In the figure below, a ∥
∥
b, ∠
∠
1 = 9x - 4 and ∠
∠
2 = 13x - 32. What is ∠
∠
3

Circle the first line.

His mistake was: He substituted y from 2nd equation in 1st equation incorrectly. There is a minus sign before y and it wasn't taken into the account.

The correct steps are:

2x - y = 18

2x - (4x + 2) = 18

2x - 4x - 2 = 18

-2x - 2 = 18

-2x = 20

x = -10

y = 4x + 2

y = 4(-10) + 2

y = -40 + 2

y = -38

Answer:

y = 4

Step-by-step explanation:

I think you meant

2(4y - 9 ) = 14

Multiply:

2 ×4y = 8y

2× 9 = 18

Thus, we have

8y-18 = 14

Now add 18 to both sides

8y-18+18=14+18

Simplify

8y  = 32

Solution:

y = 4

Hence y = 4.

Kavinsky

a)   The velocity of the object at t = 10.0 s is 645.9 m/s.

b)    The object is at rest at t = -0.87 s and t = 0.62 s.

c)    The acceleration of the object at t = 0.50 s is 7.20 m/s^2.

A. To find the velocity of the object at t = 10.0 s, we need to take the derivative of the position function with respect to time:

v(t) = 3At^2 + 2Bt + C

Plugging in the given constants, we get:

v(10.0) = 3(2.10)(10.0)^2 + 2(1.00)(10.0) - 4.10

v(10.0) = 630.0 + 20.0 - 4.10

v(10.0) = 645.9 m/s

Therefore, the velocity of the object at t = 10.0 s is 645.9 m/s.

B. The object is at rest when its velocity is zero. So, we need to find the value(s) of t that make v(t) = 0. Using the same velocity function from part (A), we can set it equal to zero and solve for t:

3At^2 + 2Bt + C = 0

Plugging in the given constants, we get a quadratic equation:

6.30t^2 + 2.00t - 4.10 = 0

Using the quadratic formula, we can solve for t:

t = (-2.00 ± sqrt(2.00^2 - 4(6.30)(-4.10))) / (2(6.30))

t = (-2.00 ± sqrt(104.80)) / 12.60

t = (-2.00 ± 10.24) / 12.60

t = -0.87 s or 0.62 s

Therefore, the object is at rest at t = -0.87 s and t = 0.62 s.

C. To find the acceleration of the object at t = 0.50 s, we need to take the derivative of the velocity function with respect to time:

a(t) = 6At + 2B

Plugging in the given constants, we get:

a(0.50) = 6(2.10)(0.50) + 2(1.00)

a(0.50) = 7.20 m/s^2

Therefore, the acceleration of the object at t = 0.50 s is 7.20 m/s^2.

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Answer:

there are 4 terms and x is the constant

Answer:

A: 6 boxes right, 9 boxes down, 9 boxes left, connect back to start.

B: 3 boxes right, 9 boxes up, (diagonal 6 right, 12 down), 9 boxes up, 6 boxes right.

C: 1 box right, 2 boxes down, 1.5 boxes right, 1 box up, .5 box right, 2.5 boxes down, 3 boxes left, 3.5 boxes up to connect.

D: (diagonal 1 up, 1 right), 1 box right, (diagonal 1 down, 1 right), 1 box down, (diagonal 3 down, 3 left), 3 boxes left

Step-by-step explanation:

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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The probability that the doctor makes an incorrect diagnosis and the patient sues is 0.27.

The probability that a doctor correctly diagnoses a particular illness is 0.7.

P(A) = 0.7

Therefore, the probability that a doctor incorrectly diagnose illness is,

P(A)' = 1-0.7 = 0.3

IF the doctor made a  incorrect diagnosis, the probability that the patient files a lawsuit is 0.9.

P(B) = 0.9

The probability of doctor makes an incorrect diagnosis and the patient sues,

P(C) = 0.3 * 0.9 = 0.27

The probability that the doctor makes an incorrect diagnosis and the patient sues is 0.27.

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Answer:

Easiest to pick (0, 0) and (1, 1) probably, then slope is 1.

Step-by-step explanation:

Rise over run for (0, 0) and (1, 1)  is rise up 1 and run over 1, so 1/1.

This means slope is 1

The 99% confidence interval estimate for the difference between the percentages of married elderly men and women is (0.0741, 0.2659).

To determine a 99% confidence interval estimate for the difference between the percentages of elderly men and women who were married, we can use the formula for the confidence interval of two proportions:

CI = (p1 - p2) ± Z * √[(p1 * (1-p1) / n1) + (p2 * (1-p2) / n2)]

Where p1 and p2 are the proportions of married elderly men and women, n1 and n2 are the sample sizes, and Z is the Z-score for a 99% confidence level (which is 2.576).

First, convert the percentages to proportions:
p1 = 0.65 (65% married elderly men)
p2 = 0.48 (48% married elderly women)
n1 = 300 (sample size of elderly men)
n2 = 400 (sample size of elderly women)

Now, plug the values into the formula:

CI = (0.65 - 0.48) ± 2.576 * √[((0.65 * 0.35) / 300) + ((0.48 * 0.52) / 400)]
CI = 0.17 ± 2.576 * √[(0.2275 / 300) + (0.2496 / 400)]
CI = 0.17 ± 2.576 * √(0.00075833 + 0.000624)
CI = 0.17 ± 2.576 * √(0.00138233)
CI = 0.17 ± 2.576 * 0.0372
CI = 0.17 ± 0.0959

Thus, the 99% confidence interval estimate for the difference between the percentages of married elderly men and women is (0.0741, 0.2659).

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The formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2. So, the answer to the question is (N2 - 1)/2.

In a complete graph, each vertex is connected to all other vertices. Therefore, to find the number of edges in a complete graph, Kn, we need to consider the number of ways of choosing two vertices from the set of n vertices and connecting them.So, the formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2So, the answer to the question is (N2 - 1)/2. Therefore, the correct option is (D).Answer in 120 wordsA complete graph is one in which each pair of distinct vertices is connected by a unique edge. The number of edges in a complete graph is determined by the number of vertices in the graph. To find the number of edges in a complete graph with n vertices, we must first consider the number of ways to choose two vertices from the set of n vertices. After that, we must connect those two vertices.

Each pair of vertices produces an edge in a complete graph, and since the edges are undirected, we must divide by two to avoid double-counting. The formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2. So, the answer to the question is (N2 - 1)/2.

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The system of linear equations which has the rank of coefficient matrix equal to augmented matrix and equal to the number of unknowns, has only one solution called the unique solution.

Two types of system of equations exist- consistent and inconsistent.

Inconsistent means that it has no solution , i.e. the solution does not exist , here

Rank of augmented matrix is not equal to that of coefficient matrix.

Consistent system means a solution of the equation exists i.e.

rank of augmented matrix = rank of coefficient matrix.

Now, a consistent system can be of two types again - It may have a unique solution ,i.e.

rank of augmented matrix = rank of coefficient matrix = no. of unknowns

or an infinite number of solutions, where

rank of augmented matrix = rank of coefficient matrix < no. of unknowns   (here we need to assign an arbitrary value to a free variable to find its solutions).

For e.g. let us consider the system -

x + y+ z = 0

2x + 3y + 4z = 1

Since , (0,0,0) is obviously satisfying the equation and so is a solution to this system , the given system is a consistent system .

Also, for a system to be consistent , either a unique solution exists or an infinite number of solutions exist. There is no particular number of solutions.

Here, we see that (-1,1,0) is also a solution other than the zero solution.

We can clearly see that the number of unknown variables , x,y,z is 3 and the number of equations is 2.

Thus, The system if there are fewer equations than variables has infinite solutions, equal number of equations as the unknowns has the unique solution.

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The statement "The total amount of time that she ran is called intensity" is False.

Intensity is the degree of effort you put into physical exercise. It measures how hard you are exercising. The intensity of exercise may be determined by a variety of things, including heart rate, perceived exertion, power output, and speed. Your target heart rate is the heart rate range that is recommended during exercise to ensure that you are exercising effectively and safely. It varies depending on a variety of things, including age, weight, and overall fitness level. Your target heart rate range is calculated using a specific formula based on your maximum heart rate. This is the upper limit of your heart rate. 70 percent of this value is then used to find the lower limit, which is 70% of her target heart rate.

In summary, the statement "The total amount of time that she ran is called intensity" is False since Intensity is the degree of effort you put into physical exercise. The total amount of time that one runs is referred to as Duration.

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Answer:

try D

Step-by-step explanation:

it's the closest I could get on Desmos

Answer:

D.

Step-by-step explanation:

Null hypothesis: H₀ : μ = 55

Alternative hypothesis: H₁: μ \(\neq\) 55

Given,

Rating = 55 mpg

For a two-tailed alternative hypothesis, it involves the "not equal to symbol,≠ ". This can never be in the null hypothesis. In order to reject the null hypothesis, the test statistic must be smaller than the critical value on the left tail or greater than the critical value on the right tail.

the claim is the jeep has a 55 mpg rating and we want to test whether the rating is correct or incorrect. So, it is a two-tailed hypothesis because the rating can be less than or more than 55 mpg.

Therefore, H₀ : μ = 55

H₁: μ \(\neq\) 55

These are the required null and alternative hypotheses.

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Answer:

The correct answer is...

Fernando incorrectly found the product of –2 and –5.

I hope this helps! Have a nice day!

Answer:

1: square inch

2: both take an amount of space

3: cubic inch

Hope this Helps!

Answer:

75%

Step-by-step explanation:

the question can be '12 is what percent of 16'?

we can use this proportion:  let 'd' = discount

is/of = %/100

12/16 = d/100

cross-multiply to get:

16d = 1200;  d = 1200/16

which is 75 percent

After considering the given data we conclude that the answer for the sub questions are
a) Jeff consumes 33.33 units of good x.
b) the compensating variation is:
\(CV=W'-W=2(50)-200=-100CV\)
c) The income effect is negative, indicating that Jeff will consume less of good x due to the decrease in purchasing power caused by the price increase.

a. To find Jeff's demand function for good x, we can use the following equation:
\(\frac{\partial U}{\partial x}=\frac{1}{x}=\frac{p_x}{p_y}=\frac{1}{2}\)
Solving for x, we get:
\(x=\frac{1}{2}y\)
Substituting the given values, we get:
\(x=\frac{1}{2}(200/3)=33.33\)
Therefore, Jeff consumes 33.33 units of good x.
b. If Px increases to 2, the new demand function for good x is:
\(x'=\frac{1}{2}y'\)where y'  is the amount of good y consumed at the new prices and income. To find the compensating variation, we need to find the amount of income Jeff would need at the original prices to achieve the same level of utility as he does at the new prices. We can use the following equation:
\(W'=W+CV\) where W is the original income, W' is the new income, and CV is the compensating variation.
Substituting the given values, we get:
\(8.51=\ln(33.33)+\ln(66.67)8.51=ln(33.33)+ln(66.67)\)
\(y'=\frac{W'}{2}\)
\(x'=\frac{1}{2}y'\) Solving for y', we get:
y'=100
Solving for x', we get:
x'=50
Therefore, the compensating variation is:
\(CV=W'-W=2(50)-200=-100CV\)
c. To calculate the total effect, substitution effect, and income effect of the price change, we can use the following equations:
\(TE=\frac{\Delta U}{U_0}\)
\(SE=\frac{\Delta x_s}{x_0}\)
\(IE=\frac{\Delta x_i}{x_0}\)where \(\Delta U\)is the change in utility, \(U_0\) is the initial utility,\(\Delta x_s\) is the change in consumption due to the substitution effect, \(x_0\) is the initial consumption, and \(\Delta x_i\) is the change in consumption due to the income effect.
The change in consumption due to the price change can be calculated as:
as:
\(\Delta x=x'-x_0=\frac{1}{2}y'-\frac{1}{2}y_0\)
where \(y_0=2x_0\) and \(y'=2x'\)
Substituting the given values, we get:
\(\Delta x=x'-x_0=50-33.33=16.67\)
The substitution effect can be calculated as:
\(SE=\frac{\Delta x_s}{x_0}=\frac{x_s'-x_0}{x_0}=\frac{1}{2}\frac{y_0-y_s'}{x_0}=\frac{1}{2}\frac{p_x}{p_y}\frac{y_0}{x_0}\)
Substituting the given values, we get:
\(SE=\frac{1}{2}\frac{1}{2}\frac{2x_0}{4x_0}=\frac{1}{4}\)
The income effect can be calculated as:
\(IE=\frac{\Delta x_i}{x_0}=\frac{\Delta W}{W_0}=\frac{CV}{W_0}\)
Substituting the given values, we get:
\(IE=\frac{-100}{200}=-0.5\)
The total effect can be calculated as:
\(TE=SE+IE=\frac{1}{4}-0.5=-0.25\)
Therefore, the total effect of the price change is negative, indicating that Jeff will consume less of good x as a result of the price increase. The substitution effect is positive, indicating that Jeff will consume more of good x due to the relative price change. The income effect is negative, indicating that Jeff will consume less of good x due to the decrease in purchasing power caused by the price increase.
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We can simply multiply the subsequent probabilities of losing each game. = 12.9%.

According to our question-

we can simply multiply the subsequent probabilities of losing each game. So (3/5 * 3/5

* 3/5 * 3/5)

= 81/625

= .129 = 12.9%

Hence, We can simply multiply the subsequent probabilities of losing each game. = 12.9%.

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Therefore, the exact length of the polar curve r = 3 sin(θ), where 0 ≤ θ ≤ π/3, is π units.

To find the exact length of the polar curve r = 3 sin(θ), where 0 ≤ θ ≤ π/3, we can use the arc length formula for polar curves:

Length = ∫[θ1 to θ2] √(r^2 + (dr/dθ)^2) dθ

In this case, we have:

r = 3 sin(θ)

dr/dθ = 3 cos(θ)

Substituting these values into the arc length formula, we get:

Length = ∫[0 to π/3] √((3 sin(θ))^2 + (3 cos(θ))^2) dθ

Simplifying, we have:

Length = ∫[0 to π/3] √(9 sin^2(θ) + 9 cos^2(θ)) dθ

Length = ∫[0 to π/3] √(9 (sin^2(θ) + cos^2(θ))) dθ

Length = ∫[0 to π/3] √(9) dθ

Length = ∫[0 to π/3] 3 dθ

Length = 3θ |[0 to π/3]

Length = 3(π/3 - 0)

Length = π

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Answer: 9 skittles are red

Answer:

9

Step-by-step explanation:

30/100×30

=3/10×30

=3/1×3

=9

The way that the correlation will be affected if the units are changed from minutes to seconds is that the correlation will still be the same.

Correlation simply means a statistical measure which expresses the extent to which two variables are linearly related.

From the information, it was stated that twenty-five trials are completed and the correlation coefficient between typing speed and time is determined to be -0.622.

In this case, even when the units for time are changed from minutes to seconds, the correlation won't change. This is because the change in units has no effect on the correlation.

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Answer:

The correlation would stay the same because the change in units for time would have no effect on it.

Step-by-step explanation:

Answer:

B or C or A or E or D i dont know

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The result of the multiplication must end in 0 so A, D nor E are the answer.

Consider B:

34 * 45

Neither of the numbers are divisible by 7 so it's not this one.

It's C because:

56 is divisible by 1, 2,4,7,8 and

45 is divisible by 3, 5, 9

The factors contain 2 and 3 so its also divisible by 2*3 = 6.

The product ends in 0 so its also divisible by 10.

Answer:

Below

Step-by-step explanation:

.014 g / .0022 cm^3   = 6.364  gm / cc   = 6364 kg/m^3

    density is too low to be pure gold  

Answer:

log4 (116)=−2

Step-by-step explanation:

Convert the exponential equation to a logarithmic equation using the logarithm base (4)(4) of the right side (116)(116) equalsthe exponent (−2)(-2).

Answer: I recommend starting treatment immediately. If you take more than 8 days to make a decision, the disease can no longer be cured because it will affect more than 50% of the body.

Step-by-step explanation:

The percentage of the body affected by the disease is a function of the number of days:  

This percentage is a dependent variable and the number of days is the independent variable.

If we give values to d, we can calculate the percentage of the body affected by the disease.

P(1)= 6·1 + 5 = 11%

P(2)= 6·2 + 5 = 17%

P(3)= 6·3 + 5 = 23%

P(4)= 6·4 + 5 = 29%

P(5)= 6·5 + 5 = 35%

P(6)= 6·6 + 5 = 41%

P(7)= 6·7 + 5 = 47%

P(8)= 6·8 + 5 = 53%

Depending on the days since the beginning of the disease, the doctors have a treatment for a different stage.

Starting immediately, the treatment will be stage 1: less than 15%

Starting on day 2 or 3, the treatment will be stage 2: 15-25%

After day 3, the treatment will be stage 3: 25-50%

After day 8, there is no cure: more than 50% of the body is affected by the disease.

I recommend starting treatment immediately. If you take more than 8 days to make a decision, the disease can no longer be cured because it will affect more than 50% of the body.

Answer:

7.5

Step-by-step explanation:

Luis's school is 7.5 miles from his home <3

Answer:

The maximum revenue Luci can make selling cookies in one day is $2,000.

The price she should sell the cookies to make the maximum revenue is $1

Step-by-step explanation:

W are given the following in the question:

x= -2000 p + 4000 ................ (1)

Therefore, revenue can be obtained as follows:

Revenue = R = px = p(-2000 p + 4000) = -2000p^2 + 4000p ........... (2)

Differentiating equation (2) with respect to p and equate to 0, we have:

dR / dp = -4000p + 4000 = 0 ................. (3)

From equation (3), we solve for p as follows:

-4000p + 4000 = 0

4000 = 4000p

p = 4000 / 4000

p = 1

Therefore, this implies that the price she should sell the cookies to make the maximum revenue is $1.

Substituting p = 1 into (2), we have:

Revenue = (-2000 * 1^2) + (4000 * 1)

Revenue = -2000 + 4000

Revenue = 2000

Therefore, this implies that the maximum revenue Luci can make selling cookies in one day is $2,000.

Answer:

14

Step-by-step explanation:

The Lewis dot structure for BF2 is:

 F     B     F

  \   /    

   B    

  /   \

 F     B     F

In this molecule, there are three atoms (one boron and two fluorine) and a total of 12 valence electrons. Boron is in group 3, so it has 3 valence electrons, while each fluorine atom has 7 valence electrons.

To form the Lewis dot structure, we first place the atoms in a linear arrangement. Each fluorine atom shares one electron with the boron atom, giving a total of two shared electrons (or one bond) between the boron and each fluorine atom. This gives us a total of four electrons (or two bonds) between the boron and the two fluorine atoms.

The remaining four electrons are placed as nonbonding electron pairs around each fluorine atom to satisfy the octet rule. Therefore, there are a total of two bonding domains and two nonbonding electron domains around the boron atom. The electron domain geometry is tetrahedral, and the molecular geometry is linear.

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