liked hairdressing. 2 chose catering only, 8 chose dressmaking only and 1 chose hairdressing only, 4 chose all 3 vocation. Illustrate this information on a Venn diagram. b) How many students chose dressmaking and catering only? 9)) Find the number of students who did not choose any of the 3 vocations.
The number of students who like dressmaking and catering only is 7.
The number of students who did not choose any of the 3 vocations is 12.
What is a Venn diagram?A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.
We have,
Total students = 40
The Venn diagram is given below.
The number of students who like dressmaking and catering only.
= 7
Total number of students who like at least one vocation.
= 28
The number of students who did not choose any vocation.
= 40 - 28
= 12
Thus,
7 students like dressmaking and catering only.
12 students did not choose any vocation.
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PLEASE HELP (attached image)
i didn't learn it.. so im not sure.. but i thimk 3
Mr. Johnson deposited $2000 in an account that earns simple interest at an annual interest rate of 6%. If
he received $360 as interest at the end of the tenure, how many years was the deposit held for?
The number of years that the deposit was held for is 3 years.
How to calculate the number of years?From the information, Mr. Johnson deposited $2000 in an account that earns simple interest at an annual interest rate of 6%. and he received $360 as interest at the end of the tenure.
It should be noted that simple interest is Illustrated as:
I = PRT
Therefore, T = Interest / Principal × Rate
Time = 360 / (2000 × 6%)
Time = 360 / 120
Time = 3 years
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find the foci and vertices of x^2/2 +y^2/8 =1
Answer:
I'm not sure sorry sorry
Describe all the positive integers that would make (3²)greater than 39. Explain your reasoning
The positive integers that would make (3²)ⁿ greater than 39 are any positive integers greater than 1.
How to describe all the positive integers that would make (3²) greater than 39?An integer means the number zero (0), a positive natural number or a negative integer with a minus sign (−1, −2, −3, etc.).
To see this, we can simply plug in different values for the positive integer and see when(3²)ⁿ becomes greater than 39.
If we plug in 1, we get (3²)ⁿ = 9, which is not greater than 39.
If we plug in 2, we get (3²)ⁿ = 81, which is greater than 39.
Therefore, any positive integer greater than 1 would make (3²)ⁿ greater than 39.
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Possible Question
Describe all the positive integers that would make (3²)ⁿ greater than 39. Explain your reasoning
3. Which equation shows a correct
trigonometric ratio for angle A in the right
triangle below? (MGSE9-12.G.SRT.6)
B
8 cm
A.
B. tan A
sin A =
C. cos A
17 cm
15 cm
D. tan A =
15| 17 3/17 15/17 15-2
8
8
A
Answer:
C) cos A = 15/17
cos A = adjacent/hypotenuse = 15/17
What is trigonometric ratio for right angle triangle?
The trigonometric ratios for a right angle triangle are sine, cosine, and tangent. The sine of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse. The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. The tangent of an angle is the ratio of the length of the side opposite the angle to the length of the adjacent side.
The following are the trigonometric ratios of a right angle triangle:
Sine (sin): Opposite Side/Hypotenuse
Cosine (cos): Adjacent Side/Hypotenuse
Tangent (tan): Opposite Side/Adjacent Side
Cosecant (csc): Hypotenuse/Opposite Side
Secant (sec): Hypotenuse/Adjacent Side
Cotangent (cot): Adjacent Side/Opposite Side
To learn more about trigonometric ratio refer to:
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Gary bought a jewelry box for
$2.62 that was originally priced at
$5.24. What percentage is the
discount?
Answer: 50%
Step-by-step explanation:
Take 2.62 divided by 5.24, then times 100 = 50%
Then take 100% - 50% = 50%
The percentage discount is 50%