ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!!

Answer:

c) t = 10

Step-by-step explanation:

3(2t + 5) = 5t + 25

6t + 15 = 5t + 25

-5t         -5t

t + 15 = 25

  -15    -15

t = 10

Check your answer:

6t + 15 = 5t + 25

6(10) + 15  = 5(10) + 25

60 + 15 = 50 + 25

75 = 75

This statement is correct

Hope this helps!

Answer:

10

Step-by-step explanation:

i took the test and got it right

Answer:

a^2 + b^2 + c^2 +2ab + 2ac + 2bc

The list λv1, λv2, ..., λvm is linearly independent vectos because the only solution to the equation λa1v1 + λa2v2 + ... + λamvm = 0 is a1 = a2 = ... = am = 0, given that V1, V2, ..., Vm is linearly independent and λ ≠ 0.

To prove that the list λv1, λv2, ..., λvm is linearly independent, we need to show that the only solution to the equation

a1(λv1) + a2(λv2) + ... + am(λvm) = 0

is a1 = a2 = ... = am = 0.

We can rewrite the equation as

(λa1)v1 + (λa2)v2 + ... + (λam)vm = 0

Since λ ≠ 0, we can divide each term by λ:

a1v1 + a2v2 + ... + amvm = 0

Now, we know that V1, V2, ..., Vm is a linearly independent list of vectors. Therefore, the only solution to the above equation is a1 = a2 = ... = am = 0.

Hence, we have shown that λv1, λv2, ..., λvm is linearly independent.

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Answer:

Not a function

Step-by-step explanation:

For an equation to be a function, there should be only one y-coordinate per x-coordinate. Since this relation has both (-1,9) and (-1,4), this is not a function.

Answer:not a function

Step-by-step explanation:

because when you put the points on the coordinate plane your shape will come out as a v shaped object. In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers

Size of sample needed to determine the percentage of people with give margin of error is equal to 1691.

As given in the question,

Margin of error = 2%

                          = 0.02

Sample proportion 'p' = 0.5

⇒ (1 - p) = 1 - 0.5

             = 0.5

Let 'n' represents the sample size

Z- value at confidence interval 90% = 1.645

Formula used

Margin of error = z-value √ [p( 1-p)/n]

Substitute the value we get,

0.02 = 1.645 √ (0.5)(0.5)/n

Squaring on both the side

0.0004 = 2.706025 ( 0.25/n)

⇒ n = ( 2.706025 × 0.25 )/ 0.0004

⇒ n = 1691.26

⇒ n ≈ 1691

Therefore, size of sample needed with given margin of error is equal to 1691.

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The area of this equiangular hexagon is 104sqrt(3).

An equiangular hexagon has six equal angles, so each angle measures 120 degrees. We can divide this hexagon into six equilateral triangles with side lengths of 6, 8, and 12.

To find the area of each equilateral triangle, we can use the formula

\(A = (\sqrt{(3)/4} ) \times s^2\), where s is the length of a side.

For the triangle with side length 6, its area is

\(A1 = (\sqrt{(3)/4} ) \times 6^2\) = \(9\sqrt{3}\)

For the triangle with side length 8, its area is

\(A2 = (\sqrt{(3)/4} ) \times 8^2 = 16\sqrt{3}\)

For the triangle with side length 12, its area is

\(A3 = (\sqrt{(3)/4} ) \times 12^2 = 27\sqrt{3}\)

The area of the hexagon is simply the sum of the areas of these six equilateral triangles, which is:

A = A1 + A2 + A3 + A1 + A2 + A3

= 2A1 + 2A2 + 2A3

\(= 2(9\sqrt{3} ) + 2(16\sqrt{3} ) + 2(27\sqrt{3} )\\= 104\sqrt{3}\)

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The transformation rule applied if the image is of the reflection over the mirror line x=0 for the shape on the coordinate plane is (x, y) → (-x, y) option second is correct.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have quadrilateral showing in the picture.

Transformation rule applied if the image is of the reflection over the mirror line x=0 for the shape on the coordinate plane.

(x, y) → (-x, y)

After the transforming the coordinate according to the transformation rule, we will get the image of the given figure

Thus, the transformation rule applied if the image is of the reflection over the mirror line x=0 for the shape on the coordinate plane is (x, y) → (-x, y) option second is correct.

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Answer: c and D is the answer

Step-by-step explanation: These are just some

equivalent fractions of 4/16:

1/4 = 2/8 = 3/12 = 4/16

= 5/20 = 6/24 = 7/28 = 8/32

= 9/36 = 10/40 = 11/44 = 12/48

= 13/52 = 14/56 = 15/60 = 16/64

= 17/68 = 18/72 = 19/76 = 20/80

= 21/84 = 22/88 = 23/92 = 24/96

= 25/100 = 26/104 = 27/108 = 28/112

= 29/116 = 30/120 = 31/124 = 32/128

= 33/132 = 34/136 = 35/140 = 36/144

= 37/148 = 38/152 = 39/156 = 40/160

= 41/164 = 42/168 = 43/172 = 44/176

= 45/180 = 46/184 = 47/188 = 48/192

= 49/196 = 50/200 = 51/204 = 52/208

= 53/212 = 54/216 = 55/220 = 56/224

= 57/228 = 58/232 = 59/236 = 60/240

= 61/244 = 62/248 = 63/252 = 64/256

= 65/260 = 66/264 = 67/268 = 68/272

= 69/276 = 70/280 = 71/284 = 72/288

= 73/292 = 74/296 = 75/300 = 76/304

= 77/308 = 78/312 = 79/316 = 80/320

= 81/324 = 82/328 = 83/332 = 84/336

= 85/340 = 86/344 = 87/348 = 88/352

= 89/356 = 90/360 = 91/364 = 92/368

= 93/372 = 94/376 = 95/380 = 96/384

= 97/388 = 98/392 = 99/396 = 100/400

 hope this helps

Answer: If two concentric circles are projected onto each other, then there is only one homothety that maps one circle onto the other. This is because the center of the circles is the only point that remains fixed under the homothety.

48 kilometers

29 + 19 = 48

hope this is helpful!

The graphs of all the functions are plotted on the graph.

Given area the functions as shown in the question

Since the graph is not given, we will plot the graph of all the functions given.

Refer to the graph attached. It shows all the functions plotted.

Therefore, the graphs of all the functions are plotted on the graph.

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Answer: 3750

Step-by-step explanation:

2461,8

hope this helps!! just use the formulas and substitute

Answer:

We can rewrite this as \(\frac{200x}{x} + \frac{-300}{x}\).

\(\frac{200x}{x}\) simplifies to 200 after eliminating x from the numerator and denominator and \(\frac{-300}{x}\) becomes \(-\frac{300}{x}\) so the final answer is \(200 - \frac{300}{x}\).

Answer:

\(\sqrt{418}\)

Step-by-step explanation:

The length of a diagonal of a square is \(\sqrt{2}a\), where a is the length of one side.

If the area of a square garden is 209m, we know that the side length must be \(\sqrt{209}\)m, since the area of a square is it’s side length squared.

Now we can substitute inside the formula.

\(\sqrt{2}\cdot\sqrt{209}\)

When multiplying roots, the multiplication problem can simplify down to whatever is in the roots multilpied by each other.

So, \(209\cdot 2 = 418\)

So the length of the diagonal is \(\sqrt{418}\) m.

Hope this helped!

The lower bound of c-d is 42.70 and the upper bound of c-d is 42.69.

In the given question, a number, c, rounded to 1 d.P. is 47.3.

A number, d, rounded to 1 d.P. is 4.6.

We have to find the lower and upper bound of c-d.

The maximum and smallest values that a number may have before it was rounded are known as upper and lower limits. They are also known as accuracy limits.

Error intervals are a useful tool for expressing the upper and lower bounds.

This is the lower bound for c; the smallest integer that will round to 47.3 is 47.25.

47.33999... is the highest number of c that may be rounded down to 47.3. Therefore, we define 47.34 as the upper bound.

This is the lower bound for d; the smallest integer that will round to 4.6 is 4.55.

4.64999... is the highest number of c that may be rounded down to 4.6. Therefore, we define 4.65 as the upper bound.

So, the lower bound of c-d = 47.25-4.55 = 42.70

So, the upper bound of c-d = 47.34-4.65 = 42.69

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As the degrees of freedom (DF) increase, the t distribution approaches the normal distribution. Therefore, the correct answer option is: C. normal distribution.

The degrees of freedom (DF) in a sample are typically used to correct a possible bias that exists between the alternative and null hypotheses because they are the maximum number of logically independent numerical values (data points) in the final calculation of a statistical problem.

A normal distribution is sometimes referred to as the Gaussian distribution and it can be defined as a probability distribution that is continuous and symmetrical on both sides of the mean, which shows that all data near the mean have a higher frequency than data that are far from the mean.

In this context, we can reasonably infer and logically deduce that the t-distribution generally approaches the normal distribution as the degrees of freedom (DF) increase.

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We can conclude that the relation between the sum of the squared residuals and the quantity q is q = -2488 - 2ad

To obtain the residuals (ei) and the sum of the squared residuals (e^2i) for a given quadratic equation, we need to substitute the given roots into the equation and calculate the differences between the actual values and the predicted values.

In this case, the quadratic equation is x^2 + 8x + 25 = 0, and the roots are 4 - 3i and 4 + 3i.

Let's calculate the residuals and the sum of the squared residuals:

Substitute the first root (4 - 3i):

e1 = (4 - 3i)^2 + 8(4 - 3i) + 25 = 16 - 24i - 9 + 32 - 24i + 25 = 58 - 48i

Substitute the second root (4 + 3i):

e2 = (4 + 3i)^2 + 8(4 + 3i) + 25 = 16 + 24i - 9 + 32 + 24i + 25 = 58 + 48i

The sum of the squared residuals is obtained by squaring each individual residual and summing them up:

e^2i = (58 - 48i)^2 + (58 + 48i)^2 = 3364 - 5568i + 2304i^2 + 3364 + 5568i + 2304i^2

= 6728 + 4608i^2 + 4608i^2

= 6728 + 4608(-1) + 4608(-1)

= 6728 - 4608 - 4608

= -2488

Now, let's relate the sum of the squared residuals (e^2i) to the quantity q mentioned in (1.8).

In (1.8), the quantity q represents the sum of the squared residuals, which is given as q = e^2i - 2ad.

Comparing this with our calculated sum of the squared residuals (e^2i = -2488), we can conclude that the relation between the sum of the squared residuals and the quantity q is:

q = -2488 - 2ad

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Researchers try to gain insight into the characteristics of a sample population by examining a sample of the population.

A sample is a subset of individuals or units taken from a larger population. Researchers use sampling methods to select a representative group of individuals from the population they are interested in studying. By studying the sample, researchers can make inferences and draw conclusions about the characteristics, behaviors, or trends that may exist within the entire population.

The goal of sampling is to obtain a sample that accurately represents the population in terms of its relevant characteristics. Researchers carefully select their samples to ensure that they are representative and minimize bias. This allows them to generalize the findings from the sample to the larger population with a certain level of confidence.

By examining a sample, researchers can collect data, analyze patterns, and draw conclusions about the population as a whole. This approach is more feasible and practical than attempting to study the entire population, especially when the population is large or geographically dispersed.

Therefore, researchers use samples to gain insight into the characteristics of a population, making option d. "Sample" the correct answer.

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By generating 20 samples of size 100 and calculating the proportions of vacationers who enjoy water parks in each sample, we can assess how closely the samples estimate the percent of all vacationers who enjoy water parks.

To estimate how closely the samples of size 100 reflect the percent of all vacationers who enjoy water parks, we can conduct a simulation using technology.

By generating multiple samples and calculating the proportion of vacationers who enjoy water parks in each sample, we can compare the sample proportions with the known population proportion of 60%.

Using a random number generator or statistical software, we generate 20 samples of size 100. For each sample, we calculate the proportion of vacationers who enjoy water parks by dividing the number of vacationers who enjoy water parks by the total sample size.

After obtaining the sample proportions, we can compare them with the known population proportion of 60%. We can calculate the difference between each sample proportion and 60% to measure how closely the samples estimate the true population proportion.

We can then calculate summary statistics, such as the mean, standard deviation, and confidence interval, to assess the overall accuracy and variability of the sample estimates.

For example, if the average of the sample proportions is close to 60% and the standard deviation is relatively small, it indicates that the samples provide accurate estimates of the population proportion.

On the other hand, if the sample proportions vary widely and deviate significantly from 60%, it suggests that the sample estimates may not accurately reflect the population proportion.

By conducting this simulation with 20 samples of size 100, we can evaluate how closely the samples estimate the percent of all vacationers who enjoy water parks and assess the accuracy and variability of the sample estimates.

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Answer:

15 times of \(\frac{1}{5}\) go into 3.

Step-by-step explanation:

Consider the provided information.

How many times will \(\frac{1}{5}\) go into 3?

First setup the problem in numerical form.

Let x denote the required number of times.

Then, according to the given information, we have

x × \(\frac{1}{5}\) = 3

⇒ x = 3 × 5 = 15

Thus, 15 times of \(\frac{1}{5}\) go into 3.

Answer:

The number of smothered steak dinners that can be made is 9,800

Step-by-step explanation:

A smothered steak dinners consist of customer’s choice of steak with 3 different toppings and 4 different side dishes.

What this means is that;

Customer will select 1 steak out of 5 types

3 toppings out of 8

4 out of 7 side dishes

Thus, the number of steak dinners would be;

5C1 * 8C3 * 7C4

= 5 * 56 * 35 = 9,800

Answer:

Goods Serivces Tax

Step-by-step explanation:

Answer: 84 m

Step-by-step explanation:

To find area, you multiply the width by the length ( A = L x W). Here, it is asking for the length, giving the area of the pool and the width. With this information, you can inverse operation ( division) to find the length of the pool. So:

5628 / 67 = 84

This tells us that the length of the pool is 87 meters. To check this answer, multiply 67 and 84. If it's equivalent to 5628, the given area, then 84 is indeed the length of the pool.

67 x 84 = 5628.

Thus, the length of the pool is 84 m.

The solutions to the quadratic equation x² + 2x - 35 = 0 are x = -7 and x = 5.

To solve the quadratic equation x² + 2x - 35 = 0 by factoring, we need to find two numbers that multiply to -35 and add up to 2. After some trial and error, we can see that the numbers are +7 and -5. So we can write the equation as:

(x + 7)(x - 5) = 0

Using the zero-product property, we know that the only way for the product of two factors to be zero is if at least one of the factors is zero. Therefore, we set each factor to zero and solve for x:

x + 7 = 0 or x - 5 = 0

x = -7 or x = 5

So the solutions to the quadratic equation x² + 2x - 35 = 0 are x = -7 and x = 5.

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Answer:

5/8

Step-by-step explanation:

hope this helps you!!!!

Answer:

Answer: C. Alternate Interior Angles

Step-by-step explanation:

The picture here shows a bunch of angles, and we can see that there is one line that goes through 2 of the lines shown. That line includes all 1-8 angles. Here, we can assume that we are dealing with a pair of parallel lines, and a transversal. The one line going through 2 of the lines shown would be the transversal, and the other 2 lines would be the pair of parallel lines. For the 2 lines that are parallel with each other, there are angles taht are inbetween them, and others that are not. Angles 2, 7, 3, 6 are between the 2 parallel lines, and meaning that they are interior angles. Angles 1, 8, 4, and 5 are not inbetween the 2 parallel lines, so they are called exterior angles. We are given a list of classifications. I will tell what each of them are. Corresponding angles are angles that can be seen on the same side of the transversal, and same position. For example, angles 1 and 3. Consecutive interior angles are angles that are within the 2 parallel lines. They are just right infront of eachother, and both interior angles add up to 180 degrees. Pretty cool. For example, angles 2 and 3 are Consecutive interior angles. Alternate interior angles are angles located between the 2 parallel lines. Instead of them being right infront of eachother like Consecutive interior angles are, they are to the opposite sides. An example, angles 3 and 7 are alternate interior angles. Lastly, but not least, Alternate exterior angles are angles not between the 2 parallel lines. Just like alternate interior angles, they are on the orher side of the transveral across. An example of exterior angles are, angles 1 and 5. On with the question! Question asks for angles 2 and 6. Since they are inbetween the 2 parallel lines, they are interior angles. Crossing out option D, because it talks about exterior angles. Corresponding angles also does not work, because angles 2 and 6 are not on the same side of the transversal(not infront of each other). Corresponding angles also usually include and interior and exterios angle. With said, we can mark option A wrong. Consecutive interior angles are also wrong, the 2 interior angles are not infront of eachother, and are on opposite sides of the transversal. Leading to C Alternate Interior Angles to be the answer, I hope this helps you! Enjoy your day today. ‍⬛‍⬛‍⬛

Step-by-step explanation:

Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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Pseudoscience lacks rigorous standards used in real scientific inquiries. Pseudoscience should be viewed with skepticism and critical evaluation to avoid being misled by unsupported claims.

Pseudoscience refers to claims, theories, or practices that are presented as scientific but lack scientific evidence, methods, or standards. Unlike real scientific inquiries, pseudoscientific claims often lack empirical evidence, peer-reviewed research, and falsifiability. This lack of rigorous standards means that pseudoscientific claims are often not subject to scrutiny and validation through empirical testing and independent review.

Pseudoscience is often associated with claims that are presented as scientific but lack scientific rigor. This means that such claims do not adhere to the rigorous standards and methods used in real scientific inquiries. In contrast, real scientific inquiries rely on empirical evidence, logical reasoning, critical thinking, and peer-reviewed research to advance knowledge and understanding of natural phenomena. One of the key differences between pseudoscience and real scientific inquiry is the absence of empirical evidence. Real scientific inquiries rely on systematic observation, measurement, and experimentation to generate empirical evidence that can support or falsify scientific claims. In contrast, pseudoscientific claims often rely on anecdotes, testimonials, or unproven assumptions to support their claims.

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A rectangular prism with a length of 9.3 centimeters, width of 5.9 centimeters, and height of 4.4 centimeters. The volume is 241.428 cu. cm (Option b).

The formula to calculate the volume of a rectangular prism is

V= l × w × h.

Here, l, w, and h represent the length, width, and height of the prism respectively. The length, width, and height of the rectangular prism are as follows:

Length (l) = 9.3 cm

Width (w) = 5.9 cm

Height (h) = 4.4 cm

Therefore, the formula to calculate the volume of the rectangular prism is:

V= l × w × h

On substituting the given values in the formula, we get

V = 9.3 × 5.9 × 4.4V = 241.428 cu. cm

Hence, the volume of the rectangular prism is 241.428 cubic centimeters. Option b is the correct answer.

Note: Always remember the formula V = l × w × h to calculate the volume of a rectangular prism.

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