Which equation below has no solution?
A) 3(6x + 8) = 24 + 18x
B) 8(x + 4) = 12x - 6
C) 5x - 4 = 2(4x + 8) - 3x

Answer:

Since the ratio of the altitudes of the two triangles ABC and DEF is 1:3, we can say that the altitude of triangle DEF is three times that of triangle ABC.

Let's assume the altitude of triangle ABC is h, then the altitude of triangle DEF is 3h.

Now, we know that the area of a triangle is given by the formula:

Area = (1/2) * base * height

Let's apply this formula to both triangles:

Area of triangle ABC = (1/2) * base * altitude

= (1/2) * 7cm * h

= 3.5h cm^2

Area of triangle DEF = (1/2) * base * altitude

= (1/2) * 7cm * 3h

= 10.5h cm^2

Since the two triangles are similar, their areas are proportional to the squares of their corresponding sides. That is:

Area of triangle ABC / Area of triangle DEF = (AB / DE)^2

Substituting the values, we get:

3.5h / 10.5h = (AB / DE)^2

1/3 = (AB / DE)^2

Taking the square root of both sides, we get:

AB / DE = 1 / sqrt(3)

AB = (1 / sqrt(3)) * DE

Now, we know that the sides of triangle ABC are 3cm, 5cm, and 7cm.

Let's assume that the sides of triangle DEF are a, b, and c.

Since the sides of the two triangles are proportional, we can write:

a / 3 = b / 5 = c / 7 = 1 / sqrt(3)

Solving for a, b, and c, we get:

a = 3 / sqrt(3) = sqrt(3) cm

b = 5 / sqrt(3) = (5 * sqrt(3)) / 3 cm

c = 7 / sqrt(3) = (7 * sqrt(3)) / sqrt(3) = 7 cm

Therefore, the measures of the sides of triangle DEF are sqrt(3) cm, (5 * sqrt(3)) / 3 cm, and 7 cm.

Answer:

the bottom one

Step-by-step explanation:

pls mark brainliest

Answer:

The second graph.

Answer:

75% of 250 is 150, so the 4th question would be correct 75*2/100*2 = 150/200

Step-by-step explanation:

Answer:

75 x 2 = 150 because 100 x 2 is 200

Step-by-step explanation:

The correct option is -2f (x - 4) as it accurately represents how f(x) is transformed to get g(x) using the given function g(x) = a · f (x b). -2f (x - 4))

To transform f(x) into g(x) using the given function g(x) = a · f (x b), we need to substitute the values of a and b into the function.

Let's go through each option and see how f(x) is transformed: –2f (x 4): To transform f(x) to g(x), we substitute a = -2 and b = 4 into the given function.

Therefore, g(x) = -2 · f (x 4). –2f (x – 4):

Similar to the previous option, we substitute a = -2 and b = -4 into the given function. Hence, g(x) = -2 · f (x - 4). –f (x 4):

By substituting a = -1 and b = 4 into the function, we obtain g(x) = -1 · f (x 4). –f (x – 4):

Lastly, we substitute a = -1 and b = -4 into the function, giving us g(x) = -1 · f (x - 4).

In conclusion, the correct option is -2f (x - 4) as it accurately represents how f(x) is transformed to get g(x) using the given function g(x) = a · f (x b). -2f (x - 4))

The correct option is -2f (x - 4).

To transform f(x) into g(x) using the function g(x) = a · f (x b), we substitute the values of a and b into the function. In this case, a = -2 and b = -4.

Therefore, g(x) = -2 · f(x - 4). The negative sign indicates a reflection about the x-axis. The factor of 2 signifies that the graph of g(x) is vertically stretched or compressed by a factor of 2 compared to the graph of f(x). The value of -4 in the function represents a horizontal shift to the right by 4 units. So, g(x) will be obtained by shifting the graph of f(x) to the right by 4 units, reflecting it about the x-axis, and vertically compressing it by a factor of 2. Hence, the correct option is -2f (x - 4).)  

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Answer:

2

4

6

8

10

12

Step-by-step explanation:

all together it equals 42

The null hypothesis (H0) when testing for normality is:

H0 states that the values are sampled from a population that follows a normal distribution.

When testing for normality, the null hypothesis (H0) assumes that the data in the sample is derived from a population that follows a normal distribution. In other words, it assumes that the underlying population from which the sample is taken is normally distributed.

The purpose of testing for normality is to assess whether the data deviates significantly from a normal distribution. By assuming the null hypothesis, we aim to determine whether there is enough evidence to reject it and conclude that the data does not follow a normal distribution.

The other statements provided in the answer choices are not directly related to the null hypothesis when testing for normality. Statements such as "there is not statistically significant difference between two samples" or "if the data is normal, we can be certain that the data in different samples are similar" are not specific to testing for normality.

The null hypothesis (H0) when testing for normality states that the values are sampled from a population that follows a normal distribution. This hypothesis is tested using various statistical tests and techniques to assess the normality assumption of the data.

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89% of pebbles weigh more than 2.1 grams.

What is a percentage?

Given,

         Mean = 2.6

           SD = 0.4

As we have to find the percentage of pebbles weighing more than 2.1, we have to find the z-score for 2.1 first.

             \(z = \frac{x- mean}{SD}\)

             \(z = \frac{2.1 - 2.6}{0.4}\)

             \(z = -1.25\)

Now we have to use the z-score table to find the percentage of pebbles weighing less than 2.1

So,

   \(P ( x < 1.25 ) = 0.10565\)

This gives us the probability of P(z<-1.25) or P(x<2.1)

To find the probability of pebbles weighing more than 2.1

\(P ( x > 2.1 ) = 1 - P( x < 2.1 ) = 1 - 0.10565 = 0.89435\)

Converting into percentage

0.89435 × 100 = 89.435 %

Rounding off to nearest percent   =89%

Therefore, 89% of pebbles weigh more than 2.1 grams.

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Sarah's final position would be negative. Therefore, option B is the correct answer.

Given that, Sarah starts at a positive position along the x-axis. She then undergoes a negative displacement.

A negative displacement means that Sarah has moved backward along the x-axis, so her final position would be negative.

Therefore, option B is the correct answer.

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Answer:

Step-by-step explanation:

1.3×100=1.3

in standard form.

Explanation:

In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of

10.

In other words, in scientific notation, a number is written as

a ×10n, where 1≤a<10 and n is an integer and 1≤a< 10.To write the number in normal or standard notation one just needs to multiply by the power

10n(or divide if n is negative). This means moving decimal

n digits to right if multiplying by

10n and moving decimal n digits to left if dividing by 10n

(i.e. multiplying by 10−n).

In the given case, as we have the number as

1.3×100, we need not move decimal digit to either side and hence in standard notation  1.3×100=1.3  itself.

15 liquids that can be found in a kitchen include:

15 solids in a kitchen are:

When it comes to solids in the kitchen, we can mostly find either food ingredients, such as salt, flour, and spices, or actual food that can be prepared such as meat, vegetables, and bread.

As for liquids, these can be anything from drinks such as juice, water and wine, to liquids used for cooking such as oil, soy sauce and vinegar.

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Answer:

x = 12

Step-by-step explanation:

∠4 = (8x + 4)°

∠6 = (6x + 28)°

∠4 = ∠6

(8x + 4) = (6x + 28)

-6x           -6x

-----------------------

2x + 4 = 28

     -4      -4

-----------------

2x = 24

÷2     ÷2

------------------

x = 12

I hope this helps!

Answer:

x = 12

Step-by-step explanation:

Angle 4 and angle 2 are congruent to each other. Angle 6 is also congruent to angle 2. If both these statements are true, angle 4 is congruent to angle 6.

This means (8x + 4) = (6x + 28)

Now, you simply solve for x:

8x + 4 = 6x + 28

     - 4          - 4

8x = 6x + 24

-6x   -6x

2x = 24

2x/2 = 24/2

x = 12

The individual most closely associated with innovations in photographic equipment was George Eastman

American businessman George Eastman helped popularize the use of roll film in photography by founding the Eastman Kodak Company.

George Eastman's entrepreneurial passion, fearless leadership, and amazing vision revolutionized the globe. He revolutionized the photography, film, and motion picture industries and is credited with establishing the Eastman Kodak Company, which will live on throughout history.

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complete question;

The individual most closely associated with innovations in photographic equipment was ________

The system of equations y = (1/3)x + 7 and y = -2x³ + 5x² + x - 2 will have 1 solution thus option (B) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In other words, the equation must be constrained with some constraints.

As per the given equations,

y = (-1/3)x + 7 and y = -2x³ + 5x² + x - 2

The graph of both equations has been plotted below,

The number of points where both curves cut each other = 1

Thus, the number of solutions = 1

Hence "The system of equations y = (1/3)x + 7 and y = -2x³ + 5x² + x - 2 will have 1 solution".

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Answer:

1 solution

Step-by-step explanation:

Plato/Edmentum

The quadratic equation of the graph is:

x² - 4x = 0

The quadratic equation of a quadratic graph can be found by check the points where the curve cuts or intersect the x-axis. These two x values can then be used to form the quadratic equation.

Looking at the graph, you will notice that the graph cuts the x-axis at points x = 0 and x = 4 (Check the red circles in the attached image). We will then form the equation the x values as follow:

x = 0 and x = 4

x - 0 = 0 and x - 4 = 0

Combining them and simplifying:

(x - 0)(x - 4) = 0

x(x - 4) = 0

x² - 4x = 0

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Answer:

-5m/2

Step-by-step explanation:

-m+ (-2m) +(-3m)+(-4m) +(-4m)+(-3m)+(-2m)+(-m)/8

-m-2m-3m-4m-4m-3m-2m-m/8

-20m/8

-5m/2

Answer:

The answer for the first one is 5 2/5

The answer for the second one is 3 1/7

The last answer is 3

Step-by-step explanation:

To determine whether a relation is an equivalence relation, we need to check three properties: reflexive, symmetric, and transitive.

Reflexive property: For all a ∈ A, (a, a) ∈ R.

Symmetric property: For all a, b ∈ A, if (a, b) ∈ R, then (b, a) ∈ R.

Transitive property: For all a, b, c ∈ A, if (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R.

Let's check each property for the given relation R on {0, 1, 6}.

Reflexive property: (0, 0), (1, 1), and (6, 6) are in R, so the reflexive property holds for these elements. However, (1, 1) is the only element in R that satisfies this property. (0, 0) and (6, 6) are not enough to establish the reflexive property for the relation R.

Symmetric property: (0, 1) and (1, 0) are in R, but (1, 0) is not in R. Therefore, the symmetric property does not hold for the relation R.

Transitive property: (0, 1) and (1, 6) are in R, but (0, 6) is not in R. Therefore, the transitive property does not hold for the relation R.

Since the relation R does not satisfy all three properties, it is not an equivalence relation.

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Answer:

left 7 and up 13

Step-by-step explanation:

The translation path of Point A (3, -8) to A'(-4,-5) exists 3 units down and 7 units to the left.

A translation in mathematics does not turn, but rather moves a shape left, right, up, or down. Congruent translations are those in which the translated shapes (or the image) seem to be the same size as the source ones. Just one or more directions have they shifted.

Each point in a figure is moved by the same amount and in the same direction during a translation, a type of transformation.

With a sort of transformation called translation, every point in a figure is moved the same distance in the same direction.

The translation path of Point A (3, -8) to A'(-4,-5) exists 3 units down and 7 units to the left.

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Answer:

2

Step-by-step explanation:

basically logarithms are like reverse exponents

log7, 49 is basically asking 7 to the what gets you 49

because of that its 2 because 7^2 gets you 49

========================================================

Explanation:

Recall that any exponential equation of the form \(b^x = y\) can be written into its equivalent log form of \(\log_{b}(y) = x\). Note how in both cases, 'b' is the base. For the exponential equation, x is buried in the exponent and y is free on its own. In the log equation, we have y buried in the log and x is free or isolated on its own.

In your case, we have b = 7 and y = 49. This means \(\log_{7}(49) = x\) is the same as \(7^x = 49\) when converting from log form to exponential form. Then we can rewrite that 49 into 7^2 to get \(7^x = 7^2\). The bases are both 7, so the exponents must be the same as well. Therefore, x = 2.

-------------------

We could follow a different approach. We could apply the change of base formula. The change of base formula is

\(\log_{b}(x) = \frac{\log(x)}{\log(b)}\)

On the left side, we have log base b; however, on the right side, the log can be any base we want. Oftentimes it's handy to go with base 10, though again it doesn't matter the base on the right hand side logs.

So we would then say...

\(\log_{b}(x) = \frac{\log(x)}{\log(b)}\\\\\log_{7}(49) = \frac{\log(49)}{\log(7)}\\\\\log_{7}(49) = \frac{1.69019608002851}{0.84509804001426}\\\\\log_{7}(49) = 1.99999999999999\\\\\)

Due to rounding error, we don't land exactly on 2 as expected. However, we get close enough.

Answer:

6.2

Step-by-step explanation:

I don't think you need my explanation anymore.

The variables examined in the study show the number of hospital visits for cooking-related knife injuries and their frequency during major holidays. The data compiled from emergency departments shows that there is a significant increase in the number of hospital visits for such injuries around major holidays.

This suggests that there may be a correlation between the holidays and the use of knives in cooking, possibly due to increased meal preparation and cooking during these times. Other variables that could be examined in further studies include the types of knives and cooking equipment used, the types of foods being prepared, and the demographics of those who sustain these injuries.

Variables refer to any characteristic, quantity, or attribute that can be measured and that can fluctuate or vary. Variables are of two types:

An independent variable is one that is thought to influence the dependent variable, which is the characteristic or response that is being measured.

The variables examined in the study indicate that the number of hospital visits for cooking-related knife injuries increases around major holidays. This implies that there is a direct relationship between cooking and knife injuries on major holidays. As a result, measures must be put in place to reduce the risk of knife injuries during the holidays. This includes the creation of awareness campaigns and the promotion of safety in the kitchen.

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a) The probability of extinction occurring in the first generation is (0.5).

b) The probability of extinction occurring in the second generation is 0.25

c) The probability of extinction occurring in the third generation is 0.125

d) The probability of extinction occurring in the fourth generation is 0.0625

e) The probability of extinction occurring in the fifth generation is 0.03125

In a branching process, each individual can either have zero offspring or one offspring with a probability of 0.5. The probability of extinction occurring at each generation is the probability that all individuals have zero offspring, which is equal to \((0.5)^n\), where n is the generation number.

Therefore, the probability of extinction occurring by a certain generation can be calculated by raising 0.5 to the power of the generation number.

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Please find attached the image of the graph that models the function.

A graph is a pictorial representation of data. A graph is made up of the x-axis and the y-axis.  On this graph, the number of years is on the y-axis and the profit is on the x-axis.

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Answer: other dude is correct

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3x × 4 =12x

Mark me brainliest pls

and thank me

Answer:

I think it is A

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

d) 0.1a

e) -5.2m^2 + 7.8m + 4.5k

f)\(4g^{2}\)

g)-3t^2 +4.29t+9

h)4n

i)2.6g^2 -5.4g

Step-by-step explanation:

Hope this helps!

The mean (µ) and standard deviation (σ) of the binomial distribution with n=202 and p=0.44 are 88.88 and 7.8959, respectively. The probability of obtaining x=53 is approximately 0.0561, and the z-score for x=37 is -6.55.

To find the mean (µ) and standard deviation (σ) of the binomial distribution, we use the formulas µ = np and σ = sqrt(np(1-p)), where n is the number of trials and p is the probability of success.

Given n = 202 and p = 0.44, we can calculate the mean and standard deviation as follows:

µ = 202 * 0.44 = 88.88 (rounded to 2 decimal places)

σ = sqrt(202 * 0.44 * (1 - 0.44)) = 7.8959 (rounded to 4 decimal places)

Now, let's suppose we want to find the probability of obtaining a specific value of x, let's say x = 53. We can use the formula for the binomial probability:

\(P(x) = C(n, x) * p^x * (1 - p)^{n - x}\)

Substituting the values, we have:

\(P(53) = C(202, 53) * (0.44)^{53} * (1 - 0.44)^{202 - 53}\)

Using a binomial calculator or software, we can find the probability as approximately 0.0561 (rounded to 4 decimal places).

Finally, if we want to calculate the z-score for a given value of x, we can use the formula:

z = (x - µ) / σ

For x = 37, the z-score would be (37 - 88.88) / 7.8959 = -6.55 (rounded to 2 decimal places).

In conclusion, for a binomial distribution with n = 202 and p = 0.44, the mean is 88.88 and the standard deviation is 7.8959. The probability of obtaining x = 53 is approximately 0.0561. The z-score for x = 37 is -6.55.

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=========================================================

Work Shown:

The given equation y = (1/5)x+4 is in the form y = mx+b with m = 1/5 as the slope.

Apply the negative reciprocal to this slope to go from 1/5 to -5/1 or -5.

The original slope is 1/5 and the perpendicular slope is -5. Note the two slopes multiply to -1. This applies to any pair of perpendicular lines as long as neither line is vertical.

---------

We'll use m = -5 as the slope and (x,y) = (5,-4) to find the y intercept

y = mx+b

-4 = -5*5+b

-4 = -25+b

-4+25 = b

21 = b

b = 21

The y intercept of the perpendicular line is b = 21

With m = -5 and b = 21, we go from y = mx+b to y = -5x+21 which is the equation of the perpendicular line.

9.55 as a mixed number would be 9 11/20.

9.55 = 9 55/100 = 9 11/20

Hope this helps !