-x - 4 = 4x - 54 im to lazy to figure it out myself

if dimensions were 5 and 12, that means ratio was 5:12. if we increase wach dimension by the same amount, the ratio is the same.

so:

5x×12x=120

60x²=120

x²=120÷60

x²=2

x=√2

that means each dimension was increased by √2

so dimensions are: 5√2 and 12√2

Hans would take 13.5 seconds to run 50 meters

Priya would take 12 seconds to run 50 meters

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

Since they each ran 10 meters for a certain amount of time you would multiply the seconds by 5 since 10x5=50

When you do that you get

13.5 for Han's time by multiplying 2.7x5=13.5

and

12 seconds for Priya's time by multiplying 2.4x5

Answer:

\(2x - 1 = 3 \\ 2x = 3 + 1 \\ 2x = 4 \\ x = \frac{4}{2} \\ x = 2\)

The amount for each berry are 5.60 and 1.60 respectively.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =

Given that, Jeffrey wants to make jam. He needs a combination of raspberries and blackberries totaling six pounds. Blueberries cost $1.00 per pound, and raspberries cost $2.00 per pound. If Jeffrey can afford $11.60,

We will set a system of linear equations, to solve this,

Establishing the equation,

Let the amount of raspberries be x and that of blueberries be y,

x + y = 6

y = 6-x...(i)

2x + y = 11.60

y = 11.60 - 2x...(ii)

Equating eq(i) and eq(ii)

6-x = 11.60 -2x

x = 5.60

Put x = 5.60 in eq(i)

y = 6-5.60

y = 1.60

Hence, the amount for each berry are 5.60 and 1.60 respectively.

Learn more about equations, click;

https://brainly.com/question/29657983

#SPJ1

Could you possibly repost your question with a clear image?

The details on this image are unreadable and, therefore, make it difficult to help.

Will bookmark this question so I can find your new post if posted again.

Among the provided functions, the ones that approach positive infinity as x approaches negative infinity are:

- f(x) = 2x^5

- f(x) = 6x^8 + 9x^6 + 32

- f(x) = -x + 8x^4 + 248

To determine which functions approach positive infinity as x approaches negative infinity, we need to analyze the leading terms of the functions. The leading term dominates the behavior of the function as x becomes very large or very small.

Let's examine each function and identify their leading terms:

1. f(x) = 2x^5

The leading term is 2x^5, which has a positive coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.

2. f(x) = 9x + 100

The leading term is 9x, which has a positive coefficient but a lower power of x compared to the constant term 100.

As x approaches negative infinity, the leading term becomes very large and negative, indicating that f(x) approaches negative infinity, not positive infinity.

3. f(x) = 6x^8 + 9x^6 + 32

The leading term is 6x^8, which has a positive coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.

4. f(x) = -8x^3 + 11

The leading term is -8x^3, which has a negative coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and negative, indicating that f(x) approaches negative infinity, not positive infinity.

5. f(x) = -10x + 5x + 26

Combining like terms, we have f(x) = -5x + 26.

The leading term is -5x, which has a negative coefficient but a lower power of x compared to the constant term 26.

As x approaches negative infinity, the leading term becomes very large and positive, indicating that f(x) approaches negative infinity, not positive infinity.

6. f(x) = -x + 8x^4 + 248

The leading term is 8x^4, which has a positive coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.

Therefore, the correct choices are:

- f(x) = 2x^5

- f(x) = 6x^8 + 9x^6 + 32

- f(x) = -x + 8x^4 + 248

To know more about functions refer here:

https://brainly.com/question/28134738#

#SPJ11

Answer:

6.9 ft

Step-by-step explanation:

The Pythagorean Theorem. :)

a^2 + b^2 = c^2

4^2 + b^2 = 8^2

16 + b^2 = 64

b^2 = 48

D = 6.928

<3 Enjoy,

    Dea

The length of the stake needs to be from the middle of her tent will be 6.9 feet. Then the correct option is D.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

A camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. If the rope is 8 feet long.

Then the length of the stake needs to be from the middle of her tent will be

We have

P = 4 ft

H = 8 ft

Then the base is given by the Pythagoras theorem.

B² = H² - P²

B² = 8² - 4²

B² = 64 - 16

B² = 48

B = 6.9 ft

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Hope this helps. Please mark brainliest if it did

Answer: 4536.46

There are 864 number of ways the Smith family can be seated in a row of 7 chairs such that at least 2 boys are next to each other.

To determine the number of ways the Smith family can be seated in a row of 7 chairs such that at least 2 boys are next to each other, we can consider different cases based on the arrangement of boys and girls.

Case 1: Two boys are seated together:

In this case, we can consider the two boys as a single entity.

Therefore, we have 6 entities: BB (boys together), B (single boy), B (single boy), G (girl), G (girl), G (girl). These entities can be arranged in 6! ways.

Case 2: Three boys are seated together:

In this case, we can consider the three boys as a single entity.

We have 5 entities: BBB (boys together), B (single boy), G (girl), G (girl), G (girl). These entities can be arranged in 5! ways.

Case 3: Four boys are seated together:

In this case, we can consider the four boys as a single entity.

We have 4 entities: BBBB (boys together), G (girl), G (girl), G (girl). These entities can be arranged in 4! ways.

To find the total number of arrangements, we sum up the arrangements from each case:

Total arrangements = 6! + 5! + 4!

Calculating the values:

6! = 720

5! = 120

4! = 24

Total arrangements = 720 + 120 + 24 = 864

To know more about number of ways refer here:

https://brainly.com/question/30649502#

#SPJ11

Answer:

B.45

Step-by-step explanation:

60+55=115

180-115=65

65-20=45

Answer: 45°

Answer:

D

Step-by-step explanation:

Firstly, we need to get the value of x 1-7 < 3x

-6 < 3x

-2 < x

or x > -2

So we need a number line that has the unshaded circle placed at 2 ( since the inequality sign is single) and it faces the right (arrow face right)

To solve problems, construct one-variable equations and inequalities.

As opposed to an inequality, which links two different values, an equation declares that two expressions are equal.

Create one-variable equations and inequalities, then utilize them to solve issues.

Include simple rational and exponential equations as well as those resulting from linear and quadratic functions.

In order to answer word problems, students should be able to decipher them and create equations and inequalities.

To learn more about equations and inequalities, refer

https://brainly.com/question/22406619

#SPJ4

There are 6720 ways that can be made from the letters "wasteful" if repetition of letters is not allowed

To solve this problem the formula and the permutation procedure we must use is:

nPr = n! / (n-r)!

Where:

Information about the problem:

Applying the permutation formula we have:

nPr = n! / (n-r)!

8P5 = 8! / (8-5)!

8P5 = 8! / 3!

8P5 = 8*7*6*5*4*3! / 3!

8P5 = 8*7*6*5*4

8P5 = 6720

It is the ordered arrangement of members belonging to a set with no repeats.

Learn more about permutation at: brainly.com/question/1216161

#SPJ4

Answer:

7/20

Step-by-step explanation:

1 over 10 is .1

3 over 5 is .6

write them out

.1 .2 .3 .4 .5 .6

number between is .35

.35 = 35/100 = 7/20

7/20

Answer:

38%

Step-by-step explanation:

So first you need to find what 434/700 is because that is when she fell asleep. Divide each side by 2 to get 217/350. Use division to find the decimal. Once you are done with that, you get 0.62. You then subtract 0.62 from 1 because that is the amount of when she fell asleep. 1-0.62=0.38. 0.38 is also 38% so Moussa fell asleep for 38% of the trip.

Hopefully this helps you

The OLS residuals can be calculated by subtracting the fitted values from the actual values.

OLS residuals, also known as errors, can be calculated by taking the difference between the observed values and the predicted (fitted) values from the regression model.

This calculation provides a measure of the discrepancy between the observed data and the estimated values based on the regression equation. The residuals are important for assessing the goodness of fit of the regression model and for performing diagnostic checks to ensure the model's assumptions are met.

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ4

Answer:

Step-by-step explanation:

25 favors ... $62.50

60 favors ... $x = ?

If you would like to know how much do the supplies for 60 favors cost, you can calculate this using the following steps:

25 * x = 60 * 62.50

25 * x = 3750    /25

x = 3750 / 25

x = $150

Result: The supplies for 60 favors cost $150.

The vector space that has exactly one basis is the trivial vector space, which is the vector space containing only the zero vector.

A basis for a vector space is a set of linearly independent vectors that span the entire space. In a non-trivial vector space (a space that contains more than just the zero vector), there are infinitely many possible bases. This is because any set of linearly independent vectors that span the space can be used as a basis.

However, in the trivial vector space, there is only one vector (the zero vector), and it is linearly independent of itself. Therefore, the trivial vector space has exactly one basis, which is the set containing only the zero vector. Any other set of vectors in the trivial vector space is linearly dependent, and therefore cannot be used as a basis.

Find out more about trivial vector space,

brainly.com/question/14375935

#SPJ4

Find out more about vector spaces

brainly.com/question/14375935

#SPJ4

The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To learn more about probability click here:

brainly.com/question/31828911

#SPJ11

The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To learn more about probability click here:

brainly.com/question/31828911

#SPJ11

Answer: x=16

Step-by-step explanation:

To find the axis of symmetry you need to find the value for x. the equation to find x is x=\(\frac{-b}{2a}\). Now solve-

x= \(\frac{-b}{2a}\)=\(\frac{-(-96)}{2(3)}\)=\(\frac{96}{6}\)=16

The probability that a randomly selected point of the diagram lies within the circular region as requested in the task content is; π/4.

It follows from the task content that the probability that a randomly selected point of the diagram lies within the circular region is to determined.

This probability in discuss is equal to the ratio of the area of the circle to the area of the rectangle.

Consequently, the area of the circle is equal to;

πr².

However, since the side length of the square, which is the diameter of the circle is; 2r; it follows that it's area is;

2r × 2r = 4r².

Therefore, the probability is; πr²/4r².

When expressed in its simplest exact form, we have;

π/4.

Therefore, The probability that a randomly selected point of the diagram lies within the circular region as requested in the task content is; π/4.

Read more on probability;

https://brainly.com/question/13604758

#SPJ1

There were 14 participants in each condition in the study, with a total sample size of 28. To determine the number of participants in each condition, we need to look at the degrees of freedom in the one-way ANOVA output.

In this case, the degrees of freedom for the numerator is 1 and the degrees of freedom for the denominator is 26. Since the ANOVA assumes equal sample sizes across conditions, we can calculate the total number of participants by multiplying the sample size by the number of conditions. Using the formula for degrees of freedom, we can calculate the sample size for each condition as follows:
df_between = k - 1
df_within = N - k
Where k is the number of conditions and N is the total number of participants.
In this case, df_between = 1 and df_within = 26. Thus,
1 = k - 1
k = 2
Substituting k = 2 into the df_within equation, we get:
26 = N - 2
N = 28
So, the total number of participants across both conditions is 28. Since we assume equal sample sizes, each condition has 14 participants. Therefore, the number of participants in each condition is 28 / 2 = 14.Therefore, we can conclude that there were 14 participants in each condition in the study, with a total sample size of 28. In summary, given the one-way ANOVA output and assuming equal sample sizes across conditions, we can use the formula for degrees of freedom to calculate the sample size for each condition and determine that there were 14 participants in each condition in the study.

Learn more about sample size here

https://brainly.com/question/30885988

#SPJ11

By implementing the strategies of BRAINLEIST, one can enhance their learning effectiveness.

BRAINLEIST is an acronym representing effective learning strategies. Be organized by creating a study plan and maintaining an orderly environment. Actively read by engaging with the material, asking questions, and highlighting key points.

Interact with the material through discussions, group study, or hands-on activities to deepen understanding. Take comprehensive notes to reinforce learning and aid in review. Leverage technology to access educational resources and enhance learning experiences.

Evaluate progress through self-assessment and reflection. Improve learning through practice and active application of knowledge. Space out study sessions to benefit from spaced repetition and improved retention.

Teach others to reinforce understanding and solidify knowledge. Incorporating these strategies can optimize learning, retention, and academic performance.

learn more about BRAINLEIST

brainly.com/question/17083136

#SPJ11

Answer:

(1,-1)

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :).

x is a random variable that takes values on all positive integers. Then the events are:

(i) a^c = {0, 1, 5, 6, 7...........}

(ii) b^c = {0, 1, 2, 3}

(iii) ab = {4}

(iv) a ∪ b = {2, 3, 4, 5, 6, 7, 8,..........}

a = {2 ≤ x ≤ 4} and b = {x ≥ 4}.

(i) We have to describe the events a^c

a = {2 ≤ x ≤ 4}

Then a^c = {x : x < 2 or x > 4}

So the elements are

a^c = {0, 1, 5, 6, 7...........}

(ii) We have to describe the events b^c

b = {x ≥ 4}.

Then b^c = {x : x < 4}

Then the elements are

b^c = {0, 1, 2, 3}

(iii) We have to describe the events ab.

The ab = a ∩ b

As we know that a = {2 ≤ x ≤ 4} and b = {x ≥ 4}. So

ab = {x : 2 ≤ x ≤ 4 ∩ x ≥ 4}

ab = {x : x = 4}

So, ab = {4}

(iv) We have to describe the events a ∪ b

As we know that a = {2 ≤ x ≤ 4} and b = {x ≥ 4}. So

a ∪ b = {x : 2 ≤ x ≤ 4 ∪ x ≥ 4}

a ∪ b = {2, 3, 4, 5, 6, 7, 8,..........}

To learn more about random variable link is here

brainly.com/question/24690730

#SPJ4

Answer:

Hope that will help you

Step-by-step explanation:

BD = 14.5

We need to graph the next given inequalities:

For 2x+y<1.

We need to find the x-intercept and y-intercept

To find the y-intercept, set x=0

To find the x-intercept, set y=0

The symbol "<" means less than, so we get the next graph:

For the second inequality y>1/2x+2

To find the y-intercept, set x=0