HURRYYYYY

When substituting 2x - 4 for y in the
second equation, what will the new
equation look like?

y = mx + b
y = 2x - 4
y = -3x + 1
2x - 4 = -3x + 1

Therefore, the sum of the first 1234 terms of this sequence is 1234.

To find the sum of the first 1234 terms of the sequence consisting of 1's separated by blocks of 2's with n 2's in the nth block, we need to determine the number of blocks and the number of 1's in each block.

Let's examine the pattern of the sequence:

Block 1: 2's

= 1's

= 1 (1 2)

Block 2: 2's

= 2's

= 22 (1 22 1)

Block 3: 2's

= 3's

= 222 (1 222 1)

Block 4: 2's

= 4's

= 2222 (1 2222 1)

...

We observe that the number of 2's in each block is equal to the number of the block itself. So, in the nth block, there are n 2's.

Now, let's calculate the number of blocks required to reach the 1234th term:

To find the number of blocks, we need to determine the maximum block number before the 1234th term. We can calculate this by finding the sum of the series 1 + 2 + 3 + ... + n until the sum is greater than or equal to 1234.

The formula for the sum of the series 1 + 2 + 3 + ... + n is given by: S = (n/2)(n+1).

Let's solve this equation:

(n/2)(n+1) = 1234

\(n^2 + n - 2468 = 0\)

Using the quadratic formula:

n = (-1 + √(1 + 4*2468)) / 2

n ≈ 61.76

Since n must be a whole number, we take the ceiling of n, which gives us 62.

Therefore, there are 62 blocks in the sequence.

Next, let's calculate the number of 1's in each block:

In the nth block, there are n 2's. Since each 2 is separated by a 1, there are n + 1 terms in each block.

So, the number of 1's in each block is (n + 1) - n = 1.

Since there is always one 1 between two consecutive blocks, the total number of 1's in the sequence is equal to the number of blocks, which is 62.

Finally, let's calculate the sum of the first 1234 terms:

Each block has n + 1 terms, which gives us (n + 1) + (n + 1) + ... + (n + 1) (62 times).

Sum of (n + 1) repeated 62 times = 62(n + 1)

= 62 * 2

= 124.

In addition to the blocks, we have 1234 - 62 = 1172 remaining terms, which are all 1's.

So, the sum of the first 1234 terms is 62 + 1172 = 1234.

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Step-by-step explanation:

Circumference = 2πr

Therefore 2πr = 28π and r = 14in.

Answer:

equation: 2(2w + 2) = 60

length = 16

width = 14

Step-by-step explanation:

width = w

length = w + 2

perimeter = 2(w + w + 2) = 60

equation: 2(2w + 2) = 60

4w + 4 = 60

4w = 56

w = 14

width = 14

length = w + 2 = 14 + 2 = 16

length = 16

Answer:

Step-by-step explanation:

START

=> Alternate Interior Angles (Slanted Downwards Right)

=> Vertical Angles (Up)

=> Linear Pair (Right)

=> Corresponding Angles (Down)

=> Alternate Exterior Angles (Down)

=> Interior Angles on the Same Side (Left)

=> Alternate Interior Angles (Left)

=> Corresponding Angles (Slanted Downwards Right)

=> Exterior Angles on the Same Side (Right)

FINISH

Answer: (2.4, -12.8)

Step-by-step explanation:

The length of segment LN is equal to 41.71 inches.

In order to determine the length of segment LN, we would have to apply Pythagorean's theorem.

Mathematically, Pythagorean's theorem is given by this mathematical expression:

x² + y² = z²

Where:

a, b, and c represents the side lengths of a right-angled triangle.

x² + y² = z²

ON² + OK² = NK²

ON² = NK² - OK²

ON² = 22² - 7²

ON² = 484 - 49

ON = √435

ON = 20.86 in.

Now, we can determine the length of segment LN:

Line segment LN = 2ON

Line segment LN = 2(20.86)

Line segment LN = 41.71 inches.

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The sampling distribution of the sample mean will always have the same the mean of the original non-normal distribution, as the original distribution.

What is distribution?

Each of these samples contains a mean, and if we add up all of the means, we can construct a probability distribution that explains the distribution of the means. As long as we have sufficient samples, as will be discussed later, this distribution is always normal and is referred to as the sampling distribution of the sample mean.

Since the sample mean's sampling distribution is normal, we can naturally calculate the distribution's mean and standard deviation and utilise that information to analyse probability questions.

Here, The sample variance is equal to the population variance divided by the sample size if the population is infinite and the sampling is random, or if the population is finite but we are sampling with replacement.

So we need to use the mean of non-normal distribution.

Hence the answer will be the mean of the original non-normal distribution.

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Answer:

Elliana's circle with a radius 4 has a greater area

Step-by-step explanation:

The area of a circle is given by πr²

Area is directly proportional to the square of the radius

A ∝ r²

So the greater the radius, the greater the area

Hence, Elliana's circle has a greater area

Answer:

x = -3

Step-by-step explanation:

Given:

12x - 9 = 10x - 15

Now, let's add 15 to both sides of the equation.

12x + 6 = 10x

Now, let's subtract 12x from both sides of the equation.

6 = -2x

Now, let's divide both sides by -2.

-3 = x

Answer:

x²-8x-1=0

comparing above equation with ax²+bx+c=0

a=1

b=-8

c=-1

x=

\(x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} \)

=(--8+-√(64-4×1×-1)/2×1

=8+-√(64+4)/2

taking positive

x=(8+√68)/2=2(4+√17)/2=4+√17

taking negative

x=(8-√68)/2=2(4-√17)/2=4-√17

pr(z < 2.3) is =NORMSDIST(2.3) which equals 0.9893 or a probability of 0.9893 that a standard normal random variable is less than 2.3.

The probability that a standard normal random variable is less than 2.3 can be calculated using the cumulative distribution function (CDF) of the standard normal distribution. This function gives us the probability that a standard normal random variable is less than or equal to a given value.

In Excel, you can use the NORMSDIST function to calculate the CDF of the standard normal distribution. The syntax for this function is:

=NORMSDIST(x)

where x is the value for which you want to calculate the CDF.

In this case, to calculate the probability that a standard normal random variable is less than 2.3, we would use the following formula in Excel:

=NORMSDIST(2.3)

This gives us the result of 0.9893 or a probability of 0.9893 that a standard normal random variable is less than 2.3.

Note: The cumulative distribution function can also be approximated using tables or calculators that have the function built in. The result obtained using these methods may have some slight differences compared to the result obtained using Excel.

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Answer:

10.29 (rounded = 10.30)

Step-by-step explanation:

X = a^2 + b^2 = c^2

X = 9^2 + 5^2 = c^2

X = (81) + (25) = c^2

X = 106 = c^2

X = √106 = c^2

X = 10.295630141 = c^2

X = 10.03 = c^2 (10.03 is 10.295630141 rounded to the nearest tenth)

Step-by-step explanation:

tan a = 9.6/7.2=4/3

a = 53.13

The cοmment that is cοrrect abοut Hοllys sοlutiοn is, she did nοt fοllοw the οrder οf οperatiοns. She shοuld have multiplied befοre adding.

A mathematical οperatiοn such as subtractiοn, additiοn, multiplicatiοn, οr divisiοn is used tο cοmbine terms intο an expressiοn. In a mathematical expressiοn, the fοllοwing terms are used:

An absοlute numerical number is referred tο as a cοnstant.

Variable: A symbοl withοut a set value is referred tο as a variable.

Term: A term can be made up οf a single cοnstant, a single variable, οr a mix οf variables and cοnstants multiplied οr divided.

Cοefficient: A cοefficient is a number that is multiplied by a variable in an equatiοn.

The cοmment that is cοrrect abοut Hοllys sοlutiοn is, she did nοt fοllοw the οrder οf οperatiοns. She shοuld have multiplied befοre adding.

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The complete question is:

Answer:

rdniawefvhuioojhewsfgh8

The area of the given shape is 47 yard².

Given a shape.

The shape consists of a rectangle and a triangle.

The area of the shape can be found by adding the individual area of the rectangle and the triangle.

Area of rectangle = length × width

                              = 4 × 5

                              = 20 yard²

Area of the triangle = 1/2 × base × height

Base length = 2 + 2 + 5 = 9 yd

Height = 6 yd

Area of triangle = 1/2 × 9 × 6

                          = 27 yard²

Total area of the shape = 20 yard² + 27 yard² = 47 yard²

Hence the area is 47 yard².

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To show that w = u × v and v = w × u, we need to demonstrate that the cross product of vectors u and v yields the same result as the cross product of vectors w and u.

Given that u = v × w, let's calculate the cross product of w and u:

w × u = (u × v) × u

Since the cross product is not associative, we need to use the vector triple product identity:

w × u = u × (v × u) - (u · u) v

Since u is orthogonal to v, the dot product (u · v) is zero. Therefore, we can simplify the equation:

w × u = u × (v × u)

Next, let's calculate the cross product of v and u:

v × u = (u × v) × v

Using the vector triple product identity:

v × u = v × (u × v) + (v · v) u

Again, since u is orthogonal to v, the dot product (v · v) is zero:

v × u = v × (u × v)

Thus, we have shown that w = u × v and v = w × u, indicating that the cross products are equivalent in both directions.

In summary, when u, v, and w are orthogonal unit vectors, the cross product of u and v yields the same result as the cross product of w and u, as well as the cross product of v and w.

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The main advantage of an independent measures design is that it reduces the risk of order or practice effects and minimizes the influence of individual differences between participant

An independent measures design, also known as a between-subjects design, is a type of research study in which different groups of participants are used for each condition being tested.

In other words, each participant is only exposed to one condition, and the data from each group is analyzed and compared to determine if there are any significant differences between the groups.

The main characteristics of an independent measures design are:

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Let's consider what the question asks for:

 --> domain and range, x-intercept, y-intercept of the equation

Let's find the domain:

 --> the only range of x-values that will make this equation 'untrue'

      --> is when the function inside the square root becomes negative

         --> as a square root cannot have a negative value inside it

                \(x+8\geq 0\\x\geq -8\\\\\text{Our domain is therefore [-8}\),∞)

Let's find our range:

 --> the function doesn't have any limitations vertically

               \(\text{Our range is therefore}\)  (-∞,∞)

Our x-intercept

 --> is when the y-value is zero

      \(0=-2\sqrt{x+8} \\\sqrt{x+8} =0\\x+8=0\\x=-8\)

                \(\text{Our x-intercept is therefore -8}\)

Our y-intercept:

 --> is when the x-value is zero

    \(y=-2\sqrt{x+8} \\y=-2\sqrt{0+8} \\y=-2\sqrt{8} \\y=-2*2\sqrt{2} \\y=-4\sqrt{2}\)

                \(\text{Our y-intercept is therefore }-4\sqrt{2}\)

Answer:

  Domain: [-8, ∞)

  Range: {-∞,∞)

  X-intercept is -8

  Y-intercept is \(-4\sqrt{2}\)

Answer:

\(\left[\begin{array}{ccc}11&15&-17\\-1&-4&-4\\17&15&-22\end{array}\right]\)

Option D will be your answer

\(-----------\)

hope it helps...

have a great day!!

Answer:

What are the problems?

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

h(-3)=(-3)          2 -3(-3)+5= put it all in the calculator and it gives you 16

   ^      ^                    

 -3      -3            

Answer:

Option A: 4 units is the correct answer.

Step-by-step explanation:

Given that:

Layana's house is located at (\(2\frac{2}{3}, 7\frac{1}{3}\))

Store is located at (\(-1\frac{1}{3},7\frac{1}3}\))

We can find distance between two points by using distance formula.

S = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2\)

The points can also be written as;

House (8/3, 22/3)

Store (-4/3, 22/3)

Putting values in the formula.

S = \(\sqrt{\frac{8}{3}-(-\frac{4}{3}))^2+(\frac{22}{3}-\frac{22}{3})^2\)

S = \(\sqrt(\frac{8}{3}+\frac{4}{3}+0\)

S = \(\sqrt{(\frac{8+4}{3})^2\)

S = \(\sqrt{(\frac{12}{4})^2\)

S = \(\sqrt{(4)^2\)

S = 4 units

Hence,

Option A: 4 units is the correct answer.

1234567890

i searched it up trust me

Answer:

No solution.

Step-by-step explanation:

\(5x+6= 5(x+1)-2\\5x+6=5x+3\\5x=5x-3\\0=-3\)

Since 0=-3 is not valid, the equation doesn't have a solution.

Answer:

12 units³

Step-by-step explanation:

original volume of box = 120 units³

If the box if it is scaled down by a factor of 1/10, then we multiply the original volume by 1/10:

120 x (1/10) = 120 ÷ 10 = 12 units³

New volume

\(\\ \tt\hookrightarrow V∆V=\dfrac{120}{10}=12\)

The standard normal distribution has a mean of 0 and a standard deviation of 1. M ≈ 30.935. The median of the distribution is also 25.

(a) To find M, we first need to convert the given values of mean and standard deviation to the standard normal distribution. This can be done by using the formula Z = (X - μ) / σ, where Z is the Z-score, X is the value of interest, μ is the mean, and σ is the standard deviation. In this case, we have X ~ N(25, 9). Substituting the values into the formula, we get Z = (X - 25) / 3. Now we need to find the Z-score that corresponds to the desired probability of 0.95. Using a standard normal distribution table or a calculator, we find that the Z-score corresponding to a cumulative probability of 0.95 is approximately 1.645. Setting Z equal to 1.645, we can solve for X: (X - 25) / 3 = 1.645. Solving for X, we get X ≈ 30.935. Therefore, M ≈ 30.935.

(b) The median is the value that divides the distribution into two equal halves. In a normal distribution, the median is equal to the mean. In this case, the mean is given as 25. Therefore, the median of the distribution is also 25.

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An inverse relationship can not direct.

We know that an inverse proportion represents inverse or indirect relation between two quantities.

In inverse relationship, one value increases while the other value decreases, and vice versa.

But in case of direct relationship, if one quantity increases , the other quantity also increases, and  if one quantity decreases , the other quantity also decreases.

When two quantities 'm' and 'n' are inversely proportional to each other, it means when the value of m increases while the value of quantity  'n' decreases, and vice versa.

Also, an inverse relationship always has a negative slope.

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Therefore, the probability that the student attends class on a certain Friday is 1/2, and the probability that the student is absent is also 1/2. The long-run probability that the student either attends class or does not attend class is simply 1, since these are the only two possible outcomes.

Let's use A to represent the event that the student attends class on a certain Friday, and let's use B to represent the event that the student is absent on a certain Friday. We are asked to find the long-run probability that the student either attends class or does not attend class.

We can use the law of total probability and consider the two possible scenarios:

Scenario 1: The student attends class on a certain Friday

If the student attends class on a certain Friday, then the probability that she will attend class the next Friday is 1/3, and the probability that she will be absent is 2/3. Therefore, the probability that the student attends class on two consecutive Fridays is:

P(A) * P(A|A) = P(A) * 1/3

Scenario 2: The student is absent on a certain Friday

If the student is absent on a certain Friday, then the probability that she will attend class the next Friday is 4/5, and the probability that she will be absent again is 1/5. Therefore, the probability that the student is absent on two consecutive Fridays is:

P(B) * P(A|B) = P(B) * 4/5

The probability that the student attends class or is absent on a certain Friday is 1, so we have:

P(A) + P(B) = 1

Now we can solve for P(A) and P(B) using the system of equations:

P(A) * 1/3 + P(B) * 4/5 = P(A) + P(B)

P(A) + P(B) = 1

Simplifying the first equation, we get:

2/3 * P(B) = 2/3 * P(A)

P(B) = P(A)

Substituting into the second equation, we get:

2 * P(A) = 1

P(A) = 1/2

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Answer:

sorry I don't know pls ask someone else