Answer:
True
Step-by-step explanation:
So this problem is asking whether Parametric because have an orientation and the short answer to that is that this is true. Parametric curves do have an orientation and we'll just do a little demonstration to share. Why? So let's take these very standard privatization of the unit circle where X is he going to cause of tea and why is equal to sign of tea now? The final part of defining the characterization is defining that the main range of tea on will take t to go from zero to two pi Andi, In this case, this is the this parts of circle going in this direction in the counter clockwise direction. And this is because as X as he goes from zero to play over two x decreases and signed increases on it sets us off on this direction as if that's one orientation off this curve of the circle. But we can alter this curve to get a different orientation. So if we were to take the Parametric equation given by X is equal to the co sign a minus T and why is equal to the sign of minus T in this case? Well again, take the domain to be from 0 to 2 pi. But because of the mind, the sign when it the mind sign doesn't actually affect X, it doesn't effect for co sign Well, it does affect the sign of minus T. So as T increases, the X value still decreases. But the Y value initially decreases as well, so this sets the arrows off on the clockwise direction. So this is another orientation off the same curve. So we've got two very different characterizations that describe the same physical curve. But because of the differences, the curve is constructed in opposite direction, and that is what the orientation defines. So it's very important to make sure that when you're drawing and describing the curve, you're parametric equations are in the correct orientation because otherwise you may encounter some difficulties later on. Because you'll be working with equation start that are, in fact, wrong
Thank you,
Eddie.
A vacant lot is being converted into a community garden. The garden and the walkway around its perimeter have an area of 572 ft. Find the width of the walkway, (x in the diagram below), if the garden is 14 ft. wide by 18 ft. long. Factoring or the quadratic equation formula can be used. a) 5) Solve for the specified variable A = 1/(a+b)h for a 6) Solve for x 14 feet x+10_I 33 Jeet b) A=1/(a+b)h for a
Anna has 24 apples and 27 bananas. How many does she have all together?
Chad used the table to show the ratios of the different types of sports game cards that he owns. For every 2 offense cards, he owns 4 defense cards. Which graph represents the proportional relationship between his defense and offense cards?
Chad’s Sports Cards
Card Type
Kicking Team
Offense
Special Teams
Defense
Quantity
1
2
3
4
The equation that shows the proportional relationship between his defense and offense cards is y = 2x
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the defense cards and x represent the offense cards.
For every 2 offense cards, he owns 4 defense cards. Hence:
4 = 2m
m = 2
y = 2x
The equation that shows the proportional relationship between his defense and offense cards is y = 2x
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Please Help! Multiple Choice!
Using the z-distribution, the p-value would be given as follows:
b) 0.0086.
What are the hypothesis tested?At the null hypothesis we test if the means are equal, hence:
[tex]H_0: \mu_D - \mu_C = 0[/tex]
At the alternative hypothesis, it is tested if they are different, hence:
[tex]H_1: \mu_D - \mu_C \neq 0[/tex]
What are the mean and the standard error for the distribution of differences?For each sample, they are given as follows:
[tex]\mu_D = 12, s_D = \frac{5.2}{\sqrt{73}} = 0.6086[/tex][tex]\mu_C = 14, s_C = \frac{4.1}{\sqrt{81}} = 0.4556[/tex]Hence, for the distribution of differences, they are given by:
[tex]\overline{x} = 12 - 14 = -2[/tex].[tex]s = \sqrt{0.6086^2 + 0.4556^2} = 0.76[/tex]What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{\overline{x} - \mu}{s}[/tex]
[tex]z = \frac{-2 - 0}{0.76}[/tex]
z = -2.63.
Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.
Hence option B is correct.
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as part of a competition, diego must spin around in a circle 6 times and then run to a tree. the time he spends on each spin is represented by S AND THE TIME HE SPEND RUNNING is R. He gets to the tree 21 seconds after he starts spinning. If it takes diego 1.2 seconds to spin around each time, how many seconds did he spend running
The time he spent running is 13.80 seconds.
How much time did he spend running?
The equation that can be used to represent the time he gets to the tree is:
Time he gets to the tree = (time of each spin x total spins) + time he spent running
21 = (6 x 1.2) + r
21 = 7.20 + r
r = 21 - 7.20
r = 13.80 seconds
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Can u guys please give me the correct answer
Angles on straight line = 180
180 - 115 = 65
So, angle above 4 in the top corner is 65.
Co-interior angles add up to 180.
(180-65=115)
Thus, the value of 4 is 115 degrees.
Hope this helps!
what’s the equation of this line?
Answer:
Step-by-step explanation:
Hello : let A(0,-6) B(8,-8)
the slope is : (YB - YA)/(XB -XA)
(-8+6)/(8-0) = -2/8=-1/4
an equation is : y=ax+b a is a slope
y = (-1/4)x +b
the line through point A (0;-6) : -6 = (-1/4)(0)+b
b = -6 the equation is : y =(-1/)4x-6
A building contractor is to dig a foundation 30 feet long, 12 feet wide, and 6 feet deep. The contractor pays $20 per load for trucks to remove the dirt. Each truck holds 8 cubic yards. What is the cost to the contractor to have all the dirt hauled away?
Answer:
$1800
Step-by-step explanation:
Volume of the foundation: 30*12*6 = 2160 cubic feet
we need to convert this into yards because a truckload is 8 cubic yards, 2160/3 = 720 cubic yd
One truckload is 8 cubic yards
# of truckloads needed: 720/8 = 90 truckloads
Cost: $20*90 = $1800
Rectangle MNPQ is rotated using the origin as the center of rotation, resulting in rectangle M’N’P’Q’, as shown below.
On a coordinate plane, rectangle M N P Q has points (negative 2, 6), (0, 4), (negative 3, 1), (negative 5, 3). Rectangle M prime N prime P prime Q prime has points (6, 2), (4, 0), (1, 3), (3, 5).
Which rotation may have occurred?
a 45° rotation clockwise
a 45° rotation counterclockwise
a 90° rotation clockwise
a 90° rotation counterclockwise
Answer:
45° rotation clockwise
Step-by-step explanation:
When you plot these on the graph, the non prime ones are on quadrant 2 and when you plot the prime ones, it is on quadrant 1. This means that it is 45° to the right(clockwise)
⬇️red is prime blue is regular ⬇️
Suppose that, for a certain mathematics class, the scores are normally distributed with a mean of 75 and a standard deviation of 9. The teacher wishes to give A's to the top 7% of the students and F's to the bottom 7%. The next 17% in either direction will be given B's and D's, with the other students receiving C's. Find the bottom cutoff for receiving an A grade. (You may need to use the standard normal distribution table. Round your answer to the nearest whole number.)
The bottom cutoff for receiving an A grade is 88.
What is the bottom cutoff for receiving an A grade?The bottom cutoff for receiving an A grade is found as follows:
The mean of the distribution = 75
The standard deviation = 9
The z-score for the 93% = 1.476
The score for an A grade, x = mean + z-score * standard deviation
Score for an A grade, x = 75 + 1.476 * 9
Score for an A grade, x = 88
In conclusion, the minimum score for an A grade is obtained from the mean, the z-score and the standard deviation.
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Triangle L N M is shown. Angle L N M is 90 degrees and angle N M L is 20 degrees. The length of L N is 21.
Use the diagram to complete the statements.
The measure of angle L is
°.
The trigonometric ratio that uses ∠M and LN to solve for NM is
.
The length of NM, to the nearest tenth, is approximately
.
Angle L: 70°
The trigonometric ratio used to solve for NM is the tangent ratio.
NM = 57.7 [nearest tenth]
How to Apply the Trigonometric Ratios?Using the triangle sum theorem, find angle L.
Angle L = 180 - 90 - 20 = 70°
Using the tangent ratio, we can use ∠M and LN to solve for NM
Tan 20 = 21/NM [tan ∅ = opposite/adjacent]
NM = 21/tan 20
NM = 57.7 [nearest tenth]
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Answer:
70, tangent, 57.7
Step-by-step explanation:
What is the card balance
Answer:
A card balance is the total amount of money that you currently owe on your credit card. The balance increases when purchases are made and decreases when payments are made. Purchases, balance transfers, foreign exchange, fees, and interest all factor into your credit card balance.
please brainlest and like
Find the first 10 terms of the sequence below :
g) the sequence whose terms are constructed sequen tially as follows: start with 1, then add 1, then mul
tiply by 1, then add 2, then multiply by 2, and so on
h) the sequence whose nth term is the largest integer k
such that k!
The first ten terms of the sequence are 1, 2, 8, 33, 148, 765, 4626, 32431, 259512, 2335689.
The n-th term of the sequence is aₙ ₊ ₁ = (aₙ + 1) · n.
How to generate the elements of a sequence
A sequence is a set of elements generated by at least one condition, usually an equation. In this case, the sequence is generated by a recurrence formula:
a₁ = 1, aₙ ₊ ₁ = (aₙ + 1) · n (1)
The first ten terms of the sequence are:
n = 1
a₂ = (a₁ + 1) · 1
a₂ = 2
n = 2
a₃ = (a₂ + 2) · 2
a₃ = 4 · 2
a₃ = 8
n = 3
a₄ = (a₃ + 3) · 3
a₄ = 11 · 3
a₄ = 33
n = 4
a₅ = (a₄ + 4) · 4
a₅ = 37 · 4
a₅ = 148
n = 5
a₆ = (a₅ + 5) · 5
a₆ = 153 · 5
a₆ = 765
n = 6
a₇ = (a₆ + 6) · 6
a₇ = (765 + 6) · 6
a₇ = 4626
n = 7
a₈ = (a₇ + 7) · 7
a₈ = 4633 · 7
a₈ = 32431
n = 8
a₉ = (a₈ + 8) · 8
a₉ = 32439 · 8
a₉ = 259512
n = 9
a₁₀ = (a₁₀ + 9) · 9
a₁₀ = 259521 · 9
a₁₀ = 2335689
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PLS HELP OR I WILL FAIL I BEG U HELP
Answer:
The first one, you cannot factor because the two values do not share any common factors. Hence, the answer would just be:
a. 51x-25
The other one, we can factorise to:
b. 3x(4-x)
Step-by-step explanation:
For the second option:
Common factor between 12x and 3x^2 is 3x.
Take this out to the front, we are left with:
3x(4-x)
A website I recommend you use (math calculator with some instructions) is Symbolab.
https://www.symbolab.com/solver/factor-calculator/factor%2012x-3x%5E%7B2%7D?or=input
What are the coordinates of the y-intercept of the line -3x+2y=6?
Answer:
y-intercept: (0,3)
Step-by-step explanation:
To find the y-intercept, we set x to equal 0, giving the equation:
-3(0)+2y = 6
0+2y = 6
y = 3
Evaluate 4s^2 for s = 1/4. Type a numerical answer in the space provided. If necessary, use the / key to represent a fraction bar. Do not type spaces in your answer.
Answer:
1/4
Step-by-step explanation:
Given [tex]\displaystyle{s=\dfrac{1}{4}}[/tex] and we have to evaluate [tex]\displaystyle{4s^2}[/tex]. We can do by substituting the given value s = 1/4 in 4s² term:
[tex]\displaystyle{4\cdot \left(\dfrac{1}{4}\right)^2}\\\\\displaystyle{4\cdot \dfrac{1}{16}}\\\\\displaystyle{\dfrac{1}{4}}[/tex]
Therefore the value is 1/4
Based on the figure below, what is the value of x?
(5x + 15)
01
09
0 11
15
20°
Answer:
undefined
Step-by-step explanation:
because
the figure does not appear
You throw a ball at a height of 6 feet above the
ground. The height h (in feet) of the ball after t seconds can be modeled by the equation
h=-16t² +62t +6. After how many seconds does the ball reach a height of 27 feet?
Answer:
0.375 second and 3.5 second
Step-by-step explanation:
The position can be modeled by a quadratic function [tex]\displaystyle{h=-16t^2+62t+6}[/tex]. We are tasked to find the time when a ball reaches a height of 27 feet. Therefore, let h = 27:
[tex]\displaystyle{27=-16t^2+62t+6}[/tex]
Solve for t:
[tex]\displaystyle{27-6=-16t^2+62t}\\\\\displaystyle{21=-16t^2+62t}\\\\\displaystyle{16t^2-62t+21=0}[/tex]
Since the equation is quite complicated and more time-consuming to solve, i'll skip the factoring or quadratic part:
[tex]\displaystyle{t=0.375, 3.5}[/tex]
After done solving the equation, you'll get t = 0.375 and 3.5 seconds. These solutions are valid since both are positive values and time can only be positive.
Hence, it'll take 0.375 and 3.5 seconds for a ball to reach 27 feet.
Find the equation for a parabola with its focus at (0, 3) and a directrix of y = -3.
x = 1/12y^2
y = 1/9x^2
y = 1/12x^2
y = -1/12x^22
The equation of the parabola is [tex]y=\frac{1}{24} x^2+3[/tex]
None of the given options is correct
Given:
Focus: (0, 3)
Directrix: y = -3
Note that:
f - k = k - (-3)
f - 3 = 3 + 3
f = 6 + 3
f = 9
The equation of the parabola is of the form:
[tex]y=\frac{1}{4(f-k)} (x-h)^2+k[/tex]
Substitute f = 9, k = 3, h = 0 into the equation
[tex]y=\frac{1}{24} (x-0)^2+3\\\\y=\frac{1}{24}x^2+3[/tex]
The equation of the parabola is [tex]y=\frac{1}{24} x^2+3[/tex]
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Instructions: Find the volume of each figure. Round your answers to the nearest tenth, if necessary.
Volume: Answer, yd3
Answer:
The volume is
[tex]339.4 {yd}^{3} [/tex]
Step-by-step explanation:
The solution is in the image
Estimate the difference of the decimals below by rounding to the nearest
whole number.
61.621
7.173
Answer:
55
Step-by-step explanation:
61.621 rounded to the nearest whole number is 62. We know this by looking at the whole number "61" and rounding its last digit by the digit to the right of it, depending if its <5 or >5. In this case, the right ones digit is "6", being greater than 5 means we can round 61.621 to 62.
The same applies to 7.173, given that "1" is less than 5, we don't round down (because we are rounding up), instead we replace remaining digits with 0, leaving us with 7.
To find the difference means to subtract;
62-7 = 55.
Cuál es el número que no pertenece a esta sucesión 99 koma 105 koma 111 koma 117 koma 123 koma 129 koma 135 koma 141 koma 147 koma 153 Cuál es el número que no pertenece esta sucesión 99coma 105 koma 111 koma 117 koma 123 koma 129 koma 135 koma 141 koma 147 koma 153
Based on the calculations, all of the numbers belong to this arithmetic sequence.
How to calculate an arithmetic sequence?Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:
[tex]a_n = a_1 +(n-1)d[/tex]
Where:
d is the common difference.a₁ is the first term of an arithmetic sequence.n is the total number of terms.Next, we would determine the common difference as follows:
d = a₂ - a₁
d = 105 - 99 = 6.
d = a₃ - a₂
d = 111 - 105 = 6.
d = a₄ - a₃
d = 117 - 111 = 6.
Based on the calculations, all of the numbers belong to this arithmetic sequence.
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Complete Question:
What is the number that does not belong to this sequence 99, 105, 111, 117, 123, 129, 135, 141, 147, 153
4/10x - 2x + 8/5 = 4/5
[tex]\large\displaystyle\text{$\begin{gathered}\sf \left(\frac{4}{10}\times x\right)-(2 \times x)+\frac{8}{5}=\frac{4}{5} \end{gathered}$}[/tex]
Reduce the fraction 4/10, to its minimum expression, extracting and canceling 2.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \frac{2}{5}x-2x+\frac{8}{5}=\frac{4}{5} \end{gathered}$}[/tex]Combine [tex]\bf{\frac{2}{5}x }[/tex] and -2x to get [tex]\bf{-\frac{8}{5}x}[/tex].
[tex]\large\displaystyle\text{$\begin{gathered}\sf -\frac{8}{5}x+\frac{8}{5}=\frac{4}{5} \ \end{gathered}$}[/tex]Subtract 8/5 from both sides.
[tex]\large\displaystyle\text{$\begin{gathered}\sf -\frac{8}{5}x=\frac{4}{5}-\frac{8}{5} \ \ \end{gathered}$}[/tex]Since 4/5 and 5/8 have the same denominator, join their numerators to subtract them.
[tex]\large\displaystyle\text{$\begin{gathered}\sf -\frac{8}{5}x=\frac{4-8}{5} \end{gathered}$}[/tex]Subtract 8 from 4 to get -4.
[tex]\large\displaystyle\text{$\begin{gathered}\sf -\frac{8}{5}x=-\frac{4}{5} \end{gathered}$}[/tex]Multiply both sides by [tex]\bf{-\frac{5}{8}}[/tex], the reciprocal of [tex]\bf{-\frac{5}{8}}[/tex].
[tex]\large\displaystyle\text{$\begin{gathered}\sf x=-\frac{4}{5}\left(-\frac{5}{8}\right) \end{gathered}$}[/tex]Multiply -4/5 by -5/8 (to do this, multiply the numerator by the numerator and the denominator by the denominator).
[tex]\large\displaystyle\text{$\begin{gathered}\sf x=\frac{-4(-5)}{5\times8} \ \to \ \ Multiply \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf x=\frac{20}{40} \end{gathered}$}[/tex]Reduce the fraction 20/40 to its lowest expression by extracting and canceling 20.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf x=\frac{1}{2} \end{gathered}$}}[/tex]Good luck in your studiesPre Calc work, I need help with writing piece wise functions from graphs. Can anyone help? Giving brainliest
The definition of the piece-wise function is:
[tex]f(x) = 2.5x + 1, -2 \leq x \leq 2[/tex][tex]f(x) = -3, 2 < x < 6[/tex].What is a piece-wise function?A piece-wise function is a function that has different definitions, depending on the input.
In this problem, for inputs between -2 and 2, the function is a line that goes through (-2,-4) and (2,6). The slope is:
m = (6 - (-4))/(2 - (-2)) = 2.5.
The y-intercept is of b = 1, hence the rule is:
[tex]f(x) = 2.5x + 1, -2 \leq x \leq 2[/tex]
For x greater than 2 and less than 6, the function is constant at -3, hence the rule is:
[tex]f(x) = -3, 2 < x < 6[/tex].
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What is the answer to this system of equations? 2x - 3y= 21 and -6x + 2y = 7.
answer:
x = - 9/2
y = -10
Step-by-step explanation:
make both equations look like y =
2x-3y=21 -> -3y= -2x+21 -> y = (-2x+21)/-3 -> y = 2/3x - 7
-6x + 2y = 7 -> 2y = 6x + 7 -> y = 3x + 7/2
now make the equations equal to each other (since they both equal y)
get x
2/3x - 7 = 3x + 7/2
-7 -7/2 = 3x - 2/3x
-14/2 -7/2 = 9/3x - 2/3x
-21/2 = 7/3x
(3/7) -21/2 = x
x = (3/7) -21/2
x = - 63/14
x = - 9/2
put it back in an equation to get y
y = 3x + 7/2
y = 3(-9/2) + 7/2
y = -27/2 + 7/2
y = -20/2
y = - 10
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answer me please as soon as possible plot the graph same as shown in the question using green orange and black colors
Due to length restrictions, we kindly invite to read the explanation of this question for further details about the table and graph of the function.
How to plot the graph of a function
In this problem we must plot the graph of a function on a Cartesian plane. The procedure is summarized below:
Create a table for a series of equally spaced x-values.Calculate the y-values for corresponding values and fill the table.Mark the points on the Cartesian plane.Match the points with line segments.After following the procedure, we have the following result:
Input, x x + 4 Output, y (x, y)
- 2 - 2 + 4 2 (- 2, 2)
0 0 + 4 4 (0, 4)
2 2 + 4 6 (2, 6)
4 4 + 4 8 (4, 8)
6 6 + 4 10 (6, 10)
8 8 + 4 12 (8, 12)
Lastly, we plot the graph of the linear function.
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Let f(x)=4x-1 and g(x)=2x^2+3
(f+g)(x)
Step-by-step explanation:
(f+g)(x)=4x-1+2x²+3===> 2x²+4x+2
za = a + b/m, solve for a
Answer: [tex]a=\frac{b}{zm-1}[/tex]
Step-by-step explanation:
Let's first multiply both sides by m to get rid of the denominator.
[tex]za=\frac{a+b}{m}\\zam=a+b[/tex]
Now, we have an a on both sides of the equation. It will be easier to solve if there is only one, so let's divide both sides by a.
[tex]\frac{zam}{a}=\frac{a+b}{a}\\zm=\frac{a}{a}+\frac{b}{a}\\zm=1+\frac{b}{a}[/tex]
The 1 on the right can be moved to the left to isolate the fraction.
[tex]zm-1=\frac{b}{a}[/tex]
We want to get a by itself, so let's multiply it on both sides to remove it from the denominator.
[tex]a(zm-1)=b[/tex]
Finally, we can divide zm-1 from both sides to get a by itself.
[tex]a=\frac{b}{zm-1}[/tex]
For f(x) = 3x+1 and g(x) = x2 - 6, find (F/g)
Answer: [tex]\frac{3x+1}{x^{2}-6}[/tex]
Step-by-step explanation:
(f/g) represents the division of function f by function g.
The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 57.5% of their carbon-14. How old were the bones at the time they were discovered?
Therefore, the bones were 6612.5 years old at the time they were discovered.
Half lifeGiven that the radioactive element carbon-14 has a half-life of 5750 years, and a scientist determined that the bones from a mastodon had lost 57.5% of their carbon-14, to determine how old were the bones at the time they were discovered, the following calculation must be made:
50 = 5750100 = 1150057.5 = X57.5 x 11500 / 100 = X6612.5 = XTherefore, the bones were 6612.5 years old at the time they were discovered.
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Answer:Therefore, the bones were 6612.5 years old at the time they were discovered.
Step-by-step explanation: