Answer:
275 dollars every
month
Step-by-step explanation:
Can I get some help please?
Answer and Step-by-step explanation:
A) The first three terms are:
5, 8, 11
B) The tenth term is 32
You find the answer by plugging in the value for n. So for A), you would plug in 1, 2, and 3 (the first 3 terms), then to find the tenth term, you plug in 10 for n.
#teamtrees #PAW (Plant And Water)
Please please help me please help with this question
Answer:
Slope -6 y-intercept: (0,-3)
Step-by-step explanation:
Answer:
slope = -6
y-intercept = -3
Step-by-step explanation:
The slope-intercept form, y = mx + b:
m represents the slope
b represents the y-intercept.
Given the linear equation, y = -6x - 3, in its slope-intercept form:
slope (m) = -6
y-intercept (b) = -3.
To plot the points on the graph, we can also solve for the x-intercept. The x-intercept is the value of x when y = 0. Plug-in the value of y into the equation to solve for the x-intercept:
y = -6x - 3
0 = -6x - 3
Add 3 on both sides of the equation:
0 + 3 = -6x - 3 + 3
3 = -6x
Divide both sides by -6:
\(\frac{3}{-6} = \frac{-6x}{-6}\)
x = - 1/2
So the y-intercept is (-1/2, 0). We now have 2 points that you can use on your graph, the y-intercept (0, -3) and the x-intercept (-1/2, 0).
Please see the attached image for the plotted points on the graph:
Sonny has $75 to spend the night the new Nintendo switch game that he wants to buy requires $93 his parents had they will lend him the money if he can figure out how much he needs which integer below represents how much more money does he need to borrow
-18
+168
+18
+75
Answer:
he needs 18 more dollars from his parents
Step-by-step explanation:
93-75=18 therefore he is missing 18 dollars
for the person helping me ty
Step-by-step explanation:
I'm going to help you an edit this post
1 no
2 yes
3 no
4 no
5 yes
6 yes
Consider the following.
x = 6 cosh(t), y = 2 sinh(t)
(a) Eliminate the parameter to find a Cartesian equation of the curve.
(b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.
The Cartesian equation for the curve is x² - 9y² = 36.
To eliminate the parameter and find a Cartesian equation for the curve defined by the parametric equations x = 6 cosh(t) and y = 2 sinh(t), we can use the hyperbolic identity cosh²(t) - sinh²(t) = 1.
(a) Eliminating the parameter:
Start by squaring both equations:
x² = 36 cosh²(t)
y² = 4 sinh²(t)
Now, divide x² by 36 and y² by 4:
x²/36 = cosh²(t)
y²/4 = sinh²(t)
Next, substitute cosh²(t) with (x²/36) and sinh²(t) with (y²/4) using the hyperbolic identity:
(x²/36) - (y²/4) = 1
Multiply through by 36 to get rid of the fraction:
x² - 9y² = 36
Therefore, the Cartesian equation for the curve is x² - 9y² = 36.
(b) Sketching the curve and indicating the direction:
The equation x² - 9y² = 36 represents a hyperbola centered at the origin, with the x-axis as the transverse axis and the y-axis as the conjugate axis.
The curve starts at the point (6, 0) when t = 0 and moves towards positive y-values as the parameter t increases. As t increases, the curve traces the upper branch of the hyperbola. The direction of the curve can be indicated by an arrow pointing upwards.
The curve starts at the point (6, 0) and moves upwards along the upper branch of the hyperbola as the parameter increases.
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The London Eye is a large Ferris wheel that has diameter 135 meters and revolves continuously. Passengers enter the cabins at the bottom of the wheel and complete one revolution in about 27 minutes. One minute into the ride a passenger is rising at 0.06 meters per second. How fast is the horizontal motion of the passenger at that moment?
Answer:
0.253 m/s
Step-by-step explanation:
You want to know the horizontal component of motion of a passenger riding a Ferris wheel when they are 1/27 of the way around the circle and their rate of rise is 0.06 m/s.
Angle of elevationThe wheel makes one revolution in 27 minutes, so the angular displacement is changing at the rate of (360°)/(27 min) = 13 1/3°/min.
After 1 minute, the passenger is following a path that has an angle of elevation of 13 1/3°.
Horizontal componentThe ratio of vertical speed to horizontal speed will be the tangent of the angle of elevation:
Vv/Vh = tan(13 1/3°)
Then the horizontal speed will be ...
Vh = Vv/tan(13 1/3°) = (0.06 m/s)/0.237004
Vh ≈ 0.253 m/s
The passenger's horizontal motion is about 0.253 m/s.
What is the probability of tossing an odd number with 6 sided number cube ?
Okay, here we have this:
Considering the provided information, we are going to calculate the requested probability, so we obtain the following:
Let us remember that in a 6-sided dice, the numbers it contains are (1,2,3,4,5,6), and of those 3 are odd, then we are going to substitute in the following formula of the simple probability of an event :
Probability of an event=Favorable Cases/Possible Cases
Probability of tossing an odd number with 6 sided number cube =3/6
Probability of tossing an odd number with 6 sided number cube =1/2
Finally we obtain that the probability of tossing an odd number with 6 sided number cube is 1/2.
what is 1/3 as a decimal and if there is a repeating number in its division just put it
Answer:
what is 1/3 as a decimal? 0.33 (3 is repeating)
Answer:
0.33333333333333333333333...
0.33..
. .
0.33
answerrrrrr plssss ill giveee brainliesttttt
\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)
Please help brainliest
a^2 + b^2 = c^2
a = height
b = width
c= diagonal length
a^2 + 12^2 = 17^2
a^2 + 144 = 289
a^2 = 145
a = \(\sqrt{145}\)
a = 12.04
round to the nearest inch
a = 12
Answer:
12
Step-by-step explanation:
using Pythagoras Theorem
AC² = AB² + BC²
17² = AB² + 12²
AB² = 17² – 12²
AB² = 289 – 144
AB² = 145
AB = √145
AB = 12.04
AB = 12(nearest inch)
i hope this helped
the mean annual return for an employeeʹs ira is at most 3.6 percent. write the null and alternative hypotheses.
the null hypothesis (H0) represents the statement that there is no significant difference or effect, while the alternative hypothesis (Ha) states the opposite.
to determine if there is enough evidence to support the claim that the mean annual return is indeed greater than 3.6 percent or not.In hypothesis testing, the null hypothesis (H0) represents the statement that there is no significant difference or effect, while the alternative hypothesis (Ha) states the opposite.
In this case, the null hypothesis is that the mean annual return for the employee's IRA is at most 3.6 percent. It suggests that the true mean return is equal to or less than 3.6 percent. Mathematically, it can be represented as H0: μ ≤ 3.6, where μ represents the population mean.
The alternative hypothesis, Ha, contradicts the null hypothesis and asserts that the mean annual return is greater than 3.6 percent. It suggests that the true mean return is higher than 3.6 percent. It can be represented as Ha: μ > 3.6.
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Consider a symmetric n x n matrix A with A2 = A. Is the linear transformation T(x) = Ax necessarily the orthogonal projection onto a subspace of Rn?
We can conclude that the linear transformation T(x) = Ax is necessarily the orthogonal projection onto a subspace of R^n since A is a projection matrix that projects vectors onto a subspace that is the direct sum of orthogonal eigenspaces.
The answer to this question is a long one, so let's break it down.
First, let's define what it means for a matrix to be symmetric.
A matrix A is symmetric if it is equal to its transpose, or A = A^T. This means that the entries of A above and below the diagonal are equal, and the matrix is "reflected" along the diagonal.
Now, let's consider what it means for a matrix A to satisfy A^2 = A.
This condition is often called idempotency since squaring the matrix doesn't change it.
Geometrically, this means that the linear transformation T(x) = Ax "squares" to itself - applying T twice is the same as applying it once.
One interpretation of idempotency is that A "projects" vectors onto a subspace of R^n, since applying A to a vector x "flattens" it onto a lower-dimensional subspace.
So, is T(x) = Ax necessarily the orthogonal projection onto a subspace of R^n? The answer is yes but with some caveats.
First, we need to show that A is a projection matrix, meaning it does indeed project vectors onto a subspace of R^n. To see this, let's consider the eigenvectors and eigenvalues of A.
Since A is symmetric, it is guaranteed to have a full set of n orthogonal eigenvectors, denoted v_1, v_2, ..., v_n. Let λ_1, λ_2, ..., λ_n be the corresponding eigenvalues.
Now, let's look at what happens when we apply A to one of these eigenvectors, say v_i. We have:
Av_i = λ_i v_i
But since A^2 = A, we also have:
A(Av_i) = A^2 v_i = Av_i
Substituting the first equation into the second, we get:
A(λ_i v_i) = λ_i (Av_i) = λ_i^2 v_i
So, we see that A(λ_i v_i) is a scalar multiple of λ_i v_i, which means that λ_i v_i is an eigenvector of A with eigenvalue λ_i. In other words, the eigenspace of A corresponding to the eigenvalue λ_i is spanned by the eigenvector v_i.
Now, let's consider the subspace W_i spanned by all the eigenvectors corresponding to λ_i. Since A is symmetric, these eigenvectors are orthogonal to each other. Moreover, we have:
A(W_i) = A(span{v_i}) = span{Av_i} = span{λ_i v_i} = W_i
This means that A maps the subspace W_i onto itself, so A is a projection matrix onto W_i. Moreover, since A has n orthogonal eigenspaces, it is the orthogonal projection onto the direct sum of these spaces.
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Find the gradient of the straight line joining A(2,-5) and B(-7,-3).
1. -9/2
2. -2/9
3. -9
4. 1/9
Answer:
Step-by-step explanation: I do know bro is, sorry
Based on Ch.10 The variables of "The more you save (x), the less you spend (y)" describes: positive linear correlation. nonlinear correlation negative linear correlation_ no correlation_
Negative linear correlation between variables.
How to interpret negative correlation?The statement "The more you save (x), the less you spend (y)" suggests a negative linear correlation between the variables x and y. In a negative linear correlation, as one variable increases, the other variable decreases at a constant rate.
In this case, as the amount saved (x) increases, the amount spent (y) decreases. This implies that if someone saves more money, they tend to spend less money. It is important to note that correlation does not necessarily imply causation.
In other words, just because there is a negative linear correlation between the amount saved and the amount spent, it does not mean that saving more money causes people to spend less. There may be other factors that influence both variables. Nonetheless, understanding the nature of the correlation between variables can be useful in making predictions and analyzing data.
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Find the complex roots of the graph to the right.
x = 1+i or x = 1-i are the complex roots of the graph
How to find the complex roots of a graph?
Below are the steps for determining the complex roots of a graph or curve:
1. Draw a vertical line passing through the vertex of the parabola or curve
2. The value of x where the line intersects the x-axis gives the real part of the root
3. Draw a horizontal line of height twice the height of the vertex from the x-axis
4. Draw a vertical line from this point of intersection to intersect the x-axis
5. The distance of this point from the real part of the root gives you the imaginary part of the root
(Check the attached image for the labeling)
From the image attached:
Real part of the root: a = 1
Imaginary part of the root: b = 1
Remember: complex root is of the form x = a±bi
Therefore, the complex roots of the graph are x = 1+i or x = 1-i
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Which triangles must be congruent?
Answer:
It stands for "side-side-side". If two triangle both have all of their sides equal (that is, if one triangle has side lengths a, b, c, then so does the other triangle), then they must be congruent.
Write the equation of the line in fully simplified slope/intercept form
Answer:
y = m x + b standard form for straight line
m = (y2 - y1) / (x2 - x1)
When y2 = 12, x = -6
when y = 0, x = -2
m = (12 - 0) / (-6 - (-2)) = -3
so y = -3 x + b
Also, when x = 0, y = -6
Our equation is
y = -3 x - 6
As a check try x = -2
y = (-3 * -2) + (-6) = 0 as the graph shows
In a class, there are 24 boys to 18 girls. What is the ratio of boys to the total number of students in the class?
Options:
a. 24:24
b. 24:42
c. 42:24
d. 18:42
Answer:
B. 24:42Step-by-step explanation:
24 boys to 18 girls, total students:
24 + 18 = 42Ratio of boys to the total number of students:
28 : 42Correct choice is B
Answer:
Solution given;
girl's=18
boys=24
total no of students=24+18=42
now
the ratio of boys to the total number of students in the class=\( \frac{24}{42} \)
=24:42is the required ratio.
est test the claim that the proportion of children from the low income group that did well on the test is different than the proportion of the high income group. Test at the 0.1 significance level.
We are given that 27 of 40 children in the low income group did well, and 11 of 35 did in the high income group.
If we use LL to denote the low income group and HH to denote the high income group, identify the correct alternative hypothesis.
A. H1:pL
B. H1:μL>μHH1:μL>μH
C. H1:μL<μHH1:μL<μH
D. H1:pL≠pHH1:pL≠pH
E. H1:pL≥pHH1:pL≥pH
F. H1:μL≠μHH1:μL≠μH
This hypothesis suggests that there may be disparities in educational outcomes based on income level.
The alternative hypothesis H1: pL ≠ pH is the correct choice for testing the claim that the proportion of children from the low income group who did well on the test is different from the proportion of the high income group.
In this context, pL represents the proportion of successful students in the low income group, and pH represents the proportion of successful students in the high income group.
By stating that the two proportions are not equal, the alternative hypothesis allows for the possibility that there is a difference between the two income groups in terms of test performance.
This hypothesis suggests that there may be disparities in educational outcomes based on income level.
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at what point (x,y) is the function f(x)=6−7x closest to the point (−10,−4)? enter an exact answer.
The exact solution of this equation involves solving a quadratic equation, which may not result in a simple integer value for x.
To find the point (x, y) on the function f(x) = 6 - 7x that is closest to the point (-10, -4), we need to minimize the distance between the two points.
The distance between two points (x1, y1) and (x2, y2) is given by the formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, we want to minimize the distance between the point (-10, -4) and any point on the function f(x) = 6 - 7x. So we can set up the distance equation:
d = sqrt((-10 - x)^2 + (-4 - (6 - 7x))^2)
To find the point (x, y) that minimizes the distance, we can find the value of x that minimizes the distance equation. Let's differentiate the distance equation with respect to x and set it equal to zero to find the critical point:
d' = 0
Differentiating and simplifying the equation, we get:
(-10 - x) + (-4 - (6 - 7x))(-7) = 0
Solving this equation will give us the value of x at the closest point. Plugging this x-value into the function f(x) = 6 - 7x will give us the corresponding y-value.
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Penelope has a points card for a movie theater.
• She receives 50 rewards points just for signing up.
• She earns 2.5 points for each visit to the movie theater.
• She needs 65 points for a free movie ticket.
Which equation or tape diagram could be used to represent the context if v
represents the number of visits Penelope must make to earn a free movie ticket?
Answer:
entonces tiene que ir 6 veces de visita para que le den la entrada gratis
Step-by-step explanation:
50+15=65
2.5×6=15
v=6
2, 10, 50, 250, 1250
Write the explicit form of the sequence above.
The explicit function of the sequence is a(n) = 2(5)^n-1
How to determine the explicit function of the sequenceThe definition of the function is given as
2, 10, 50, 250, 1250
The above definitions imply that we simply multiply 5 to the previous term to get the current term
Using the above as a guide,
So, we have the following representation
a(1) = 2
Common ratio, r = 5
So, we have
a(n) = a * r^n-1
This givs
a(n) = 2(5)^n-1
Hence, the sequence is a(n) = 2(5)^n-1
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Given that R is between S and T, find the measure of TS RS=6 TR=4.5 TS=?
Answer:
\(\huge\boxed{TS = 10.5}\)
Step-by-step explanation:
Given that:
R is a point lying on line TS
So,
TS = TR + RS
Where TR = 4.5 and RS = 6
=> TS = 4.5 + 6
=> TS = 10.5
Write the equation for the parabola with vertex (1,6) and x intercepts (3,0) and (-2,0)
The x-intercepts of the parabola are (3,0) and (-2,0)
Knowing the roots of the quadratic formula you can express the factorized form:
\(f(x)=(x-3)(x+2)\)Next, solve the multiplication of the parentheses terms by multiplying each term of the first parentheses by each term of the second parentheses
\(\begin{gathered} f(x)=(x\cdot x)+(x\cdot2)+(-3\cdot x)+(-3\cdot2) \\ f(x)=x^2+2x-3x-6 \\ f(x)=x^2-x-6 \end{gathered}\)True or False: For a given mass of rising air, the dry adiabatic rate will always be higher than the wet adiabatic rate.
Answer:
true
Step-by-step explanation:
because there's less humidity
Select the correct answer. Which graph represents the given exponential function? f(x) = 5(3) - 1 O A. B. A -4 -2 -2 4- 2+ -2- -4 + 4 N + 2 y > + 2 2 4 X
The exponential function represented by the graph of option B.
Given function f(x) = 5(3)ˣ - 1, we need to find the exponential function for that,
Put the points on the graph to find values of a and b -
(0, 0.5 ) ,0.5 = ab⁰
a = 1/2
y = 1/2 bˣ
And, (1, 1 )
1 = 1/2 b¹
Therefore, b = 2
Thus the exponential function represented by the given graph option B.
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which inequality is true?
1/2 is less than 1/3
3/4 is greater than 2/3
-1/4 is less than -2/3
-1 is greater than 3/4
The correct option which valid for inequality is the first one that is 3/4 is greater than 2/3.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
In the given option
3/4 is greater than 2/3 is the right one
1/2 is less than 1/3 is not true because 1/2 is more than 1/3.
-1/4 is less than -2/3 is not true because -1/4 is not less than -2/3,
-1 is greater than 3/4 is not true because -1 is not greater than 3/4s.
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Correlation coefficients examine ______. Group of answer choices differences between two or more groups the relationship between variables how variables can be arranged into higher-order factors differences between two groups
Correlation coefficients examine the relationship between variables.
They help in determining the strength and direction of the association between two continuous variables, making it easier to understand and interpret their connection.
Correlation coefficients are statistical measures used to examine the relationship between two or more variables. The correlation coefficient quantifies the degree to which the variables are related or associated with each other.
A positive correlation coefficient indicates that when one variable increases, the other variable also tends to increase, while a negative correlation coefficient indicates that when one variable increases, the other variable tends to decrease.
A correlation coefficient of zero indicates no relationship between the variables.
Correlation coefficients are often used in research studies to examine the strength and direction of the relationship between two variables.
For example, in a study examining the relationship between exercise and weight loss, a correlation coefficient could be calculated to determine how strongly exercise and weight loss are related.
It is important to note that correlation does not imply causation, and a strong correlation between two variables does not necessarily mean that one variable causes the other.
Correlation coefficients are simply used to describe the relationship between two variables and to identify patterns in the data.
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Writing an equation to represent the following situation? Maria wants to buy apples and pears at the store. Let x = number of apples and y = the number of pears. Apples are $4 a pound and pears are $2 a pound. She has a total of $20 to spend.
Answer:
4x+2y=20
Step-by-step explanation:
x=apples ($4/lb)
y=pears ($2/lb)
20.19÷4.6
Answer show your work