1. what is the x of "5x - 4 = 3x + 8"
2. what is the x of "-4x + 7 = -7x - 8"
3. what is the x of "6x + 7 = -4x - 4

The quadratic equation that has the same solution as x² + 12x - 10 = -4 is:

y = a(x + 0.34)(x + 11.66).

A quadratic function is given according to the following rule:

y = ax² + bx + c

\(\Delta = b^2 - 4ac\)

The solutions are:

\(x_1 = \frac{-b + \sqrt{\Delta}}{2a}\)

\(x_2 = \frac{-b - \sqrt{\Delta}}{2a}\)

In which:

\(\Delta = b^2 - 4ac\)

For this problem, the equation is:

x² + 12x - 10 = -4.

In standard format:

x² + 12x - 6 = 0.

Hence the coefficients are a = 1, b = 12, c = -6, and then the solutions are found as follows:

Applying the Factor Theorem, the equation is written as:

y = a(x + 0.34)(x + 11.66).

In which a is the leading coefficient.

There are infinite possible values for the leading coefficient, hence infinite equations with the same solution as the one given.

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Answer:

19x2-7

mark me brainliestt :))

Answer: a and c

Step-by-step explanation:

I know it’s not b but isn’t adjacent angel two angels?

Correct me if I’m wrong

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \:Angle \:\: of \:\: elevation= 30° \)

____________________________________

\( \large \tt Solution \: : \)

Let the angle of elevation be " x "

\(\qquad \tt \rightarrow \: \cos(x) = \dfrac{9 \sqrt{3} }{18} \)

\(\qquad \tt \rightarrow \: \cos(x) = \dfrac{ \sqrt{3} }{2} \)

\(\qquad \tt \rightarrow \: x = \cos {}^{ - 1} \bigg( \cfrac{ \sqrt{3} }{2} \bigg ) \)

\(\qquad \tt \rightarrow \: x = 30 \degree \: \: or \: \: \cfrac{ \pi}{6} \: \: rad\)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

The angle is 60 degree.

Step-by-step explanation:

First of all, we will find the height if the tree by using Pythagorean theorm.

Let, height of tree be x.

18^2=(9(3^1/2))^2+x^2

324=243+x^2

x^2=324-243

x^2=81

x=9

Now, let the angle be y.

tan y= x/base

tan y=9/9×(3^1/2)

tan y=1.73

y=cot 1.73

y= 60

Answer:

\(C = (\frac{21}{5},\frac{33}{5})\)

Step-by-step explanation:

Given

Points: (1, 9) and (9, 3)

Ratio = 2/3

Required

Determine the coordinate of the center

Represent the ratio as ratio

\(Ratio = 2:3\)

The new coordinate can be calculated using

\(C = (\frac{mx_2 + nx_1}{n + m},\frac{my_2 + ny_1}{n + m})\)

Where

\((x_1,y_1) = (1, 9)\)

\((x_2, y_2) = (9, 3)\)

\(m:n = 2:3\)

Substitute these values in the equation above

\(C = (\frac{2 * 9 + 3 * 1}{3 + 2},\frac{2 * 3 + 3 * 9}{2 + 3})\)

\(C = (\frac{18 + 3}{5},\frac{6 + 27}{5})\)

\(C = (\frac{21}{5},\frac{33}{5})\)

Hence;

The coordinates of the new center is \(C = (\frac{21}{5},\frac{33}{5})\)

Answer:

$900

Step-by-step explanation:

First we find the amount of the tip by finding 20% of $750.

20% of $750 = 20/100 × $750 = 0.2 × $750 = $150

Now we add the amount of the tip to the $750 charge to find the total charge.

$750 + $150 = $900

Given

So, we replace b=1/6 in the previous expression

Applying fraction properties

Simplify

Answer: 2/3

The zeros  of the function f(x) = x³ - 3x² + x - 3 are approximately x ≈ -1.73, x ≈ 0.87, and x ≈ 2.86.

To find the zeros of the function, we need to solve the equation f(x) = 0. In this case, the equation becomes:

x³ - 3x² + x - 3 = 0.

Unfortunately, there is no simple algebraic method to find the exact zeros of a cubic equation like this. However, we can use numerical methods or graphing techniques to approximate the zeros.

One approach is to use the Rational Root Theorem to test potential rational roots of the equation. The Rational Root Theorem states that if a rational number p/q is a root of a polynomial equation with integer coefficients, then p must be a factor of the constant term (in this case, -3) and q must be a factor of the leading coefficient (in this case, 1).

By testing the possible rational roots of the form ±(factor of 3) / (factor of 1), we can find some potential solutions. We can then use synthetic division or polynomial long division to further simplify the equation and find the remaining zeros.

By applying these methods, we find that the zeros of the function f(x) = x³ - 3x² + x - 3 are approximately x ≈ -1.73, x ≈ 0.87, and x ≈ 2.86. These values represent the x-intercepts or roots of the equation, where the function crosses the x-axis.

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Step-by-step explanation:

gud eve.

good nigth

ilove you

Answer:

option d -1 is the answer

Answer:

I think C (19) might be wrong though

Let the time spent in walking = x minutes

And the time spent in jogging = y minutes

If I walk with the speed = 0.05 miles per minute

Distance covered in walking = Speed × Time

                                                 = 0.05x miles

If I jog with the speed = 0.1 miles per minute

Distance covered in jogging = Speed × Time

                                                 = 0.1y miles

Since, screen displays the distance covered in walking and jogging = 2.5 miles

Equation for the situation will be,

0.05x + 0.1y = 2.5

5x + 10y = 250

x + 2y = 50 -------(1)

Total time spent in walking and jogging = 30 minutes

Therefore, equation for the situation will be,

x + y = 30 ----- (2)

By subtracting equation (2) from equation (1),

(x + 2y) - (x + y) = 50 - 30

y = 20 minutes

By substituting the value of y in equation (2),

x + 20 = 30

x = 10 minutes

Therefore, time spent in walking is 10 minutes and time spent in jogging is 20 minutes.

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The effective annual rate of return on her investment over the 3-year period is 23.95%.

Given that Joy Holmes purchased a house in January 2004 for $304000. In January 2007, she sold the house and made a net profit of $73000. Now, we are to find the effective annual rate of return on her investment over the 3-year period.

To find the effective annual rate of return on her investment, we need to use the formula; \(EARR = \left[{{\left( {1 + \frac{{nominal\;interest\;rate}}{m}} \right)}^m} - 1\right]\times 100\%\)

Where, m = number of compounding periods in a year

Nominal interest rate = Total profit earned / Initial Investment

Total profit earned = Net profit + initial investment = $304000 + $73000 = $377000

Nominal interest rate = $377000/$304000 = 1.2395

EARR = $\left[{{\left( {1 + \frac{{1.2395}}{1}} \right)}^1} - 1\right]\times 100\%$ = 23.95%

Hence, the effective annual rate of return on her investment over the 3-year period is 23.95%.

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Answer: 1/7

Step-by-step explanation: The points create a posotive line so the answer has to be posotive. You then have to look at the rise over run. (0,1) is 1 unit higher than (-7,0) and the run is the ditance between the 2 x exvalues. 7. Rise/run = 1/7

there are 4 kittens with white spots but not long tails (in the left part of the white spots circle), 2 kittens with long tails but not white spots (in the lower part of the long tails circle), and 1 kitten with both white spots and long tail (in the overlap of the circles).

Sure! So let's start by drawing a Venn diagram with two circles, one for the white spots and one for the long tails.

In the white spots circle, we'll put 8 kittens, since that's how many have white spots. In the long tails circle, we'll put 3 kittens, since only the twins and the other kitten have long tails.

In the middle where the circles overlap, we'll put one kitten, since that's how many have both white spots and long tails.

So our Venn diagram looks like this:

      ________________
     |      |         |
     |  8   |    1    |
     |______|________|
           \   /
            \ /
             X
            / \
           /   \
       4  /     \  1
         /       \
        /         \
       |           |
       |     2     |
       |___________|

So there are 4 kittens with white spots but not long tails (in the left part of the white spots circle), 2 kittens with long tails but not white spots (in the lower part of the long tails circle), and 1 kitten with both white spots and long tail (in the overlap of the circles).

I hope that helps! Let me know if you have any other questions.
Hi! I understand that you would like a Venn diagram to represent the given information about kittens. Here's the answer with the terms you provided:

We'll represent the given information using a Venn diagram with two circles. One circle will represent kittens with white spots (W), and the other circle will represent kittens with long tails (L).

1. A cat has thirteen kittens.
2. Eight of the kittens have white spots.
3. Seven of the kittens have at least one of these traits (white spots or long tails).
4. One kitten has both white spots and a long tail.

Now, let's organize this information in a Venn diagram:

- There are 13 kittens in total.
- In the "W" circle (white spots), place the number 7 (8 kittens with white spots minus the 1 kitten with both traits).
- In the "L" circle (long tails), place the number 0 (1 kitten with both traits is already included in the "W" circle).
- In the intersection of both circles (kittens with both white spots and long tails), place the number 1.
- Outside the circles, place the number 5 (13 total kittens minus the 8 kittens represented in the circles).

So, in the Venn diagram, you'll have:

- W circle: 7
- L circle: 0
- Intersection (W & L): 1
- Outside circles: 5

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Answer:

Area

4 and width 8 equals 32

Perimeter

length 4 and width 8 equals 24

Area

length 20 and width 22 equals 440

Perimeter

length 20 and width 22 equals 88

Area

length 12 and width 8 equals 96

Perimeter

length 12 and width 8 equals 40

Area

length 15 and width 20 equals 300

Perimeter

length 15 and width 20 equals 70

Isn't this what you are asking for or is it something else. I hope this helps, If I did the answer wrong tell me and I will change it

In a competitive market, we need to graph the market demand and supply curves and determine the equilibrium quantity. The equilibrium quantity represents the quantity at which the demand and supply curves intersect.

To sketch the supply and demand curves, we first need to gather information on the market demand and supply. The demand curve represents the quantity of ventilators that the four hospitals are willing to purchase at different prices, while the supply curve represents the quantity of ventilators that the four producers are willing to sell at different prices.

Using the multipoint drawing tool, we can plot the market demand curve based on the data provided for the hospitals. Label this line as 'Demand'. Next, using the same tool, we can plot the market supply curve based on the data provided for the producers. Label this line as 'Supply'.

The equilibrium quantity is determined at the point where the demand and supply curves intersect. It represents the quantity of ventilators that will be sold in the market. To find this point, we identify the quantity at which the demand and supply curves meet on the graph.

By following the instructions and accurately plotting the demand and supply curves, we can determine the equilibrium quantity of ventilators sold in the market.

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Answer:

8, 0

Step-by-step explanation:

Answ er:

( x +  2 y  −  9  ) ( x  +  9 )

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula,  

a ^2  −  b ^2 =  ( a + b )  ( a − b )  where  a  =  x  +  y  and  b  =  y  −  9 .

( x +  2 y  −  9  ) ( x  +  9 )

The given system of differential equations can be analyzed using a Lyapunov function of the form ax^2 + cy^2, where a and c are to be determined. By computing the derivative of this function along the trajectory of the system, we can determine the stability properties of the critical point at the origin.

First, we compute the derivative of the Lyapunov function along the trajectory of the system:

V'(x,y) = 2ax(x^3 + xy^2) + 2cy(xy' - 2x^2y)

Using the second equation of the system, we can substitute y' = x^3 + xy^2 - 2x^2y to obtain:

V'(x,y) = 2ax(x^3 + xy^2) + 2cy(x^3 + xy^2 - 2x^2y - 2x^2y)

Simplifying this expression yields:

V'(x,y) = 2x(x^2 + y^2)(a + c - 4ac)

For the critical point at the origin to be asymptotically stable, we need V'(x,y) to be negative definite in a neighborhood of the origin. This can be achieved by choosing a and c such that a + c - 4ac < 0 and a, c > 0. For example, we can choose a = 1/4 and c = 1/2, which gives a + c - 4ac = -1/4.

Therefore, the critical point at the origin is asymptotically stable. This means that any trajectory that starts sufficiently close to the origin will converge to the origin as t approaches infinity. The Lyapunov function provides a way to analyze the stability of the critical point without solving the system explicitly, which can be useful for more complex systems.

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Answer:

c

Step-by-step explanation:

Answer

AD || BC

Slope of AB = 0

Slope of DC = 0

AB || DC

Step-by-step explanation

The slope, m, of the line that passes through the points (x₁, y₁) and (x₂, y₂) is calculated as follows:

Line AD passes through A(0, 0) and D(2j-b, 2k), then its slope is:

Line BC passes through B(b, 0) and C(2j, 2k), then its slope is:

Given that sides AD and BC have the same slope, then they are parallel, that is,

Line AB passes through A(0, 0) and B(b, 0), then its slope is:

Line DC passes through D(2j-b, 2k) and C(2j, 2k), then its slope is:

Given that sides AB and DC have the same slope, then they are parallel, that is,

(a). The estimation results may not be reliable.

(b). The correct regression model is: Y = Bo + B₁X + u where X is randomized based on covariate W₁ and u is the error term.

(c). The measurement errors are not random, but systematic, they can lead to biased parameter estimates and erroneous statistical inference.

(d).  The variance of the error term is low, the t-statistics will be large, and the hypothesis tests will be more powerful.

(1). The term that contains the information of W in the above regression is B₁X₁. If X, and W, are negatively correlated, then the OLS estimator of B₁ becomes less precise. In other words, the standard errors of the coefficient estimates increase because the covariance between the explanatory variables is negative, and the variance of the OLS estimator increases as a result.

Hence, the estimation results may not be reliable.

(2). A randomized regression model is a regression model in which a treatment is randomly assigned to the subjects in the sample. The model is used to test whether the treatment affects the outcome variable.

The correct regression model is: Y = Bo + B₁X + u where X is randomized based on covariate W₁ and u is the error term.

(3). Yes, measurement errors in the dependent variable can cause problems in the ordinary least square estimation. In this case, the errors are called measurement errors, which are due to inaccuracies in the measurement of the dependent variable.

If the measurement errors are not random, but systematic, they can lead to biased parameter estimates and erroneous statistical inference.

(4). The variance of the error term affects hypothesis testing of the regression in the following way: If the variance of the error term is high, it means that the noise in the data is large, and hence the accuracy of the parameter estimates is low.

As a result, the t-statistics will be small, and the hypothesis tests will be less powerful.

Conversely, if the variance of the error term is low, the t-statistics will be large, and the hypothesis tests will be more powerful.

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(1). The estimation results may not be reliable.

(2). The correct regression model is: Y = Bo + B₁X + u.

(3). The measurement errors are not random, but systematic, they can lead to biased parameter estimates and erroneous statistical inference.

(4).  The variance of the error term is low, the t-statistics will be large, and the hypothesis tests will be more powerful.

(1). The term that contains the information of W in the above regression is B₁X₁. If X, and W, are negatively correlated, then the OLS estimator of B₁ becomes less precise. Hence, the estimation results may not be reliable.

(2). The model is used to test whether the treatment affects the outcome variable. The correct regression model is: Y = Bo + B₁X + u where X is randomized based on covariate W₁ and u is the error term.

(3). Yes, measurement errors in the dependent variable can cause problems in the ordinary least square estimation.

(4). The variance of the error term affects hypothesis testing of the regression in the following way: If the variance of the error term is high, it means that the noise in the data is large, and hence the accuracy of the parameter estimates is low.

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Answer:Sin2 theta sec theta = 2 sin theta

Starting with the left-hand side, we can use the identity for sin(2θ):

sin(2θ) = 2sin(θ)cos(θ)

Then, we can substitute this into the left-hand side:

sin(2θ) sec(θ) = 2sin(θ)cos(θ) / cos(θ)

Simplifying the right-hand side, we get:

2sin(θ)

Canceling out the common factor of cos(θ), we get:

sin(2θ) sec(θ) = 2sin(θ)

Therefore, sin2 theta sec theta= 2 sin theta is true.

Csc (θ + 2π) = csc θ

We can use the identity for the cosecant function:

csc(θ) = 1/sin(θ)

Then, we can substitute θ + 2π for θ in the right-hand side:

csc(θ + 2π) = 1/sin(θ + 2π)

Using the periodicity property of the sine function, we know that sin(θ + 2π) = sin(θ). Therefore, we can substitute sin(θ) for sin(θ + 2π):

csc(θ + 2π) = 1/sin(θ)

Which is equivalent to csc θ.

Therefore, Csc (θ + 2π) = csc θ is true.

Tan (θ - π/2) = -cot θ

We can use the identity for the tangent and cotangent functions:

tan(θ) = sin(θ)/cos(θ)

cot(θ) = cos(θ)/sin(θ)

Substituting θ - π/2 for θ in the left-hand side of the equation:

tan(θ - π/2) = sin(θ - π/2)/cos(θ - π/2)

Using the trigonometric identities for sine and cosine, we get:

sin(θ - π/2) = cos(π/2 - θ)

cos(θ - π/2) = sin(π/2 - θ)

Substituting these identities into the equation, we get:

tan(θ - π/2) = cos(π/2 - θ) / sin(π/2 - θ)

Using the identity for the cotangent function, we can simplify the right-hand side:

cos(π/2 - θ) / sin(π/2 - θ) = cot(π/2 - θ) = cot(θ)

Multiplying the numerator and denominator of the left-hand side by -1, we get:

tan(θ - π/2) = -cos(θ) / sin(θ) = -cot(θ)

Therefore, Tan (θ - π/2) = -cot θ is true.

Cot (θ + π/2) = -tan θ

We can use the identity for the cotangent and tangent functions:

cot(θ) = cos(θ)/sin(θ)

tan(θ) = sin(θ)/cos(θ)

Substituting θ + π/2 for θ in the left-hand side of the equation:

cot(θ + π/2) = cos(θ + π/2) / sin(θ + π/2)

Using the trigonometric identities for sine and cosine, we get:

cos(θ + π/2) = -sin(θ)

sin(θ + π/2) = cos(θ)

Substituting these identities

Step-by-step explanation:

The location of the coin next to the convex side of a thin spherical glass shell is 3.68 cm.

According to the question,

Radius of curvature : 19 cm

Size of image formed : 1.5cm

Distance of coin from glass shell : 6.5cm

The position of the coin placed next to the convex side of a thin spherical glass shell is calculated as follows;

1/d = 1/f - 1/d'

where;

d' is the position of the coin's image

d position of the coin

f is focal length

Focal length = r/2 =19/ 2 = 9.5 cm

=> 1/d = 1/9.5 - (-1/6.5)

=> 1/d = 1/9.5 + 1/6.5

=> 1/d = 0.1052 + 0.1538

=> 1/d = 0.259

=>d = 1/0.259

d = 3.86 cm

Thus, the position of the coin placed next to the convex side of a thin spherical glass shell is 3.86 cm.

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The correct answer is c. Inferential Statistics.

Inferential statistics is the branch of statistics that allows for drawing conclusions about a population based on the information collected from a sample. When conducting research or surveys, it is often impractical or impossible to collect data from an entire population.

Instead, a representative sample is chosen, and inferential statistics are used to make inferences or predictions about the larger population. By analyzing the characteristics and patterns observed within the sample, inferential statistics enable researchers to make generalizations or draw conclusions about the population as a whole.

This process involves applying various statistical techniques, such as hypothesis testing and confidence intervals, to estimate population parameters and assess the reliability of the conclusions. Magnitude statistics, central tendency, and effect size are important concepts in statistics, but they do not specifically address the ability to draw population-level conclusions from sample data.

Magnitude statistics focuses on the size of the effect or relationship between variables, central tendency measures summarize the central values of a dataset, and effect size quantifies the strength of an effect or relationship.

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Answer:

quadrant 1 that the graph is mainly in

Answer:

x = 9

x = 1

Step-by-step explanation: