NEED HELP!! ITS ALGEBRA 1
The equations of four lines are given. Identify which lines are perpendicular.
Line 1: y=−5
Line 2: y=¼ x-1
Line 3: x=−6
Line 4: y+5=−4(x+1)

Answer:

Example: 70700, 70701

Step-by-step explanation:

   7                                                         7

______                   ______               ______       ______        ______

10000s place       1000s place       100s place     10s place      1s place

Therefore, tan θ = -2√3 in quadrant II.

In quadrant II, the cosine is negative and the tangent is positive. We are given that cos θ = -1/2, so let's use the Pythagorean identity to find the value of sin θ:

cos^2 θ + sin^2 θ = 1

(-1/2)^2 + sin^2 θ = 1

1/4 + sin^2 θ = 1

sin^2 θ = 1 - 1/4

sin^2 θ = 3/4

Taking the square root of both sides, we get:

sin θ = ±√(3/4)

Since we are in quadrant II and the tangent is positive, we can determine that sin θ is positive. Therefore, sin θ = √(3/4).

Now, let's use the tangent identity to find the value of tan θ:

tan θ = sin θ / cos θ

tan θ = (√(3/4)) / (-1/2)

tan θ = (√3 * 2) / (-1)

tan θ = -2√3

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The variables of farmer are independent variables and dependent variables.

In this scenario, the farmer is testing the impact of different amounts of nitrogen on corn plant height. Her variables are as follows:

1. Independent variable: The amount of nitrogen infused in the soil (one pot has nitrogen-infused soil and the other has regular soil).

2. Dependent variable: The height of the corn plants (measured in feet).

However, it's important to note that the experimental setup has a potential confounding variable, which is the location of the pots (one is outside and the other is in the bathroom). This might influence the results and make it difficult to solely attribute the differences in height to the nitrogen content in the soil.

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In the given word problem, Nevaeh's age is 7.

Given that,

Nevaeh is older than Kareem.

Their ages are consecutive integers.

The sum of the square of Nevaeh's age and twice Kareem's age is 61.

Assume Nevaeh's age as x.

Since Nevaeh is older than Kareem, Kareem's age would be x-1.

According to the problem,

The sum of the square of Nevaeh's age and twice Kareem's age is 61.

So, we can write the equation as:

x² + 2(x-1) = 61.

Expanding the equation, we get:

x² + 2x - 2 = 61.

Rearranging the terms, we have:

x² + 2x - 63 = 0.

x² + 9x - 7x - 63 = 0

x(x + 9) - 7(x + 9) = 0

(x - 7)(x+9) = 0

x = 7 or x = - 9

Since age is a positive quantity, therefore, proceed x = 7

Therefore, Nevaeh's age is 7.

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Answer:

8.5 km

Step-by-step explanation:

The distance is given by sqrt(8^2+3^2)=sqrt(64+9)=sqrt(73)=8.5 km

Answer:

  -2

Step-by-step explanation:

The floor function returns the largest integer not greater than the function's argument. The largest integer less than or equal to -1.1 is -2.

1. Write in y=mx+b Form 8x+2y=18. 8x+2y=18 8 x + 2 y = 18. The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept.

2. Simple and best practice solution for 7x-y=35 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand,

Answer:

y = -7

Step-by-step explanation:

distribute a 2 across each term in the second equation to get:

14x - 2y = 70  

now add it to the first equation to get:

22x = 88

x = 4

now substitute 4 for 'x' in either equation to get value of 'y':

7(4) - y = 35

28 - y = 35

-y = 7

y = -7

Check:

8(4) + 2(-7) = 18

32 - 14 = 18

18 = 18

The largest possible error in the area of the circle is of 44%.

The area of a circle of radius r is given by:

\(A = \pi r^2\)

With a diameter of 20 cm = radius of 10 cm, the area in cm² is given by:

\(A = \pi \times 10^2 = 100\pi\)

With the error, with a diameter of 20 x 1.2 = 24 cm = radius of 12 cm, the area in cm² is given by:

\(A = \pi \times 12^2 = 144\pi\)

The error is given by:

\(E = 144\pi - 100\pi = 44\pi\)

The percent error is the error divided by the initial amount, multiplied by 100%, hence:

\(P = \frac{44\pi}{100\pi} \times 100\% = 44\%\)

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Answer:

ST

Step-by-step explanation:

Sides of ΔSUT  are : ST, SU , UT

Side of Δ SVT  are:  ST , VT , SV

Common side is ST

Answer:

x = 2.52

feel free to hit the crown

Answer:

2.52

Step-by-step explanation:

30.16 - 17.56 = 12.6

12.6 / 5 = 2.52

To verify if you plug it in, 30.16 = 17.56 + 5(2.52)

I hope it helped :)

Answer:

y = -x + 30

Step-by-step explanation:

You will want to put the equation in the form y = mx + b where m is the slope and b is the y-intercept (an example is y = 2x - 1).

First, to find the slope you want to find how much x goes up by when y goes up by 1. You know from the table that when y goes up by 5, x goes up by -5 (using the points (10, 20) and (5, 25))

Then, you can divide each value by 5, so it would be when y goes up by 1, x goes up by -1. That means the slope is -1.

So far, the equation is y = -x + b. To find b, you can plug in one of the points you have and solve for b. For example, substitute in x = 10 and y = 20, so:

20 = -10 + b

add 10 to both sides

30 = b

So you know the equation is y = -x + 30

Please let me know if any parts of these explanation are confusing, I definitely think this concept can be confusing at time. Good luck with your work! :)

Answer:

To create an equation, you need to find the slope first. The slope formula is \(\frac{y^2-y^1}{x^2-x^1}\). Let's use two random coordinates: (10,20) and (5,25). Plug in these digits into the formula to get \(\frac{25-20}{5-10}\). Simplify to get \(\frac{5}{-5}\) or -1. The equation would look like y=-x+b. Now we need to find b. Again, let's use a random coordinate: (10,20). Plug in the digits into the variables to get 20=-10+b. Add 10 on both sides to get 30=b. So, the equation would be y=-x+30.

In summary, the composition of two functions, f ∘ g, combines the outputs of the function g as inputs to the function f.

The composition of two functions, f ∘ g, is a new function that is formed by applying the output of the function g as the input of the function f.

To find the composition of f ∘ g, follow these steps:

1. Start with the function g(x) and evaluate it for a given input value, let's call it 'a'. This will give you g(a).
2. Take the output g(a) and use it as the input for the function f(x). Evaluate f(x) with this input value to get f(g(a)).
3. The final result f(g(a)) is the value of the composition of the two functions f ∘ g at the input 'a'.

In terms of composition notation, f ∘ g is read as "f composed with g" or "f of g". It represents the order in which the functions are applied: g is applied first, and then f is applied to the result of g.

In summary, the composition of two functions, f ∘ g, combines the outputs of the function g as inputs to the function f.

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The value side of the trapezoid that is x = 33ft.

The trapezoid is fascinating since it is defined by your geographical location. draw a trapezium for you while on an exchange trip to the United Kingdom, they will draw it as a trapezium. In some parts of the world, a trapezium is also known as a trapezium, and it is a form of quadrilateral having one pair of opposite sides that are parallel to each other.

To find the value x, take the side of the trapezoid into the proportion.

\(\frac{40.5}{x} = \frac{54}{44}\)

Therefore x = \(\frac{40.5 * 44}{54}\)

x = 33 ft.

Therefore the value of x is 33 ft.

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Answer:

JL is not congruent to KM

Step-by-step explanation:

The length of JL is 23-21 = 2.

The length of KM is 25-22 = 3

So, because the lengths are not equal,

JL is not congruent to KM

Here we are given a right angled triangle in which there are two unknown angles x and y . we need to find out the values of x and y. Firstly, as we know that the angle sum property of a triangle is 180° . So that,

\(\longrightarrow x + y +90^o = 180^o\\\)

\(\longrightarrow x + y = 180^o -90^o = 90^o \dots \\\)

\(\longrightarrow y = 90^o - x \dots (i) \\\)

And we also have,

\(\longrightarrow 4x + 40 = y \\\)

from equation (i) , we have ,

\(\longrightarrow 4x + 40 = 90 - x \\\)

\(\longrightarrow 4x + x = 90 +40 \\\)

\(\longrightarrow 5x = 130\\\)

\(\longrightarrow x =\dfrac{130}{5}\\\)

\(\longrightarrow \underline{\underline{x = 26^o}} \\\)

substitute this value in equation (i) ,

\(\longrightarrow y = 90 - 26 \\\)

\(\longrightarrow \underline{\underline{y = 64^o}} \\\)

And we are done!

Answer:

What is the question?

Step-by-step explanation:

Answer:

she will have 22

Step-by-step explanation:

To determine if the lines L1 and L2 are parallel, intersecting, or skew, we can compare the direction vectors of the two lines. The lines L1 and L2 are not parallel or skew; they intersect at a single point.

If the direction vectors are proportional, the lines are parallel; if they are not proportional and the lines do not intersect, they are skew; and if they intersect at a point, the lines intersect.

The direction vector for L1 is given by the coefficients of t: (1, 3, -2).

The direction vector for L2 is given by the coefficients of s: (-3, 1, 4).

To check if the lines are parallel, we can calculate the ratio of the corresponding components of the direction vectors:

(1/-3) = (3/1) = (-2/4)

Simplifying, we have:

-1/3 = 3 = -1/2

Since the ratios are not all equal, the direction vectors are not proportional. Therefore, the lines L1 and L2 are not parallel.vTo determine if the lines intersect or are skew, we need to check if there is a common point that satisfies the parametric equations for both lines.

Setting the x, y, and z values equal for L1 and L2, we have the following system of equations:

1+t = -3+s

-1+3t = 1+s

2-2t = 10+4s

Solving this system of equations, we find that t = 0 and s = -4.

Substituting these values back into the parametric equations, we get:

For L1: x = 1+0 = 1, y = -1+0 = -1, z = 2-0 = 2.

For L2: x = -3+(-4) = -7, y = 1+(-4) = -3, z = 10+4(-4) = -6.

The point (1, -1, 2) lies on L1, and the point (-7, -3, -6) lies on L2.

Since the lines have a common point, we can conclude that L1 and L2 intersect at the point (1, -1, 2).

Therefore, the lines L1 and L2 are not parallel or skew; they intersect at a single point.

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An annual payment is found approximately $617.34. The correct option is e.. $617.34.

To find the size of your payments, you can use the formula for calculating the equal installments on a loan.

First, calculate the annual payment by dividing the borrowed amount ($2,000) by the present value factor of an annuity due with 4 periods at a 9% interest rate.

Using a financial calculator or spreadsheet, the present value factor of an annuity due with 4 periods at 9% interest rate is 3.2403.

Dividing $2,000 by 3.2403 gives us an annual payment of approximately $617.34.
Therefore, the correct answer is e. $617.34.

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Answer:

0.25

Step-by-step explanation:

group like terms: 0.42b+9.14b-8.3=-5.91

add similar elements: 9.56b-8.3=-5.91

multiply both sides by 100: 956b-830=-591

add 830 to both sides: 956b-830+830=-591+830

simplify: 956b=239

divide each side by 956: you know what that looks like

simplify: b=1/4

convert to decimal: 0.25

Answer:

b = 0.25

Step-by-step explanation:

Given:

\(\sf 0.42b - 8.3 + 9.14b = -5.91\)

Collect like terms:

\(\implies\sf 0.42b+ 9.14b - 8.3 = -5.91\)

Combine like terms:

\(\implies \sf 9.56b - 8.3 = -5.91\)

Add 8.3 to both sides:

\(\implies \sf 9.56b - 8.3+8.3 = -5.91+8.3\)

\(\implies \sf 9.56b=2.39\)

Multiply both sides by 100:

\(\implies \sf 9.56b \times 100=2.39 \times 100\)

\(\implies \sf 956b=239\)

Divide both sides by 956:

\(\implies \sf \dfrac{956b}{956}=\dfrac{239}{956}\)

\(\implies \sf b=\dfrac{239}{956}\)

Write 956 as 4 × 239:

\(\implies \sf b=\dfrac{1 \times 239}{4 \times 239}\)

Cancel the common factor 239:

\(\implies \sf b=\dfrac{1}{4}\)

\(\implies \sf b=0.25\)

Answer:

276.32

Like I have explained in a prev. Question of yours.

Answer:

The surface area of cylinder is 276.32 feet²

hope it helps

have a nice day

We cannot construct a confidence interval using the normal approximation in this case because the sample sizes of the control and treatment groups are relatively small (less than 30), and the data does not meet the assumptions required for the normal approximation.

The normal approximation assumes that the data follows a normal distribution, and for sample sizes less than 30, the distribution of the sample mean may not be well approximated by a normal distribution. In addition, the normal approximation assumes that the observations are independent, which may not hold true in this study due to the nature of the treatment and control groups.

If we constructed a confidence interval despite these problems, the interval may not accurately reflect the true difference in survival rates between the control and treatment groups. The interval could be biased or too wide/narrow, leading to incorrect conclusions about the effectiveness of the heart transplant program. Therefore, it is important to use appropriate statistical methods that account for the specific characteristics of the data and study design in order to obtain reliable estimates and valid inferences.

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The correct answer for regression equation is option D: Y = 2X - 3

To find the regression equation for predicting Y from X, we will first need to calculate the slope (b) and the intercept (a) of the regression equation using the given information in the question.

The regression equation is in the form: Y = a + bX

1. Calculate the slope (b):
b = SP/SSX
b = 20/10
b = 2

2. Calculate the intercept (a):
a = MY - b * MX
a = 5 - 2 * 4
a = 5 - 8
a = -3

So, the regression equation is: Y = -3 + 2X based on the given data in the question.

Your answer: D. Y = 2X - 3

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Answer:

The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle

Answer: yes

Step-by-step explanation:

its a scalene triangle so there's no specific shape associated with it but its mostly a right angle

Answer:

which no. buddy??.........

Answer:

(1)...C-1

2-A...(2)

3-B...(3)

(4)....7x-6=0

(5)...7+4x

(6)...5x-10

(7)...5x= -5

x= -1

(8)....-3x= -9

x=3

(9)....x=2

(10...559100t+6423000=11000000

t=4577000/559100=8.18

The point (9, -7) is the only solution to the system of linear inequalities given.

To determine which point would be a solution to the system of linear inequalities, let's substitute the given points into the inequalities and see which point satisfies both inequalities.

The system of linear inequalities is:

y > -4x + 6

y > (1/3)x - 7

Let's test each given point:

For the point (9, -7):

Substituting the values into the inequalities:

-7 > -4(9) + 6

-7 > -36 + 6

-7 > -30 (True)

-7 > (1/3)(9) - 7

-7 > 3 - 7

-7 > -4 (True)

Since both inequalities are true for the point (9, -7), it is a solution to the system of linear inequalities.

For the point (-12, -2):

Substituting the values into the inequalities:

-2 > -4(-12) + 6

-2 > 48 + 6

-2 > 54 (False)

-2 > (1/3)(-12) - 7

-2 > -4 - 7

-2 > -11 (False)

Since both inequalities are false for the point (-12, -2), it is not a solution to the system of linear inequalities.

For the point (12, 1):

Substituting the values into the inequalities:

1 > -4(12) + 6

1 > -48 + 6

1 > -42 (True)

1 > (1/3)(12) - 7

1 > 4 - 7

1 > -3 (True)

Since both inequalities are true for the point (12, 1), it is a solution to the system of linear inequalities.

For the point (-12, -7):

Substituting the values into the inequalities:

-7 > -4(-12) + 6

-7 > 48 + 6

-7 > 54 (False)

-7 > (1/3)(-12) - 7

-7 > -4 - 7

-7 > -11 (True)

Since one inequality is true and the other is false for the point (-12, -7), it is not a solution to the system of linear inequalities.

In conclusion, the point (9, -7) is the only solution to the system of linear inequalities given.

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Answer:

Explanation:

The first step is to determine the exponential function by plotting the corresponding x and y values on the exponential regression plotter. The graph and equation are shown below

x represents the number of years

y represents the number of trees

The exponential equation is

y = 0.73(1.47)^x