2.) A rectangular garden is 6 ft longer than it is wide. Its area is 352 ft2. What are its dimensions?

Using proportions, it is found that due to the smaller division of the exchange rate by the cost, the souvenir would be less expensive in Egypt.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The souvenir would be less expensive in the country in which the division of the exchange rate by the cost is smaller.

In Britain, the cost is of 17, with an exchange rate of 0.83, hence the cost in US dollars is:

c = 17/0.83 = $20.48.

In Egypt, the cost is of 288, with an exchange rate of 18, hence the cost in US dollars is:

c = 288/18 = $16.

16 < 20.48, hence the souvenir would be less expensive in Egypt.

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Answer:I think it’s 10718.571428571 but rounded to a tenth it’s 10724.6

Step-by-step explanation: 10,150+10211+10424+10769+10844+11155+11477 divided by 7 equals 10718.571428571 or 10724.6.

The range is virtually the answer to the question,

"In which interval can find all y-values of the function".

So you look at the y-axis and see that your function begins with \(y=-5\) (including -5 because of the dot on the graph) and ends at including \(y=-1\).

So the interval notation is,

\(y\in[-5,-1]\)

But you are asked to specify the set notation of the interval, to do so first rewrite the interval using inequality operators, say we find some y in between (and including) -5 and -1,

\(-5\leq y\leq-1\)

To specify that this is a set use curly bracelets and a bar,

\(\{y\mid-5\leq y\leq-1\}\).

The y before bar is a step function and everything followed after the vertical bar is the range of the step function.

Hope this helps.

Using it's concept, it is found that the range of f(x) is given by:

{y|-5 <= -y <= -1}

The range of a function is the set that contains all possible output values. In a graph, it is given by the values of y, that is, the values of the vertical axis.

In the function described by this graph, the vertical axis assumes values between -1 and -5, inclusive, hence the range is given by:

{y|-5 <= -y <= -1}

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Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

Answer: 2500

Step-by-step explanation: If you calculate out 5x6 that equals 30 and 5x5-5 equals 20, when you do 30+20 that equals 50 and 50 to the 2nd power is 50x50 and that would equal 2500

We will have the following:

All the outcomes for the event of choosing a letter from A to D are:

So half the times a ball is picked there should be one from letter A to D.

***Explanation***

We have the following set:

So, the set has a magnitude of 8 [Since it has 8 components].

When we pick any given value from the set we will have that we will have to pick 1 value from the total set, that is:

But, when we are asked of the event of taking specific values from to D we are asked to pick 4 specific values:

That set has a magnitude of 4. So, in order to determine the event of picking a value from the second set on the first set, we will have:

This event is represented by "p" the probability of that happening. So, the probability of the event happening [Selecting one of the balls of the specific set] is 1/2; in other words, each time you pick there is a 50% chance you will get one of the values of the smaller set.

Answer:

its a non-repeating decimal

Step-by-step explanation:

repeating decimals continue you on for a while, if decimals have a line over top of the last ending number that means it kept repeating so they cut it short, this one however doesn't have that symbol.

Suppose \(f(x) =8^{3x\) and \(g(x) =8^{4x\), function operations that are correct include the following:

A. (f + g)(x) = \(8^{3x} + 8^{4x}\)

B. (f × g)(x) = \(8^{7x}\)

C. (f - g)(x) = \(8^{3x} - 8^{4x}\)

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the division and multiplication law of exponents for powers of the same base to the functions, we have the following:

(f × g)(x) = \(8^{3x+ 4x}=8^{7x}\)

(f ÷ g)(x) = \(8^{3x- 4x}=8^{-x}\)

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Answer:

2(2w) + 2(w) = 390

6w = 390

w = 65

2w or l = 130 feet

Answer:

A. (5, 2)

Step-by-step explanation:

Given

\(\begin{cases}x+y=7,\\2x+3y=16\end{cases}\),

Multiply the first equation by 2, then subtract both equations to get rid of any terms with \(x\):

\(\begin{cases}2(x+y)=2(7),\\2x+3y=16\end{cases}\\\implies 2x+2y=14,\\2x+3y=16,\\2x-2x+2y-3y=14-16,\\-y=-2,\\y=\boxed{2}\)

Substitute \(y=2\) into any equation to solve for \(x\):

\(x+y=7,\\x+2=7,\\x=7-2=\boxed{5}\)

Since coordinates are written as (x, y), the solution to this system of equations is (5, 2).

Answer:

A. ( 5 , 2 )

Step-by-step explanation:

In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

To make x and 2x equal, multiply all terms on each side of the first equation by 2 and all terms on each side of the second by 1.

Simplify.

Subtract 2x+3y=16 from 2x+2y=14 by subtracting like terms on each side of the equal sign.

Add 2x to -2x. Terms 2x and -2x cancel out, leaving an equation with only one variable that can be solved.

Add 2y to -3y.

Add 14 to -16.

Divide both sides by -1.

Substitute 2 for y in 2x+3y=16. Because the resulting equation contains only one variable, you can solve for x directly.

Multiply 3 and 2

Subtract 6 from both sides of the equation.

Divide both sides by 2.

The system is now solved.

x = 5 and y = 2

The points of the line for the problem is (8, -4).

For the given question;

The equation of the line in point slope form is given as;

(y + 4) = (1/3)(x - 8)

The standard form of equation of line in point slope form is;

y - y1 = m(x - x1)

where, m is the slope and (x1, y1) is the points.

Thus, by comparing the given equation with the standard form.

(x1, y1) = (8, -4)

Thus, the points of the given equation of the line is (8, -4).

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Step-by-step explanation:

115 its rhe reuth i rhibk lol

Answer:

To find the cost of a hot dog and hamburger, we can set up a system of equations based on the information given. For example, let x be the cost of a hot dog and y be the cost of a hamburger. Then we have:

4x + 7y = 68 (equation 1)

7x + 3y = 67 (equation 2)

We can use substitution or elimination methods to solve the system of equations.

Substitution method:

Solve equation 1 for y in terms of x: y = (68 - 4x)/7

Substitute this expression into equation 2: 7x + 3((68 - 4x)/7) = 67

Simplifying and solving for x: 7x + 3(68 - 4x)/7 = 67

7x + 204 - 12x = 469

-5x = -401

x = 80

Substitute x = 80 back into equation 1: 4(80) + 7y = 68

320 + 7y = 68

7y = -252

y = -36

Therefore, the cost of a hot dog is $80, and the price of a hamburger is $-36 (which is not possible, it could be a typo or mistake in the given information)

Step-by-step explanation:

The two relationships that describe a function in the table are A: Name as a function of hair color, and D: Eye color as a function of hair color.

A function is a relationship between two sets of values in which each element of the first set corresponds to exactly one element of the second set. In this table, for each hair color there is only one associated name, so the relationship between name and hair color is a function. Similarly, for each hair color there is only one associated eye color, so the relationship between eye color and hair color is also a function.

Note that the other relationships listed in the question (B, C, E and F) are not functions because they do not have a one-to-one correspondence between the two sets of values. For example, in the relationship between eye color and name, multiple people (Juan and Keshia) have the same eye color (brown), so this relationship does not describe a function.

Therefore, options A and D are the correct answer.

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is simply changing from percentage form to a decimal form usually, but the fractional form works the same.  Check the picture below.

The statements that are correct about the triangles XYZ and PQR include the following;

PR is the hypotenuse of the right triangle PQR and

QR = c² - a². That is option A and B respectively.

A right angle triangle is defined as the type of triangle that has one of it's angles equal to 90° and the remaining two less than 90°.

According to the Pythagorean theorem which states that the sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).

That is, c² = a² + b².

The hypotenuse is the longer side of a right angle triangle, therefore, PR is the hypotenuse of the right triangle PQR.

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Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

The probability that:

First, check if it is appropriate to use the normal approximation to the binomial distribution. The rule of thumb is that this approximation is reasonable if both np and n(1-p) are greater than 5. In this case, p = 0.83 (probability of failure), n = 70 (number of trials).

So,

np = 700.83 = 58.1,

n(1-p) = 700.17 = 11.9.

Both quantities are larger than 5, so use the normal approximation.

Convert this to a problem involving a normal distribution. The mean of this distribution is np = 58.1 and the standard deviation is √(np(1-p)) = √(700.830.17) = 6.35.

(a) within 2 years 47 or more fall:

This corresponds to a Z-score of (47.5 - 58.1) / 6.35 = -1.67. The probability that a standard normal variable is greater than -1.67 is 0.9525.

So the probability that 47 or more products fail is approximately 0.9525.

(b) within 2 years 58 or fewer fail:

This corresponds to a Z-score of (58.5 - 58.1) / 6.35 = 0.063. The probability that a standard normal variable is less than 0.063 is 0.5250.

So the probability that 58 or fewer products fail is approximately 0.5250.

(c) within 2 years 15 or more succeed:

Since the probability of success is 1-p, this is equivalent to fewer than (70 - 15 = 55) failing. This corresponds to a Z-score of (54.5 - 58.1) / 6.35 = -0.567.

The probability that a standard normal variable is greater than -0.567 is 0.7151.

So the probability that 15 or more products succeed is approximately 0.7151.

(d) within 2 years fewer than 10 succeed:

This is equivalent to more than (70 - 10 = 60) failing. This corresponds to a Z-score of (60.5 - 58.1) / 6.35 = 0.377.

The probability that a standard normal variable is less than 0.377 is 0.6478.

However, since we want more than 60 failing, the probability that the variable is greater than 0.377, which is 1 - 0.6478 = 0.3522.

So the probability that fewer than 10 products succeed is approximately 0.3522.

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Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

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Answer:

We need the figure

Explanation:

Can't describe a figure with no knowledge on what is it like.

Answer:

It has no rotational symmetry

Answer:

Perimeter = 126cm

Area = 972cm^2

Step-by-step explanation:

6*4.5 = 27

8*4.5 = 36

Perimeter = 27*2+36*2= 126 cm

Area = 27*36 = 972 cm^2

Hope this helped!

Answer:

Perimeter = 126 cm, area = 972 cm2

Step-by-step explanation:

Rectangle perimeter:

Rectangle area:

When scaled, the perimeter will change by same factor but the area by the square of same factor.

Applying to the given rectangle

Perimeter:

Area:

Correct choice is B

The number of constructive seedlings in a row of 50 seeds is 46.

What is probability of a given event and how can it be analyzed?
Potential is described by probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability generally refers to the degree to which something is likely to occur. Utilize probability to ascertain how likely something is to occur. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is. In the probability scale, 0 indicates an impossibility and 1 indicates a certainty. Every event's probability in a sample space is one.

Given, the germination rate of the seeds to seedlings is = 92%
Therefore, the probability of any seed sprouting is 0.92.
Hence the required number of seedlings can be expected in a row of 50 seeds = 50*0.92 = 46 seeds
Thus, the number of constructive seedlings in a row of 50 seeds is 46.

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Answer:

x=1

Step-by-step explanation:

i believe its asking at which point is the output the same and when x=1 they both output 3

Given that:

- Triangle ABC is reflected across the y-axis to form the triangle A'B'C'.

- It was then dilated by the following scale factor in order to form triangle A"B"C":

You need to remember the following definitions in order to solve the exercise:

1. In Transformations, the original figure is called "Pre-Image" and the figure obtained after the transformation is called "Image".

2. When the transformation is a Reflection, the Image and the Pre-Image have the same size and shape.

3. In Dilations, the Image and the Pre-Image have the same shape but their sizes are different.

4. Two figures are similar when their corresponding angles are congruent and the ratios of the lengths of their corresponding sides are proportional.

5. Two figures are congruent when they have the same size and the same shape.

Then, you can conclude that:

• The triangles ABC and A'B'C' have the same shape and size. Therefore, they are congruent.

• The triangles ABC and A"B"C" have different sizes, therefore, they are not congruent.

• Knowing that the triangles ABC and A'B'C' are congruent, and knowing that A'B'C' has dilated to get the triangle A''B''C'', you can determine that the triangles ABC and A"B"C" are similar.

Hence, the answer is: Option A.

if its constant rate or unit rate its just multiple 6 until u get 30

Answer:

only god knows

Step-by-step explanation:

because they didn't give us an answer on how many text messages anyone sent

To find the median of the data, we need to arrange the data in ascending order. Then, identify the middle number in the ascending order data.

The middle number in the data can be found by using two formulas:

Given data: 0, 9, 6, 4, 2

When arranged in ascending order, we get:

Clearly, the total numbers in the ascending order data set = 5 numbers. Thus, the total numbers in the data set is odd (as 5 is an odd number). Therefore, as stated above, we will apply the formula (n + 1)/2 to determine the position of the middle number (median) in the ascending order data.

Therefore, the number "4" is the median.

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If Colah Company purchased $2,000,000 of Jackson, Inc., 6% bonds at par on July 1, 2021. The journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

Journal entry is used by companies to record their day to day business transaction.

July 1 2021

Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000

December 31 2021

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

December 31 2021

Debit Available-for-sale securities $300,000

Unrealized Gain - Other comprehensive income $300,000

($2,000,000 - $2,300,000)

June 30 2022

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

The entry necessary upon sale of the Jackson bonds on July 1, 2022 is:

July 1 2022

Debit Available-for-sale securities  $2,300,000

Unrealized Gain-Other comprehensive income account $300,000

Credit Cash $1,800,000

Credit Realized Loss on the sale of Available-for-sale securities $200,000  

[$1,800,000 - $2,000,000= $200,000 (Realized Loss)]

2. Table to show the effect of the Jackson bonds on Colah’s net income,

                             2021                   2022                       Total

Net Income       $60 ,000        ($140,000)              ($80,000)

( 60,000 - $200,000= -$140,000)

OCI                       $300,000                                         $300,000

Comprehensive Income $360,000 ($140,000) $220,000

Therefore the  journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

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The value of the product of the number as given in the task content is; Choice B; 1.

It follows from the task content that the numbers whose product are to be determined are; ¾ and 1⅓.

To effectively multiply, we must convert the mixed number to a fraction as follows;

1⅓ = 4/3.

Hence, the product is; 4/3 × 3/4 = 12/12 = 1.

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